Technique · Geometry

Stipple and Delaunay portrait

Redraws the layers below as evenly spaced dots, a Delaunay triangle mesh, or both: darkness becomes density.

Stipple and Delaunay portrait is drawn geometry, rebuilt as it changes. Every piece on Synapse Drip is made from a recipe that layers techniques like this one, and you can change any of it in the Studio.

Good to know

  • Georges Seurat's A Sunday on La Grande Jatte (1884 to 1886) is built from dots of unmixed colour that the eye blends.
  • Francesco Bartolozzi popularised stipple engraving in London in the 1760s and 1770s.
  • The Wall Street Journal has run hand-stippled portraits, known as hedcuts, since 1979.
  • Stippling, shading with dots alone, is a craft of engravers and scientific illustrators; in 2002 Adrian Secord showed how to place the dots by weighted Voronoi relaxation.
  • A Delaunay triangulation maximises the smallest angle of its triangles; Boris Delaunay described it in 1934 using spheres that contain no other point.

The mathematics

  • Blue noise has no low-frequency energy, which is why it looks even without being a grid: no clumps and no gaps.
  • A triangulation of 5,200 points has at most 3n - 6 edges, so here at most 15,594 lines join the points.

In art

  • A portrait made of nothing but dots asks the viewer to do half the work, which is why it feels alive.
  • Pointillism relies on optical mixing: dots of different colours placed side by side blend into a new colour at a distance.

More ways to use it

Related techniques

L-system · Space colonisation · Diffusion-limited aggregation · Flow ribbons · Ridgelines · Curve families · Streamlines · Paint strokes

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