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・ Truncated pentahexagonal tiling
・ Truncated pentakis dodecahedron
・ Truncated power function
・ Truncated railway station termini
・ Truncated regression model
・ 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)


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

In geometry, the truncated tetrahedron is an Archimedean solid. It has 4 regular hexagonal faces, 4 equilateral triangle faces, 12 vertices and 18 edges (of two types). It can be constructed by truncating all 4 vertices of a regular tetrahedron at one third of the original edge length.
A deeper truncation, removing a tetrahedron of half the original edge length from each vertex, is called rectification. The rectification of a tetrahedron produces an octahedron.
A ''truncated tetrahedron'' is the Goldberg polyhedron GIII(1,1), containing triangular and hexagonal faces.
A ''truncated tetrahedron'' can be called a cantic cube, with Coxeter diagram, , having half of the vertices of the cantellated cube (rhombicuboctahedron), . There are two dual positions of this construction, and combining them creates the uniform compound of two truncated tetrahedra.
==Area and volume==
The area ''A'' and the volume ''V'' of a truncated tetrahedron of edge length ''a'' are:
:A = 7\sqrta^2 \approx 12.12435565a^2
:V = \frac\sqrta^3 \approx 2.710575995a^3.

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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