Square pyramid prism (EntityTopic, 20)
From Hi.gher. Space
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<[#ontology [kind topic] [cats Prism Bicupolic_ring Tapertope]]> | <[#ontology [kind topic] [cats Prism Bicupolic_ring Tapertope]]> | ||
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The '''square pyramid prism''' is a special case of a [[prism]] where the base is a [[square pyramid]]. It is also the ''[[Bicupolic ring|digonal magnabicupolic ring]]''.[http://teamikaria.com/hddb/forum/viewtopic.php?p=20174#p20174] | The '''square pyramid prism''' is a special case of a [[prism]] where the base is a [[square pyramid]]. It is also the ''[[Bicupolic ring|digonal magnabicupolic ring]]''.[http://teamikaria.com/hddb/forum/viewtopic.php?p=20174#p20174] | ||
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== Projections == | == Projections == | ||
+ | <[#embed [hash 7MSXEHF987BEYYGJRWQPE8V02D]]> | ||
- | <[# | + | <[#polytope [id 136]]> |
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+ | ==Software models== | ||
+ | *[[Polyview]] [http://hddb.teamikaria.com/dl/CNZ3G6SS24RSWJ3TDMP2J73P32.def .def file] | ||
+ | *[[Stella4D]] [http://hddb.teamikaria.com/dl/XMCWC0ZBV19TG7S2GQ1MGZCP7E.off .off file] | ||
+ | |||
+ | {{Tetrashapes}} | ||
+ | {{Tapertope Nav|24|25|26|12<sup>1</sup><br>Coninder|1[11]<sup>1</sup><br>Square pyramid prism|11<sup>2</sup><br>Tetrahedral prism|chora}} |
Latest revision as of 20:39, 13 March 2016
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 |