Trigonal gyrobicupolic ring (EntityTopic, 17)
From Hi.gher. Space
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| - | The ''' | + | The '''trigonal gyrobicupolic ring''' is a [[CRF polychoron]] discovered by [[Keiji]]. It is a member of the family of [[bicupolic ring]]s, which contains eight other similar polychora. It is formed by attaching two [[trigonal cupola]]e by their [[hexagon]]al faces, folding them into the fourth dimension with their [[trigon]]al ends connected by an [[octahedron]], and then filling in the gaps with 6 [[square pyramid]]s. |
== Cartesian coordinates == | == Cartesian coordinates == | ||
Revision as of 18:42, 2 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))
