Apollonian Gasket by Lumen & Logic

Apollonian Gasket

Lumen & Logic

See it in the room

An Apollonian gasket: three mutually tangent circles inside a bounding circle, with every curvilinear gap recursively filled by its unique inscribed tangent circle. Curvatures obey Descartes' Circle Theorem k₄ = k₁+k₂+k₃ ± 2√(k₁k₂+k₂k₃+k₃k₁) and centres its complex extension, so the whole fractal packing is forced by a closed-form equation. Discs are shrunk by a paper gap and coloured by recursion depth, size or angle.

Medium
Generative algorithm, archival pigment print
Dimensions
90 × 90 cm