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Re: Small Four-Digit Prime Period Guns
Posted: April 1st, 2019, 7:57 am
by chris_c
dvgrn wrote:chris_c wrote:I don't think this about the base loop size because you get the exact same crash no matter what the base size. More this is about the sequence of the gliders I think. Just adding a single block to your pattern to destroy the first glider from the Herschel at top-middle allows the gun to function as p1534...
... a little more experimenting and this is definitely getting too weird for me. Take your p988+N? gun and do nothing except replace the semi-snark with a tremi-snark.... it works... and what is the period? p1534 again!
Well, that almost kind of makes sense to me, I guess. Dropping that block into the base loop basically removes one of the two circulating gliders in it. These things are much less mind-bending when there's only one glider in the loop at a time.
Oh... that was dumb of me! I blame it on an optical illusion ;)
EDIT3: No, there is not one glider in the loop. If there was, the period would still be p988.
In that case, is this the same as what is happening with your 1035->1621 example? There we also have 1621-1035 = (Period of base loop). So when I saw the same numerical thing happening with the 988 gun I assumed it was the same reason.
EDIT: briefly looked at your p2228 gun... will have to try to understand later...
EDIT2: no, not neccessary... the advertised p2228 gun is in fact.... a p1534 gun! (I mean it would be if you replaced the tremi-snark with a semi-snark)
Re: Small Four-Digit Prime Period Guns
Posted: April 1st, 2019, 1:56 pm
by dvgrn
testitemqlstudop wrote:dvgrn wrote:testitemqlstudop wrote:Running dvgrn's script for the first time!
Oh, good. Was this by downloading the ZIP file from GitHub? Any difficulties to report?
There were some difficulties, particularly the "ouptut not appearing after subperiod cycle" errors; I fixed it by replacing g.exit with g.show and continue (to not save the output), but other than that it was mostly fine.
Sounds like a reasonable workaround. I'm not clear on exactly why it was necessary, though; can you dig up the particular periods where that happened for you? The usual goal is to be able to build all 1011 guns successfully, so the script stops and reports a problem as soon as it finds that a template is wrong.
However, I was able to run the current ZIP-file package against the current ceebo/glider_guns and build all 1011 guns without any such errors. Were you running against a version of ceebo/glider_guns that's different from what's currently checked in? Not that it necessarily matters much -- I'm just trying to stabilize the gun-builder project as much as possible, to encourage chris_c to use it as a way of testing new guns when they're checked in.
EDIT: Unrelated, but something that might as well be in this thread for reference: here are all the four-digit primes divided up by period mod 8.
Code: Select all
8N+1 8N+3 8N+5 8N+7
---- ---- ---- ----
1009
1013
1019
1021
1031
1033
1039
1049
1051
1061
1063
1069
1087
1091
1093
1097
1103
1109
1117
1123
1129
1151
1153
1163
1171
1181
1187
1193
1201
1213
1217
1223
1229
1231
1237
1249
1259
1277
1279
1283
1289
1291
1297
1301
1303
1307
1319
1321
1327
1361
1367
1373
1381
1399
1409
1423
1427
1429
1433
1439
1447
1451
1453
1459
1471
1481
1483
1487
1489
1493
1499
1511
1523
1531
1543
1549
1553
1559
1567
1571
1579
1583
1597
1601
1607
1609
1613
1619
1621
1627
1637
1657
1663
1667
1669
1693
1697
1699
1709
1721
1723
1733
1741
1747
1753
1759
1777
1783
1787
1789
1801
1811
1823
1831
1847
1861
1867
1871
1873
1877
1879
1889
1901
1907
1913
1931
1933
1949
1951
1973
1979
1987
1993
1997
1999
2003
2011
2017
2027
2029
2039
2053
2063
2069
2081
2083
2087
2089
2099
2111
2113
2129
2131
2137
2141
2143
2153
2161
2179
2203
2207
2213
2221
2237
2239
2243
2251
2267
2269
2273
2281
2287
2293
2297
2309
2311
2333
2339
2341
2347
2351
2357
2371
2377
2381
2383
2389
2393
2399
2411
2417
2423
2437
2441
2447
2459
2467
2473
2477
2503
2521
2531
2539
2543
2549
2551
2557
2579
2591
2593
2609
2617
2621
2633
2647
2657
2659
2663
2671
2677
2683
2687
2689
2693
2699
2707
2711
2713
2719
2729
2731
2741
2749
2753
2767
2777
2789
2791
2797
2801
2803
2819
2833
2837
2843
2851
2857
2861
2879
2887
2897
2903
2909
2917
2927
2939
2953
2957
2963
2969
2971
2999
3001
3011
3019
3023
3037
3041
3049
3061
3067
3079
3083
3089
3109
3119
3121
3137
3163
3167
3169
3181
3187
3191
3203
3209
3217
3221
3229
3251
3253
3257
3259
3271
3299
3301
3307
3313
3319
3323
3329
3331
3343
3347
3359
3361
3371
3373
3389
3391
3407
3413
3433
3449
3457
3461
3463
3467
3469
3491
3499
3511
3517
3527
3529
3533
3539
3541
3547
3557
3559
3571
3581
3583
3593
3607
3613
3617
3623
3631
3637
3643
3659
3671
3673
3677
3691
3697
3701
3709
3719
3727
3733
3739
3761
3767
3769
3779
3793
3797
3803
3821
3823
3833
3847
3851
3853
3863
3877
3881
3889
3907
3911
3917
3919
3923
3929
3931
3943
3947
3967
3989
4001
4003
4007
4013
4019
4021
4027
4049
4051
4057
4073
4079
4091
4093
4099
4111
4127
4129
4133
4139
4153
4157
4159
4177
4201
4211
4217
4219
4229
4231
4241
4243
4253
4259
4261
4271
4273
4283
4289
4297
4327
4337
4339
4349
4357
4363
4373
4391
4397
4409
4421
4423
4441
4447
4451
4457
4463
4481
4483
4493
4507
4513
4517
4519
4523
4547
4549
4561
4567
4583
4591
4597
4603
4621
4637
4639
4643
4649
4651
4657
4663
4673
4679
4691
4703
4721
4723
4729
4733
4751
4759
4783
4787
4789
4793
4799
4801
4813
4817
4831
4861
4871
4877
4889
4903
4909
4919
4931
4933
4937
4943
4951
4957
4967
4969
4973
4987
4993
4999
5003
5009
5011
5021
5023
5039
5051
5059
5077
5081
5087
5099
5101
5107
5113
5119
5147
5153
5167
5171
5179
5189
5197
5209
5227
5231
5233
5237
5261
5273
5279
5281
5297
5303
5309
5323
5333
5347
5351
5381
5387
5393
5399
5407
5413
5417
5419
5431
5437
5441
5443
5449
5471
5477
5479
5483
5501
5503
5507
5519
5521
5527
5531
5557
5563
5569
5573
5581
5591
5623
5639
5641
5647
5651
5653
5657
5659
5669
5683
5689
5693
5701
5711
5717
5737
5741
5743
5749
5779
5783
5791
5801
5807
5813
5821
5827
5839
5843
5849
5851
5857
5861
5867
5869
5879
5881
5897
5903
5923
5927
5939
5953
5981
5987
6007
6011
6029
6037
6043
6047
6053
6067
6073
6079
6089
6091
6101
6113
6121
6131
6133
6143
6151
6163
6173
6197
6199
6203
6211
6217
6221
6229
6247
6257
6263
6269
6271
6277
6287
6299
6301
6311
6317
6323
6329
6337
6343
6353
6359
6361
6367
6373
6379
6389
6397
6421
6427
6449
6451
6469
6473
6481
6491
6521
6529
6547
6551
6553
6563
6569
6571
6577
6581
6599
6607
6619
6637
6653
6659
6661
6673
6679
6689
6691
6701
6703
6709
6719
6733
6737
6761
6763
6779
6781
6791
6793
6803
6823
6827
6829
6833
6841
6857
6863
6869
6871
6883
6899
6907
6911
6917
6947
6949
6959
6961
6967
6971
6977
6983
6991
6997
7001
7013
7019
7027
7039
7043
7057
7069
7079
7103
7109
7121
7127
7129
7151
7159
7177
7187
7193
7207
7211
7213
7219
7229
7237
7243
7247
7253
7283
7297
7307
7309
7321
7331
7333
7349
7351
7369
7393
7411
7417
7433
7451
7457
7459
7477
7481
7487
7489
7499
7507
7517
7523
7529
7537
7541
7547
7549
7559
7561
7573
7577
7583
7589
7591
7603
7607
7621
7639
7643
7649
7669
7673
7681
7687
7691
7699
7703
7717
7723
7727
7741
7753
7757
7759
7789
7793
7817
7823
7829
7841
7853
7867
7873
7877
7879
7883
7901
7907
7919
7927
7933
7937
7949
7951
7963
7993
8009
8011
8017
8039
8053
8059
8069
8081
8087
8089
8093
8101
8111
8117
8123
8147
8161
8167
8171
8179
8191
8209
8219
8221
8231
8233
8237
8243
8263
8269
8273
8287
8291
8293
8297
8311
8317
8329
8353
8363
8369
8377
8387
8389
8419
8423
8429
8431
8443
8447
8461
8467
8501
8513
8521
8527
8537
8539
8543
8563
8573
8581
8597
8599
8609
8623
8627
8629
8641
8647
8663
8669
8677
8681
8689
8693
8699
8707
8713
8719
8731
8737
8741
8747
8753
8761
8779
8783
8803
8807
8819
8821
8831
8837
8839
8849
8861
8863
8867
8887
8893
8923
8929
8933
8941
8951
8963
8969
8971
8999
9001
9007
9011
9013
9029
9041
9043
9049
9059
9067
9091
9103
9109
9127
9133
9137
9151
9157
9161
9173
9181
9187
9199
9203
9209
9221
9227
9239
9241
9257
9277
9281
9283
9293
9311
9319
9323
9337
9341
9343
9349
9371
9377
9391
9397
9403
9413
9419
9421
9431
9433
9437
9439
9461
9463
9467
9473
9479
9491
9497
9511
9521
9533
9539
9547
9551
9587
9601
9613
9619
9623
9629
9631
9643
9649
9661
9677
9679
9689
9697
9719
9721
9733
9739
9743
9749
9767
9769
9781
9787
9791
9803
9811
9817
9829
9833
9839
9851
9857
9859
9871
9883
9887
9901
9907
9923
9929
9931
9941
9949
9967
9973
Re: Small Four-Digit Prime Period Guns
Posted: April 3rd, 2019, 12:22 am
by Extrementhusiast
This would have been more useful in the pre-syringe era, but in case anyone needs some ideas:
Code: Select all
x = 33, y = 35, rule = LifeHistory
13.A$11.3A$10.A$10.2A4$2.A$A.A$.2A2$9.2C19.3D$10.2C19.D$10.C18.3D10$
15.2A$15.2A5$29.2A$29.2A2$20.2A.A7.D$20.A.2A6.3D$29.2D.D!
(The eater is optional, as it merely suppresses a long-distance spark.)
Unfortunately, the only compatible way to get that R in there is to use the old G2/5/6->R converter. Even then, the glider must be inserted in rather late, as it would otherwise collide with the top block in that conduit.
Re: Execution of Old Guns by Variable-Speed Firing Squad
Posted: September 7th, 2023, 12:03 pm
by confocaloid
confocaloid wrote: September 6th, 2023, 5:25 pm
Code: Select all
x = 114, y = 152, rule = B3/S23
24b2o$17b2o5b2o$17b2o3$19b2o17b2o8b2o$19b2o17bo9b2o$13b2o21bobo$13b2o
21b2o$54b2o$54b2o$50b2o$50b2o4$26b3o26b2o$13bo14bo26b2o$13b3o11bo$16bo
$15b2o4$14b2o$14b2o4$14b2o$14b3o$8b2o4bo$8b2o5b3o4b2o$15b2o4b2ob2o$15b
3o4bo2bo30bo$13b2ob2o4bo2bo28bobo$13b2ob2o5b2o30b2o34bo$15bo73b3o$9b2o
77bo$9b2o66bo10b2o$27b2o21b2o16bo8b3o$26bobo21b2o16b3o9bo$15b2o9bo17b
2o25bo7b2o$15b2o8b2o17b2o24b2o2$56b2o$46b2o9bo$39b2o5b2o9bob2o$39b2o
17bo2bo$59b2o$74b2o13b2o$74b2o13b2o21b2o$112b2o6$77b2obo$77b2ob3o$83bo
25b2o$77b2ob3o26bobo$78bobo18b2o10bo$66b2o10bobo17bobo10b2o$66b2o11bo
18bo$97b2o24$61bo$61b2o$60bobo28$31bo$31b2o$30bobo28$bo$b2o$obo!
Puts a glider on a transparent lane and leaves a block to stop the next glider on the lane. If the block is not removed before next use, then the output lane becomes permanently transparent, and the gadget becomes a "2x pulse dividing eater".
guntrue_2333 reduced from 283x180 to 155x148:
Code: Select all
x = 155, y = 148, rule = B3/S23
86b2o47bo$79b2o5b2o45b3o$79b2o51bo$113bo18b2o7b2o3b2o$113b3o25b2o3b2o$
81b2o17b2o14bo$81b2o17bo14b2o$75b2o21bobo52b2o$75b2o21b2o53bo$53b2o2bo
93bobo$52bob4o93b2o$52bo$50b2ob7o52b2o$48bo2bobo6bo51b2o$48b2o3bob2o2b
2o$52b2ob2o2$148b2o$148bo$53bo65b2o28b3o$52bobo9b2o36b2o15bo31bo$52bob
o9bo7b2o28bo17b3o$53bo8bobo8bo29b3o16bo$62b2o9bobo29bo$74b2o3$135b2o$
135b2o$143b2o$52b2o89bo$53bo90b3o$50b3o93bo$50bo$145bo$144bobo$75b2o
15b2o50bobo$75b2o15bobo48b2ob3o$94bo54bo$94b2o47b2ob3o$143b2obo2$135b
2o$135b2o2$88bo$76b3o7b3o38b2o$74b2o3bo5bo40bobo$85b2o39bo$79bo45b2o$
9bo64bo3bo69b2o$9b3o63b3o70b2o$12bo$11b2o$67b2o$68bo$3b2o63bobo62bo$3b
o65b2o61bobo$2obo128bobo$o2b3o4b2o121bo$b2o3bo3b2o74b2o42b3o$3b4o62b2o
15b2o19b2o21bo$3bo15b2o47bobo25bo10b2o$4b3o12bobo46bo27b3o$7bo13bo45b
2o30bo$2b5o14b2o75b2o$2bo$4bo107bo$3b2o81b2o15bo8bo$87bo14b2o6bo$87bob
o12bob2obob2o$88b2o13bo3bo$103bo8b2o$105bo2bo$96b2o11b2ob2o$71b2o24bo
8bo4bo$70bobo21b3o8bobo$70bo23bo9b3o$69b2o7b2o$78b2o$106b2o4$108b2o$
89bo18b2o$87b3o$86bo$86b2o5$68bo$68b3o$71bo$70b2o9$110b2o$85b2o23b2o7b
2o$81bo3b2o32bo$80bobo34bobo$65b2o13bobo34b2o$65b2o14bo2$103b2o$70bobo
5b2o22bobo$70b2obo4bo23bo$73bo5b3o19b2o$73b2o6bo2$78b2o$77bobo$77bo$
76b2o2$62b2o$63bo$63bob2o$64bo2bo$65b2o$80b2o13b2o$80b2o13b2o5$119b2o$
119b2o$83b2obo6b2o$83b2ob3o3bobo$89bo2bo$83b2ob3o2b2o26b2o$84bobo32b2o
$72b2o10bobo18b2o$72b2o11bo18bobo$104bo$103b2o8b2o$113bo27bo$114b3o25b
o$116bo23b3o!
#C [[ MAXGRIDSIZE 9 THEME LifeHistory ]]
The old gun was the following; probably it was somehow generated automatically, rather than assembled by a human? (One could simplify it almost trivially by removing unnecessary parts.)
Code: Select all
#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH guntrue_2333 costs 50940 cells.
#C period 2333 fullperiod 2333 bbox 283 by 180
#CLL state-numbering golly
x = 283, y = 180, rule = LifeHistory
25.B3A77.2A11.A$26.A3B75.B2AB9.A.A$27.A3B75.3B9.A.A2.2A3.A$28.4B
73.B.B9.2A.2A2.A2.A.A$29.4B72.5B8.B2.A.A3.A.A$30.4B71.6B6.2ABA2.4A
.A$31.4B70.8B4.2A.A.A3.A$32.4B70.13B2.A.AB2.A$33.4B67.13B5.A.A2B.A
$34.4B65.15B5.A2B.2A47.2A$35.4B64.15B4.3B17.A31.2B2AB$36.4B62.17B.
B.2B16.3A13.A17.4B$37.4B61.29B8.A16.3A15.6B$38.4B59.13B2A16B7.2A
18.A15.5B$39.4B57.14B2A16B2.B.5B17.2A15.6B$40.4B55.2AB3.27B.6B19.
4B13.7B13.2A$41.4B53.A2.A4.33B7.7B.B5.3B12.6B13.A.A$42.4B51.A.2A5.
6B3.B2.2B2.19B.B3.13B.4B10.7B7.2A4.A$43.4B50.A7.6B14.46B4.6B5.A2.A
2.2A.4A$44.4B48.2A6.9B14.45B2.7B5.2A.A.A.A.A2.A$45.4B54.4B4.2A15.
44B2.7B8.A.ABABAB$46.4B52.4B5.A15.21B2A22B.9B7.A.AB2AB$47.4B50.4B
7.3A12.7B.13B2A32B8.AB.2B$48.4B49.4B9.A10.2AB.3B4.6B2.11B3.2B2.20B
4.B6.3B$49.4B47.5B19.A.AB9.4B3.10B11.19B.B2A5.4B6.2A$50.4B43.9B18.
A10.5B5.6B16.19B2A3.3B2AB6.A$51.4B42.9B17.2A10.2A9.3B19.17B.B4.3B
2AB3.BA.A$52.4B41.9B30.A9.B20.17B5.10B.B2A$53.4B40.10B26.3A9.2A20.
17B4.13B$54.4B38.12B25.A11.A19.2AB.15B3.14B$55.4B36.13B8.2A25.A.A
18.A.AB4.12B2.15B$56.4B36.11B9.A19.2A5.2A19.A9.15B2.8B$57.4B36.12B
4.BA.A18.A.A25.2A8.15B5.6B$58.4B35.15B.B2A19.A11.A25.14B4.9B$59.4B
34.17B20.2A9.3A26.12B5.2A4.4B$60.4B33.17B20.B9.A30.10B7.A5.4B$61.
4B29.B.17B19.3B9.2A10.2A17.9B5.3A7.4B$62.4B27.2A19B16.6B5.5B10.A
18.9B5.A10.4B$63.4B26.2AB.19B11.10B3.4B9.BA.A19.6B19.4B$64.4B26.B
4.20B2.2B3.11B2.6B4.3B.B2A10.A9.5B21.4B$65.4B30.32B2A13B.7B12.3A7.
4B23.4B$66.4B29.9B.22B2A21B15.A5.4B25.4B$67.4B29.7B2.44B15.2A4.4B
27.4B$68.4B28.7B2.45B14.9B6.2A21.4B$23.A45.4B27.6B4.46B14.6B7.A23.
4B$23.3A44.4B26.7B10.4B.13B3.B.19B2.2B2.B3.6B5.2A.A24.4B$26.A44.4B
25.6B12.3B5.B.7B7.33B4.A2.A26.4B$25.2A6.A38.4B23.7B13.4B19.6B.27B
3.B2A28.4B$25.4B3.A.A38.4B23.5B16.2A17.5B.B2.16B2A14B30.4B$27.5B.A
40.4B21.6B16.A18.2A7.16B2A13B32.4B$26.7B42.4B19.9B15.3A16.A8.29B
34.4B$21.B.10B43.4B17.7B.2A17.A13.3A16.2B.B.17B35.4B$20.2AB.9B44.
4B15.4B5.A32.A17.3B4.16B36.4B$20.2A6B2A3B45.4B13.4B7.3A43.2A.2BA5.
17B36.4B$21.2B.4B2A3B46.4B11.4B10.A43.A.2BA.A5.17B36.4B$24.10B2.2B
42.4B9.4B56.A2.BA.A2.13B3.4B36.4B$24.13B2A42.4B7.4B58.A3.A.A.2A4.
8B3.4B36.4B$24.13B2A43.4B5.4B57.A.4A2.AB2A6.6B4.4B36.4B$24.11B.2B
45.4B3.4B57.A.A3.A.A2.B8.5B5.4B36.4B$22.2AB.9B49.4B.4B58.A.A2.A2.
2A.2A9.B.B6.4B36.4B$21.A.AB.7B52.7B60.A3.2A2.A.A9.3B8.4B36.4B$21.A
5.7B52.5B69.A.A9.B2AB8.4B36.4B$12.2A6.2A5.8B51.5B70.A11.2A10.4B36.
4B$12.A13.4B2.4B49.7B94.4B36.4B$7.2A5.A10.4B4.4B47.4B.4B94.4B36.4B
$7.A5.2A9.4B6.4B45.4B3.4B94.4B36.4B$4.2A.A.3B11.4B8.4B43.4B5.4B94.
4B36.4B$4.A2.A.2A2B2A7.4B10.4B41.4B7.4B94.4B36.4B$6.2A.A.2B2AB5.4B
12.4B39.4B9.4B94.4B36.4B$9.A.4B5.4B14.4B37.4B11.4B94.4B36.4B$9.2A.
4B3.4B16.4B35.4B13.4B94.4B36.4B$12.10B18.4B33.4B15.4B94.4B36.4B$3.
2A7.9B20.4B31.4B17.4B94.4B36.4B$3.A8.8B22.4B29.4B3.2A14.4B94.4B36.
4B$2A.A.B3.10B24.4B27.4B3.B2AB14.4B94.4B36.4B$A2.3AB.2B2A7B25.4B
25.4B5.2B16.4B94.4B36.4B$.2A2.BA3B2A7B26.4B23.5B4.2B18.4B94.4B36.
4B$3.4A12B27.4B20.14B18.4B94.4B36.4B$3.A.2B3.7B.B2A26.4B19.14B19.
4B94.4B36.4B$4.3AB2.7B.BA.A26.4B6.A10.18B5.B11.4B94.4B36.4B$7.A4.
4B5.A27.4B5.3A7.26B11.4B94.4B36.4B$2.5A5.4B5.2A27.4B7.A5.29B10.4B
94.4B36.4B$2.A10.4B34.4B5.2A4.30B.B9.4B94.4B36.4B$4.A9.4B34.4B4.
37B2A9.4B94.4B36.4B$3.2A10.4B34.4B5.35B2A10.4B94.4B36.4B$16.4B34.
4B2.8B2.28B12.4B94.4B36.4B$17.4B34.15B3.16B.B4.3B13.4B94.4B10.2A
24.4B$18.4B34.14B4.2B.10B25.4B94.4B9.A26.4B$19.4B34.13B7.9B27.4B
94.4B10.A25.4B$20.4B34.10B.B2A6.11B25.4B87.2A5.4B5.5A26.4B$21.4B
35.3B2AB3.BA.A5.12B25.4B87.A5.4B4.A32.4B$22.4B34.3B2AB6.A5.12B26.
4B86.A.AB.7B2.B3A30.4B$23.4B35.4B6.2A5.11B27.4B86.2AB.7B3.2B.A30.
4B$24.4B34.3B12.4B.8B28.4B87.12B4A31.4B$25.4B30.AB.2B13.2A4.7B29.
4B86.7B2A3BAB2.2A30.4B$26.4B28.A.AB2AB13.A4.7B30.4B85.7B2A2B.B3A2.
A30.4B$27.4B27.A.ABABAB9.3A6.6B31.4B84.10B3.B.A.2A31.2B2A$28.4B23.
2A.A.A.A.A2.A7.A8.7B31.4B82.8B8.A35.BABA$29.4B22.A2.A2.2A.4A16.8B
31.4B80.9B7.2A36.A3B$30.4B23.2A4.A21.8B31.4B78.4B2.3B47.4B$31.4B
28.A.A19.9B31.4B76.4B3.5B46.4B$32.4B28.2A18.6B.4B31.4B74.4B7.2A47.
4B10.2A$33.4B47.7B.4B31.4B72.4B8.A49.4B9.A$34.4B47.6B2.4B31.4B70.
4B10.3A47.4B10.A$35.4B46.6B3.4B31.4B68.4B13.A41.2A5.4B5.5A$36.4B
45.6B4.4B31.4B66.4B57.A5.4B4.A$37.4B43.8B4.4B31.4B64.4B58.A.AB.7B
2.B3A$38.4B41.8B6.4B31.4B62.4B60.2AB.7B3.2B.A$39.4B40.9B6.4B31.4B
60.4B63.12B4A$40.4B39.9B7.4B31.4B58.4B64.7B2A3BAB2.2A$41.4B37.10B
8.4B31.4B56.4B65.7B2A2B.B3A2.A$42.4B36.3B2A5B9.4B31.4B54.4B66.10B
3.B.A.2A$43.4B34.4B2A5B10.4B31.4B52.4B66.8B8.A$44.4B28.2A3.11B11.
4B31.4B50.4B66.9B7.2A$45.4B27.A2.A12B12.4B31.4B48.4B66.4B2.3B$46.
4B22.2A4.2A2.8B15.4B31.4B46.4B66.4B3.5B$47.4B22.A9.7B4.2A10.4B31.
4B44.4B66.4B7.2A$48.4B21.A.AB7.6B4.A12.4B31.4B42.4B66.4B8.A$49.4B
10.A10.2AB.3B3.6B.BA.A13.4B31.4B40.4B66.4B10.3A$50.4B7.3A12.14B.B
2A15.4B31.4B38.4B66.4B13.A$51.4B5.A15.16B18.4B31.4B36.4B66.4B$52.
4B4.2A15.14B20.4B31.4B34.4B66.4B$45.2A6.9B14.16B20.4B31.4B32.4B66.
4B$46.A7.6B14.18B21.4B31.4B30.4B66.4B$46.A.2A5.6B3.B2.2B2.20B23.4B
31.4B25.B2.4B66.4B$47.A2.A4.35B25.4B31.4B22.8B66.4B$48.2AB3.27B.7B
27.4B31.4B19.9B66.4B$49.14B2A16B2.6B28.4B31.4B7.2A9.8B66.4B$50.13B
2A16B3.6B28.4B31.4B5.B2AB7.8B66.4B$51.29B6.4B29.4B31.4B5.3B6.10B
64.4B$51.17B.B.2B12.B2A2B30.4B31.4B3.B.B7.9B64.4B$52.15B4.3B12.2A.
B2A29.4B31.4B.6B6.7B64.4B$52.15B5.A2B.2A11.BA.A29.4B31.10B4.9B9.A
53.4B$53.13B5.A.A2B.A14.A30.4B22.2A7.24B6.A.A51.4B$55.13B2.A.AB2.A
15.2A30.4B22.A8.24B5.A.A50.4B$54.8B4.2A.A.A3.A49.4B21.A.AB6.22B4.B
2A.2A48.4B$54.6B6.2ABA2.4A.A48.4B10.A10.2AB.3B2.23B2.BA2.A2.A46.4B
$54.5B8.B2.A.A3.A.A48.4B7.3A12.32BABA.A.A.A44.4B$54.B.B9.2A.2A2.A
2.A.A49.4B5.A15.33BA.A.A.A44.4B$55.3B9.A.A2.2A3.A51.4B4.2A15.33B.A
.A45.4B$54.B2AB9.A.A52.2A6.9B14.29B2.2B.BAB.A43.4B$55.2A11.A54.A7.
6B14.30B6.2B2AB42.4B$123.A.2A5.6B3.B2.2B2.20B2.12B7.2B27.2A13.4B$
124.A2.A4.35B3.11B7.2B29.A12.4B$125.2AB3.27B.7B5.9B7.B2AB27.A12.4B
$126.14B2A16B2.6B7.7B8.2A28.2A2.2A6.4B$127.13B2A16B3.6B5.9B40.A.A
5.4B$128.29B6.4B5.10B34.4A.A6.4B$128.17B.B.2B12.B2A2B6.8B35.A2.A.
2A4.4B$129.15B4.3B12.2A.B2A5.8B37.5B2.4B$129.15B5.A2B.2A11.BA.A4.
9B37.9B$130.13B5.A.A2B.A14.A6.8B36.8B$132.13B2.A.AB2.A15.2A7.B2.4B
34.8B$131.8B4.2A.A.A3.A29.4B22.2A9.7B$131.6B6.2ABA2.4A.A28.4B22.A
10.6B4.2A$131.5B8.B2.A.A3.A.A28.4B21.A.AB7.6B4.A$131.B.B9.2A.2A2.A
2.A.A29.4B10.A10.2AB.3B3.6B.BA.A$132.3B9.A.A2.2A3.A31.4B7.3A12.14B
.B2A$131.B2AB9.A.A40.4B5.A15.16B$132.2A11.A42.4B4.2A15.14B$181.2A
6.9B14.16B$182.A7.6B14.18B$182.A.2A5.6B3.B2.2B2.20B$183.A2.A4.36B$
184.2AB3.27B.9B$185.14B2A16B2.7B$186.13B2A16B2.7B$187.29B4.6B$187.
17B.B.2B10.7B$188.15B4.3B10.6B$188.15B5.A2B.2A6.7B$189.13B5.A.A2B.
A7.5B$191.13B2.A.AB2.A8.5B$190.8B4.2A.A.A3.A7.7B$190.6B6.2ABA2.4A.
A5.2A.3B$190.5B8.B2.A.A3.A.A5.A$190.B.B9.2A.2A2.A2.A.A2.3A$191.3B
9.A.A2.2A3.A3.A$190.B2AB9.A.A$191.2A11.A!
Re: Execution of Old Guns by Variable-Speed Firing Squad
Posted: September 7th, 2023, 1:46 pm
by dvgrn
confocaloid wrote: September 7th, 2023, 12:03 pm
The old gun was the following; probably it was somehow generated automatically, rather than assembled by a human? (One could simplify it almost trivially by removing unnecessary parts.)
If I remember right, calcyman imported all of the four-digit prime-period guns from googleplex's GitHub repo. The
p2333 gun is in there. It comes from
chris_c's universal gun-builder script, which generates a gun with a bounding box size on the order of O(log(period)), for any period 1703 or above. That script does in fact produce that gun if you feed it "2333" and take default settings otherwise.
It's definitely true that
smaller guns can easily be built for every one of those universal-script-built prime periods. The idea was basically just that at least we would know that there's "
no point in building anything if it's going to end up bigger than one of these".
Would it be okay if I move these two posts over to the
Small Four-Digit Prime Period Guns thread? That thread was originally created to take some of the pressure off of the "Execution of Old Guns" thread, which was mostly used for periods up to 1024 (back when chris_c's repository was the main storage location for guns, and periods above 1024 weren't collected). That thread hasn't seen any use for a few years, but it still looks like a better place to find different ideas for "loop then reset" guns along the lines of the new p2333.
EDIT: Moved, based on the quotation of the question below. (The question didn't actually get answered, technically speaking -- so if I'm guessing wrong, not to worry, I can always move these back again.)
Re: Small Four-Digit Prime Period Guns
Posted: September 7th, 2023, 3:27 pm
by confocaloid
confocaloid wrote: September 7th, 2023, 12:03 pm
The old gun was the following; probably it was somehow generated automatically, rather than assembled by a human? (One could simplify it almost trivially by removing unnecessary parts.)
It seems that designs in this thread did not yet reach Catagolue; e.g.
guntrue_1993 is larger than
the p1993 gun posted on the first page.
Some solutions produced by Hersrch (especially with recent discoveries added to the database) might be competitive for periods below ~2000 or so. E.g. here is a 1879-step track found using Spartan components (ignoring welds):
Code: Select all
x = 147, y = 138, rule = B3/S23
124bo$124b3o$127bo$109bo16b2o$109b3o$112bo$22b2o87b2o$22bobo$24bo67bo$
24b2o50bo15b3o40b2o$15b2o57b3o18bo39b2o$15bobo55bo20b2o11b2o$16bo56b2o
32b2o2$138b2o$27b2o109b2o$27b2o$48b2o$48b2o26b2o$76b2o2$bo116b2o$b3o
113bobo$4bo112bo$3b2o111b2o$46b2o$45bobo38b2o34b2o$2o11b2o30bo41bo20b
2o12bobo$2o10bo2bo28b2o25b2o11b3o21bobo12bo$13bobo55b2o11bo25bo$14bo
95b2o$17b2o$17bo39b2o36bo23b2o17b2o$2b2o14b3o37bo36b3o22bo17bo$bobo16b
o34b3o40bo21bobo13bobo$bo53bo41b2o22b2o13b2o$2o65b2o41bo$67bo40b3o$68b
3o36bo$66bobo2bo35b2o$64b3obo2bo$63bo5b2o$3b2o58b2o16bo11b2o$2bobo74b
3o11b2o$2bo75bo$b2o75b2o3$54b2o$54b2o2$142b2o$88b2o52b2o$51b2o35b2o26b
2o$51b2o63b2o2$137b2o$137b2o$141b2o$91b2o48b2o$71b2o19bo$4b2o65bobo15b
3o$3bobo67bo15bo45b2o$3bo29b2o38b2o60b2o$2b2o29bobo$35bo31b2o28b2o$8b
2o25b2o29bobo29bo$7bobo4b2o51bo27b3o$7bo7bo79bo$6b2o4b3o$12bo$20b2o29b
2o17b2o23bo$19bobo30bo17bo22b3o$19bo32bobo13bobo21bo$18b2o33b2o13b2o
22b2o$80bo$80b3o$83bo$82b2o$36b2o$12bo23bobo$12b3o23bo57b2o11bo$15bo
22b2o56b2o11b3o$14b2o14b2o80bo$30b2o79b2o2$135bo$133b3o$132bo9bo$132b
2o6b3o$47b2o90bo$47b2o52b2o36b2o$73b2o26b2o40b2o$73b2o68bo$141bobo$52b
2o87b2o$31b2o19b2o$31bobo14b2o$33bo14b2o48b2o$33b2o63bo20b2o23bo$99b3o
18bo22bobo$54b2o45bo15b3o8b2o14bo$54b2o61bo11bo$126b3o$15b2o75b2o32bo$
14bobo75bo$14bo78b3o47b2o$13b2o80bo13bo33bo$107b3o34b3o$106bo39bo$106b
2o$141b2o$42b2o39bo57b2o$43bo25bo13b3o$23b2o18bobo21b3o16bo$23b2o7b2o
10b2o20bo18b2o$32bo33b2o$22bo7bobo83b2o$21b3o6b2o4b2o78b2o$14b2o4bo2b
2o11bo99b2o$15bo18bobo98bo2bo3b2o$15bobo16b2o100b2o4b2o$16b2o$76b2o$
21bobobo50b2o41b2o$18bo2bobo75b2o19bo$18b2o79bobo18bobo$101bo19b2o$89b
2o10b2o$89bo$45b2o32b2o9b3o$45b2o11b2o20bo11bo$58bo18b3o$22b2o35b3o15b
o$18b2o2b2o37bo$17bobo22bo$17bo25bo$16b2o23b3o!
