Pythagoras Tree Generator
Generate beautiful recursive Pythagoras fractal trees with custom depth, angles, branch ratios, and stunning color gradients.
Presets
Curated tree configurations
Tree Parameters
Depth, angles & branch ratios
Styling & Backdrop
Colors, stroke & background
Scroll to zoom · Drag to pan · Press ▶ to animate growth
Professional Pythagoras Tree Generator for Everyone
A professional Online Pythagoras Tree Generator that produces stunning recursive fractal trees with full parametric control. Adjust recursion depth (up to 14 levels), left and right branch angles independently, branch scale ratios, and trunk length to create everything from perfect symmetric classic trees to wind-swept asymmetric ferns, willow silhouettes, and exploding fractals. Choose from 8 curated presets or design your own with solid, gradient, or rainbow color modes, tapered branch widths, and a choice of four canvas backgrounds. Animate the tree growing branch-by-branch, pan and zoom the interactive canvas, then export your artwork as lossless PNG or scalable SVG vector — all processed privately in your browser.
Key Benefits
Why choose our Pythagoras Tree Generator for your workflow?
Infinite Variety: Independent left/right angles and scales produce billions of unique trees.
Visual Learning: Watch recursion unfold branch by branch with the growth animation.
Print-Ready Output: SVG export scales to any resolution without quality loss.
Completely Private: Your tree parameters and artwork never leave your browser.
Common Use Cases
Real-world examples of how to use this tool.
Digital Art: Create unique fractal tree artworks for prints, wallpapers, and posters.
Education: Visualize binary tree recursion, self-similarity, and fractal mathematics.
Game Assets: Generate stylized procedural tree silhouettes for 2D games and UI.
Nature Studies: Explore how small angle changes radically alter the overall tree shape.
How to use Pythagoras Tree Generator?
Follow these simple steps to get the best results.
Select a preset from the Presets panel or start from scratch.
Adjust the Recursion Depth slider (higher = more branches, more detail).
Set Left and Right Branch Angles to control the tree's spread and direction.
Fine-tune Left and Right Branch Scale to control how much each level shrinks.
Toggle Tapered Branches for natural trunk-to-tip width tapering.
Choose a Color Style (Solid, Gradient, or Rainbow) and pick your colors.
Press ▶ to animate the tree growing, or scroll/drag to explore the canvas.
Click Download PNG or SVG to export your fractal artwork.
Frequently Asked Questions
Common questions about our Pythagoras Tree Generator tool.
What is a Pythagoras tree?
A Pythagoras tree is a plane fractal constructed from squares. At each step, a square is attached to the hypotenuse of a right triangle built on top of the previous square, with the left and right legs producing two smaller squares — and so on recursively. In our generator we simplify this to pure branch-line recursion, which is the canonical artistic representation.
Why does higher depth slow rendering?
The total branch count is 2^(depth+1) - 1 for a symmetric tree. At depth 14 this can reach over 32,000 branches. Rendering is fast, but building the branch data and drawing all strokes takes proportionally longer. We recommend depth ≤ 12 for smooth real-time interaction.
How do branch scale ratios affect the tree?
The branch scale ratio controls what fraction of a parent branch's length each child inherits. A ratio of 0.707 (1/√2) is mathematically special: it produces the classic symmetric tree where all squares in the original Pythagoras construction have equal area. Ratios above 0.9 make branches barely shrink, creating a very dense fractal; ratios below 0.5 cause rapid convergence into tight clusters.
Can I make the tree look like a real plant?
Yes! Try asymmetric angles (e.g., left 70°, right 20°) with ratios around 0.75 / 0.5 and a green gradient from root to tip with Tapered Branches enabled. This mimics the Lindenmayer-style botanical fractal forms seen in nature.
Is my artwork stored anywhere?
No. The entire tree computation and canvas rendering runs inside your browser using JavaScript and the HTML5 Canvas API. Nothing is sent to any server.
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