Post #2454875

The construction involves defining a fractal colouring of the plane, and sampling from the fractal using points in a lattice (the vertices of a tiling by equilateral triangles). @pieter@mathstodon.xyz asked about visualizing the result of sliding the lattice relative to the fractal, which should cause whole sections of the tiling to "flip" from one configuration to another as collections of sample points move from one region of the fractal into another (like Conway Worms in the Penrose tiling). Here's a visualization of that on a very zoomed-out tiling. It's neat! (It also looks slightly glitchy, which might be an inevitable consequence of floating-point error.)