Cosmochoron (EntityTopic, 12)

From Hi.gher. Space

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[[Category:Polychora]]
[[Category:Polychora]]

Revision as of 20:19, 17 August 2007

Template:Shape

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
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
Unknown




Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus