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Mathematica > Geometric Transforms >

Built-in Mathematica Symbol

Rotate

]
represents 2D graphics primitives g rotated counterclockwise by

radians about the center of their bounding box.

, {x, y}]
rotates 2D graphics primitives about the point {x, y}.

, w]
rotates 3D graphics primitives by

radians around the 3D vector w anchored at the origin.

, w, p]
rotates around the 3D vector w anchored at p.

Rotate[g, {u, v}]
rotates around the origin transforming the 3D vector u to v.

, {u, v}]
rotates by angle

in the plane spanned by 3D vectors u and v.

You can specify special points such as {Left, Bottom} within the bounding box for g.

The x position can be specified as Left, Center or Right; the y position as Bottom, Center or Top.

Explicit coordinates are taken to be in the coordinate system of the graphic in which Rotate[...] appears.

For objects specified with scaled coordinates Scaled[{x, y}], Rotate effectively applies its transformation to the corresponding ordinary coordinates.

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

Rotate a square by 30°:

Rotate a cuboid by 30° around the z axis: