Square antiprism (EntityTopic, 13)
From Hi.gher. Space
(Difference between revisions)
m (fix) |
m (add info) |
||
| Line 12: | Line 12: | ||
| dual=[[Tetragonal trapezohedron]] | | dual=[[Tetragonal trapezohedron]] | ||
}}{{STS Uniform polytope | }}{{STS Uniform polytope | ||
| + | | schlaefli=s{2,4} | ||
| + | | conway=A4 | ||
| + | | vfigure=[[Trapezium]] | ||
| + | | vlayout=[[Triangle|3]]<sup>3</sup>∙[[Square|4]] | ||
}}}} | }}}} | ||
Revision as of 16:41, 22 November 2011
The square antiprism is a special case of an antiprism where the base is a square.
Geometry
- The planar cross-sections of a square antiprism in the [!z] plane are octagons, giving a regular octagon in the middle and degenerating to squares at the ends.
- The planar cross-sections of a square antiprism in the [!x] and [!y] planes are irregular pentagons, degenerating to trapeziums in the middle and at the ends.
| 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 |
