Neha Patil (Editor)

Triaugmented triangular prism

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Faces
  
2+2x6 triangles

Vertices
  
9

Symmetry group
  
D3h

Edges
  
21

Vertex configuration
  
3(3) 6(3)

Triaugmented triangular prism

Type
  
Johnson J50 - J51 - J52

In geometry, the triaugmented triangular prism or tetracaidecadeltahedron is one of the Johnson solids (J51). As the name suggests, it can be constructed by attaching square pyramids (J1) to each of the three equatorial faces of the triangular prism. It is a deltahedron.

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.

Dual polyhedron

The dual of the triaugmented triangular prism is an order-5 associahedron. This transparent image shows its three square, and six congruent irregular pentagonal faces. Edges are colored to distinguish the 3 different edge lengths.

References

Triaugmented triangular prism Wikipedia