Meta Architectures Algorithmic Design With Inverted Catenary On Nurbs Surfaces and Simulations of Hooke's Elasticity In Relation To Gaudí'S Funicular Method

In the post-digital era, architectural designers face challenges in maintaining their creative autonomy amidst technological advancements. This study introduces the concept of meta architectures, integrating algorithmic design and physical properties into architectural geometry. Based on Gaudí's funicular models and Hooke's law of elasticity, simulations were developed in Grasshopper, focusing on inverted catenary curves on NURBS surfaces. The methodology includes direct observation, algorithm development, and experimental validation with analog and digital tests. Results show a strong correlation between digital and physical models, optimizing structural strength and validating the effectiveness of automation in fabrication. This comprehensive approach highlights the importance of combining architectural theories and technological tools, proposing a method that enhances architectural practice and underscores the relevance of designer authorship in technological environments. For future research, it is suggested to delve into self-learning algorithms in relation to these meta architectures to improve their predictive and adaptive capabilities.