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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!
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Iterations and Dimensions
Fractal order. (Number of iterations.)
Fractal width.
Fractal height.
Thickness of triangle border.
Fractal's Color Palette
Background color.
Triangle's interior color.
Triangle's border color.
Space Options and Rotation
Space (in pixels) between the fractal and the frame.
Rotate initial triangle to this direction.
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 fracals. 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.
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
These options will be used automatically if you select this example.
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.
Rotate initial triangle to this direction.
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.
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
These options will be used automatically if you select this example.
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.
Rotate initial triangle to this direction.
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.
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
These options will be used automatically if you select this example.
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.
Rotate initial triangle to this 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-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
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