Triaugmented dodecahedron

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Triaugmented dodecahedron
Triaugmented dodecahedron.png
Type Johnson
J60 - J61 - J62
Faces 3+2×6 triangles
3×3 pentagons
Edges 45
Vertices 23
Vertex configuration 2+3(53)
Symmetry group C3v
Dual polyhedron -
Properties convex
Johnson solid 61 net.png

In geometry, the triaugmented dodecahedron is one of the Johnson solids (J61). It can be seen as a dodecahedron with three pentagonal pyramids (J2) attached to nonadjacent faces.

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, MR 0185507, Zbl 0132.14603, doi:10.4153/cjm-1966-021-8 .