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A Quasi-Unary Representation of Discrete Taxicab Geometry

Published 28 Dec 2014 in math.MG | (1502.03676v1)

Abstract: In this paper we represent $n-$dimensional discrete Taxicab geometry by base--($4n+1$) numeral system. The algebraic structure of this base--($4n+1$) system is similar to unary system, we call it quasi-unary (QU) representation. QU representation generalizes translation and rotation to transform any geometrical object (shape) into another shape.

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