fourier drawing

one finger draws

two fingers orbit

pinch zooms

drag draws

middle-drag orbits

wheel zooms

one finger draws

two fingers orbit

pinch zooms

drag draws

middle-drag orbits

wheel zooms

Press and drag to draw · wheel zooms · middle-drag pivots

Curve inspector● LIVE

Input state: READY
Source samples: 0
Resampled count: 0
harmonic pairs: —
periodic resolution: 256 points
Closure gap: —
normalized rms error: —

Live mathematics

p · raw p̂ · reconstruction p̂ − p · residual

Inspect the derivations

Closure between start and final point

Δx — Δy — Δz —

Periodic reconstruction

Normalized RMS error derivation

Error energy———

Reference energy———

Squared error sum: —
Reference energy: —
Periodic samples: —

learn moresix paths into the math

follow the sampled points into rotating frequencies, then inspect what the approximation leaves behind.

definitions to inspect

watch the idea move · 3blue1brown

use the arrows or slider to step through harmonic pairs in powers of two. auto mode reaches at least 128 pairs, then loops. use the wheel to zoom and middle-drag to orbit.