Hexagonal trapezohedron
From Infogalactic: the planetary knowledge core
| Hexagonal trapezohedron | |
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| Type | trapezohedra |
| Coxeter diagram |      |
| Faces | 12 kites |
| Edges | 24 |
| Vertices | 14 |
| Face configuration | V6.3.3.3 |
| Symmetry group | D6d, [2+,12], (2*6), order 24 |
| Rotation group | D6, [2,12]+, (66), order 12 |
| Dual polyhedron | hexagonal antiprism |
| Properties | convex, face-transitive |
The hexagonal trapezohedron or deltohedron is the fourth in an infinite series of face-uniform polyhedra which are dual polyhedron to the antiprisms. It has twelve faces which are congruent kites.
Related polyhedra
| Uniform hexagonal dihedral spherical polyhedra | ||||||||||||||
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| Symmetry: [6,2], (*622) | [6,2]+, (622) | [6,2+], (2*3) | ||||||||||||
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| {6,2} | t{6,2} | r{6,2} | t{2,6} | {2,6} | rr{6,2} | tr{6,2} | sr{6,2} | s{2,6} | ||||||
| Duals to uniforms | ||||||||||||||
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| V62 | V122 | V62 | V4.4.6 | V26 | V4.4.6 | V4.4.12 | V3.3.3.6 | V3.3.3.3 | ||||||
| Family of trapezohedra V.n.3.3.3 | ||||||||||
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| Polyhedron |  |
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| Tiling |  |
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| Config. | 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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