====== polyDB ====== ''polyDB'' is a database for objects in discrete geometry and related areas. The database can be accessed from within polymake or via a REST API. There is also a web interface at [[https://db.polymake.org|db.polymake.org]]. Internally, the database is build upon ''MongoDB'', and you can use the full ''MongoDB'' query language to send requests to the database. * [[user_guide:howto:polydb_tutorial|tutorial for querying the database]] * [[polydb:rest:intro|(Experimental) polyDB REST API]] ====== Other data in polymake format ====== This is a collection of objects from geometric combinatorics available in polymake format. * [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]] and [[http://people.math.gatech.edu/~jyu67/|Josephine Yu]]: tight spans of [[http://bio.math.berkeley.edu/SixPointMetrics/|triangulations and coarsest subdivisions of hypersimplex Delta(2,6)]] (**note: link currently broken**). * Sven Herrmann, Anders Jensen, Michael Joswig, and Bernd Sturmfels: list of [[http://www.uni-math.gwdg.de/jensen/Research/G3_7/grassmann3_6.html|Generic planes in tropical projective space TP5]] and [[http://www.uni-math.gwdg.de/jensen/Research/G3_7/grassmann3_7.html|TP6]] (**note: links currently broken**). * Debbie Grier, Peter Huggins, Bernd Sturmfels, and Josephine Yu: list of [[http://bio.math.berkeley.edu/4cube/|triangulations of the 4-cube]] (**note: link currently broken**). * Mikkel Øbro; Benjamin Lorenz, Andreas Paffenholz: [[http://polymake.org/polytopes/paffenholz/www/fano.html|Smooth reflexive lattice polytopes in dimensions up to 9]] * Barbara Baumeister, Christian Haase, Benjamin Nill, and Andreas Paffenholz: [[http://polymake.org/polytopes/paffenholz/www/permutations.html|low-dimensional permutation polytopes]] * Andreas Paffenholz: [[https://www2.mathematik.tu-darmstadt.de/~paffenholz/data/|Various lists of polytopes]] * [[https://page.math.tu-berlin.de/~springb/|Boris Springborn]]: [[https://page.math.tu-berlin.de/~springb/typegallery/|gallery of polyhedral types]] * Katrin Herr and [[http://www.math.uni-rostock.de/~rehn/|Thomas Rehn]]: [[http://www.polymake.org/polytopes/core-point-polytopes/2-homog-groups/|2-homogeneous groups]] up to degree 12 and orbit polytopes of representatives of all their [[http://www.polymake.org/polytopes/core-point-polytopes/|core points]]. You can also check [[http://www.computeralgebra.de/index.php?option=com_content&view=article&id=89&Itemid=53|here]] for other classes of polytopes. ====== Other polyhedral data produced by the polymake project ====== * [[https://github.com/lkastner|Lars Kastner]], [[https://page.math.tu-berlin.de/~loewe/|Robert Löwe]]: [[https://polymake.org/doku.php/dequivalence|Regular triangulations of the 3-dilated 3-simplex]] * [[https://page.math.tu-berlin.de/~weis/|Lena Weis]]: [[https://polymake.org/downloads/schlaefli_fans/|Some Schlaefli fans]], this data is accompanied by the code at [[https://github.com/dmg-lab/Computing-lines-on-tropical-cubic-surfaces|dmg-lab on github]]. /** old data: * [[http://www3.mathematik.tu-darmstadt.de/index.php?id=508|Katja Kulas]]: list of all [[http://wwwopt.mathematik.tu-darmstadt.de/~kulas/polytrope.html|3-dimensional polytropes]]. **/ Contributions are welcome!