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Drawing a Spline on an Egg-Shaped Surface

This is part of an exercise to define the path of a particular spline (or curve) over the skin of an egg-shaped surface of revolution. It was critical to be able to predict exactly where the path of the spline went as it was calculated in a computer program, and then electonically transferred to the three-dimensional model for analysis and verification. This project began in 1993 as a method of programming a 7–Axis filament winding machine to produce asymmetrical and irregular forms; and this work was done as part of proving the fibre path software. The winding path software installed on the machine's controller was limited to simple solids of revolution, such as cylinders, cones and spheres — so this work was done to wind surfaces that did not fit into that category.

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Uploaded on December 22, 2011
Taken on December 22, 2011