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

In geometry, a triakis tetrahedron (or kistetrahedron〔Conway, Symmetries of things, p.284〕) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated tetrahedron.
It can be seen as a tetrahedron with triangular pyramids added to each face; that is, it is the Kleetope of the tetrahedron. It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each face. This interpretation is expressed in the name.
If the triakis tetrahedron has shorter edge lengths 1, it has area \tfrac \scriptstyle \scriptstyle{\sqrt{2}}.
== Orthogonal projections ==
{| class=wikitable
|+ Orthogonal projection
!Centered by
!Edge normal
!Face normal
!Face/vertex
!Edge
|- align=center
!Truncated
File:tetrahedron t01 ae.png

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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