tag:blogger.com,1999:blog-45601270371537567562024-03-04T20:01:54.434-08:00Różne oblicza geometrycznego pięknaAnonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.comBlogger14125tag:blogger.com,1999:blog-4560127037153756756.post-89093292870842766582018-12-03T00:24:00.001-08:002018-12-03T00:24:55.164-08:00Kolejne lekcje geometrii<div style="text-align: center;">
W ostatnim tygodniu odbyły się kolejne lekcje geometrii przeprowadzone przez uczniów uczestniczących w projekcie. </div>
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Uczestnicy lekcji byli bardzo zaciekawieni i chętnie wykonywali przygotowane ćwiczenia.</div>
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Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-21569952390486481762018-11-27T10:39:00.002-08:002018-11-27T10:39:38.513-08:00Lekcja geometriiW ramach projektu uczniowie mają przeprowadzić lekcje o "wielościanach wokół nas" w klasach młodszych. Niedawno taka lekcja miała miejsce w klasie 7. Uczniowie dowiedzieli się co to jest wielościan, wierzchołek, krawędź czy ściana wielościanu. Dowiedzieli się gdzie na co dzień spotykają się z wielościanami oraz co to są opakowania "tetra pack". Na koniec mieli za zadanie ułożyć ze specjalnych klocków, w kształtach figur geometrycznych, dowolnie wybraną bryłę.<br />
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Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-39924910881478729752018-11-07T11:25:00.000-08:002018-11-07T11:25:14.026-08:00Kostka Rubika, Kosta Soma<div style="text-align: center;">
Prezentacja dotycząca kostki Rubika oraz Kosty Soma</div>
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<div>
<iframe src="https://onedrive.live.com/embed?cid=644B26A0FB734FA3&resid=644B26A0FB734FA3%212380&authkey=AKF7TZWKrmJuSs4&em=2&wdAr=1.7777777777777777" width="610px" height="367px" frameborder="0">To jest osadzony dokument pakietu <a target="_blank" href="https://office.com">Microsoft Office</a> obsługiwany przez aplikację <a target="_blank" href="https://office.com/webapps">Office Online</a>.</iframe></div></div>
Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-35095813444846846032018-11-05T11:24:00.001-08:002018-11-05T11:24:18.072-08:00Wielościany w ozdobach domowych<!--[if gte mso 9]><xml>
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<h1 style="text-align: center;">
<span style="color: #7030a0; font-family: "Arial Rounded MT Bold",sans-serif; mso-bidi-font-family: Aharoni;">Wielo</span><span style="color: #7030a0; font-family: "Calibri",sans-serif;">ś</span><span style="color: #7030a0; font-family: "Arial Rounded MT Bold",sans-serif; mso-bidi-font-family: Calibri;">ciany w ozdobach domowych – </span>najczęściej <span style="mso-spacerun: yes;"></span>widzianymi przez nas wielościanami w
domu są nowoczesne lampy.</h1>
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<span style="color: black; font-family: "Verdana",sans-serif; font-size: 14.0pt; line-height: 105%;">*Przykłady skomplikowanych brył zbudowanych
na bazie graniastosłupów, ostrosłupów i innych wielościanów</span></div>
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<br /></div>
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<span style="font-size: 14.0pt; line-height: 105%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">* Hitem sezonu WIOSNA 2006 stał się
żyrandol w kształcie toroidalnego wielościanu odkrytego w 1977 roku przez
węgierskiego matematyka Lajosa Szilassiego i dziś
znanego pod jego nazwiskiem. Konstrukcję wykonał Hans Schepker z Harrisville w
USA, a zaprezentował ją w Atlancie podczas VII Konferencji G4G (Gathering for
Gardner) organizowanej co 2 lata</span><span style="font-size: 16.0pt; line-height: 105%; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;">.</span></div>
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<![endif]--><span style="color: #7030a0; font-family: "Calibri",sans-serif; font-size: 18.0pt; line-height: 105%; mso-ansi-language: PL; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><span style="color: black;">Ż</span>yrandol z graniastosłupa</span><span style="color: black; font-family: "Calibri",sans-serif; font-size: 18.0pt; line-height: 105%; mso-ansi-language: PL; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-themecolor: text1;"> </span><span style="color: black; font-family: "Calibri",sans-serif; font-size: 14.0pt; line-height: 105%; mso-ansi-language: PL; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-themecolor: text1;">- zdjęcie lampy w kształcie graniastosłupa sześcio<span style="mso-no-proof: yes;"></span>kątnego z knajpki wietnamskiej we
Frydlancie. </span></span></div>
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<a href="http://www.matematyka.wroc.pl/matematykawsztuce/wielosciany-wokol-nas"><span style="font-size: xx-small;">Źródło</span></a><br />
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Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-47870285447924078212018-11-04T07:17:00.001-08:002018-11-04T07:17:24.064-08:00Tetra Pack®<!--[if !mso]>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Mention"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Smart Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<div class="MsoNormal" style="text-align: center;">
<span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Szwedzcy projektanci Ruben Ramsing i Erick Akerhund
wymyślili słynne Tetra Classic, Tetra Rex, Tetra Top i Tetra Brick Aseptic.
