Geodesic
Two interesting oriented matroids
Documenta mathematica, Tome 1 (1996), pp. 137-148.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Oriented matroids are a combinatorial model for configurations in real vector spaces. A central role in the theory is played by the realizability problem: Given an oriented matroid, find an associated vector configuration. % In this paper we present two closely related oriented matroids $\Omega_{14}^+$ and $\Omega_{14}^-$ of rank 3 with 14 elements that have interesting properties with respect to realizability. $\Omega_{14}^+$ and $\Omega_{14}^-$ differ in exactly one basis orientation.
Classification : 52B40, 14P10, 51A25, 52B30 
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     title = {Two interesting oriented matroids},
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Richter-Gebert, Jürgen. Two interesting oriented matroids. Documenta mathematica, Tome 1 (1996), pp. 137-148. http://geodesic.mathdoc.fr/item/DOCMA_1996__1__a13/