AN INTERACTIVE FOURIER EXPLORER
Every shape has a rhythm.
A thousand turns. One continuous line. Watch circles draw the world.
LIVE MATHEMATICS
NOW DRAWING
COUNTRY CONTOURGeorgia საქართველო
x(t) horizontal motion
y(t) vertical motion
ONE LINE · ENDLESS MOTION0%
BEHIND THE LINEComplex shapes.
Complex shapes.
Simple circles.
A contour becomes a sequence of points. A Fourier transform separates their horizontal and vertical motion into waves. Each rotating arm contributes one wave; together, they guide the white point along the shape.
x(t) = a₀ + ∑ [aₖ cos(kt) + bₖ sin(kt)]y(t) = c₀ + ∑ [cₖ cos(kt) + dₖ sin(kt)]
More harmonics preserve smaller details. Error is measured against the sampled contour, relative to its bounding-box diagonal.