Pentagonal icositetrahedron

The pentagonal icositetrahedron, also called the petaloid disdodecahedron or pedid, is one of the 13 Catalan solids. It has 24 floret pentagons as faces, with 6 order-4 and 8+24 order-3 vertices. It is the dual of the uniform snub cube.

Each face of this polyhedron is an irregular pentagon with 3 short and 2 long edges. The long edges are around 1.41964 times the length of the shorter ones. Each face has one angle (between two long edges) measuring around 80.75170°, while its other four angles measure around 114.81207°.