“Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector

Abstract

The authors discuss a new reconfigurability of fragmentation phenomenon, technical-economic housing surfaces affecting the quality of life, likely to meet the constraints of the Inter sector of Civil Engineering, Architecture and Urbanism "CEAU" from the idea of build a residential dwelling in an urban environment on a divided surface for an adequate environment. The goal is to predict by a mathematical model of fractal fragmentation of surfaces with the natural element’s method coupled with Mandelbrot geometry. Although elevation in height is a solution, the management of the space built and developed is an open question. The simulation towards Africa of 2063, using a typical case of the city province of Kinshasa, in the Democratic Republic of Congo of Sub-Saharan Africa justifies one of the trends which highlights a consistency between the projections of 2035 and reality with the use of the "Engineering Equations Solver" software. The approximated singularities obscure the admissible threshold at the limit interfaces in “Yakam Matrix ”; if cities are only demographically concentrated in rural areas with a rate of 2.25-3 m2 / inhabitant and one of the distances of a fragmented plot is equal to or greater than 7.5±2.5 meters according to the current trend of affected countries. In addition to the introduction and conclusion, this work has four points: (i) The "Yakam Matrix" in the habitat; (ii) The reconfigurability of the fragmentation coupling by fractal geometry and natural elements; (iii) Formulation and coupling of numerical methods and fractal geometry; (iv) predictive mathematical modeling.