Opakowania te są wytwarzane są zaczynając od warstw papieru, które zapewniają
konsystencję, plastiku, który zabezpiecza hermetyczność, aluminium, które
blokuje dostęp światła i tlenu oraz warstwy polietylenu, jedynego, który może
mieć kontakt z cieczą. Zadziwiająca geometria pozwala na produkcję właśnie tych
pojemników.</span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
</div>
<div class="MsoNormal">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Tetra
Classic</span></b><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"> – ma postać czworościanu, z czterema ścianami trójkątnymi,
równobocznymi. </span></div>
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<br /></div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://en.pascual.com.mx/wp-content/uploads/2015/12/uva6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://en.pascual.com.mx/wp-content/uploads/2015/12/uva6.jpg" data-original-height="429" data-original-width="653" height="210" width="320" /></a></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal" style="text-align: center;">
<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Tetra
Brick Aseptic</span></b><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"> – ma postać pudełka (cegiełki), a jego
podstawa 6,66 x 10 cm pozwala na to, że na powierzchni 30x40 cm można umieścić
osiemnaście pojemników </span></div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://assets.tetrapak.com/static/pxp/packagetypes/tba_1000_b_perforation_np_relative.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="360" data-original-width="270" height="320" src="https://assets.tetrapak.com/static/pxp/packagetypes/tba_1000_b_perforation_np_relative.png" width="240" /></a></div>
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Tetra
Rex</span></b><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">
– jest graniastosłupem o podstawie kwadratowej z zamknięciem nachylonym albo i
nie</span></div>
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<a href="https://assets.tetrapak.com/static/pxp/packagetypes/tr_1000_b_twistcap_oso34_np_relative.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="360" data-original-width="270" height="320" src="https://assets.tetrapak.com/static/pxp/packagetypes/tr_1000_b_twistcap_oso34_np_relative.png" width="240" /></a></div>
<br /><div class="MsoNormal">
<br /><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></b></div>
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Tetra
Top</span></b><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">
– ma postać graniastosłupa o podstawie kwadratowej, ale z zamknięciem
polietylenowym. </span></div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.multivu.com/players/English/7609551-tetra-pak-just-water/gallery/image/e5a10b7b-5c36-4da3-aaf5-61c1abb7f39d.HR.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.multivu.com/players/English/7609551-tetra-pak-just-water/gallery/image/e5a10b7b-5c36-4da3-aaf5-61c1abb7f39d.HR.jpg" data-original-height="616" data-original-width="800" height="246" width="320" /></a></div>
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<span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
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<b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Monotype Corsiva"; font-size: 18.0pt; line-height: 115%;">Kształty
pudełek:</span></i></b><b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;"><span style="font-size: 18.0pt; line-height: 115%;"> </span></i></b></div>
<div class="MsoListParagraph" style="text-align: center; text-indent: -18pt;">
<span style="font-family: Symbol; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Prostopadłościany</span></div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://4.bp.blogspot.com/lDjm6S-6tbeaGURK7nO8_M1i_OaZ3e8MZpd34U42s7FOiiN69qCKnih-i8g8OOERejtKTseMSJvBYPjt6Y1aCFM=s350" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="251" data-original-width="350" height="229" src="https://4.bp.blogspot.com/lDjm6S-6tbeaGURK7nO8_M1i_OaZ3e8MZpd34U42s7FOiiN69qCKnih-i8g8OOERejtKTseMSJvBYPjt6Y1aCFM=s350" width="320" /></a></div>
<br /><div class="MsoNormal">
<br /></div>
<div class="MsoListParagraph" style="text-align: center; text-indent: -18pt;">
<span style="font-family: Symbol; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Czworościany </span></div>
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<br /></div>
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<div class="MsoNormal">
<br /></div>
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.matematyka.wroc.pl/system/files/u12/opak23.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/system/files/u12/opak23.jpg" data-original-height="140" data-original-width="186" /></a></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoNormal">
<span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
<div class="MsoListParagraphCxSpFirst" style="text-align: center; text-indent: -18pt;">
<span style="font-family: Symbol; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"></span></span></span><span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Graniastosłupy: </span><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="text-align: center;">
<span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">-trójkątne,</span></div>
<div class="MsoListParagraphCxSpMiddle" style="text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.matematyka.wroc.pl/files/u12/opak03.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/files/u12/opak03.jpg" data-original-height="181" data-original-width="270" /></a></div>
<div class="MsoListParagraphCxSpMiddle" style="text-align: center;">
<br /></div>
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.matematyka.wroc.pl/files/u12/opak01.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/files/u12/opak01.jpg" data-original-height="181" data-original-width="270" /></a></div>
<div class="MsoListParagraphCxSpMiddle" style="text-align: center;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="text-align: center;">
<span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">- czworokątne, </span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://s.mamotoja.pl/media/cache/source/media/product/201001/012_01_7582.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="800" data-original-width="687" height="320" src="https://s.mamotoja.pl/media/cache/source/media/product/201001/012_01_7582.jpg" width="274" /></a></div>
