Two interesting oriented matroids

@inproceedings{RichterGebert1996TwoIO,
  title={Two interesting oriented matroids},
  author={J{\"u}rgen Richter-Gebert},
  year={1996}
}
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 Ω14 and Ω − 14 of rank 3 with 14 elements that have interesting properties with respect to realizability. Ω14 and Ω − 14 differ in exactly one basis orientation. The realizable oriented matroid Ω14 has at least… CONTINUE READING

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