Rays of the secondary fan of the Hypersimplex(3,6)

<p>This dataset contains four files describing the rays of secondary fan of the hypersimplex(2,7).</p> <ul> <li><em>hypersimplex_3_6_idmap.dat.xz</em> maps IDs to the rays of the secondary fan, such that we may refer to the rays by that ID.</li> <li><em>hypersimplex_3_6_orbit_representatives.dat.xz </em>maps orbit sizes to sets of IDs of rays with that orbit size, but only one ray per orbit</li> <li><em>hypersimplex_3_6_histogram.dat.xz </em>maps spreads to sets of IDs of rays with that spread</li> <li><em>hypersimplex_3_6_orbit_histogram.dat.xz </em>maps orbit sizes to sets of IDs of rays with that orbit size.</li> </ul> <p>The datasets are compressed using xz and can be read using polymake.</p> <p>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.</p>