# 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!

announcement
a new project!

Super exciting news! We just launched TECHURLS – simple and fun tech news reader. Check it out!

*fullscreen*

*fullscreen_exit*

A link to this tool, including input, options and all chained tools.

Can't convert.

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
Click to use

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**

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**

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**

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

All fractal tools

Quickly draw a custom McWorter dendrite fractal.

Quickly draw a custom canopy tree fractal.

Quickly draw a custom Gosper fractal.

Quickly draw a custom Z-order fractal.

Quickly draw a custom Hilbert fractal.

Quickly draw a custom binary v-fractal.

Quickly draw a custom Peano fractal.

Quickly draw a custom Heighway dragon fractal.

Quickly draw a custom twin dragon Heighway fractal.

Quickly draw a custom Heighway nonadragon fractal.

Quickly draw a custom Koch fractal.

Quickly draw a custom triflake fractal.

Quickly draw a custom Sierpinski triangle fractal.

Quickly draw a custom Sierpinski pentagon fractal.

Quickly draw a custom Sierpinski hexagon fractal.

Quickly draw a custom Sierpinski polygon fractal.

Quickly draw a custom Moore fractal.

Quickly draw a custom Cantor comb fractal.

Quickly draw a custom Cantor dust fractal.

Quickly draw a custom Levy fractal curve.

Quickly draw a custom ice fractal.

Quickly draw a custom Pythagoras tree fractal.

Quickly draw a custom t-square fractal.

Quickly draw a custom Hausdorff tree fractal.

Coming soon
These fractal tools are on the way

Generate a Hilbert Sequence

Walk the Hilbert fractal and enumerate its coordinates.

Generate a Peano Sequence

Walk the Peano fractal and enumerate its coordinates.

Generate a Moore Sequence

Walk the Moore fractal and enumerate its coordinates.

Generate a Cantor String

Encode the Cantor set as a string.

Generate a Hilbert String

Encode the Hilbert fractal as a string.

Generate a Peano String

Encode the Peano fractal as a string.

Generate a Moore String

Encode the Moore fractal as a string.

Generate a Dragon String

Encode the Heighway Dragon as a string.

Generate a Sierpinski String

Encode the Sierpinski fractal as a string.

Mandelbrot Tree

Generate a Mandelbrot tree fractal.

Barnsey's Tree

Generate a Barnsley's tree fractal.

Barnsey's Fern

Generate a Barnsley's fern fractal.

Binary Fractal Tree

Generate a binary tree fractal.

Ternary Fractal Tree

Generate a ternary tree fractal.

Dragon Fractal Tree

Generate a dragon tree fractal.

De Rham Fractal

Generate a de Rham curve.

Takagi Fractal

Generate a Takagi-Landsberg fractal curve.

Peano Pentagon

Generate a Peano pentagon fractal curve.

Tridendrite Fractal

Generate a tridendrite fractal curve.

McWorter's Pentigree

Generate a Pentigree fractal curve.

McWorter's Lucky Seven

Generate a lucky seven fractal curve.

Eisenstein Fractions

Generate an Eisenstein fractions fractal curve.

Bagula Double V

Generate a Bagula double five fractal curve.

Julia Set

Generate a Julia fractal set.

Mandelbrot Set

Generate a Mandelbrot fractal set.

Toothpick Fractal

Generate a toothpick sequence fractal.

Ulam-Warburton Fractal

Generate an Ulam-Warburton fractal curve.

Subscribe!
Never miss an update

Cool!

Notifications
We'll let you know when we add this tool

Cool!