polyDB: A Database for Polytopes and Related Objects

Andreas Paffenholz ()
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Andreas Paffenholz: TU Darmstadt

A chapter in Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, 2017, pp 533-547 from Springer

Abstract: Abstract polyDB is a database for discrete geometric objects independent of a particular software. 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: Database; polyDB; Discrete geometry; Lattice polytopes; Reflexive polytopes; Smooth polytopes; 52-04; 52B20 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-70566-8_23

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DOI: 10.1007/978-3-319-70566-8_23

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