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|Bowers style acronym||Pedid|
|Coxeter diagram||p4p3p ()|
|Faces||24 floret pentagons|
|Vertex figure||6 squares, 8+24 triangles|
|Measures (edge length 1)|
|Dihedral angle||≈ 136.30923°|
|Number of external pieces||24|
|Level of complexity||10|
|Abstract & topological properties|
|Symmetry||B3+, order 24|
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°.
External links[edit | edit source]
- Wikipedia Contributors. "Pentagonal icositetrahedron".
- McCooey, David. "Pentagonal Icositetrahedron"