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2006 Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron
Roberto De Leo
Experiment. Math. 15(1): 109-124 (2006).

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 {\small $\Rt$} by periodicity, is analyzed numerically.

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Roberto De Leo. "Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron." Experiment. Math. 15 (1) 109 - 124, 2006.

Information

Published: 2006
First available in Project Euclid: 16 June 2006

zbMATH: 1108.57014
MathSciNet: MR2229390

Subjects:
Primary: 37E35 , 53C12 , 53D17 , 57M50 , 65D18

Keywords: foliations , low-dimensional topology , Poisson geometry

Rights: Copyright © 2006 A K Peters, Ltd.

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