ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

Thread For Your Bellman Finds

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: Thread For Your Bellman Finds

Postby Kazyan » September 7th, 2017, 11:18 pm

Goldtiger997 wrote:If a catalyst (most likely found with Bellman) could restore the beehive, this would result in a "one-fifth snark". I've tried using Bellman to find one, but with no success, mostly to do with my lack of experience with the search program. Would anyone else more experienced like to have a go?...

Edit: Or alternatively, a "one-third snark":


Sometimes it's just a matter of knowing where to look, isn't it?

x = 49, y = 38, rule = B3/S23
8b2o2bo$7bob4o$7bo$5b2ob7o$3bo2bobo6bo$3b2o3bob2o2b2o$7b2ob2o4$8bo$7bo
bo9b2o$7bobo9bo$8bo8bobo$17b2o$9b2o$9bobo$9bo4$7b2o$8bo$5b3o26bo$5bo
26bo2bo$32b5o10b2o$32b3ob2o9b2o$12bo3bo3b3o10b2obo$2o9bo5bo2bo13b2o$2o
9bo9bo$11b2o3bo17b2o$13b3o17b2obo$32b3ob2o9b2o$13b3o16b5o10b2o$11b2o3b
o15bo2bo$2o9bo22bo$2o9bo5bo$12bo3bo!


If you're curious, here's the input file. I was looking for a 1/5.

#S max-active 9
#S repair-interval 30
#S stable-interval 4
#S max-live 500
#S first-encounter 70
#S last-encounter 92
#P 0 0
.
.
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
..????????????????..
.
.
.........@@
........@..@.......@@
.........@@........@
.................@.@
.........@.......@@
........@@
........@.@
.
.
.............@@
.............@.@
.......@@....@
........@.
.....@@@........@@@
.....@..........@
.................@
....................@@
....................@.@
....................@
.
........................@@
........................@.@
........................@
Tanner Jacobi
User avatar
Kazyan
 
Posts: 685
Joined: February 6th, 2014, 11:02 pm

Re: Thread For Your Bellman Finds

Postby gmc_nxtman » September 8th, 2017, 1:07 am

Kazyan wrote:Sometimes it's just a matter of knowing where to look, isn't it?


Very nice! The repeat time is 43, the exact same as the snark... I bet this will reduce a lot of the gun collection. Good work Kazyan!
User avatar
gmc_nxtman
 
Posts: 1043
Joined: May 26th, 2015, 7:20 pm

Re: Thread For Your Bellman Finds

Postby Kazyan » September 8th, 2017, 1:27 am

gmc_nxtman wrote:Very nice! The repeat time is 43, the exact same as the snark... I bet this will reduce a lot of the gun collection. Good work Kazyan!


I hope so, though signal circuitry is already pretty good--I don't expect a particularly huge wave of improvements.

Here's probably the best-case scenario for the...I'm gonna call this a "tremi-snark" for now unless someone has a better idea, because "one-third snark" will be ambiguous in the future whenever someone wants to build something involving three reflectors. Anyway, its best-case scenario is this reduction of the p135 gun from 67*58 (3886) to 49*45 (2205), taking advantage of that gaping unoccupied corner of the p45 gun.

x = 49, y = 45, rule = LifeHistory
39.A2.2A$39.4A.A$44.A$37.7A.2A$36.A2.B3.A.A2.A$18.A2.A2.A11.2A2.2A.AB
2.2A$18.7A14.B2AB2A$40.5B$18.7A16.3B$18.A2.A2.A15.2A3B$19.2B.2B15.B2A
B2A$20.3B8.2A6.2ABA4B$19.5B8.A5.9B$18.6B.B6.A.AB3.7B$10.B4.10B2A3B3.
2AB.10B$9.4B.5BA4B2ABA3B4.13B$9.2BA2B.2B2AB5AB3AB5.13BA$9.B3A6BA3BA3B
A2B5.11BABA$9.ABABA10BABA2B8.8B2.2A$8.B2A17B.B7.A5B5.B$2A.2A4.B2ABA8B
.8B5.B2A6B$.A.A.B.4B2A9B.8B4.BABA4.2A$.A.A.6BA3B2.11BA2B3.4B5.A$2A.2A
.5BA8B.7BA3B.4B7.3A$.A.A.6BA6B.8BABA6B10.A$.A.A.B.3BABA8B.6BA6B$2A.2A
3.3BA7B.8BA5B5.2B$9.2BA11B2.3BA4B4.6B$9.8B.9B2A5B.BA6BAB$9.8B.8BAB2A
5B2A6B2A2B$10.B.17B2A3B3A6B3A2B$11.2BABA10BABABA2.2B2A6B2A2B$10.2BA3B
A3BA6B3AB4.BA6BAB$10.B3AB5AB2A2B.2BA2B6.6B$9.3BAB2A4BA5B.4B8.2B$10.3B
2A10B4.B$14.B.6B$16.5B$17.3B$16.2B.2B$15.A2.A2.A$15.7A2$15.7A$15.A2.A
2.A!
Tanner Jacobi
User avatar
Kazyan
 
Posts: 685
Joined: February 6th, 2014, 11:02 pm

Re: Thread For Your Bellman Finds

Postby chris_c » September 8th, 2017, 5:06 am

Kazyan wrote:Sometimes it's just a matter of knowing where to look, isn't it?


