Hydrochoron (EntityTopic, 12)

From Hi.gher. Space

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| genus=0
| genus=0
| 20=SSC
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| ssc=<nowiki>{{</nowiki>G3<sup>3}<sup>20</sup>}
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| ssc=<nowiki>{{</nowiki>G3<sup>3</sup>}<sup>20</sup>}
| 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>

Revision as of 22:37, 18 November 2007

Template:Shape

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
total edge length = 720l
total surface area = 300sqrt(3)l2
surcell volume = 50sqrt(2)l3
bulk = Unknown
Unknown




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