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Twindragon curve generator

World's simplest math tool

Free online twindragon curve generator. Just press a button and you'll get a twindragon fractal. There are no ads, popups or nonsense, just an awesome twin dragons fractal generator. Press a button, get twin dragons. Created by mathematicians for mathematicians.
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Twindragon Size and Iterations
Twindragon width.
Twindragon height.
Number of iterations.
To generate filled dragons, increase the number of iterations and line width.
Twindragon Colors
Background color of the twindragon curve.
Color of the first dragon.
Color of the second dragon.
Thickness, Padding and Rotation
Width of the twindragon curve line.
Draw twin dragons this many pixels from the edge of the image.
In what direction should we draw the second twindragon's tail?
Twindragon curve generator tool What is a twindragon curve generator?
This tool draws a twindragon curve. The twindragon curve, also known as the Davis-Knuth dragon curve, is constructed from two regular dragon curves by placing them back-to-back. With this tool you can explore how these two dragons behave by changing the number of iterations and their colors. As you change the iteration depth, the Davis-Knuth curve changes its shape so to better see the changes you can also change the size of final fractal image. You can individually set color for each dragon and also change the color for the background. You can rotate the fractal by choosing the direction of one of dragon's tails. You can also set dragon curve's thickness and padding around the final fractal image. Mathabulous!
Twindragon curve generator examples Click to use
Generate 10 Iterations of a Twindragon Curve
This example draws the first ten iterations of the Davis-Knuth dragon fractal on a canvas of size 900x700px. As there are only 10 iterations, you can clearly see how the dragon lines are constructed. Also we set the dragon's tail to be drawn down.
This example draws the first ten iterations of the Davis-Knuth dragon fractal on a canvas of size 900x700px. As there are only 10 iterations, you can clearly see how the dragon lines are constructed. Also we set the dragon's tail to be drawn down.
Required options
These options will be used automatically if you select this example.
Twindragon width.
Twindragon height.
Number of iterations.
Background color of the twindragon curve.
Color of the first dragon.
Color of the second dragon.
Width of the twindragon curve line.
Draw twin dragons this many pixels from the edge of the image.
In what direction should we draw the second twindragon's tail?
Draw a Vertical Twindragon Fractal
This example generates red and blue dragons vertically on a black background with a height of 600 pixels and a width of 500 pixels. The thickness of dragons is 3 pixels and the padding is 10 pixels.
This example generates red and blue dragons vertically on a black background with a height of 600 pixels and a width of 500 pixels. The thickness of dragons is 3 pixels and the padding is 10 pixels.
Required options
These options will be used automatically if you select this example.
Twindragon width.
Twindragon height.
Number of iterations.
Background color of the twindragon curve.
Color of the first dragon.
Color of the second dragon.
Width of the twindragon curve line.
Draw twin dragons this many pixels from the edge of the image.
In what direction should we draw the second twindragon's tail?
Draw a Filled Davis-Knuth Dragon
This example generates twin dragons using 16 iteration steps. The drawing lines are so close together that they fill the dragon shapes forming clear contours of the two dragons.
This example generates twin dragons using 16 iteration steps. The drawing lines are so close together that they fill the dragon shapes forming clear contours of the two dragons.
Required options
These options will be used automatically if you select this example.
Twindragon width.
Twindragon height.
Number of iterations.
Background color of the twindragon curve.
Color of the first dragon.
Color of the second dragon.
Width of the twindragon curve line.
Draw twin dragons this many pixels from the edge of the image.
In what direction should we draw the second twindragon's tail?
Use One Color for Both Dragons
In this example we use the same color for both dragons. As a result they appear as a single dragon with two tails, two heads, two arms and two legs.
In this example we use the same color for both dragons. As a result they appear as a single dragon with two tails, two heads, two arms and two legs.
Required options
These options will be used automatically if you select this example.
Twindragon width.
Twindragon height.
Number of iterations.
Background color of the twindragon curve.
Color of the first dragon.
Color of the second dragon.
Width of the twindragon curve line.
Draw twin dragons this many pixels from the edge of the image.
In what direction should we draw the second twindragon'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-twindragon-curve?&width=900&height=700&iterations=10&background-color=%235d1680&dragon-1-color=%23ffc526&dragon-2-color=%233dd8ff&line-width=6&padding=20&direction=down
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