Medial disdyakis triacontahedron

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.

The triangles have one angle of

arccos ⁡ ( −

arccos ⁡ (

The dihedral angle equals

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

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3D model of a medial disdyakis triacontahedron