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Pentagonal hexecontahedron information


Pentagonal hexecontahedron

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Type Catalan solid
Coxeter diagram
Conway notation gD
Face type V3.3.3.3.5

irregular pentagon
Faces 60
Edges 150
Vertices 92
Vertices by type 12 {5}
20+60 {3}
Symmetry group I, 1/2H3, [5,3]+, (532)
Rotation group I, [5,3]+, (532)
Dihedral angle 153°10′43″
Properties convex, face-transitive chiral

Snub dodecahedron
(dual polyhedron)
Pentagonal hexecontahedron Net
Net

In geometry, a pentagonal hexecontahedron is a Catalan solid, dual of the snub dodecahedron. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. It has 92 vertices that span 60 pentagonal faces. It is the Catalan solid with the most vertices. Among the Catalan and Archimedean solids, it has the second largest number of vertices, after the truncated icosidodecahedron, which has 120 vertices.

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