Draw Spirals
Archimedean, Euler, Fibonacci, Theodorus, Fermat. Runs entirely in your browser, so your data never leaves your device.
Output
The result appears here as you type.
How to use Draw Spirals
- 1. Pick a spiral type. Choose Archimedean, Fermat, Euler (clothoid), Fibonacci or Theodorus from the Spiral setting, each defined by a different mathematical rule for how the curve winds outward.
- 2. Set the turns or triangle count. Enter a value in Turns for most spirals to control how many times the curve winds around, or Triangles for the Theodorus spiral to set how many right triangles are drawn.
- 3. Adjust the canvas and styling. Set Width and Height for the drawing, and choose Line color and Background color along with Line width to style the rendered spiral.
- 4. Download the image. Save the rendered SVG spiral to illustrate a geometry lesson, a piece of generative art, or a comparison between different spiral families.
When to use Draw Spirals
Draw Spirals renders five classic spiral curves, Archimedean, Fermat, Euler, Fibonacci and Theodorus, each with its own governing equation. Use it to compare their shapes or produce a single spiral for a lesson or design.
- Comparing spiral families for a geometry lesson. A course on polar equations covers several named spirals, and rendering each one at the same size lets students see how their winding rates differ visually.
- Illustrating the Fibonacci spiral's connection to phi. You are writing about the golden ratio's appearance in nature and want a rendered Fibonacci spiral to accompany the discussion of the underlying sequence.
- Explaining the spiral of Theodorus construction. A geometric construction built from successive right triangles, the spiral of Theodorus, is easier to explain with a rendered image showing the triangles accumulating outward.
- Designing a clothoid-based curve reference. An engineering note on road or track curvature transitions references the Euler clothoid spiral, and a rendered example clarifies how its curvature changes along its length.
Examples
A 4-turn Archimedean spiral
Output
An SVG drawing of the spiral r = a·θ.
About the Draw Spirals tool
Draw Spirals runs as plain JavaScript in your browser tab, with no server behind it. Archimedean, Euler, Fibonacci, Theodorus, Fermat. 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 8 settings, including Spiral, Turns, Triangles and Width (px), 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
Does Draw Spirals 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.