Rotating, scaling, and slanting

A rotation means rotating a coordinate, node, or path around another coordinate or an axis. We will look at this first.

The following options can be used to rotate coordinates and paths:

• rotate is a value in degrees that rotates a coordinate or the coordinate system of a path around the origin. When used as an option for a node, the node’s center is considered the origin of the rotation.
• rotate around takes an angle in degrees and a coordinate. This rotates around the given coordinate by that angle.

The following command draws a filled triangle that is rotated around the origin by 45 degrees:

\fill[orange, rotate=45] (0,1) -- (3,1) -- (2,2) --cycle;

You can compare it with the original triangle, filled with the color gray in the following figure:

Figure 11.1 – Rotating a triangle around the origin

This command also rotates the triangle by 45 degrees, but around the coordinate (0...