# Epicycles — Rotations Puzzle | Mathallery

Source: https://mathallery.com/games/epicycles/

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# Epicycles

Rotations · 30 levels

Spin circles on circles to draw the target shape.

## How to play

- Each circle spins around the tip of the one before. Give every circle a size card and a spin card, then tap Draw.
- Spin +2 turns twice per lap anticlockwise ↺, −1 once clockwise ↻. The pen on the last tip draws the curve.
- Match the faint target. Its reach is the sum of the sizes; it repeats after a 1/m turn, where m is the gap between the spins (+1 and −3 → 4).

With three circles the symmetry number is the biggest number that divides every gap between spins. Swapping two whole circles never changes the drawing.

[Open Epicycles](https://mathallery.com/#/play/epicycles/1)

Teeter, Tint and Echo Heist are free starters. Other games unlock through earned game choices or permanent packs. Your progress stays in the browser; optional sign-in saves it to your website account.