#C [[ MAXGRIDSIZE 9 ]]
Re: Small Four-Digit Prime Period Guns
Posted: September 7th, 2023, 3:52 pm
by dvgrn
Yup -- I suspect that several hundred guns currently in the "guntrue" collection can easily be improved, with custom work for each gun, based on various hints that are hiding in this thread ... let alone new constructions based on the many discoveries since 2019.
It's a much trickier problem to write another universal generator script like chris_c's, that can automatically generate smaller guns for all of these periods. With existing methods, you kind of end up needing a
new template for each small group of guns, which is almost as much manual work as just building each of the guns directly.
In the absence of a script like that, the four-digit prime periods are a large enough group that nobody has yet been interested in taking up the challenge of building each improvement manually and submitting it to Catagolue.
Re: Small Four-Digit Prime Period Guns
Posted: September 7th, 2023, 8:29 pm
by Jormungant
And there are the wild oddities so no scripts will find: (p1493, prime gun)
Code: Select all
x = 130, y = 114, rule = LifeHistory
14$112.A$110.3A$109.A$102.A6.2A$101.A.A3.4B$102.A.5B$103.7B$103.4B2A
4B.B$103.4B2A3B.B2A$51.2A50.11B2A$50.A.A50.9B.2B$44.2A4.A47.2B2.10B$
42.A2.A2.2A.4A34.B4.2A.2A13B$42.2A.A.A.A.A2.A32.4B2.A.A.2A7B3D3B$45.A
.ABABAB17.2A15.7BA3.2B.7BD3B$45.A.AB2AB19.A5.AB8.6B8.6BD2B.B2A$46.AB.
2B20.A.AB.ABA4B3.7B10.7B.BA.A4B$49.3B20.2AB.2A17B5.B.7B5.A.4B$49.4B6.
2A13.35B5.2A.4B$47.3B2AB6.A14.31B.4B8.4B$47.3B2AB3.BA.A15.30B2.4B8.4B
$45.10B.B2A18.28B3.4B8.4B$44.13B21.22BD3B5.4B8.3B$43.6B3D5B21.23B2.B
2A4.4B8.2B$42.15B22.21B3.BA.A4.4B8.B$41.4B2.3BD4B20.B.24B5.A5.4B$40.
4B5.6B19.2C25B5.2A5.4B$39.4B4.9B18.2C26B12.4B$38.4B5.2A4.4B.B16.3B.
23B13.4B$35.B.4B7.A5.7B15.B4.20B15.4B$34.6B5.3A5.9B18.B2.B.16B16.4B$
33.6B6.A6.11B23.15B17.4B$33.5B15.10B11.AC11.14B18.4B$19.A13.6B14.11B
2.2B6.A13.14B18.4B$19.3A10.6B15.16B2.BA.A13.15B18.4B$22.A8.4B.B15.16B
.B.B2A13.13B2A20.4B$21.2A7.4B17.21B4.CA8.14B2A21.4B$21.5B3.4B17.23B2.
B2AB8.14B23.4B$23.3B2.4B18.23B2.3B12.11B24.4B$13.2A7.9B19.24B2.B.B13.
3BD4B3.2C21.4B$13.A8.8B18.2AB.28B12.2B3D3B2.B2CB21.3B$10.2A.A.B3.10B
18.A.AB.28B13.D2B2D2B3.2B23.2B$10.A2.3AB.2B2A2BD4B18.A6.28B11.8B.B.2B
23.B$11.2A2.BA3B2A2BDBD2B17.2A7.27B3.2E5.11BDBCB$13.4A7B2D3B26.8B2A
16B5.E6.11BC.C$13.A.2B3.7B.B2A26.6B2A17B4.E.EB2.12B.C$14.3AB2.7B.BA.A
26.23B6.ECB2.10B4.3C$17.A4.4B5.A27.18B.B10.12B7.C$12.5A5.4B5.2A28.8B
2A7B11.12B$12.A10.4B35.7B2A8B10.10B.BCE$14.A9.4B35.17B10.8B2.BE.E$13.
2A10.4B36.16B8.8B6.E$26.4B36.16B8.8B5.2E$27.4B37.15B8.7B$28.4B37.B.B
3.8B5.11B$29.4B37.3B3.10B.12B$30.4B35.B2AB4.22B.B$31.4B35.2A6.24B$32.
4B43.9B3D13B$33.4B33.4C6.9BD14B$34.4B32.C3.C6.8B3D11BCE$35.4B22.2E10.
2C6.20B.BCE$36.4B22.E10.5B2.19B4.B$37.4B21.E.EB9.25B12.2E$38.4B10.A
10.ECB.3B4.25B8.B3.E.E$39.4B7.3A12.7B.9BC16B4.6B.B2C$40.4B5.A15.17B2C
16B2.8B.B$41.4B4.2A15.17B2C17B.6B.2B$34.2A6.9B14.17BAC29B$35.A7.6B14.
13BA5BD23B2C6B$35.A.2A5.6B3.B2.2B2.16BA2B.25BC2BC5B$36.A2.A4.19BD15B
2.23B.B2C5B$37.2AB3.6BD13BDBD4B.7B3.24B.7B$38.9BDBD2B2A9B3D4B2.7B2.
24B4.3B$39.9B2D2B2A11BD4B4.2B2C4.23B$40.29B3.4B2C4.22B$40.17B.4B10.EC
8.5B.16B$41.15B3.2B12.E6.5B3.16B$41.15B3.3B8.3E7.ECB5.14B$42.13B5.A2B
.2A4.E10.E6.14B$44.13B2.A.A2B.A12.3E8.4B4.5B$43.8B4.2A.A.AB2.A13.E11.
4B3.3B$43.6B6.2ABA4.A25.4B$43.5B8.B2.5A.A22.B2C2B$43.B.B5.2A.A.2A.A4.
A.A22.2E$44.3B4.A.2A.A2.A.2A2.A$43.B2AB11.2A.A.2A$44.2A!
That thing is 1461 + 16X, so it is going to hit a few primes, though probably need a better 2b-to-g for guarantied awesomeness.
Addendum:
And actually, this thing could be combined with the other trick I posted earlier that work for larger primes, instead of having to merge back a glider into the "main track", with an output glider what went through many period multiplier *and* suppress the glider already there, now one only needs to clear either the hive or the block, so the number of "short" and "long" loops are no longer equal (and no longer a multiple of S+L). Well, I will let someone try that one out, if they dare.
Re: Small Four-Digit Prime Period Guns
Posted: September 7th, 2023, 9:17 pm
by confocaloid
Jormungant wrote: September 7th, 2023, 8:29 pm
And there are the wild oddities so no scripts will find: (p1493, prime gun)
That thing is 1461 + 16X, so it is going to hit a few primes, though probably need a better 2b-to-g for guarantied awesomeness.
Inserting a
8-lane glider shifter gives 1609 + 16k:
Code: Select all
x = 109, y = 88, rule = LifeHistory
105.A$103.3A$37.2A63.A$36.A.A56.A6.2A$30.2A4.A57.A.A3.4B$28.A2.A2.2A.
4A54.A.5B$28.2A.A.A.A.A2.A55.7B$31.A.ABABAB57.4B2A4B.B$31.A.AB2AB58.
4B2A3B.B2A$32.AB.2B59.11B2A$35.3B58.9B.2B$35.4B6.2A44.2B2.10B$33.6B6.
A36.B4.2A.2A13B$33.6B3.BA.A34.4B2.A.A.2A13B$31.5BA4B.B2A18.2A15.2B2A
3BA3.2B.11B$30.5BABA5B21.A5.AB8.BA2BAB8.9B.B2A$29.5B2AB2A4B21.A.AB.AB
A4B3.2BA2BAB10.7B.BA.A$28.6BA2BA5B22.2AB.2A10BA6B5.B.7B5.A$27.4B2.2B
2A4B26.13BA2BA18B5.2A$26.4B5.6B26.12BA18B.4B$25.4B4.9B26.15B2A13B2.4B
$24.4B5.2A4.4B27.13BA14B3.4B$9.A13.4B7.A5.4B27.9BABA14B5.4B$9.3A10.4B
5.3A7.4B27.8B2A12B2.B2A4.4B$12.A8.4B6.A10.4B26.9B2A10B3.BA.A4.4B$11.
2A7.4B19.4B21.B.24B5.A5.3BA$11.5B3.4B21.4B19.2A25B5.2A5.ABA$13.3B2.4B
23.4B18.2A26B12.2A$3.2A7.9B25.4B18.3B.23B$3.A8.8B27.4B.B16.B4.20B$2A.
A.B3.10B29.7B23.16B$A2.3AB.2B2A7B28.9B23.15B$.2A2.BA3B2A7B27.10B11.2A
11.14B$3.4A12B27.11B2.2B6.A13.14B$3.A.2B3.7B.B2A25.16B2.BA.A13.15B$4.
3AB2.7B.BA.A23.16B.B.B2A13.13B2A$7.A4.4B5.A22.21B4.2A8.14B2A$2.5A5.4B
5.2A20.23B2.B2AB8.14B$2.A10.4B11.2E.E11.23B2.3B12.11B$4.A9.4B9.E.2E.E
3.2E5.24B2.B.B13.8B3.2A$3.2A10.4B7.E5.E3.E4.2AB.28B12.8B2.B2AB$16.4B
7.3EBE.2E.E3.A.AB.28B13.7B3.2B$17.4B8.E.E.E.E4.A6.28B11.8B3.2B$18.4B
7.2BE3B4.2A7.27B3.2A5.10B.2BAB$19.4B7.2E2B14.8B2A16B5.A6.11BA.A$20.4B
6.5B15.6B2A17B4.A.AB2.12B.A$21.4B5.5B6.2E8.23B6.2AB2.10B4.3A$22.4B3.
7B5.E.E8.17B2.B10.12B7.A$23.4B.8B7.E2.2E6.8B2A6B12.12B$24.12B6.2E.E.E
7.7B2A7B11.10B.B2A$25.6B2E3B4.4B.E10.16B11.8B2.BA.A$26.5B2E6B.2B4E12.
15B9.8B6.A$20.2E3.17BEB2.2E11.15B9.8B5.2A$19.E2.E2.6B2E9B.3E2.E12.14B
9.7B$19.3E2.E6B2E11B.E.2E13.B.B3.8B5.11B$22.2EBE17B2.E17.3B3.10B.12B$
21.E2.EB.14B3.2E16.B2AB4.22B.B$20.E.2E2B2.13B22.2A6.24B$20.E.B.B3.13B
31.25B$17.2E.E.2EB2.12B24.4A6.24B$17.2E.E.BEB.5B6.2B24.A3.A6.22B2A$
21.2E4.5B22.2A10.2A6.20B.B2A$25.8B22.A10.5B2.19B4.B$25.2A3.4B21.A.AB
9.25B12.2A$26.A4.4B10.A10.2AB.3B4.25B8.B3.A.A$23.3A6.4B7.3A12.7B.26B
4.6B.B2A$23.A9.4B5.A15.35B2.8B.B$34.4B4.2A15.36B.6B.2B$27.2A6.9B14.
48B$28.A7.6B14.43B2A6B$28.A.2A5.6B3.B2.2B2.19B.25BA2BA5B$29.A2.A4.35B
2.23B.B2A5B$30.2AB3.27B.7B3.24B.7B$31.14B2A16B2.7B2.24B4.3B$32.13B2A
16B4.2B2A4.23B$33.29B3.4B2A4.22B$33.17B.4B10.2A8.5B.16B$34.15B3.2B12.
A6.5B3.16B$34.15B3.3B8.3A7.2AB5.14B$35.13B5.A2B.2A4.A10.A6.14B$37.13B
2.A.A2B.A12.3A8.4B4.5B$36.8B4.2A.A.AB2.A13.A11.4B3.3B$36.6B6.2ABA4.A
25.4B$36.5B8.B2.5A.A22.B2A2B$36.B.B5.2A.A.2A.A4.A.A22.2A$37.3B4.A.2A.
A2.A.2A2.A$36.B2AB11.2A.A.2A$37.2A!
#C [[ MAXGRIDSIZE 9 ]]
Re: Small Four-Digit Prime Period Guns
Posted: September 7th, 2023, 9:23 pm
by EvinZL
Jormungant wrote: September 7th, 2023, 8:29 pm
And there are the wild oddities so no scripts will find: (p1493, prime gun)
That thing is 1461 + 16X, so it is going to hit a few primes, though probably need a better 2b-to-g for guarantied awesomeness.
Slightly smaller: (8690 vs 9328)
Code: Select all
x = 110, y = 79, rule = LifeHistory
41.2A34.B3A$40.A.A35.A3B$34.2A4.A38.A3B$32.A2.A2.2A.4A35.4B$32.2A.A.A
.A.A2.A36.4B$35.A.ABABAB39.4B$35.A.AB2AB41.4B$36.AB.2B43.4B$39.3B43.
4B$39.4B6.2A35.4B$37.3B2AB6.A37.4B$37.3B2AB3.BA.A38.4B$35.10B.B2A40.
4B$34.13B43.4B$33.14B44.4B$32.15B45.4B$31.4B2.8B48.4B$30.4B5.6B49.4B
4.2A$29.4B4.9B49.4B3.A.A$28.4B5.2A4.4B49.4B4.A$27.4B7.A5.4B.B47.4B2.
2A.2A.A$26.4B5.3A5.B.7B46.7B.A.2A$25.4B6.A6.11B44.6B3.A$24.4B15.10B
11.2A22.2A6.7B2.2A$9.A13.4B16.11B2.2B6.A24.A5.BA6B$9.3A10.4B17.16B2.B
A.A24.A.AB2.ABA5B$12.A8.4B17.16B.B.B2A26.2AB.2B2A5B$11.2A7.4B17.21B4.
2A24.12B$11.5B3.4B17.23B2.B2AB23.12B$13.3B2.4B18.23B2.3B11.A9.A2.12B$
3.2A7.9B19.24B2.B.B10.3A5.3A3.2A7B.B2A$3.A8.8B18.2AB.28B12.A3.A5.B2A
6B2.BA.A$2A.A.B3.10B18.A.AB.28B11.2A.B.2A3.9B6.A$A2.3AB.2B2A7B18.A6.
14B3A11B4.A4.7B2.4B2.5B5.2A$.2A2.BA3B2A7B17.2A7.13BA13B4.3A4.3B3.4B4.
B.BAB$3.4A12B26.8B2A4BA11B8.A2.10B4.2A.A.A$3.A.2B3.7B.B2A26.6B2A17B6.
2A2.9B3.A2.A.2A$4.3AB2.7B.BA.A26.23B7.3B.9B3.2A2.A$7.A4.4B5.A27.17B2.
B11.11B8.A.A$2.5A5.4B5.2A28.16B12.12B9.2A$2.A10.4B35.16B11.10B.B2A$4.
A9.4B35.16B11.8B2.BA.A$3.2A10.4B36.15B9.8B6.A$16.4B36.15B9.8B5.2A$17.
4B37.14B9.7B$18.4B37.B.B3.8B5.11B$19.4B37.3B3.10B.12B$20.4B35.B2AB4.
22B.B$21.4B35.2A6.24B$22.4B43.9B3D13B$23.4B33.4A6.9BD14B$24.4B32.A3.A
6.8B3D11B2A$25.4B22.2A10.2A6.20B.B2A$26.4B22.A10.5B2.19B4.B$27.4B21.A
.AB9.25B12.2A$28.4B10.A10.2AB.3B4.25B8.B3.A.A$29.4B7.3A12.7B.26B4.6B.
B2A$30.4B5.A15.35B2.8B.B$31.4B4.2A15.36B.6B.2B$24.2A6.9B14.48B$25.A7.
6B14.43B2A6B$25.A.2A5.6B3.B2.2B2.19B.25BA2BA5B$26.A2.A4.35B2.23B.B2A
5B$27.2AB3.27B.7B3.24B.7B$28.14B2A16B2.7B2.24B4.3B$29.13B2A16B4.2B2A
4.23B$30.29B3.4B2A4.22B$30.17B.4B10.2A8.5B.16B$31.15B3.2B12.A6.5B3.
16B$31.15B3.3B8.3A7.2AB5.14B$32.13B5.A2B.2A4.A10.A6.14B$34.13B2.A.A2B
.A12.3A8.4B4.5B$33.8B4.2A.A.AB2.A13.A11.4B3.3B$33.6B6.2ABA4.A25.4B$
33.5B8.B2.5A.A22.B2A2B$33.B.B5.2A.A.2A.A4.A.A22.2A$34.3B4.A.2A.A2.A.