Nice! This improvement to the period tripled p436 family improves 14 gun periods:

x = 193, y = 54, rule = LifeHistory
28.A11.2A102.A11.2A$27.A.A9.B2AB100.A.A9.B2AB$19.A3.2A2.A.A9.3B93.A3.
2A2.A.A9.3B$10.2A6.A.A2.A2.2A.2A9.B.B83.2A6.A.A2.A2.2A.2A9.B.B$9.B2A
2B4.A.A3.A.A2.B8.2A3B82.B2A2B4.A.A3.A.A2.B8.5B$10.4B5.A.4A2.AB2A6.3BA
2B83.4B5.A.4A2.AB2A6.6B24.A2.2A$8.6B7.A3.A.A.2A4.BAB3A2B81.6B7.A3.A.A
.2A4.8B24.4A.A$8.5B7.A2.BA.A2.6B2A5B82.5B7.A2.BA.A2.13B30.A$7.6B6.A.
2BA.A5.4BA4BA3B79.6B6.A.2BA.A5.13B21.7A.2A$6.7B6.2A.2BA5.5BAB2A2BA3B
77.7B6.2A.2BA5.15B19.A2.B3.A.A2.A$7.6B10.3B4.5BA5BA3B78.6B10.3B4.15B
19.2A2.2A.AB2.2A$7.7B10.2B.B.6BAB5A4B77.7B10.2B.B.17B21.B2AB2A$7.6B4.
20BA3BAB2AB77.6B4.16B4A9B22.5B$7.7B2.22B3A2B3AB76.7B2.16BA3BA10B22.3B
$7.7B2.23B2A2B2A3B75.7B2.16BA4BA10B20.5B$6.9B.27B3.B2A73.9B.17B3A7B3.
B2A18.6B$6.36B4.A2.A72.36B4.A2.A9.2A6.8B$.B4.20B2.2B2.B3.6B5.2A.A66.B
4.20B2.2B2.B3.6B5.2A.A9.A5.2B2A5B$2AB.19B14.6B7.A65.2AB.19B14.6B7.A9.
A.AB3.B2A4B$2A19B14.9B6.2A64.2A19B14.9B6.2A9.2AB.10B$.B.17B15.2A4.4B
72.B.17B15.2A4.4B18.13B$4.17B15.A5.4B74.17B15.A5.4B17.14B$4.17B12.3A
7.4B73.17B12.3A7.4B16.14B$4.15B.B2A10.A10.4B72.15B.B2A10.A10.4B17.8B
2.2B$4.12B4.BA.A21.4B23.2A46.12B4.BA.A21.4B16.6B5.B$3.11B9.A22.4B22.A
46.11B9.A22.4B14.9B$2.13B8.2A22.4B18.BA.A45.13B8.2A22.4B12.4B4.2A$3.
12B13.A19.4B14.2A.B2A47.12B13.A19.4B10.4B5.A$4.10B14.3A12.B.3B.4B12.B
2A2B50.10B14.3A12.B.3B.4B8.4B7.3A$4.9B18.A10.18B6.4B50.9B18.A10.22B
10.A$4.9B5.A11.2A3.B5.2B2A16B3.6B50.9B5.A11.2A3.B5.2B2A18B7.A$4.9B3.
3A11.8B3.2B2A16B2.6B51.9B3.3A11.8B3.2B2A18B6.A.A$7.5B3.A16.8B.20B.7B
9.2A43.5B3.A16.8B.24B4.A.A$8.4B3.2A15.38B6.2B2AB43.4B3.2A15.35B.2A.2A
$2A6.9B14.15B.2B2.20B5.4B3.B32.2A6.9B14.15B.2B2.13B2A2B$.A7.6B14.17B
8.21B.6B2A2B31.A7.6B14.17B8.10BABAB$.A.2A5.6B3.B2.2B2.19B11.26B2A2B
31.A.2A5.6B3.B2.2B2.19B11.7B.2BAB$2.A2.A4.35B12.30B31.A2.A4.35B11.7B
2.A3.A$3.2AB3.27B.7B12.31B32.2AB3.27B.7B12.7B3.4A$4.14B2A25B11.30B34.
14B2A25B9.2AB.B.3B$5.13B2A26B8.2AB.3B2.22B36.13B2A26B7.A.AB11.2A$6.
29B2.8B8.A.AB6.22B37.29B2.8B8.A14.2A$6.17B.B.2B11.6B8.A8.12B3.9B36.
17B.B.2B11.6B7.2A$7.15B4.3B10.5B8.2A7.12B5.8BA36.15B4.3B10.5B$7.15B5.
A2B.2A7.4B17.9B6.5B3.ABA36.15B5.A2B.2A7.4B$8.13B5.A.A2B.A7.4B15.2AB2.
6B6.2A7.2A37.13B5.A.A2B.A7.4B$10.13B2.A.AB2.A9.B.B2A12.A.AB3.B.B9.A8.
B39.13B2.A.AB2.A9.B.B2A$9.8B4.2A.A.A3.A12.BA.A11.A7.3B5.3A48.8B4.2A.A
.A3.A12.BA.A$9.6B6.2ABA2.4A.A13.A10.2A6.B2AB5.A50.6B6.2ABA2.4A.A13.A$
9.5B8.B2.A.A3.A.A12.2A18.2A57.5B8.B2.A.A3.A.A12.2A$9.B.B9.2A.2A2.A2.A
.A91.B.B9.2A.2A2.A2.A.A$10.3B9.A.A2.2A3.A93.3B9.A.A2.2A3.A$9.B2AB9.A.
A100.B2AB9.A.A$10.2A11.A102.2A11.A!


