Duotrianglinder (EntityTopic, 16)
From Hi.gher. Space
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<[#ontology [kind topic] [cats Duoprism Tapertope]]> | <[#ontology [kind topic] [cats Duoprism Tapertope]]> | ||
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{{STS Shape | {{STS Shape | ||
| dim=4 | | dim=4 | ||
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| notation=1<sup>1</sup>1<sup>1</sup> | | notation=1<sup>1</sup>1<sup>1</sup> | ||
| index=29 | | index=29 | ||
| + | }}{{STS Polytope | ||
| + | | dual=[[Duotrianglone]] | ||
| + | }}{{STS Uniform polytope | ||
}}}} | }}}} | ||
| + | The '''duotrianglinder''' is the 3,3-[[duoprism]]: the [[Cartesian product]] of two [[triangle]]s. It is also a trivial [[powertope]], the [[square]] of the triangle. | ||
| - | + | <[#polytope [id 58]]> | |
{{Tetrashapes}} | {{Tetrashapes}} | ||
{{Tapertope Nav|28|29|30|1<sup>3</sup><br>Pentachoron|1<sup>1</sup>1<sup>1</sup><br>Duotrianglinder|5<br>Pentasphere|chora}} | {{Tapertope Nav|28|29|30|1<sup>3</sup><br>Pentachoron|1<sup>1</sup>1<sup>1</sup><br>Duotrianglinder|5<br>Pentasphere|chora}} | ||
Latest revision as of 22:34, 16 February 2014
The duotrianglinder is the 3,3-duoprism: the Cartesian product of two triangles. It is also a trivial powertope, the square of the triangle.
Incidence matrix
Dual: duotrianglone
| # | TXID | Va | Ea | 3a | 4a | C1a | Type | Name |
|---|---|---|---|---|---|---|---|---|
| 0 | Va | = point | ; | |||||
| 1 | Ea | 2 | = digon | ; | ||||
| 2 | 3a | 3 | 3 | = triangle | ; | |||
| 3 | 4a | 4 | 4 | = square | ; | |||
| 4 | C1a | 6 | 9 | 2 | 3 | = triangular prism | ; | |
| 5 | H4.1a | 9 | 18 | 6 | 9 | 6 | = duotrianglinder | ; |
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 |
| 28. 13 Pentachoron | 29. 1111 Duotrianglinder | 30. 5 Pentasphere |
| List of tapertopes | ||
