Triangular diprism (EntityTopic, 16)
From Hi.gher. Space
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{{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}} | ||
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Revision as of 10:07, 22 September 2007
Geometry
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
- The hypervolumes of a triangular diprism are given by:
total edge length = 24l
total surface area = a2(15+2√3)
surcell volume = 2a2√3 + 3
bulk = a22-1√3
- The realmic cross-sections (n) of a triangular diprism are:
[!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: | 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 |