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polytopes-4d

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100M<n<1B
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1
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vertices
sequence
vertex_count
int32
facet_count
int32
point_count
int32
dual_point_count
int32
h11
int32
h12
int32
euler_characteristic
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Four-Dimensional Reflexive Lattice Polytopes

This dataset contains all four-dimensional reflexive lattice polytopes. The data was compiled by Maximilian Kreuzer and Harald Skarke in arXiv:hep-th/0002240. More information is available at the Calabi-Yau data website.

Please cite the paper when referencing this dataset:

@article{Kreuzer:2000xy,
    author = "Kreuzer, Maximilian and Skarke, Harald",
    title = "{Complete classification of reflexive polyhedra in four-dimensions}",
    eprint = "hep-th/0002240",
    archivePrefix = "arXiv",
    reportNumber = "HUB-EP-00-13, TUW-00-07",
    doi = "10.4310/ATMP.2000.v4.n6.a2",
    journal = "Adv. Theor. Math. Phys.",
    volume = "4",
    pages = "1209--1230",
    year = "2000"
}

Dataset Details

This dataset is licensed under the CC BY-SA 4.0 license.

Data Fields

  • vertices: Vertex positions of the polytope in normal form.
  • vertex_count: Vertex count of the polytope.
  • facet_count: Facet count of the polytope.
  • point_count: Lattice point count of the polytope.
  • dual_point_count: Lattice point count of the dual polytope.
  • h11: Hodge number h1,1 h^{1,1} .
  • h12: Hodge number h1,2 h^{1,2} .
  • euler_characteristic: Euler characteristic of the polytope.
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Size of downloaded dataset files:
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Size of the auto-converted Parquet files:
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Number of rows:
473,800,776