Apollonian gasket
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In mathematics, an Apollonian gasket, Apollonian net, or Apollonian circle packing is a fractal generated by starting with a triple of circles, each tangent to the other two, and successively filling
Apollonian sphere packing
Möbius transformation
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In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form f = a z + b c z + d of one complex variable z; here the coefficients a, b, c, d are co
Apollonian gasket
…decimal places. Because it has a well-defined fractional dimension, even though it is not precisely self-similar, it can be thought of as a fractal. The Möbius transformations of the plane preserve the shapes and tangencies of circles, and therefore preserve the structure of an Apollonian gasket. Any two triples of mutually…
Mobius Identity
Mobius Small Neg Elliptical
Mobius Large Pos Elliptical
Mobius Small Neg Hyperbolic