Symplectic Toric Geometry and the Regular Dodecahedron

Elisa Prato

Journal of Mathematics, 2015, vol. 2015, 1-5

Abstract:

The regular dodecahedron is the only simple polytope among the platonic solids which is not rational. Therefore, it corresponds neither to a symplectic toric manifold nor to a symplectic toric orbifold. In this paper, we associate to the regular dodecahedron a highly singular space called symplectic toric quasifold.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:967417

DOI: 10.1155/2015/967417

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