Trapezohedron
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n-gonal trapezohedron | |
---|---|
![]() | |
Rank | 3 |
Type | dual-uniform |
Space | Spherical |
Elements | |
Faces | 2n kites |
Edges | 4n |
Vertices | 2n+2 |
Petrie polygons | n irregular skew hexagons, 1 skew 2n-gon |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | n-gonal antiprism |
Abstract & topological properties | |
Euler characteristic | 2 |
Surface | Sphere |
Orientable | Yes |
Genus | 0 |
Properties | |
Convex | Yes |
Nature | Tame |
A trapezohedron is a rank 3 antitegum. A n-gonal trapezohedron is a trapezohedron with 2n faces.
Examples[edit | edit source]
- If you consider the tetrahedron to be the digonal antiprism, then since it is self dual it is also a digonal trapezohedron.
- The trigonal trapezohedra are the rhombohedra, they include the cube and two golden rhombohedra
External links[edit | edit source]
- Wikipedia Contributors. "Trapezohedron".
- Weisstein, Eric W. "Trapezohedron" at MathWorld.