Twists, Tilings, and Tessellations: Mathematical Methods for Geometric Origami (AK Peters/CRC Recreational Mathematics Series)

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field. "Written by one of the world's leading origami artists, [this book] describes the underlying principles and mathematics of the exciting field of geometric origami, most notably the field of origami tessellations. It contains design algorithms, folding instructions, and extensive discussion of the underlying mathematical principles and concepts, as well as many beautiful photos of the latest work from world masters in this fast-expanding field. Robert J. Lang has been an avid student of origami for over fifty years and is now recognized as one of the world's leading masters of the art. He is noted for designs of great detail and realism, and his repertoire includes some of the most complex origami designs ever created. His work combines aspects of the Western school of mathematical origami design with the Eastern emphasis upon line and form to yield designs that are at once distinctive, elegant, and challenging to fold. ... He is one of the pioneers of computational origami techniques, and has published widely on the theory and mathematics of folding."--Back cover This work describes the underlying principles and mathematics of the broad field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts and many photos of the latest work in this fast-expanding field. Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field