Cosmochoron (EntityTopic, 12)
From Hi.gher. Space
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| - | {{Shape|Hecatonicosachoron|''No image''|4|120, 720, 1200, 600|0|{[[Pentagon|5,]][[Dodecahedron|3,]]3}|N/A|''Unknown''|N/A|[[Tetrahedron]]|Hi|[[Hexacosichoron]]|N/A}} | + | {{Shape|Hecatonicosachoron|''No image''|4|120, 720, 1200, 600|0|{[[Pentagon|5,]][[Dodecahedron|3,]]3}|N/A|''Unknown''|N/A|[[Tetrahedron]]|Hi|[[Hexacosichoron]]|N/A|N/A|N/A|none|''Unknown''|''Unknown''|([[Pentagon|5]][[Dodecahedron|<sup>3</sup>]])<sup>3</sup>}} |
== Geometry == | == Geometry == | ||
Revision as of 18:48, 16 September 2007
Geometry
Equations
- Variables:
l ⇒ length of the edges of the hecatonicosachoron
- All points (x, y, z, w) that lie on the surcell of a hecatonicosachoron will satisfy the following equation:
Unknown
- The hypervolumes of a hecatonicosachoron are given by:
total edge length = 1200l
total surface area = 180l2sqrt(25+10sqrt(5))
surcell volume = 300l3(tan(3π10-1))2(tan(sin-1(2sin(π5-1))-1))
bulk = Unknown
- The realmic cross-sections (n) of a hecatonicosachoron 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 |
