//polymake.org/ 2026-09-18T08:08:18+00:00 //polymake.org/ //polymake.org/lib/exe/fetch.php/favicon.ico text/html 2021-08-07T23:09:35+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/extensions/eantic?rev=1628377775&do=diff polyeantic This extension serves as a wrapper for E-ANTIC, a software library for performing operations in real embedded number fields with arbitrary precision. A new Scalar type, NumberFieldElement, is introduced which can take advantage of polymake's existing features. This allows for many possibilities to combine algebraic and geometric properties.$\mathbb{Q}\left[a\right]$$\mathbb{Q}$$a$$a$$\mathbb{Q}\left[a\right]$$\mathbb{Q}\left[\phi\right]$$\phi$$a^2 - a - 1$$x$$x\in\mathbb{Q}$$x\in\ma… text/html 2021-03-20T14:55:01+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/extensions/max_mediated_sets?rev=1616252101&do=diff Maximal Mediated Sets This wiki page collects code, data and information accompanying the paper “Initial steps in the classification of maximal mediated sets” that is available in arXiv, see this DOI for the published version. The parallel enumeration algorithm described there will be made available soon, too.$1+x_0^2+x_1^6$ text/html 2021-01-12T14:34:43+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/extensions/polytropes?rev=1610462083&do=diff polytropes This is the software companion to the article “The tropical geometry of shortest paths” by Michael Joswig and Benjamin Schröter, arXiv:1904.01082. Ewgenij Gawrilow co-authors the code. We study parameterized versions of classical algorithms for computing shortest-path trees. This is most easily expressed in terms of tropical geometry. Applications include the enumeration of polytropes, i.e., ordinary convex polytopes which are also tropically convex, as well as shortest paths in tr… text/html 2021-01-12T14:34:43+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/extensions/tropicalcubics?rev=1610462083&do=diff TropicalCubics This is the software companion to the article “The Schläfli fan” by Michael Joswig, Marta Panizzut and Bernd Sturmfels, arXiv:1905.11951 Smooth tropical cubic surfaces are parameterized by maximal cones in the unimodular secondary fan of the triple tetrahedron. There are 344 843 867 such cones, organized into a $3 \Delta_3$$3 \Delta_3$$3 \Delta_3$ text/html 2026-09-17T12:17:15+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/extensions/tropicalquarticcurves?rev=1789647435&do=diff TropicalQuarticCurves This is the software companion to the article “Computing tropical bitangents to smooth quartic curves in polymake” by Alheydis Geiger and Marta Panizzut. This page also contains the updated version of the extension, which accompanies the article “Real Tropical Quartics and their Bitangents: Counting with Patchworking” by $S_3$$4\Delta_2$$4\Delta_2$$4\Delta_2$