# Triangle dragon fractal

## World's simplest fractal tool

This utility lets you draw custom and colorful triangle dragon fractals. You can create original fractals by setting your own drawing rules – you can change the size of a fractal, its starting rotation, and iteration depth. The color palette can be customized, too – you can choose different colors for the triangle border, its interior, and the background. Fun fact – the asymptotic shape that the fractal forms is made out of nine regular Heighway dragons. Fractabulous!

announcement
heads up!

We just launched a new site – Online String Tools – a collection of string processing utilities. Check it out!

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

Can't convert.

Triangle dragon fractal tool
What is a triangle dragon fractal?

This online browser-based tool specializes in creating a unique dragon triangle fractal. A dragon triangle fractal consists of a series of connected triangles. At the first iteration step, it's a single triangle. With each next step, this triangle is cut in three new triangles and their copies are placed side by side with the original triangle. This fractal is also known as a triple Heighway tridragon fractal or simply a nonadragon Heighway fractal. These names come from the fact that this fractal in the final form can be constructed by tiling three Heighway tridragons or nine Heighway fractals. Mind blowing and ingenious at the same time, or as we love to say – fractabulous!

Triangle dragon fractal examples
Click to use

Dragon Triangles in Three Colors

In this example, we create a fifth-order dragon triangle fractal with three colors. We use a Paris-daisy color for the background, cab-sav color for the triangle line, and white color for filling the triangle. With only five iterations, you can already start seeing dragon heads emerging.

**Required options**

Fractal order.
(Number of iterations.)

Fractal width.

Fractal height.

Thickness of triangle border.

Background color.

Triangle's interior color.

Triangle's border color.

Space (in pixels) between the
fractal and the frame.

Bottom-up Triangle Dragons

In this example, we let the triangle dragon fractal evolve for 6 generations. To make it more custom, we've set the triangle border thickness to 0 and compared to the previous example, we've also changed the direction of drawing the triangles from left to right (effectively drawing it upside-down.) Notice how even more dragon heads and tails emerge.

**Required options**

Fractal order.
(Number of iterations.)

Fractal width.

Fractal height.

Thickness of triangle border.

Background color.

Triangle's interior color.

Triangle's border color.

Space (in pixels) between the
fractal and the frame.

Dragon Island

The legend of dragons has it that this fractal was formed by 9 Heighway dragons landing simultaneously in a lake. As you can see in the fractal image, it's entirely made out of dragon backs, heads, and tails. If you count carefully you'll find 9 Heighway dragons or 3 Heighway tridragons.

**Required options**

Fractal order.
(Number of iterations.)

Fractal width.

Fractal height.

Thickness of triangle border.

Background color.

Triangle's interior color.

Triangle's border color.

Space (in pixels) between the
fractal and the frame.

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-triangle-dragon-fractal?&width=800&height=800&iterations=5&background-color=%23fff566&fill-color=white&line-segment-color=%23570c2f&line-width=7&padding=20&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 Cantor String

Encode the Cantor set 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!