Tetrahedral prism (EntityTopic, 21)

From Hi.gher. Space

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<[#ontology [kind topic] [cats Uniform Prism Tapertope Bicupolic_ring]]>
{{STS Shape
{{STS Shape
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| image=<[#embed [hash 2Y6EC6FJBFXCPWWPHGZ9G626QE] [width 120]]>
| name=Tetrahedral prism
| name=Tetrahedral prism
| dim=4
| dim=4
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| genus=1
| genus=1
| ssc=[xG3P]
| ssc=[xG3P]
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| extra={{STS Rotope
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| ssc2=+Kt1
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| attrib=pure
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| extra={{STS Tapertope
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| notation=1<sup>2</sup>1 x<sup>yz</sup>w
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| order=2, 2
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| notation=11<sup>2</sup>
| index=26
| index=26
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}}{{STS Polytope
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| dual=[[Tetrahedral bipyramid]]
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| flayout={{FLD|dim=4|left=erev2|a3|line|a3|line2|a2tend2|end|e3}}
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| bowers=Tepe
}}{{STS Uniform polytope
}}{{STS Uniform polytope
| vlayout=([[Triangle|3]][[Tetrahedron|<sup>3</sup>]])⋅([[Triangle|3]]⋅[[Square|4]]<sup>2</sup>)<sup>3</sup>
| vlayout=([[Triangle|3]][[Tetrahedron|<sup>3</sup>]])⋅([[Triangle|3]]⋅[[Square|4]]<sup>2</sup>)<sup>3</sup>
| vfigure=[[Tetrahedron]]
| vfigure=[[Tetrahedron]]
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| bowers=Tepe
 
}}}}
}}}}
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The '''tetrahedral prism''' is a special case of a [[prism]] where the base is a [[tetrahedron]]. It is also the ''[[Bicupolic ring|digonal orthobicupolic ring]]''.[http://teamikaria.com/hddb/forum/viewtopic.php?p=20174#p20174] It is bounded by two tetrahedra and four triangular prisms.
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The '''tetrahedral prism''' is a special case of a [[prism]] where the base is a [[tetrahedron]].
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== Projections ==
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<[#embed [hash DBV3TEA1JZA5TJRGC1AHJBNWF2]]>
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{{Tetrashapes}}
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<[#polytope [id 132]]>
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{{Rotope Nav|25|26|27|(I'II)<br>Triangular prismidal torus|I<nowiki>''</nowiki>I<br>Tetrahedral prism|I<nowiki>'''</nowiki><br>Pentachoron|chora}}
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[[Category:Uniform prismachora]]
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== Software models ==
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*[[Polyview]] [http://hddb.teamikaria.com/dl/ED8QPT5FPREVRS12QPT8JEDMVM.def .def file]
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*[[Stella4D]] [http://hddb.teamikaria.com/dl/GZ0E6ETAVN7SG02GPPB6JCBM3M.off .off file]
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{{Tetrashapes}}
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{{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

(image)

Incidence matrix

Dual: tetrahedral bipyramid

#TXIDVaEaEb4a3aC1aC2aTypeName
0 Va = point ;
1 Ea 2 = digon ;
2 Eb 2 = digon ;
3 4a 422 = square ;
4 3a 303 = triangle ;
5 C1a 63632 = triangular prism ;
6 C2a 40604 = base of prism: tetrahedron ;
7 H4.1a 84126842 = 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: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus


25. 1[11]1
Square pyramid prism
26. 112
Tetrahedral prism
27. [111]1
Triangular prismic pyramid
List of tapertopes