user_guide:tutorials:random

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user_guide:tutorials:random [2019/01/25 09:27]
oroehrig ↷ Page moved from tutorial:random to user_guide:random
user_guide:tutorials:random [2019/02/04 22:55] (current)
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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 100 points on the units sphere in 3-space. 
-<​code>​ 
-polytope > $p1=rand_sphere(3,​100);​ 
-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>​ 
  • user_guide/tutorials/random.txt
  • Last modified: 2019/02/04 22:55
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