------------------------------------ CAVEATS ------------------------------------ 1) Note that if you are using the browser-based polymake like me (http://shell.polymake.org/) you can copy from my stuff and paste into the browser by right-clicking. Be careful though because your browser/clipboard may insert line breaks, which mess it up for a big entry. Paste into notepad first and remove them. 2) I left the prompt “polytope >” in. Remove this. 3) Underscores like in F_VECTOR get removed sometimes and need replaced. Can be done in the pasting box in polymake. 4) I put the initial “1” in each point. ------------------------------------ INPUT/OUTPUT ------------------------------------ polytope > $points=new Matrix([[1,3, 3, 2, 1], [1, 3, 3, 1, 2], [1, 3, 2, 3, 1], [1, 3, 2, 1, 3], [1, 3, 1, 3, 2], [1, 3, 1, 2, 3], [1, 2, 3, 3, 1], [1, 2, 3, 1, 3], [1, 2, 1, 3, 3], [1, 1, 3, 3, 2],[1, 1, 3, 2, 3], [1, 1, 2, 3, 3],[1,2,2,2,2]]); polytope > $p=new Polytope(POINTS=>$points); polytope > print $p->F_VECTOR; 13 30 26 9 polytope > print $p->VERTICES_IN_FACETS; {0 1 2 3 4 5 6 7 8 9 10 11} {0 1 2 3 4 5 12} {0 1 6 7 9 10 12} {2 4 6 8 9 11 12} {9 10 11 12} {3 5 7 8 10 11 12} {4 5 8 12} {1 3 7 12} {0 2 6 12}