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4 results for “hypersimplex”
Regular triangulations of the Hypersimplex(3,6)
<p>This dataset contains the 42 489 025 regular triangulations of the Hypersimplex(3,6) computed with mptopcom. The triangulations were computed up to symmetry and the result contains one representative from every orbit. The dataset is structured as follows:</p> <ul> <li>`hypersimplex_3_6.dat` contains the input points and the group acting.</li> <li>`hypersimplex_3_6.result.*.xz` contains the output from mptopcom.</li> <li>`hypersimplex_3_6.job.auto` is the cluster script used to produce these triangulations.</li> <li>`hypersimplex_3_6.checkp.*` are the checkpoints between the different result files.</li> </ul> <p>Since the computation was too large, it had to split up into four parts.</p>
Regular triangulations of the Hypersimplex(2,7)
<p>This dataset contains the 30 485 496 regular triangulations of the Hypersimplex(2,7) computed with mptopcom. The triangulations were computed up to symmetry and the result contains one representative from every orbit. The dataset is structured as follows:</p> <ul> <li>`hypersimplex_2_7.dat` contains the input points and the group acting.</li> <li>`hypersimplex_2_7_reg.result.*.xz` contains the output from mptopcom.</li> </ul> <p>Since the computation was too large, it had to split up into eleven parts.</p>
Rays of the secondary fan of the Hypersimplex(2,7)
<p>This dataset contains four files describing the rays of secondary fan of the hypersimplex(2,7).</p> <ul> <li><em>hypersimplex_2_7_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_2_7_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_2_7_histogram.dat.xz </em>maps spreads to sets of IDs of rays with that spread</li> <li><em>hypersimplex_2_7_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>
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>
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