Small ditrigonal dodecacronic hexecontahedron

In geometry, the small ditrigonal dodecacronic hexecontahedron (or fat star) is a nonconvex isohedral polyhedron.

It is the dual of the uniform small ditrigonal dodecicosidodecahedron.

It is visually identical to the small dodecicosacron.

Its faces are darts.

A part of each dart lies inside the solid, hence is invisible in solid models.

Faces have two angles of

arccos ⁡ (

arccos ⁡ ( −

− arccos ⁡ ( −

Its dihedral angles equal

The ratio between the lengths of the long and short edges is

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3D model of a small ditrigonal dodecacronic hexecontahedron