Augmented tridiminished icosahedron

In geometry, the augmented tridiminished icosahedron is one of the Johnson solids (J₆₄). It can be obtained by joining a tetrahedron to another Johnson solid, the tridiminished icosahedron (J₆₃).

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

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]