Hydrochoron (EntityTopic, 12)
From Hi.gher. Space
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| dim=4 | | dim=4 | ||
| elements=600, 1200, 720, 120 | | elements=600, 1200, 720, 120 | ||
| genus=0 | | genus=0 | ||
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| ssc=<nowiki>{{</nowiki>G3<sup>3</sup>}<sup>20</sup>} | | ssc=<nowiki>{{</nowiki>G3<sup>3</sup>}<sup>20</sup>} | ||
| + | | extra={{STS Uniform polytope | ||
| schlaefli={[[Triangle|3,]][[Tetrahedron|3,]]5} | | schlaefli={[[Triangle|3,]][[Tetrahedron|3,]]5} | ||
| vlayout=([[Triangle|3]][[Tetrahedron|<sup>3</sup>]])<sup>20</sup> | | vlayout=([[Triangle|3]][[Tetrahedron|<sup>3</sup>]])<sup>20</sup> | ||
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| kana=ｻｺ | | kana=ｻｺ | ||
| dual=[[ﾍｶ]] | | dual=[[ﾍｶ]] | ||
| - | }} | + | }}}} |
== Geometry == | == Geometry == | ||
Revision as of 14:49, 14 March 2008
Geometry
Equations
- Variables:
l ⇒ length of the edges of the hexacosichoron
- All points (x, y, z, w) that lie on the surcell of a hexacosichoron will satisfy the following equation:
Unknown
- The hypervolumes of a hexacosichoron are given by:
total edge length = 720l
total surface area = 300sqrt(3)l2
surcell volume = 50sqrt(2)l3
bulk = Unknown
- The realmic cross-sections (n) of a hexacosichoron are:
Unknown
| Notable Tetrashapes | |
| Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
| Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
| Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
| Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
