English

polyDB: A Database for Polytopes and Related Objects

Combinatorics 2017-11-09 v1

Abstract

polyDB is a database for discrete geometric objects. The database is accessible via web and an interface from the software package polymake. It contains various datasets from the area of lattice polytopes, combinatorial polytopes, matroids and tropical geometry. In this short note we introduce the structure of the database and explain its use with a computation of the free sums and certain skew bipyramids among the class of smooth Fano polytopes in dimension up to 8.

Keywords

Cite

@article{arxiv.1711.02936,
  title  = {polyDB: A Database for Polytopes and Related Objects},
  author = {Andreas Paffenholz},
  journal= {arXiv preprint arXiv:1711.02936},
  year   = {2017}
}

Comments

15 pages

R2 v1 2026-06-22T22:39:55.286Z