Parabiaugmented truncated dodecahedron

Parabiaugmented truncated dodecahedron
Type Johnson
J68 - J69 - J70
Faces 3x10 triangles
10 squares
2 pentagons
10 decagons
Edges 120
Vertices 70
Vertex configuration 2x10+20(3.102)
10(3.4.5.4)
20(3.4.3.10)
Symmetry group D5d
Dual polyhedron -
Properties convex
Net

In geometry, the parabiaugmented truncated dodecahedron is one of the Johnson solids (J69). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two parallel decagonal faces 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]

  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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