Differences

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

--- workshop1109 [2011/09/13 06:35] – [polymake Workshop at UC Berkeley] joswig
+++ workshops:workshop1109 [2019/01/29 21:46] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
 ====== polymake Workshop at UC Berkeley ======
-This is going to take place September 13, 2011, 13:00-18:00 (939 Evans Hall).  Everybody welcome.
+This took place September 13, 2011, 13:00-18:00 (939 Evans Hall).
-Please bring a laptop, preferably with polymake [[download:start|pre-installed]].  Standard installations available for Ubuntu 11.04, MacOS X 10.6 (and a last minute experimental version for 10.7; thanks to [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas]]).  If you only have a Windows laptop (with a reasonably modern CPU) you can bring it along with an empty USB stick (with at least 2GB capacity): last minute Ubuntu 11.04 live system with polymake available (thanks to [[http://www.uni-frankfurt.de/fb/fb12/mathematik/dm/personen/lorenz/index.html|Benjamin]]).
+The event start out with a short introduction by [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]] to the mathematical problems listed on the {{:polymake-exercises.pdf|Exercise sheet}}.  This was followed by an introduction to polymake as outlined below.  Afterwards attendees explored the system via solving exercises.
-The event will start out with a short introduction to the system, and afterwards attendees are invited to explore the system via a set of exercises.
-{{:polymake-exercises.pdf|Exercise sheet}}
 ===== Introduction =====
@@ Line 57: / Line 54: @@
 print $rp2->HOMOLOGY;
 fan::normal_fan(load("snub-dodecahedron.poly"))->VISUAL;
+</code>
+===== Solutions to Selected Exercises =====
+==== 10. Smooth fan in R^3 with 10 rays ====
+<code>
+$c=cube(3);
+$cc=new Polytope(INEQUALITIES=>($c->FACETS/(new Matrix<Rational>([[2,-1,-1,-1],[2,-1,1,1],[2,1,-1,1],[2,1,1,-1]]))));
+print $cc->N_FACETS, ", ", $cc->SMOOTH;
+$cc->VISUAL;
+$f=fan::normal_fan($cc);
+$f->VISUAL;
 </code>