Octahedral prism (EntityTopic, 12)
From Hi.gher. Space
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An '''octahedral prism''' is a special case of the [[prism]] where the base is an [[octahedron]]. | An '''octahedral prism''' is a special case of the [[prism]] where the base is an [[octahedron]]. | ||
| + | <[#polytope [id 134]]> | ||
<br clear="all"><br> | <br clear="all"><br> | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
{{Bracketope Nav|15|16|17|([II]II)<br>Dicrind|[<III>I]<br>Octahedral prism|[(III)I]<br>Spherinder|chora}} | {{Bracketope Nav|15|16|17|([II]II)<br>Dicrind|[<III>I]<br>Octahedral prism|[(III)I]<br>Spherinder|chora}} | ||
Latest revision as of 20:28, 13 March 2016
An octahedral prism is a special case of the prism where the base is an octahedron.
Incidence matrix
Dual: cubic 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 | 6 | 0 | 12 | 0 | 8 | = base of prism: octahedron | ; | ||
| 7 | H4.1a | 12 | 6 | 24 | 12 | 16 | 8 | 2 | = octahedral prism | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.
| 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 |
| 15. ([II]II) Dicrind | 16. [<III>I] Octahedral prism | 17. [(III)I] Spherinder |
| List of bracketopes | ||
