# 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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## What is a peano fractal?

learn more about this tool
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 usePeano 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 Peano fractal.

Quickly draw a custom Heighway dragon fractal.

Quickly draw a custom twin dragon Heighway fractal.

Quickly draw a custom Heighway nonadragon fractal.

Quickly draw a custom Koch fractal.

Quickly draw a custom triflake fractal.

Quickly draw a custom Sierpinski triangle fractal.

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.

Quickly draw a custom Levy fractal curve.

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 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 Cantor String

Encode the Cantor set 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.

Sierpinski Pyramid

Generate a Sierpinski tetrahedron (tetrix) fractal.

Cantor's Cube

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

Generate a braille code fractal.

Audio Fractal

Generate a fractal in audio form.

Draw a Pseudofractal

Create a fractal that looks like one but isn't a fractal.

Convert Text to a Fractal

Generate a fractal from any text.

Convert a String to a Fractal

Generate a fractal from a string.

Convert a Number to a Fractal

Generate a fractal from a number.

Merge Two Fractals

Join any two fractals together.

Draw a Random Fractal

Create a completely random fractal.

Iterate an IFS

Set up an arbitrary IFS system and iterate it.

Run IFS on an Image

Recursively transform an image using IFS rules.

Iterate an ICAF

Run infinite compositions of analytic functions.

Generate a Fractal Landscape

Create a surface that mimics a natural terrain.

Generate a Brownian Surface

Create a fractal surface via Brownian motion.

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

Tessellate a plane with fractals.

Run a Cellular Automaton

Run a cellular automaton with custom rules.

Play Game of Life

Play Conway's Game of Life on an infinite grid.

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