Differences

This shows you the differences between two versions of the page.

--- data [2014/01/12 14:26] – Table with database information silke
+++ polydb [2024/02/07 10:03] – [Other data in polymake format] Repair various links lkastner
@@ Line 1: / Line 1: @@
-====== The polymake database ======
+====== polyDB ======
-There is an online database with polymake objects that can be accessed from within polymake.
-You need the extension [[http://solros.de/polymake/poly_db|poly_db]] for this.
+''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]]
-Here is a list of the current content of the database.
-There are two levels of hierarchy: Databases and collections.
-^Database  ^ Collection  ^ |
-|LatticePolytopes  | SmoothReflexive  | All smooth reflexive lattice polytopes in dimensions up to 8. In dimensions up to 7 the database contains the properties H_STAR_VECTOR, REFLEXIVE, CONE_DIM, date, _id, LATTICE_CODEGREE, N_INTERIOR_LATTICE_POINTS, SMOOTH, N_LATTICE_POINTS, FACET_WIDTHS, VERTICES, FACETS, CENTROID, N_VERTICES, contributor, LATTICE_DEGREE, LATTICE_VOLUME, EHRHART_POLYNOMIAL_COEFF, N_BOUNDARY_LATTICE_POINTS, ESSENTIALLY_GENERIC, VERY_AMPLE, F_VECTOR, GORENSTEIN, FEASIBLE, LINEALITY_SPACE, AFFINE_HULL. In dimension 8 it only contains the minimal set LINEALITY_SPACE, CONE_DIM, date, _id, VERTICES, FEASIBLE, N_VERTICES, contributor.  |
-|LatticePolytopesR  | SmoothReflexive  | All smooth reflexive lattice polytopes in dimension 8. (Properties are still incomplete!) Note that you need a password to access this database.  |
-|Tropical  |TOM  | All known non-realisable tropical oriented matroids with parameters n=6, d=3 or n=d=4. You need the extension [[http://solros.de/polymake/tropmat|tropmat]] for this.  |
 ====== 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://www-math.mit.edu/~jyu/|Josephine Yu]]: tight spans of [[http://bio.math.berkeley.edu/SixPointMetrics/|triangulations and coarsest subdivisions of hypersimplex Delta(2,6)]].
+  * [[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**).
-  * [[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]].
+  * 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**).
-  * 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]].
+  *  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**).
-  *  Debbie Grier, Peter Huggins, Bernd Sturmfels, and Josephine Yu: list of [[http://bio.math.berkeley.edu/4cube/|triangulations of the 4-cube]].
   *  Mikkel <html>&Oslash;</html>bro; 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: [[http://www.mathematik.tu-darmstadt.de/~paffenholz/data.html|Various lists of polytopes]]
+  * Andreas Paffenholz: [[https://www2.mathematik.tu-darmstadt.de/~paffenholz/data/|Various lists of polytopes]]
-  * [[http://www.math.tu-berlin.de/~springb|Boris Springborn]]: [[http://www.math.tu-berlin.de/~springb/typegallery|gallery of polyhedral types]]
+  * [[https://page.math.tu-berlin.de/~springb/|Boris Springborn]]: [[https://page.math.tu-berlin.de/~springb/typegallery/|gallery of polyhedral types]]
-  * [[http://www3.mathematik.tu-darmstadt.de/hp/optimierung/herr-katrin/startseite.html|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]].
+  * 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]].
+/**
+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]].
+**/
 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.
 Contributions are welcome!