Pentagonal trapezohedron
In geometry, a pentagonal trapezohedron or deltohedron is the third in an infinite series of face-transitive polyhedra which are dual polyhedra to the antiprisms. It has ten faces (i.e., it is a decahedron) which are congruent kites.
| Pentagonal trapezohedron | |
|---|---|
| Type | trapezohedra |
| Conway | dA5 |
| Coxeter diagram | |
| Faces | 10 kites |
| Edges | 20 |
| Vertices | 12 |
| Face configuration | V5.3.3.3 |
| Symmetry group | D5d, [2+,10], (2*5), order 20 |
| Rotation group | D5, [2,5]+, (225), order 10 |
| Dual polyhedron | pentagonal antiprism |
| Properties | convex, face-transitive |
It can be decomposed into two pentagonal pyramids and a pentagonal antiprism in the middle. It can also be decomposed into two pentagonal pyramids and a dodecahedron in the middle.
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