Symmetry in Chaos A Search for Pattern in Mathematics, Art and Nature

Symmetry suggests order and regularity whilst chaos suggests disorder and randomness. Symmetry in Chaos is an exploration of how combining the seemingly contradictory symmetry and chaos can lead to the construction of striking and beautiful images. This book is an engaging look at the interplay of art and mathematics, and between symmetry and chaos. The underlying mathematics involved in the generation of the images is described. This second edition has been updated to include the Faraday experiment, a classical experiment from fluid dynamics which illustrates that increasing the vibration amplitude of a container of liquid causes the liquid to form surface waves, instead of moving as a solid body. This second edition also includes updated methods for numerically determining the symmetry of higher dimensional analogues of the images. As well as this, it contains new and improved quality images.

1. Introduction to symmetry and chaos; 2. Planar symmetries; 3. Patterns everywhere; 4. Chaos and symmetry creation; 5. Symmetric icons; 6. Quilts; 7. Symmetric fractals; Appendix A. Picture parameters; Appendix B. Icon mappings; Appendix C. Planar lattices; Bibliography; Index.

A striking full-colour book which explores how combining symmetry and chaos can lead to the construction of remarkable images. This book is an engaging look at the interplay of art and mathematics, and between symmetry and chaos. The underlying mathematics involved in the generation of the images is described.