From Wikipedia, the free encyclopedia
Parabiaugmented truncated dodecahedron
Type Johnson
J68J69J70
Faces3x10 triangles
10 squares
2 pentagons
10 decagons
Edges120
Vertices70
Vertex configuration2x10+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 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.
From Wikipedia, the free encyclopedia
Parabiaugmented truncated dodecahedron
Type Johnson
J68J69J70
Faces3x10 triangles
10 squares
2 pentagons
10 decagons
Edges120
Vertices70
Vertex configuration2x10+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 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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