+327 (4158, 'p00436x3_0')
+333 (4290, 'p00436x3_1')
+339 (4424, 'p00436x3_2')
+351 (4698, 'p00436x3_4')
+357 (4838, 'p00436x3_5')
+375 (5270, 'p00436x3_8')
+381 (5418, 'p00436x3_9')
+654 (4158, 'p00436x3_0')
+666 (4290, 'p00436x3_1')
+678 (4424, 'p00436x3_2')
+702 (4698, 'p00436x3_4')
+714 (4838, 'p00436x3_5')
+762 (5418, 'p00436x3_9')
+798 (5874, 'p00436x3_12')


There will be a few improvements in identical fashion to this, plus now that we no longer need a Herschel to do a period tripling there should be plenty of other possibilities...
chris_c
 
Posts: 729
Joined: June 28th, 2014, 7:15 am

Re: Thread For Your Bellman Finds

Postby dvgrn » September 8th, 2017, 4:07 pm

chris_c wrote:There will be a few improvements in identical fashion to this, plus now that we no longer need a Herschel to do a period tripling there should be plenty of other possibilities...

You can say that again. The tremi-Snark even makes small guns like the current period 810 gun look a bit oversized -- the old one was 80x49:

#C smaller p810 gun using tremi-Snarks
x = 55, y = 48, rule = LifeHistory
22.A5B4.B$20.BABA11B$3.B4.3B2AB.B2.B2A3BA10B$.9BABA4B2ABA3BA9B2A$.8B
3A4B3A.A3BA7B.B2A$2A6B3A4BA2B2ABABA6B4.B$2AB.5B3A4B2A4BA5B$.B4.4BABA
10B$8.3B2AB3.7B$21.4B$22.4B$21.6B$4.2A15.7B$3.B2A2B12.9B$4.4B12.10B
13.A$5.4B10.12B10.3A$4.4B10.8B2.4B8.A$4.3AB8.10B3.4B7.2A$3.B3AB8.2A9B
3.4B3.5B$3.A3BA7.2B2A.7B4.4B2.3B9.2A$2.A5BA5.2BA3B2A5B5.9B8.A.A$2.BA
3BAB4.4B.2B2A.2B.B2A4.8B.B8.A$2.2B3A2B3.4B2.2B6.BA.A4.11B3.B.BA.2A$2.
7B2.4B4.2B8.A4.8BA3B.B2A.A.A$2.7B.4B4.B2AB7.2A3.8B2A4B2A.A.A$2.7BA3B
6.2A13.5B2A2B2A4B2.A.2A$3.6B2AB20.2AB.2BAB2A2BA3B4A2.A$3.5BABA20.A.AB
.3B2ABABAB.BAB2.2A$4.2B.4B13.A6.A5.4B3A6.2A$4.7B13.3A3.2A5.4B.2B7.A$
5.6B16.A8.4B9.A$5.5B16.2A7.4B10.2A$4.6B16.5B3.4B$5.5B7.2A9.3B2.4B$4.
3BA3B5.A.A8.9B$4.2B3A2B5.A8.B.8B$4.B5AB2.2A.2A.B3.11B$4.ABABABA3.A.A.
A2B.A11B$4.2A3B2A3.A.A.2A3BA10B$4.7B2.2A.A2.5B2A8B$5.5B3.A2.4A2BAB2A
6B.B2A$5.2BA2B4.2A2.A2B.B2A7B.BA.A$6.ABAB6.2A6.7B5.A$6.ABAB6.A7.2B.4B
5.2A$7.A3B7.A9.4B$6.2A2B7.2A10.3BA$5.B2A2B20.3BA$6.2A23.3A!

