Abstract

Major problem of fast sprawling slums in Egypt addresses the social study in details. Objective survey study on the micro room-level explores the social structure of building layout. Methodically, geometric connectivity of functional room graph relates the missing distance parameter to the space syntax topology of survey layouts. In process, dual graphs of the same layout retrieve the social integrity of space network with algorithmic properties of universal distance, connectivity patterns and isomorphic functions in comparison. Concluded remarks enforce the deep-distant inhabitant functions of bedrooms and utilities by geometrical probabilities of inter-connected integrity to overcome the visitor’s shallow layout integration. Both graphs, despite their contrasting connectivity algorithms, correlate in top-tier layout integrity, which signifies the social essence of layout formation in topological and geometrical dimensions. Not only the study reveals the multidimensional social structure of redeveloping Egyptian slum, but foresees topo-geometric graph morphology in artificial intelligence prospects as well.

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