Generate a Triflake Curve
Draw a triflake 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 Triflake Curve
- 1. Set the iteration count. Choose Iterations for how detailed each of the three Koch snowflakes becomes. A 3-iteration triflake already shows the recognizable triforce-like arrangement clearly.
- 2. Size the canvas. Set Width (px) and Height (px) to fit all three touching snowflakes, keeping the canvas roughly triangular in overall aspect ratio to match the arrangement.
- 3. Pick colors and line width. Choose Line color, Background color and Line width to keep the three individual snowflakes distinguishable while still reading as one combined shape.
- 4. Review the rendered triflake. The tool arranges three touching Koch snowflakes in a triforce-like pattern as an SVG. Save it once the iteration count and colors look the way you want.
When to use Generate a Triflake Curve
Generate a Triflake Curve arranges three Koch snowflakes touching at their corners in a triangular arrangement reminiscent of a triforce symbol. It extends the single Koch snowflake into a composite shape built from three copies, similar in spirit to how the hexadragon combines multiple dragon curves.
- Extending Koch snowflake coursework to composite shapes. After covering the standard Koch snowflake, showing three of them arranged together demonstrates that composing multiple copies of a familiar fractal is itself a worthwhile technique.
- Designing a triforce-inspired pattern. The triflake's three-snowflake arrangement naturally resembles a triforce shape, making it a popular choice for game-inspired fan art or a triangular badge design.
- Illustrating symmetric composition of fractals. A lecture on building complex patterns from simpler repeated units can use the triflake to show how three identical Koch snowflakes combine into a larger symmetric whole.
- Producing a comparison figure for fractal composition. Place the triflake alongside the hexadragon and quaddragon in a paper discussing multi-copy fractal arrangements to show different ways of combining a base curve.
Examples
A 3-iteration triflake
Output
An SVG drawing of three touching Koch snowflakes arranged like a triforce.
About the Generate a Triflake Curve tool
Generate a Triflake Curve runs as plain JavaScript in your browser tab, with no server behind it. Draw a triflake 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 Triflake 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.