metadata

license: cc-by-sa-4.0
pretty_name: Four-Dimensional Reflexive Lattice Polytopes
configs:
  - config_name: default
    data_files:
      - split: full
        path: '*.parquet'
size_categories:
  - 100M<n<1B
tags:
  - physics
  - math

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.