Pentagonal hexecontahedron

The pentagonal hexecontahedron, also called the small petaloid ditriacontahedron or sapedit, is one of the 13 Catalan solids. It has 60 floret pentagons as faces, with 12 order-5 and 20+60 order-3 vertices. It is the dual of the uniform snub dodecahedron.

Each face of this polyhedron is an irregular pentagon with 3 short and 2 long edges. The long edges are around 1.74985 times the length of the shorter ones. Each face has one angle (between two long edges) measuring around 67.45351°, while its other four angles measure around 118.13662°.