Expanded icosidodecahedronSchläfli symbolrr = rrr{5,3}Conway notationedaD = aaaDFaces122:20 {3}60 {4}12 {5}30 rhombsEdges240Vertices120Symmetry groupIh, [5,3], (*532) order 120Rotation groupI, [5,3]+, (532), order 60Dual polyhedronDeltoidal hecatonicosahedronPropertiesconvexNet The expanded icosidodecahedron is a polyhedron, constructed as an expanded icosidodecahedron. It has 122 faces: 20 triangles, 60 squares, 12 pentagons, and 30 rhombs. The 120 vertices exist at two sets of 60, with a slightly different distance from its center.
It can also be constructed as a rectified rhombicosidodecahedron.
Other names Expanded rhombic triacontahedron Rectified rhombicosidodecahedron Rectified small rhombicosidodecahedron Rhombirhombicosidodecahedron
Expansion The expansion operation from the rhombic triacontahedron can be seen in this animation:
Dissection This polyhedron can be dissected into a central rhombic triacontahedron surrounded by: 30 rhombic prisms, 20 tetrahedra, 12 pentagonal pyramids, 60 triangular prisms.
Related polyhedra NameDodeca-hedronIcosidodeca-hedronRhomb-icosidodeca-hedronExpandedicosidodeca-hedronCoxeterDIDrIDrrIDConwayaDaaD = eDaaaD = eaDImageConwaydD = IdaD = jDdeD = oDdeaD = oaDDual
See also Rhombicosidodecahedron (expanded dodecahedron) Truncated rhombicosidodecahedron Expanded cuboctahedron
References
Coxeter Regular Polytopes, Third edition, (1973), Dover edition, (pp. 145–154 Chapter 8: Truncation) John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008,
External links George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input, VRML model Convex Polyhedra containing Golden Rhombi: 2. Expanded RTC ('XRTC') and related polyhedral Variations on a Rhombic Theme