  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.
