Medial hexagonal hexecontahedron
In geometry, the medial hexagonal hexecontahedron (or midly dentoid ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the uniform snub icosidodecadodecahedron.
Medial hexagonal hexecontahedron | |
---|---|
Type | Star polyhedron |
Face | |
Elements | F = 60, E = 180 V = 104 (χ = −16) |
Symmetry group | I, [5,3]+, 532 |
Index references | DU46 |
dual polyhedron | Snub icosidodecadodecahedron |
Proportions
The faces of the medial hexagonal hexecontahedron are irregular nonconvex hexagons. Denote the golden ratio by , and let be the real zero of the polynomial . The number can be written as , where is the plastic number. Then each face has four equal angles of , one of and one of . Each face has two long edges, two of medium length and two short ones. If the medium edges have length , the long ones have length and the short ones . The dihedral angle equals .
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References
- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
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