System Load

0.02ms

Scale

100%

SCROLL TO ZOOM • DRAG TO PAN

About Hilbert Squiggle Generator

Hilbert Squiggle draws a Hilbert curve, a continuous space-filling fractal curve that passes through every cell of a grid without crossing itself. Increasing the recursion order packs the curve into finer and finer detail, visually demonstrating how a one-dimensional line can be folded to approximate filling a two-dimensional area.

How to use it

  1. Set the recursion order to control how fine the curve's detail is.
  2. Watch the curve render on the canvas, monitoring system load for higher orders.
  3. Adjust color or stroke settings if available.
  4. Export the resulting image once generation finishes.

Who it's for

Students and educators studying space-filling curves and fractal geometry, and anyone who wants a generative Hilbert-curve visual for art or reference.

Frequently asked questions

What is a space-filling curve?

A curve whose path, as recursion increases, comes arbitrarily close to passing through every point in a bounded area, while remaining a single unbroken line.

Why does higher recursion increase load?

Each additional order roughly quadruples the number of line segments the curve is built from, increasing render time.

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