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| user_guide:tutorials:master:random [2019/04/12 04:41] – external edit 127.0.0.1 | user_guide:tutorials:master:random [2020/05/12 05:00] (current) – external edit 127.0.0.1 | ||
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| ===== Random points on the unit sphere ===== | ===== 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. | + | The easiest way to randomly construct a polytope is by sampling points on the unit sphere. The following chooses 100 points on the unit sphere in 3-space. |
| <code perl> | <code perl> | ||
| Line 10: | Line 10: | ||
| true | true | ||
| </ | </ | ||
| - | With probability one such polytopes are simplicial. | + | ===== Random points sampled from a normal distribution ===== |
| + | |||
| + | A second way to randomly construct a polytope is by sampling points by a standard normal distribution. The following chooses 100 points sampled from the standard normal distribution in 3-space. | ||
| + | |||
| + | <code perl> | ||
| + | > $p2 = rand_normal(3, | ||
| + | > print $p2 -> SIMPLICIAL, " | ||
| + | true | ||
| + | 24 66 44 | ||
| + | </ | ||
| + | With probability one such polytopes | ||
| ===== Random polytopes with are neither simplicial nor simple ===== | ===== Random polytopes with are neither simplicial nor simple ===== | ||
| Line 21: | Line 31: | ||
| > print $p3-> | > print $p3-> | ||
| false false | false false | ||
| - | 30 163 256 123 | + | 30 162 251 119 |
| </ | </ | ||