Datasets:

calabi-yau-data
/

polytopes-4d

vertices sequence	vertex_count int32	facet_count int32	point_count int32	dual_point_count int32	h11 int32	h12 int32	euler_characteristic int32
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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 $h^{1,1}$ .
h12: Hodge number $h^{1,2}$ .
euler_characteristic: Euler characteristic of the polytope.

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Size of downloaded dataset files:

15.8 GB

Size of the auto-converted Parquet files:

15.8 GB

Number of rows:

473,800,776