augmented truncated dodecahedron

{{Short description|68th Johnson solid}}

{{Infobox polyhedron

|image=augmented_truncated_dodecahedron.png

|type=Johnson
{{math|biaugmented truncated cube – J{{sub|68}} – parabiaugmented truncated dodecahedron}}

|faces=5x5 triangles
5 squares
1 pentagon
1+2x5 decagons

|edges=105

|vertices=65

|symmetry={{math|Point groups in three dimensions}}

|vertex_config={{math|4.5+3.10(3.10{{sup|2}})
5(3.4.5.4)
10(3.4.3.10)}}

|dual=-

|properties=convex

|net=Johnson solid 68 net.png

}}

In geometry, the augmented truncated dodecahedron is one of the Johnson solids ({{math|J{{sub|68}}}}). As its name suggests, it is created by attaching a pentagonal cupola ({{math|J{{sub|5}}}}) onto one decagonal face of a truncated dodecahedron.

{{Johnson solid}}