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Eisenstein– exact hexagonal arithmetic for Rust (zero drift after 10k rotations)

Eisenstein integers provide exact hexagonal grid arithmetic using integer coordinates, eliminating floating-point drift. In applications like navigation, gaming, and sensor fusion, rotations remain precise after thousands of iterations, outperforming F32 and F64 with less memory.

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Eisenstein– exact hexagonal arithmetic for Rust (zero drift after 10k rotations)
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Under the source content permission, this page provides an editorial summary, key points, and a link to the original article.

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Key points

  • Eisenstein integers represent hex grid points as integer pairs, enabling exact arithmetic without floating-point errors.
  • 60° rotations stay on the lattice; six rotations return to the original point bit-identically.
  • Compared to F32 and F64, Eisenstein integers show zero drift after 10,000 rotations and use less memory per coordinate.

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