math art

[Partial preceding tweet, cut off at top]: "...generator companies. ..." 250 replies, 542 reposts, 6.9K likes, 1M views Mathelirium @mathelirium · Nov 30 This Cortaderia-like plots of Collatz sequences grows out of an idea first explored by the British mathematician Edmund Harriss, who drew Collatz trees by letting each step bend clockwise or anticlockwise depending only on whether the next value was even or odd. Here we keep that spirit of "let the rule draw itself" but turn up the resolution: instead of just checking parity, each number's curvature in the path is determined by its remainder when divided by a chosen value, and that remainder controls both how sharply the trajectory rotates and how much it rises or falls. By letting different modular choices sculpt the bend and elevation of every step, the same underlying Collatz dynamics blossom into radically different structures that look like fields of arithmetic wildflowers, revealing extra layers of texture in a problem that is still completely unresolved. #CollatzConjecture #MathArt #ModularCurvature #NumberTheory #DataVisualization [Image: "Collatz Sequence Curvature On Division by 89" — a swirling pink/purple/yellow plume of curved trajectory lines resembling a plant or feather, on black background]