Triaugmented truncated dodecahedron

Triaugmented truncated dodecahedron
Type Johnson
J70 - J71 - J72
Faces 2+3x3+4x6 triangles
3+2x6 squares
3 pentagons
3.3 decagons
Edges 135
Vertices 75
Vertex configuration 4x3+3x6(3.102)
3+2x6(3.4.5.4)
5x6(3.4.3.10)
Symmetry group C3v
Dual polyhedron -
Properties convex
Net

In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids (J71); of them, it has the greatest volume in proportion to the cube of the side length.

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

  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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