I'd still like to get the quinti-Snark working, though. It would make a record-setting prime oscillator pattern a whole lot smaller.

-- It wouldn't be a Mersenne prime, though, and primes of the form 5^k-1 are going to be ... um... kind of scarce -- and the same if you mix in semi-Snarks and do 10^k-1 or 10^k+1. But I'm sure something could be found that's 5^k - 2 or some other workable offset.

I might try a speculative catalyst/catfind search over the weekend, just in case a different tool helps turn something up.

Here's a first run at finding likely reductions by period-tripling a gun with a smaller period. The table below doesn't take into account reductions already found this morning -- the numbers were from the current README.

The comparison is between the bounding box of the current period-N/3 gun and the current period-N gun. In general, the bigger the discrepancy between the numbers, the more likely it is that a tremi-Snark will improve things.

Period 132: 1218 < 1849
Period 135: 1920 < 3886
Period 138: 784 < 1683
Period 141: 4248 < 4602
Period 180: 1053 < 1320
Period 198: 2295 < 3712
Period 201: 4968 < 5400
Period 216: 1440 < 2960
Period 234: 3248 < 3726
Period 237: 4160 < 5040
Period 243: 3953 < 4760
Period 255: 3953 < 5084
Period 258: 3843 < 4800
Period 261: 3927 < 4730
Period 264: 1512 < 2064
Period 267: 3127 < 4891
Period 270: 1110 < 2162
Period 273: 3240 < 5112
Period 276: 1320 < 2484
Period 279: 3355 < 4425
Period 282: 950 < 1976
Period 285: 3472 < 4543
Period 291: 3591 < 5368
Period 294: 3894 < 4779
Period 297: 3712 < 5467
Period 303: 3835 < 5175
Period 309: 3960 < 5580
Period 312: 861 < 1848
Period 315: 4087 < 4897
Period 318: 4410 < 5133
Period 321: 4216 < 5766
Period 324: 4544 < 4914
Period 327: 3510 < 4698
Period 333: 3630 < 4840
Period 336: 3213 < 4648
Period 339: 3752 < 4984
Period 342: 3328 < 5060
Period 348: 3445 < 4785
Period 351: 4002 < 5278
Period 354: 3564 < 5225
Period 357: 4130 < 5428
Period 360: 726 < 1518
Period 375: 4526 < 5332
Period 378: 4060 < 5644
Period 381: 4662 < 5856
Period 396: 1849 < 3712
Period 399: 5082 < 5200
Period 414: 1683 < 3599
Period 432: 1155 < 2448
Period 435: 4720 < 4830
Period 447: 4838 < 6490
Period 450: 1575 < 2704
Period 462: 4340 < 4355
Period 468: 1764 < 3444
Period 486: 4661 < 4760
Period 489: 5340 < 5609
Period 519: 5568 < 7888
Period 528: 2024 < 2295
Period 534: 3127 < 4189
Period 537: 2808 < 5920
Period 540: 1320 < 3055
Period 543: 5800 < 6580
Period 546: 3240 < 5112
Period 549: 2915 < 5183
Period 552: 1085 < 2430
Period 558: 3355 < 4366
Period 561: 3024 < 5037
Period 564: 1586 < 3192
Period 570: 3472 < 4543
Period 573: 3135 < 5396
Period 582: 3591 < 4543
Period 585: 3248 < 4350
Period 588: 3894 < 4779
Period 594: 3712 < 5396
Period 597: 3363 < 5609
Period 606: 3835 < 4720
Period 609: 3480 < 5530
Period 615: 5175 < 5336
Period 618: 3960 < 5192
Period 621: 3599 < 5986
Period 624: 1394 < 2420
Period 630: 1375 < 3400
Period 633: 3720 < 5460
Period 636: 4410 < 5133
Period 642: 4216 < 5251
Period 645: 3843 < 4662
Period 648: 2960 < 4914
Period 654: 3510 < 4698
Period 657: 3968 < 5795
Period 66: 1125 < 2295
Period 660: 2610 < 2820
Period 666: 3630 < 4840
Period 669: 4095 < 6545
Period 672: 3213 < 5152
Period 678: 3752 < 4984
Period 681: 4224 < 4980
Period 684: 3328 < 5060
Period 69: 2312 < 5390
Period 693: 4355 < 5208
Period 696: 3445 < 4840
Period 702: 3726 < 5278
Period 705: 4488 < 5332
Period 708: 3564 < 5225
Period 711: 5040 < 5063
Period 714: 4130 < 5428
Period 717: 4623 < 5481
Period 72: 1376 < 1440
Period 720: 1155 < 1880
Period 723: 4050 < 4800
Period 726: 4260 < 4757
Period 729: 4760 < 5460
Period 732: 3364 < 3904
Period 738: 1496 < 2992
Period 741: 4899 < 5850
Period 747: 4316 < 5096
Period 753: 5040 < 5655
Period 756: 4060 < 5644
Period 759: 4452 < 5247
Period 762: 4216 < 5856
Period 765: 5084 < 6120
Period 768: 2401 < 4536
Period 771: 4590 < 5400
Period 774: 4800 < 5180
Period 777: 4130 < 5940
Period 783: 4730 < 5555
Period 786: 4940 < 5307
Period 789: 5041 < 6417
Period 792: 2064 < 3944
Period 798: 5082 < 5915
Period 801: 4891 < 6324
Period 804: 4588 < 5112
Period 807: 5016 < 5871
Period 810: 2162 < 3920
Period 813: 5032 < 6762
Period 819: 5112 < 6032
Period 822: 5175 < 5621
Period 825: 4307 < 6624
Period 828: 2484 < 4690
Period 831: 5310 < 6195
Period 834: 4650 < 5760
Period 837: 4425 < 5893
Period 843: 5460 < 5893
Period 846: 1976 < 4608
Period 849: 5467 < 6386
Period 852: 4320 < 4840
Period 855: 4543 < 6527
Period 858: 4661 < 5538
Period 861: 4543 < 6106
Period 864: 2100 < 3740
Period 867: 5766 < 6205
Period 873: 5368 < 6360
Period 879: 5922 < 6776
Period 882: 4779 < 4941
Period 885: 4602 < 5934
Period 891: 5467 < 6364
Period 894: 4838 < 6490
Period 897: 5106 < 6314
Period 900: 1575 < 2754
Period 903: 5538 < 6264
Period 906: 4897 < 5734
Period 909: 5175 < 6396
Period 915: 5538 < 6097
Period 918: 2550 < 5175
Period 921: 5244 < 6478
Period 924: 3256 < 4494
Period 927: 5580 < 6960
Period 933: 5313 < 6560
Period 936: 1848 < 3854
Period 939: 5642 < 6853
Period 942: 5074 < 6205
Period 945: 4897 < 6642
Period 948: 5605 < 5734
Period 951: 5704 < 7140
Period 954: 5133 < 5984
Period 957: 5530 < 6724
Period 963: 5766 < 7138
Period 966: 2397 < 3920
Period 969: 5680 < 6806
Period 972: 4914 < 6004
Period 975: 5828 < 6298
Period 978: 5340 < 5829
Period 981: 4698 < 6888
Period 987: 5890 < 7360
Period 990: 2352 < 3600
Period 999: 4840 < 7381

