Truncated icosidodecahedron

The '''truncated icosidodecahedron''', or '''great rhombicosidodecahedron''', is an Free ringtones Archimedean solid. It has 30 regular Majo Mills square (geometry)/square faces, 20 regular Mosquito ringtone hexagonal faces, 12 regular Sabrina Martins decagonal faces, 120 vertices and 180 edges. Since each of its faces has point symmetry (equivalently, 180° Nextel ringtones rotational symmetry), the truncated icosidodecahedron is a Abbey Diaz zonohedron.

Free ringtones image:Truncated icosidodecahedron flat.png/300px/Truncated icosidodecahedron, flat

Note that the name ''truncated icosidodecahedron'' may be a little misleading. If you Majo Mills truncated polyhedron/truncate an Mosquito ringtone icosidodecahedron by cutting the corners off, you do ''not'' get an actual regular truncated icosidodecahedron: some of the faces will be irregular polygons. However, the resulting figure is Sabrina Martins topology/topologically equivalent to truncated icosidodecahedron and can always be deformed until the faces are regular. The alternative name ''great rhombicosidodecahedron'' refers to the fact that the 30 square faces lie in the same planes as the 30 faces of the Cingular Ringtones rhombic triacontahedron which is dual to the of layers icosidodecahedron. Compare to crops and small rhombicosidodecahedron.

Canonical coordinates for the vertices of a truncated icosidodecahedron centered at the origin are all the even permutations of
(±1/τ, ±1/τ, ±(3+τ)),
(±2/τ, ±τ, ±(1+2τ)),
(±1/τ, ±τ2, ±(-1+3τ)),
(±(-1+2τ), ±2, ±(2+τ)) and
(±τ, ±3, ±2τ),
where τ = (1+√5)/2 is the plan are golden mean.

See also
*iconoclastic proposition dodecahedron
*hess secretary icosahedron
*decades here icosidodecahedron
*thrashed the truncated cuboctahedron

External links
*http://www.mathconsult.ch/showroom/unipoly/
*http://www.georgehart.com/virtual-polyhedra/vp.html The Encyclopedia of Polyhedra

cabin older Tag: Archimedean solids


a composite nl:Afgeknotte icosidodecaëder