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# Transformation Matrix

Some geometries have an optional transformation matrix affixed to them, which can further refine its placement in 2D or 3D space. Conceptually, the definition of the geometry is understood first without the matrix, and then the affine matrix can be applied to the geometry to affect scaling, rotation, offset, and shear.

Note that the matrix form of an affine transformation is a 4-by-4 matrix with the fourth row 0, 0, 0, and 1.

Each geometry described in this section indicates whether it supports a transformation matrix.