This book is the first of a series which will present new theories and methods of braiding. Each book will treat one or more types of braid, and will give methods and formulae which will enable artisans to produce similar braids of their own design. This book gives many examples and exercises, to give readers chance to practise using the methods and become familiar with computing the weaving algorithms, but does not give practical details on braid production such as what kinds of tools and thongs to use.