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faceting : ウィキペディア英語版
faceting


Stella octangula as a faceting of the cube

In geometry, faceting (also spelled facetting) is the process of removing parts of a polygon, polyhedron or polytope, without creating any new vertices.
New edges of a faceted polyhedron amay be created along face diagonals or internal space diagonals. A ''faceted polyhedron'' will have two faces on each edge and creates new polyhedra or compounds of polyhedra.
Faceting is the reciprocal or dual process to stellation. For every stellation of some convex polytope, there exists a dual faceting of the dual polytope.
== Faceted polygons==
For example, a regular pentagon has one symmetry faceting, the pentagram, and the regular hexagon has two symmetric facetings, one as a polygon, and one as a compound of two triangles.
!Pentagram
!Star hexagon
!Hexagram
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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「faceting」の詳細全文を読む



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