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

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