GoKawiilDeveloper Shares Shadertoy Technique for Fractal Voronoi Coastlines
A developer published a Shadertoy demo introducing a recursive variant of jittered Voronoi diagrams that produces fractal-like cell boundaries, similar in spirit to Worley noise. The method works by generating hierarchical layers of randomly jittered grid points, each finer layer tracing its 'parent' site in the coarser layer above, so that following parent links upward defines each cell's fractal boundary without needing to explicitly build a Voronoi diagram.
GoKawiil's interpretation of the reporting above, not reported fact.
This technique offers a computationally efficient way to procedurally generate natural-looking, irregular boundaries—useful for terrain, coastline, or texture generation in graphics and game development. Because it avoids constructing full Voronoi diagrams and only samples a bounded number of relevant grid cells per point, it's practical for real-time shader-based rendering.
- The method extends jittered Voronoi/Worley noise into a multi-layered, recursive structure for fractal cell edges.
- Each layer's sites link to a 'parent' site in the coarser layer, and boundaries emerge from tracing these parent chains.
- The approach is efficient because only a limited number of nearby grid cells need evaluation at each recursion level, making it feasible for real-time shader use.
The Fractal Geometry of Nature by Benoit Mandelbrot — Mandelbrot's classic is the definitive deep dive into why coastlines look the way they do, which is exactly the fractal intuition behind these jittered Voronoi partitions. It's packed with striking illustrations and the mathematical reasoning that inspired generations of procedural graphics work. A perfect shelf companion for anyone tinkering with noise functions on Shadertoy.
See The Fractal Geometry of Nature by Benoit Mandelbrot on Amazon → Affiliate link — we may earn a commission on purchases, at no extra cost to you. Product picked by AI based on this article; it is not a tested recommendation.Source: boristhebrave.com, 2026-08-29
Published there as: “Fractal Jittered Voronoi Partitions”
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