<div class="MsoListParagraphCxSpMiddle">
</div>
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://stat-b2.bdsklep.pl/media/cache/gallery/product/3/820/540/989/aunkm6vd/images/12/12515/e-wedel-ptasie-mleczko-waniliowe-380-g__1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="440" data-original-width="385" height="320" src="https://stat-b2.bdsklep.pl/media/cache/gallery/product/3/820/540/989/aunkm6vd/images/12/12515/e-wedel-ptasie-mleczko-waniliowe-380-g__1.jpg" width="280" /></a></div>
<div class="MsoNormal" style="text-align: center;">
<span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">-pięciokątne, </span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://img.e-piotripawel.pl/brandbank/450157" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="600" data-original-width="600" height="320" src="https://img.e-piotripawel.pl/brandbank/450157" width="320" /></a></div>
<div class="MsoNormal">
<span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
<div class="MsoNormal">
<span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"><span style="mso-spacerun: yes;">
</span></span><span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%; mso-fareast-language: PL; mso-no-proof: yes;"><span style="mso-spacerun: yes;"> </span></span><span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"><span style="mso-spacerun: yes;"> </span>-sześciokątne </span></div>
<div class="MsoNormal">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.matematyka.wroc.pl/files/u12/opak05.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/files/u12/opak05.jpg" data-original-height="181" data-original-width="270" /></a></div>
<div class="MsoListParagraphCxSpFirst">
<span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
<div class="MsoListParagraphCxSpMiddle">
<br /></div>
<div class="MsoNormal" style="text-align: center;">
<span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">-ośmiokątne</span> <span style="mso-fareast-language: PL; mso-no-proof: yes;"><span style="mso-spacerun: yes;"> </span></span></div>
<div class="MsoNormal" style="text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://dodomku.pl/images/products_new/400x400/00058829.jpg?id=1504222211" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="262" data-original-width="350" height="239" src="https://dodomku.pl/images/products_new/400x400/00058829.jpg?id=1504222211" width="320" /></a></div>
<div class="MsoListParagraphCxSpFirst">
<br /><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
<div class="MsoListParagraphCxSpLast">
<span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"><span style="mso-spacerun: yes;"> </span></span></div>
<div class="MsoListParagraph" style="text-align: center; text-indent: -18pt;">
<span style="font-family: Symbol; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";">
</span></span></span><span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Walce kołowe i eliptyczne</span></div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://res.cloudinary.com/dj484tw6k/f_auto,q_auto,c_pad,b_white,w_360,h_360/v1499944984/bb/2213.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="360" data-original-width="360" height="320" src="https://res.cloudinary.com/dj484tw6k/f_auto,q_auto,c_pad,b_white,w_360,h_360/v1499944984/bb/2213.png" width="320" /></a></div>
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<br /><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
<div class="MsoNormal">
<br /><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://internetowysupermarket.pl/pol_pl_Brzoskwinie-w-puszce-850g-5648_1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="240" data-original-width="160" src="https://internetowysupermarket.pl/pol_pl_Brzoskwinie-w-puszce-850g-5648_1.jpg" /></a><span style="font-family: Symbol; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"></span></span></div>
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<span style="font-family: Symbol; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"></span></span></span><span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Ostrosłupy</span></div>
<br />
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<span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"> </span><a href="https://img.pakamera.net/i1/1/422/przechowywanie-12213852_4047083422.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="800" data-original-width="637" height="320" src="https://img.pakamera.net/i1/1/422/przechowywanie-12213852_4047083422.jpg" width="254" /></a></div>
<span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"> </span>
<br />
<div class="MsoListParagraph" style="text-align: center; text-indent: -18pt;">
<span style="font-family: Symbol; font-size: 14.0pt; line-height: 115%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"></span></span></span><span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;">Stożki i stożki ścięte</span></div>
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<br /></div>
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<span style="color: black; font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"> </span> <span style="font-family: "Monotype Corsiva"; font-size: 14.0pt; line-height: 115%;"></span></div>
Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-25463830414455281742018-11-03T12:10:00.000-07:002018-11-03T12:14:50.669-07:00Wielościany w architekturze<div style="text-align: center;">
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="1" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
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<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
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<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
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<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
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<w:LsdException Locked="false" Priority="30" QFormat="true"
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
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<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
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<w:LsdException Locked="false" Priority="21" QFormat="true"
