Triaugmented Dodecahedron
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Triaugmented Dodecahedron
Triaugmented dodecahedron
Triaugmented dodecahedron.png
TypeJohnson
J60 - J61 - J62
Faces3+2×6 triangles
3×3 pentagons
Edges45
Vertices23
Vertex configuration2+3(53)
3+2.6(32.52)
3(35)
Symmetry groupC3v
Dual polyhedron-
Propertiesconvex
Net
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 is composed of regular polygon faces but are not uniform polyhedra (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

  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.

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