Вычислительные методы и приложения

Diagonal constructions in an $n$-cube

G. G. Ryabov, V. A. Serov

M.V. Lomonosov Moscow State University, Research Computing Center

Abstract: 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.

UDC: 512.531; 515.124; 004.2

Received: 25.09.2013