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Math & ScienceAdvanced · Deeper mechanics or math#47

Fourier drawing

Epicycles that draw your shape

Snapshot

Decompose a path into rotating circles (Fourier series) and replay the drawing.

What this template is for

Stunning math communication and “how signals rebuild shapes” teaching.

Best when you need

  • Fourier series teaching
  • Math art performances
  • Signal processing intros
  • Conference openers

Usually includes

  • Path input or preset
  • Epicycle animation
  • Harmonic count control
  • Speed control
  • Trace the reconstructed path

Iteration ideas

Ask for these next in the same Build chat — one or two per turn.

  • Draw custom path with pointer
  • Complex-plane view
  • Audio of harmonics (playful)
  • Export animation

Who it serves

Educators, math communicators, artists

Prompt seed

Paste into web Grok Build, then refine.

Build a "Fourier drawing" using the Grok Build template as the base.
Goal: Epicycles that draw your shape
Primary use case: Fourier series teaching
Requirements: polished UI, mobile-first, working preview in one shot.
Tone: modern, restrained, production-demo quality — not a wireframe.

New to the loop? Learn web Build walks chat → preview → iterate → publish, using templates like this as practice ships.