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

BUILT-IN MATHEMATICA SYMBOL

Translate

represents graphics primitives g translated by the vector

represents multiple copies of g translated by a collection of vectors.

Translate in effect adds to each set of coordinates that appear in the graphics primitives g.

For objects specified with scaled coordinates Scaled, Translate effectively applies its transformation to the corresponding ordinary coordinates.

Normal[expr] if possible replaces all Translate constructs by versions of the in which the coordinates have explicitly been transformed.

Translate with a list of vectors is a very efficient way to represent multiple, identical copies of an arbitrarily complex shape or image in a graphic.

Translation of a 2D graphics primitive:

Translate a 3D graphics primitive:

Translation of a 2D graphics primitive:

Out[1]=

Translate a 3D graphics primitive:

Out[1]=

Transformation applied to a 2D shape:

Transformation applied to a 3D shape:

The transformations can be nested:

Make multiple copies of a complex shape:

When possible, Normal will transform the coordinates explicitly:

Rotating and translating a cylinder along a circle: