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SOLUTIONS
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Functions
- AffineTransform
- Composition
- FiniteGroupData
- GeometricTransformation
- IdentityMatrix
- InverseFunction
- LinearFractionalTransform
- ReflectionMatrix
- ReflectionTransform
- RescalingTransform
- Rotate
- RotationMatrix
- RotationTransform
- Scale
- ScalingMatrix
- ScalingTransform
- ShearingMatrix
- ShearingTransform
- TransformationFunction
- TransformationMatrix
- Translate
- TranslationTransform
- Related Guides
- Tutorials
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.
ReferenceReference
Geometric Object Transformations
GeometricTransformation — apply any transformation function to geometric objects
Transformation Matrices
RotationMatrix — rotations in any number of dimensions
ScalingMatrix — stretch or shrink along any direction
ShearingMatrix ▪ ReflectionMatrix ▪ IdentityMatrix
TransformationMatrix — the matrix representation of a transformation function
Symbolic Transformation Functions
RotationTransform ▪ TranslationTransform ▪ ScalingTransform
ShearingTransform ▪ ReflectionTransform ▪ RescalingTransform
AffineTransform ▪ LinearFractionalTransform
TransformationFunction — general symbolic representation of transformations
Composition — symbolic composition of transformation functions
InverseFunction — inverse of transformation functions
Algebraic Structure
FiniteGroupData — properties of finite groups
