This database is based on: arXiv:1411.1418, arXiv:1706.09070, and most recently arXiv:2111.03078. Please cite us!

Contact Ross Altman with questions.

Constructed with support from the National Science Foundation under grant NSF/CCF-1048082, EAGER: CiC: A String Cartography.

Contact Ross Altman with questions.

Constructed with support from the National Science Foundation under grant NSF/CCF-1048082, EAGER: CiC: A String Cartography.

(Query in JSON Format | Enter: Submit Query)

Polytope ID # Polytope # H11 H21 Euler # Favorable? # of Newton Polytope Vertices # of Newton Polytope Points Newton Polytope Vertex Matrix # of Dual Polytope Vertices # of Dual Polytope Points Dual Polytope Vertex Matrix Dual Polytope Resolved Vertex Matrix Weight Matrix Resolved Weight Matrix Toric to Basis Divisor Transformation Matrix Basis from Toric Divisors Basis to Toric Divisor Transformation Matrix Toric from Basis Divisors Fundamental Group # of Geometries (within polytope) # of Triangulations (within polytope)

Select Polytope Properties:

Geometry # (within polytope) # of Triangulations (within geometry) CY 2nd Chern Class (Basis) CY 2nd Chern Numbers CY Intersection Polynomial (Basis) CY Intersection Tensor (Basis) CY Mori Cone Matrix CY Kahler Cone Matrix Toric Swiss Cheese Solutions Explicit Swiss Cheese Solutions

Select CY Geometry Properties:

Triangulation # (within geometry) Triangulation # (within polytope) Triangulation Stanley-Reisner Ideal Ambient Chern Classes (Toric) Ambient Chern Classes (Basis) CY 2nd Chern Class (Toric) CY 3rd Chern Class (Toric) CY 3rd Chern Class (Basis) Ambient Intersection Polynomial (Toric) Ambient Intersection Tensor (Toric) Ambient Intersection Polynomial (Basis) Ambient Intersection Tensor (Basis) CY Intersection Polynomial (Toric) CY Intersection Tensor (Toric) Phase Mori Cone Matrix Phase Kahler Cone Matrix

Select Triangulation-Specific Properties:

Count Only:
--
Polytopes
Geometries
Triangulations

Match:
Polytopes
Geometries
Triangulations

(0 = Unconstrained)