| 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, 1/2BC3, [4,3]+, 432 |
| Dual polyhedron | snub cube |
| Properties | convex, face-transitive, chiral |
 Net | |
In geometry, a pentagonal icositetrahedron or pentagonal icosikaitetrahedron[1] is a Catalan solid which is the dual of the snub cube. In crystallography it is also called a gyroid.[2][3]
It has two distinct forms, which are mirror images (or "enantiomorphs") of each other.
- ^ Conway, Symmetries of things, p.284
- ^ "Promorphology of Crystals I".
- ^ "Crystal Form, Zones, & Habit". Archived from the original on 2003-08-23.