Kento Nakamura

This film shows Circle Inversion Fractals. Nesting disks are transformed images of disks by iterations of the circle inversions. The movement of the disks is synchronized with music. In 19th-century, a German mathematician Felix Klein and his student drew this kind of figures by hand. Now, we can render them with a computer. I developed the fast rendering algorithm called Iterated Inversion System. Thanks to the algorithm, I could render such complicated fractals in real-time and explore them interactively.