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<w:LsdException Locked="false" Priority="31" QFormat="true"
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<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
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<![endif]--><span style="font-size: 10.0pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"><span style="mso-spacerun: yes;"></span>Najstarzszym wielościanem używanym w Architekturze jest
Ostrosłup. Najsłynniejszymi przedstawicielami tej figury są Piramidy w Gizie
wpisane na listę 7 cud</span><span lang="EN-US" style="font-size: 10.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ó</span><span style="font-size: 10.0pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">w Świata.</span></div>
<div style="text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://s0.dziennik.pl/pliki/3628000/3628586-piramidy-w-gizie-900-600.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="533" data-original-width="800" height="213" src="https://s0.dziennik.pl/pliki/3628000/3628586-piramidy-w-gizie-900-600.jpg" width="320" /></a></div>
<div style="text-align: center;">
<span style="font-size: 10.0pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"> </span>
</div>
<div class="MsoNormal" style="line-height: 115%; margin-bottom: 10pt;">
<span style="font-size: 10.0pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Także znane są Piramidy postawione na dziedzińcu Paryskiego Luwru</span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.matematyka.wroc.pl/system/files/u12/wielosciany02.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/system/files/u12/wielosciany02.jpg" data-original-height="186" data-original-width="285" /></a></div>
<br />
<div style="text-align: center;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Dalsze przyłady nie opierają się na
jednym typie figury </span>
</div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div style="text-align: center;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Wieże Kio w Madrycie dwa graniastosłupy
pochyłe o wysokości 114 m i 27 piętrach, nachylone w stosunku do podłoża o 15</span><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">°, co daje
wrażenie, że skłaniają się ku sobie.</span></div>
<div style="text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://kolumber.pl/upload/photos/0005/2502/aa07043268884fb9307797dba6cb9732_big.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://kolumber.pl/upload/photos/0005/2502/aa07043268884fb9307797dba6cb9732_big.jpg" data-original-height="428" data-original-width="640" height="214" width="320" /></a></div>
<br />
<div style="text-align: center;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"> Pentagon czyli graniastosłup pięciokątny
także siedziba Departamentu Obrony Stan</span><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ów Zjednoczonych</span></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.chip.pl/uploads/2016/06/000000000000Sz1bjtXfiJM2w5mBFrDQ.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="408" data-original-width="632" height="206" src="https://www.chip.pl/uploads/2016/06/000000000000Sz1bjtXfiJM2w5mBFrDQ.jpg" width="320" /></a></div>
<br />
<div style="text-align: center;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Kopuła Geodezyjna czyli figura. kt</span><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ó</span><span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">rej powierzchnia jest stworzona
najczęściej z małych tr</span><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ó</span><span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">jkąt</span><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ó</span><span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">w r</span><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ó</span><span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">wnoramiennych jej przykładem może być taka figura w Disneylandzie.</span></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"></span></div>
<div style="text-align: center;">
<a href="https://upload.wikimedia.org/wikipedia/commons/thumb/5/56/Epcot07.jpg/240px-Epcot07.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="181" data-original-width="240" src="https://upload.wikimedia.org/wikipedia/commons/thumb/5/56/Epcot07.jpg/240px-Epcot07.jpg" /></a><span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"> </span></div>
<br />
<div style="text-align: center;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">W Architekturze jako ozdoby wys tępują
także dwudziestościany foremne związane z kultem św.Jana Nepomucena tak zwane "Gwiadzy
Morawskie". Możemy je zobaczyć na zachodzie Polski np. na niekt</span><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ó</span><span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">rych Kamienicach we Wrocławiu</span></div>
<div style="text-align: center;">
<br /></div>
<div style="text-align: center;">
<a href="http://www.matematyka.wroc.pl/system/files/u12/wielosciany17.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/system/files/u12/wielosciany17.jpg" data-original-height="198" data-original-width="285" /></a><span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"> </span></div>
<br />
<div style="text-align: center;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Także często spotykamy się z
zaawansowanymi Figurami na Placach Zabaw np. z Wielościanami Platońskimi i
Archimedesowymi Sześcio-Ośmiościanami.</span></div>
<div style="text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.matematyka.wroc.pl/system/files/u12/wielosciany15.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/system/files/u12/wielosciany15.jpg" data-original-height="190" data-original-width="285" /></a></div>
<div class="MsoNormal" style="line-height: normal; margin: 0cm -90pt 10pt 0cm;">
<br /></div>
<br />
<div style="text-align: center;">
</div>
<div style="text-align: center;">
<a href="http://www.matematyka.wroc.pl/system/files/u12/wielosciany16.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/system/files/u12/wielosciany16.jpg" data-original-height="190" data-original-width="285" /></a><span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"> </span></div>
<br />
<div style="text-align: center;">
