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

Jean Kitoko di Sola; Tshiswaka Ngalula Kanyinda Martin; Mbambu Kabeya Shaloom; Kinyoka Kabalumuka; Cimbela Kabongo; Mondjalis Poto; Mbikayi Mpanya; Léonard Kabeya Mukeba Yakasham

doi:doi:10.11648/j.ijsmit.20210702.12

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

Jean Kitoko di Sola, Tshiswaka Ngalula Kanyinda Martin, Mbambu Kabeya Shaloom, Kinyoka Kabalumuka, Cimbela Kabongo, Mondjalis Poto, Mbikayi Mpanya, Léonard Kabeya Mukeba Yakasham

Published in International Journal of Sustainability Management and Information Technologies (Volume 7, Issue 2)

Received: 16 July 2021 Accepted: 21 August 2021 Published: 29 November 2021

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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.

Published in	International Journal of Sustainability Management and Information Technologies (Volume 7, Issue 2)
DOI	10.11648/j.ijsmit.20210702.12
Page(s)	36-47
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Modelling, Habitat, Fragmentation, Fractal, Method of Natural Elements, GCAU Inter-sector, Yakam Matrix, Simulation, Sustainability

References

[1]	Kitoko di Sola, Mbambu K. Shaloom, Leonard Kabeya Mukeba Yakasham (2019) Fractal modelling of partition habitable areas in urban environment overcrowds in Democratic Republic of Congo in Subsaharian Africa, International Journal of Civil Engineering, Vol. 6, 9, 2019, 1-10, doi: 10.14445/23488352/IJCE-V618P101 et al., JIGC, 2019.
[2]	Foville, Alfred de (1885), Études économiques et statistiques sur la propriété foncière: le morcellement, BnF Paris, 1885.
[3]	L. J. Lebret (2000), Revue Foi et Développement, Paris, no 280, janvier-février.
[4]	BEI-ONU-Habitat, Journée de l’Afrique 2020, Des villes centrées sur l’humain, Dakar, 2020.
[5]	Racodi C. (1997), The urban challenge in Africa Growth and Management of its large cities, United Nations University Press, Tokyo-New York.
[6]	Celine Boué (2013); Changement institutionnel et pratiques de securisation des droits fonciers: le cas d’une commune rurale des hautes Terres malgaches (Faratsiho), These College Doctoral de Languedoc-Roussillon.
[7]	Jean-Louis Chaleard, Evelyne Meselier (2010), Introduction, questions foncieres et dynamiques territoriales dans les pays du Sud: Nouveaux liens, nouvelle approche, Annales de Geographie,/ 6 no 676, pp 587-596.
[8]	Halleux, J.-M.(2015), Les territoires périurbains et leur développement dans le monde: un monde en voie d'urbanisation et de périurbanisation. In J. Bogaert, & J.-M. Halleux, Territoires périurbains. Développement, enjeux et perspectives dans les pays du Sud (pp. 43-61). Gembloux: Les Presses Agronomiques de Gembloux.
[9]	ONU-HABITAT (2021), Journal ONU-Habitat, 10 février 2020 et ODD du 30 mars 2021.
[10]	World Academy Tuning (2017), Word Summit 2017, Brussels 2017: “Agenda of Africa 2063.
[11]	Watson, V. (2009), The planet city sweeps the poor away.'*: Urban planning and the 21st century urbanization. Progress in Planning, 72, 2009, 151-193.
[12]	J. P. Messina, K. R. Sambieni, P. Mbevo, J. P. Mate, J. Bogaert & J. M. Halleux (2019), La croissance de l’urbanisation morphologique de Kinshasa en 1979 et 2015: analyse densimétrique et de la fragmentation du bâti. (BSGL, 2019).
[13]	Jean-Pierre Messina, Jean-Pierre Mate et Jean-Marie Halleux (2018), Mécanismes fonciers et production de l’habitat à Kinshasa, 2018, Communication orale aux Rencontres Internationales de l’Association pour la Promotion de l'Enseignement et de la Recherche en Aménagement et Urbanisme (APEREAU).
[14]	Leonard Kabeya Mukeba (2007), Etude du piegeage de la ligne de contact lors de l’evaporation des gouttelettes, PhD Thesis of University of Liege, Belgium.
[15]	Joseph Goffaux Cicm (1990), De la dreive des continents a la tectonique des plaques, Collection U, CRP Kinshasa, 1990.
[16]	Jean Jacques Gervais (2009), Introduction aux fractals et aux systèmes dynamiques Jean-Jacques Gervais, Version.
[17]	Kris Gurung (2017), Fractal Dimension in Architecture: An Exploration of Spatial Dimension, 29.08.2017.- file:///C:/Users/Perth%20to%20Go/Downloads/FractaldimensioninArchitectureAnExplorationofSpatialdimension2017.pdf.
[18]	Salingaros, Nikos A. (2001), Fractals in the new architecture. first published in Archimagazine. Online, 2001. Available from http://www.katarxis3.com/Salingaros-Fractals.htm.
