A Quasi-Unary Representation of Discrete Taxicab Geometry

preprint2014arXivOpen access

Abstract

In this paper we represent n−n-dimensional discrete Taxicab geometry by base--(4n+14n+1) numeral system. The algebraic structure of this base--(4n+14n+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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