Square pyramid prism (EntityTopic, 20)
From Hi.gher. Space
The square pyramid prism is a special case of a prism where the base is a square pyramid. It is also the digonal magnabicupolic ring.[1]
Projections
Incidence matrix
Dual: square pyramid bipyramid
# | TXID | Va | Vb | Ea | Eb | Ec | Ed | 4a | 4b | 3a | 4c | C1a | C2a | C3a | Type | Name |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | Va | = point | ; | |||||||||||||
1 | Vb | = point | ; | |||||||||||||
2 | Ea | 2 | 0 | = digon | ; | |||||||||||
3 | Eb | 0 | 2 | = digon | ; | |||||||||||
4 | Ec | 1 | 1 | = digon | ; | |||||||||||
5 | Ed | 0 | 2 | = digon | ; | |||||||||||
6 | 4a | 2 | 2 | 1 | 1 | 2 | 0 | = square | ; | |||||||
7 | 4b | 0 | 4 | 0 | 2 | 0 | 2 | = square | ; | |||||||
8 | 3a | 1 | 2 | 0 | 0 | 2 | 1 | = triangle | ; | |||||||
9 | 4c | 0 | 4 | 0 | 0 | 0 | 4 | = square | ; | |||||||
10 | C1a | 2 | 4 | 1 | 2 | 4 | 2 | 2 | 1 | 2 | 0 | = triangular prism | ; | |||
11 | C2a | 0 | 8 | 0 | 4 | 0 | 8 | 0 | 4 | 0 | 2 | = cube | ; | |||
12 | C3a | 1 | 4 | 0 | 0 | 4 | 4 | 0 | 0 | 4 | 1 | = base of prism: square pyramid | ; | |||
13 | H4.1a | 2 | 8 | 1 | 4 | 8 | 8 | 4 | 4 | 8 | 2 | 4 | 1 | 2 | = square pyramid 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 |
24. 121 Coninder | 25. 1[11]1 Square pyramid prism | 26. 112 Tetrahedral prism |
List of tapertopes |