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Visualization and Mathematics
We consider an eversion of a sphere driven by a gradient flow for elastic bending energy. We start with a halfway model which is an unstable Willmore sphere with 4-fold orientation-reversing rotational symmetry. The regular homotopy is automatically generated by flowing down the gradient of the energy from the halfway model to a round sphere, using the Surface Evolver. This flow is not yet fully understood; however, our numerical simulations give evidence that the resulting eversion is isotopicdoi:10.1007/978-3-642-59195-2_1 dblp:conf/vismath/FrancisSKBHC95 fatcat:tkyn6grtgbh57lof4szbs5wf34