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Dodecet Vectors

The dodecet provides 12 discrete directions from Pythagorean triples. Each direction is exact, requiring no floating-point arithmetic.

Encoding Mode

Visualization

About Dodecet Encoding

The dodecet encodes any 2D direction using one of 12 exact Pythagorean vectors:

  • 4 cardinal directions: (±1, 0), (0, ±1)
  • 4 diagonal directions: (±1, ±1)
  • 4 knight directions: (±2, ±1), (±1, ±2)

Maximum angular error: ~15.5°

No floating-point drift - directions are stored as integer pairs!