Pentagonal icositetrahedron
In geometry, a pentagonal icositetrahedron or pentagonal icosikaitetrahedron is a Catalan solid which is the dual of the snub cube. In crystallography it is also called a gyroid.
| Pentagonal icositetrahedron | |
|---|---|
(Click ccw or cw for rotating models.) | |
| Type | Catalan |
| Conway notation | gC |
| Coxeter diagram | |
| Face polygon | irregular pentagon |
| Faces | 24 |
| Edges | 60 |
| Vertices | 38 = 6 + 8 + 24 |
| Face configuration | V3.3.3.3.4 |
| Dihedral angle | 136° 18' 33' |
| Symmetry group | O, ½BC3, [4,3]+, 432 |
| Dual polyhedron | snub cube |
| Properties | convex, face-transitive, chiral |
Net | |
It has two distinct forms, which are mirror images (or "enantiomorphs") of each other.
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