Pentagonal magnabicupolic ring (EntityTopic, 17)

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Revision as of 13:59, 26 August 2012 by Hayate (Talk | contribs)


The pentagonal magnabicupolic ring is a CRF polychoron discovered by Quickfur. It is a member of the family of bicupolic rings, which contains eight other similar polychora. It is formed by attaching two pentagonal cupolae by their pentagonal faces, folding them into the fourth dimension with their decagonal ends connected by a decagonal prism, and then filling in the gaps with 5 triangular prisms and 5 square pyramids. For faces, it contains two decagons, one pentagon, 20 squares and 20 triangles.

Cartesian coordinates

The coordinates of the pentagonal magnabicupolic ring are as follows:

Unknown

Equations

  • Variables:
l ⇒ edge length
  • The hypervolumes of a pentagonal magnabicupolic ring are given by:
total edge length = 45l
total surface area = Unknown
surcell volume = Unknown
bulk = Unknown
[!x,!y] ⇒ Unknown
[!z] ⇒ Unknown
[!w] ⇒ Unknown


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