Rhombic enneacontahedron

Rhombic enneacontahedron

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".

References

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* VRML model: George Hart, [http://www.georgehart.com/virtual-polyhedra/vrml/rhombic_enneacontahedron.wrl]
* [http://www.georgehart.com/virtual-polyhedra/conway_notation.html George Hart's Conway Generator] Try dakD


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