Trigonal trapezohedron
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| Trigonal trapezohedron | |
|---|---|
Click on picture for large version. |
|
| Type | trapezohedra |
| Coxeter diagram | |
| Faces | 6 rhombi |
| Edges | 12 |
| Vertices | 8 |
| Face configuration | 3,3,3,3 |
| Symmetry group | D3d, [2+,6], (2*3), order 12 |
| Rotation group | D3, [2,6]+, (223), order 6 |
| Dual polyhedron | trigonal antiprism |
| Properties | convex, face-transitive |
A cube is a special case with square faces
In geometry, the trigonal trapezohedron or deltohedron is the first in an infinite series of face-uniform polyhedra which are dual to the antiprisms. It has six faces which are congruent rhombi.
Trigonal trapezohedra are a subset of the rhombohedra. The cube is a special case with square faces.
See also
| 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ... | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| As spherical polyhedra | |||||||||||