Parabiaugmented truncated dodecahedron

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Parabiaugmented truncated dodecahedron
Parabiaugmented truncated dodecahedron.png
TypeJohnson
J68 - J69 - J70
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 groupD5d
Dual polyhedron-
Propertiesconvex
Net
Johnson solid 69 net.png

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]

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.