Edges 35 Vertex configuration 3.5(5)5(3.5)1(3) | Vertices 21 Symmetry group C5v | |
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Type JohnsonJ57 - J58 - J59 Faces 5 triangles11 pentagons |
In geometry, the augmented dodecahedron is one of the Johnson solids (J58), consisting of a dodecahedron with a pentagonal pyramid (J2) attached to one of the faces. When two or three such pyramids are attached, the result may be a parabiaugmented dodecahedron, a metabiaugmented dodecahedron or a triaugmented dodecahedron.
A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.
References
Augmented dodecahedron Wikipedia(Text) CC BY-SA