Trigonal orthobicupolic ring (EntityTopic, 17)
From Hi.gher. Space
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<[#ontology [kind topic] [cats Bicupolic_ring]]> | <[#ontology [kind topic] [cats Bicupolic_ring]]> | ||
{{STS Shape | {{STS Shape | ||
| - | | image=<[# | + | | image=<[#embed [hash G1H1TK4VFZV38VZG5K66EQ0A4P] [width 180]]> |
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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] | ||
| + | *[[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))
