Rinaldi (Unciuleanu) Oana

A Mathematical Framework for Four-Dimensional Chess: Extending Game Mechanics Through Higher-Dimensional Geometry

2026 · AppliedMath

This paper develops a rigorous mathematical and computational framework for four-dimensional chess defined on the discrete hypercubic lattice {1,…, 8}4. We formalize piece movement using displacement sets in Z4, define adjacency via the Chebyshev metric, …