<span style="font-size: 10.0pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">W ogrodzie zoologicznym w Libercu (w
p</span><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">ółnocnych Czechach) można zobaczyć interesujący budynek będący
schronieniem flamingów. Jest on wielościanem mającym 36 ścian, z których 24 to
trapezy równoramienne, a 12 to równoramienne trójkąty. </span></div>
<div style="text-align: center;">
<br /></div>
<div style="text-align: center;">
<a href="http://www.matematyka.wroc.pl/system/files/u12/wielosciany03.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/system/files/u12/wielosciany03.jpg" data-original-height="186" data-original-width="285" /></a><span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;"> </span></div>
<br />
<div style="text-align: center;">
<span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">W Paryżu - w miasteczku nauki i techniki La Vilette - znajduje się
mająca intrygujący kształt Geoda (w jej wnętrzu mieści się kino 3D). Oglądana z
daleka wygląda jak kula, ale w istocie budynek ten jest wielościanem o
trójkątnych ścianach. </span></div>
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<span lang="EN-US" style="font-size: 10.0pt; mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri;">Podobną konstrukcję wykorzystano przy projektowaniu
słynnego londyńskiego "ogórka", czyli wieżowca Swiss </span></div>
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Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-37365589243220598792018-10-25T13:01:00.000-07:002018-10-25T13:01:10.824-07:00Moduły "sonobe"<div style="text-align: center;">
Origami modułowe polega na składaniu z dowolnej ilości elementów jakieś bryły, kształtów. Zaś "sonobe" to technika wykonywania modułów tego samego typu. warto wspomnieć, że nazwa techniki pochodzi od jego twórcy: Mitsuroba Sonobe. Moduły "sonobe" przypominają równoległoboki z "kieszonkami" do, których wkłada się "skrzydełka", przez co się je łączy. Wykonamy z nich sześcian, dwunastrościan, trzydziestościan, dwupiramidę trójkątną i wiele innych.</div>
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Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com1tag:blogger.com,1999:blog-4560127037153756756.post-74141214472805185802018-10-21T11:30:00.000-07:002018-10-21T11:30:31.141-07:00Wciągające origami<div style="text-align: center;">
Niektórym tak się spodobało składanie origami, że po ostatnich warsztatach sami poskładali elementy i powstały nowe bryłki.</div>
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Pierwsza złożona z 12 elementów "sonobe". </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD3QLNhewdl6c9Vuw_IK7yHw8o015ehml8kWkP0EYEc5ct0BXBuwJQI7YCQcgXQ-CQ57Hdl181HotsH1Cm94nslgcsnEuS8vhtQNbwTWqwzc3Z7upJIUAkY_r2s-Kvu5AKGbfYYiTJgm8/s1600/IMG_20181011_142322.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1261" data-original-width="1600" height="252" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjD3QLNhewdl6c9Vuw_IK7yHw8o015ehml8kWkP0EYEc5ct0BXBuwJQI7YCQcgXQ-CQ57Hdl181HotsH1Cm94nslgcsnEuS8vhtQNbwTWqwzc3Z7upJIUAkY_r2s-Kvu5AKGbfYYiTJgm8/s320/IMG_20181011_142322.jpg" width="320" /></a></div>
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Szkieletem tej bryły jest ośmiościan foremny (patrz rysunek
poniżej), w którym na każdej z trójkątnych ścian "dobudujemy" ostrosłup
trójkątny wykonany jak wyżej z trzech modułów "sonobe". W każdym "starym" wierzchołku schodzą się po 4 ostrosłupy</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCEY9-tUY0F6OXZ-P_183fygwsDJDgVlIdJC6uah8G_SfgwtKYfbBXMlgM84Q3uRkEP8BkAE0ERbXM0tEt0a0YXH8gLGh2nOSC8MitIIg0LwbHWdLvRH_GGywU5E_E_2pIhY20GreiW-A/s1600/IMG_20181011_142331.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1593" data-original-width="1600" height="318" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCEY9-tUY0F6OXZ-P_183fygwsDJDgVlIdJC6uah8G_SfgwtKYfbBXMlgM84Q3uRkEP8BkAE0ERbXM0tEt0a0YXH8gLGh2nOSC8MitIIg0LwbHWdLvRH_GGywU5E_E_2pIhY20GreiW-A/s320/IMG_20181011_142331.jpg" width="320" /></a></div>
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A tutaj z sześcianem robionym tą samą metodą. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizoQPZxQievw5lVrOm06QbkhFwXw0h1XHJ97gtDMz_IzZOh9ARvzhDHtereeEwwul9bONR05GFLS8oWxyei3YDkUcfL_S-Me8EHDx9wOakAat4S-fn9qj0-pj53CeJXup_JSMw0WR9uQQ/s1600/IMG_20181011_142411.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1105" data-original-width="1600" height="221" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizoQPZxQievw5lVrOm06QbkhFwXw0h1XHJ97gtDMz_IzZOh9ARvzhDHtereeEwwul9bONR05GFLS8oWxyei3YDkUcfL_S-Me8EHDx9wOakAat4S-fn9qj0-pj53CeJXup_JSMw0WR9uQQ/s320/IMG_20181011_142411.jpg" width="320" /></a></div>
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A tutaj nasze Koleżanki, które tak wciągnęło origami, że w każdej wolnej chwili składały kolejne elementy po to aby zacząć składać bryłę z 30 elementów. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOGr2Wfjz58UwLc62Isw_WmIcoT0BXb32QnSRO8tMonbzDzfSEUkOeCj4m-zr1HdFOjQZTZ3VWq05t9XRg3wTJwocJSpK0aa5NTT2ApLbNZwHPN3mmOH8nTjp2DhwLZO9TCu2mFJsRBNE/s1600/IMG_20181011_142416.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1144" data-original-width="1600" height="228" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOGr2Wfjz58UwLc62Isw_WmIcoT0BXb32QnSRO8tMonbzDzfSEUkOeCj4m-zr1HdFOjQZTZ3VWq05t9XRg3wTJwocJSpK0aa5NTT2ApLbNZwHPN3mmOH8nTjp2DhwLZO9TCu2mFJsRBNE/s320/IMG_20181011_142416.jpg" width="320" /></a></div>
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Tu już z pierwszą bryłą i drugą w częściach. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8hgEtZOFzfsvoPBFc6o-L4_NE8OI0ffToN869zU36Ybep2jUvY6km370x5B18rqKr15HDlOS81FacqIDbAzgkn7mit6M9jHs1pLYskKPAZ_kJhjltSg26TrM-g4bvqqe3Cxh-lMuDiiY/s1600/IMG_20181011_145141.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1335" data-original-width="1600" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8hgEtZOFzfsvoPBFc6o-L4_NE8OI0ffToN869zU36Ybep2jUvY6km370x5B18rqKr15HDlOS81FacqIDbAzgkn7mit6M9jHs1pLYskKPAZ_kJhjltSg26TrM-g4bvqqe3Cxh-lMuDiiY/s320/IMG_20181011_145141.jpg" width="320" /></a></div>
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Szkieletem tej bryły jest dwudziestościan foremny (patrz rysunek
poniżej), w którym na każdej z trójkątnych ścian "dobudujemy" ostrosłup
trójkątny wykonany jak wyżej z trzech modułów "sonobe". W każdym "starym" wierzchołku schodzi się po 5 ostrosłupów.</div>
