The mathematics and the art of crochet in the world of illusions

Abstract

When, around 1800, the French El eonore Riego de la Branchardi ere began to draw embroidery patterns to crochet that could be used and reproduced by enthusiastic followers of this technique, she was far from thinking that, stitch by stitch, round by round, crochet paves the plane and the plane paved is confused with 3D space. This work illustrates how to apply Mathematics to art of crochet harmoniously and how crochet can be an interactive view of Mathematics. We present some optical illusions created by the perfect combination of skill and the beauty of crochet and the abstract world of Mathematics.