Rotate

Rotate[g,θ]

represents 2D graphics primitives or any other objects g rotated counterclockwise by θ radians about the center of their bounding box.

Rotate[g,θ,{x,y}]

rotates about the point {x,y}.

Rotate[g,{u,v}]

rotates around the origin, transforming the 2D or 3D vector u to v.

Rotate[g,θ,w]

rotates 3D graphics primitives by θ radians around the 3D vector w anchored at the origin.

Rotate[g,θ,w,p]

rotates around the 3D vector w anchored at p.

Rotate[g,θ,{u,v}]

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

Details and Options

  • θ Degree or θ° specifies an angle in degrees.
  • If Rotate appears outside a graphic, the object g in Rotate[g,θ] etc. can be any expression.
  • 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.
  • If Rotate appears within a graphic, the coordinates {x,y} are taken to be in the coordinate system of the graphic.
  • If Rotate appears outside a graphic, the coordinates {x,y} are taken to run from to across the bounding box of the object being rotated.
  • Rotate[g,θ] is equivalent to Rotate[g,θ,{Center,Center}].
  • For objects specified with scaled coordinates Scaled[{x,y}], Rotate effectively applies its transformation to the corresponding ordinary coordinates.
  • If Rotate appears inside a graphic, Normal[expr] if possible replaces all Rotate[gi,] constructs by versions of the gi in which the coordinates have explicitly been transformed.

Examples

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Basic Examples  (3)

Rotate a square by 30°:

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Rotate a cuboid by 30° around the axis:

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Rotate text by 45°:

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Scope  (8)

Applications  (2)

Properties & Relations  (1)

Possible Issues  (4)

Neat Examples  (2)

See Also

RotationMatrix  RotationTransform  EulerMatrix  RollPitchYawMatrix  Translate  Scale  GeometricTransformation  ImageRotate  AnglePath

Introduced in 2007
(6.0)
| Updated in 2008
(7.0)