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

Mathematica > Visualization and Graphics > Symbolic Graphics Language > Graphics Transformations > Geometric Transforms > Scale >

BUILT-IN MATHEMATICA SYMBOL

Scale

represents graphics primitives g scaled by a factor s.

Scale

scales with the point

kept fixed.

Scale

scales by different factors along different axes.

MORE INFORMATION

Scale scales with the center of the bounding box of g kept fixed.

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

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 Scale[...] appears.

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

Scale can modify the regions allocated to Text and Inset objects, but does not directly affect their contents, and does not scale fonts or other textual elements. »

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

EXAMPLES

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Basic Examples (2)

Transform a 2D shape:

Transform a 3D shape:

Transform a 2D shape:

In[1]:=

Out[1]=

Transform a 3D shape:

In[1]:=

Out[1]=

Scope (6)

Transformation applied to a 2D shape:

Transformation applied to a 3D shape:

The transformations can be nested:

Apply transformation to scaled coordinates:

Keep the point

fixed:

Keep the top-left corner of the circle's bounding box fixed:

Generalizations & Extensions (2)

Use Scale to flip text along the

axis:

Flip along the

axis:

The size of text is affected by Scale only when it is specified using Scaled:

Properties & Relations (1)

When possible, Normal will transform the coordinates explicitly:

Possible Issues (1)

By default, scaling in 2D is done to keep the center of the bounding box fixed:

Explicitly set the origin to be fixed:

Neat Examples (1)

Projections of a cylinder: