Are you interested in the interplay between art and mathematics? In this class, we will explore striking visual and spatial concepts that arise in sophisticated modern mathematics. We will do so without assuming any mathematical prerequisites. Topics include the structure of Moebius strips and solids; topology (the stretching and bending of space); the fourth dimension; the classification of the seventeen types of tiling patterns; flexagons; the mathematics of origami; the geometry of perspective; non-Euclidean geometry; and the mathematics of knitting and crochet. The course is specifically the art of mathematics, and not the mathematics of art: we will not be concerned with mathematical analysis of art, but rather with exploring striking visual and spatial ideas from mathematics which might be of artistic interest. Student work will be a combination of collaborative explorations, in and out of class, and independent projects. No mathematical background is assumed (but we will make the connections available for those who do have more background).