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Tiggy (geometry) : ウィキペディア英語版
Truncated great icosahedron

In geometry, the truncated great icosahedron is a nonconvex uniform polyhedron, indexed as U55. It is given a Schläfli symbol t or t0,1 as a truncated great icosahedron.
== Cartesian coordinates ==
Cartesian coordinates for the vertices of a ''truncated great icosahedron'' centered at the origin are all the even permutations of
: (±1, 0, ±3/τ)
: (±2, ±1/τ, ±1/τ3)
: (±(1+1/τ2), ±1, ±2/τ)
where τ = (1+√5)/2 is the golden ratio (sometimes written φ). Using 1/τ2 = 1 − 1/τ one verifies that all vertices are on a sphere, centered at the origin, with the radius squared equal to 10−9/τ. The edges have length 2.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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