2A2.A$33.B2AB11.2A.A.2A$34.2A!
Re: Small Four-Digit Prime Period Guns
Posted: September 8th, 2023, 12:09 am
by dvgrn
EvinZL wrote: September 7th, 2023, 9:23 pm
Jormungant wrote: September 7th, 2023, 8:29 pm
And there are the wild oddities so no scripts will find: (p1493, prime gun)
...
That thing is 1461 + 16X, so it is going to hit a few primes, though probably need a better 2b-to-g for guarantied awesomeness.
Slightly smaller: (8690 vs 9328)...
Code: Select all
x = 110, y = 79, rule = LifeHistory...
104x82 = 8528:
Code: Select all
x = 104, y = 82, rule = LifeHistory
67.2A8.A6.3A$66.B2AB5.3A5.3BA$67.3B4.A7.3BA$41.2A16.2A5.B.B5.2A5.4B$
40.A.A17.A5.10B4.4B$34.2A4.A19.A.AB2.8B5.4B$32.A2.A2.2A.4A16.2AB.11B
2.4B$32.2A.A.A.A.A2.A18.3B2A13B$35.A.ABABAB20.3B2A12B$35.A.AB2AB22.
15B$36.AB.2B23.14B$39.3B22.14B$39.4B6.2A12.A.14B$37.3B2AB6.A12.A.A5.
5B.4B$37.3B2AB3.BA.A12.2A7.4B2.4B$35.10B.B2A22.2B5.4B$34.13B23.4B5.4B
$33.14B23.B2AB6.4B$32.15B24.2A8.4B$31.4B2.8B30.2A5.4B$30.4B5.6B29.A2.
A3.6B$29.4B4.9B28.A.A.B.8B$28.4B5.2A4.3BA25.2A2.2A10B$27.4B7.A5.B2AB.
B21.A2.2A2.11B$26.4B5.3A7.ABA4B19.2A3.2A11B$25.4B6.A8.9B23.A2.10B$24.
4B15.10B11.2A11.A2.9B$9.A13.4B16.11B2.2B6.A9.3A3.14B$9.3A10.4B17.16B
2.BA.A9.A7.13B$12.A8.4B17.16B.B.B2A17.14B$11.2A7.4B17.21B4.2A13.14B$
11.5B3.4B17.23B2.B2AB13.13B$13.3B2.4B18.23B2.3B15.11B$3.2A7.9B19.24B
2.B.B12.14B$3.A8.8B18.2AB.28B10.11B2A2B$2A.A.B3.10B18.A.AB.28B10.11B
2AB$A2.3AB.2B2A7B18.A6.28B8.14B$.2A2.BA3B2A7B17.2A7.27B3.2A4.8B.4B$3.
4A12B26.8B2A16B5.A4.8B2.2B$3.A.2B3.7B.B2A26.6B2A17B4.A.AB2.8B$4.3AB2.
7B.BA.A26.23B6.2AB2.9B$7.A4.4B5.A27.17B2.B10.12B$2.5A5.4B5.2A28.16B
12.12B$2.A10.4B35.16B11.10B.B2A$4.A9.4B35.16B11.8B2.BA.A$3.2A10.4B36.
15B9.8B6.A$16.4B36.15B9.8B5.2A$17.4B37.14B9.7B$18.4B37.B.B3.8B5.11B$
19.4B37.3B3.10B.12B$20.4B35.B2AB4.22B.B$21.4B35.2A6.24B$22.4B43.25B$
23.4B33.4A6.24B$24.4B32.A3.A6.22B2A$25.4B22.2A10.2A6.20B.B2A$26.4B22.
A10.5B2.19B4.B$27.4B21.A.AB9.25B12.2A$28.4B10.A10.2AB.3B4.25B8.B3.A.A
$29.4B7.3A12.7B.26B4.6B.B2A$30.4B5.A15.35B2.8B.B$31.4B4.2A15.36B.6B.
2B$24.2A6.9B14.48B$25.A7.6B14.43B2A6B$25.A.2A5.6B3.B2.2B2.19B.25BA2BA
5B$26.A2.A4.35B2.23B.B2A5B$27.2AB3.27B.7B3.24B.7B$28.14B2A16B2.7B2.
24B4.3B$29.13B2A16B4.2B2A4.23B$30.29B3.4B2A4.22B$30.17B.4B10.2A8.5B.
16B$31.15B3.2B12.A6.5B3.16B$31.15B3.3B8.3A7.2AB5.14B$32.13B5.A2B.2A4.
A10.A6.14B$34.13B2.A.A2B.A12.3A8.4B4.5B$33.8B4.2A.A.AB2.A13.A11.4B3.
3B$33.6B6.2ABA4.A25.4B$33.5B8.B2.5A.A22.B2A2B$33.B.B5.2A.A.2A.A4.A.A
22.2A$34.3B4.A.2A.A2.A.2A2.A$33.B2AB11.2A.A.2A$34.2A!
Re: Small Four-Digit Prime Period Guns
Posted: September 8th, 2023, 3:50 am
by Jormungant
I just though of a simpler strategy to get prime period, but due to bad luck, it will always be an even period:
Code: Select all
x = 121, y = 93, rule = LifeHistory
35.4B$36.4B$37.4B$38.4B$39.4B46.2A$40.4B46.A$41.4B44.A$42.4B43.2A11.A
$43.4B40.2A2.B8.3A$44.4B38.A2.2AB7.A$45.4B38.A.A.2B6.2A$29.2A15.4B36.
2A.A.AB.2BA4B3.2A$25.2A.A.A9.A6.4B39.2A3BABAB5.A$26.A.A9.3AB6.4B39.3B
A2BA2B.BA.A$26.A.2A7.A.4B6.4B40.2B2A3B.B2A$23.2A.A.4B5.2A.4B6.4B10.2B
27.9B$23.A2.4A4BA4B2.B2AB6.4B8.2AB27.9B$24.2A2.BA3BABAB5.ABAB6.4B5.BA
2BAB4.B21.9B2.2A$26.3A.2BA2BA2B.BA.AB3A6.4B4.BA2BA3B.B2A19.3D6B3.A$
26.A4.2B2A3B.B2A2.3BA6.4B4.B2A6B2A18.3BD6B4.A$24.A.A4.9B5.B2AB6.4B3.
7B.2B18.D2BD7B3.2A$24.2A5.9B6.4B6.4B3.6B20.D11B2A$31.9B7.4B6.4B2.5B
20.B3D9B2AB2A$30.9B2.B2.3B.4B6.11B8.2A8.4B3.5B3.B.A.A$29.40B7.B2A2B5.
4B2.4B3.4A3.A$28.14B2A11BC14B7.4B2.6B3.2A5.A3.3A$27.15B2A9B3C13B7.12B
5.A8.A$26.27BCBC4B.7B7.12B3.3A9.2A$25.4B2.22BC15B5.13B3.A$24.4B6.B.B.
5B3.2B2.19B4.15B$23.4B6.2BA2B.B13.17B3.15B$22.4B7.BABAB17.15B.17B$21.
4B3.2A3.BABAB3.2A13.22BD9B2A6.2A$20.4B4.A.BA3BA3BAB.A13.8B.13BDBD5B.A
2BA2.2A2.A$7.2A10.4B6.3AB.3B.B3A12.8B3.2B2A9B3D5B.ABAB3.A.A$8.A9.4B9.
3B.B.3B14.2A3.B5.2B2A11BD5B2.A4B.A.2A$6.A10.4B3.2A.7AB.B7A11.A10.18B
6.B2A.A$6.5A5.4B5.A.A2.B2.BA.AB2.B2.A8.3A12.B.3B.8B9.BAB.A$11.A4.4B5.
A2.A.A.2A3.2A.A.A9.A19.8B8.A4.A$8.3AB2.7B.BA.A3.2A.A5.A.2A29.4B13.5A$
7.A.2B3.7B.B2A9.A.A33.4B$7.4A7B2D3B10.2A.2A31.4B14.A.2A$5.2A2.BA3B2A
2BDBD2B45.4B15.2A.A$4.A2.3AB.2B2A2BD4B44.4B$4.2A.A.B3.10B43.4B$7.A8.
8B41.4B$7.2A7.9B39.4B$17.3B2.4B37.4B$15.5B3.4B35.4B$15.2A7.4B33.4B$
16.A8.4B31.4B$13.3A10.4B25.2B2.4B$13.A13.4B27.4B$28.4B25.4B$29.4B23.
4B$30.4B21.4B$31.4B19.4B$32.4B6.A10.4B$33.4B5.3A7.4B$34.4B7.A5.4B$35.
4B5.2A4.4B$36.4B4.9B$37.4B5.6B$38.4B2.3BD4B$39.7BD7B$40.6B3D5B$41.6B
2.5B$42.10B.B2A$44.3B2AB3.BA.A$44.3B2AB6.A$46.4B6.2A$46.3B$43.AB.2B$
42.A.AB2AB$42.A.ABABAB$39.2A.A.A.A.A2.A$39.A2.A2.2A.4A$41.2A4.A$47.A.
A$48.2A!
The only way this still works for prime, is to put 3 gliders on the track and use tremi snarks, but wont break any record. But for period 2*p (p prime), this might beat some n<1000 guns (currently the period is 1114, but I assume it can be made smaller by getting a glider by some other means.
addendum:
Another thing of note, one could work with:
Code: Select all
x = 159, y = 111, rule = LifeHistory
89.4B$90.4B$91.4B$65.2A25.4B$61.2A.A.A9.A16.4B$62.A.A9.3AB16.4B$62.A.
2A7.A.4B16.4B$59.2A.A.4B5.2A.4B16.4B$59.A2.4A4BA4B2.B2AB16.4B$60.2A2.
BA3BABAB5.ABAB16.4B$62.3A.2BA2BA2B.BA.AB3A16.4B$62.A4.2B2A3B.B2A2.3BA
16.4B$60.A.A4.9B5.B2AB11.A4.4B$60.2A5.9B6.4B10.3A3.4B$67.9B7.4B12.A3.
4B12.A$66.9B2.B2.3B.4B10.2A4.4B11.3A5.2A$65.30B3.5B2.4B13.A3.B2AB$64.
14B2A11BD4B4.5B.4B11.2A4.3B$63.15B2A9B3D4B2.7B2.4B10.5B2.B2.2B2.6B$
62.27BDBD4B.9B2.4B11.15BD3B2.B$61.4B2.22BD15B4.4B9.2A14BDBDB.B2A$60.
4B6.B.B.5B3.2B2.20B4.4B8.2A3B2A9B3D3B2A$59.4B6.2BA2B.B13.18B4.4B8.B.
2B2A11BDB.2B$58.4B7.BABAB17.17B4.4B9.17B$57.4B3.2A3.BABAB3.2A13.17B4.
4B10.7B$56.4B4.A.BA3BA3BAB.A13.18B4.4B9.6B$55.4B6.3AB.3B.B3A12.8B.12B
4.4B7.8B$54.4B9.3B.B.3B14.2A3.B3.13B4.4B7.6B$53.4B6.7AB.B7A11.A7.14B
4.4B6.6B$52.4B7.A2.B2.BA.AB2.B2.A8.3A8.15B4.4B6.6B$51.4B9.A.A.2A3.2A.
A.A9.A10.16B4.4B5.7B$50.4B11.2A.A5.A.2A19.19B4.4B4.6B$49.4B17.A.A22.
17B.4B4.13B$48.4B17.2A.2A20.2A38B$47.4B42.A.AB.22BD13B$46.4B43.A4.20B
3D13B$45.4B43.2A3.21BDBD14B$44.4B48.22BD18B$43.4B48.14B2.2B2.22B$42.
4B48.4B2.8B10.20B$41.4B29.2A17.B2AB4.7B12.18B$40.4B26.2A.A.A9.A6.3BA
6.5B14.17B$39.4B28.A.A9.3AB4.B3A5.6B14.19B$38.4B29.A.2A7.A.4B2.2BAB6.
2A18.21B$37.4B27.2A.A.4B5.2A.8B8.A13.A4.21B$36.4B28.A2.4A4BA4B2.B2A3B
6.3A12.3A6.20B$35.4B30.2A2.BA3BABAB5.ABAB7.A13.A8.20B$34.4B33.3A.2BA
2BA2B.BA.AB3A20.2A7.19B$33.4B34.A4.2B2A3B.B2A2.3BA17.4B8.18B$32.4B33.
A.A4.9B5.B2AB15.3B10.17B$31.4B34.2A5.9B6.4B14.4B10.16B$16.4B10.4B8.4B
30.9B7.4B12.5B11.14B$17.4B8.4B9.3B30.9B2.B2.3B.4B11.6B10.13B$16.2A4B
6.4B10.2B30.30B2.8B9.11B$17.A.4B4.4B11.B30.14B2A11BD14B9.9B$15.A4.4B
2.4B42.15B2A9B3D13B11.9B$15.5A.8B5.2A35.27BDBD4B.7B12.10B$20.A.7B5.A
35.4B2.22BD15B12.8BA$17.3AB2.7B.BA.A34.4B6.B.B.5B3.2B2.19B11.8BABA$
16.A.2B3.7B.B2A34.4B6.2BA2B.B13.17B8.10BABA$16.4A7B2D3B35.4B7.BABAB
17.15B.2B2.14BAB$14.2A2.BA3B2A2BDBD2B34.4B3.2A3.BABAB3.2A13.34B$13.A
2.3AB.2B2A2BD6B31.4B4.A.BA3BA3BAB.A13.8B.25B$13.2A.A.B3.14B28.4B6.3AB
.3B.B3A12.8B3.2B2A19B$16.A8.10B28.4B9.3B.B.3B14.2A3.B5.2B2A19B$16.2A
7.10B9.A17.4B6.7AB.B7A11.A10.18B2.B$26.10B6.3A16.4B7.A2.B2.BA.AB2.B2.
A8.3A12.B.3B.4B$24.5B.6B5.A18.4B9.A.A.2A3.2A.A.A9.A19.4B$24.2A4.10B.
2A16.4B11.2A.A5.A.2A29.4B$25.A4.13B15.4B17.A.A33.4B$22.3A5.11B16.4B
17.2A.2A9.2A.2A17.4B$22.A7.3B2D6B15.4B33.A.A17.4B$35.7B13.4B29.2A.A5.
A.2A11.4B$36.6B12.4B19.A9.A.A.2A3.2A.A.A9.4B$36.7B10.D3B.3B.B12.3A8.A
2.B2.BA.AB2.B2.A7.4B$36.8B2.18B10.A11.7AB.B7A6.4B$36.13BD11B2A2B5.B3.
2A14.3B.B.3B9.4B$36.13B3D9B2A2B3.8B12.3AB.3B.B3A6.4B$35.4B2D8BDBD13B.
8B13.A.BA3BA3BAB.A4.4B$36.15BD22B13.2A3.BABAB3.2A3.4B$35.20B2.2B.15B
17.BABAB7.4B$24.D9.18B8.17B13.B.2BA2B6.4B$32.6B2D10B11.19B2.2B3.5B.B.
B6.4B$32.6B2D9B12.15BC22B2.4B$33.17B12.7B.4BCBC27B$34.16B11.13B3C9B2A
15B$35.7B3.3B.B2A8.14BC11B2A14B$36.6B4.B2.BA.A8.8B2.30B$37.4B11.A8.6B
11.4B.3B2.B2.9B$35.5B12.2A8.5B12.4B7.9B$35.2A25.4B14.4B6.9B5.2A$36.A
26.3B15.B2AB5.9B4.A.A$33.3A25.4B17.A3B2.2AB.3B2A2B4.A$33.A27.2A20.3AB
A.AB.2BA2BA2B.3A$62.A21.BABA5.BABA3BAB2.2A$59.3A23.B2AB2.4BA4B4A2.A$
59.A26.4B.2A5.4B.A.2A$87.4B.A7.2A.A$88.B3A9.A.A$89.A9.A.A.2A$99.2A!
Well one would need to have the inner loop be slower than the outer loop, otherwise the signal on the inner loop never change phase, anyways, just felt that this could be interesting.
Re: Small Four-Digit Prime Period Guns
Posted: September 8th, 2023, 8:41 am
by dvgrn
Jormungant wrote: September 8th, 2023, 3:50 amAnother thing of note, one could work with:
Code: Select all
x = 159, y = 111, rule = LifeHistory
89.4B$90.4B$91.4B$65.2A25.4B$61.2A.A.A9.A16.4B$62.A.A9.3AB16.4B$62.A.
2A7.A.4B16.4B$59.2A.A.4B5.2A.4B16.4B$59.A2.4A4BA4B2.B2AB16.4B$60.2A2.
BA3BABAB5.ABAB16.4B$62.3A.2BA2BA2B.BA.AB3A16.4B$62.A4.2B2A3B.B2A2.3BA
16.4B$60.A.A4.9B5.B2AB11.A4.4B$60.2A5.9B6.4B10.3A3.4B$67.9B7.4B12.A3.
4B12.A$66.9B2.B2.3B.4B10.2A4.4B11.3A5.2A$65.30B3.5B2.4B13.A3.B2AB$64.
14B2A11BD4B4.5B.4B11.2A4.3B$63.15B2A9B3D4B2.7B2.4B10.5B2.B2.2B2.6B$
62.27BDBD4B.9B2.4B11.15BD3B2.B$61.4B2.22BD15B4.4B9.2A14BDBDB.B2A$60.
