Augmented truncated dodecahedron

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Augmented truncated dodecahedron
Augmented truncated dodecahedron.png
Type Johnson
J67 - J68 - J69
Faces 5x5 triangles
5 squares
1 pentagon
1+2x5 decagons
Edges 105
Vertices 65
Vertex configuration 4.5+3.10(3.102)
Symmetry group C5v
Dual polyhedron -
Properties convex
Johnson solid 68 net.png

In geometry, the augmented truncated dodecahedron is one of the Johnson solids (J68). As its name suggests, it is created by attaching a pentagonal cupola (J5) onto one decagonal face of a truncated 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, MR 0185507, Zbl 0132.14603, doi:10.4153/cjm-1966-021-8 .