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Great truncated icosidodecahedron : ウィキペディア英語版 | Great truncated icosidodecahedron
In geometry, the great truncated icosidodecahedron or great quasitruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U68. It is given a Schläfli symbol t0,1,2, and Coxeter-Dynkin diagram, . ==Cartesian coordinates == Cartesian coordinates for the vertices of a great truncated icosidodecahedron centered at the origin are all the even permutations of : (±τ, ±τ, ±(3−1/τ)), : (±2τ, ±1/τ, ±(1−2/τ)), : (±τ, ±1/τ2, ±(1+3/τ)), : (±(1+2/τ), ±2, ±(2−1/τ)) and : (±1/τ, ±3, ±2/τ), where τ = (1+√5)/2 is the golden ratio.
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