Apollonian Gasket
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At each step, inscribe new tangent disks into each open curvilinear triangle. These open regions fill up quickly, leaving a fractal of infinitely many points that are never in any circle.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Apollonian Gasket"
http://demonstrations.wolfram.com/ApollonianGasket/
Wolfram Demonstrations Project
Published: March 7 2011