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Pentagonal icositetrahedron
Catalan polyhedron / From Wikipedia, the free encyclopedia
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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]
Pentagonal icositetrahedron | |
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![]() ![]() (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 |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/9/93/TRIBONACCI.jpg/640px-TRIBONACCI.jpg)
![](http://upload.wikimedia.org/wikipedia/commons/thumb/0/04/Pentagonal_icositetrahedron.stl/640px-Pentagonal_icositetrahedron.stl.png)
It has two distinct forms, which are mirror images (or "enantiomorphs") of each other.