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--- user_guide:tutorials:random [2019/01/25 09:38] – ↷ Page moved from user_guide:random to user_guide:tutorials:random oroehrig
+++ user_guide:tutorials:random [2019/02/04 22:55] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
-====== Random Constructions ======
+{{page>.:latest:@FILEID@}}
-===== 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>
-polytope > $p1=rand_sphere(3,100);
-polytope > print $p1->SIMPLICIAL;
-</code>
-With probability one such polytopes are simplicial.
-===== Random polytopes with are neither simplicial nor simple =====
-<code>
-polytope > ($d,$m,$n) = (4,50,30);
-polytope > $p1=rand_sphere($d,$m);
-polytope > $p2=polarize($p1);
-polytope > $p3=new Polytope(POINTS=>rand_vert($p2->VERTICES,$n));
-polytope > print $p3->SIMPLICIAL, " ", $p3->SIMPLE, "\n", $p3->F_VECTOR;
-0
-166 264 128
-</code>