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Peano curve generator

World's simplest math tool

Free online Peano space-filling curve generator. Just press a button and you'll automatically get a Peano fractal. There are no ads, popups or nonsense, just an awesome Peano curve generator. Press a button – get a Peano curve. Created by mathematicians for mathematicians.
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Peano Curve's Options
Peano curve's width.
Peano curve's height.
How many iterations to do?
Draw a standard space-filling Peano curve.
Draw an alternative Peano curve in rhombus form.
Color Settings
Peano curve's background color.
Peano line color.
Size and Padding
Peano curve's size.
Padding around Peano curve's edges.
Starting direction of motion of the Peano curve.
Round the corners of Peano curve's line segments.
Peano curve generator tool What is a peano curve generator?
This tool draws custom Peano curves. A Peano curve is fractal-like curve that's self-similar and that also fills the entire space. This tool lets you change various Peano curve parameters. First it lets you set the size of the curve – its height and width. Then it lets you change the color of curve segments and background color, and the width of the curve line. Then you can also modify number of iterations to use to generate the curve as well as set its form – regular Peano form or rhombus form. To make the curve more beautiful, you can round its corners. The more iterations you use, the more tightly it fills the space. As Peano curve fills the space very quickly, we can currently compute only the first 7 generations. As CPUs get faster, we'll allow higher generation limits. Mathabulous!
Peano curve generator examples Click to use
Draw a Vertical Peano Curve
This example generates a second order Peano curve filling 300x300px space. This curve has a nice navy-on-white color scheme and has a vertical direction of starting movement.
Required options
These options will be used automatically if you select this example.
Peano curve's width.
Peano curve's height.
How many iterations to do?
Draw a standard space-filling Peano curve.
Draw an alternative Peano curve in rhombus form.
Peano curve's background color.
Peano line color.
Peano curve's size.
Padding around Peano curve's edges.
Starting direction of motion of the Peano curve.
Round the corners of Peano curve's line segments.
Generate a Green Peano Curve
This example sets the color of Peano curve to green and draws 3 curve iterations. Line width is set to 5px, padding to 30px and size to 600x400px.
Required options
These options will be used automatically if you select this example.
Peano curve's width.
Peano curve's height.
How many iterations to do?
Draw a standard space-filling Peano curve.
Draw an alternative Peano curve in rhombus form.
Peano curve's background color.
Peano line color.
Peano curve's size.
Padding around Peano curve's edges.
Starting direction of motion of the Peano curve.
Round the corners of Peano curve's line segments.
Generate a Large Peano Curve
This example draws a large 4th generation Peano curve in an 800x800 space. It uses redish background color and whitish curve color.
Required options
These options will be used automatically if you select this example.
Peano curve's width.
Peano curve's height.
How many iterations to do?
Draw a standard space-filling Peano curve.
Draw an alternative Peano curve in rhombus form.
Peano curve's background color.
Peano line color.
Peano curve's size.
Padding around Peano curve's edges.
Starting direction of motion of the Peano curve.
Round the corners of Peano curve's line segments.
Draw a Peano Curve in Rhombus Form
This example draws a Peano curve in the form of a rhombus, using depth 3 of iterations. The image size is 500x500px and distance of 10 pixels between rhombus vertices and image frame.
Required options
These options will be used automatically if you select this example.
Peano curve's width.
Peano curve's height.
How many iterations to do?
Draw a standard space-filling Peano curve.
Draw an alternative Peano curve in rhombus form.
Peano curve's background color.
Peano line color.
Peano curve's size.
Padding around Peano curve's edges.
Starting direction of motion of the Peano curve.
Round the corners of Peano curve's line segments.
Generate a Peano Curve with Rounded Corners
This example rounds the corners of Peano curve when it turns. Here canvas is slightly stretched vertically and has a size of 400x460 pixels, and the direction for drawing the Peano curve is set to up.
Required options
These options will be used automatically if you select this example.
Peano curve's width.
Peano curve's height.
How many iterations to do?
Draw a standard space-filling Peano curve.
Draw an alternative Peano curve in rhombus form.
Peano curve's background color.
Peano line color.
Peano curve's size.
Padding around Peano curve's edges.
Starting direction of motion of the Peano curve.
Round the corners of Peano curve's line segments.
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-peano-curve?&width=300&height=300&iterations=2&background-color=beige&line-segment-color=navy&line-width=3&padding=10&direction=up®ular-form=true&rhombus-form=false&rounded-corners=false
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