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 objects can be changed (or transformed). Any object formed by several vectors may be mapped to an arbitrarily bizarre curved or distorted object — here, we are interested in those maps that map vectors to vectors and are “benign” in some well-defined sense. All these maps may be described using the tools of matrix operations. An interesting pattern is generated from a simple square in Figure 4.1 by such “benign” 2D linear maps. Linear maps in 20: an interesting geometric figure constructed by applying 20 linear maps to a square. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315275550/d5c06179-3b1b-40ef-b4b2-1cf703cc32a4/content/fig4_1_OB.jpg"/>
