5 ms·
If you select 30, 60 or 90 columns you get the clearest patterns. It kinda seems that the more divisors the number of columns has, the clearer the vertical clus
by jona-f 1y ago
If you select 30, 60 or 90 columns you get the clearest patterns. It kinda seems that the more divisors the number of columns has, the clearer the vertical clusters are. And somehow 30, 60 and 90 stand out. Number theory is so weird. I expected more randomness.
- susam 1y agoThe reason vertical clusters appear in these examples is that all your chosen numbers are multiples of 6. A prime number greater than 3 leaves a remainder of either 1 or 5 when divided by 6. In other words: For all primes p greater than 3, p ≡ ±1 (mod 6). Therefore, when the total number of columns is a multiple of 6, all primes except 2 fall into the same columns, namely 1, 5, 7, 11, 13, 17 and so on.
- jacobtomlinson 1y agoI just set the column width to 6 to verify this for myself. What a neat tool!
- jona-f 1y agoOh yes, thanks!
- ainiriand 1y agoGo for 258 and be ready to get your mind blown.
- calrain 1y ago210 columns is stripes
- Daub 1y agoVery cool. Go from 30 to 31 to see this ‘pattern’ twist in on itself.
- dgacmu 1y agoIf you can do 210 you'll see even more. Any primorial will give you the strongest patterns. (Primorials are the products of the first N primes, so 2, 6, 30, 210, etc.)