Dodecagonal trapezohedron
The dodecagonal trapezohedron or deltohedron is one in an infinite series of face-uniform (isohedral) polyhedra which are dual polyhedron to the antiprisms. It has 24 faces which are congruent kites.
| Dodecagonal trapezohedron | |
|---|---|
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| Type | trapezohedron |
| Conway | dA12 |
| Coxeter diagram |      |
| Faces | 24 kites |
| Edges | 48 |
| Vertices | 26 |
| Face configuration | V12.3.3.3 |
| Symmetry group | D12d, [2+,24], (2*12), order 48 |
| Rotation group | D12, [2,12]+, (2.2.12), order 24 |
| Dual polyhedron | Dodecagonal antiprism |
| Properties | convex, face-transitive |
See also
| Family of n-gonal trapezohedra | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Polyhedron image |  |
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... | Apeirogonal trapezohedron |
| Spherical tiling image |  |
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Plane tiling image |  |
| Face configuration Vn.3.3.3 | V2.3.3.3 | V3.3.3.3 | V4.3.3.3 | V5.3.3.3 | V6.3.3.3 | V7.3.3.3 | V8.3.3.3 | V10.3.3.3 | V12.3.3.3 | ... | V∞.3.3.3 |
External links
- Weisstein, Eric W. "Trapezohedron". MathWorld.
- Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
- Conway Notation for Polyhedra Try: "A12"
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