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The regenerative architecture emerges with an approach beyond the sustainability of buildings, seeking to extend the relationship with the environment, in order to promote the regeneration of living systems, through a complete understanding of the place in architectural design. In this work, with a didactic objective, a study is carried out on the complex geometry of structures with regenerative potential in the architecture and its parametric modeling, as a means of explaining the knowledge involved in such surfaces. Based on two didactic theories that highlight the need to study the constitution of a knowledge with a view to transpositive processes, the principles of regenerative architecture are recognized and the elements of knowledge that involve the recurrent complex geometries in nature are explained, which develops its structures in strict relation with the dynamics that are processed in the natural environment. Aiming at studies of didactic transposition for architecture, the structuring of parametric modeling processes of such geometries is also integrated with the purpose of providing a network of concepts focused on the study of mathematical surfaces used in recent contemporary architecture.

A estruturação do saber relacionado a geometria complexa e a modelagem paramétrica de estruturas regenerativas na arquitetura