Chapter 2: BORDER PATTERNS



This chapter consists of a very intuitive, but rather comprehensive at the same time, introduction to border patterns. The presentation is wholly geometrical and almost entirely self-contained: the material is presented in such a way that it may in fact be used to introduce planar isometries (with the exception of rotations other than the half turn). Emphasis is placed on the relations among the seven different types of border patterns and on how one could 'pass' from one type to another. Just like in the rest of the book, no Group Theory is involved; still, a 'rough classification' of border patterns is presented.