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fractal-tree

A fractal tree is a recursive branching structure: each branch sprouts two (or more) shorter sub-branches at a fixed angle, repeating to a chosen depth. With the right parameters, the result resembles a real tree, a snowflake, or a vascular network. Mathematically, fractal trees illustrate self-similarity and recursion. The ZTools Fractal Tree Generator builds the structure live in SVG: pick angle, ratio, depth, colour, and stroke width — get a clean vector you can drop into a poster, slide, or website.

Use cases​

Decorative SVG for a hero section​

A subtle fractal tree adds organic visual interest to a tech-themed landing page without using stock photography.

Teaching recursion​

Students see what "depth N" means visually — increment depth one level at a time and watch the tree grow exponentially.

Generative art​

Tweak angle (15° vs 35°) and ratio (0.7 vs 0.5) to discover wildly different shapes from the same algorithm.

Data viz metaphor​

Use the tree shape to visualise a hierarchy or decision tree where exact node positions don't matter.

How it works​

  1. Set parameters — Branch angle (each split, e.g. 30°), length ratio (each child = 0.7× parent), depth (5-12 typical), trunk thickness, colour gradient.
  2. Render SVG — Recursive draw — start at trunk, draw two angled lines at the top, recurse on each. SVG paths drawn live as you tweak.
  3. Export — Download as SVG for vector use, or PNG via the browser's rasteriser.

Examples​

Input: angle 25°, ratio 0.7, depth 10

Output: ~2,047 line segments arranged in a balanced tree shape. Naturalistic.

Input: angle 60°, ratio 0.6, depth 8

Output: Snowflake-like structure with wide branches.

Input: angle 45°, ratio 0.5, depth 11

Output: Sparse, diamond-like fractal with clear self-similarity.

Frequently asked questions​

Why does depth 15 freeze the browser?

Depth N produces 2^N − 1 branches: depth 12 = 4,095, depth 15 = 32,767. Beyond depth 13, SVG path counts cause rendering lag. Stay 10-12 for interactive use.

Can I get asymmetric trees?

Toggle "stochastic" mode — each split varies the angle and ratio slightly with a seeded PRNG. Result looks more natural / less geometric.

How do I make it look like a real tree?

Angle 20-30°, ratio 0.65-0.75, stochastic on, depth 9-11. Add a colour gradient from brown (trunk) to green (leaves).

Privacy?

All in browser.

Tips​

  • Toggle stochastic mode for naturalistic trees; off for geometric / mathematical fractals.
  • Export SVG, not PNG — vector scales infinitely. PNG locks you into a fixed resolution.
  • For posters, depth 11+ at 4096 px wide gives wall-art quality.
  • Combine two trees at different positions for a dense forest effect.

Try it now​

The full fractal-tree runs in your browser at https://ztools.zaions.com/fractal-tree — no signup, no upload, no data leaves your device.

Open the tool ↗

Last updated: 2026-05-06 · Author: Ahsan Mahmood · Edit this page on GitHub