Looking at the first one in the list, tripling the P44 gun, it doesn't look like the tremi-Snark can improve anything. Even an improbably close weld with the old form of the sparker wouldn't improve anything -- and the weld doesn't quite work anyway:

#C Not a smaller p132 gun, and not quite a gun of any kind
x = 49, y = 39, rule = LifeHistory
23.2A6.2A$21.2B2AB4.B2A2B$21.4B6.4B10.2A$21.5B4.5B8.A.BA$22.5B2.5B8.B
2A$22.5B2.5B9.3A$22.12B10.BAB$7.2A12.14B9.2B2A$6.A.A13.12B11.3B$6.A.A
.2A3.2A4.14B3.2A5.2A$7.A.A.A2.B2AB2.16B.B2AB4.2B$9.A5.2B4.14B2.4B4.AB
$7.2B2AB4.2B3.14B3.2B4.2B$7.2B3A3.8B2A6B2A8B2.3A2B$6.3B3A4B2A4BA2BA4B
A2BA4BABA.2B3AB$6.3B3A7B8A2B8A5B3.2B$7.2B3A2.BA6BA2BA4BA2BA3B2ABAB2.
2A$7.2B2AB2.BAB2A4B2A6B2A8B3.2B$9.A4.BABAB2.14B3.3B3.BA$7.A.A.A2.B2AB
3.13B5.B3.BAB$4.A.A.A.2A3.3B2.14B.B7.B2AB$4.2A2.A12.14B2A7.3A$8.A.4A
8.6B.6B.A8.BAB$7.2A.A3.A6.7B.6BA3.2A5.3A$13.2A6.7B2.3B2.A.A2.A3.2A.B$
13.5B.9B5.2A2.2A5.2A$4.2A9.4B.A6B6.A3.A$3.A.A8.5BA6B.B6.A4.A$3.A8.B.
5B3A6BA4.2A3.2A$2A.AB.B3.BA9B.3B.BA.A$.A.A.2AB.3A9B.B4.BA$.A.A.2A2B2A
10B$2A.A2.5BA9B$A2.4A3BA8B.B2A$.2A2.BAB.BA8B.BA.A$3.2A6.7B5.A$3.A7.2B
.3BA5.2A$5.A9.3BA$4.2A10.3AB!

