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 |
 Net |
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A disdyakis triacontahedron, or hexakis icosahedron is a Catalan solid and the dual to the Archimedean 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 (Catalan solid) at MathWorld.
- Disdyakis triacontahedron (Hexakis Icosahedron) -- Interactive Polyhedron Model
