Art of Problem Solving

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In [[geometry]], a '''face''' is any of the [[polygon]]s that make up the boundary of a [[polyhedron]].  For example, a [[cube (geometry) | cube]] has six faces, each of which is a [[square (geometry) | square]].  The polygons that bound higher-dimensional [[polytope]]s are also called faces.
In [[geometry]], a '''face''' is any of the [[polygon]]s that make up the boundary of a [[polyhedron]].  For example, a [[cube (geometry) | cube]] has six faces, each of which is a [[square (geometry) | square]].  The polygons that bound higher-dimensional [[polytope]]s are also called faces.


A polyhedron which has faces of [[congruent]] [[regular polygon]]s is called a [[Platonic solid]].
In regular polyhedra (the [[Platonic solid]]s), all faces are [[congruent]] [[regular polygon]]s.


== See Also ==
== See Also ==

Latest revision as of 18:15, 4 April 2008

In geometry, a face is any of the polygons that make up the boundary of a polyhedron. For example, a cube has six faces, each of which is a square. The polygons that bound higher-dimensional polytopes are also called faces.

In regular polyhedra (the Platonic solids), all faces are congruent regular polygons.

See Also