Plotter Geometry
Apollonian Gasket pen plotter drawing with the default settings

Packing

Apollonian Gasket

Circles packed into every gap between three tangent circles, forever (Descartes' theorem).

Pens

Recursive generations or circle sizes choose the color. Starts with 4 pens and works with anywhere from 1 to 8.

Settings

First circle (× outer), Second circle (× room left), Rotation°, Smallest radius (mm), Outer circle, Style, Fill spacing (mm), Eccentricity, Gap (mm), Pen per.

The preview uses the default settings on A4. Press R in the app for random variations. The SVG export is in millimetres with one Inkscape layer per pen, so it works with the AxiDraw extension, vpype and saxi.

More packing