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<a href="http://www.matematyka.wroc.pl/files/u12/orig/sonobe27.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.matematyka.wroc.pl/files/u12/orig/sonobe27.gif" data-original-height="209" data-original-width="270" /></a></div>
<div style="text-align: center;">
<a href="http://www.matematyka.wroc.pl/doniesienia/origami-modu%C5%82owe-cz.i"><span style="font-size: xx-small;">Informacje</span></a></div>
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Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-79042105779805793182018-10-07T09:43:00.002-07:002018-10-07T09:43:46.570-07:00Warsztaty origami<div style="text-align: center;">
Origami modułowe polega na składaniu od kilku do czasem nawet kilkuset
jednakowych elementów (zwanych modułami) w różne kształty. Jako pierwszy
uczniowie poznali jeden z najprostszych modułów o wdzięcznej nazwie <i>sonobe </i>(od nazwiska jego "wynalazcy" - <b>Mitsunobu Sonobe</b>),
który składamy z kwadratowej kartki. Uczniowie mieli za zadanie wykonać z niego sześcian. </div>
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Niektórzy od razu pokusili się o wykonanie gwieździstego ośmiościanu - co wyszło im rewelacyjnie. </div>
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Inne przykładowe bryły wykonane z modułów sonobe.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaKHMUVVuWbyUjRc1hGQYSjJ4B-GvrcOp_bYa0ASgQwPsfC3gvVWPK71yj4UEJl07j619jI5Wzd_FJ0coYXiOpadPAQ-yvdlnJEz9I8VlG4i-SR_91A49FyQybhJZqFfr6KVcEpTBi_4I/s1600/IMG_20181005_130555.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1200" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjaKHMUVVuWbyUjRc1hGQYSjJ4B-GvrcOp_bYa0ASgQwPsfC3gvVWPK71yj4UEJl07j619jI5Wzd_FJ0coYXiOpadPAQ-yvdlnJEz9I8VlG4i-SR_91A49FyQybhJZqFfr6KVcEpTBi_4I/s320/IMG_20181005_130555.jpg" width="240" /></a></div>
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Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com1tag:blogger.com,1999:blog-4560127037153756756.post-63555047304095323822018-10-07T09:17:00.002-07:002018-10-07T09:19:32.604-07:00Dwudziesto-dwunastościan rombowy mały<div style="text-align: center;">
<span style="color: white;"><span style="background: white; border: none 1.0pt; font-family: "arial" , sans-serif; padding: 0cm;"><span style="background-color: #76a5af;"><span style="color: black;">Dwudziesto-dwunastościan
rombowy mały ma 60 wierzchołków, 120 krawędzi i 62 ściany (20 trójkątów
równobocznych, 30 kwadratów i 12 pięciokątów foremnych).</span></span></span></span></div>
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<a href="http://www.decorimpresja.pl/monte/podstaw/przedmiot_p/matma/urban/grafika/bryla3/2012ro9.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.decorimpresja.pl/monte/podstaw/przedmiot_p/matma/urban/grafika/bryla3/2012ro9.gif" data-original-height="505" data-original-width="790" height="204" width="320" /></a></div>
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<span style="color: white;"><span style="background: white; border: none 1.0pt; font-family: "arial" , sans-serif; padding: 0cm;"><span style="background-color: #76a5af;"><span style="color: black;">SIatka wielościanu</span></span></span></span></div>
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<a href="http://www.decorimpresja.pl/monte/podstaw/przedmiot_p/matma/urban/grafika/bryla3/2012ro12.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://www.decorimpresja.pl/monte/podstaw/przedmiot_p/matma/urban/grafika/bryla3/2012ro12.gif" data-original-height="505" data-original-width="790" height="204" width="320" /></a></div>
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<span style="color: white;"><span style="background: white; border: none 1.0pt; font-family: "arial" , sans-serif; padding: 0cm;"><span style="background-color: #76a5af;"><span style="color: black;">Nasza praca</span></span></span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsbmFE4Fnh9ZVNKiOzzVRHr3AqTXd-ek8TwkZseyP2SCi2YFefTCP-teMrAPaWbPkDhQYUWB5Ufr_Dy6x-yiC8uCQ-97JAF0JbfeNGuwFThL-8UPPIXNsGBjrV-6UKYGwzN2w_Oho2sB8/s1600/IMG_20181005_130855.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1578" data-original-width="1600" height="315" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsbmFE4Fnh9ZVNKiOzzVRHr3AqTXd-ek8TwkZseyP2SCi2YFefTCP-teMrAPaWbPkDhQYUWB5Ufr_Dy6x-yiC8uCQ-97JAF0JbfeNGuwFThL-8UPPIXNsGBjrV-6UKYGwzN2w_Oho2sB8/s320/IMG_20181005_130855.jpg" width="320" /></a></div>
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<span style="color: white;"><span style="background: white; border: none 1.0pt; font-family: "arial" , sans-serif; padding: 0cm;"><span style="background-color: #76a5af;"><span style="color: black;"><a href="http://www.decorimpresja.pl/monte/podstaw/przedmiot_p/matma/urban/2012rombm.htm">Źródło</a> </span></span></span></span></div>
Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-34410042604170630472018-10-03T12:44:00.001-07:002018-10-03T12:44:12.223-07:00Sześcian<div style="text-align: center;">
<b>Sześcian</b> (właściwie <b>sześcian foremny</b>, inaczej <b>heksaedr</b>) to wielościan foremny o sześciu ścianach w kształcie przystających kwadratów.</div>
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Ma dwanaście krawędzi, osiem wierzchołków i cztery przekątne. </div>
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Kąt między ścianami o wspólnej krawędzi jest kątem prostym (tj. wynosi 90°), zaś kąt bryłowy przy wierzchołku wynosi π/2. </div>
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Siatki sześcianu</div>
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<a href="https://upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Siatki_szescianu.svg/220px-Siatki_szescianu.svg.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="122" data-original-width="220" src="https://upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Siatki_szescianu.svg/220px-Siatki_szescianu.svg.png" /></a></div>
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Sześcian jest szczególnym przypadkiem graniastosłupa prawidłowego, hipersześcianu (w przestrzeni trójwymiarowej), prostopadłościany i romboedru.</div>
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Nasze sześciany wykonane z siatek narysowanych na papierze</div>
