Square antiprism (EntityTopic, 13)
From Hi.gher. Space
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== Geometry == | == Geometry == | ||
| - | * The [[planar]] [[cross-section]]s of a square antiprism in the [!z] plane are ir[[regular]] [[ | + | * The [[planar]] [[cross-section]]s of a square antiprism in the [!z] plane are ir[[regular]] [[octagon]]s. |
* The planar cross-sections of a square antiprism in the [!x] and [!y] planes are squares. | * The planar cross-sections of a square antiprism in the [!x] and [!y] planes are squares. | ||
<br clear="all"> | <br clear="all"> | ||
{{Polyhedra}} | {{Polyhedra}} | ||
Revision as of 12:05, 16 June 2007
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 irregular octagons.
- The planar cross-sections of a square antiprism in the [!x] and [!y] planes are squares.
| 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 |
