"Diagonal constructions in an N-cube"
Ryabov G.G., Serov V.A.

An extension of the constructive world of cubical structures is considered on the basis of a bijective mapping of k-dimensional faces for an n-cube into words over a finite alphabet. In essence, this extension realizes symbolic computing and is intended for the representations of diagonal constructions in an n-cube and operations over them.

Keywords: bijective mapping, finite alphabet, cubants, diagonal constructions, digit-to-digit (symbol) operations, half-integer points

Ryabov G.G., e-mail: gen-ryabov@yandex.ru;   Serov V.A., e-mail: v_serov_@mail.ru – Research Computing Center, Lomonosov Moscow State University; Leninskiye Gory, Moscow, 119991, Russia