Seminar Gulliver, José Bico (ESPCI)

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2 décembre 11:30 » 12:30 — Bibliothèque PCT - F3.04

Challenging Gauss theorem ?

Cartographers have early realized that it is impossible to draw a flat map of the Earth without deforming continents. Gauss later generalized this geometrical constrain in his Theorema Egregium. Nevertheless, Nature commonly challenges this remarkable theorem : leaves or petals may develop into very complex shapes by differential growth. From an engineering point of view, similar shape changes can also be obtained with different strategies. In particular, complex 3D shapes can be obtained when a network of channels embedded in a flat patch of elastomer is inflated. Can we program the developped shape ?





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