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The sound of an evolving floating sculpture

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arxiv 1201.4621 v1 pith:W5G77IUS submitted 2012-01-23 math.NA cs.NAmath.DGphysics.comp-ph

The sound of an evolving floating sculpture

classification math.NA cs.NAmath.DGphysics.comp-ph
keywords curvatureevolvejanemeanphilbrickresultingsculpturesurface
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Commissioned by MIT's in-house artist Jane Philbrick, we evolve an abstract 2D surface (resembling Marta Pan's 1961 "Sculpture Flottante I") under mean curvature, all the while calculating the eigenmodes and eigenvalues of the Laplace-Beltrami operator on the resulting shapes. These are then synthesized into a sound-wave embodying the "swan song" of the surfaces as the evolve to points and vanish. The surface is approximated by a triangulation, and we present a robust approach to approximate the normal directions and the mean curvature. The resulting video and sound-track were parts in the Jane Philbrick's exhibition "Everything Trembles" in Lund, Sweden, 2009.

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