GART

Hex Truchet

Each hex picks one of two arc orientations. Adjacent edge midpoints join with 120° arcs so paths continue across the honeycomb.

Hex Truchet: Each hex picks one of two arc orientations. Adjacent edge midpoints join with 120° arcs so paths continue across the honeycomb.Hex Truchet: Each hex picks one of two arc orientations. Adjacent edge midpoints join with 120° arcs so paths continue across the honeycomb.

About this pattern

Sébastien Truchet, 1704

Hex Truchet, tessellation, drawn by GART: Each hex picks one of two arc orientations. Adjacent edge midpoints join with 120° arcs so paths continue across the honeycomb.
Hex Truchet · CC BY 4.0

Each hex picks one of two arc orientations. Adjacent edge midpoints join with 120° arcs, so paths continue across the honeycomb instead of dying at the cell wall.

TopicsTessellation (opens in a new tab)Truchet tiles (opens in a new tab)Hexagonal tiling (opens in a new tab)

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

Behind the mathematics