4B6.B.B.5B3.2B2.20B4.4B8.2A3B2A9B3D3B2A$59.4B6.2BA2B.B13.18B4.4B8.B.
2B2A11BDB.2B$58.4B7.BABAB17.17B4.4B9.17B$57.4B3.2A3.BABAB3.2A13.17B4.
4B10.7B$56.4B4.A.BA3BA3BAB.A13.18B4.4B9.6B$55.4B6.3AB.3B.B3A12.8B.12B
4.4B7.8B$54.4B9.3B.B.3B14.2A3.B3.13B4.4B7.6B$53.4B6.7AB.B7A11.A7.14B
4.4B6.6B$52.4B7.A2.B2.BA.AB2.B2.A8.3A8.15B4.4B6.6B$51.4B9.A.A.2A3.2A.
A.A9.A10.16B4.4B5.7B$50.4B11.2A.A5.A.2A19.19B4.4B4.6B$49.4B17.A.A22.
17B.4B4.13B$48.4B17.2A.2A20.2A38B$47.4B42.A.AB.22BD13B$46.4B43.A4.20B
3D13B$45.4B43.2A3.21BDBD14B$44.4B48.22BD18B$43.4B48.14B2.2B2.22B$42.
4B48.4B2.8B10.20B$41.4B29.2A17.B2AB4.7B12.18B$40.4B26.2A.A.A9.A6.3BA
6.5B14.17B$39.4B28.A.A9.3AB4.B3A5.6B14.19B$38.4B29.A.2A7.A.4B2.2BAB6.
2A18.21B$37.4B27.2A.A.4B5.2A.8B8.A13.A4.21B$36.4B28.A2.4A4BA4B2.B2A3B
6.3A12.3A6.20B$35.4B30.2A2.BA3BABAB5.ABAB7.A13.A8.20B$34.4B33.3A.2BA
2BA2B.BA.AB3A20.2A7.19B$33.4B34.A4.2B2A3B.B2A2.3BA17.4B8.18B$32.4B33.
A.A4.9B5.B2AB15.3B10.17B$31.4B34.2A5.9B6.4B14.4B10.16B$16.4B10.4B8.4B
30.9B7.4B12.5B11.14B$17.4B8.4B9.3B30.9B2.B2.3B.4B11.6B10.13B$16.2A4B
6.4B10.2B30.30B2.8B9.11B$17.A.4B4.4B11.B30.14B2A11BD14B9.9B$15.A4.4B
2.4B42.15B2A9B3D13B11.9B$15.5A.8B5.2A35.27BDBD4B.7B12.10B$20.A.7B5.A
35.4B2.22BD15B12.8BA$17.3AB2.7B.BA.A34.4B6.B.B.5B3.2B2.19B11.8BABA$
16.A.2B3.7B.B2A34.4B6.2BA2B.B13.17B8.10BABA$16.4A7B2D3B35.4B7.BABAB
17.15B.2B2.14BAB$14.2A2.BA3B2A2BDBD2B34.4B3.2A3.BABAB3.2A13.34B$13.A
2.3AB.2B2A2BD6B31.4B4.A.BA3BA3BAB.A13.8B.25B$13.2A.A.B3.14B28.4B6.3AB
.3B.B3A12.8B3.2B2A19B$16.A8.10B28.4B9.3B.B.3B14.2A3.B5.2B2A19B$16.2A
7.10B9.A17.4B6.7AB.B7A11.A10.18B2.B$26.10B6.3A16.4B7.A2.B2.BA.AB2.B2.
A8.3A12.B.3B.4B$24.5B.6B5.A18.4B9.A.A.2A3.2A.A.A9.A19.4B$24.2A4.10B.
2A16.4B11.2A.A5.A.2A29.4B$25.A4.13B15.4B17.A.A33.4B$22.3A5.11B16.4B
17.2A.2A9.2A.2A17.4B$22.A7.3B2D6B15.4B33.A.A17.4B$35.7B13.4B29.2A.A5.
A.2A11.4B$36.6B12.4B19.A9.A.A.2A3.2A.A.A9.4B$36.7B10.D3B.3B.B12.3A8.A
2.B2.BA.AB2.B2.A7.4B$36.8B2.18B10.A11.7AB.B7A6.4B$36.13BD11B2A2B5.B3.
2A14.3B.B.3B9.4B$36.13B3D9B2A2B3.8B12.3AB.3B.B3A6.4B$35.4B2D8BDBD13B.
8B13.A.BA3BA3BAB.A4.4B$36.15BD22B13.2A3.BABAB3.2A3.4B$35.20B2.2B.15B
17.BABAB7.4B$24.D9.18B8.17B13.B.2BA2B6.4B$32.6B2D10B11.19B2.2B3.5B.B.
B6.4B$32.6B2D9B12.15BC22B2.4B$33.17B12.7B.4BCBC27B$34.16B11.13B3C9B2A
15B$35.7B3.3B.B2A8.14BC11B2A14B$36.6B4.B2.BA.A8.8B2.30B$37.4B11.A8.6B
11.4B.3B2.B2.9B$35.5B12.2A8.5B12.4B7.9B$35.2A25.4B14.4B6.9B5.2A$36.A
26.3B15.B2AB5.9B4.A.A$33.3A25.4B17.A3B2.2AB.3B2A2B4.A$33.A27.2A20.3AB
A.AB.2BA2BA2B.3A$62.A21.BABA5.BABA3BAB2.2A$59.3A23.B2AB2.4BA4B4A2.A$
59.A26.4B.2A5.4B.A.2A$87.4B.A7.2A.A$88.B3A9.A.A$89.A9.A.A.2A$99.2A!
Well one would need to have the inner loop be slower than the outer loop, otherwise the signal on the inner loop never change phase, anyways, just felt that this could be interesting.
That looks like a variant of what I called the "2-out-of-3 mechanism" back at
the beginning of this thread, updated for modern times with speed tunnels and a better way of getting a one-out-of-three signal out. Let's see, what other new technology is there that can be mixed in here?
Jormungant wrote: September 8th, 2023, 3:50 amI just though[t] of a simpler strategy to get prime period, but due to bad luck, it will always be an even period...
The only way this still works for prime, is to put 3 gliders on the track and use tremi snarks, but wont break any record. But for period 2*p (p prime), this might beat some n<1000 guns (currently the period is 1114, but I assume it can be made smaller by getting a glider by some other means.
The new 8-lane biblock shifter makes this p1118+8N instead of 1114+8N -- I didn't remember the details and was hoping the shift would produce odd numbers, but an easy +4 adjustment is nothing to sneeze at.
Code: Select all
x = 103, y = 76, rule = LifeHistory
31.4B$32.4B$33.4B$34.4B$35.4B46.2A$36.4B46.A$37.4B44.A$38.4B43.2A11.A
$39.4B40.2A2.B8.3A$40.4B38.A2.2AB7.A$41.4B38.A.A.2B6.2A$25.2A15.4B36.
2A.A.AB.2BA4B3.2A$21.2A.A.A9.A6.4B39.2A3BABAB5.A$22.A.A9.3AB6.4B39.3B
A2BA2B.BA.A$22.A.2A7.A.4B6.4B40.2B2A3B.B2A$19.2A.A.4B5.2A.4B6.4B10.2B
27.9B$19.A2.4A4BA4B2.B2AB6.4B8.2AB27.9B$20.2A2.BA3BABAB5.ABAB6.4B5.BA
2BAB4.B21.9B2.2A$22.3A.2BA2BA2B.BA.AB3A6.4B4.BA2BA3B.B2A19.3D6B3.A$
22.A4.2B2A3B.B2A2.3BA6.4B4.B2A6B2A18.3BD6B4.A$20.A.A4.9B5.B2AB6.4B3.
7B.2B18.D2BD7B3.2A$20.2A5.9B6.4B6.4B3.6B20.D11B2A$27.9B7.4B6.4B2.5B
20.B3D9B2AB2A$26.9B2.B2.3B.4B6.11B8.2A8.4B3.5B3.B.A.A$25.40B7.B2A2B5.
4B2.4B3.4A3.A$24.14B2A11BC14B7.4B2.6B3.2A5.A3.3A$23.15B2A9B3C13B7.12B
5.A8.A$22.27BCBC4B.7B7.12B3.3A9.2A$21.4B2.22BC15B5.13B3.A$20.4B6.B.B.
5B3.2B2.19B4.15B$19.4B6.2BA2B.B13.17B3.15B$18.4B7.BABAB17.15B.17B$17.
4B3.2A3.BABAB3.2A13.22BD9B2A6.2A$16.4B4.A.BA3BA3BAB.A13.8B.13BDBD5B.A
2BA2.2A2.A$3.2A10.4B6.3AB.3B.B3A12.8B3.2B2A9B3D5B.ABAB3.A.A$4.A9.4B9.
3B.B.3B14.2A3.B5.2B2A11BD5B2.A4B.A.2A$2.A10.4B3.2A.7AB.B7A7.A3.A10.
18B6.B2A.A$2.5A5.4B5.A.A2.B2.BA.AB2.B2.A7.4A12.B.3B.8B9.BAB.A$7.A4.4B
5.A2.A.A.2A3.2A.A.A29.8B8.A4.A$4.3AB2.7B.BA.A3.2A.A5.A.2A11.2A16.4B
13.5A$3.A.2B3.7B.B2A9.A.A16.2A15.4B$3.4A7B2D3B10.2A.2A21.2A8.4B14.A.
2A$.2A2.BA3B2A2BDBD2B30.4A2.A.A6.4B15.2A.A$A2.3AB.2B2A2BD4B29.A4.A.A.
A5.4B$2A.A.B3.10B29.ABABA.A.A5.4B$3.A8.8B23.2A4.2A.A.A6.4B$3.2A7.9B
23.A4.4BABA4.4B$13.3B2.4B22.A.AB4.2BA3B.4B$11.5B3.4B22.2AB.B4.8B7.A$
11.2A7.4B23.4B2.8B7.A.A$12.A8.4B22.15B6.A2.A$9.3A10.4B21.16B3.B2A.2A$
9.A13.4B19.19BAB.B.A$24.4B6.A10.4B.5B2AB2A5B4A2.A$25.4B5.3A7.4B2.5B2A
B2A7B2.2A$26.4B7.A5.4B3.17B2A$27.4B5.2A4.4B4.15B.B.A$28.4B4.9B5.13B4.
A$29.4B5.6B6.9B9.3A$30.4B2.3BD4B5.10B11.A$31.7BD7B3.10B$32.6B3D5B5.7B
$33.6B2.5B5.9B$34.10B.B2A6.6B2.2A$36.3B2AB3.BA.A5.2B.2ABA2.A$36.3B2AB
6.A6.BABAB3A$38.4B6.2A3.A2.A.A$38.3B12.4A.3A$35.AB.2B17.A3.A$34.A.AB
2AB14.A.A2.2A$34.A.ABABAB13.2A$31.2A.A.A.A.A2.A$31.A2.A2.2A.4A$33.2A
4.A$39.A.A$40.2A!
... I haven't actually figured out yet how three gliders in the loop and tremi-Snarks can make an odd period. Is that just for cases where the loop is adjusted to be much longer than the Jubjub-reflector section, so that there's always time for the signal to get back past the switch? I'm probably thinking about it wrong, but it seems like six gliders would be needed in the (even bigger) loop, to get to an odd period.
Re: Small Four-Digit Prime Period Guns
Posted: September 8th, 2023, 11:04 am
by Jormungant
Well, what ever track you pick that feeds back the glider into the track, if takes K tick, the period of the gun will be 2K + (some even number) + 8N, so it will be even because the track is used twice every "period", but 1 time is slower than the other by an even number, the only way to have a odd period here would be to have a different 180 degree reflector, that slows the glider by a odd number instead.
If you put 2 glider on the track, one will always use the "fast" loop, and the other with use the slow loop. So they are very likely to collide eventually, unless you carefully pick the delays I guess. If you have 3, then every glider will alteratively use the fast and slow loop, so they all will have the same period. So if each produces a glider uppon lap competion, with a semi snark, you get to divide the period by 3. I though that with a tremi snark you could divide the period by 2 instead, but I just realized that it actually does not work because that will be always the same glider that manages to release a glider through the tremi snark, and the time between successfully exiting gliders will be uneven. If would be possible to get it to work if the 1st and 5th glider, out of a loop of 6, go unfiltered, but that's not possible to do with a tremi snark. So, well, the period will always be even with this trick.
Re: Small Four-Digit Composite Period Guns
Posted: September 8th, 2023, 11:15 am
by confocaloid
Jormungant wrote: September 7th, 2023, 8:29 pm
That thing is 1461 + 16X, so it is going to hit a few primes, though probably need a better 2b-to-g for guarantied awesomeness.
1461 = 3 x 487 is not prime, but there was no
guntrue_1461 on Catagolue; here is a curious comparison:
- on the left is the reduced 1461 + 16X design from above, adjusted to p1461;
- on the right is the
p487 Bronco-based gun with tremi-Snark.
Although the Bronco-based gun wins (78 x 61 = 4758), the other gun is also rather small (102 x 82 = 8364).
Code: Select all
x = 190, y = 82, rule = LifeHistory
32.2A$31.B2AB11.2A.A.2A$32.3B4.A.2A.A2.A.2A2.A$31.B.B5.2A.A.2A.A4.A.A
22.2A$31.5B8.B2.5A.A22.B2A2B$31.6B6.2ABA4.A25.4B$31.8B4.2A.A.AB2.A13.
A11.4B3.3B$32.13B2.A.A2B.A12.3A8.4B4.5B$30.13B5.A2B.2A4.A10.A6.14B$
29.15B3.3B8.3A7.2AB5.14B$29.15B3.2B12.A6.5B3.16B$28.17B.4B10.2A8.5B.
16B$28.29B3.4B2A4.22B$27.13B2A16B4.2B2A4.23B$26.14B2A16B2.7B2.24B4.3B
$25.2AB3.27B.7B3.24B.7B$24.A2.A4.35B2.23B.B2A5B$23.A.2A5.6B3.B2.2B2.
19B.25BA2BA5B$23.A7.6B14.43B2A6B$22.2A6.9B14.48B$29.4B4.2A15.36B.6B.
2B$28.4B5.A15.35B2.8B.B22.2A$27.4B7.3A12.7B.26B4.6B.B2A20.B2AB$26.4B
10.A10.2AB.3B4.25B8.B3.A.A19.3B$25.4B21.A.AB9.25B12.2A10.2A8.B.B$24.
4B22.A10.5B2.19B4.B21.A6.5B$23.4B22.2A10.2A6.20B.B2A20.A.AB2.6B$22.4B
32.A3.A6.22B2A21.2AB2.11B$21.4B33.4A6.24B24.14B2A$20.4B43.25B23.15B2A
3B5.2A30.2A$19.4B35.2A6.24B26.20B4.A30.B2A2B3.2A$18.4B35.B2AB4.22B.B
25.2AB.20BA.A31.4B2.B2AB$17.4B37.3B3.10B.12B26.A.AB2.19B2A6.A21.B.6B
3.2B$16.4B37.B.B3.8B5.11B26.A5.19B6.3A19.10B2.2B$3.2A10.4B37.14B9.7B
26.2A5.19B5.A22.11B2A2B$4.A9.4B36.15B9.8B5.2A24.21B5.2A20.12B2A3B.B$
2.A10.4B36.15B9.8B6.A23.23B6.B20.18B2A$2.5A5.4B5.2A28.16B11.8B2.BA.A
22.2B2A20B6.3B19.15B.B2A$7.A4.4B5.A28.16B11.10B.B2A23.2B2A21B4.6B16.
15B3.B$4.3AB2.7B.BA.A27.16B12.12B26.25B2.10B11.17B$3.A.2B3.7B.B2A26.
17B2.B10.12B26.26B.11B3.2B2.19B$3.4A12B27.23B6.2AB2.9B28.29B2A31B$.2A
2.BA3B2A7B26.6B2A17B4.A.AB2.8B29.29B2A22B.7B$A2.3AB.2B2A7B24.8B2A16B
5.A4.8B2.2B25.54B2.6B$2A.A.B3.10B15.2A7.27B3.2A4.8B.4B24.54B2.7B$3.A
8.8B15.A6.28B8.14B24.53B4.6B$3.2A7.9B14.A.AB.28B10.11B2AB24.22B5.14B.
4B10.6B6.2A$13.3B2.4B14.2AB.28B10.11B2A2B25.19B7.7B.B4.4B12.5B6.A$11.
5B3.4B15.24B2.B.B12.14B25.18B9.4B7.4B5.2A.2A.8B2.BA.A$11.2A7.4B14.23B
2.3B15.11B26.9B.7B11.4B5.4B5.A.A.A.A8B2.B2A$12.A8.4B13.23B2.B2AB13.
13B26.8B4.6B10.4B3.4B6.A.A.BA2B.9B$9.3A10.4B13.21B4.2A13.14B25.9B8.2A
11.4B.4B6.2A.A2.2B2.9B$9.A13.4B13.16B.B.B2A17.14B24.10B8.A13.7B6.A3.
