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

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

2005-02-10

arxiv.org/abs/math/0502219v2

Mathematics

Differential Geometry

40 pages, 30 figures

Scientific paper

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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