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Mathematical Object

Apollonian Gasket

Geometry

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 Year
1706 1
Earliest 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.
Classification
Object Kind
Geometric Object 1
Connections

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

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
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