This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong. ====== Random Constructions ====== ===== Random points on the unit sphere ===== The easiest way to randomly construct a polytope is by sampling points on the unit sphere. The following chooses 100 points on the units sphere in 3-space. <code perl> > $p1=rand_sphere(3,100); > print $p1->SIMPLICIAL; true </code> With probability one such polytopes are simplicial. ===== Random polytopes with are neither simplicial nor simple ===== <code perl> > ($d,$m,$n) = (4,50,30); > $p1=rand_sphere($d,$m); > $p2=polarize($p1); > $p3=new Polytope(POINTS=>rand_vert($p2->VERTICES,$n)); > print $p3->SIMPLICIAL, " ", $p3->SIMPLE, "\n", $p3->F_VECTOR; false false 30 163 256 123 </code> user_guide/tutorials/release/3.4/random.txt Last modified: 2019/04/13 07:36by 127.0.0.1