augmented tridiminished icosahedron

{{Short description|64th Johnson solid}}

{{Infobox polyhedron

|image=augmented tridiminished icosahedron.png

|type=Johnson
{{math|tridiminished icosahedron – J{{sub|64}} – augmented truncated tetrahedron}}

|faces=1+2x3 triangles
3 pentagons

|edges=18

|vertices=10

|symmetry={{math|C{{sub|3v}}}}

|vertex_config={{math|1(3{{sup|3}})
3(3.5{{sup|2}})
3(3{{sup|3}}.5)
3(3{{sup|2}}.5{{sup|2}})}}

|dual=-

|properties=convex

|net=Johnson solid 64 net.png

}}

In geometry, the augmented tridiminished icosahedron is one of the

Johnson solids ({{math|J{{sub|64}}}}). It can be obtained by joining a tetrahedron to another Johnson solid, the tridiminished icosahedron ({{math|J{{sub|63}}}}).

{{Johnson solid}}