Go far beyond circles and squares — non-Euclidean geometry, topology, Möbius strips, Klein bottles, fractals, Mandelbrot sets, higher-dimensional polytopes, knot theory, tessellations, minimal surfaces, impossible objects, oblate spheroids and quadrics, prisms and pyramids, cones, cylinders, ruled and developable surfaces, higher-genus surfaces, polyhedron compounds and stellations, Catalan solids, space-filling honeycombs, Goldberg polyhedra, superquadrics, exotic plane curves, and the shapes that break intuition. 40 units, 600 lessons.