Definition:Concave Polyhedron

This page is about Concave Polyhedron. For other uses, see Concave.

Definition

Let $P$ be a polyhedron.

Definition 1

$P$ is a concave polyhedron if and only if:

at least one face of $P$ lies in a plane which intersects at least one other face.

Definition 2

$P$ is a concave polyhedron if and only if:

at least one face of $P$ lies in a plane such that $P$ does not lie completely on one side of that plane.

Also see

• Equivalence of Definitions of Concave Polyhedron

• Results about concave polyhedra can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): concave polyhedron
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): concave polyhedron