Metabiaugmented truncated dodecahedron

Metabiaugmented truncated dodecahedron
Type Johnson
J69 - J70 - J71
Faces 5x2+5x4 triangles
2+2x4 squares
2 pentagons
10 decagons
Edges 120
Vertices 70
Vertex configuration 4x2+8x4(3.102)
2+2.4(3.4.5.4)
5x4(3.4.3.10)
Symmetry group C2v
Dual polyhedron -
Properties convex
Net

In geometry, the metabiaugmented truncated dodecahedron is one of the Johnson solids (J70). As its name suggests, it is created by attaching two pentagonal cupolas (J5) onto two nonadjacent, nonparallel 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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