Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron: Experimental Mathematics: Vol 15, No 1

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Abstract

The main results of A. Zorich and I. Dynnikov regarding plane sections of periodic surfaces are extended to the piecewise linear case. As an application, the stereographic map of a truncated octahedron, extended to all of ℝ³ by periodicity, is analyzed numerically.

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Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron

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Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron

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