Augmented dodecahedron

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Augmented dodecahedron
Augmented dodecahedron.png
Type Johnson
J57 - J58 - J59
Faces 5 triangles
11 pentagons
Edges 35
Vertices 21
Vertex configuration 3.5(53)
5(32.52)
1(35)
Symmetry group C5v
Dual polyhedron -
Properties convex
Net
Johnson solid 58 net.png

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.[1]

External links[edit]

  1. ^ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603 .