Augmented tridiminished icosahedron

Augmented tridiminished icosahedron
Type	Johnson J63 - J64 - J65
Faces	1+2x3 triangles 3 pentagons
Edges	18
Vertices	10
Vertex configuration	1(33) 3(3.52) 3(33.5) 3(32.52)
Symmetry group	C3v
Dual polyhedron	-
Properties	convex
Net

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.^[1]

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

External links

• Weisstein, Eric W., "Johnson Solid", MathWorld.
  • Weisstein, Eric W., "Augmented tridiminished icosahedron", MathWorld.

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 .