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

In geometry, a trigonal trapezohedron or trigonal deltohedron is a three-dimensional figure formed by six congruent rhombi.
Six identical rhombic faces can construct two configurations of trigonal trapezohedra. The ''acute'' or ''prolate'' form has three acute angles corners of the rhombic faces meeting at two polar axis vertices. The ''obtuse'' or ''oblate'' or ''flat'' form has three obtuse angle corners of the rhombic faces meeting at the two polar axis vertices.
The trigonal trapezohedra is a special case of a rhombohedron. A general rhombohedron allows up to three types of rhombic faces.
== Geometry==
A trigonal trapezohedron is a special kind of parallelepiped, and are the only parallelepipeds with six congruent faces. Since all of the edges must have the same length, every trigonal trapezohedron is also a rhombohedron.
It is the simplest of the trapezohedra, an infinite sequence of polyhedra which are dual to the antiprisms. The dual of a ''trigonal trapezohedron'' is a triangular antiprism.
A trigonal trapezohedron with square faces is a cube.

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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