In geometry, the medial pentagonal hexecontahedron is a nonconvex isohedral polyhedron.
It is the dual of the snub dodecadodecahedron.
It has 60 intersecting irregular pentagonal faces.
Denote the golden ratio by φ, and let
be the smallest (most negative) real zero of the polynomial
Then each face has three equal angles of
arccos ( ξ ) ≈ 114.144
ξ + φ ) ≈ 56.827
φ
φ
Each face has one medium length edge, two short and two long ones.
If the medium length is 2, then the short edges have length
φ
and the long edges have length
The dihedral angle equals
The other real zero of the polynomial P plays a similar role for the medial inverted pentagonal hexecontahedron.
This polyhedron-related article is a stub.
You can help Wikipedia by expanding it.