Voronoi Structure of Space Integration with an Applied Roundabout Network- Part II

Abstract

Ali Essam El-Shazly

The dual Delaunay graph of Voronoi network unfolds into various geometric and topological properties of intangible space structure. Specifically, objective space integration of Delaunay layout determines the parameters of universal distance, distributiveness, geometric moments and traversable properties with their correlation in a single graph network. The pilot application on the network of roundabout Cairo defines the original space integrity for future conservation. The resultant analysis satisfies the hamiltonian circuiting with the highest layout integration of generator-9 in correlative measurements. On the contrary, the least integral generator-13 maintains the close ties with the adjacent generator-14 of better layout connectivity in compensation. Nevertheless, the core generators 3 & 4 of the layout form a dense overlapping circumcircle in correlation to cyclic graph minors, which boosts the global system integration. Future overview on computational Delaunay-graph of programmable network properties amalgamates a robust integral structure of space in prospective virtual reality with artificial intelligence.

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