user_guide:tutorials:random

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tutorial:random [2012/05/16 12:36] – changed VERTICES to POINTS herruser_guide:tutorials:random [2019/02/04 22:55] (current) – external edit 127.0.0.1
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-====== 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 500 points on the units sphere in 3-space. 
-<code> 
-polytope > $p1=rand_sphere(3,500); 
-polytope > print $p1->SIMPLICIAL; 
-1 
-</code> 
-With probability one such polytopes are simplicial. 
- 
-===== Random polytopes with are neither simplicial nor simple ===== 
- 
-<code> 
-polytope > ($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 0 
-30 166 264 128 
-</code> 
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