Differences

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--- extensions:tropicalcubics [2019/05/29 07:59] – [TropicalCubics] joswig
+++ extensions:tropicalcubics [2021/01/12 14:34] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
 ====== TropicalCubics ======
-This is the software companion to the article "The Schäfli fan" by
+This is the software companion to the article "The Schläfli fan" by
 [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]], [[https://page.math.tu-berlin.de/~panizzut/|Marta Panizzut]] and [[https://math.berkeley.edu/~bernd/|Bernd Sturmfels]], [[https://arxiv.org/abs/1905.11951|arXiv:1905.11951]]
@@ Line 10: / Line 10: @@
 ===== Download =====
-[[http://http://page.math.tu-berlin.de/~joswig/software/polymake/TropicalCubics-0.1.tar.xz|TropicalCubics-0.1.tar.xz]] [28 May 2019]
+[[http://page.math.tu-berlin.de/~joswig/software/polymake/TropicalCubics-0.2.tar.xz|TropicalCubics-0.2.tar.xz]] [04 Feb 2020], for polymake version 4.0
+[[http://page.math.tu-berlin.de/~joswig/software/polymake/TropicalCubics-0.1.tar.xz|TropicalCubics-0.1.tar.xz]] [28 May 2019], for polymake versions 3.5 and 3.6
 ===== Installation =====
-This requires an installation of polymake, version 3.5, which is scheduled for July 2019 (or a developer's version no later than 28 May 2019, if you are impatient).
+This requires an installation of polymake, version 4.0.  For polymake 3.5 or 3.6 use version 0.1 of this extension instead.
 After download you first need to extract the code.
 <code>
-tar Jxpf TropicalCubics-0.1.tar.xz
+tar Jxpf TropicalCubics-0.2.tar.xz
 </code>
-Suppose this ends up at ''/your/path/TropicalCubics-0.1''.  Then you start up polymake.  Within the polymake shell do:
+Suppose this ends up at ''/your/path/TropicalCubics-0.2''.  Then you start up polymake.  Within the polymake shell do:
 <code>
-import_extension "/your/path/TropicalCubics-0.1";
+import_extension "/your/path/TropicalCubics-0.2";
 </code>
-Do not forget to use an absolute path!  Afterwards you are good to run the code.  This import needs to be performed only once.  The reference to the extension is permanently stored in ''$HOME/.polymake/prefer.pl''.  For more details there is a [[user_guide/extend/extensions|guide to polymake's extension system]].
+Do not forget to use an absolute path!  Afterwards you are good to run the code.  This import needs to be performed only once.  The reference to the extension is permanently stored in ''$HOME/.polymake/settings''.  For more details there is a [[user_guide/extend/extensions|guide to polymake's extension system]].
 ===== Examples =====
-This extension makes contributions to the applications ''fan'' and ''tropical''.
+This extension contributes to the applications ''fan'' and ''tropical''.
 In the application ''tropical'' you can create a dense tropical cubic surface by just specifying the coordinates.
@@ Line 76: / Line 78: @@
 </code>
-Suppose you have a triangulation of $3 \Delta_3$ and you want to find it.  This example comes from §6.2 of [[https://link.springer.com/chapter/10.1007/978-3-319-70566-8_14|Hampe & Joswig: Tropical computations in polymake, in: Algorithmic and experimental methods in algebra, geometry, and number theory, Springer 2017]].  This is again in application ''tropical''.
+Suppose you have a triangulation of $3 \Delta_3$ and you want to find it.  The next example comes from §6.2 of [[https://link.springer.com/chapter/10.1007/978-3-319-70566-8_14|Hampe & Joswig: Tropical computations in polymake, in: Algorithmic and experimental methods in algebra, geometry, and number theory, Springer 2017]].  This is again in application ''tropical''.
 <code>
 > $F = toTropicalPolynomial("min(12+3*x0,-131+2*x0+x1,
@@ Line 90: / Line 92: @@
 </code>
 So this corresponds to the triangulation #5054117 constructed above (and stored in the variable ''$X'').
+For about 99.5% of all triangulations the canonical hash value (computed by [[http://pallini.di.uniroma1.it/|nauty]]) identifies the triangulations uniquely.  In the remaining cases the function ''retrieve_by_canonical_hash'' returns the first triangulation and issues a warning.