e/Facet (geometry)

Information
has gloss	eng: A facet of a geometric polyhedron is traditionally any polygon whose corners are vertices of the polyhedron. By extension to higher dimensions, it is any j-tope (j-dimensional polytope) whose vertices are shared by some n-tope (n-dimensional polytope where 0<j<n). To facet a polytope is to find and join such facets to form a new polytope - this process is called facetting or faceting and is the reciprocal process to stellation. A facet of an n-polytope is, more recently, an (n-1)-dimensional face or (n-1)-face. The informal term side can mean the same thing, edges of a polygon and faces of a polyhedron. :For example: :#The facets of a polygon are edges. (1-faces) :#The facets of a polyhedron or tiling are faces. (2-faces) :#The facets of a polychoron (4-polytope) or honeycomb are cells. (3-faces) :#The facets of a polyteron (5-polytope) or 4-honeycomb are hypercells. (4-faces) :Exactly two facets meet at any ridge in a polytope. By extension, facet or j-facet is sometimes used to mean any j-dimensional element of a polytope.
lexicalization	eng: facet
instance of	(noun) a solid figure bounded by plane polygons or faces polyhedron

Meaning
German
has gloss	deu: Der Begriff Facette, auch Fassette (von frz.: facette [f.] = „Facette/Fassette“, „kleine Rautenfläche“, Diminutiv von face – zu lat.: facies = „Seite“, „Vorderseite“; „Gesicht“) steht für:
lexicalization	deu: Facette
Esperanto
has gloss	epo: En geometrio, vorto faceto havas du konfliktantajn signifojn.
lexicalization	epo: faceto