Swallowtail on the shore

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Swallowtail on the shore

Platonic solids, Felix Klein, H. S. M. Coxeter and a flap of a swallowtail: The five Platonic solids tetrahedron, cube, octahedron, icosahedron and dodecahedron have always attracted much curiosity from mathematicians, not only for their sheer beauty but also because of their many symmetry properties. In this snapshot we will start from these symmetries, move on to groups, singularities, and finally find the connection between a tetrahedron and a “swallowtail”. Our running example is the tetrahedron, but every construction can be carried out with any other of the Platonic solids.

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Área matemática

Álgebra y Teoría de números
Geometría y Topología

Autor(es)

Ragnar-Olaf Buchweitz, Eleonore Faber

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2014-007-EN

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snapshot-2014-007.pdf

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