Biaugmented truncated cube

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Biaugmented truncated cube
Biaugmented truncated cube.png
Type Johnson
J66J67J68
Faces 2×8 triangles
2+8 squares
4 octagons
Edges 60
Vertices 32
Vertex configuration 8(3.82)
8(3.43)
16(3.4.3.8)
Symmetry group D4h
Dual polyhedron -
Properties convex
Net
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 are 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]

3D model of a biaugmented truncated cube J67 biaugmented truncated cube.stl
3D model of a biaugmented truncated cube

References

  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 .