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</Equation></Text-field>
</Input>
</Group>
<Group view="code" labelreference="L16" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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<Group view="code" labelreference="L17" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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">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<Group view="code" labelreference="L18" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" 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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Cada face tem duas op\303\247\303\265es para uma cor. Existem seis faces, ent\303\243o 2 x 2 x 2 x 2 x 2 x 2 = 2^6. Vamos olhar v\303\241rias destas 64.</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Vamos agora olhar um cubo. Cubos tamb\303\251m tem seis lados, mas eles s\303\243o formas tri-dimensionais e n\303\243o figuras planas. Para tornar f\303\241cil ver todos os lados em uma \303\272nica olhada n\303\263s podemos usar esse esquema de cubo onde as faces do topo e do meio s\303\243o um pouco abertas, para que n\303\263s possamos ver todos os seis lados  de uma vez.</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">As faces de um cubo podem ser pintadas de v\303\241rias maneiras tamb\303\251m. De fato qualquer combina\303\247\303\243o usada acima pode tamb\303\251m ser usada em um cubo. (Voc\303\252 pode querer pegar a imagem abaixo e gir\303\241-la para olhar todas as seis faces.)</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Aqui est\303\243o alguns cubos coloridos. Por favor examine-os de todos os \303\242ngulos e compare com as tri-dimensionais.</Font></Text-field>
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<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE+R2lyZX5wYXJhfnZlcn5vc35vdXRyb3N+bGFkb3NGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">ST5HaXJlfnBhcmF+dmVyfm9zfm91dHJvc35sYWRvc0c2Ig==</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Vamos olhar essas tr\303\252s formas coloridas com as quais n\303\263s trabalhamos acima. Observe que cada uma das tr\303\252s tem dois lados amarelos e 4 lados azuis. Mas os tr\303\252s resultados s\303\243o completamente diferentes. </Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Fica f\303\241cil se n\303\263s examinarmos algumas das maneiras pelas quais podemos girar um cubo. Isso \303\251 importante porque duas colora\303\247\303\265es diferentes do cubo podem se tornar equivalentes, depois de rota\303\247\303\265es.

Cada rota\303\247\303\243o tem um eixo de rota\303\247\303\243o. Cada um dos diagrmas tridimensionais abaixo podem ser organizados usando o mouse. Tente girar o cubo, mantendo o eixo indicado fixo.
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Que tipo de cores podem ser fixadas por um ou mais desses tipos de rota\303\247\303\243o?
 - Se o eixo de rota\303\247\303\243o passa atrav\303\251s de duas faces opostas, e as faces restantes s\303\243o as mesmas cores, ent\303\243o 1, 2, ou 3 rota\303\247\303\265es produzem a mesma cor.
- Se uma das faces restantes \303\251 uma cor, e as outras tr\303\252s outra, ent\303\243o uma rota\303\247\303\243o dupla desse tipo ir\303\241 produzir o mesmo resultado

- Se pares opostos de quatro cores remanescentes s\303\243o da mesma cor, rota\303\247\303\265es duplas tamb\303\251m fixam essa colora\303\247\303\243o
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Que tipos de colora\303\247\303\243o poderiam ser fixadas por um ou mais destes tipos de rota\303\247o?

Um tipo de cor fixado por esse tipo de rota\303\247\303\243o \303\251 quando as duas faces que tocam a extremidade a qual o eixo passa s\303\243o da mesma cor, e as duas faces opostas s\303\243o a mesma, e ent\303\243o dois lados remanescentes s\303\243o o mesmo.

III. Eixos Atrav\303\251s de V\303\251rtices Opostos
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<Input><Text-field style="Text" layout="Normal"><Font encoding="UTF-8">N\303\243o existe outro tipo de colora\303\247\303\243o que n\303\243o seja equivalente a estes acima mas os quais tamb\303\251m tem dois lados verdes e quatro lados roxos - onde os dois lados verdes formam uma extremidade. Quantos destes s\303\243o equivalentes?</Font></Text-field>
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