In geometry, a slab is a region between two parallel lines in the Euclidean plane, or between two parallel planes in three-dimensional Euclidean space or between two hyperplanes in higher dimensions.
Set definition
A slab can also be defined as a set of points: \{x \in \mathbb{R}^n \mid \alpha \le n \cdot x \le \beta \}, where n is the normal vector of the planes n \cdot x = \alpha and n \cdot x = \beta. Or, if the slab is centered around the origin: \{x \in \mathbb{R}^n \mid |n \cdot x| \le \theta / 2 \}, where \theta = |\alpha - \beta| is the thickness of the slab. == See also ==