᠎᠎᠎          
51K

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!
We put a browser in your browser! Browserling
Check out our project Browserling – get a browser in your browser and browse while you browse.
A link to this tool, including input, options and all chained tools.
Can't convert.
An error has occured.
Chain with...
Remove chain
Save as...
Copy to clipboard
Download
Export to Pastebin
Remove no tools?
This tool cannot be chained.
Recursion and Area
Iterative depth of the fractal.
Fractal width.
Fractal height.
Line and Fill Colors
Heighway dragon line color.
Heighway dragon line width.
Heighway dragon fill color.
Indents and Direction
Drawing indent (in pixels).
Dragon's head direction.
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.
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
These options will be used automatically if you select this example.
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).
Dragon's head direction.
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.
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
These options will be used automatically if you select this example.
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).
Dragon's head direction.
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.
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
These options will be used automatically if you select this example.
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).
Dragon's head direction.
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
Didn't find the tool you were looking for? Let us know what tool we are missing and we'll build it!
Draw a Dendrite Fractal
Quickly draw a custom McWorter dendrite fractal.
Draw a Canopy Fractal
Quickly draw a custom canopy tree fractal.
Draw a Flowsnake Fractal
Quickly draw a custom Gosper fractal.
Draw a Morton Fractal
Quickly draw a custom Z-order fractal.
Draw a Hilbert Fractal
Quickly draw a custom Hilbert fractal.
Draw a V-fractal
Quickly draw a custom binary v-fractal.
Draw a Peano Fractal
Quickly draw a custom Peano fractal.
Draw a Heighway Fractal
Quickly draw a custom Heighway dragon fractal.
Draw a Heighway Twins Fractal
Quickly draw a custom twin dragon Heighway fractal.
Draw a Triangle Dragon Fractal
Quickly draw a custom Heighway nonadragon fractal.
Draw a Koch Fractal
Quickly draw a custom Koch fractal.
Draw a Triflake Fractal
Quickly draw a custom triflake fractal.
Draw a Sierpinski Fractal
Quickly draw a custom Sierpinski triangle fractal.
Draw a Pentaflake Fractal
Quickly draw a custom Sierpinski pentagon fractal.
Draw a Hexaflake Fractal
Quickly draw a custom Sierpinski hexagon fractal.
Draw a Multiflake Fractal
Quickly draw a custom Sierpinski polygon fractal.
Draw a Moore Fractal
Quickly draw a custom Moore fractal.
Draw a Cantor Fractal
Quickly draw a custom Cantor comb fractal.
Draw a Dust Fractal
Quickly draw a custom Cantor dust fractal.
Draw a Levy Fractal
Quickly draw a custom Levy fractal curve.
Draw a Frosty Fractal
Quickly draw a custom ice fractal.
Draw a Pythagoras Fractal
Quickly draw a custom Pythagoras tree fractal.
Draw a T-square Fractal
Quickly draw a custom t-square fractal.
Draw a Hausdorff 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.
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.
Braille Fractal
Generate a braille code fractal.
Draw a Pseudofractal
Create a fractal that looks like one but isn't a fractal.
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.
Generate a Self-similar Image
Apply fractal algorithms on your image and make it self-similar.
Find Fractal Patterns in Text
Find fractal patterns in any given text.
Find Fractal Patterns in Numbers
Find fractal patterns in any given number.
Created with love by
51K
@browserling
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!
Secret message
If you love our tools, then we love you, too! Use coupon code FRACTALLING to get a discount at Browserling.
Privacy Policy we don't log data!
All conversions and calculations are done in your browser using JavaScript. We don't send a single bit about your input data to our servers. There is no server-side processing at all. We use Google Analytics and StatCounter for site usage analytics. Your IP address is saved on our web server, but it's not associated with any personally identifiable information. We don't use cookies and don't store session information in cookies. We use your browser's local storage to save tools' input. It stays on your computer.
Terms of Service the legal stuff
By using Online Fractal Tools you agree to our Terms of Service. TLDR: You don't need an account to use our tools. All tools are free of charge and you can use them as much as you want. You can't do illegal or shady things with our tools. We may block your access to tools, if we find out you're doing something bad. We're not liable for your actions and we offer no warranty. We may revise our terms at any time.