Bigyrate diminished rhombicosidodecahedron

{{Short description|79th Johnson solid}}

{{Infobox polyhedron

|image=bigyrate_diminished_rhombicosidodecahedron.png

|type=Johnson
{{math|metagyrate diminished rhombicosidodecahedron – J{{sub|79}} – parabidiminished rhombicosidodecahedron}}

|faces=3+6×2 triangles
3+11×2 squares
3+4×2 pentagons
1 decagon

|edges=105

|vertices=55

|symmetry={{math|C{{sub|s}}}}

|vertex_config={{math|5×2(4.5.10)
10×2(3.4{{sup|2}}.5)
3+11×2(3.4.5.4)}}

|dual=-

|properties=convex

|net=Johnson solid 79 net.png

}}

In geometry, the bigyrate diminished rhombicosidodecahedron is one of the Johnson solids ({{math|J{{sub|79}}}}). It can be constructed as a rhombicosidodecahedron with two pentagonal cupolae rotated through 36 degrees, and a third pentagonal cupola removed. (None of the cupolae can be adjacent.)

{{Johnson solid}}