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dihedron
A dihedron is a type of polyhedron, made of two polygon faces which share the same set of edges. In three-dimensional Euclidean space, it is degenerate if its faces are flat, while in three-dimensional spherical space, a dihedron with flat faces can be thought of as a lens, an example of which is the fundamental domain of a lens space L(''p'',''q'').
Usually a ''regular dihedron'' is implied (two regular polygons) and this gives it a Schläfli symbol as . Each polygon fills a hemisphere, with a regular n-gon on a great circle equator between them.〔Coxeter, ''Regular polytopes'', p. 12〕
The dual of a ''n''-gonal dihedron is the ''n''-gonal hosohedron, where ''n'' digon faces share two vertices.
==As a polyhedron==
A ''dihedron'' can be considered a degenerate prism consisting of two (planar) ''n''-sided polygons connected "back-to-back", so that the resulting object has no depth.
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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