Definition:Concave Polyhedron
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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
- 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