Manifold Mirrors

by Felipe Cucker

Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraint-based creation. The author provides both a development in geometry and a description of how these frameworks fit the creative process within several art practices. He furthermore discusses the perceptual effects derived from the presence of particular geometric characteristics. The book began life as a liberal arts course and it is certainly suitable as a textbook. However, anyone interested in the power and ubiquity of mathematics will enjoy this revealing insight into the relationship between mathematics and the arts.

Genres: Mathematics, Art

426 pages, Paperback

First published January 1, 2013

Reviews

[Andy Harris · Rating 4 out of 5]

I was given the hardcopy as a gift - I have an interest in maths, art no so much. Nonetheless it's an enjoyable & thorough academic study on links between the two. It's certainly not light reading but if you have an interest in the matter you may well appreciate it - especially if you pick a copy up at a good price. Noting the rrp for the hardback is pretty eye watering.