Rhombic enneacontahedron
From Wikipedia, the free encyclopedia
| Rhombic enneacontahedron | |
|---|---|
 |
|
| Type | zonohedron |
| Face polygon | rhombus |
| Faces | 60 wide-rhombi 30 narrow-rhombi |
| Edges | 180 |
| Vertices | 92 |
| Faces per vertex | 3, 5, and 6 |
| Symmetry group | Ih |
| Properties | convex, zonohedron |
A rhombic enneacontahedron (plural: rhombic enneacontahedra) is a polyhedron composed of 90 rhombus-shaped faces; with three, five, or six rhombi meeting at each vertex. It has 60 broad rhombi and 30 slim. The rhombic enneacontahedron is a zonohedron with a superficial resemblance to the rhombic triacontahedron.
The sixty broad rhombic faces in the rhombic enneacontahedron are identical to those in the rhombic dodecahedron, with diagonals in a ratio of 1 to the square root of 2. The face angles of these rhombi are approximately 70.53° and 109.47°. The thirty slim rhombic faces have face angles of 41.81° and 138.19°; the diagonals are in ratio of 1 to φ2.
The rhombic enneacontahedron is called a rhombic enenicontahedron in Domebook 2.
[edit] References
- Eric W. Weisstein. "Rhombic Enneacontahedron." From MathWorld--A Wolfram Web Resource.
- VRML model: George Hart, [1]
- George Hart's Conway Generator Try dakD
