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Hilbert curve generator

World's simplest math tool

Free online Hilbert space-filling curve generator. Just press a button and you'll automatically get a Hilbert curve. There are no ads, popups or nonsense, just an awesome Hilbert curve generator. Press a button, get a Hilbert curve. Created by mathematicians for mathematicians.
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Generator Options
Image width.
Image height.
Amount of iterations, defines how complex the curve will be.
Colors
Background color.
Line segment color.
Curve
Thickness of a line segment.
Sets the padding of the image. Increases image size two times this value.
Hilbert curve generator tool What is a hilbert curve generator?
This tool draws Hilbert curves — continuous fractal space-filling curves. You can customize width and height of the space that the curve has to fill and how many iterations to use to fill the space. Currently, due to an implementation limitation, this tool can only generate Hilbert curves up to the 10th order. You can change the background image color and curve color. You can also customize the thickness of line segments and add padding around the curve. The size of curve segments is automatically calculated based on specified width and height. Mathabulous!
Hilbert curve generator examples Click to use
Draw a Colorful Hilbert Curve
This example generates a 5th order Hilbert curve on an orange background and sets curve thickness to 5px. The space is set to 400x400px square.
Required options
These options will be used automatically if you select this example.
Image width.
Image height.
Amount of iterations, defines how complex the curve will be.
Background color.
Line segment color.
Thickness of a line segment.
Sets the padding of the image. Increases image size two times this value.
Generate a Rectangular Hilbert Curve
This example draws a Hilbert curve inside a 500x300 rectangle. As this rectangle isn't a square, the horizontal segment size is larger than vertical segment size.
Required options
These options will be used automatically if you select this example.
Image width.
Image height.
Amount of iterations, defines how complex the curve will be.
Background color.
Line segment color.
Thickness of a line segment.
Sets the padding of the image. Increases image size two times this value.
Generate a Big Hilbert Curve
This example draws a bigger 7th order 1000x1000 Hilbert curve. It sets background color to white and curve's color to black.
Required options
These options will be used automatically if you select this example.
Image width.
Image height.
Amount of iterations, defines how complex the curve will be.
Background color.
Line segment color.
Thickness of a line segment.
Sets the padding of the image. Increases image size two times this value.
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-hilbert-curve?&width=400&height=400&iterations=5&background-color=orange&line-segment-color=%23271b47&line-width=5&padding=5
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