Tetrahedral prism (EntityTopic, 21)
From Hi.gher. Space
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}}{{STS Polytope | }}{{STS Polytope | ||
| dual=[[Tetrahedral bipyramid]] | | dual=[[Tetrahedral bipyramid]] | ||
+ | | flayout={{FLD|dim=4|left=erev2|a3|line|a3|line2|a2tend2|end|e3}} | ||
| bowers=Tepe | | bowers=Tepe | ||
}}{{STS Uniform polytope | }}{{STS Uniform polytope | ||
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== Projections == | == Projections == | ||
- | |||
<[#embed [hash DBV3TEA1JZA5TJRGC1AHJBNWF2]]> | <[#embed [hash DBV3TEA1JZA5TJRGC1AHJBNWF2]]> | ||
+ | |||
+ | <[#polytope [id 132]]> | ||
+ | |||
+ | == Software models == | ||
+ | *[[Polyview]] [http://hddb.teamikaria.com/dl/ED8QPT5FPREVRS12QPT8JEDMVM.def .def file] | ||
+ | *[[Stella4D]] [http://hddb.teamikaria.com/dl/GZ0E6ETAVN7SG02GPPB6JCBM3M.off .off file] | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
{{Tapertope Nav|25|26|27|1[11]<sup>1</sup><br>Square pyramid prism|11<sup>2</sup><br>Tetrahedral prism|[11<sup>1</sup>]<sup>1</sup><br>Triangular prismic pyramid|chora}} | {{Tapertope Nav|25|26|27|1[11]<sup>1</sup><br>Square pyramid prism|11<sup>2</sup><br>Tetrahedral prism|[11<sup>1</sup>]<sup>1</sup><br>Triangular prismic pyramid|chora}} |
Latest revision as of 17:49, 19 September 2017
The tetrahedral prism is a special case of a prism where the base is a tetrahedron. It is also the digonal orthobicupolic ring.[1] It is bounded by two tetrahedra and four triangular prisms.
Projections
Incidence matrix
Dual: tetrahedral bipyramid
# | TXID | Va | Ea | Eb | 4a | 3a | C1a | C2a | Type | Name |
---|---|---|---|---|---|---|---|---|---|---|
0 | Va | = point | ; | |||||||
1 | Ea | 2 | = digon | ; | ||||||
2 | Eb | 2 | = digon | ; | ||||||
3 | 4a | 4 | 2 | 2 | = square | ; | ||||
4 | 3a | 3 | 0 | 3 | = triangle | ; | ||||
5 | C1a | 6 | 3 | 6 | 3 | 2 | = triangular prism | ; | ||
6 | C2a | 4 | 0 | 6 | 0 | 4 | = base of prism: tetrahedron | ; | ||
7 | H4.1a | 8 | 4 | 12 | 6 | 8 | 4 | 2 | = tetrahedral prism | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.
Software models
Notable Tetrashapes | |
Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
25. 1[11]1 Square pyramid prism | 26. 112 Tetrahedral prism | 27. [111]1 Triangular prismic pyramid |
List of tapertopes |