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Mathematica > Visualization and Graphics > Computational Geometry > Geometric Transforms >

Built-in Mathematica Symbol

TranslationTransform

TranslationTransform[v]
gives a TransformationFunction that represents translation of points by a vector v.

TranslationTransform[{x₁, ..., x_n}] gives a transformation for vectors with dimension n.

Generate a function representing a translation by the vector {a, b}:

Apply the transformation function to a vector:

Generate a function representing a translation by the vector {a, b}:

Apply the transformation function to a vector:

Translation in four dimensions:

The inverse transform:

Apply the transform 5 times:

Use matrix operations and homogeneous coordinates:

Transformation applied to a 2D shape:

Transformation applied to a 3D shape:

Transforming graphics primitives:

Translating by p and then by q is the same as translating by p+q:

The inverse of translating by p is the same as translating by -p:

For geometric transformations use Translate directly:

A random translation walk: