# 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. 12^{1}Coninder | 25. 1[11]
^{1}Square pyramid prism | 26. 11^{2}Tetrahedral prism |

List of tapertopes |