Modular architecture shape design recursive algorithm

¹ Laboratory of Research on Eco-innovation of Industry and Energetic, ECAM-EPMI,13 Boulevard de l'Hautil, 95092 Cergy-Pontoise (France).
² Laboratoire of Mechanic and Materials of Civil Engineering, University of Cergy-Pontoise (France).

^* Corresponding author: r.sasportas@ecam-epmi.com

Abstract

The architecture and architectural shape of a building plays an important role in the interior housing design, many concepts have been developed to optimize this and to have a housing that reflects both visual and architectural comfort or even thermal one. The evolution of these houses however is not controlled, modular architecture has appeared because among its basic principles is being built from modules that can be assembled, then separately modified or even disassembled, the advantage of this typology of architecture is that it is fast in execution, light in installation and above all has very little impact on the environment in which it is part. These buildings are characterized by more dynamic geometries, which results in a very rich architectural language and an interesting sky line, however, to be able to project all the possibilities is a challenge in itself. In this article the discrete geometry is treated through the development of an algorithm that illustrates the process that allows to expose all possible cell combinations, the latter represents the basic module of modular architecture, the most attracting choices will be arranged to illustrate the formal and architectural optimization of a house. In this study the emphasis will be placed on the mathematical part in order to highlight the relationship between geometry and its influence on the final architectural rendering.