Two kinds of extensions to David Lewin's transformation theory are proposed. First, cross-type transformations transform one sort of object to another: for instance, mappings from triads to seventh ...

Learn about three different types of transformations and about line symmetry.

Transformations change the size or position of shapes. The 4 transformations of 2D shapes that you should know are covered in M5, M6 and M7: translation – moving a shape in a straight line ...

You can use the Edit Variables dialog to create other types of transformations. Most transformations require one selected variable, as in the previous example. Here is an example using two variables.