[19]	Ostwald, Michael J. & Vaughan, Josephine (2016) The Fractal Dimension of Architecture. First edition, Italy, ISBN 978-3-319-32424-1, doi 10.1007/978-3 319-32426-5, A product of Birkhauser Basel.
[20]	Ostwald, M. J.(2001),. Fractal Architecture: Late Twentieth Century Connections Between Architecture and Fractal Geometry. The Nexus Network Journal, 3. Birkhäuser-Verla., 2001 Online, Available from: https://doi.org/10.1007/s00004-000-0006-1.
[21]	B. Mandelbroot (1982), The fractal geometry of nature, Freeman.
[22]	V. Thomée (2001), «From finite differences to finite elements: A short history of numerical analysis of partial differential equations», J. Comput. Appl. Math., vol. 128, no 1 2, p. 1 54, mars 2001.
[23]	Leonard Kabeya Mukeba Yakasham (2004), Numerical simulation of interfacial free energy by finite element method, EURADH 2004.
[24]	Yosr Ghqzzi (2019) Simulation numérique des problèmes mécaniques non linéaires par approche misxte MEF -MESHLES, These université ploychnique, Université de Troyes.
[25]	Kabeya Mukeba et Kabongo Mulamba (1995), Détermination de facteur « M » en fissuration d’une culasse par la méthode des éléments finis, RCTA, Vol. 1, no 2.
[26]	Illoul A.-L. (2008), «Mise en øeuvre de la méthode des éléments naturels contrainte en 3D Application au Cisaillage adiabatique», Ecole nationale supérieure d’arts et métiers, ENSAM.
[27]	Chinesta F., S. Cescotto, E. Cueto, et P. Lorong (2011), Natural element method for the simulation of structures and processes. London; Hoboken, N. J.: ISTE; Wiley.
[28]	Aurenhammer F. et R. Klein (2000), «Voronoi Diagrams», in Handbook of Computational Geometry, Elsevier Science Publishing, p. 201 290.
[29]	Sukumar N., B. Moran, et T. Belytschko (1980), « The natural element method in solid mechanics », Int. J. Numer. Methods Eng., vol. 43, no 5, p. 839 887.
[30]	UN-HABITAT (2020), Rapport sur l’état des villes dans le monde 2020.- https://urbanoctober.unhabitat.org/sites/default/files.-11/Final%20World%20Cities%20Report%20Press%20Release_French.pdf.pdf du 28/06/2021 3 h35’.
[31]	K. R. Sambieni, J. P. Messina, A. M. Biloso, J. M. Halleux, R. Occhiuto, J. Bogaert (2018) Les statuts morphologiques d’urbanisation des communes de Kinshasa en République Démocratique du Congo, Tropicultura.
[32]	Saint Moulin, L. (2010). Ville et organisation de l'espace en République Démocratique du Congo, L'Harmattan, Paris 2010.
[33]	Roland Pourtier (2018) La République Démocratique du Congo face au défi démographique, Septembre 2018, Notes de l’IFRI, Centre Afrique Subsaharienne.
[34]	Ntungila-Nkama F. (2008), Pratiques populaires liées a la production et a l’appropriation de l’espace en périphérie de la ville de Kinshasa (RD Congo), Thèse de Doctorat, Université catholique de Louvain.
[35]	Lelo Nzuzi F. et Tshimanga Mbuyi C.(2004), Pauvreté à Kinshasa, Cordaid, la Haye.
[36]	Trefont T.(2004), Ordre et désordre à Kinshasa, Réponse populaire a la faillite de l’; Etat, l’Harmattan, Paris.
[37]	Patrice A. Harou et Anne Stenger (2010), Les grands courants actuels de pensée en économie de l’environnement, Liaison Energie de la Francophonie, nos 66-67.
[38]	UN-HABITAT (2020), Rapport de 2018 et de 2020 https://urbanoctober.unhabitat.org/sites/default/files/2020-11/Final%20World%20Cities%20Report%20Press%20Release_French.pdf.pdf.
[39]	Kalala Mwana Dibu Pierre Claver (2021), Déclaration de Juin, 2021.
[40]	Katalayi Mutombo Hilaire (2014), Urbanisation fabrique à Kinshasa, Defis et opportunites d; amenagement, Universite Bordeaux Montaigne.
[41]	Jean Pierre Messina Ndzomo, Consommation de la ressource fonciere periurbanisation residentielle etefficacitee urbaine a Kinshasa, These Universite de Liege, ERAIFT.
[42]	UN-Habitat (2010), L'état des ville africaines 2010: Gouvernance, Inégalités et Marché Fonciers Urbains. Novembre 2010, Nairobi.
[43]	Benzaoui Amel (2013), Le processus de création d’un habitat individuel de qualité cas de la ville d’Ain Beidahi, faculté des sciences de la terre département d’architecture, Magister en architecture, d’option urbanisme, Université Badji Mokhtar – Annaba d’Algérie, Année 2012-2013.
[44]	Pivovarenko Y. (2020) Negative Electrization of the Sargasso Sea as the Cause of Its Anomaly. American Journal of Electromagnetics and Applications, 8 (2), 33-39.
[45]	Tshisuaka Ngalula Kanyinda Martin (2019), Déclin socioéconomique de la ville de Mbuji Mayi (RD Congo): Essai d’applicabilité de concept Shrinking city, Thèse de Doctorat en Art de Bâtir et Urbanisme (Architecture), Université Libre de Bruxelles.

