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 article, we associate to the regular dodecahedron a highly singular space called symplectic toric quasifold.

Symplectic toric geometry and the regular dodecahedron / Prato, Elisa. - In: JOURNAL OF MATHEMATICS. - ISSN 2314-4785. - ELETTRONICO. - 2015:(2015), pp. 967417.1-967417.5. [10.1155/2015/967417]

Symplectic toric geometry and the regular dodecahedron

PRATO, ELISA
2015

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 article, we associate to the regular dodecahedron a highly singular space called symplectic toric quasifold.
2015
2015
1
5
Prato, Elisa
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1009084
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