Mathematica's symbolic architecture and sophisticated mathematical capabilities allow it to take a uniquely high-level approach to geometric transformations—supporting complete geometric, matrix, and functional representations in any number of dimensions, whether for mechanical systems, computer graphics, or pure mathematics.
Geometric Object Transformations
GeometricTransformation — apply any transformation function to geometric objects
RotationMatrix — rotations in any number of dimensions
ScalingMatrix — stretch or shrink along any direction
TransformationMatrix — the matrix representation of a transformation function
Symbolic Transformation Functions
TransformationFunction — general symbolic representation of transformations
Composition — symbolic composition of transformation functions
InverseFunction — inverse of transformation functions
FiniteGroupData — properties of finite groups
