Fractal Generator

Draw recursive curves, trees and sets, then export SVG or PNG.

Your data stays on this deviceGenerated locally, without an account or upload.

UTF-8 TXT or exported settings JSON; at most 1 MiB.

Choose settings, then generate.

Settings

FamilyIterations0–12Angle (°)1–179Branch / left ratio0.05–0.95Right ratio0.01–0.95Polygon sides1–12Frosty motifReverse motif along edgeInvert motif normalDendrite branchesPoint inward (starfish)Open branchesOpen rotation per branch (°)0–45Clockwise handednessRotation (°)-360–360Fill polygonsWidth (px)200–4096Height (px)200–4096Padding (px)0–150Line width (px)0.1–30Main colorAccent colorBackground

Understand the concept

A fractal repeats a construction at smaller scales. This generator draws finite stages: increasing the iteration count reveals more structure but also multiplies the drawing work. A curve, a filled set and a branching tree are different constructions.

What you can do

Choose classic curve, tree, Cantor, polygon and space-filling presets. Control iterations, orientation, colors and image dimensions; save the generated word when a rewrite grammar is used.

How to use

Choose a family and start with a low iteration count. Use the example to restore a manageable drawing.
Change size and colors, then generate. Ratio controls apply to trees and Cantor sets; angle applies to Cesàro and branching trees.
Inspect the result and numeric report. Download SVG for editable vectors, PNG for a fixed image, or JSON to restore these settings later.

Limits and common errors

At most 12 iterations, 500,000 expanded symbols and 100,000 drawing primitives; dense families reach limits earlier. The picture is a finite approximation. Presets use the displayed primary construction, not every artistic variant.

Frosty motifs use thirds of each edge, with perpendicular spikes and optional45°bends; depth0 is the base. McWorter uses72°six-segment substitution on1/5/6/8edges. Open rotation turns each branch about its midpoint by0–45°and disables gap-closing fills. This is a defined construction, not an exact copy of every artistic variant.

Frequently asked questions

Why does a higher iteration fail?

Many families grow exponentially: a Koch edge has 4ⁿ segments. Lower the depth; making the output image smaller does not reduce the number of mathematical segments.

Your data stays on this device?

Generated locally, without an account or upload.