polymake Miscellanea

The polymake commands below can be copied-and-pasted into a polymake session. Alternatively, using load_commands, you can let polymake guide you through these commands one by one. Since version 3.1 polymake supports Jupyter notebooks. Eventually all polymake command snippets will be converted into that form.

• Use polymake --script jupyter from the command line to install a Jupyter kernel for polymake
• check out the polymake database
• svg file to describe the version 4.1 big object hierarchy

Random Comments on polymake's Design

This is intentionally kept short rather than complete. | polymake 3.1

• Jupyter notebook from the seminar presentation on 21 June 2017 [pdf]

Conference Presentations and Tutorials

Combinatorial Optimization at Work

Berlin/online, 15 Sep 2020 | polymake 4.1

• Jupyter notebook [pdf]

Polyhedral Computations With polymake

Hands-on course on Geometric Software: Intensive Research Program on Discrete, Combinatorial and Computational Geometry, Barcelona, April 30 - May 4, 2018 | polymake 3.2

Tropical Geometry, Amoebas and Polytopes

Institut Mittag-Leffler, 15 Jan - 30 Apr 2018 | polymake 3.2

• Jupyter notebook [pdf]

Hausdorff School: Economics and Tropical Geometry

Bonn, 9-11 May 2016

• Presentation
• hypersurface.pdemo: tropical hypersurfaces
• polytope.pdemo: basic polytope computations

Combinatorial Optimization at Work

Berlin, 29 Sep 2015

• Presentation + Exercise Sheet
• presentation.pdemo: commands used during the presentation
• model.pdemo: explaining the mathematical model
• matching.pdemo: matching polytope example
• automorphisms.pdemo: computing with groups, convex hull computation up to symmetry

ICMS 2014

Seoul, 07 Aug 2014

• tutorial.pdemo: commands used in the tutorial

ISMP 2012

Berlin, 21 Aug 2012

• slides: slides used for the presentation
• demo.pdemo: commands used in the demo

GTS 2012

UNC Chapel Hill, 19 June 2012

• slides: slides used for the tutorial session
• tutorial.pdemo: commands used in the tutorial session

The following was not used in that session:

abstract.pdemo: commands from the extended abstract

Data on Dressians

• Dr(3,7); see joint work with Sven Herrmann, Anders Jensen and Bernd Sturmfels: How to draw tropical planes, Electronic J. Combin. Volume 16, Issue 2 (2009), R6
• Dr(3,8); see joint work with Sven Herrmann and David E Speyer: Dressians, tropical Grassmannians, and their rays, Forum Math., 26:6 (2014), 1853-1882, doi:10.1515/forum-2012-0030