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The creation of irregular curves has evolved from employing splines to computer aided design (CAD); with French Curves being an integral part of this evolution. Such curvilinear irregularity can be seen in the curve of the auditorium at the new academic building. This project investigates the origins of the French Curve, in terms of its history, usage, and mathematical components. For centuries, French curves were used to accurately create portions of ellipticals and other curves in schematic drawings. The commonly used Burmester set contains an amalgamation of mathematical equations where the point of inflection is not symmetrical. These are derived from multiple curves, such as the Euler spiral, conics, and clothoid curves. This pre-defined template aids architects significantly in their exploration into curvilinear architecture. The architect’s cognizance of the French curve can provide context for parametric design. It can also visualize notable differences in the creation of the curve from mathematical equations (French Curve) to an algorithm of control points and ratios (CAD).


This poster was presented at the 29th Semi-Annual Honors and Undergraduate Research Scholars Poster Presentation at New York City College of Technology on December 5, 2018.

Mentor: Prof. Jason A. Montgomery NCARB LEED AP.



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