An Apollonian gasket, also called an Apollonian net or Apollonian circle packing, is a fractal generated by starting with three mutually tangent circles and successively filling in further circles, each tangent to three others already in the figure. It is named after the Greek mathematician Apollonius of Perga.
Facts
Partially Attested
Origin YearEarliest known written description per this source; the name honors the ancient Greek mathematician Apollonius of Perga, and the first modern mathematical definition was later given by Kasner and Supnick. Connections
Attributed To
Source Wikipedia: Apollonian gasket
In Branch
Source Wikipedia: Apollonian gasket
Is Kind Of Object
Sources
1. Wikipedia: Apollonian gasket
History section
the earliest description of the gasket is from 1706 by Leibniz in a letter to Des Bosses
Introduction (lede paragraph)
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 in more circles, each tangent to another three
Attributed To: Apollonius of Perga, Lead section
It is named after Greek mathematician Apollonius of Perga.
In Branch: Geometry, Lead section
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
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