Small rhombidodecacron | |
---|---|
![]() | |
Type | Star polyhedron |
Face | ![]() |
Elements | F = 60, E = 120 V = 42 (χ = −18) |
Symmetry group | Ih, [5,3], *532 |
Index references | DU39 |
dual polyhedron | Small rhombidodecahedron |
In geometry, the small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It is visually identical to the Small dodecacronic hexecontahedron. It has 60 intersecting antiparallelogram faces.
![](http://upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Small_rhombidodecacron.stl/220px-Small_rhombidodecacron.stl.png)
Proportions
editEach face has two angles of and two angles of . The diagonals of each antiparallelogram intersect at an angle of . The ratio between the lengths of the long edges and the short ones equals , which is the golden ratio. The dihedral angle equals .
References
edit- Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
External links
edit