# Peano fractal

## World's simplest fractal tool

This utility lets you draw custom and colorful Peano fractals. You can customize Peano fractal's color, width, height, as well as its form – regular form, which creates the original space-filling fractal and diamond form, which creates a neat-looking diamond shape fractal. You can also set the recursive iteration count for drawing the fractal. Fun fact – Peano fractal is the first fractal ever discovered in 1890. Created by fractal fans from team Browserling. Fractabulous!
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Peano Fractal's Form
If you select this, then the fractal will fill the entire image.
If you select this, then the fractal will have a neat diamond-like shape.
Make fractal curve's corners rounded.
Recursion, Size and Colors
Recursive depth of the fractal.
Fractal width.
Fractal height.
Fractal background color.
Fractal curve's color.
Fractal curve's thickness.
Peano fractal's orientation.
Peano fractal tool What is a peano fractal?
This online browser-based tool lets you create your own personal Peano fractal. It's also useful for illustrating and learning how the Peano fractal works. The Peano fractal is very similar to Hilbert fractal. Both fractals are space-filling and evolve exponentially with every recursive step. If recursion is set high enough, the fractal will occupy the whole space and its curve length will approach infinity. An infinite curve in a finite space! Mind boggling and cool at the same time, or as we love to say – fractabulous!
Peano fractal examples Click to use
Peano Diamond
In this image, we've drawn a diamond-shaped Peano fractal with smooth corners. Here the fractal's space is a 400- by 400-pixel square, the curve width is 4 pixels and padding is 5 pixels. The background is golden fizz yellow and the fractal itself is Persian blue.
Required options
These options will be used automatically if you select this example.
If you select this, then the fractal will have a neat diamond-like shape.
Make fractal curve's corners rounded.
Recursive depth of the fractal.
Fractal width.
Fractal height.
Fractal background color.
Fractal curve's color.
Fractal curve's thickness.
Peano fractal's orientation.
A Vertical Peano Fractal
This illustration is an example of a vertical Peano fractal. We've created this fractal by drawing it on a 350x500 canvas and setting iterations count to 3. We've also chosen to make Peano line's corners smooth and set the drawing direction to "up".
Required options
These options will be used automatically if you select this example.
If you select this, then the fractal will fill the entire image.
Make fractal curve's corners rounded.
Recursive depth of the fractal.
Fractal width.
Fractal height.
Fractal background color.
Fractal curve's color.
Fractal curve's thickness.
Peano fractal's orientation.
Space-filling Peano Curve
This image is an example of a space-filling Peano fractal. It uses a cornflower blue color for the background and white for the fractal line. As you can see, with only 4 iterations it has almost filled the entire space. If you increase iterations to 5, then you'll get a white image as the curve is white color and it will occupy the entire image.
Required options
These options will be used automatically if you select this example.
If you select this, then the fractal will fill the entire image.
Make fractal curve's corners rounded.
Recursive depth of the fractal.
Fractal width.
Fractal height.
Fractal background color.
Fractal curve's color.
Fractal curve's thickness.
Peano fractal's orientation.
Pro tips Master online fractal 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!
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Walk the Hilbert fractal and enumerate its coordinates.
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Walk the Peano fractal and enumerate its coordinates.
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Walk the Moore fractal and enumerate its coordinates.
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Encode the Hilbert fractal as a string.
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Encode the Peano fractal as a string.
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Encode the Moore fractal as a string.
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Encode the Cantor set as a string.
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Encode the Heighway Dragon as a string.
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Encode the Sierpinski fractal as a string.
Sierpinski Pyramid
Generate a Sierpinski tetrahedron (tetrix) fractal.
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Generate a Cantor's cube fractal.
Menger Sponge
Generate a Sierpinski-Menger fractal.
Jerusalem Cube
Generate a Jerusalem cube fractal.
Mosely Snowflake
Generate a Jeaninne Mosely fractal.
Mandelbrot Tree
Generate a Mandelbrot tree fractal.
Barnsey's Tree
Generate a Barnsley's tree fractal.
Barnsey's Fern
Generate a Barnsley's fern fractal.
Binary Fractal Tree
Generate a binary tree fractal.
Ternary Fractal Tree
Generate a ternary tree fractal.
Dragon Fractal Tree
Generate a dragon tree fractal.
De Rham Fractal
Generate a de Rham curve.
Takagi Fractal
Generate a Takagi-Landsberg fractal curve.
Peano Pentagon
Generate a Peano pentagon fractal curve.
Tridendrite Fractal
Generate a tridendrite fractal curve.
McWorter's Pentigree
Generate a Pentigree fractal curve.
McWorter's Lucky Seven
Generate a lucky seven fractal curve.
Eisenstein Fractions
Generate an Eisenstein fractions fractal curve.
Bagula Double V
Generate a Bagula double five fractal curve.
Julia Set
Generate a Julia fractal set.
Mandelbrot Set
Generate a Mandelbrot fractal set.
Mandelbulb Fractal
Generate a Mandelbulb fractal.
Mandelbox Fractal
Generate a Mandelbox fractal.
Buddhabrot Fractal
Generate a Buddhabrot fractal.
Burning Ship Fractal
Generate a Burning Ship fractal.
Toothpick Fractal
Generate a toothpick sequence fractal.
Ulam-Warburton Fractal
Generate an Ulam-Warburton fractal curve.
ASCII Fractal
Generate an ASCII fractal.
ANSI Fractal
Generate an ANSI fractal.
Unicode Fractal
Generate a Unicode fractal.
Emoji Fractal
Generate an emoji fractal.
Braille Fractal
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Audio Fractal
Generate a fractal in audio form.
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Create a fractal that looks like one but isn't a fractal.
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Generate a Self-similar Image
Apply fractal algorithms on your image and make it self-similar.
Find Fractal Patterns in Images
Find fractal patterns in any given image.
Find Fractal Patterns in Text
Find fractal patterns in any given text.
Find Fractal Patterns in Numbers
Find fractal patterns in any given number.
Fill a Plane with Fractals
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Play Game of Life
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