Triangular triprism (EntityTopic, 13)

From Hi.gher. Space

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| name=Triangular triprism
| name=Triangular triprism
| dim=5
| dim=5
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| elements=9, 33, 52, 60, 24
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| elements=9, 33, 62, 60, 24
| genus=0
| genus=0
| ssc=[G3G4x]
| ssc=[G3G4x]
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== Net ==
== Net ==
The net of a triangular diprism is three [[tesseract]]s with six triangular diprisms attached to the middle tesseract.
The net of a triangular diprism is three [[tesseract]]s with six triangular diprisms attached to the middle tesseract.
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<[#polytope [id 138]]>
{{Pentashapes}}
{{Pentashapes}}
{{Tapertope Nav|43|44|45|211<sup>1</sup><br>Cyltriandyinder|1111<sup>1</sup><br>Triangular triprism|3<sup>2</sup><br>Disphone|tera}}
{{Tapertope Nav|43|44|45|211<sup>1</sup><br>Cyltriandyinder|1111<sup>1</sup><br>Triangular triprism|3<sup>2</sup><br>Disphone|tera}}

Latest revision as of 00:22, 14 March 2016

A triangular triprism is a special case of the prism where the base is a triangular diprism. It is also the Cartesian product of a triangle and a cube.

Net

The net of a triangular diprism is three tesseracts with six triangular diprisms attached to the middle tesseract.

Incidence matrix

Dual: (dual of triangular triprism)

#TXIDVaEaEb3a4a4bC1aC2aC2bH4.1aH4.2aTypeName
0 Va = point ;
1 Ea 2 = digon ; blue
2 Eb 2 = digon ; black
3 3a 330 = triangle ; joins 3 triangular prisms
4 4a 404 = square ; joins base-cubes with 2 sweep-cubes
5 4b 422 = square ; joins 1 triangular prism with 2 sweep-cubes
6 C1a 663203 = triangular prism ;
7 C2a 8012060 = cube ; base
8 C2b 848024 = cube ; sweep
9 H4.1a 1682401212026 = geochoron ;
10 H4.2a 1212124312403 = base of prism: triangular diprism ;
11 H5.1a 242436818361231836 = triangular triprism ;

Usage as facets

This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.


Notable Pentashapes
Flat: pyroteronaeroterongeoteron
Curved: tritoruspentasphereglonecylspherindertesserinder


43. 2111
Cyltriandyinder
44. 11111
Triangular triprism
45. 32
Disphone
List of tapertopes