Abstract
This study is based on Lobachevsky’s hypothesis that different parts of space satisfy different geometries such as the Euclidean, non-Euclidean, and projective ones. Based on the theory of arithmetic graphs, three systems of algebraic equations were constructed that are embedded in a discrete metric space in which a point is an integer allowing to define a straight line, a plane, and other elements except for 0.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2019, pp. 24–32.
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Grigoryan, Y. Axioms of Heterogeneous Geometry. Cybern Syst Anal 55, 539–546 (2019). https://doi.org/10.1007/s10559-019-00162-3
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DOI: https://doi.org/10.1007/s10559-019-00162-3