Triangular prism (EntityTopic, 20)
From Hi.gher. Space
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| wythoff=<nowiki>2 3 | 2</nowiki> | | wythoff=<nowiki>2 3 | 2</nowiki> | ||
| schlaefli=t{2,3} | | schlaefli=t{2,3} | ||
| + | | conway=P3 | ||
| vlayout=[[Triangle|3]]⋅[[Square|4]]<sup>2</sup> | | vlayout=[[Triangle|3]]⋅[[Square|4]]<sup>2</sup> | ||
| vfigure=Isosceles [[triangle]] | | vfigure=Isosceles [[triangle]] | ||
| + | | dual=[[Triangular bipyramid]] | ||
}}}} | }}}} | ||
Revision as of 10:36, 7 November 2008
Equations
- Variables:
l ⇒ length of edges of triangular prism
- The hypervolumes of a triangular prism are given by:
total edge length = 9l
surface area = l2(3 + 2-1√3)
volume = l34-1√3
- The planar cross-sections (n) of a triangular prism are:
Unknown
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
