In this article, I will present my research which is a novel interpretation on the inherent lineage in the geometry of architecture developed through architectural epochs, beginning with the seminal work of Leon Battista Alberti in the Renaissance, through to baroque and modernist theory and practice. It identifies the beginning of parametrisation with the formation of the disciplinary and professional territory of architecture with Alberti's writings in 16th century and the diffusion of classical notions of aesthetic theory, tracing its genealogy and its limits through into the 'second turn of non-standard architecture' in the 21st century by way of 17th and 18th mannerist and baroque architecture that eventually prevailed in the claim for the constructive capacity of parametric geometries in 'non-standard architecture'. Frederic Migayrou defines non-standard architecture in two fields of knowledge. In its formulation, it is 'a refusal of normalisation, of widespread standardisation, as a determining principle of Modernism.'~1 Non-standard also 'opposes the formalism of mathematical language, focused on its own objectivity by introducing open, infinitesimal models' based on 'non-standard analysis' by Abraham Robinson.2 It posits a 'dynamic structuralism' that underpins the interrelation of phenomena and meaning found in the mathematical models of morphogenesis by Rene Thorn.
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