Rhombic Enneacontahedron

A rhombic enneacontahedron (plural: rhombic enneacontahedra) is a polyhedron composed of 90 rhombic 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 Lloyd Kahn's Domebook 2.

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