The next one in the list is the p135 reduction that Kazyan has already done.

p138 = 3*46 is clearly hopeless...

p141 = 3*47 -- wow, all kinds of room in an empty corner again...

#C smaller p141 gun, same size as the p47 gun
x = 72, y = 59, rule = LifeHistory
15.A7.2A22.2A7.A$15.3A4.B2AB6.A13.B2AB4.3A$8.2A8.A4.3B4.3A13.3B4.A8.
2A$9.A7.2A3.B.B4.A5.2A10.B.B3.2A7.A$9.A.AB4.10B.B2A3.A2.A2.2A3.10B4.B
A.A$10.2AB6.3BA8B4.2A2.A.A3.8B6.B2A$12.3B2.6BA5B8.2A.B3.11B2.3B$5.A6.
4B2A2BA2B2A4B.2B5.A2.2B.17B6.A$5.3A5.2B3ABABAB3A5B2A.2A.A.20B5.3A$8.A
5.2B2A2BA2B2A6B2A.A2.A.2A17B5.A$7.2AB4.3BA5BA9B.A.2A.2A17B4.B2A$7.6B.
4B5A6B.2B2.A5.2B.15B.6B$9.10B3A5B4.B.2A8.B2A17B$6.2B.11BA3B.B4.A.A2.
2A4.6B.11B2A2B.2B$2.2A.2A17B6.2A2.A2.A3.2AB4.11B2A4B2A.2A$A2.A.2A17B
11.2A5.A5.5B2A3BABA4B2A.A2.A$2A.A.20B14.3A5.5BAB2A11B.A.2A$3.A2.2B.
17B13.A6.6BABA8B.2B2.A$3.2A.B3.11B2.4B18.4B2.2BA8B3.B.2A$.2A2.A.A3.8B
5.4B16.4B5.8B3.A.A2.2A$A2.A2.2A3.10B4.4B14.4B4.10B3.2A2.A2.A$.2A10.B.
B3.2A5.4B12.4B5.2A3.B.B10.2A$12.3B4.A7.4B10.4B7.A4.3B$12.B2AB4.3A5.4B
8.4B5.3A4.B2AB$13.2A7.A6.3BA6.4B6.A7.2A$30.3BA4.4B$31.3AB2.4B5.2A$32.
8B5.A.A$33.7B5.A$34.9B3A$33.9BAB2.2A$32.11B3A2.A$31.12B2.A.2A$16.A13.
13B2.A$16.3A10.A13B3.3A7.2A$19.A8.BABA2.7B2A5.3A4.B2AB$18.2A7.2B2A5.
4B2A2B7.A4.3B$18.5B3.4B4.5B2.BA2B5.2A3.B.B10.2A$9.2A9.3B2.4B5.2A6.4B
4.10B3.2A2.A2.A$8.A.A8.9B7.A7.4B5.8B3.A.A2.2A$8.A8.B.8B5.3A9.4B2.11B
3.B.2A$5.2A.AB.B3.11B6.A5.A6.17B.2B2.A$6.A.A.2AB.15B9.3A5.12BA7B.A.2A
$6.A.A.2A3B2A9B15.A5.9B2A6B2A.A2.A$5.2A.A2.4B2A9B14.2AB4.B2A15BA.2A$
5.A2.4A12B.B2A12.6B.3A10BAB.BA$6.2A2.BAB.10B.BA.A13.5BA12BAB$8.2A6.7B
5.A10.2B.4B2A9B.2B3AB$8.A7.2B.4B5.2A5.2A.2A5B2A10B4.B2A$10.A9.4B9.A2.
A.2A5BA11B5.A$9.2A10.4B8.2A.A.8B3A2B2A5B5.3A$22.4B10.A2.2B.5B3ABA7B6.
A$23.4B9.2A.B3.6B2A3B2.3B$24.4B6.2A2.A.A3.8B6.B2A$25.4B4.A2.A2.2A3.
10B4.BA.A$26.4B4.2A10.B.B3.2A7.A$27.3BA14.3B4.A8.2A$28.3BA13.B2AB4.3A
$29.3A14.2A7.A!

p180 = 3*60, not much chance, I can only get 49x35=1715...

p198 = 3*66 sneaks in a small improvement...

