Truchet Tiles

A square grid of quarter-circle pairs. Each tile flips by seed, so the sheet reads as one continuous maze of arcs.

Truchet Tiles: A square grid of quarter-circle pairs. Each tile flips by seed, so the sheet reads as one continuous maze of arcs.Truchet Tiles: A square grid of quarter-circle pairs. Each tile flips by seed, so the sheet reads as one continuous maze of arcs.

About this pattern

Sébastien Truchet, 1704

Truchet Tiles, tessellation, drawn by GART: A square grid of quarter-circle pairs. Each tile flips by seed, so the sheet reads as one continuous maze of arcs.
Truchet Tiles · CC BY 4.0

Sébastien Truchet’s tiles, here as quarter-circle pairs on a square grid. Each cell flips by seed. Because opposite corners always match, the arcs join into one continuous maze.

1D fold
A single row of tiles. Repeat the row downward and the maze covers the sheet.

Behind the mathematics