Definition:Polyhedron/Face
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This page is about Face of Polyhedron. For other uses, see face.
Definition
The faces of a polyhedron are the polygons which contain it.
In the words of Euclid:
(The Elements: Book $\text{XI}$: Definition $2$)
Also known as
The faces of a polyhedron can also be referred to as its sides, but this may be confused with its edges.
Hence this usage will not be found on $\mathsf{Pr} \infty \mathsf{fWiki}$.
Also see
- Definition:Face of Solid Figure: This is a special case where the solid figure is a polyhedron, which by definition is contained completely by polygons.
- Results about faces of polyhedra can be found here.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): face: 1.
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): face
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): polyhedron: 1. (plural polyhedra)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): face
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): polyhedron: 1. (plural polyhedra)
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): face
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): face