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L-System Plant Growth (2D)

Interactive 2D L-system plant growth: a formal string-rewriting grammar (axiom + rules) is expanded iteration by iteration, then a turtle interpreter draws the result as branches and leaves. Choose a plant type, iteration count and branching angle.

Mathematics2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

This 2D canvas reimplements a real Lindenmayer-system grammar engine: an axiom string is rewritten iteration by iteration according to a per-species rule set, then a turtle interpreter walks the finished string to draw branches (F), turns (+/-), and stack pushes/pops ([/]) as a growing crown with leaves at every branch tip. Switch between Bush, Tree and Fern to see genuinely different grammars — not just a rescaled tree — and adjust iteration count, branching angle, segment length and growth speed to watch the string-rewriting process unfold live.

⚙ Under the hood

A 2D canvas L-system engine: an axiom string is rewritten by grammar rules over several iterations, then a turtle interpreter draws the result as a branching, leafy plant with a Bush, Tree or Fern preset.

L-SystemGrammar RewritingTurtle GraphicsBranchingPlant Growth

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install