# 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. Fractabulous!

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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**

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.

Padding around the fractal.

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**

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.

Padding around the fractal.

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**

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.

Padding around the fractal.

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!

https://onlinefractaltools.com/draw-peano-fractal?&width=400&height=400&iterations=3&background-color=%23fff836&line-segment-color=%23221ab0&line-width=4&padding=5&direction=right&rhombus-form=true&rounded-corners=true

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Quickly draw a custom Sierpinski pentagon fractal.

Quickly draw a custom Sierpinski hexagon fractal.

Quickly draw a custom Sierpinski polygon fractal.

Quickly draw a custom Moore fractal.

Quickly draw a custom Cantor comb fractal.

Quickly draw a custom Cantor dust fractal.

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Quickly draw a custom ice fractal.

Quickly draw a custom Pythagoras tree fractal.

Quickly draw a custom t-square fractal.

Quickly draw a custom Hausdorff tree fractal.

Coming soon
These fractal tools are on the way

Generate a Hilbert Sequence

Walk the Hilbert fractal and enumerate its coordinates.

Generate a Peano Sequence

Walk the Peano fractal and enumerate its coordinates.

Generate a Moore Sequence

Walk the Moore fractal and enumerate its coordinates.

Generate a Cantor String

Encode the Cantor set as a string.

Generate a Hilbert String

Encode the Hilbert fractal as a string.

Generate a Peano String

Encode the Peano fractal as a string.

Generate a Moore String

Encode the Moore fractal as a string.

Generate a Dragon String

Encode the Heighway Dragon as a string.

Generate a Sierpinski String

Encode the Sierpinski fractal as a string.

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.

Toothpick Fractal

Generate a toothpick sequence fractal.

Ulam-Warburton Fractal

Generate an Ulam-Warburton fractal curve.

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