In geometry, a slab is a region between two parallel lines in the Euclidean plane,[1] or between two parallel planes in three-dimensional Euclidean space or between two hyperplanes in higher dimensions.[2]
A slab can also be defined as a set of points:[3] [math]\displaystyle{ \{x \in \mathbb{R}^n \mid \alpha \le n \cdot x \le \beta \}, }[/math] where [math]\displaystyle{ n }[/math] is the normal vector of the planes [math]\displaystyle{ n \cdot x = \alpha }[/math] and [math]\displaystyle{ n \cdot x = \beta }[/math].
Or, if the slab is centered around the origin:[4] [math]\displaystyle{ \{x \in \mathbb{R}^n \mid |n \cdot x| \le \theta / 2 \}, }[/math] where [math]\displaystyle{ \theta = |\alpha - \beta| }[/math] is the thickness of the slab.
Original source: https://en.wikipedia.org/wiki/Slab (geometry).
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