From Hi.gher. Space
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| - | {{Shape|Cube|http://img112.imageshack.us/img112/7352/cube7ty.png|3|6, 12, 8|0|{[[Square|4,]]3}, t{2,4}, or tr{2,2}|<nowiki>3 | 2 4, 2 4 | 2, or 2 2 2 |</nowiki>|[[Line (object)|E]][[Square|E]]E|111 x,y,z|Equilateral [[triangle]], edge sqrt(2)|Cube|[[Octahedron]]|5|[xyz]|5|pure}}
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| - | == Geometry ==
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| - | A '''cube''' is a special case of a [[prism]] where the base is a [[square]].
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| - | === Equations ===
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| - | *Variables:
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| - | <blockquote>''l'' ⇒ length of edges of the cube</blockquote>
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| - | *The [[hypervolume]]s of a cube are given by:
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| - | <blockquote>total edge length = 12''l''<br>
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| - | surface area = 6''l''<sup>2</sup><br>
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| - | volume = ''l''<sup>3</sup></blockquote>
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| - | *The [[planar]] [[cross-section]]s (''n'') of a cube are:
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| - | <blockquote>[!x,!y,!z] ⇒ [[square]] with side length ''l''</blockquote>
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| - | <br clear="all"><br>
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| - | {{Polyhedra}}
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| - | {{Rotope Nav|4|5|6|(II)<br>Circle|III<br>Cube|II'<br>Square pyramid|hedra}}
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| - | {{Bracketope Nav|4|5|6|(xy)<br>Circle|[xyz]<br>Cube|[<xy>z]<br>Cuboid|hedra}}
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Revision as of 10:28, 9 August 2007
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