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Brushes are templates used in some 3D video game engines, such as the Quake engine, its derivatives the GoldSrc and Source game engines, or the Unreal Engine, to construct levels. Brushes can be primitive shapes, pre-defined shapes, or custom shapes .
In order to describe these shapes mathematically, each brush is made up of planes that define its boundaries. A plane can be represented by an equation in 3D space, which looks like this:
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