Medial disdyakis triacontahedron explained

In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform truncated dodecadodecahedron. It has 120 triangular faces.

Proportions

The triangles have one angle of

\arccos(-	1
	10

) ≈ 95.73917047727^\circ

, one of

\arccos(	3	+
	8

	11
	40

\sqrt{5}) ≈ 8.14257117989^\circ

and one of

\arccos(-	3	+
	8

	11
	40

\sqrt{5}) ≈ 76.11825834285^\circ

. The dihedral angle equals

\arccos(-	9
	11

) ≈ 144.90319877242^\circ

. Part of each triangle lies within the solid, hence is invisible in solid models