# Tetrahedral prism (EntityTopic, 21)

### From Hi.gher. Space

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 |