Puneet Varma (Editor)

Augmented truncated tetrahedron

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Edges
  
27

Symmetry group
  
C3v

Vertices
  
15

Augmented truncated tetrahedron

Type
  
Johnson J64 - J65 - J66

Faces
  
2+2x3 triangles 3 squares 3 hexagons

Vertex configuration
  
2x3(3.6) 3(3.4.3.4) 6(3.4.3.6)

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.

References

Augmented truncated tetrahedron Wikipedia