High-dimensional Knotting: An Illustrated Guide

Focused on concrete examples and constructions, and featuring extensive computer-generated 3D graphics, this book is a guide to methods and examples of higher-dimensional knotting. Written for non-specialists, it requires only modest mathematical background and provides substantial introductory material. Knotting, of interest from sculptors to sailors and now to mathematicians, biologists, and physicists, helps us understand higher dimensions. The book explores knotting in 4- dimensional space — surfaces such as spheres, tori, and Klein bottles — and in 5 dimensions, the tangling of 3-dimensional objects. Techniques for visualizing these higherdimensional phenomena are presented in detail.