Lost in the Voronoi

Lost in the Voronoi

When Georgy Feodosevich Voronoy worked on continuous fractions in the end of the XIXth century, he was far to imagine what sort of beauty and fascination his iterative techniques would spawn a century or so later. Tiling space has been an obsession since the remotest ages, but the emergence of cheap computing power has made this a favourite turf for the hobbyist and digital artists from all horizons.

Voronoi tessellations captivate because of their direct affinity with organic phenomena. 3 parent sites office to set the stage for untiring cell divisions, based on the mere logic of equidistance. Spawn, spawn, spawn … and very quickly you’ll be losing yourself within the turbulent mazes of the Voronoi, in an exhilarating journey towards the infinitely small.

  • Move your mouse around
  • Click to spawn a new cell
  • Press “c” to visualise cells contours (on/off)
  • Press “r” to generate random colours

A random outcome of the Voronoi, slightly brushed on Pixelmator. I call it Spidermoronoi!

The Spidermoronoi

According to Wikipedia

In mathematics, a Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane. That set of points (called seeds, sites, or generators) is specified beforehand, and for each seed there is a corresponding region consisting of all points closer to that seed than to any other. These regions are called Voronoi cells. The Voronoi diagram of a set of points is dual to its Delaunay triangulation. Put simply, it’s a diagram created by taking pairs of points that are close together and drawing a line that is equidistant between them and perpendicular to the line connecting them. That is, all points on the lines in the diagram are equidistant to the nearest two (or more) source points.

It is named after Georgy Voronoy, and is also called a Voronoi tessellation, a Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav Lejeune Dirichlet). Voronoi diagrams have practical and theoretical applications to a large number of fields, mainly in science and technology but even including visual art.

Technologies: Javascript, Paperscript

Code stolen from Raymond Hill, for the core Voronoi class.

Music: Les sessions du Bastidon #3, Radio Meuh