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Koch triangle fractal generator

World's simplest math tool

Free online Koch triangle fractal generator. Just press a button and you'll get a Koch triangle. There are no ads, popups or nonsense, just an awesome Koch triangle generator. Press a button – get a triangle. Created by mathematicians for mathematicians.
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Dimensions and Iterations
Koch triangle width.
Koch triangle height.
How many times to apply the zigzap operation?
Koch Triangle Color Gamuts
Koch triangle's background color.
Koch triangle's zigzag color.
Koch triangle's fill color.
Border, Indent and Rotation
Zigzag thickness.
Indent in pixels from all sides of the canvas.
Rotate Koch triangle fractal.
Koch triangle fractal generator tool What is a koch triangle fractal generator?
This tool draws Koch triangle fractals. Here's how it works. The fractal starts from the basis figure, which is an equilateral triangle. The triangle is then decomposed into three separate lines – its sides. Now each line gets deformed into a three-segment zigzag where the angle between zigs and zags is 108 degrees. This process is then repeated for all new zigzags as many times as you specify in the iterations field. With this tool you can generate, explore and draw your own creative Koch triangles using a variety of customization options. In particular, you can make fractals very colorful by using three custom colors for zigzags, for entire fractal fill and for background. You can remove the fill by leaving the fill-color input field empty, and you can also remove the zigzag color by making zigzag thickness equal to zero. You can rotate the Koch fractal in 4 different positions and add an indent from all its sides. Finally, you can save the finished fractal in as detailed size you need by specifying the width and height of the image in pixels. Mathabulous!
Koch triangle fractal generator examples Click to use
Contrasting Colors
This example draws the Koch triangle using bright and contrasting fill and background colors. It uses a 2px black line for zigzags and draws 5th generations of triangles. The canvas is a square at 400x400 pixels with an inside padding of 10 pixels.
Required options
These options will be used automatically if you select this example.
Koch triangle width.
Koch triangle height.
How many times to apply the zigzap operation?
Koch triangle's background color.
Koch triangle's zigzag color.
Koch triangle's fill color.
Zigzag thickness.
Indent in pixels from all sides of the canvas.
Rotate Koch triangle fractal.
No Border
In this example we left the zigzag width field empty thereby removing it from the fractal and creating a two-colored Koch fractal. We also set the fractal generator to perform 7 zigzag splitting operations, rotated it 90 degrees by changing the direction to up and streteched it to entire 500 by 500 px canvas area by leaving the padding option empty.
Required options
These options will be used automatically if you select this example.
Koch triangle width.
Koch triangle height.
How many times to apply the zigzap operation?
Koch triangle's background color.
Koch triangle's zigzag color.
Koch triangle's fill color.
Zigzag thickness.
Indent in pixels from all sides of the canvas.
Rotate Koch triangle fractal.
Koch Triangle Island
This example generates a Koch triangle using 11 iterations. Because it's generating so many iterations the fractal starts to look like an island. The shape of this island is also modified to rectangular 600px-by-500px.
Required options
These options will be used automatically if you select this example.
Koch triangle width.
Koch triangle height.
How many times to apply the zigzap operation?
Koch triangle's background color.
Koch triangle's zigzag color.
Koch triangle's fill color.
Zigzag thickness.
Indent in pixels from all sides of the canvas.
Rotate Koch triangle fractal.
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-koch-triangle-fractal?&width=400&height=400&iterations=5&background-color=%2340d400&line-segment-color=black&fill-color=%23ff4a3a&line-width=5&padding=10&direction=left
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