Trigonal orthobicupolic 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 G1H1TK4VFZV38VZG5K66EQ0A4P] [width 180]]>
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| image=<[#embed [hash G1H1TK4VFZV38VZG5K66EQ0A4P] [width 180]]>
| dim=4
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| genus=0
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The '''triangular orthobicupolic 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 a [[triangular prism]], and then filling in the gaps with 3 [[tetrahedron|tetrahedra]] and 3 triangular prisms. For faces, it contains one hexagon, 9 squares and 14 [[triangle]]s.
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The '''trigonal orthobicupolic 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 a [[trigonal prism]], and then filling in the gaps with 3 [[tetrahedron|tetrahedra]] and 3 triangular prisms. For faces, it contains one hexagon, 9 squares and 14 [[triangle]]s.
== Cartesian coordinates ==
== Cartesian coordinates ==
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(-1/sqrt(3), ±1, ±1, sqrt(5/3))<br/>
(-1/sqrt(3), ±1, ±1, sqrt(5/3))<br/>
(2/sqrt(3), 0, ±1, sqrt(5/3))
(2/sqrt(3), 0, ±1, sqrt(5/3))
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== Software models ==
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*[[Polyview]] [http://hddb.teamikaria.com/dl/MP9ZGZMS9HZ8TNXPJMM5AYT6J1.def .def file]
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*[[Stella4D]] [http://hddb.teamikaria.com/dl/TTTHP4RRKZYYPFS0MPJ2JK6EJN.off .off file]

Latest revision as of 22:51, 23 May 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))

Software models

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