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Terdragon curve generator

World's simplest math tool

Free online terdragon fractal generator. Just press a button and you'll get a terdragon curve. There are no ads, popups or nonsense, just an awesome triple dragon curve generator. Press a button – get three dragons. Created by mathematicians for mathematicians.
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Terdragon Dimensions and Iterations
Terdragon curve width.
Terdragon curve height.
The order of terdragon curve. (Iterations.)
Terdragon Colors
Background color for the terdragon curve.
First dragon color.
Second dragon color.
Third dragon color.
Line, Space, Orientation
Draw terdragons with this width.
Space around terdragons.
Set the orientation of third dragon's tail.
Terdragon curve generator tool What is a terdragon curve generator?
This tool draws a terdragon fractal. The treadragon curve is also known as three dragon curve as it connects together three regular Heighway dragon curves. Because of dragon curve's special properties all three dragons can be placed back-to-back together. Usually one of dragons is positioned vertically while two other dragons are placed on both sides of the vertical dragon. With this fractal tool you can fill the given space with three dragons and customize them. Each dragon can be given a different color, or, if you want to, you can give all dragons the same color. You can choose how the dragons are generated by changing the the tail orientation for the third dragon. As all dragons are connected together this will change the orientation of the entire fractal. Other options include ability to choose the thickness of the line used to draw the dragons and adding extra empty space around the dragons so that they don't touch the image borders. Mathabulous!
Terdragon curve generator examples Click to use
Generate a Bipattern Terdragon Fractal
This example paints three dragons with only two colors. The first and third dragon has the same color but middle dragon has a different color. The terdragon is drawn on a 600x600 pixel canvas and has 10th order.
Required options
These options will be used automatically if you select this example.
Terdragon curve width.
Terdragon curve height.
The order of terdragon curve. (Iterations.)
Background color for the terdragon curve.
First dragon color.
Second dragon color.
Third dragon color.
Draw terdragons with this width.
Space around terdragons.
Set the orientation of third dragon's tail.
Draw a Vertical Terdragon
In this example we generate 8 iterations of the three dragon fractal. The 8th iteration makes two of the dragons align vertically and one of them align horizontally and to better visualize them we set height to 800px but width to 600px. We use three shades of blue for dragon lines and use a white background color. Dragon line thickness is set to 3 pixels.
Required options
These options will be used automatically if you select this example.
Terdragon curve width.
Terdragon curve height.
The order of terdragon curve. (Iterations.)
Background color for the terdragon curve.
First dragon color.
Second dragon color.
Third dragon color.
Draw terdragons with this width.
Space around terdragons.
Set the orientation of third dragon's tail.
Draw a Filled Three-dragon Curve
In this example the terdragon is generated for 11 iterations and it uses four different colors – purple, yellow and blue for dragons, and black for the background. As there are 11 iterations the fractal gets filled with solid color as all lines get drawn very close together. We also set the padding to zero and dragon line width of 2px.
Required options
These options will be used automatically if you select this example.
Terdragon curve width.
Terdragon curve height.
The order of terdragon curve. (Iterations.)
Background color for the terdragon curve.
First dragon color.
Second dragon color.
Third dragon color.
Draw terdragons with this width.
Space around terdragons.
Set the orientation of third dragon's tail.
Pro tips Master online math 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://onlinemathtools.com/generate-terdragon-curve?&width=600&height=600&iterations=10&background-color=%23012d6b&dragon-1-color=%23ff00a2&dragon-2-color=%234ceb03&dragon-3-color=%23ff00a2&line-width=2&padding=5&direction=down
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