David A. Slavin

Discrete 31-Based Magic Structures: The 31×31 Square, 31×31×31 Cube, and 31⁴ Hypercube

This paper presents a finite-field framework for a family of discrete mathematical structures of order 31: a 31×31 square, a 31×31×31 cube, and a four-dimensional 31⁴ hypercube. Using affine coordinate mappings over ℤ/31ℤ, the construction places consecutive integers bijectively...

Discrete 31-Based Magic Structures: The 31×31 Square, 31×31×31 Cube, and 31⁴ Hypercube

This paper presents a finite-field framework for a family of discrete mathematical structures of order 31: a 31×31 square, a 31×31×31 cube, and a four-dimensional 31⁴ hypercube. Using affine coordinate mappings over ℤ/31ℤ, the construction places consecutive integers bijectively...