Triaugmented truncated dodecahedron explained

Type:Johnson
Faces:2+3x3+4x6 triangles
3+2x6 squares
3 pentagons
3x3 decagons
Edges:135
Vertices:75
Dual:-
Properties:convex
Net:Johnson solid 71 net.png

In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids ; of them, it has the greatest volume in proportion to the cube of the side length. As its name suggests, it is created by attaching three pentagonal cupolas onto three nonadjacent decagonal faces of a truncated dodecahedron.