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|Bowers style acronym||Sapedit|
|Coxeter diagram||p5p3p ()|
|Faces||60 floret pentagons|
|Vertex figure||12 pentagons, 20+60 triangles|
|Measures (edge length 1)|
|Dihedral angle||≈ 153.17873°|
|Conjugates||Great pentagonal hexecontahedron, great inverted pentagonal hexecontahedron, great pentagrammic hexecontahedron|
|Abstract & topological properties|
|Symmetry||H3+, order 60|
The pentagonal hexecontahedron, also called the small petaloid ditriacontahedron, 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°.
External links[edit | edit source]
- Wikipedia Contributors. "Pentagonal hexecontahedron".
- McCooey, David. "Pentagonal Hexecontahedron"