Hilbert Curve Sweep

About Hilbert Curve Sweep

A single unbroken line finds its way through every cell of the grid exactly once, and you watch it fill the square as it goes.

Part of Curve & Field Backgrounds. Runs 15 seconds by default, exports in 16:9, 9:16, 1:1 and 4:5, as MP4 or transparent WebM up to 8K.

Related animations

  • One strip folded in half over and over, never crossing itself, tiling the plane into a shape that looks designed but is only folding.

  • Every edge sprouts a smaller spike on every pass, and the outline draws itself around until the snowflake closes on its own start.

  • Six trunks leave the centre at once and branch outward together, so the frame fills from the middle in a single symmetrical burst.

  • One continuous path that never lifts or crosses, yet the triangle-inside-a-triangle of Sierpinski appears as the line finishes.

  • A two line iterated map is run tens of thousands of times and the points pile up into a fractal cloud that never quite crosses its own path.

  • Sand settles along the still lines of a vibrating plate, and as the driving mode swings through zero the whole nodal figure inverts and reforms.

  • A chain of circles each turn on the rim of the one before, and the pen at the end of the chain traces the closed figure their speeds add up to.

  • Every point in the frame is given a direction by a drifting noise field, and hundreds of short streamlines follow whatever direction they land on.