Home▸Mathematics▸Pythagoras Tree (2D)

🌳 Pythagoras Tree (2D)

A 2D Canvas simulation of the Pythagoras tree fractal, built from real squares and right triangles per the Pythagorean theorem. Adjust recursion depth, branch angle and lean, and watch it grow.

Mathematics2DEasy60 FPS📱 Mobile-adapted⇄ 3D version

Details

CategoryMathematics

RenderingCanvas 2D

DifficultyEasy

Target FPS60

ControlsGrow button — restarts the level-by-level growth animation, Pause/Resume button — freezes or resumes the animation, Reset button — restores default depth, angle, lean and speed, Recursion Depth slider — sets how many fractal levels are built, Branch Angle slider — sets the Pythagorean split angle at each square, Lean slider — tilts the split point for asymmetric growth, Grow Speed slider — controls how fast each level appears, Palette dropdown — switches between Forest, Autumn, Crystal and Neon color styles

FractalRecursionGeometryPythagorean TheoremCanvas2D

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⚙ Under the hood

A 2D Canvas simulation that builds the Pythagoras tree fractal from real recursive squares: each square spawns two smaller child squares along the legs of a right triangle erected on its top edge, following the Pythagorean theorem a squared plus b squared equals c squared. Adjust recursion depth, branch angle, lean and grow speed, and watch the tree build level by level.

FractalRecursionGeometryPythagorean TheoremCanvas2D

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