Triangular prism (EntityTopic, 20)
From Hi.gher. Space
(Difference between revisions)
m (CSG -> SSC) |
(update to STS) |
||
| Line 1: | Line 1: | ||
| - | {{Shape| | + | {{STS Shape |
| - | + | | dim=3 | |
| + | | elements=5, 9, 6 | ||
| + | | genus=0 | ||
| + | | ssc=[G3x] | ||
| + | | extra={{STS Rotope | ||
| + | | attrib=pure | ||
| + | | notation=1<sup>1</sup>1 x<sup>y</sup>z | ||
| + | | index=8 | ||
| + | }}{{STS Uniform polytope | ||
| + | | wythoff=<nowiki>2 3 | 2</nowiki> | ||
| + | | schlaefli=t{2,3} | ||
| + | | vlayout=[[Triangle|3]]⋅[[Square|4]]<sup>2</sup> | ||
| + | | vfigure=Isosceles [[triangle]] | ||
| + | }}}} | ||
== Equations == | == Equations == | ||
Revision as of 08:56, 14 March 2008
Equations
- Variables:
l ⇒ length of edges of triangular prism
- All points (x, y, z) that lie on the surface of a triangular prism will satisfy the following equations:
Unknown
- All points (x, y, z) that lie on the edges of a triangular prism will satisfy the following equations:
Unknown
- 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 |
