Geodesic
On the topology of cycles in pseudolinear programs
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 239-250 Cet article a éte moissonné depuis la source Math-Net.Ru

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By demand coming from the quasicrystal community, we present here a construction realizing an arbitrary oriented link in $\mathbb R^3$ by the graph of a 3d pseudolinear (or matroid) program. This gives a hint about possible “topological complexity” of rank 4 oriented matroids $\approx3d$ pseudoplane arrangements $\approx3d$ quasicrystal tilings. 
@article{ZNSL_2001_280_a17,
     author = {N. E. Mnev},
     title = {On the topology of cycles in pseudolinear programs},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {239--250},
     year = {2001},
     volume = {280},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a17/}
}
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N. E. Mnev. On the topology of cycles in pseudolinear programs. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 7, Tome 280 (2001), pp. 239-250. http://geodesic.mathdoc.fr/item/ZNSL_2001_280_a17/