ABSTRACT
Geometry always has two parts to it: one part is the description of the objects that can be generated; the other investigates how these
object formed by eral vectors may be mapped to an arbitrarily bizarre curved or distorted object-here, we are interested in those maps that map 2D vectors to 2D vectors and are “benign” in some well-defined sense. All these maps may be described using the tools of matrix operations, or linear maps. An interesting pattern is generated from a simple square in Figure 4.1 by such “benign” 2D linear maps-rotations and scalings.