Cite This Article

Plain Text BibTeX RIS

APA Style

Jean Kitoko di Sola, Tshiswaka Ngalula Kanyinda Martin, Mbambu Kabeya Shaloom, Kinyoka Kabalumuka, Cimbela Kabongo, et al. (2021). “Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector. International Journal of Sustainability Management and Information Technologies, 7(2), 36-47. https://doi.org/10.11648/j.ijsmit.20210702.12

Copy | Download

ACS Style

Jean Kitoko di Sola; Tshiswaka Ngalula Kanyinda Martin; Mbambu Kabeya Shaloom; Kinyoka Kabalumuka; Cimbela Kabongo, et al. “Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector. Int. J. Sustain. Manag. Inf. Technol. 2021, 7(2), 36-47. doi: 10.11648/j.ijsmit.20210702.12

Copy | Download

AMA Style

Jean Kitoko di Sola, Tshiswaka Ngalula Kanyinda Martin, Mbambu Kabeya Shaloom, Kinyoka Kabalumuka, Cimbela Kabongo, et al. “Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector. Int J Sustain Manag Inf Technol. 2021;7(2):36-47. doi: 10.11648/j.ijsmit.20210702.12

Copy | Download

@article{10.11648/j.ijsmit.20210702.12,
  author = {Jean Kitoko di Sola and Tshiswaka Ngalula Kanyinda Martin and Mbambu Kabeya Shaloom and Kinyoka Kabalumuka and Cimbela Kabongo and Mondjalis Poto and Mbikayi Mpanya and Léonard Kabeya Mukeba Yakasham},
  title = {“Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector},
  journal = {International Journal of Sustainability Management and Information Technologies},
  volume = {7},
  number = {2},
  pages = {36-47},
  doi = {10.11648/j.ijsmit.20210702.12},
  url = {https://doi.org/10.11648/j.ijsmit.20210702.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsmit.20210702.12},
  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.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - “Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector
AU  - Jean Kitoko di Sola
AU  - Tshiswaka Ngalula Kanyinda Martin
AU  - Mbambu Kabeya Shaloom
AU  - Kinyoka Kabalumuka
AU  - Cimbela Kabongo
AU  - Mondjalis Poto
AU  - Mbikayi Mpanya
AU  - Léonard Kabeya Mukeba Yakasham
Y1  - 2021/11/29
PY  - 2021
N1  - https://doi.org/10.11648/j.ijsmit.20210702.12
DO  - 10.11648/j.ijsmit.20210702.12
T2  - International Journal of Sustainability Management and Information Technologies
JF  - International Journal of Sustainability Management and Information Technologies
JO  - International Journal of Sustainability Management and Information Technologies
SP  - 36
EP  - 47
PB  - Science Publishing Group
SN  - 2575-5110
UR  - https://doi.org/10.11648/j.ijsmit.20210702.12
AB  - 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.
VL  - 7
IS  - 2
ER  -

