Disdyakis triacontahedron
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| Disdyakis triacontahedron | |
|---|---|
 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) |
| Dihedral angle | 164° 53' 17" |
| Dual polyhedron | truncated icosidodecahedron |
| Properties | convex, face-transitive |
A disdyakis triacontahedron, or hexakis icosahedron is the Catalan solid and dual to the Archimedean to 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.
[edit] See also
[edit] References
- Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. (Section 3-9)
[edit] External links
- Eric W. Weisstein, Disdyakis triacontahedron at MathWorld.
