Day 3 - Differential Space
Beyond the static definition of curvature in fixed conical intersections, the study of calculus based forms shifts the discourse from ratios to rates of change and from static observers towards evolutionary models. As the first step towards the introduction of curvature, calculus introduces a dialectic of discrete vs continuous with different type of control and results in radical dynamism of form in construction. Greg Lynn celebrated the morphodynamic tools of differential geometry in his article 'Animate Form', which coincided with the digital turn in architectural design. The history of differential space coincides in architecture with the typology of long span structures. In this class we introduce the geometric construction of NURBS (de Casteljau) and we 3D model the iconic TWA terminal of Eero Saarinen. In the representation tutorial we create a dynamic animation of cymatics through the parametric definition of a nurbs surface.
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Beyond the static definition of curvature in fixed conical intersections, the study of calculus based forms shifts the discourse from ratios to rates of change and from static observers towards evolutionary models. As the first step towards the introduction of curvature, calculus introduces a dialectic of discrete vs continuous with different type of control and results in radical dynamism of form in construction. Greg Lynn celebrated the morphodynamic tools of differential geometry in his article 'Animate Form', which coincided with the digital turn in architectural design. The history of differential space coincides in architecture with the typology of long span structures. In this class we introduce the geometric construction of NURBS (de Casteljau) and we 3D model the iconic TWA terminal of Eero Saarinen. In the representation tutorial we create a dynamic animation of cymatics through the parametric definition of a nurbs surface.
