Generate a Quaddragon Curve
Draw a quaddragon fractal. Runs entirely in your browser, so your data never leaves your device.
Output
The result appears here as you type.
How to use Generate a Quaddragon Curve
- 1. Set the iteration count. Choose Iterations for how detailed each of the four dragon arms becomes. A 10-iteration quaddragon already shows the pinwheel arrangement of arms clearly.
- 2. Size the canvas. Set Width (px) and Height (px) to fit the four-armed pinwheel shape, keeping the canvas roughly square since the arms radiate symmetrically from the center.
- 3. Pick colors and line width. Choose Line color, Background color and Line width to control whether the four individual dragon arms stay visually distinct or blend into one pinwheel silhouette.
- 4. Review the rendered pinwheel. The tool chains four Heighway dragons around a shared center into a four-fold pinwheel, drawn as an SVG. Save it once the arm count and detail level look right.
When to use Generate a Quaddragon Curve
Generate a Quaddragon Curve chains four Heighway dragon curves around a common center, producing a four-fold pinwheel arrangement. It extends the single dragon curve into a symmetric composite shape, similar in spirit to the six-armed hexadragon but with four arms instead of six.
- Extending dragon curve coursework to composite shapes. After the standard dragon curve, showing how four copies combine into a pinwheel demonstrates that composing multiple fractal curves under rotation is itself a distinct technique worth studying.
- Comparing four-fold and six-fold dragon arrangements. Render the quaddragon next to the hexadragon at matching iteration counts to show how the number of arms changes the overall rotational symmetry of the resulting shape.
- Designing a four-fold symmetric pattern. A textile or tile design that wants four-fold rotational symmetry can use the quaddragon as a mathematically precise starting shape instead of a manually drawn pinwheel.
- Producing a figure for a fractal composition paper. A paper discussing how dragon-curve variants combine under rotation needs a correctly labeled quaddragon figure at a specific iteration count.
Examples
A 10-iteration quaddragon
Output
An SVG drawing of four Heighway dragons chained around a center into a four-fold pinwheel.
About the Generate a Quaddragon Curve tool
Generate a Quaddragon Curve runs as plain JavaScript in your browser tab, with no server behind it. Draw a quaddragon fractal. Whatever you put in stays on your device from start to finish.
The tool is part of EditSafely's Math Tools section, 234 single-purpose utilities built around the same idea: open the page, get the result, keep your data to yourself.
You can shape the output with 6 settings, including Iterations, Width (px), Height (px) and Line color, and the result refreshes the moment you change one. A worked example further down the page shows exactly what the tool produces for a real input.
That local-first design has practical benefits beyond privacy. The tool keeps working on a flaky connection once the page has loaded, results are instant because nothing round-trips to a server, and it is safe to use with confidential material.
Frequently asked questions
Is Generate a Quaddragon Curve free to use?
Yes, it is completely free. All 2,658 tools on EditSafely work without an account, a subscription or usage limits.
Does the generator send anything to a server?
Everything happens locally. Your browser downloads the tool's code once, then does all the processing itself; nothing you enter is transmitted, stored or logged. You can even go offline after the page loads and it will still work.
How do I get a different result?
Run the generator again. Each run is computed fresh on your device, and any options you change are applied to the next result immediately.
Do I need to sign up or install anything?
No. The tool works in any modern browser on desktop, tablet or phone. There is no account to create, no extension to add and no software to install.
Can I save what the tool produces?
Yes. Use the download or copy controls in the output panel to keep the rendered result once it looks the way you want.