# Gosper curve generator

## World's simplest math tool

Free online Peano-Gosper space-filling curve generator. Just press a button and you'll automatically get a Gosper curve. There are no ads, popups or nonsense, just an awesome Peano-Gosper curve generator. Press a button, get a Gosper curve. Created by mathematicians for mathematicians.

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Gosper curve generator tool
What is a gosper curve generator?

This tool draws Peano-Gosper curves. The Gosper curve, also known as the flowsnake (or snowflake) is a fractal space-filling curve. It's similar in its construction to dragon and Hilbert curves. In this tool you can create custom Gosper curves. You can select any background color and curve color. You can set curve dimensions and choose the thickness of the curve line. And most importantly, you can select the number of iterations and see how Gosper curve evolves with each iteration. Mathabulous!

Gosper curve generator examples
Click to use

Draw a Gosper Curve on a Blue Background

This example evolves Gosper's curve for 3 generations. It also sets a blue background, white curve line color, and sets line's thickness to 4px. The dimensions are set to square - 500x500px.

**Required options**

Gosper curve's width.

Gosper curve's height.

How many curve iterations?

Peano-Gosper curve's
background color.

Peano-Gosper curve's
line color.

Line width of the Gosper curve.

Set this padding around curve.

Generate a Tiny Peano-Gosper Curve

This example shows a Gosper curve using 2 iterations only. Color is set green on black, line width is set to 2px, padding to 30px and space size to 400x350px.

**Required options**

Gosper curve's width.

Gosper curve's height.

How many curve iterations?

Peano-Gosper curve's
background color.

Peano-Gosper curve's
line color.

Line width of the Gosper curve.

Set this padding around curve.

Generate a 4th Order Gosper Curve

This example draws a 500x500 Gosper's curve using 4 iterations. It sets padding to 10 pixels and burgundy background color.

**Required options**

Gosper curve's width.

Gosper curve's height.

How many curve iterations?

Peano-Gosper curve's
background color.

Peano-Gosper curve's
line color.

Line width of the Gosper curve.

Set this padding around curve.

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-gosper-curve?&width=500&height=500&iterations=3&background-color=%2303beed&line-segment-color=white&line-width=4&padding=10

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