Utilities

readpolytopes(input::String; inputtype::String="file", format::String="ks")

Read the polytopes from a string or file. The parameter input can serve the input string or the filename depending on whether the keyword argument input_type is set to "string" or "file". Currently, only the format in the Kreuzer-Skarke database is supported, but in the future we may support weight systems.

Examples

julia> example_string = "4 5  M:201 5 N:7 5 H:1,149 [-296]\n1   1   1   1  -7\n0   2   2   2  -6\n0   0   8   0  -8\n0   0   0   8  -8";

julia> polytopes = read_polytopes(example_string, input_type="string");

julia> length(polytopes)
1

julia> polytopes[1]
A polyhedron in ambient dimension 4

fetchpolytopes(; h11::Union{Int, Nothing}=nothing, h12::Union{Int, Nothing}=nothing, h13::Union{Int, Nothing}=nothing, h22::Union{Int, Nothing}=nothing, chi::Union{Int, Nothing}=nothing, lattice::Union{Char, Nothing}=nothing, dim::Int=4, npoints::Union{Int, Nothing}=nothing, nvertices::Union{Int, Nothing}=nothing, ndualpoints::Union{Int, Nothing}=nothing, nfacets::Union{Int, Nothing}=nothing, limit::Int=1000, timeout::Int=60, raw_output::Bool=false)

Fetch polytopes from the Kreuzer-Skarke database or the Schöller-Skarke database. The data is fetched from the websites http://hep.itp.tuwien.ac.at/~kreuzer/CY/ and http://rgc.itp.tuwien.ac.at/fourfolds/ respectively.

Supported keyword arguments:

• h11::Int: Specifies the Hodge number $h^{1,1}$ of the Calabi-Yau hypersurface.
• h12::Int: Specifies the Hodge number $h^{1,2}$ of the Calabi-Yau hypersurface.
• h13::Int: Specifies the Hodge number $h^{1,3}$ of the Calabi-Yau hypersurface.
• h22::Int: Specifies the Hodge number $h^{2,2}$ of the Calabi-Yau hypersurface.
• chi::Int: Specifies the Euler characteristic of the Calabi-Yau hypersurface.
• lattice::Char: Specifies the lattice on which the polytope is defined. Options are 'N' and 'M'. Has to be specified if the Hodge numbers or the Euler characteristic is specified.
• dim::Int: The dimension of the polytope. The only available options are 4 and 5.
• n_points::Int: Specifies the number of lattice points of the desired polytopes.
• n_vertices::Int: Specifies the number of vertices of the desired polytopes.
• n_dual_points::Int: Specifies the number of points of the dual polytopes of the desired polytopes.
• n_facets::Int: Specifies the number of facets of the desired polytopes.
• limit::Int=1000: Specifies the maximum number of fetched polytopes.
• timeout::Int=60: Specifies the maximum number of seconds to wait for the server to return the data.
• raw_output::Bool=false: Return the raw string obtained from the server.

Examples

julia> polytopes = fetch_polytopes(; h11=4, lattice='N', limit=5);

julia> polytopes[1]
A polyhedron in ambient dimension 4

julia> length(polytopes)
5