This video is supplementary material for the paper, "Spin Transformations of Discrete Surfaces" by Keenan Crane, Ulrich Pinkall, and Peter Schröder. It demonstrates a curvature-minimizing flow that preserves conformal structure (indicated by the checkerboard pattern). The flow runs forward, then in reverse. More details can be found in the paper, available at http://users.cms.caltech.edu/~keenan/project_spinxform.html
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