From Hi.gher. Space
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| - | {{Shape|Glome|''No image''|4|1, 0, 0, 0|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Sphere|L]]L|4 (x,y,z,w)|N/A|N/A|N/A|16|(xyzw)|40|pure}}
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| - | == Geometry ==
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| - | === Equations ===
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| - | *Variables:
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| - | <blockquote>''r'' ⇒ radius of the glome</blockquote>
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| - | *All points (''x'', ''y'', ''z'', ''w'') that lie on the [[surcell]] of a glome will satisfy the following equation:
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| - | <blockquote>x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> + w<sup>2</sup> = r<sup>2</sup></blockquote>
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| - | *The [[hypervolume]]s of a glome are given by:
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| - | <blockquote>total edge length = 0<br>
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| - | total surface area = 0<br>
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| - | surcell volume = 2π<sup>2</sup>''r''<sup>3</sup><br>
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| - | bulk = 2<sup>-1</sup>π<sup>2</sup>''r''<sup>4</sup></blockquote>
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| - | *The [[realmic]] [[cross-section]]s (''n'') of a glome are:
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| - | <blockquote>[!x,!y,!z,!w] ⇒ [[sphere]] of radius (''r''cos(π''n''/2))</blockquote>
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| - | {{Polychora}}
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| - | {{Rotope Nav|15|16|17|III'<br>Cubic pyramid|(IIII)<br>Glome|II'I<br>Square pyramidal prism|chora}}
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| - | {{Bracketope Nav|39|40|41|(<xy>zw)<br>Narrow dicrind|(xyzw)<br>Glome|[<xy><zw>]<br>Small tesseract|chora}}
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Revision as of 10:28, 9 August 2007
