Necker Lattice

A field of wireframe cubes with nothing to say which face is nearer. Stare, and the whole field turns inside out at once.

Necker Lattice: A field of wireframe cubes with nothing to say which face is nearer. Stare, and the whole field turns inside out at once.Necker Lattice: A field of wireframe cubes with nothing to say which face is nearer. Stare, and the whole field turns inside out at once.

About this pattern

Louis Albert Necker, 1832

Necker Lattice, optical illusion, drawn by GART: A field of wireframe cubes with nothing to say which face is nearer. Stare, and the whole field turns inside out at once.
Necker Lattice · CC BY 4.0

Necker, a crystallographer, noticed that his drawings of rhomboids kept reversing while he worked on them. Drawn in parallel projection with no occlusion, a cube gives two equally good readings and the visual system cannot hold both, so it alternates. Set out as a lattice the switch tends to propagate: neighbouring cubes flip together, and the sheet reverses as one surface rather than cube by cube.

Behind the mathematics

Louis Albert Necker1786–1861

The reversing cube, 1832

Swiss crystallographer who in 1832 noticed that a drawn cube flips between two readings of which face is in front.