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Javascript implementation of Steven Fortune's algorithm to compute Voronoi diagrams
Demo 3: Fancy tiling

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Canvas

 

1st-degree generators

(This page works best on latest Opera browser: I measured fastest execution + it natively supports HTML5 color picker)
Color: ?
h v
Steps

Offset

Rot

Color:
h v
Steps

Offset

Rot

Color:
h v
Steps

Offset

Rot

Show grout
Show Voronoi sites
Presets:

Permalink for the above Voronoi diagram

Export as SVG

Coming soon (I guess...)

Further reading

Voronoi diagrams and ornamental design (PDF file) by Craig S. Kaplan.
Mathematical imagery by Jos Leys.