Rhombic Enneacontahedron
The rhombic enneacontahedron is the equilateral zonohedron constructed from the 10 diameters of the dodecahedron. This enneacontahedron somewhat resembles a figure of Sharp (Ball and Coxeter 1987).
It has 90 faces, with 30 of one type and the other 60 of another.
It is implemented in the Wolfram Language as PolyhedronData["RhombicEnneacontahedron"].
The rhombic enneacontahedron with edge length 
has surface area
and volume
 |  |  |
(1)
|
 |  |  |
(2)
|
and inertia tensor
![I=[1/(930)(4493-951sqrt(5))Ma^2 0 0; 0 1/(930)(4493-951sqrt(5))Ma^2 0; 0 0 1/(465)(619+222sqrt(5))Ma^2].](/National_Library/20160521004321im_/http://mathworld.wolfram.com/images/equations/RhombicEnneacontahedron/NumberedEquation1.gif) |
(3)
|
Contact the MathWorld Team
rhombic enneacontahedron
