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Swallowtail on the shore

Instantanés de recherche mathématique à Oberwolfach

Swallowtail on the shore

Les solides de Platon, Felix Klein, H. S. M. Coxeter et un battement de queue d’aronde: les cinq solides de Platon (le tétraèdre, le cube, l’octaèdre, icosaèdre et le dodécaèdre) ont toujours attisé la curiosité des mathématiciens, pas seulement à cause pure beauté, mais aussi à cause de leurs nombreuses propriétés de symétrie. Dans cet instantané, nous partirons de ces symétries, irons vers les groupes et les singularités pour finalement trouver le lien entre le tétraèdre et la queue d’aronde. Si notre exemple principal est le tétraèdre, chaque construction présentée dans cet article est valable pour n’importe quel autre solide de Platon.

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Sujet mathématique

Algèbre et théorie des nombres
Géométrie et Topologie

Auteur(s)

Ragnar-Olaf Buchweitz, Eleonore Faber

Licence

DOI

10.14760/SNAP-2014-007-EN

Télécharger PDF

snapshot-2014-007.pdf

PDF

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      Sujet mathématique

      Algèbre et théorie des nombres
      Analyse
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      Calcul numérique et calcul scientifique
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      Chimie et sciences de la terre
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