Biaugmented truncated cube

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Biaugmented truncated cube
Biaugmented truncated cube.png
Type Johnson
J66 - J67 - J68
Faces 2x8 triangles
2+8 squares
4 octagons
Edges 60
Vertices 32
Vertex configuration 8(3.82)
Symmetry group D4h
Dual polyhedron -
Properties convex
Johnson solid 67 net.png

In geometry, the biaugmented truncated cube is one of the Johnson solids (J67). As its name suggests, it is created by attaching two square cupolas (J4) onto two parallel octagonal faces of a truncated cube.

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 .