Augmented truncated tetrahedron

From Wikipedia, the free encyclopedia
Jump to: navigation, search
Augmented truncated tetrahedron
Augmented truncated tetrahedron.png
Type Johnson
J64 - J65 - J66
Faces 2+2x3 triangles
3 squares
3 hexagons
Edges 27
Vertices 15
Vertex configuration 2x3(3.62)
Symmetry group C3v
Dual polyhedron -
Properties convex
Johnson solid 65 net.png

In geometry, the augmented truncated tetrahedron is one of the Johnson solids (J65). It is created by attaching a triangular cupola (J3) to one hexagonal face of an truncated tetrahedron.

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 .