Topology of plane sections of periodic polyhedra with an application to the Truncated Octahedron

Roberto De Leo

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Topology of plane sections of periodic polyhedra with an application to the Truncated Octahedron

Roberto De Leo

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Abstract

The main results of A. Zorich and I. Dynnikov about plane sections of periodic surfaces are extended to the PL case. As an application, the Stereographic Map of a truncated octahedron, extended to the whole $\Rt$ by periodicity, is analyzed numerically.

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Roberto De Leo. 2005-02-10. Topology of plane sections of periodic polyhedra with an application to the Truncated Octahedron. https://arxiv.org/abs/math/0502219

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