# Cantor dust generator

## World's simplest math tool

Free online Cantor dust fractal generator. Just press a button and you'll get a Cantor fractal. There are no ads, popups or nonsense, just an awesome Cantor dust generator. Press a button – get dust. Created by mathematicians for mathematicians.

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Cantor dust generator tool
What is a cantor dust generator?

This tool draws the Cantor dust fractal. Cantor dust is a disappearing fractal that's created as follows – take a square and shred it into 4 smaller squares and place them in the corners of original square. Then remove the original square. The number of squares at each iteration increases fourfold but the area they consume decreases. As the number of iterations increases the squares turn into infinitesimal fine dust particles. This tool has multiple options to customize the dust fractal that you get – you can specify the number of fractal generations to create, choose fractal dimensions, choose three colors for background, squares and their border, change the border size and padding around them. Mathabulous!

Cantor dust generator examples
Click to use

Generate a Yellow Cantor Dust Fractal

This example draws white dust squares with a wide, brown 8px border on a yellow background. It repeats the recursive dust subdivision process for 4 iterations and you get 64 squares.

**Required options**

The number of recursive
dust square subdivisions.

Cantor dust width.

Cantor dust height.

Cantor dust background color.

Cantor dust square color.

Cantor dust square border color.

Dust square width.

Padding around the Cantor
dust fractal.

Create Fine-grained Cantor Dust Particles

In this example we set the number of fractal generations to 5 that results in 256 fractal squares. The border around each square is set to zero and as a result we get a two-colored Cantor fractal.

**Required options**

The number of recursive
dust square subdivisions.

Cantor dust width.

Cantor dust height.

Cantor dust background color.

Cantor dust square color.

Cantor dust square border color.

Dust square width.

Padding around the Cantor
dust fractal.

Draw a Rectangular Cantor Dust Fractal

This example generates a Cantor dust fractal with the width greater than height. This creats a rectangular fractal. It's using only 2 iterations and sets the thickness of the line around squares to 6 pixels.

**Required options**

The number of recursive
dust square subdivisions.

Cantor dust width.

Cantor dust height.

Cantor dust background color.

Cantor dust square color.

Cantor dust square border color.

Dust square width.

Padding around the Cantor
dust 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-cantor-dust?&width=352&height=352&iterations=4&background-color=%23ffea00&line-segment-color=%237d001d&fill-color=white&line-width=8&padding=10

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