# 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. Created by fractal fans from team Browserling. Fractabulous!

announcement
check out our new project!

We just created something new for all science fans – SCIURLS – a neat science news aggragator. Check it out!

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

Can't convert.

## What is a dragon fractal?

learn more about this tool
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 useDetailed 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 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 Cantor String

Encode the Cantor set 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.

Sierpinski Pyramid

Generate a Sierpinski tetrahedron (tetrix) fractal.

Cantor's Cube

Generate a Cantor's cube fractal.

Menger Sponge

Generate a Sierpinski-Menger fractal.

Jerusalem Cube

Generate a Jerusalem cube fractal.

Mosely Snowflake

Generate a Jeaninne Mosely fractal.

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.

Mandelbulb Fractal

Generate a Mandelbulb fractal.

Mandelbox Fractal

Generate a Mandelbox fractal.

Buddhabrot Fractal

Generate a Buddhabrot fractal.

Burning Ship Fractal

Generate a Burning Ship fractal.

Toothpick Fractal

Generate a toothpick sequence fractal.

Ulam-Warburton Fractal

Generate an Ulam-Warburton fractal curve.

ASCII Fractal

Generate an ASCII fractal.

ANSI Fractal

Generate an ANSI fractal.

Unicode Fractal

Generate a Unicode fractal.

Emoji Fractal

Generate an emoji fractal.

Braille Fractal

Generate a braille code fractal.

Audio Fractal

Generate a fractal in audio form.

Draw a Pseudofractal

Create a fractal that looks like one but isn't a fractal.

Convert Text to a Fractal

Generate a fractal from any text.

Convert a String to a Fractal

Generate a fractal from a string.

Convert a Number to a Fractal

Generate a fractal from a number.

Merge Two Fractals

Join any two fractals together.

Draw a Random Fractal

Create a completely random fractal.

Iterate an IFS

Set up an arbitrary IFS system and iterate it.

Run IFS on an Image

Recursively transform an image using IFS rules.

Iterate an ICAF

Run infinite compositions of analytic functions.

Generate a Fractal Landscape

Create a surface that mimics a natural terrain.

Generate a Brownian Surface

Create a fractal surface via Brownian motion.

Generate a Self-similar Image

Apply fractal algorithms on your image and make it self-similar.

Find Fractal Patterns in Images

Find fractal patterns in any given image.

Find Fractal Patterns in Text

Find fractal patterns in any given text.

Find Fractal Patterns in Numbers

Find fractal patterns in any given number.

Fill a Plane with Fractals

Tessellate a plane with fractals.

Run a Cellular Automaton

Run a cellular automaton with custom rules.

Play Game of Life

Play Conway's Game of Life on an infinite grid.

Subscribe!
Never miss an update

Cool!

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

Cool!