Deltoidal hexecontahedron
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| Deltoidal hexecontahedron | |
|---|---|
 Click on picture for large version. Click here for spinning version. |
|
| Type | Catalan |
| Face polygon | kite |
| Faces | 60 |
| Edges | 120 |
| Vertices | 62 = 12 + 20 + 30 |
| Face configuration | V3.4.5.4 |
| Symmetry group | icosahedral (Ih) |
| Dihedral angle | 154° 8' |
| Dual polyhedron | rhombicosidodecahedron |
| Properties | convex, face-transitive |
 Net |
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A deltoidal hexecontahedron is a catalan solid which looks a bit like an overinflated dodecahedron. It is sometimes also called the trapezoidal hexecontahedron or strombic hexecontahedron.
It is the only Archimedean dual which does not have a Hamiltonian path among its vertices.
[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, DeltoidalHexecontahedron and Hamiltonian path (Catalan solid) at MathWorld.
- Deltoidal Hexecontahedron (Trapezoidal Hexecontrahedron) -- Interactive Polyhedron Model