2A.B3.8B$24.4B13.16B2.BA.A9.A7.13B21.B.12B8.3A11.5B8.A.A2.A.A2.8B.2B$
25.4B6.A5.11B2.2B6.A9.3A3.14B21.2A13B10.A11.5B7.2A.2A2.2A2.13B$26.4B
5.3A3.10B11.2A11.A2.9B26.2A12B22.7B17.13B$27.4B7.A3.9B23.A2.10B27.B2.
9B2A20.4B.3BA16.3A11B$28.4B5.2A4.ABA4B19.2A3.2A11B29.2B2.5BA2BA2.2A
14.4B3.B2AB14.3BA10B$29.4B4.6B2AB.B21.A2.2A2.11B29.2AB3.2B.ABAB3.A2.A
10.4B5.ABAB12.3BA2.10B$30.4B5.5BA25.2A2.2A10B29.A.A8.A4B.A.A.A8.4B7.
4B10.4B2.11B.B$31.4B2.8B27.A.A.B.8B27.3A.A.A8.B2A.A2.A8.4B9.4B8.4B.
14B2A$32.15B25.A2.A3.6B27.A5.2A8.BAB.A10.4B11.30B2A$33.14B26.2A5.4B
28.2A12.A4.A10.4B4.2A7.30B$34.13B22.2A8.4B39.2A2.5A10.4B5.A.A6.30B$
35.10B.B2A19.B2AB6.4B40.A17.4B8.A4.28B$37.3B2AB3.BA.A18.4B5.4B42.6A
10.4B9.2A.28B2A$37.3B2AB6.A19.2B5.4B45.A3.A8.4B12.2B2A13B2.2B2.6B2AB.
B$39.4B6.2A9.2A7.4B2.4B49.2A7.4B13.BABA10B11.8B2A$39.3B18.A.A5.5B.4B
50.5B3.4B14.BA2B.7B15.4B.B2A$36.AB.2B20.A.14B42.2A9.3B2.4B13.A3.A2.7B
16.2B3.B$35.A.AB2AB20.14B42.A.A8.9B14.4A3.7B15.2B$35.A.ABABAB19.14B
42.A8.B.8B22.3B.B.B2A12.B2AB$32.2A.A.A.A.A2.A17.15B38.2A.AB.B3.BA9B
16.2A11.BA.A12.2A$32.A2.A2.2A.4A16.3B2A12B38.A.A.2AB.3A9B16.2A14.A$
34.2A4.A20.3B2A13B37.A.A.2A2B2A10B32.2A$40.A.A16.2AB.11B2.4B35.2A.A2.
5BA9B$41.2A15.A.AB2.8B5.4B34.A2.4A3BA8B.B2A$58.A5.10B4.4B34.2A2.BAB.B
A8B.BA.A$57.2A5.B.B5.2A5.4B35.2A6.7B5.A$65.3B4.A7.3BA34.A7.2B.3BA5.2A
$64.B2AB5.3A5.3BA35.A9.3BA$65.2A8.A6.3A34.2A10.3A!
#C [[ MAXGRIDSIZE 9 ]]
welded 1609 + 16k down to 1561 + 16k:
Code: Select all
x = 104, y = 83, rule = LifeHistory
34.2A$33.B2AB11.2A.A.2A$34.3B4.A.2A.A2.A.2A2.A$33.B.B5.2A.A.2A.A4.A.A
22.2A$33.5B8.B2.5A.A22.B2A2B$33.6B6.2ABA4.A25.4B$33.8B4.2A.A.AB2.A13.
A11.4B3.3B$34.13B2.A.A2B.A12.3A8.4B4.5B$32.13B5.A2B.2A4.A10.A6.14B$
31.15B3.3B8.3A7.2AB5.14B$31.15B3.2B12.A6.5B3.16B$30.17B.4B10.2A8.5B.
16B$30.29B3.4B2A4.22B$29.13B2A16B4.2B2A4.23B$28.14B2A16B2.7B2.24B4.3B
$27.2AB3.27B.7B3.24B.7B$26.A2.A4.35B2.23B.B2A5B$25.A.2A5.6B3.B2.2B2.
19B.25BA2BA5B$22.A2.A7.6B14.43B2A6B$22.4A6.9B14.48B$31.4B4.2A15.36B.
6B.2B$20.4A6.4B5.A15.35B2.8B.B$20.A3.A4.4B7.3A12.7B.26B4.6B.B2A$23.2A
3.4B10.A10.2AB.3B4.25B8.B3.A.A$23.8B21.A.AB9.25B12.2A$19.2A4.5B22.A
10.5B2.19B4.B$15.2A.A.BAB.5B6.2B14.2A10.2A6.20B.B2A$15.2A.A.2AB2.12B
23.A3.A6.22B2A$18.A.B.B3.13B21.4A6.24B$18.A.2A2B2.13B30.25B$19.A2.AB.
14B3.2A16.2A6.24B$20.2ABA17B2.A5.2A8.B2AB4.22B.B$17.3A2.A6B2A11B.A.2A
.A.A9.3B3.10B.12B$17.A2.A2.6B2A9B.3A2.A.A.A.A6.B.B3.8B5.11B$18.2A3.
17BAB2.2A2.A2.2A5.14B9.7B$24.5B2A6B.2B4A4.A7.15B9.8B5.2A$23.6B2A3B4.
4B.A.3A7.15B9.8B6.A$22.12B6.2A.A.A7.16B11.8B2.BA.A$21.4B.8B7.A.A.A6.
16B11.10B.B2A$20.4B3.7B5.A.A2.A6.16B12.12B$19.4B5.5B4.3A.3A5.17B2.B
10.12B$18.4B6.5B3.A11.23B6.2AB2.9B$17.4B7.2A2B4.A.A.2A5.6B2A17B4.A.AB
2.8B$16.4B7.2BA3B2.2A.2A.A3.8B2A16B5.A4.8B2.2B$3.2A10.4B8.A.A.A.A3.A
7.27B3.2A4.8B.4B$4.A9.4B7.3ABA.2A.2A.A6.28B8.14B$2.A10.4B7.A5.A3.A2.A
.AB.28B10.11B2AB$2.5A5.4B5.2A2.A.2A.A3.A.A.2AB.28B10.11B2A2B$7.A4.4B
5.A4.2A.A3.2A.A3.24B2.B.B12.14B$4.3AB2.7B.BA.A10.A2.2A3.23B2.3B15.11B
$3.A.2B3.7B.B2A11.2A6.23B2.B2AB13.13B$3.4A12B22.21B4.2A13.14B$.2A2.BA
3B2A7B23.16B.B.B2A17.14B$A2.3AB.2B2A7B24.16B2.BA.A9.A7.13B$2A.A.B3.
10B24.11B2.2B6.A9.3A3.14B$3.A8.8B23.10B11.2A11.A2.9B$3.2A7.9B23.9B23.
A2.10B$13.3B2.4B23.7B19.2A3.2A11B$11.5B3.4B21.ABAB.B21.A2.2A2.11B$11.
2A7.4B19.B2AB25.2A2.2A10B$12.A8.4B6.A10.3BA28.A.A.B.8B$9.3A10.4B5.3A
7.4B29.A2.A3.6B$9.A13.4B7.A5.4B31.2A5.4B$24.4B5.2A4.4B28.2A8.4B$25.4B
4.9B28.B2AB6.4B$26.4B5.6B29.4B5.4B$27.4B2.8B30.2B5.4B$28.15B19.2A7.4B
2.4B$29.14B19.A.A5.5B.4B$30.13B20.A.14B$31.10B.B2A19.14B$33.3B2AB3.BA
.A18.14B$33.3B2AB6.A18.15B$35.4B6.2A16.3B2A12B$35.3B25.3B2A13B$32.AB.
2B24.2AB.11B2.4B$31.A.AB2AB22.A.AB2.8B5.4B$31.A.ABABAB21.A5.10B4.4B$
28.2A.A.A.A.A2.A18.2A5.B.B5.2A5.4B$28.A2.A2.2A.4A26.3B4.A7.4B$30.2A4.
A29.B2AB5.3A5.3BA$36.A.A28.2A8.A6.3BA$37.2A46.3A!
#C [[ MAXGRIDSIZE 9 ]]
: smaller p1669 + 16k:
Code: Select all
x = 224, y = 82, rule = B3/S23
34b2o118b2o$34b2o12b2obob2o99b2o12b2obob2o$41bob2obo2bob2o2bo105bob2ob
o2bob2o2bo$41b2obob2obo4bobo22b2o80b2obob2obo4bobo22b2o$49b5obo23b2o
88b5obo23b2o$45b2obo4bo111b2obo4bo$45b2obobo3bo13bo96b2obobo3bo13bo$
49bobo3bo12b3o98bobo3bo12b3o$50bo3b2o4bo10bo98bo3b2o4bo10bo$60b3o7b2o
108b3o7b2o$63bo119bo$62b2o118b2o$66b2o118b2o$42b2o22b2o94b2o22b2o$42b
2o118b2o$27b2o118b2o$26bo2bo66b2o48bo2bo66b2o$25bob2o66bo2bo46bob2o66b
o2bo$22bo2bo70b2o47bo70b2o$22b4o118b2o$39b2o118b2o$20b4o15bo100bo18bo$
20bo3bo15b3o58b2o37b3o17b3o58b2o$23b2o17bo10b2o46bobo39bo18bo10b2o46bo
bo$52bobo47b2o38b2o28bobo47b2o$19b2o31bo119bo$15b2obo2bo29b2o10b2o28b
2o43b2o31b2o10b2o28b2o$15b2obob2o38bo3bo28b2o39b2obo2bo39bo3bo28b2o$
18bo41b4o70b2obob2o39b4o$18bob2o115bo$19bo2bo19b2o16b2o75bob2o39b2o$
20b2obo19bo16b2o76bo2bo19b2o17b2o$17b3o2bo6b2o12bob2o92b2obo19bo$17bo
2bo8b2o10b3o2bo89b3o2bo6b2o12bob2o$18b2o20bo3b2o90bo2bo8b2o10b3o2bo$
29b2o9b4o49b2o42b2o20bo3b2o48b2o$29b2o12bo49bo54b2o9b4o50bo$40b2obobo
45bobo54b2o12bo48bobo$41bo2b2o45b2o66b2obobo46b2o$39bobo118bo2b2o$35b
2obobo117bobo$36bobo38b2o79b2o37b2o$28b2o6bobo14b2o21bobo94b2o21bobo$
2b2o25bo5b2ob2o13b2o21bo70b2o24b2o21bo$3bo23bobobobo3bo37b2o71bo7b2o
37b2o$3bobo19b3obob2ob2obo108bobobobo4bo$4b2o15b2obo5bo3bob2obo51b2o
51b3obob2obo3bobo51b2o$21bo3bob2obo3bo3b2o51b2o25b2o23bo5bo3bo4b2o51b
2o$bo17bobo4b2ob2ob2ob2o82bo24bob2obo3b2o$b3o15b2o11bo2bo83bobo23b2obo
$4bo27bo2bo30b2o52b2o15b2o47b2o$3b2o22b2o4b2o31b2o69bo48b2o$27bo34b2o
53bo17bobo44b2o$25bobo34bobo9bo42b3o15b2o45bobo9bo$25b2o10bo26bo9b3o
43bo63bo9b3o$37b3o24b2o11bo41b2o22b2o39b2o11bo$2b2o36bo35bo66bo52bo$bo
bo35b2o4bobo23b2o3b2o63bobo21bobo23b2o3b2o$bo43b2o7b2o15bo2b2o65b2o10b
o11b2o24bo2b2o$2o44bo7bo17b2o2b2o75b3o10bo25b2o2b2o$51b2obo19bobo41b2o
36bo37bobo$50bo2bo20bo2bo39bobo35b2o37bo2bo$51b2o22b2o40bo52b2o23b2o$
36b2o33b2o43b2o52bo20b2o$36b2o33b2o94b2obo20b2o$166bo2bo$13b2o152b2o$
9b2o2b2o47b2o88b2o28b2o$8bobo51bobo87b2o28bobo$8bo15b2o3bo33bo119bo$7b
2o15bo3bobo98b2o$25bo3bobob2o90b2o2b2o$26bo4bob2o89bobo$24bob5o35b2o
56bo15b2o3bo40b2o$23bobo4bob2obob2o27b2o55b2o15bo3bobo39b2o$24bo2b2obo
2bob2obo22b2o78bo3bobob2o30b2o$25b2obob2o12b2o14bobo79bo4bob2o29bobo$
44b2o14bo79bob5o33bo$59b2o13b2o63bobo4bob2obob2o24b2o13b2o$74bo10bo54b
o2b2obo2bob2obo39bo10bo$67b2o6b3o8bo54b2obob2o12b2o25b2o6b3o8bo$67b2o
8bo6b3o73b2o25b2o8bo6b3o!
#C [[ MAXGRIDSIZE 9 THEME LifeHistory ]]
Re: Small Four-Digit Prime Period Guns
Posted: September 8th, 2023, 1:57 pm
by Jormungant
Well, the more you search, the more you find. Here is another weird one:
Code: Select all
x = 142, y = 95, rule = LifeHistory
3$59.2A$58.A.A$52.2A4.A$50.A2.A2.2A.4A$50.2A.A.A.A.A2.A$53.A.ABABAB$
53.A.AB2AB34.A$54.AB.2B34.A.A$57.3B24.2A7.A.A$57.4B6.2A14.B2AB5.2A.3A
$55.3B2AB6.A9.2A5.3B6.B4.A$55.3B2AB3.BA.A8.B2AB2.B2.B5.B2AB3A$53.10B.
B2A9.14B.B2A.A$52.13B12.17B$51.6B3D5B11.17B$50.7BD7B10.18B$49.4B2.3BD
4B11.8BA11B$48.4B5.6B11.7BABA10B$47.4B4.9B8.B.7BA2BA8B$46.4B5.2A4.4B
6.2A9B2A8B$45.4B7.A5.4B5.2AB.18B$44.4B5.3A7.4B5.B4.16B$43.4B6.A10.4B
9.5B3D9B$42.4B19.4B5.8BD10B2A$42.3B21.4B3.10BD9B2A$42.2B23.4B2.21B$
42.B25.4B2.19B$69.23B$70.8B.13B$71.21B$73.15B.4B$75.4B2.6B3.4B$75.3B
3.3B7.4B$79.5B8.4B$79.2AB11.4B$80.A13.4B$77.3A15.3B$28.3B46.A18.B$13.
A13.4B$13.3A10.4B$16.A8.4B$15.2A7.4B$15.5B3.4B74.4B$17.3B2.4B18.2A56.
4B$7.2A7.9B18.B2AB11.2A.A.2A38.4B22.2A$7.A8.8B20.3B4.A.2A.A2.A.2A2.A
38.4B22.3A$4.2A.A.B3.10B20.B.B5.2A.A.2A.A4.A.A38.4B16.A2.A4.A$4.A2.3A
B.2B2A2BD4B20.5B8.B2.5A.A40.4B15.4AB3A$5.2A2.BA3B2A2BDBD2B20.6B6.2ABA
4.A43.4B19.A$7.4A7B2D3B20.8B4.2A.A.AB2.A43.4B11.A3.3AB$7.A.2B3.7B.B2A
19.13B2.A.A2B.A4.A18.A19.4B9.A.A.BA.3B$8.3AB2.7B.BA.A16.13B5.A2B.2A4.
3A7.2A7.3A12.B.3B.4B9.A.2B.B2.B2A$11.A4.4B5.A15.15B2.4B11.A6.A11.A10.
18B4.4B2.BA.A$6.5A5.4B5.2A14.15B2.3B11.2A3.BA.A10.2A3.B5.2B2A11BD4B2.
6B4.A$6.A10.4B19.17B.4B10.4B.B2A11.8B3.2B2A9B3D4B.7B4.2A$8.A9.4B18.
29B5.4B15.8B.13BDBD4B.7B$7.2A10.4B16.10BD2B2A11BD4B3.5B15.22BD15B$20.
4B10.2A2.11BD2B2A9BDCD4B2.7B13.15B.2B2.20B$21.4B9.A2.2AB3.6BD13BCBC4B
.9B6.3B.17B8.17B$22.4B9.2A2.A4.19BD.15B5.21B11.15B$23.4B11.A5.6B3.B2.
2B2.20B5.5BD15B12.15B$24.4B7.3A5.6B13.21B2.5BDBD.3B.7B12.16B3.2A$25.
4B5.A7.9B10.29B3D.12B11.16B3.A$26.4B4.2A5.4B4.2A10.31BD14B8.2AB.15BA.
A$27.9B4.4B5.A12.34B2.8B8.A.AB5.9B2.2A$28.6B5.4B7.3A8.32B7.6B8.A9.8B$
28.4BA3B2.4B10.A7.B2C2B.27B7.5B8.2A8.9B$26.7BA7B20.2C3.27B8.4B16.A11B
$26.5B3A6B28.25B8.3B15.3A2.9B$26.13B27.5B.20B10.4B12.A5.9B$24.2AB.10B
28.2AB4.12B3.2B14.2A12.2A6.6B$23.A.AB3.B2A4B30.A4.14B18.A21.6B$23.A6.
B2A3B28.3A3.A.2AB.7B.B20.3A16.2AB.3B$22.2A6.4B30.A2.4AB2AB3.6B23.A15.
A.AB$31.3B33.A4.B3.4B.3B39.A$32.2B.BA32.2A.2A2.2A4.4B36.2A$31.B2ABA.A
32.A.A4.A6.2A$30.BABABA.A32.A2.4A7.A$28.A2.A.A.A.A.2A30.A.A2.A.A6.3A$
28.4A.2A2.A2.A31.A4.2A8.A$32.A4.2A$30.A.A$30.2A!
