Trigonal gyrobicupolic ring (EntityTopic, 17)
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Revision as of 14:15, 8 February 2014
The trigonal gyrobicupolic ring is a CRF polychoron discovered by Keiji. It is a member of the family of bicupolic rings, which contains eight other similar polychora. It is formed by attaching two trigonal cupolae by their hexagonal faces, folding them into the fourth dimension with their trigonal ends connected by an octahedron, and then filling in the gaps with 6 square pyramids.
Cartesian coordinates
Hexagon:
(±sqrt(3), ±1, 0, 0) (0, ±2, 0, 0)
Triangle 1:
(-1/sqrt(3), ±1, sqrt(2/3), sqrt(2)) (2/sqrt(3), 0, sqrt(2/3), sqrt(2))
Triangle 2:
(1/sqrt(3), ±1, -sqrt(2/3), sqrt(2)) (-2/sqrt(3), 0, -sqrt(2/3), sqrt(2))
