Augmented truncated dodecahedron

68th Johnson solid (42 faces) From Wikipedia, the free encyclopedia

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.

Quick facts Type, Faces ...
Augmented truncated dodecahedron
TypeJohnson
J67J68J69
Faces5×5 triangles
5 squares
1 pentagon
1+2×5 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
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A Johnson solid is one of 92 strictly convex polyhedra that are 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]

3D model of an augmented truncated dodecahedron

References

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