It does suffer from the "always even" curse though, so no potential prime gun here. That being said, if there is a hershel track that has a special property that if 2 successive signal being too close (by a selected amount) can be detected and yield some glider one can catch, that could be interesting to have 2 gliders on the same track, but 1 of the 2 always takes a short-cut and catches on the other, until collision. Basically, one could make a high prime gun of the form N * N/ S + M, where N is the period of the track, and S the time saved by the shortcut (82 in the given example), and M the time to put the gliders back on track. Well, that's for 5 digits primes, so we are not there yet
Code: Select all
x = 158, y = 100, rule = LifeHistory
8$65.2A$64.A.A$58.2A4.A$56.A2.A2.2A.4A$56.2A.A.A.A.A2.A$59.A.ABABAB$
59.A.AB2AB34.A$60.AB.2B34.A.A$63.3B24.2A7.A.A$63.4B6.2A14.B2AB5.2A.3A
$61.3B2AB6.A9.2A5.3B6.B4.A$61.3B2AB3.BA.A8.B2AB2.B2.B5.B2AB3A$59.10B.
B2A9.14B.B2A.A$58.13B12.17B$57.6B3D5B11.17B$56.7BD7B10.18B$55.4B2.3BD
4B11.8BA11B$54.4B5.6B11.7BABA10B$53.4B4.9B8.B.7BA2BA8B$52.4B5.2A4.4B
6.2A9B2A8B$51.4B7.A5.4B5.2AB.18B$50.4B5.3A7.4B5.B4.16B$49.4B6.A10.4B
9.5B3D9B$48.4B19.4B5.8BD10B2A$48.3B21.4B3.10BD9B2A$48.2B23.4B2.21B$
48.B25.4B2.19B$75.23B$76.8B.13B$77.21B$79.15B.4B$81.4B2.6B3.4B$81.3B
3.3B7.4B$85.5B8.4B$85.2AB11.4B$86.A13.4B$83.3A15.3B$34.3B46.A18.B$19.
A13.4B$19.3A10.4B$22.A8.4B$21.2A7.4B$21.5B3.4B74.4B$23.3B2.4B18.2A56.
4B$13.2A7.9B18.B2AB11.2A.A.2A38.4B22.2A$13.A8.8B20.3B4.A.2A.A2.A.2A2.
A38.4B22.3A$10.2A.A.B3.10B20.B.B5.2A.A.2A.A4.A.A38.4B16.A2.A4.A$10.A
2.3AB.2B2A2BD4B20.5B8.B2.5A.A40.4B15.4AB3A$11.2A2.BA3B2A2BDBD2B20.6B
6.2ABA4.A43.4B19.A$13.4A7B2D3B20.8B4.2A.A.AB2.A43.4B11.A3.3AB$13.A.2B
3.7B.B2A19.13B2.A.A2B.A4.A18.A19.4B9.A.A.BA.3B$14.3AB2.7B.BA.A16.13B
5.A2B.2A4.3A7.2A7.3A12.B.3B.4B9.A.2B.B2.B2A$17.A4.4B5.A15.15B2.4B11.A
6.A11.A10.18B4.4B2.BA.A$12.5A5.4B5.2A14.15B2.3B11.2A3.BA.A10.2A3.B5.
2B2A11BD4B2.6B4.A$12.A10.4B19.17B.4B10.4B.B2A11.8B3.2B2A9B3D4B.7B4.2A
$14.A9.4B18.29B5.4B15.8B.13BDBD4B.7B$13.2A10.4B16.10BD2B2A11BD4B3.5B
15.22BD15B$26.4B10.2A2.11BD2B2A9BDCD4B2.7B13.15B.2B2.20B$27.4B9.A2.2A
B3.6BD13BCBC4B.9B6.3B.17B8.17B$28.4B9.2A2.A4.19BD.15B5.21B11.15B$29.
4B11.A5.6B3.B2.2B2.20B5.5BA15B12.15B$30.4B7.3A5.6B13.21B2.5BABA.3B.7B
12.16B3.2A$31.4B5.A7.9B10.29B3A.12B11.16B3.A$32.4B4.2A5.4B4.2A10.29B
2.A14B8.2AB.15BA.A$33.9B4.4B5.A12.34B2.8B8.A.AB5.9B2.2A$34.6B5.4B7.3A
8.32B7.6B8.A9.8B$34.4BA3B2.4B10.A7.B2C2B.27B7.5B8.2A8.9B$32.7BA7B20.
2C3.27B8.4B16.A11B$32.5B3A6B28.25B8.3B15.3A2.9B$32.13B27.5B.20B10.4B
12.A5.9B$30.2AB.10B28.2AB4.12B3.2B14.2A12.2A6.6B$29.A.AB3.B2A4B30.A4.
14B18.A21.6B$29.A6.B2A3B28.3A3.A.2AB.7B.B20.3A16.2AB.3B$28.2A6.4B30.A
2.4AB2AB3.6B23.A15.A.AB$37.3B33.A4.B3.4B.3B39.A$38.2B.BA32.2A.2A2.2A
4.4B36.2A$37.B2ABA.A32.A.A4.A6.2A$36.BABABA.A32.A2.4A7.A$34.A2.A.A.A.
A.2A30.A.A2.A.A6.3A$34.4A.2A2.A2.A31.A4.2A8.A$38.A4.2A$36.A.A$36.2A!
Re: Small Four-Digit Composite Period Guns
Posted: December 15th, 2023, 11:23 pm
by confocaloid
guntrue_2023 (p2023 glider gun) reduced to 128x84, using the
alternating delay component above and
a recent glider reflector:
Code: Select all
x = 128, y = 84, rule = LifeHistory
58.2A$57.B2AB11.2A.A.2A$58.3B4.A.2A.A2.A.2A2.A$57.B.B5.2A.A.2A.A4.A.A
22.2A$57.5B8.B2.5A.A22.B2A2B$57.6B6.2ABA4.A25.4B$57.8B4.2A.A.AB2.A13.
A11.4B3.3B$58.13B2.A.A2B.A12.3A8.4B4.5B$56.13B5.A2B.2A4.A10.A6.14B$
55.15B3.3B8.3A7.2AB5.14B$55.15B3.2B12.A6.5B3.16B$54.17B.4B10.2A8.5B.
16B$54.29B3.4B2A4.22B$53.13B2A16B4.2B2A4.23B$52.14B2A16B2.7B2.24B4.3B
$51.2AB3.27B.7B3.24B.7B$50.A2.A4.35B2.23B.B2A5B$49.A.2A5.6B3.B2.2B2.
19B.25BA2BA5B$49.A7.6B14.43B2A6B$48.2A6.9B14.48B$9.2A4.2A38.4B4.2A15.
36B.6B.2B$8.A2.A4.A37.4B5.A15.35B2.8B.B$8.A.A3.A4.2A32.4B7.3A12.7B.
26B4.6B.B2A$9.A.5A4.A31.4B10.A10.2AB.3B4.25B8.B3.A.A$11.A5.3A31.4B21.
A.AB9.25B12.2A$10.A2.B2A.A8.A23.4B22.A10.5B2.19B4.B$6.2A.A.2BA.BA7.3A
22.4B22.2A10.2A6.20B.B2A$4.A2.A.2A.2B2A7.A24.4B32.A3.A6.22B2A$4.2A.A
5.2B8.2A22.4B33.4A6.24B$7.A4.4B.2A.5B21.4B43.25B$7.2AB2.5B2A4B22.4B
35.2A6.24B$9.15B20.4B35.B2AB4.22B.B$5.4A18B16.4B37.3B3.10B.12B$5.A2.A
B.17B14.4B37.B.B3.8B5.11B$6.A2.20B12.4B37.14B9.7B$3.3A3.22B9.4B36.15B
9.8B5.2A$3.A5.22B8.4B36.15B9.8B6.A$10.22B6.4B35.16B11.8B2.BA.A$11.20B
6.4B35.16B11.10B.B2A$11.19B6.4B35.16B12.12B$12.17B6.4B34.17B2.B10.12B
$13.10B.4B6.4B34.23B6.2AB2.9B$9.B3.10B2.4B4.4B34.6B2A17B4.A.AB2.8B$7.
4B2.10B3.4B2.4B33.8B2A16B5.A4.8B2.2B$7.15B5.8B25.2A7.27B3.2A4.8B.4B$
3.B.17B6.6B27.A6.28B8.14B$2.2A17B8.4B28.A.AB.28B10.11B2AB$2.2AB.15B7.
6B28.2AB.28B10.11B2A2B$3.B4.12B7.8B29.24B2.B.B12.14B$10.11B5.4B2.4B
28.23B2.3B15.11B$12.B.4B2A2B3.4B4.4B27.23B2.B2AB13.13B$14.3BA2BAB2.4B
6.4B27.21B4.2A13.14B$14.4B2A2B.4B8.4B27.16B.B.B2A17.14B$14.7B.4B10.4B
27.16B2.BA.A9.A7.13B$13.12B12.4B26.11B2.2B6.A9.3A3.14B$13.11B14.4B25.
10B11.2A11.A2.9B$12.11B16.4B25.9B23.A2.10B$11.11B18.4B25.7B19.2A3.2A
11B$11.10B20.4B23.4B.B21.A2.2A2.11B$11.11B7.2A11.4B21.ABAB25.2A2.2A
10B$11.13B5.A13.4B19.B2AB28.A.A.B.8B$10.15B.BA.A14.4B6.A10.3BA29.A2.A
3.6B$8.17B.B2A16.4B5.3A7.4B31.2A5.4B$7.20B19.4B7.A5.4B28.2A8.4B$7.21B
19.4B5.2A4.4B28.B2AB6.4B$3.2A2.21B20.4B4.9B29.4B5.4B$3.A2.23B20.4B5.
6B31.2B5.4B$2A.A.24B21.4B2.8B22.2A7.4B2.4B$A2.2A5B.18B22.15B20.A.A5.
5B.4B$.2A4.AB4.15B24.14B21.A.14B$3.5A7.5B2.6B25.13B22.14B$3.A11.5B3.B
.B28.10B.B2A20.14B$5.A10.3B5.3B29.3B2AB3.BA.A19.15B$4.2A8.4B5.B2AB29.
3B2AB6.A18.3B2A12B$14.2A8.2A32.4B6.2A17.3B2A13B$15.A42.3B24.2AB.11B2.
4B$12.3A40.AB.2B24.A.AB2.8B5.4B$12.A41.A.AB2AB23.A5.10B4.4B$54.A.ABAB
AB21.2A5.B.B5.2A5.4B$51.2A.A.A.A.A2.A27.3B4.A7.4B$51.A2.A2.2A.4A26.B
2AB5.3A5.4B$53.2A4.A31.2A8.A6.3BA$59.A.A47.3BA$60.2A48.3A!
#C [[ MAXGRIDSIZE 9 ]]
edit: processed in
https://gitlab.com/hatsya/open-source/c ... 5765735628
Previous design:
calcyman wrote: January 2nd, 2023, 9:27 am
confocaloid wrote: January 2nd, 2023, 8:59 am
There was no gun_2023 on Catagolue and I thought I'd submit one as a test.
143-by-84, using Kazyan's method to multiply the period of the drive gun by 17:
Code: Select all
x = 143, y = 84, rule = LifeHistory
34.2A$34.A.A$36.A4.2A$32.4A.2A2.A2.A$26.2A4.A2.A.A.A.A.2A$26.A7.BABAB
A.A$28.A6.B2ABA.A52.A.A21.2A$24.5A7.2B.BA52.A.2A2.A17.A.A$24.A10.3B
55.A3.3A11.2A4.A$26.B4A3.4B51.A.2A.2A13.A2.A2.2A.4A$26.BA2.A3.B2A3B
49.2A.A.A.2A11.2A.A.A.A.A2.A$26.4B4.B2A3B53.2B2.A14.A.ABABAB$22.2A3.
15B51.AB2A15.A.AB2AB$22.A2.A.2A14B49.BAB2.3A13.AB.2B$24.2A.2A3BA11B
48.3B2A2.A16.3B$28.B.BABA11B46.4B.A.A17.4B6.2A$31.BA7B2.4B41.2A.2AB2A
.A.2A14.3B2AB6.A$31.7B5.4B40.2A.A.A3BA2.A5.A8.3B2AB3.BA.A$31.9B4.4B
42.A.A.B2.2A4.3A6.10B.B2A$30.4B4.2A5.4B38.4A.5A5.A8.13B$29.4B5.A7.4B
36.A4.AB3.A4.A.A6.14B$28.4B7.3A5.4B36.3A.A.3A4.BA.A5.15B$27.4B10.A6.
4B37.2AB2A5.3BA5.4B2.8B$26.4B19.4B37.3B4.4B6.4B5.6B$25.4B21.4B36.3B2.
6B5.4B4.9B$24.4B23.4B36.B2.7B4.4B5.2A4.4B$23.4B25.4B35.2B.8B2.4B7.A5.
4B$22.4B27.4B34.16B5.3A7.4B$21.4B29.4B32.8B3A5B6.A10.3BA$20.4B31.4B
30.9B3A5B18.B2AB10.2A$19.4B33.4B28.9BA3BA4B19.ABAB9.A$18.4B35.4B26.
10B2AB2A4B20.4B10.A$17.4B37.4B24.4B2.12B.B2A12.2A5.4B5.5A$4.2A10.4B
39.4B22.4B3.11B2.BA.A12.A5.4B4.A$5.A9.4B41.4B20.4B5.10B5.A12.A.AB.7B
2.B3A$3.A7.2B.4B5.2A36.4B18.4B6.10B5.2A12.2AB.7B3.2B.A$3.2A6.7B5.A38.
4B16.4B7.11B20.12B4A$.2A2.BAB.2B2A6B.BA.A39.4B14.4B8.10B21.7B2A3BAB2.
2A$A2.4A3BA2BA5B.B2A41.4B12.4B5.A.2AB.8B21.7B2A2B.B3A2.A$2A.A2.5B2A8B
44.4B10.4B4.3AB2AB3.7B20.10B3.B.A.2A$.A.A.2A14B45.4B8.4B4.A4.B6.6B19.
8B8.A$.A.A.2AB.12B46.4B6.4B6.3A.2A4.6B19.9B7.2A$2A.AB.B3.11B47.4B4.4B
9.2A2.A4.5B18.4B2.3B$3.A8.B.8B47.4B2.4B13.A.A.8B16.4B3.5B$3.A.A8.9B
47.8B10.A.2A.A.A8B15.4B7.2A$4.2A8.10B43.2B.7B11.2A.A.BA2B.6B7.2A5.4B
8.A$11.2A.4B3.4B41.2A8B15.A2.2B2.7B6.A5.4B10.3A$11.A.4B5.4B40.2A7B16.
2A.B3.7B3.BA.A4.4B13.A$8.2A.A.2B2AB5.4B40.B.5B15.2A2.A.A2.8B2.B2A4.4B
$6.A2.A.2A2B2A7.4B41.5B14.A2.A2.2A2.11B5.4B$6.2A.A.3B11.4B39.7B14.2A
7.11B4.4B$9.A5.2A9.4B37.4B.4B22.11B3.4B$9.2A5.A10.4B35.A3B3.4B22.11B.
4B$14.A13.4B33.BABA5.4B13.2A9.7B.4B$14.2A13.4B31.2B2A7.4B12.A.A7.12B$
30.4B29.4B9.4B13.A5.B3A9B$31.4B27.4B11.4B12.2AB.2B5A7B$32.4B25.4B13.
4B13.3BAB2A2BA2B2A2B$33.4B23.4B15.4B10.2AB.2AB4A3BABAB.B$34.4B21.4B
17.4B8.A2.A2B5A6BA2B2A$35.4B19.4B19.4B5.A2.2A4BA6BA2BA2B2A$36.4B6.A
10.4B21.4B4.2A.A.2B5.B2A3BA4B$37.4B5.3A7.4B23.4B6.A.B5.A5B2.4B$38.4B
7.A5.4B25.4B5.2A6.6B$39.4B5.2A4.4B27.4B11.A.A3B$40.4B4.9B29.4B8.3A.A.
A.A$41.4B5.7B30.4B6.A4.A.2A.A$42.4B2.9B31.4B5.2A3.A4.A$43.15B.B29.4B
8.2A4.2A$44.15B2A.2A26.4B$45.14B2A.A2.A25.4B$46.15B3.2A26.4B$48.3B2AB
4.4B31.4B$48.3B2AB3.A2.AB32.4B$50.4B3.4AB33.4B$50.3B10.A32.4B$47.AB.
2B7.5A33.4B$46.A.AB2AB6.A38.4B$46.A.ABABAB7.A37.4B$43.2A.A.A.A.A2.A4.
2A38.4B$43.A2.A2.2A.4A45.4B$45.2A4.A50.3BA$51.A.A49.3BA$52.2A50.3AB!
Re: Small Four-Digit Prime Period Guns
Posted: June 6th, 2024, 4:15 pm
by confocaloid
googoIpIex wrote: March 25th, 2019, 7:29 pm[...]
