Parametric curve / Cubic harmonics

Cubic harmonic curve

Geometry

A unit-circle motion minus a cubed, high-frequency harmonic. Angles are in radians; the default trace runs from 0 to 2π.

x(t) = cos(t) − [cos(550t)]³
y(t) = sin(t) − [sin(550t)]³

Frequency and power are integers. The amplitude scales both subtracted terms.

Shape & appearance

Harmonic frequency n Harmonic power p Harmonic amplitude A Line width Base colour Auto-sweep harmonic frequency

Saved PNGs

PNG captures are named with their parameter values. Commit the downloaded files to the repo and they will appear here automatically (fetched via the GitHub API).