Fraser Spiral

Concentric circles built from leaning cords. Trace one with a finger and it closes; let go and it winds inward again.

Fraser Spiral: Concentric circles built from leaning cords. Trace one with a finger and it closes; let go and it winds inward again.Fraser Spiral: Concentric circles built from leaning cords. Trace one with a finger and it closes; let go and it winds inward again.

About this pattern

James Fraser, 1908

Fraser Spiral, optical illusion, drawn by GART: Concentric circles built from leaning cords. Trace one with a finger and it closes; let go and it winds inward again.
Fraser Spiral · CC BY 4.0

Fraser's twisted cord: each ring is made of short segments set at an angle to the ring itself, on a background that alternates with them. Local tilt is pooled along the contour before the shape is judged, so the accumulated lean is read as a slow change of radius. The circles are exact. Setting the lean to zero collapses the spiral instantly, which is the quickest way to prove it to yourself.

Behind the mathematics

James Fraser

The twisted-cord illusion, 1908

British psychologist who in 1908 described the twisted-cord illusion, concentric circles that appear to spiral inward.