#C smaller p198 gun
x = 61, y = 60, rule = LifeHistory
51.A2.2A$51.4A.A$56.A$49.7A.2A$48.A2.B3.A.A2.A$48.2A2.2A.AB2.2A$51.B
2AB2A$52.5B$53.3B$37.B14.2A3B$27.B7.2BAB12.B2AB2A$18.2A6.3B3.5B2A2B2.
2A6.2ABA4B$19.A6.3B.7B3AB3.A5.9B$19.A.AB2.2BA6B2A4B4.A.AB3.7B$20.2AB.
2B3A5B3A4B4.2AB.10B$22.3BA2BA5B3A4B6.13B$22.4B3A5BA2BA3B6.13BA$22.4B
3A5B3A2B.B2A4.11BABA$23.4B2A6BA2B2.BA.A5.8B2.2A$22.B3A7B.3B6.A5.6B5.B
$19.B2.2B2A5B3.3B6.2A3.9B$9.B7.2B2A.3BA2B7.B11.6B2.2A$2A6.3B3.4BA2BA
4B20.4B2.B2.A$.A6.3B.6B2ABA5B6.BA10.4B3.B3.3A$.A.AB2.B3A5BA2B2AB2.2BA
B4.2A.B8.4B10.A$2.2AB.2BABA4BA7B2.2B2A3.B.2A7.3AB$4.3BA3BA3BA3BA3B3.
2A2B3.AB7.3BA$4.3BA3BA3BA3BA3B4.5B9.3BA$4.7BA4BABA2B.B2A3.5B7.4B$5.B
2A2BA5B3AB2.BA.A3.3B2A5.4B$4.BAB2A6B.3B6.A4.2BABA3.4B$4.BA2BA4B3.3B6.
2A3.4BAB.4B$6.2A2B7.B13.9B$7.B23.6B2A$31.B3ABABA$7.B24.2BA3B$6.3AB7.B
14.5B$4.BAB3A3B3.3B6.2A4.5B$4.3AB3A4B.3A6.A4.4B$5.2ABAB2A4B3AB2.BA.A
3.5B$4.B2ABABA6BA3B.B2A3.4B$4.2BA4BABA4B2A3B4.2A2B$4.3B2A4BABA4BA2B3.
ABAB$2.2AB.3BA6BABAB2AB2.3BA$.A.AB2.B3A4B2ABAB2A2.4B$.A6.3A.4B3AB3A4B
$2A6.3B3.3B3ABA4B$9.B7.B3A.2B2A2B7.B$19.B2.BA2B2A3B3.3B6.2A$22.BA3BA
5B.BAB6.A$23.A4BA4B2AB2A2.BA.A$22.2BAB3ABA8B.B2A$22.2BABA3BA5B2A3B$
22.3B2A5BA3BABA2B$20.2AB.8BAB3ABA2B$19.A.AB2.2AB2A4BA4BA$19.A6.BAB.5B
A3BAB$18.2A6.3B3.3B2A2BAB$27.B7.2B2A$37.B!

p201 = 3*67, no, the geometry is terrible and alternate glider outputs don't work...

p216 = 3*72 -- yup, definitely improvable.

#C smaller p216 gun using a tremi-Snark
x = 51, y = 43, rule = LifeHistory
47.B.AB$41.BABA.5A$16.A10.A12.3ABAB2A.2A$14.3A10.3A10.B.2B.BA.AB$13.A
5.A4.A5.A7.BA.AB.2B.B$12.A.6A4.6A.A5.2A.2ABAB3A$12.A.A14.A.A5.5A.ABAB
$11.2A2.A2B2A4.2A2BA2.2A4.BA.B$13.AB2A2BA4.A2B2ABA6.2B$13.A.A3B6.3BA.
A5.2B4.2A2.B$14.A2B10.2BA5.4B2.B4ABAB$15.B12.B6.B3A3BA.A2B3A$15.B2A8.
3B5.6B6.B.B$15.3A2B4.5B5.A5BA4.B2A$14.BA5B2.5B2A3.BA5BAB4.AB$14.2A12B
2A2.2B3A3BAB$14.BAB2A5BA5B3.3BABA4B$13.B2A3BA4B2A5B.6BA3B$12.2BA3BA6B
A12BA2B$13.2B3A4B3A10BA5B$15.2A5B2A5B.5BA6B$14.21BABA3B$14.19BA3B3A2B
$15.4B6.2BA3B.BA5BAB$16.2B8.A3B3.A5BA$11.A13.B3A5.6B$11.3A10.4B6.B3AB
3.2A$14.A8.4B3.2A2.8B2AB$13.2A7.4B3.B2A2B2.3B.4B$13.5B3.4B5.2A2B6.3B$
4.2A9.3B2.4B7.A2B6.B3A3.B$3.A.A8.9B3.B3.ABAB7.2A.A.B2A$3.A8.B.8B3.3A.
A.AB10.2A2B2A$2A.AB.B3.BA9B4.4ABA12.2A3B$.A.A.2AB.3A10B4.3BAB13.4B$.A
.A.2A2B2A10B5.4B$2A.A2.5BA9B$A2.4A3BA8B.B2A$.2A2.BAB.BA8B.BA.A$3.2A6.
7B5.A$3.A7.2B.3BA5.2A$5.A9.3BA$4.2A10.3AB!

