Rhombicosidodecahedron

A (small) rhombicosidodecahedron is an Archimedean solid created from cantellating a dodecahedron or an icosahedron. Each edge of a pentagonal face of the dodecahedron is shared with a square and each vertex is shared with a triangle. Alternatively, the edges of a triangular face of an icosahedron are shared with squares and each vertex is shared with a pentagon.

A rhombicosidodecahedron has 12 pentagons, 30 squares, and 20 triangles.

Its Bowers acronym is srid.

See Also[]

Polytope Wiki. "Small rhombicuboctahedron".
Bowers, Jonathan. "Polyhedron Category 4: Trapeziverts".


Regular $t_0 \{5,3\}$	Rectified $t_1 \{5,3\}$	Birectified $t_2 \{5,3\}$	Truncated $t_{0,1} \{5,3\}$	Bitruncated $t_{1,2} \{5,3\}$	Cantellated $t_{0,2} \{5,3\}$	Cantitruncated $t_{0,1,2} \{5,3\}$
Dodecahedron	Icosidodecahedron	Icosahedron	Truncated dodecahedron	Truncated icosahedron	Rhombicosidodecahedron	Great rhombicosidodecahedron


$t_{0,2} \{2,3\}$	$t_{0,2} \{3,3\}$	$t_{0,2} \{4,3\}$	$t_{0,2} \{5,3\}$	$t_{0,2} \{6,3\}$	$t_{0,2} \{7,3\}$	$t_{0,2} \{8,3\}$	...	$t_{0,2} \{\infty,3\}$	$t_{0,2} \{\frac{\pi i}{\lambda},3\}$
Triangular prism	Cuboctahedron	Rhombicuboctahedron	Rhombicosidodecahedron	Rhombitrihexagonal tiling	Rhombitriheptagonal tiling	Rhombitrioctagonal tiling	...	Rhombitriapeirogonal tiling	Rhombitripseudogonal tiling