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・ Truncated cuboctahedral prism
・ Truncated cuboctahedron
・ Truncated dependent variable
・ Truncated differential cryptanalysis
・ Truncated distribution
・ Truncated dodecadodecahedron
・ Truncated dodecahedral prism
・ Truncated dodecahedron
・ Truncated great dodecahedron
・ Truncated great icosahedron
・ Truncated heptagonal tiling
・ Truncated hexagonal tiling
・ Truncated hexagonal trapezohedron
・ Truncated hexaoctagonal tiling
・ Truncated icosahedral prism
Truncated icosahedron
・ Truncated icosidodecahedral prism
・ Truncated icosidodecahedron
・ Truncated infinite-order square tiling
・ Truncated infinite-order triangular tiling
・ Truncated mean
・ Truncated Newton method
・ Truncated normal distribution
・ Truncated octagonal tiling
・ Truncated octahedral prism
・ Truncated octahedron
・ Truncated order-3 apeirogonal tiling
・ Truncated order-4 apeirogonal tiling
・ Truncated order-4 heptagonal tiling
・ Truncated order-4 hexagonal tiling


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Truncated icosahedron : ウィキペディア英語版
Truncated icosahedron

In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose faces are two or more types of regular polygons.
It has 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges.
It is the Goldberg polyhedron GV(1,1), containing pentagonal and hexagonal faces.
This geometry is associated with footballs (soccer balls) typically patterned with white hexagons and black pentagons. Geodesic domes are often based on this structure. It also corresponds to the geometry of the "Bucky Ball" (Carbon-60, or C60) molecule.
It is used in the cell-transitive hyperbolic space-filling tessellation, the bitruncated order-5 dodecahedral honeycomb.
==Construction==
This polyhedron can be constructed from an icosahedron with the 12 vertices truncated (cut off) such that one third of each edge is cut off at each of both ends. This creates 12 new pentagon faces, and leaves the original 20 triangle faces as regular hexagons. Thus the length of the edges is one third of that of the original edges.

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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