Apollonian crystal

An Apollonian crystal is a type of fractal structure formed by repeatedly filling the gaps between circles in a geometric pattern. Named after the ancient mathematician Apollonius, this process creates increasingly intricate designs that can be found in nature and mathematics. In essence, each step adds more circles, filling spaces efficiently without overlapping, leading to complex shapes with unique properties. Apollonian crystals illustrate how simple rules can produce elaborate forms, highlighting the intersection of art, nature, and mathematics. They are fascinating examples of how order can emerge from chaos.