Triangular diprism (EntityTopic, 16)
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| - | {{Shape|Triangular diprism|''No image''|4|7, 19, 24, 12|0|N/A|N/A|[[Line (object)|E]][[Triangle|T]][[Triangular prism|E]]E|1<sup>1</sup>11 x<sup>y</sup>zw|N/A|N/A|N/A}} | + | {{Shape|Triangular diprism|''No image''|4|7, 19, 24, 12|0|N/A|N/A|[[Line (object)|E]][[Triangle|T]][[Triangular prism|E]]E|1<sup>1</sup>11 x<sup>y</sup>zw|N/A|N/A|N/A|23}} |
== Geometry == | == Geometry == | ||
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{{Polychora}} | {{Polychora}} | ||
| - | {{ | + | {{Rotope Nav|22|23|24|((III)I)<br>Toraspherinder|I'II<br>Triangular diprism|I'I'<br>Triangular prismidal pyramid}} |
Revision as of 12:42, 17 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
