Triangular diprism (EntityTopic, 16)
From Hi.gher. Space
(Difference between revisions)
m |
m |
||
| Line 15: | Line 15: | ||
| vlayout=([[Triangle|3]]⋅[[Square|4]]<sup>2</sup>)<sup>2</sup>⋅([[Square|4]]<sup>[[Cube|3]]</sup>)<sup>2</sup> | | vlayout=([[Triangle|3]]⋅[[Square|4]]<sup>2</sup>)<sup>2</sup>⋅([[Square|4]]<sup>[[Cube|3]]</sup>)<sup>2</sup> | ||
}}}} | }}}} | ||
| - | |||
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. | 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. | ||
| Line 44: | Line 43: | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
{{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 20:24, 8 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
- The hypervolumes of a triangular diprism are given by:
total edge length = 24l
total surface area = (15 + 2√3) · l2
surcell volume = (3 + 2√3) · l3
bulk = √3∕2 · l4
- 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:
ExPar: [#img] is obsolete, use [#embed] instead
| 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 |
| 20. 211 Cyltrianglinder | 21. 1111 Triangular diprism | 22. 22 Dicone |
| List of tapertopes | ||
