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At the Institut Henri Poincaré, the exhibition "Esthétopies, variétés d'espaces sensibles" (esthetopies, varieties of sensitive spaces) has the ambitious goal of sharing the fascinating beauty of non-Euclidian geometry with the general public. This project originated from the initiative of Pierre Berger, a former student of Decorative Arts, now a mathematician specialising in three-dimension spaces. Inspired as much by Man Ray's writings as by the work of William Thurston, he designed a…

Video
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When maths turn into art
20170052_0002
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Wire surface based on a helix and created by Joseph Caron, professor of descriptive geometry at the École normale supérieure (ENS), on 16 November 1914. It is traced on a cylinder of radius r, rolled up in a coaxial cylinder of radius R > r. The surface contains three families of helices: those belonging to the cylinder of radius r are red, those belonging to the cylinder of radius R - r are blue, and those belonging to the cylinder of radius R are yellow. It forms part of a collection of…

Photo
20170052_0002
Surface en fil de fer, engendrée par une hélice et tracée sur un cylindre de rayon r
20170052_0003
Open media modal

Wire surface based on a helix and created by Joseph Caron, professor of descriptive geometry at the École normale supérieure (ENS), on 16 November 1914. It is traced on a cylinder of radius r, rolled up in a coaxial cylinder of radius R > r. The surface contains three families of helices: those belonging to the cylinder of radius r are red, those belonging to the cylinder of radius R - r are blue, and those belonging to the cylinder of radius R are yellow. It forms part of a collection of…

Photo
20170052_0003
Surface en fil de fer, engendrée par une hélice et tracée sur un cylindre de rayon r
20170052_0006
Open media modal

Kummer quartic surface with eight real double points and eight imaginary double points. It was created by Karl Rohn, a German mathematician, in 1899. It has eight real double planes that meet the surface along eight conics marked on the model in plaster. It forms part of a collection of mathematical objects at the Institut Henri Poincaré (IHP).

Photo
20170052_0006
Surface quartique de Kummer à huit points doubles réels et huit points doubles imaginaires

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