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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 mathematicians for mathematicians.
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Dragon Curve's Options
Dragon curve's width.
Dragon curve's height.
The complexity of dragon curve. (Also known as iterations.)
Curve's Colors
Dragon curve's background color.
Dragon curve's foreground color.
Width and Padding
Dragon curve's width.
Padding around dragon's curve.
Dragon curve generator tool What is a dragon curve generator?
This tool draws dragon curves — a self-similar, space-filling, fractal-like curves. The dragon curve is also known as Harter-Banks-Heighway curve or Jurassic Park curve. 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 dragon curve to generate. Because computing it 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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
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