Affine magic cubes of order 4: concepts and applications (Q2693238)

Summary: We convert a classical magic cube of order 4, which is an arrangement of \(\left\{1,2, \dots, 64\right\}\), to a cube of order 4 whose entries belong to \(F_2^6\). By using finite-dimensional vector spaces over the field \(F_2\), we introduce the notion of affine magic cubes and study their properties. The obtained results can be applied to describe some features of various types of magic cubes of order 4.