Trigonal gyrobicupolic ring (EntityTopic, 17)

From Hi.gher. Space

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<[#ontology [kind topic] [cats 4D Bicupolic_ring Polytope]]>
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<[#ontology [kind topic] [cats Bicupolic_ring]]>
{{STS Shape
{{STS Shape
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| image=<[#img [hash N2BYGAZRMM4R665BCK6WTK7XT0] [width 180]]>
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| image=<[#embed [hash N2BYGAZRMM4R665BCK6WTK7XT0] [width 180]]>
| dim=4
| dim=4
| genus=0
| genus=0
}}
}}
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The '''triangular 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 [[triangular cupola]]e by their [[hexagon]]al faces, folding them into the fourth dimension with their [[triangular]] ends connected by an [[octahedron]], and then filling in the gaps with 6 [[square pyramid]]s.
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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 ==
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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]
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*[[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))

Software models

Retrieved from "http://hi.gher.space/wiki/Trigonal_gyrobicupolic_ring"