Triangular diprism (EntityTopic, 16)

From Hi.gher. Space

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<blockquote>http://fusion-global.org/share/triangular_diprism.png</blockquote>
<blockquote>http://fusion-global.org/share/triangular_diprism.png</blockquote>
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{{Tetrashapes}}
{{Rotope Nav|22|23|24|((III)I)<br>Toraspherinder|I'II<br>Triangular diprism|I'I'<br>Triangular prismidal pyramid|chora}}
{{Rotope Nav|22|23|24|((III)I)<br>Toraspherinder|I'II<br>Triangular diprism|I'I'<br>Triangular prismidal pyramid|chora}}

Revision as of 20:22, 17 August 2007

Template:Shape

Geometry

A triangular diprism is a special case of the tetraprism 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 = a2(15+2√3)
surcell volume = 2a2√3 + 3
bulk = a22-1√3
[!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:

http://fusion-global.org/share/triangular_diprism.png


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

Template:Rotope Nav