Alex Guerten

This family surfaces is a further development of last year's work, where I created a 3D version of the Spirograph: http://www.contralex.com/3D-spirograph.html. To translate the curves into surfaces, I used the periodicity of the initial curve and joined corresponding edges on the (discrete) curve with polygons. Although this approach creates mapping coordinates for the discrete model, I haven't figured out a way to use it to generate a parametrization of the surfaces in the smooth case. I was looking forward to discussing this problem with some of you at the conference, so if you have any ideas, feel free to contact me.

More pictures at http://www.contralex.com/spirograph-surfaces.html