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data [2013/04/30 16:04] – herr | polydb [2024/02/07 10:03] – [Other data in polymake format] Repair various links lkastner |
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====== Data in polymake format ====== | ====== polyDB ====== |
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| ''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. |
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| * [[user_guide:howto:polydb_tutorial|tutorial for querying the database]] |
| * [[polydb:rest:intro|(Experimental) polyDB REST API]] |
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| ====== Other data in polymake format ====== |
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This is a collection of objects from geometric combinatorics available in polymake format. | This is a collection of objects from geometric combinatorics available in polymake format. |
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* [[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>Ø</html>bro; Benjamin Lorenz, Andreas Paffenholz: [[http://polymake.org/polytopes/paffenholz/www/fano.html|Smooth reflexive lattice polytopes in dimensions up to 9]] | * Mikkel <html>Ø</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]] | * 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]]. |
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| /** |
| 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]]. |
| **/ |
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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. | 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. |
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Contributions are welcome! | Contributions are welcome! |