Decagonal trapezohedron
| Decagonal trapezohedron | |
|---|---|
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| Type | trapezohedra |
| Conway | dA10 |
| Coxeter diagram |     
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| Faces | 20 kites |
| Edges | 40 |
| Vertices | 22 |
| Face configuration | V10.3.3.3 |
| Symmetry group | D10d, [2+,20], (2*10), order 40 |
| Rotation group | D10, [2,10]+, (2.2.10), order 20 |
| Dual polyhedron | Decagonal antiprism |
| Properties | convex, face-transitive |
The decagonal trapezohedron (or decagonal deltohedron) is the eighth in an infinite series of face-uniform polyhedra which are dual polyhedra to the antiprisms. It has twenty faces which are congruent kites.[citation needed]
See also
| Trapezohedron name | Digonal trapezohedron (Tetrahedron) |
Trigonal trapezohedron | Tetragonal trapezohedron | Pentagonal trapezohedron | Hexagonal trapezohedron | Heptagonal trapezohedron | Octagonal trapezohedron | Decagonal trapezohedron | Dodecagonal trapezohedron | ... | Apeirogonal trapezohedron |
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Plane tiling image | 
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| Face configuration | 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 The Encyclopedia of Polyhedra
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