Copy | Download

Author Information

Jean Kitoko di Sola

Department of Physics & Applied Sciences, Sciences Faculty, University Pedagogic National Kinshasa, Kinshasa, DR Congo
Tshiswaka Ngalula Kanyinda Martin

Institut Supérieur d’Architecture et d’Urbanisme, Kinshasa, DR Congo
Mbambu Kabeya Shaloom

Institut Supérieur d’Architecture et d’Urbanisme, Kinshasa, DR Congo
Kinyoka Kabalumuka

Department of Physics & Applied Sciences, Sciences Faculty, University Pedagogic National Kinshasa, Kinshasa, DR Congo
Cimbela Kabongo

Department of Physics & Applied Sciences, Sciences Faculty, University Pedagogic National Kinshasa, Kinshasa, DR Congo
Mondjalis Poto

Institut Supérieur de Techniques Appliquées de Kinshasa, Kinshasa, DR Congo
Mbikayi Mpanya

Institut Supérieur de Statistiques ISS Kinshasa, Kinshasa, DR Congo
Léonard Kabeya Mukeba Yakasham

Institut Supérieur de Techniques Appliquées de Kinshasa, Kinshasa, DR Congo

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Jean Kitoko di Sola, Tshiswaka Ngalula Kanyinda Martin, Mbambu Kabeya Shaloom, Kinyoka Kabalumuka, Cimbela Kabongo, et al. (2021). “Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector. International Journal of Sustainability Management and Information Technologies, 7(2), 36-47. https://doi.org/10.11648/j.ijsmit.20210702.12

Copy | Download

ACS Style

Jean Kitoko di Sola; Tshiswaka Ngalula Kanyinda Martin; Mbambu Kabeya Shaloom; Kinyoka Kabalumuka; Cimbela Kabongo, et al. “Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector. Int. J. Sustain. Manag. Inf. Technol. 2021, 7(2), 36-47. doi: 10.11648/j.ijsmit.20210702.12

Copy | Download

AMA Style

Jean Kitoko di Sola, Tshiswaka Ngalula Kanyinda Martin, Mbambu Kabeya Shaloom, Kinyoka Kabalumuka, Cimbela Kabongo, et al. “Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector. Int J Sustain Manag Inf Technol. 2021;7(2):36-47. doi: 10.11648/j.ijsmit.20210702.12

Copy | Download

@article{10.11648/j.ijsmit.20210702.12,
  author = {Jean Kitoko di Sola and Tshiswaka Ngalula Kanyinda Martin and Mbambu Kabeya Shaloom and Kinyoka Kabalumuka and Cimbela Kabongo and Mondjalis Poto and Mbikayi Mpanya and Léonard Kabeya Mukeba Yakasham},
  title = {“Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector},
  journal = {International Journal of Sustainability Management and Information Technologies},
  volume = {7},
  number = {2},
  pages = {36-47},
  doi = {10.11648/j.ijsmit.20210702.12},
  url = {https://doi.org/10.11648/j.ijsmit.20210702.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsmit.20210702.12},
  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.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - “Yakam Matrix” as a Predictive Fractal Fragmentation Model of RSNEM: Sustainable Technico-Economic Neo-reconfigurability at the Inter Housing Sector
AU  - Jean Kitoko di Sola
AU  - Tshiswaka Ngalula Kanyinda Martin
AU  - Mbambu Kabeya Shaloom
AU  - Kinyoka Kabalumuka
AU  - Cimbela Kabongo
AU  - Mondjalis Poto
AU  - Mbikayi Mpanya
AU  - Léonard Kabeya Mukeba Yakasham
Y1  - 2021/11/29
PY  - 2021
N1  - https://doi.org/10.11648/j.ijsmit.20210702.12
DO  - 10.11648/j.ijsmit.20210702.12
T2  - International Journal of Sustainability Management and Information Technologies
JF  - International Journal of Sustainability Management and Information Technologies
JO  - International Journal of Sustainability Management and Information Technologies
SP  - 36
EP  - 47
PB  - Science Publishing Group
SN  - 2575-5110
UR  - https://doi.org/10.11648/j.ijsmit.20210702.12
AB  - 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.
VL  - 7
IS  - 2
ER  -

Copy | Download