# 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 == | ||

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<[#embed [hash DBV3TEA1JZA5TJRGC1AHJBNWF2]]> | <[#embed [hash DBV3TEA1JZA5TJRGC1AHJBNWF2]]> | ||

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+ | <[#polytope [id 132]]> | ||

== Software models == | == Software models == | ||

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*[[Polyview]] [http://hddb.teamikaria.com/dl/ED8QPT5FPREVRS12QPT8JEDMVM.def .def file] | *[[Polyview]] [http://hddb.teamikaria.com/dl/ED8QPT5FPREVRS12QPT8JEDMVM.def .def file] | ||

*[[Stella4D]] [http://hddb.teamikaria.com/dl/GZ0E6ETAVN7SG02GPPB6JCBM3M.off .off file] | *[[Stella4D]] [http://hddb.teamikaria.com/dl/GZ0E6ETAVN7SG02GPPB6JCBM3M.off .off file] |

## 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. 11
^{2}Tetrahedral prism | 27. [11^{1}]^{1}Triangular prismic pyramid |

List of tapertopes |