Triangular diprism (EntityTopic, 16)
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*The [[realmic]] [[cross-section]]s (''n'') of a triangular diprism are: | *The [[realmic]] [[cross-section]]s (''n'') of a triangular diprism are: | ||
- | <blockquote>[!x,!y] ⇒ cuboid with a various size | + | <blockquote>[!x,!y] ⇒ cuboid with a various size<br> |
[!z,!w] ⇒ triangular prism</blockquote> | [!z,!w] ⇒ triangular prism</blockquote> | ||
Revision as of 16:57, 16 June 2007
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
- 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