The Sphere of Symmetries

A mapping of change ringing's inherent mathematics onto universal geometric patterns.

The 3,000 most popular methods form a perfect 3D phyllotaxis sphere. Their coordinates are calculated using the Golden Angle:

φ = 137.508°

The most popular methods sit at the North Pole, spiraling down mathematically to the South Pole.

Glowing threads connect methods that share identical permutation structures (Lead Head Codes), weaving a geometric web of mathematical symmetries.

✨ Click any classification below to isolate its symmetric threads!

Surprise
Bob
Treble Bob
Delight
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