In geometry, the small complex icosidodecahedron is a degenerate uniform star polyhedron. Its edges are doubled, making it degenerate. The star has 32...

In geometry, the great complex icosidodecahedron is a degenerate uniform star polyhedron. It has 12 vertices, and 60 (doubled) edges, and 32 faces, 12...

regular icosahedron; the compound with both is the small complex icosidodecahedron. Inchbald, Guy (2006). "Facetting Diagrams". The Mathematical Gazette...

Rhombicosacron Small complex icosidodecahedron Small ditrigonal dodecacronic hexecontahedron Small dodecacronic hexecontahedron Small dodecahemicosacron Small dodecahemidodecacron...

the small complex icosidodecahedron (compound of icosahedron and great dodecahedron) and the great complex icosidodecahedron (compound of small stellated...

include: Small complex icosidodecahedron Great complex icosidodecahedron Small complex rhombicosidodecahedron Great complex rhombicosidodecahedron Complex...

Rhombicosacron Small complex icosidodecahedron Small ditrigonal dodecacronic hexecontahedron Small dodecacronic hexecontahedron Small dodecahemicosacron Small dodecahemidodecacron...

degenerate polyhedron included in the above list, such as the small complex icosidodecahedron. This interpretation of edges being coincident allows these...

great ditrigonal dodecacronic hexecontahedron. Small complex icosidodecahedron Great complex icosidodecahedron Har'El, 1993 Uniform Polyhedron, Mathworld...

with the great icosahedron; the compound with both is the great complex icosidodecahedron. There are four related uniform polyhedra, constructed as degrees...

shares its edge arrangement with the small ditrigonal icosidodecahedron, the great ditrigonal icosidodecahedron, and the ditrigonal dodecadodecahedron...

Wenninger's Polyhedron Models) An unknown number of stellations of the icosidodecahedron; there are 7,071,671 non-chiral stellations, but the number of chiral...

squares, 8 hexagons, and 6 octagons. (Omnitruncated cube) The truncated icosidodecahedron, with 30 squares, 20 hexagons and 12 decagons. (Omnitruncated dodecahedron)...

(going to the right in the figure) a truncated icosahedron or an icosidodecahedron when the {111} and {110} are similar, and a regular dodecahedron when...

polyhedron that can pass through a copy of itself of the same size or smaller is said to have the Rupert property. A geometric problem of doubling the...

icosahedron. ( 0 , − 30 s , − 30 s ) {\displaystyle (0,-30s,-30s)} for the icosidodecahedron. ( 0 , 30 s , 30 s ) {\displaystyle (0,30s,30s)} for the rhombicosidodecahedron...

The designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn...

reflections of each other. Examples include the snub cuboctahedron and snub icosidodecahedron. In this case the polyhedron is said to be chiral. The point group...

12 vertices of a larger icosahedron, at 90° the 30 vertices of an icosidodecahedron, and finally at 180° the antipodal vertex of V. These can be seen...

The centroids of the 30 equatorial cells form the vertices of an icosidodecahedron, with the meridians (as described above) passing through the center...

Each regular polyhedron has a convex hull on its edge midpoints; icosidodecahedron is the convex hull of a regular icosahedron. Each vertex is surrounded...