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・ Truncated rhombicosidodecahedron
・ Truncated rhombicuboctahedron
・ Truncated spur
・ Truncated square antiprism
・ Truncated square tiling
・ Truncated square trapezohedron
・ Truncated tesseract
・ Truncated tesseractic honeycomb
・ Truncated tetraapeirogonal tiling
・ Truncated tetrahedral prism
・ Truncated tetrahedron
・ Truncated tetraheptagonal tiling
・ Truncated tetrahexagonal tiling
・ Truncated tetraoctagonal tiling
・ Truncated tetrapentagonal tiling
Truncated trapezohedron
・ Truncated triakis tetrahedron
・ Truncated triangular trapezohedron
・ Truncated triapeirogonal tiling
・ Truncated triheptagonal tiling
・ Truncated trihexagonal tiling
・ Truncated trioctagonal tiling
・ Truncatella
・ Truncatella (fungus)
・ Truncatella (gastropod)
・ Truncatella californica
・ Truncatella caribaeensis
・ Truncatella clathrus
・ Truncatella guerinii
・ Truncatella laurocerasi


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

An ''n''-gonal truncated trapezohedron is a polyhedron formed by a ''n''-gonal trapezohedron with ''n''-gonal pyramids truncated from its two polar axis vertices. If the polar vertices are completely truncated (diminished), a trapezohedron becomes an antiprism.
The vertices exist as 4 ''n''-gons in four parallel planes, with alternating orientation in the middle creating the pentagons.
The regular dodecahedron is the most common polyhedron in this class, being a platonic solid, with 12 congruent pentagonal faces.
A ''truncated trapezohedron'' has all vertices with 3 faces. This means that the dual polyhedra, the set of gyroelongated dipyramids, have all triangular faces. For example, the icosahedron is the dual of the dodecahedron.
==Forms==
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*Triangular truncated trapezohedron (Dürer's solid) – 6 pentagons, 2 triangles, dual gyroelongated triangular dipyramid
*Truncated square trapezohedron – 8 pentagons, 2 squares, dual gyroelongated square dipyramid
*''Truncated pentagonal trapezohedron'' or regular dodecahedron – 12 pentagonal faces, dual icosahedron
*Truncated hexagonal trapezohedron – 12 pentagons, 2 hexagons, dual gyroelongated hexagonal dipyramid
*...
*Truncated ''n''-gonal trapezohedron – 2''n'' pentagons, 2 ''n''-gons, dual gyroelongated dipyramids

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Truncated trapezohedron」の詳細全文を読む



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