Toric Geometry of the Regular Convex Polyhedra

We describe symplectic and complex toric spaces associated with the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rational, and the regular icosahedron is neither simple nor rational....

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Bibliographic Details
Main Authors: Fiammetta Battaglia, Elisa Prato
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2017/2542796