Tetrahedral prism (EntityTopic, 21)
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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 |