Rays of the secondary fan of the Hypersimplex(2,7)

DOI10.5281/zenodo.12764658Zenodo12764658MaRDI QIDQ6697086

Dataset published at Zenodo repository.

Author name not available (Why is that?)

Publication date: 17 July 2024

Copyright license: No records found.

Description

This dataset contains four files describing the rays of secondary fan of the hypersimplex(2,7). hypersimplex_2_7_idmap.dat.xz maps IDs to the rays of the secondary fan, such that we may refer to the rays by that ID. hypersimplex_2_7_orbit_representatives.dat.xzmaps orbit sizes to sets of IDs of rays with that orbit size, but only one ray per orbit hypersimplex_2_7_histogram.dat.xzmaps spreads to sets of IDs of rays with that spread hypersimplex_2_7_orbit_histogram.dat.xz maps orbit sizes to sets of IDs of rays with that orbit size. The datasets are compressed using xz and can be read using polymake. The datasets were computed from the regular triangulations of the hypersimplex(2,7). Since these triangulations only came up to group action, first the secondary cone was computed for such a triangulation, then the rays were computed and subsequently the orbits of the rays were expanded.

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