Harman Patil (Editor)

Augmented tridiminished icosahedron

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Edges
  
18

Symmetry group
  
C3v

Vertices
  
10

Augmented tridiminished icosahedron

Type
  
Johnson J63 - J64 - J65

Faces
  
1+2x3 triangles 3 pentagons

Vertex configuration
  
1(3) 3(3.5) 3(3.5) 3(3.5)

In geometry, the augmented tridiminished icosahedron is one of the Johnson solids (J64).

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.

It can be obtained by joining a tetrahedron to another Johnson solid, the tridiminished icosahedron.

References

Augmented tridiminished icosahedron Wikipedia