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I sześcian wykonany metodą origami</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3Absewcnop8MD7Mq5PWbSNroo7F4c0zJBFu9L_xfKsclZCH4mnjK9Eum8oxSRd9kE2ZO4hHLqwASXBLDwICCN0xzmEb5nMuhLnLp3xgyMCqReqcATi42Wq7dyne_alXHxXT1EwKPXybc/s1600/IMG_20181003_204852.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1595" data-original-width="1600" height="318" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3Absewcnop8MD7Mq5PWbSNroo7F4c0zJBFu9L_xfKsclZCH4mnjK9Eum8oxSRd9kE2ZO4hHLqwASXBLDwICCN0xzmEb5nMuhLnLp3xgyMCqReqcATi42Wq7dyne_alXHxXT1EwKPXybc/s320/IMG_20181003_204852.jpg" width="320" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEid_iUgnOwmcTGFeQhFNsXH6LCib0EhGMtPxia1ec_NY7P7ttEcidiuNxfEAO5hVvmQIzZODwADeN7hiTL_PO8JCVpBaiZFYX2HJyNhczpbOzraVGE1T_0vMtvpPopi12fAPXtbcEjD2tg/s1600/IMG_20181003_204909.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1155" data-original-width="1028" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEid_iUgnOwmcTGFeQhFNsXH6LCib0EhGMtPxia1ec_NY7P7ttEcidiuNxfEAO5hVvmQIzZODwADeN7hiTL_PO8JCVpBaiZFYX2HJyNhczpbOzraVGE1T_0vMtvpPopi12fAPXtbcEjD2tg/s320/IMG_20181003_204909.jpg" width="284" /></a></div>
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Formy sześcienne spotykane są naturalnie, tak krystalizuje np. halit, chlorek sodu i czasem piryt.</div>
Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-89009627240488202722018-10-03T12:42:00.001-07:002018-10-03T12:42:46.993-07:00Ośmiościan formeny<div style="text-align: center;">
Ośmiościan foremny (inaczej oktaedr) – wielościan foremny o 8 ścianach w kształcie przystających trójkątów równobocznych. Ma 12 krawędzi, 6 wierzchołków i 3 przekątne. Ścinając wierzchołki ośmiościanu, otrzymujemy wielościan półforemny o nazwie ośmiościan ścięty. Ośmiościan foremny jest także antygraniastosłupem. Ośmiościan foremny ma cztery pary ścian do siebie równoległych. </div>
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Siatka ośmiościany foremnego</div>
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Nasz ośmiościan foremny</div>
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<a href="https://pl.m.wikipedia.org/wiki/O%C5%9Bmio%C5%9Bcian_foremny">Źródło</a></div>
Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-36303767741141708272018-10-01T11:59:00.000-07:002018-10-01T12:00:07.687-07:00Wielościan<div style="text-align: center;">
<b>Wielościan</b> jest to figura geometryczna, która:</div>
<ul>
<li style="text-align: center;">jest ograniczona,</li>
<li style="text-align: center;">jest domknięta,</li>
<li style="text-align: center;">jest wypukła,</li>
<li style="text-align: center;">zawiera co najmniej jeden punkt wewnętrzny,</li>
<li style="text-align: center;">jest brzeg jest sumą skończonej liczby wielokątów.</li>
</ul>
<div style="text-align: center;">
Zatem<b> wielościan</b> jest to bryła geometryczna, ograniczona przez powierzchnię wielościenną, czyli powierzchnię utworzoną z wielokątów o rozłącznych wnętrzach i każdym boku wspólnym dla dwóch wielokątów. </div>
<div style="text-align: center;">
<br /></div>
<div style="text-align: center;">
Każdy wielościan utworzony jest z:
</div>
<ul style="text-align: center;">
<li><b>ścian</b> – wielokątów, które razem tworzą <i>powierzchnię wielościanu,</i></li>
<li><b>krawędzi</b>, będących bokami ściany,</li>
<li><b>wierzchołków</b>, będących końcami krawędzi wielościanu.</li>
</ul>
<div style="text-align: center;">
Przykłady wielościanów:</div>
<div style="text-align: center;">
<br /></div>
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Wśród wielościanów wyróżniamy <b>wielościany foremne</b>, które spełniają trzy warunki:</div>
<br />
<ul style="text-align: center;">
<li>ściany są przystającymi wielokątami foremnymi,</li>
<li>w każdym wierzchołku zbiega się jednakowa liczba ścian,</li>
<li>jest bryłą wypukłą.</li>
</ul>
<div style="text-align: center;">
Wielościany foremne są znane również pod nazwą <b>wielościany platońskie. </b>W tabeli poniżej zebrano najważniejsze informacje na ich temat.</div>
<div style="text-align: center;">
<br /></div>
<table class="wikitable"><tbody>
<tr><th style="text-align: center;">Nazwa
</th>
<th style="text-align: center;">Nazwa grecka
</th>
<th style="text-align: center;">Grafika
</th>
<th style="text-align: center;">Ściana
</th>
<th style="text-align: center;">Liczba<br />
ścian
</th>
<th style="text-align: center;">Liczba<br />
krawędzi
</th>
<th style="text-align: center;">Liczba<br />
wierzchołków
</th></tr>
<tr>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/Czworo%C5%9Bcian_foremny" title="Czworościan foremny">czworościan</a>
</td>
<td style="text-align: center;"><i>tetraedr</i>
</td>
<td style="text-align: center;"><a class="image" href="https://pl.wikipedia.org/wiki/Plik:Tetrahedron.svg" title="Czworościan foremny"><img alt="Czworościan foremny" data-file-height="540" data-file-width="570" height="76" src="https://upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Tetrahedron.svg/80px-Tetrahedron.svg.png" width="80" /></a><br />
<small>(<a href="https://pl.wikipedia.org/wiki/Plik:Tetrahedron.stl" title="Plik:Tetrahedron.stl">model 3D</a>)</small></td>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/Tr%C3%B3jk%C4%85t_r%C3%B3wnoboczny" title="Trójkąt równoboczny">trójkąt foremny<br />(równoboczny)</a>
</td>
<td style="text-align: center;"> 4
</td>
<td style="text-align: center;"> 6
</td>
<td style="text-align: center;"> 4
</td></tr>
<tr>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/Sze%C5%9Bcian_(geometria)" title="Sześcian (geometria)">sześcian</a>
</td>
<td style="text-align: center;"><i>heksaedr</i>
</td>
<td style="text-align: center;"><a class="image" href="https://pl.wikipedia.org/wiki/Plik:Hexahedron.svg" title="Sześcian"><img alt="Sześcian" data-file-height="600" data-file-width="540" height="89" src="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Hexahedron.svg/80px-Hexahedron.svg.png" width="80" /></a><br />
<small>(<a href="https://pl.wikipedia.org/wiki/Plik:Hexahedron.stl" title="Plik:Hexahedron.stl">model 3D</a>)</small></td>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/Kwadrat" title="Kwadrat">czworokąt foremny <br />(kwadrat)</a>
</td>
<td style="text-align: center;"> 6
</td>
<td style="text-align: center;"> 12
</td>
<td style="text-align: center;"> 8
</td></tr>
