The Seduction of Curves – by Allan McRobie, a review
NB. I was sent this book as a review copy.
This is a beautiful book, it is a thought-provoking books and it is an informative book. It really is the intersection of mathematics, nature and art, and explores the three themes via the language of Catastrophe Theory, the theory by René Thom which aims to classify the possible folds in the solution space of natural systems and their two dimensional projections.
The book starts by introducing the alphabet of curves from the image of the human body, its curves and crevasses, its osculations and puckerings and from this alphabet it branches out to study the universe of catastrophes in the natural world.
As a fan/devotee/obsessive of atmospheric optics, the fold catastrophe which occurs in the production of the rainbow was bound to appeal to me. As Rene Descartes said in 1673:
…A single ray of light has a pathetic repertoire, limited to bending and bouncing (into water, glass or air, and from mirrors).