Generate a Hexadragon Fractal
Draw a hexdragon curve. 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 Hexadragon Fractal
- 1. Set the iteration count. Choose Iterations to control how detailed each of the six dragon arms becomes. Around 6 iterations already shows the rosette symmetry clearly without excessive density.
- 2. Size the canvas. Set Width (px) and Height (px) to fit the full rosette. Since the shape radiates from a center point in six directions, a roughly square canvas usually works best.
- 3. Pick colors and line width. Choose Line color, Background color and Line width to control how distinct the six individual arms look versus how the rosette reads as a single unified shape.
- 4. Review the rendered rosette. The tool arranges six terdragon arms rotated 60 degrees apart around a shared center as an SVG. Save it once the symmetry and detail level look right.
When to use Generate a Hexadragon Fractal
Generate a Hexadragon Fractal arranges six terdragon curves rotated evenly around a center point, forming a six-fold rosette. It extends the dragon curve family into a symmetric arrangement rather than a single folded line.
- Extending dragon curve coursework. After covering the standard dragon and terdragon curves, showing how six terdragons combine into a rosette demonstrates how simple curves can be composed into symmetric patterns.
- Designing six-fold symmetric artwork. A mandala-style design or textile pattern benefits from the hexadragon's natural six-fold rotational symmetry, giving a mathematically grounded starting shape instead of a hand-drawn approximation.
- Illustrating fractal composition techniques. The hexadragon shows students that combining multiple copies of one fractal curve under rotation is itself a technique, distinct from just increasing a single curve's iteration count.
- Building a rosette for a generative art series. A series exploring rotational symmetry in fractals needs the hexadragon rendered at a fixed iteration count alongside pentaflake or hexaflake variants for visual comparison.
Examples
A 6-iteration hexadragon
Output
An SVG drawing of six terdragon arms rotated 60 degrees apart around a common center.
About the Generate a Hexadragon Fractal tool
Generate a Hexadragon Fractal is a free online tool that works entirely inside your web browser. Draw a hexdragon curve. Because the processing happens on your own device, nothing you enter is uploaded, logged or stored anywhere.
This page is one of 234 Math utilities on EditSafely. Each one does a single job well, and all of them follow the same rule: your input stays on your machine.
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.
Because nothing leaves your device, the tool is suitable for sensitive content such as internal documents, credentials or customer data. It also responds instantly, since every keystroke is handled on your own machine rather than by a remote API.
Frequently asked questions
Does Generate a Hexadragon Fractal cost anything?
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?
No data leaves your device. The whole tool is JavaScript that runs inside your browser tab, so there is no upload, no server-side processing and no log of what you did. If you disconnect from the internet after the page loads, it keeps working.
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?
Nothing to install and no account needed. Open the page in any up-to-date browser, including on a phone or tablet, and the tool is ready.
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.