Face (geometry)
In geometry, a face of a polyhedron is any of the polygons that make up its boundaries. For example, any of the squares that bound a cube is a face of the cube. The suffix -hedron is derived from the Greek word ἕδρα (hedra) which means "face".
Sometimes, in the case of a pyramid, the term face is understood to exclude the base.
The (two-dimensional) polygons that bound higher-dimensional polytopes are also commonly called faces. Formally, however, a face is any of the lower dimensional boundaries of the polytope, more specifically called an n-face.
Read more about Face (geometry): Formal Definition, Facets
Famous quotes containing the word face:
“If we pretend to respect the artist at all, we must allow him his freedom of choice, in the face, in particular cases, of innumerable presumptions that the choice will not fructify. Art derives a considerable part of its beneficial exercise from flying in the face of presumptions.”
—Henry James (1843–1916)