This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)
Geometric Transforms
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
Rotate  ▪ Translate  ▪ Scale
GeometricTransformation apply any transformation function to geometric objects
Transformation Matrices
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
Algebraic Structure
FiniteGroupData properties of finite groups