Augmented truncated dodecahedron

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Augmented truncated dodecahedron
Augmented truncated dodecahedron.png
TypeJohnson
J67 - J68 - J69
Faces5x5 triangles
5 squares
1 pentagon
1+2x5 decagons
Edges105
Vertices65
Vertex configuration4.5+3.10(3.102)
5(3.4.5.4)
10(3.4.3.10)
Symmetry groupC5v
Dual polyhedron-
Propertiesconvex
Net
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 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[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.