Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron
De Leo, Roberto
Experiment. Math., Tome 15 (2006) no. 1, p. 109-124 / Harvested from Project Euclid
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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.
Publié le : 2006-05-14
Classification:  low-dimensional topology,  Poisson geometry,  foliations,  57M50,  53D17,  53C12,  37E35,  65D18 
@article{1150476908,
     author = {De Leo, Roberto},
     title = {Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron},
     journal = {Experiment. Math.},
     volume = {15},
     number = {1},
     year = {2006},
     pages = { 109-124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150476908}
}

De Leo, Roberto. Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron. Experiment. Math., Tome 15 (2006) no. 1, pp.  109-124. http://gdmltest.u-ga.fr/item/1150476908/