Trigonal orthobicupolic ring (EntityTopic, 17)
From Hi.gher. Space
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Revision as of 14:15, 8 February 2014
The trigonal orthobicupolic 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 a trigonal prism, and then filling in the gaps with 3 tetrahedra and 3 triangular prisms. For faces, it contains one hexagon, 9 squares and 14 triangles.
Cartesian coordinates
Hexagon:
(±sqrt(3), ±1, 0, 0)
(0, ±2, 0, 0)
Triangle prism:
(-1/sqrt(3), ±1, ±1, sqrt(5/3))
(2/sqrt(3), 0, ±1, sqrt(5/3))
