More Voronoi tools

What is a Voronoi pattern?

A Voronoi pattern is made of cells grown around scattered points: every spot inside a cell is closer to that cell's point than to any other. Leave a gap between the cells and round their corners, and the result looks like cracked mud, giraffe skin, a dragonfly wing or a leaf's veins — which is why the pattern is so popular in product design, architecture and generative art.

How to use the pattern generator

  1. Set the number of cells. Fewer cells give bold shapes; hundreds give a fine mesh.
  2. Set Regularity. At 0 the cells are random and varied; each step of Lloyd relaxation evens them out.
  3. Adjust the gap and corner radius until the cells look the way you want.
  4. Pick a format and a color mode: palette, one solid color, or outlines only.
  5. Press New seed to try another layout with the same settings.

Ideas for Voronoi patterns

How the settings work

The generator scatters points with a seeded random generator, so the same seed and settings always give the same layout. Regularity runs Lloyd's algorithm, which moves every point to the centroid of its cell; after about ten steps the pattern approaches a centroidal Voronoi tessellation. The gap moves every cell edge inward by half the gap, and corners are then rounded with the largest radius that still fits each corner.

Want to see the relaxation step by step? Try the Lloyd relaxation tool. For a pattern that follows a photo, use Image to Voronoi Mosaic.

Frequently asked questions

What is a Voronoi pattern?

A Voronoi pattern is a set of cells grown around scattered points, where each cell holds the area closest to its point. With a gap between cells and rounded corners it looks like cracked earth, giraffe skin or a dragonfly wing.

How do I make the cells more even?

Raise Regularity. Each step moves every point to the center of its cell (Lloyd relaxation), so cells become closer in size and shape. Zero keeps the pattern fully random.

Can I get the same pattern again?

Yes. The pattern is fully determined by the seed and the settings. Note the seed number, or keep the page open — your settings are remembered in this browser.

What gap should I use for laser cutting?

The gap becomes the material left between holes, so it should be at least as wide as the thinnest strip your material can hold — often two to three times the sheet thickness. Rounded corners also reduce stress points.

All Voronoi tools