Dragon fractal
World's simplest fractal tool
This utility lets you draw custom and colorful Heighway fractals. You can adjust the size of the fractal, the number of its iterations, and pick the colors for the background and curve line. You can also specify the fractal's thickness, padding, and set the direction of the dragon's head. Fun fact – the dragon fractal can be created from a strip of paper by cleverly folding, unfolding and rotating it. Fractabulous!
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Dragon fractal tool
What is a dragon fractal?
This online browser-based tool allows you to draw a personalized dragon fractal. It's also sometimes called Harter-Heighway dragon or simply Heighway dragon. This name comes from physicists John Heighway and William Harter. The dragon fractal is an example of a self-similar curve. The fractal consists of one continuous line and it never intersects. This fractal is one of the few fractals that can be folded from a strip of paper iteratively. To do this, first bend the paper strip in half, then open it at 90-degree angle, rotate it 45 degrees, and bend it again in half. Then repeat this same procedure again. The size of each dragon formed this way in every next iteration is √2 smaller than the previous one. You can also put two dragons back to back and create a Heighway twins fractal. Mind boggling and cool at the same time, or as we love to say – fractabulous!
Dragon fractal examples
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Detailed Dragon Fractal
This example draws a detailed Heighway dragon fractal of depth twelve. It uses the ultramarine color for the line, sets it 4 pixels thick and uses an area of 600 by 900 pixels to paint it.
Required options
Dragon's head direction.
Iterative depth of the fractal.
Fractal width.
Fractal height.
Heighway dragon line color.
Heighway dragon line width.
Heighway dragon fill color.
Drawing indent (in pixels).
Line-filled Heighway Dragon
In this example, we generate the Heighway fractal at the 15th iteration step. We're using 3 pixels for line thickness and because the lines are drawn very close together, they fill the shape of the fractal. We use a golden-fizz color for the line and resolution-blue color for the background.
Required options
Dragon's head direction.
Iterative depth of the fractal.
Fractal width.
Fractal height.
Heighway dragon line color.
Heighway dragon line width.
Heighway dragon fill color.
Drawing indent (in pixels).
Bright Heighway Fractal
This example creates a bright-pink dragon fractal on a yellow background. It runs the fractal algorithm for 17 steps and paints it on an 800- by 1200-pixel canvas with indentation of 15 pixels around the canvas edges.
Required options
Dragon's head direction.
Iterative depth of the fractal.
Fractal width.
Fractal height.
Heighway dragon line color.
Heighway dragon line width.
Heighway dragon fill color.
Drawing indent (in pixels).
Pro tips
Master online fractal 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://onlinefractaltools.com/draw-heighway-fractal?&width=600&height=900&iterations=13&background-color=%23befeff&line-segment-color=%230a0e91&line-width=4&padding=10&direction=down
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Coming soon
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Encode the Heighway Dragon as a string.
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We're Browserling — a friendly and fun cross-browser testing company powered by alien technology. At Browserling we love to make developers' lives easier, so we created this collection of online fractal tools. Unlike many other tools, we made our tools free, without ads, and with the simplest possible user interface. Our online fractal tools are actually powered by our programming tools that we created over the last couple of years. Check them out!
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