Space-Filling Curves

Curve type

Hilbert curve Peano curve (3×3) Z-order / Morton

Order / iterations: 4 Animation speed: 5

Colour by position Show grid

Stats

Curve typeHilbert

Order4

Grid16 × 16

Points256

Curve length255 steps

Hovered cell—

1D index d—

Hover or click a cell to read its 1D index d along the curve — the bijection d ↔ (x,y). Notice how the Hilbert curve keeps neighbouring indices close in 2D (good locality), while Z-order makes long diagonal jumps.