I want to thank Shapeways so much for awarding me the Shapeways Education Grant to work on this project. This allows me to order my models from Shapeways completely free of charge! Doing so has been very exciting, but I’ll get to that more later. In this post, to demonstrate Fusion 360, I’ll show you how to build up the sphere we made in Mathematica last time, in the middle of the homotopy.
We decided a simple example to start off with would be the homotopy between a sphere with a hole in it and a point. You can think of this homotopy as if you were peeling an orange from the top, shrinking the peel as you go along until you are left with just the bottom point of the sphere. Difficult to imagine? To visualize it, I wrote up some Mathematica code.