Recursive constructions are supplied for the matroid polytopes Ω_{r,n} in ranks 2 and 3 for every n, with software that computes them up to n=33 (rank 2) and n=10 (rank 3) and Schubert expansions for all isomorphism classes up to moderate n.
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The polytope of all matroids in ranks 2 and 3
Recursive constructions are supplied for the matroid polytopes Ω_{r,n} in ranks 2 and 3 for every n, with software that computes them up to n=33 (rank 2) and n=10 (rank 3) and Schubert expansions for all isomorphism classes up to moderate n.