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Rotate

Rotate
represents 2D graphics primitives or any other objects g rotated counterclockwise by radians about the center of their bounding box.
Rotate
rotates about the point .
Rotate
rotates around the origin, transforming the 2D or 3D vector u to v.
Rotate
rotates 3D graphics primitives by radians around the 3D vector w anchored at the origin.
Rotate
rotates around the 3D vector w anchored at p.
Rotate
rotates by angle in the plane spanned by 3D vectors u and v.
MORE INFORMATION
  • Degree or ° specifies an angle in degrees.
  • If Rotate appears outside a graphic, the object g in Rotate etc. can be any expression.
  • You can specify special points such as {Left, Bottom} within the bounding box for g.
  • If Rotate appears within a graphic, the coordinates are taken to be in the coordinate system of the graphic.
  • If Rotate appears outside a graphic, the coordinates are taken to run from to across the bounding box of the object being rotated.
  • For objects specified with scaled coordinates Scaled, Rotate effectively applies its transformation to the corresponding ordinary coordinates.
  • If Rotate appears inside a graphic, Normal[expr] if possible replaces all Rotate constructs by versions of the in which the coordinates have explicitly been transformed.
EXAMPLESCLOSE ALL
Basic Examples   (3)
Rotate a square by 30°:
Rotate a cuboid by 30° around the axis:
Rotate text by 45°:
Rotate a square by 30°:
In[1]:=
Click for copyable input
Out[1]=
 
Rotate a cuboid by 30° around the axis:
In[1]:=
Click for copyable input
Out[1]=
 
Rotate text by 45°:
In[1]:=
Click for copyable input
Out[1]=
Scope   (8)
Transformation applied to a 2D shape:
Transformation applied to a 3D shape:
Rotation around the axis, keeping the point fixed:
Rotation mapping vector to vector :
Rotation in the plane spanned by vectors and :
Rotate text:
Rotate objects with scaled coordinates:
Keep the lower-right corner of the rectangle fixed:
Applications   (2)
Grid with vertical text:
Diamond grid:
Properties & Relations   (1)
When possible, Normal will transform the coordinates explicitly:
Possible Issues   (3)
By default Rotate uses the center of the bounding box as the center of rotation:
Explicitly specify a center of rotation:
Transforming an object may move it out of view:
Adjust the PlotRange to display the transformed object:
The center of the baseline of rotated text aligns with the baseline of the surrounding text:
For a different alignment, specify an explicit center of rotation:
Neat Examples   (2)
Rotations of a regular polygon:
Nested, rotated square roots:
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