Augmented truncated tetrahedron

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Augmented truncated tetrahedron
Augmented truncated tetrahedron.png
TypeJohnson
J64 - J65 - J66
Faces2+2x3 triangles
3 squares
3 hexagons
Edges27
Vertices15
Vertex configuration2x3(3.62)
3(3.4.3.4)
6(3.4.3.6)
Symmetry groupC3v
Dual polyhedron-
Propertiesconvex
Net
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 a truncated tetrahedron.

A Johnson solid is one of 92 strictly convex polyhedra that is 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]

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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