Lissajous Weave

Interlocking harmonic traces form a floating woven knot. Small phase offsets create depth and ribbons of negative space.

Lissajous Weave: Interlocking harmonic traces form a floating woven knot. Small phase offsets create depth and ribbons of negative space.Lissajous Weave: Interlocking harmonic traces form a floating woven knot. Small phase offsets create depth and ribbons of negative space.

About this pattern

Jules Antoine Lissajous, 1857 · harmonic frequency ratios

Lissajous Weave, lissajous curve, drawn by GART: Interlocking harmonic traces form a floating woven knot. Small phase offsets create depth and ribbons of negative space.
Lissajous Weave · CC BY 4.0

An original parametric line study. Density controls the number of traces, form changes their geometry, and turn and tilt choose the projection. Motion follows a closed twenty-four-second cycle; the selected frame is preserved in saved drawings and exports.

Behind the mathematics

Nathaniel Bowditch1773–1838

The same curves by pendulum, 1815

American mathematician and navigator who studied the same harmonic curves with a compound pendulum decades before Lissajous.