# Dragon curve generator

## World's simplest math tool

Free online dragon space-filling curve generator. Just press a button and you'll get a dragon fractal. There are no ads, popups or nonsense, just an awesome dragon fractal generator. Press a button – get a Heighway dragon curve. Created by math nerds from team Browserling.

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Dragon curve generator tool
What is a dragon curve generator?

This tool draws dragon curves — self-similar, space-filling, fractal-like curves. The dragon curve is also known as Harter-Banks-Heighway curve or Jurassic Park curve. We're generating it using L-system rules but another way to generate it by using a paperfolding sequence. You can change the color of the curve and its background and set the width and height of the space that curve fills. You can also specify how many iterations of the dragon curve to generate. Because computing the fractal is an expensive process, we limit it to 21 iterations. As computers get more powerful, we'll allow higher-order curves. Last but not least, you can specify curve's thickness and add padding around the edges so it looks nicer. Mathabulous!

Dragon curve generator examples
Click to use

Draw a Square Dragon Curve

This example generates an 11th order dragon curve. It also changes the width of the curve to 3px and sets space size to 500x500px.

**Required options**

Dragon curve's width.

Dragon curve's height.

The complexity of dragon curve.
(Also known as iterations.)

Dragon curve's background color.

Dragon curve's foreground color.

Dragon curve's width.

Padding around dragon's curve.

Generate a Small Heighway Dragon

This example sets dimensions of dragon curve to 300x200px. It also sets iterations to 11 and background to orange.

**Required options**

Dragon curve's width.

Dragon curve's height.

The complexity of dragon curve.
(Also known as iterations.)

Dragon curve's background color.

Dragon curve's foreground color.

Dragon curve's width.

Padding around dragon's curve.

Generate a Detailed Dragon Fractal

This example draws a detailed 16-generations Harter-Heighway dragon curve on a huge 1500x1000 canvas.

**Required options**

Dragon curve's width.

Dragon curve's height.

The complexity of dragon curve.
(Also known as iterations.)

Dragon curve's background color.

Dragon curve's foreground color.

Dragon curve's width.

Padding around dragon's curve.

Pro tips
Master online math tools

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinemathtools.com/generate-dragon-curve?&width=500&height=500&iterations=12&background-color=%233d0301&line-segment-color=%230471ff&line-width=3&padding=5&direction=down

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