# Twin dragon curve

## World's simplest fractal tool

This utility lets you draw colorful and stylish Heighway twin fractals. The options below will help you customize your fractal – you can set fractal's iteration stage, dimensions, orientation, and colors for each twin dragon individually. Make sure to select opposite colors for the twins to get a fabulous looking fractal. Fun fact – you can join infinitely many Heighway dragons together back-to-back, back-to-belly, or belly-to-belly and tile the entire space. Created by fractal fans from team Browserling. Fractabulous!

We created a cloud browser!
Browserling

Check out our project Browserling – anonymous cloud browser.

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

Can't convert.

Twin dragon curve tool
What is a twin dragon curve?

This online browser-based tool allows you to draw your own unique twin dragon fractal. The twin dragon fractal is often casually called the Heighway twins. The scientists, Chandler Davis and Donald Knuth, who discovered this fractal attributed it to Heighway because of its resemblance and connection to the regular Heighway fractal. As it turns out, the Heighway twins are Siamese dragons conjoined belly to belly. When iterated for many stages, the dragon heads start from a single one point, diverge into bodies and converge again, ending with both tails touching at another point. The larger the iteration depth, the tighter together the dragon lines are drawn until finally lines are so close together that they fill the twins' bodies completely. Heighway twins is one of many fractals that can be tiled – if you take a copy of this fractal, you can conjoin it with the previous copy. You can repeat this process multiple times until the whole area is filled with dragons. Mind boggling and awesome at the same time, or as we love to say – fractabulous!

Twin dragon curve examples
Click to use

Filled Heighway Twins

In this example, we increase the iteration stage to 16 and set the curve drawing width to 2 pixels. These conditions are sufficient for the curves to be drawn so close together that they completely fill the bounds of both Siamese dragons. As a result, we get two filled Heighway twin dragons, one filled with cyan color and the other filled with lime color.

**Required options**

Final iteration stage.
(Stop recursion at this level.)

Canvas width

Canvas height

Width of line segment used
to draw the fractal.

Fractal's background color.

First dragon's color.

Second dragon's color.

Number of pixels between
the fractal and canvas.

Detailed Twin Dragons

This example gives a detailed view of twin Heighway fractal. By setting the recursion level to 11 iterations, we can see how this fractal is made of individual line segments that form a mesh of interconnected rectangles. We've chosen complementary colors for the drawing to make it maximally attractive. It uses a governor-bay color for the first dragon, thunderbird color for the second dragon, and anakiwa color for the background. It sets the line segment width to 7 pixels and canvas space to 800x1000 pixels.

**Required options**

Final iteration stage.
(Stop recursion at this level.)

Canvas width

Canvas height

Width of line segment used
to draw the fractal.

Fractal's background color.

First dragon's color.

Second dragon's color.

Number of pixels between
the fractal and canvas.

Twin Dragon Island

In this example, we create a twin dragon island fractal. This fractal is constructed by using just one color (cloud-burst blue) to fill the contours of the twins and a high iteration count (18 iterations). The dragon curve is just one pixel thick but by the time it's iterated 18 times, it's twisted and looped so many times that this tiny line completely fills the dragon bounds. This fractal island is also often called the Heighway island fractal.

**Required options**

Final iteration stage.
(Stop recursion at this level.)

Canvas width

Canvas height

Width of line segment used
to draw the fractal.

Fractal's background color.

First dragon's color.

Second dragon's color.

Number of pixels between
the fractal and canvas.

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-twin-heighway-fractal?&width=700&height=600&iterations=16&background-color=%2307026b&dragon-1-color=%2305d1ff&dragon-2-color=%23c4ff00&line-width=2&padding=10&direction=right

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.

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.

Subscribe!
Never miss an update

Cool!

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

Cool!