Disdyakis triacontahedron
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| Disdyakis triacontahedron | |
|---|---|
| Image:Disdyakistriacontahedron.jpg Click on picture for large version. Click here for spinning version. | |
| Type | Catalan |
| Face polygon | scalene triangle |
| Faces | 120 |
| Edges | 180 |
| Vertices | 62 = 12 + 20 + 30 |
| Face configuration | V4.6.10 |
| Symmetry group | icosahedral (Ih) |
| Dual polyhedron | truncated icosidodecahedron |
| Properties | convex, face-uniform |
A disdyakis triacontahedron, or hexakis icosahedron is the Catalan solid whose Archimedean dual is the truncated icosidodecahedron. As such it is face uniform but with irregular face polygons. It looks a bit like an inflated rhombic triacontahedron—if one replaces each face of the rhombic triacontahedron with a single vertex and four triangles in a regular fashion one ends up with a disdyakis triacontahedron. Side lengths for r=12: s1=4.35411996 s2=6.55839670 s3=7.69022184 (Calculated by Garrith McLean)
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See also
Template:Polyhedron-stubes:Triacontaedro disdiakis fr:Hexaki icosaèdre pt:Triacontaedro disdiakis