Materials were written for an entire year's course in geometry in which transformations were used to develop the concepts of congruence, similarity, and symmetry, as well as being a vehicle for proof.

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 ...

Abstract: The problem of forming a latent feature space through nonlinear transformations of different type features is considered. Two types of transformations are used: the replacement of gradations ...