👉 Apollonian groups, also known as Apollonian clefts or Cleft Apollonius' circles, are a family of fractal structures that are named after the mathematicians Apollonius and L. A. Klein. These fractals are characterized by their smooth appearance but exhibit interesting geometric patterns due to their self-similarity. Apollonian groups can be thought of as the result of a series of concentric circles which are connected together in such a way that they
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