Sébastien Truchet1657–1729
Square-tile rotation system
French mathematician whose 1704 study showed how rotations of one divided square could generate remarkably varied ornamental fields.
A square grid of quarter-circle pairs. Each tile flips by seed, so the sheet reads as one continuous maze of arcs.
Sébastien Truchet, 1704

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.
Behind the mathematics
Square-tile rotation system
French mathematician whose 1704 study showed how rotations of one divided square could generate remarkably varied ornamental fields.