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GeometricTransformation   (Built-in Mathematica Symbol)
GeometricTransformation[g, tfun] represents the result of applying the transformation function tfun to the geometric objects corresponding to the primitives ...
TranslationTransform   (Built-in Mathematica Symbol)
TranslationTransform[v] gives a TransformationFunction that represents translation of points by a vector v.
Graphics Transformations   (Mathematica Guide)

Translate   (Built-in Mathematica Symbol)
Translate[g, {x, y, ...}] represents graphics primitives g translated by the vector {x, y, ...}. Translate[g, {{x_1, y_1, ...}, {x_2, y_2, ...}, ...}] represents multiple ...
ShearingTransform   (Built-in Mathematica Symbol)
ShearingTransform[\[Theta], v, n] gives a TransformationFunction that represents a shear by \[Theta] radians along the direction of the vector v, normal to the vector n, and ...
Geometric Transforms   (Mathematica Guide)
Mathematica's symbolic architecture and sophisticated mathematical capabilities allow it to take a uniquely high-level approach to geometric transformations—supporting ...
AffineTransform   (Built-in Mathematica Symbol)
AffineTransform[m] gives a TransformationFunction that represents an affine transform that maps r to m.r. AffineTransform[{m, v}] gives an affine transform that maps r to m.r ...
ReflectionTransform   (Built-in Mathematica Symbol)
ReflectionTransform[v] gives a TransformationFunction that represents a reflection in a mirror through the origin, normal to the vector v.ReflectionTransform[v, p] gives a ...
FindGeometricTransform   (Built-in Mathematica Symbol)
FindGeometricTransform[pts_1, pts_2] finds a geometric transformation between two geometries pts_1 and pts_2, returning the alignment error together with the transformation ...
ReflectionMatrix   (Built-in Mathematica Symbol)
ReflectionMatrix[v] gives the matrix that represents reflection of points in a mirror normal to the vector v.
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