hotdogPi wrote: ↑June 13th, 2022, 7:49 am
Statistics for pseudo-period guns:
Today:
Harmonic mean of all sizes from period 14-199: 3499 cells
Geometric mean: 3992 cells
6/25/21 (p21 was not discovered yet, but I believe the p57 R-pentomino hassler was):
Harmonic mean: 3951 cells
Geometric mean: 4398 cells
Halved in size or more, ordered by greatest ratio first: 21, (huge gap), 54, 27, 55, 32, (medium-large gap), 28, 63, 14, 56, 42, 48, 165, 117, 108, 162, 16, 972, 324, 594, 336, 495, 351, 825, 112, 168, 110
367 periods were reduced (of which only nine were primes above the syringe threshold); 619 stayed the same
Of the two top ten lists, only p30, 120, and 104 are in both lists without a reduction
Today, there are 22 2-digit guns that are larger than the largest 3-digit gun. On 6/25/21, it was 30; this is a valid comparison as the largest 3-digit gun hasn't changed.
Update, since we now have exactly 3,000 gun periods from 14 to 9999:
Today:
Harmonic mean of all sizes from period 14-999: 2877 cells (this was also supposed to say 999 in 2022 but I made a typo)
Geometric mean: 3439 cells
Reduced to 1/5 size or smaller since 6/25/21 ordered by greatest ratio first: 21, 16, (huge gap), 25, 43, 54, 32, 27, 14, 42, 55, 63, 34, 51, 28, 70, 59, 35, 68, 40, 560
565 periods were reduced (198 hadn't been yet at the time of the above quote but are now); 421 stayed the same. Of the 152 primes above the syringe threshold, 34 have been reduced.
Of the two top ten lists of now and 6/25/21, only p30 is in both lists without a reduction; p120 is ranked 11th.
Today, there are 4 2-digit guns that are larger than the largest 3-digit gun: 31, 17, 19, and 29. 41 is smaller than only 983 and 991.
Guns where the bounding box is a multiple of the period, smallest to largest: 16, 552, 1680, 1840, 357, 2952, 770, 77, 26, 41, and 19. The guns on this list with an equal period and bounding box are the three four-digit guns and no others.
The ten smallest 4-digit guns are 1344, 1040, 2496, 1656, 2070, 1564, 3128, 1560, 1008, and 1920. The smallest odd-period 4-digit gun is 1125, ranked 136th among 4-digit guns. Of the 100 smallest 4-digit guns, 31 are multiples of 64, 27 are multiples of 30, and 25 are multiples of 46.
User:HotdogPi/My discoveries
Periods discovered:
All evens ≤128 except 52,58,78,82,92,94,98,104,118,122
5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576
Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
