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A Quasi-Unary Representation of Discrete Taxicab Geometry

Metric Geometry 2015-02-13 v1

Abstract

In this paper we represent nn-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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Cite

@article{arxiv.1502.03676,
  title  = {A Quasi-Unary Representation of Discrete Taxicab Geometry},
  author = {Shahid Nawaz},
  journal= {arXiv preprint arXiv:1502.03676},
  year   = {2015}
}

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9 pages