Trigonal gyrobicupolic ring (EntityTopic, 17)
From Hi.gher. Space
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m (triangular -> trigonal) |
(add software models) |
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| - | <[#ontology [kind topic] [cats | + | <[#ontology [kind topic] [cats Bicupolic_ring]]> |
{{STS Shape | {{STS Shape | ||
| - | | image=<[# | + | | image=<[#embed [hash N2BYGAZRMM4R665BCK6WTK7XT0] [width 180]]> |
| dim=4 | | dim=4 | ||
| genus=0 | | genus=0 | ||
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(1/sqrt(3), ±1, -sqrt(2/3), sqrt(2)) | (1/sqrt(3), ±1, -sqrt(2/3), sqrt(2)) | ||
(-2/sqrt(3), 0, -sqrt(2/3), sqrt(2)) | (-2/sqrt(3), 0, -sqrt(2/3), sqrt(2)) | ||
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| + | ==Software models== | ||
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| + | *[[Polyview]] [http://hddb.teamikaria.com/dl/Y53J6WB1V8PXGRHFA9A627YP2H.def .def file] | ||
| + | *[[Stella4D]] [http://hddb.teamikaria.com/dl/TPB025DH9HQZYMNZPJ9Z86JZK1.off .off file] | ||
Latest revision as of 22:59, 23 May 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))