<tr>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/O%C5%9Bmio%C5%9Bcian_foremny" title="Ośmiościan foremny">ośmiościan</a>
</td>
<td style="text-align: center;"><i>oktaedr</i>
</td>
<td style="text-align: center;"><a class="image" href="https://pl.wikipedia.org/wiki/Plik:Octahedron.svg" title="Ośmiościan foremny"><img alt="Ośmiościan foremny" data-file-height="832" data-file-width="840" height="79" src="https://upload.wikimedia.org/wikipedia/commons/thumb/0/07/Octahedron.svg/80px-Octahedron.svg.png" width="80" /></a><br />
<small>(<a href="https://pl.wikipedia.org/wiki/Plik:Octahedron.stl" title="Plik:Octahedron.stl">model 3D</a>)</small></td>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/Tr%C3%B3jk%C4%85t_r%C3%B3wnoboczny" title="Trójkąt równoboczny">trójkąt foremny<br />(równoboczny)</a>
</td>
<td style="text-align: center;"> 8
</td>
<td style="text-align: center;"> 12
</td>
<td style="text-align: center;"> 6
</td></tr>
<tr>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/Dwunasto%C5%9Bcian_foremny" title="Dwunastościan foremny">dwunastościan</a>
</td>
<td style="text-align: center;"><i>dodekaedr</i>
</td>
<td style="text-align: center;"><a class="image" href="https://pl.wikipedia.org/wiki/Plik:Dodecahedron.svg" title="Dwunastościan foremny"><img alt="Dwunastościan foremny" data-file-height="300" data-file-width="300" height="80" src="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Dodecahedron.svg/80px-Dodecahedron.svg.png" width="80" /></a><br />
<small>(<a href="https://pl.wikipedia.org/wiki/Plik:Dodecahedron.stl" title="Plik:Dodecahedron.stl">model 3D</a>)</small></td>
<td style="text-align: center;"><a class="mw-redirect" href="https://pl.wikipedia.org/wiki/Pi%C4%99ciok%C4%85t_foremny" title="Pięciokąt foremny">pięciokąt foremny</a>
</td>
<td style="text-align: center;"> 12
</td>
<td style="text-align: center;"> 30
</td>
<td style="text-align: center;"> 20
</td></tr>
<tr>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/Dwudziesto%C5%9Bcian_foremny" title="Dwudziestościan foremny">dwudziestościan</a>
</td>
<td style="text-align: center;"><i>ikosaedr</i>
</td>
<td style="text-align: center;"><a class="image" href="https://pl.wikipedia.org/wiki/Plik:Icosahedron.svg" title="Dwudziestościan foremny"><img alt="Dwudziestościan foremny" data-file-height="370" data-file-width="385" height="77" src="https://upload.wikimedia.org/wikipedia/commons/thumb/b/b7/Icosahedron.svg/80px-Icosahedron.svg.png" width="80" /></a><br />
<small>(<a href="https://pl.wikipedia.org/wiki/Plik:Icosahedron.stl" title="Plik:Icosahedron.stl">model 3D</a>)</small></td>
<td style="text-align: center;"><a href="https://pl.wikipedia.org/wiki/Tr%C3%B3jk%C4%85t_r%C3%B3wnoboczny" title="Trójkąt równoboczny">trójkąt foremny<br />(równoboczny)</a>
</td>
<td style="text-align: center;"> 20
</td>
<td style="text-align: center;"> 30
</td>
<td style="text-align: center;"> 12
</td></tr>
</tbody></table>
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<div style="text-align: center;">
<span style="font-size: x-small;">Informacje znalezione <a href="https://pl.wikipedia.org/wiki/Wielo%C5%9Bcian_foremny">tutaj</a> i <a href="https://pl.wikipedia.org/wiki/Wielo%C5%9Bcian_foremny">tutaj</a>.</span> </div>
Anonymoushttp://www.blogger.com/profile/12834891699689055156noreply@blogger.com0tag:blogger.com,1999:blog-4560127037153756756.post-21561526685526798012018-09-14T12:23:00.000-07:002018-09-14T12:23:19.382-07:00Początek<div style="text-align: center;">
Jesteśmy grupą uczniów ze Szkoły Podstawowej w Bilczy, która będzie realizowała projekt "Różne oblicza geometrycznego piękna" w ramach <a href="https://www.mbank.pl/mfundacja/mpotega/kontakt/">programu grantowego "mPotęga"</a>.</div>
<div style="text-align: center;">
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<a class="lytebox" href="https://tereszpol.pl/files/news/mfundacja_logotyp_sowa_scaled_300x211_b.jpg"><img alt="" src="https://tereszpol.pl/files/news/mfundacja_logotyp_sowa_scaled_300x211_m.jpg" /></a></div>
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Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
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<![endif]--><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; line-height: 150%;">Naszym celem będzie pokazanie piękna świata patrząc na niego z punktu geometrii. W otaczającym nas świecie istnieją kształty o wyjątkowym pięknie i złożoności, od prostego kwiatka do fiordu. Ludzie stworzyli również nowe formy artystyczne, architektoniczne czy przemysłowe, od barokowej kolumny do bolidu formuły 1. Matematyka, poprzez geometrię, od zawsze była zainteresowana badaniem figur przystosowanych do opisu i reprezentowania naturalnych kształtów albo tworzeniem nowych, sztucznych struktur. </span></div>
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<span style="font-family: "Times New Roman",serif; font-size: 12.0pt; line-height: 150%;">Naszą przygodę zaczniemy od najbardziej szlachetnej rodziny pięciu wielościanów foremnych. Zapoznamy się również z rodzinami brył obejmującymi najprostsze ostrosłupy i graniastosłupy, przechodząc przez wielościany Catalana i archimedesowe, aż do wyszukanych wielościanów gwiaździstych.</span></div>
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<span style="font-family: "Times New Roman",serif; font-size: 12.0pt; line-height: 150%;">Zapraszamy do odwiedzania naszej strony i wspólnej zabawy :)</span></div>
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<span style="font-family: "Times New Roman",serif; font-size: 12.0pt; line-height: 150%;">............................................................................................................... </span></div>
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Już od pięciu lat Fundacja mBanku
koncentruje swoje wysiłki na wspieraniu nauki matematyki, oferując
pasjonatom tej dziedziny różne formy wsparcia. W tegorocznej edycji
programu grantowego "mPotęga" wsparcie otrzymało 185 projektów z całej
Polski. Wśród zwycięzców znalazł się nasz projekt "Różne oblicza geometrycznego piękna". </div>
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Program grantowy mPotęga popularyzuje
matematykę wśród uczniów i zachęca nauczycieli, rodziców i pasjonatów
matematyki do przezwyciężenia rutyny i schematów w nauczaniu tego
przedmiotu.</div>
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