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Sierpinski carpet generator

World's simplest math tool

Free online Sierpinski carpet generator. Just press a button and you'll automatically get a Sierpinski carpet fractal. There are no ads, popups or nonsense, just an awesome Sierpinski carpet generator. Press a button, get a Sierpinski carpet. Created by mathematicians for mathematicians.
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Carpet Size and Iterations
Carpet width.
Carpet height.
Number of recursive iterations.
Carpet Colors
Carpet background color.
Carpet line segment color.
Carpet square fill color.
Curve
Thickness of square edges.
Padding around the carpet.
Sierpinski carpet generator tool What is a sierpinski carpet generator?
This tool draws a Sierpinsky carpet. A Sierpinsky carpet is self-similar plane fractal structure. To construct it you cut it into 9 equal-sized smaller squares, and remove the central smaller square from all squares. You keep doing it as many times as you want. This tool lets you set how many cuts to make (number of iterations) and also set the carpet's width and height. If you use the download buttonm you'll be able to download the whole carpet that is exactly width-x-height in size. You can draw squares with any border width or no width at all. You can colorize a fractal with three different colors and you can also add offset padding around the edges of the carpet by setting the padding option. Mathabulous!
Sierpinski carpet generator examples Click to use
Generate a 3rd Order Sierpinski Carpet
This tool draws the Sierpinski carpet fractal with three different sizes of squares as the number of iterations is equal to 3. Here bright colors are used, on a canvas size of 558x558px.
Required options
These options will be used automatically if you select this example.
Carpet width.
Carpet height.
Number of recursive iterations.
Carpet background color.
Carpet line segment color.
Carpet square fill color.
Thickness of square edges.
Padding around the carpet.
Draw a Rectangular Sierpinski Fractal
This example generates a non-square Sierpinski carpet in blue colors with dimensions 558x450px using only 2 iterations.
Required options
These options will be used automatically if you select this example.
Carpet width.
Carpet height.
Number of recursive iterations.
Carpet background color.
Carpet line segment color.
Carpet square fill color.
Thickness of square edges.
Padding around the carpet.
Draw a Bicolour Sierpinsky Carpet
In this example we generate a Sierpinsky fractal in which a thickness of the line equals 0. As a result its drawn using only two colors. Here we're also using 4 recursive generations to show how complex it gets and we don't use any padding around the carpet edges.
Required options
These options will be used automatically if you select this example.
Carpet width.
Carpet height.
Number of recursive iterations.
Carpet background color.
Carpet line segment color.
Carpet square fill color.
Thickness of square edges.
Padding around the carpet.
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-sierpinski-carpet?&width=558&height=558&iterations=3&background-color=%23d6005d&line-segment-color=white&fill-color=%23690007&line-width=8&padding=5
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