Slab (geometry) explained

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:$$\backslash ,$$ where

n is the normal vector of the planes n ⋅ x = \alpha and n ⋅ x = \beta .

Or, if the slab is centered around the origin:$$\backslash ,$$ where

\theta = |\alpha - \beta| is the thickness of the slab.

See also

• Bounding slab
• Convex polytope
• Half-plane
• Hyperplane
• Prismatoid
• Slab decomposition
• Spherical shell