Augmented tridiminished icosahedron

From HandWiki
Short description: 64th Johnson solid
Augmented tridiminished icosahedron
Augmented tridiminished icosahedron.png
TypeJohnson
J63J64J65
Faces1+2x3 triangles
3 pentagons
Edges18
Vertices10
Vertex configuration1(33)
3(3.52)
3(33.5)
3(32.52)
Symmetry groupC3v
Dual polyhedron-
Propertiesconvex
Net
Johnson solid 64 net.png

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).

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]

External links



  1. Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics 18: 169–200, doi:10.4153/cjm-1966-021-8 .