(And there goes my lunch hour.)

That's a 50% success rate so far, for the periods on this list -- not bad!
dvgrn
Moderator
 
Posts: 3927
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: Thread For Your Bellman Finds

Postby Kazyan » September 8th, 2017, 4:40 pm

With some pushing and pulling on the components, the p198 gets even better:

x = 57, y = 52, rule = LifeHistory
37.B$27.B7.4B8.A2.2A$18.2A6.BAB3.2BA4BAB6.4A.A$19.A6.BAB.3B2A6B11.A$
19.A.AB2.2BA4B3A5B5.7A.2A$20.2AB.B2A4B2ABAB2A3B3.A2.B3.A.A2.A$22.7BA
2BA2B2ABA2B3.2A2.2A.AB2.2A$22.2BAB2A2BA2BA7B6.B2AB2A$22.3B2ABAB2A4B2A
B.B2A5.5B$23.5B3A4BA2B2.BA.A5.3B$22.6B2A3B.BAB6.A4.2A3B$19.B2.A5BA2B
3.BAB6.2A2.B2AB2A$9.B7.4B.B2A3B7.B3.2A6.2ABA4B$2A6.3B3.B2A5B2A2B14.A
5.9B$.A6.3A.2BA2BA9B13.A.AB3.7B$.A.AB2.2BA3BA8B2.4B13.2AB.10B$2.2AB.
2BA4BA2BAB2A3B2.4B14.13B$4.5BA2BABAB3A4B3.BABA6.BA5.13BA$4.4B3ABABA2B
A5B4.B2AB4.2A.B4.11BABA$4.3B2ABA2BA4BA2B.B2A3.A3B3.B.2A6.8B2.2A$5.8BA
3BA2B2.BA.A3.4B3.AB7.6B5.B$4.5BA2BA2B.3A6.A3.6B9.9B$4.6B2AB3.3B6.2A3.
3BA2B7.6B2.2A$6.4B7.B14.2B2AB5.4B2.B2.A$7.B25.2A3B3.4B3.B3.3A$33.6B.
4B10.A$34.5B3AB$12.B21.7BA$11.4B7.B11.6BAB$9.9B3.BAB6.2A3.6B$9.9BAB.A
2B6.A4.5B$10.2B2A4BA4BAB2.BA.A3.2A3B$9.2BA2BA11B.B2A3.ABAB$9.2B2AB2A
8BA3B4.3BAB$9.3BA8B2AB2A2B3.4B$7.2AB.11BA2BA2B2.4B$6.A.AB2.BA4BA4B2A
2B2.4B$6.A6.2BA.BA9B3AB$5.2A6.BAB3.11BA$14.B7.4B.2BA3B7.A$24.B2.9B3.
2BA6.2A$27.9B2A.A2B6.A$28.2B2A4B5A2B2.BA.A$27.2BA2BA5B4A2B.B2A$27.2BA
2BA7BABA3B$27.3BABA7BA2BA2B$25.2AB.2B4A5BA2BA2B$24.A.AB2.2B5A4B2A2B$
24.A6.2BA.2A9B$23.2A6.A2B3.9B$32.A7.4B$42.B!


Further discussion should probably go to the Variable-Speed Firing Squad thread.
Tanner Jacobi
User avatar
Kazyan
 
Posts: 685
Joined: February 6th, 2014, 11:02 pm

Re: Thread For Your Bellman Finds

Postby Kazyan » September 13th, 2017, 6:52 pm

While this thread is up here, this catalyst is rather general. It's a glider eater, but that's the last of what it can do, judging from two quick tests.

x = 13, y = 12, rule = B3/S23
3bo5bo$2bobo3bobo$bo2bo3bo2bo$ob2ob2obo3bo$o4bobob3o$b3o3bobo$3bobobob
o$4b2ob2o2$6bo$5b2o$5bobo!
Tanner Jacobi
User avatar
Kazyan
 
Posts: 685
Joined: February 6th, 2014, 11:02 pm

Re: Thread For Your Bellman Finds

Postby A for awesome » September 13th, 2017, 7:21 pm

Kazyan wrote:While this thread is up here, this catalyst is rather general. It's a glider eater, but that's the last of what it can do, judging from two quick tests.

x = 13, y = 12, rule = B3/S23
3bo5bo$2bobo3bobo$bo2bo3bo2bo$ob2ob2obo3bo$o4bobob3o$b3o3bobo$3bobobob
o$4b2ob2o2$6bo$5b2o$5bobo!

I posted this a while back as a result of a dr search. It's been used in at least one conduit so far, but I don't have time to search for it.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce
User avatar
A for awesome
 
Posts: 1385
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

Previous

Return to Patterns

Who is online

Users browsing this forum: No registered users and 5 guests