Triangular diprism (EntityTopic, 16)

From Hi.gher. Space

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The parallel projection of a triangular diprism is the following:
The parallel projection of a triangular diprism is the following:
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{{Tetrashapes}}
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{{Tapertope Nav|20|21|22|21<sup>1</sup><br>Cyltrianglinder|111<sup>1</sup><br>Triangular diprism|2<sup>2</sup><br>Dicone|chora}}
{{Tapertope Nav|20|21|22|21<sup>1</sup><br>Cyltrianglinder|111<sup>1</sup><br>Triangular diprism|2<sup>2</sup><br>Dicone|chora}}

Revision as of 20:47, 11 February 2014

A triangular diprism is a special case of the prism where the base is a triangular prism. It is also a duoprism with parameters of 3 and 4.

Equations

  • Variables:
l ⇒ length of each line in the triangular diprism
total edge length = 24l
total surface area = (15 + 2√3) · l2
surcell volume = (3 + 2√3) · l3
bulk = √32 · l4
[!x,!y] ⇒ cuboid with a various size
[!z,!w] ⇒ triangular prism

Net

The net of a triangular diprism is three cubes with four triangular prisms attached to the middle cube:

No image

Projection

The parallel projection of a triangular diprism is the following:

(image)


Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus


20. 211
Cyltrianglinder
21. 1111
Triangular diprism
22. 22
Dicone
List of tapertopes