%% -*-BibTeX-*- @Online{1405.1687, author = "Christian Haase and Andreas Paffenholz and Lindsay C. Piechnik and Francisco Santos", title = "Existence of unimodular triangulations - positive results", month = may, year = "2014", abstract = "Unimodular triangulations of lattice polytopes and their relatives arise in algebraic geometry, commutative algebra, integer programming and, of course, combinatorics. Presumably, {"}most{"} lattice polytopes do not admit a unimodular triangulation. In this article, we survey which classes of polytopes are known to have unimodular triangulations; among them some new classes, and some not so new which have not been published elsewhere. We include a new proof of the classical result by Knudsen-Munford-Waterman stating that every lattice polytope has a dilation that admits a unimodular triangulation. Our proof yields an explicit (although doubly exponential) bound for the dilation factor.", comments = "82 pages; updated since v1 did not contain the bibliography due to a LaTeX mistake", eprint = "1405.1687", eprintclass = "math.CO", eprinttype = "arxiv", oai2identifier = "1405.1687", }