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Visual Gallery

Chaos maps

How repeating a simple formula moves from order to chaos, drawn as bifurcation and cobweb diagrams.

Palette

  • Black#05060A · 82%
  • Cyan#3FD9EC · 9%
  • Green#5BE38A · 6%
  • Crimson#E0405A · 3%

Visual traits

  • A cloud of fine points traces how the long-run value of a formula splits as a parameter grows: one branch, then two, four, and a dense band
  • Inside the chaotic band, thin empty windows appear where order briefly returns
  • A zigzag cobweb line bounces between a curve and a diagonal line beside it
  • Fine glowing points and lines on black, without axes or labels
  • In motion, the parameter sweeps and the cobweb settles or wanders

Prompt

Chaos map: a bifurcation diagram of fine glowing points splitting from one branch into two, four and a dense chaotic band with thin empty windows, beside a zigzag cobweb line bouncing between a curve and a diagonal, cyan and green on black, without axes or labels. As video, the parameter sweeps.

Negative prompt

graph paper, axes and numbers, textbook figure, thick lines, white background