Definition:Polyhedron/Face

Definition

The faces of a polyhedron are the polygons which contain it.

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.

In the words of Euclid:

An extremity of a solid is a surface.

(The Elements: Book $\text{XI}$: Definition $2$)

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
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): face
• 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