x=sin(at), y=sin(bt+δ) — Lissajous Vase

The Lissajous Curve Vase

Complex interference patterns from harmonic motion.

Formula: x = A×sin(at), y = B×sin(bt + δ)

Named after Jules Lissajous (1822–1880), these curves appear on oscilloscopes when two frequencies interact. The ratios create mesmerizing patterns.

A conversation piece that holds succulents beautifully.