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Epicycles Demo

Circles on circles. More epicycles can trace almost any closed path — including a square-ish loop.

Before you start

Circles on circles can trace almost any closed curve. That is why the old model was so flexible — and so suspicious.

Key idea

A model that can draw anything explains nothing until it is forced to make a risky prediction.

What you see

  • 1–5 nested circles
  • Blue tracer path

Try this

  1. Set 2 circles, then 4
  2. Pause and look at the path

Common mistakes

  • Equating ‘fits the path’ with ‘is the mechanism’

Glossary

Fourier intuition
Sums of circles can approximate other shapes.

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