Aperiodic patterns are not quite random but never quite repeat either. They have cropped up in art, maths and science for centuries. They have been found in the tiling on ancient Muslim temples and the crystalline microstructure of a meteorite, and they have been explored by intellectual greats from Johannes Kepler to Roger Penrose. Here we take our audience across the world and through the ages – from the world of shapes, sums and mathematical abstraction to the lab with experiments and simulations of quasicrystals – to feast your eyes, ears and mind on beautiful ideas using ballet, breakdancing and the pretty fractal patterns of Hofstadter’s butterfly. Think Misty Copeland meets Beat Street, Penrose, graphene and gorgeous ancient middle eastern tiling.