Look at the family of symmetrical curves below, one of which is featured in Farris’ book as a “mystery curve”:
( Update: The solution is now available here.) Question 1: The puzzles below merely skim the surface of the connection between math and art that the book explores in depth, but they are designed to encourage all of our readers to create stunning visual patterns using mathematics. They are inspired by the more elementary parts of Farris’ book, which discusses different types of symmetries in wallpaper, friezes and Escher-esque morphing patterns using a host of mathematical techniques involving groups, vector spaces, Fourier series, rosette functions, wave functions and several others. I believe our ability to find beauty in both mathematics and art reveals something deep about the human mind, a topic we may explore in the solution column. His book uses the abstract, esoteric beauty of mathematical equations to create the universally appealing beauty of visual art. Vincent Millay, and Frank Farris shows us what that means. “Euclid alone has looked on Beauty bare,” wrote the poet Edna St.
Lavished with many beautiful illustrations of this kind, Farris’ book is a joyful yet serious exploration of how mathematics can create beautiful patterns and provide us with a deep understanding of symmetry, one of the underlying principles of great art.
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