9901 9907 9923 9929 9931 9941 9949 9967 9973
googoIpIex wrote: March 27th, 2019, 9:53 pm
p7753 using a quadri-snark and a tremi-snark:
Code: Select all
x = 117, y = 120, rule = LifeHistory
p9973 glider gun, bounding box 192x162:
Code:
Select all
#C [[ MAXGRIDSIZE 9 THEME LifeHistory ]]
x = 192, y = 161, rule = B3/S23
39b2o$39bo$10b2o29bo$10bo2bo8b2o16b2o$12b2o8bo15bo3b2o$8b4o11bo14b4o2b
o$8bo3b4o4b3o19b2o$10bobo2bo4bo19b2o$9b2o30bo$8bo2bo29bobo9b2o$6bo2bob
o4b2obo22b2o9b2o$6b2obob2o2bo3bo27b2o$9bo3b2o31bobo2b4o$9bob2obo3b2o2b
2o22bobobo4bo$8b2obo2b3o6b2o22bobobobobo$11bo10b2o25bobob2o4b2o$11b2o
9bo25bobo8bo$49bo7bobo$16b2o16bo22b2o$15bo17bobo$16b2o14bo2bo$32b2ob2o
$33bo4bo$32bo2b4o5b2ob2o26b2o$33b2o9b2ob2o26b2o$12b2o21b2o32b2o$13bo
21bo32bobo2b4o$10b3o23bo31bobobo4bo$10bo22b3o33bobobobobo$33bo30bo6bob
ob2o4b2o$25bobo34bobo5bobo8bo$26b2o35b2o6bo7bobo$26bo29bo22b2o$40b2o
13bobo$3b2o35bo2bob2o7bo2bo$4bo36b3obobo6b2ob2o$4bobo15b2o21bobo2bo4bo
4bo$5b2o15b2o19b3ob4o3bo2b4o5b2ob2o26b2o$42bo3bo8b2o9b2ob2o26b2o$42b2o
2bobo8b2o32b2o$47b2o8bo32bobo2b4o$58bo31bobobo4bo$55b3o33bobobobobo$
55bo37bobob2o4b2o$92bobo8bo$93bo7bobo$78bo22b2o$3b2o57b2o13bobo$2bo2bo
2b2o52bo2bob2o7bo2bo$3b2o2bobo13b2o38b3obobo6b2ob2o$5b2o16bobo41bobo2b
o4bo4bo$5bo19bo39b3ob4o3bo2b4o5b2ob2o$2b2obo2bo16b2o37bo3bo8b2o9b2ob2o
$2bob2obobo54b2o2bobo8b2o$6bobo60b2o8bo$3b2o2bo72bo$b3ob2o70b3o$o76bo$
b3ob2o$3bob2o2$13b2o69b2o$13b2o7b2o60bo2bob2o$22bo62b3obobo$20bobo66bo
bo2bo$20b2o65b3ob4o$86bo3bo$43bo11b2o29b2o2bobo$42bobo10b2o34b2o$2o28b
o3bo3b2o2bobo$2o26b3o2bobo2bo2b2ob2o$27bo5bobo3bobo$27b2o5bob4o2bob2o$
36bo3bobob2o$35bo3bobo109bo$16bo17bo3bobo109bobo$15bobo16b2o3bo31bobo
76bobo$15bobo54b2o75b2ob3o$16bo55bo64b2o16bo$17b3o70bo46b2o10b2ob3o$
19bo27b2o39b3o58b2obo$47b2o38bo$62b2o23b2o$61bo2bo$62b2obo$15b2o48bo
29b2ob2o$15b2o48b2o29bob2o$50b2o44bo55b2o$34b2o15bo36b2o4b3o46bo8b2o$
34b2o12b3o37b2o3bo3b2o43bobo$48bo44b4o2bo42bo2bo$79b2o15bob2o43b2o$78b
obo12b3o2bo27b2o47bo$78bo13bo5bo26bobo45b3o$77b2o14b5o27bo24b2o20bo$
95bo28b2o24b2o20b2o3$178b2o$178bo$141b2o12b2o19bobo$141b2o12bobo18b2o$
156b2o$152b2o$151bobo$62bo88bo$62b3o85b2o$65bo$64b2o7$74b2o$67b2o5bobo
$67b2o7bo94b2o$76b2o93b2o2$63bo114bo$62bobob2o110b3o$62bobobobo92b2o
18bo$59b2obobobobo2bo89b2o17b2o$59bo2bo2b2ob4o$61b2o4bo$67bobo$68b2o$
161b2o3b2o$160bo2bo2b2o$160bo2bo$161b2o$179b2o$179bo$118bo58bobo$118b
3o56b2o$121bo$120b2o65b2obo$186bo2b2o$125b2o35bo24bo$125b2o4b2o27b3o
21b3ob2obo$120bo11bo26bo23bo2bobob2o$119bobo8bo28b2o22b2o$120b2o8b2o$
132bo$130b2obo48bo$129bobo2bo46bobo$130bo2b2o46bo2bo$112b2o68b2o$112bo
2bo$113b3o9b2o58b2o$118bo6bo59bobo$115b4o7b3o58bo$115bo12bo37b2o13b2o
4b2o$116bo50bo5bo7bo$115b2o47b3o4b3o3b2o3b3o$164bo5bo6bobo5bo$170b2o3b
obob6o$83bo91b2o$84bo96b2o$82b3o96b2o!
: corrected the bounding box
edit 2:
gun_8783 (157x132),
gun_9283 (150x127),
gun_9973 (192x162) processed in
jobs/7039387123
Re: Small Four-Digit Prime Period Guns
Posted: June 6th, 2024, 4:28 pm
by Anivec
confocaloid wrote: June 6th, 2024, 4:15 pm
googoIpIex wrote: March 25th, 2019, 7:29 pm[...]
9901 9907 9923 9929 9931 9941 9949 9967 9973
googoIpIex wrote: March 27th, 2019, 9:53 pm
p7753 using a quadri-snark and a tremi-snark:
Code: Select all
x = 117, y = 120, rule = LifeHistory
p9973 glider gun, bounding box 192x161:
Code:
Select all
#C [[ MAXGRIDSIZE 9 THEME LifeHistory ]]
x = 192, y = 161, rule = B3/S23
39b2o$39bo$10b2o29bo$10bo2bo8b2o16b2o$12b2o8bo15bo3b2o$8b4o11bo14b4o2b
o$8bo3b4o4b3o19b2o$10bobo2bo4bo19b2o$9b2o30bo$8bo2bo29bobo9b2o$6bo2bob
o4b2obo22b2o9b2o$6b2obob2o2bo3bo27b2o$9bo3b2o31bobo2b4o$9bob2obo3b2o2b
2o22bobobo4bo$8b2obo2b3o6b2o22bobobobobo$11bo10b2o25bobob2o4b2o$11b2o
9bo25bobo8bo$49bo7bobo$16b2o16bo22b2o$15bo17bobo$16b2o14bo2bo$32b2ob2o
$33bo4bo$32bo2b4o5b2ob2o26b2o$33b2o9b2ob2o26b2o$12b2o21b2o32b2o$13bo
21bo32bobo2b4o$10b3o23bo31bobobo4bo$10bo22b3o33bobobobobo$33bo30bo6bob
ob2o4b2o$25bobo34bobo5bobo8bo$26b2o35b2o6bo7bobo$26bo29bo22b2o$40b2o
13bobo$3b2o35bo2bob2o7bo2bo$4bo36b3obobo6b2ob2o$4bobo15b2o21bobo2bo4bo
4bo$5b2o15b2o19b3ob4o3bo2b4o5b2ob2o26b2o$42bo3bo8b2o9b2ob2o26b2o$42b2o
2bobo8b2o32b2o$47b2o8bo32bobo2b4o$58bo31bobobo4bo$55b3o33bobobobobo$
55bo37bobob2o4b2o$92bobo8bo$93bo7bobo$78bo22b2o$3b2o57b2o13bobo$2bo2bo
2b2o52bo2bob2o7bo2bo$3b2o2bobo13b2o38b3obobo6b2ob2o$5b2o16bobo41bobo2b
o4bo4bo$5bo19bo39b3ob4o3bo2b4o5b2ob2o$2b2obo2bo16b2o37bo3bo8b2o9b2ob2o
$2bob2obobo54b2o2bobo8b2o$6bobo60b2o8bo$3b2o2bo72bo$b3ob2o70b3o$o76bo$
b3ob2o$3bob2o2$13b2o69b2o$13b2o7b2o60bo2bob2o$22bo62b3obobo$20bobo66bo
bo2bo$20b2o65b3ob4o$86bo3bo$43bo11b2o29b2o2bobo$42bobo10b2o34b2o$2o28b
o3bo3b2o2bobo$2o26b3o2bobo2bo2b2ob2o$27bo5bobo3bobo$27b2o5bob4o2bob2o$
36bo3bobob2o$35bo3bobo109bo$16bo17bo3bobo109bobo$15bobo16b2o3bo31bobo
76bobo$15bobo54b2o75b2ob3o$16bo55bo64b2o16bo$17b3o70bo46b2o10b2ob3o$
19bo27b2o39b3o58b2obo$47b2o38bo$62b2o23b2o$61bo2bo$62b2obo$15b2o48bo
29b2ob2o$15b2o48b2o29bob2o$50b2o44bo55b2o$34b2o15bo36b2o4b3o46bo8b2o$
34b2o12b3o37b2o3bo3b2o43bobo$48bo44b4o2bo42bo2bo$79b2o15bob2o43b2o$78b
obo12b3o2bo27b2o47bo$78bo13bo5bo26bobo45b3o$77b2o14b5o27bo24b2o20bo$
95bo28b2o24b2o20b2o3$178b2o$178bo$141b2o12b2o19bobo$141b2o12bobo18b2o$
156b2o$152b2o$151bobo$62bo88bo$62b3o85b2o$65bo$64b2o7$74b2o$67b2o5bobo
$67b2o7bo94b2o$76b2o93b2o2$63bo114bo$62bobob2o110b3o$62bobobobo92b2o
18bo$59b2obobobobo2bo89b2o17b2o$59bo2bo2b2ob4o$61b2o4bo$67bobo$68b2o$
161b2o3b2o$160bo2bo2b2o$160bo2bo$161b2o$179b2o$179bo$118bo58bobo$118b
3o56b2o$121bo$120b2o65b2obo$186bo2b2o$125b2o35bo24bo$125b2o4b2o27b3o
21b3ob2obo$120bo11bo26bo23bo2bobob2o$119bobo8bo28b2o22b2o$120b2o8b2o$
132bo$130b2obo48bo$129bobo2bo46bobo$130bo2b2o46bo2bo$112b2o68b2o$112bo
2bo$113b3o9b2o58b2o$118bo6bo59bobo$115b4o7b3o58bo$115bo12bo37b2o13b2o
4b2o$116bo50bo5bo7bo$115b2o47b3o4b3o3b2o3b3o$164bo5bo6bobo5bo$170b2o3b
obob6o$83bo91b2o$84bo96b2o$82b3o96b2o!
It's admittedly odd to use two different snark variants in a gun, don't you think?
Re: Small Four-Digit Prime Period Guns
Posted: June 10th, 2024, 1:34 pm
by confocaloid
Vort wrote: June 10th, 2024, 5:44 am
[...] Here is a cleaner version (gun_2393 from 55005 to 23236):
Code:
Select all
x = 148, y = 157, rule = LifeHistory
[...]
gun_2393 reduced to bounding box area 18392 = 152 x 121 (down from 23236 = 148 x 157), using the same alternating delay component, a recent
4-lane glider shifter, and a Speed Tunnel:
Code:
Select all
x = 152, y = 121, rule = B3/S23
77b2o$73b2obobo9bo$74bobo9b3o$74bob2o7bo$71b2obo10b2o40b2o$71bo2b4o4bo
7b2o35b2o$72b2o3bo3bobo6bobo$74b3o3bo2bo4bobob3o21bo$74bo6b2o5b2o5bo
20b3o$72bobo19b2o12bo10bo$58bo13b2o34b3o7b2o$58b3o50bo$61bo48b2o$60b2o
52b2o$90b2o22b2o$90b2o2$144b2o$143bo2bo$83bo60b2o$82bobo$76b2o4bobo4b
2o$76bo2bo3bo3bo2bo$77b3o7b3o59b2o$101b2o46bobo$75b7o3b7o8bobo47b2o$
75bo6bobo6bo8bo$56b2o18bobob2o3b2obobo8b2o10b2o28b2o$56b2o19b2obo5bob
2o18bo3bo28b2o$82bobo23b4o$81b2ob2o$108b2o$108b2o2$44b2o$44b2o$66b2o
73b2o$66bo74bo$67b3o69bobo$69bo69b2o$63b2o$63bobo$65bo59b2o$65b2o34b2o
21bobo$62bo38b2o21bo$62b5o17b2o37b2o$58b2o6bo18bo$53bo4b2o4bo20bobo51b
2o$52bobo9b2o20b2o51b2o$51bobo$50bo2bobo$50b2o2b4obobob2o49b2o$58b2ob
2obo49b2o$56bo3bo49b2o$56b2obo2b2o46bobo9bo$60b2obo48bo9b3o$112b2o11bo
$124bo$119b2o3b2o$119bo2b2o$120b2o2b2o$122bobo$122bo2bo$123b2o$119b2o$
119b2o3$110b2o$110bobo$111bo$3b2o$4bo$2bo$2b5o14b2o91b2o$7bo13bo55bo
36b2o$4b3o12bobo53b2o32b2o$3bo15b2o55b2o30bobo$3b4o101bo$b2o3bo3b2o95b
2o13b2o$o2b3o4b2o110bo$2obo111b2o6b3o$3bo111b2o8bo$3b2o3$11b2o$12bo$9b
3o$9bo9$42bo108bo$42b3o104bobo$45bo104b2o$44b2o7$54b2o$47b2o5bobo$47b
2o7bo$56b2o2$43bo$42bobob2o$42bobobobo$39b2obobobobo2bo$39bo2bo2b2ob4o
$41b2o4bo$47bobo$48b2o!
: this also slightly reduces
gun_1993 to 12192 = 127 x 96 (down from 12276 = 132 x 93), and probably some other prime-period guns in the family p(1993+16k):
Code:
Select all
x = 127, y = 96, rule = B3/S23
52b2o$48b2obobo9bo$49bobo9b3o$49bob2o7bo$46b2obo10b2o40b2o$46bo2b4o4bo
7b2o35b2o$47b2o3bo3bobo6bobo$49b3o3bo2bo4bobob3o21bo$49bo6b2o5b2o5bo
20b3o$47bobo19b2o12bo10bo$33bo13b2o34b3o7b2o$33b3o50bo$36bo48b2o$35b2o
52b2o$65b2o22b2o$65b2o2$119b2o$118bo2bo$58bo60b2o$57bobo$51b2o4bobo4b
2o$51bo2bo3bo3bo2bo$52b3o7b3o59b2o$76b2o46bobo$50b7o3b7o8bobo47b2o$50b
o6bobo6bo8bo$31b2o18bobob2o3b2obobo8b2o10b2o28b2o$31b2o19b2obo5bob2o
18bo3bo28b2o$57bobo23b4o$56b2ob2o$83b2o$83b2o2$19b2o$19b2o$41b2o73b2o$
41bo74bo$42b3o69bobo$44bo69b2o$38b2o$38bobo$40bo59b2o$40b2o34b2o21bobo
$37bo38b2o21bo$37b5o17b2o37b2o$3b2o28b2o6bo18bo$4bo23bo4b2o4bo20bobo
51b2o$2bo24bobo9b2o20b2o51b2o$2b5o14b2o3bobo$7bo13bo3bo2bobo$4b3o12bob
o3b2o2b4obobob2o49b2o$3bo15b2o12b2ob2obo49b2o$3b4o24bo3bo49b2o$b2o3bo
3b2o19b2obo2b2o46bobo9bo$o2b3o4b2o23b2obo48bo9b3o$2obo83b2o11bo$3bo95b
o$3b2o89b2o3b2o$94bo2b2o$95b2o2b2o$11b2o84bobo$12bo84bo2bo$9b3o86b2o$
9bo84b2o$94b2o3$85b2o$85bobo$86bo$55bobo$55b2o$42bo13bo$42b3o44b2o$45b
o43b2o$44b2o38b2o$83bobo$83bo$82b2o13b2o$97bo$90b2o6b3o$90b2o8bo$54b2o
$47b2o5bobo$47b2o7bo$56b2o2$43bo$42bobob2o$42bobobobo$39b2obobobobo2bo
$39bo2bo2b2ob4o$41b2o4bo73bo$47bobo72bo$48b2o70b3o!
Re: Small Four-Digit Prime Period Guns
Posted: June 10th, 2024, 2:04 pm
by dvgrn
confocaloid wrote: June 10th, 2024, 1:34 pm
gun_2393 reduced to bounding box area 18392 = 152 x 121 (down from 23236 = 148 x 157), using the same alternating delay component, a recent
4-lane glider shifter, and a Speed Tunnel...
Nice! Here's a trivial corollary snipe to fold the trombone slide down into a smaller box, 134x120 = 16080:
Code: Select all
x = 134, y = 120, rule = LifeHistory
59.2A$55.2A.A.A9.A$56.A.A9.3A$56.A.2A7.A$53.2A.A.4B5.2A40.2A$53.A2.4A
4BA4B3.2A34.B2A2B$54.2A2.BA3BABAB5.A.A34.4B$56.3A.2BA2BA2B.BA.A.3A21.
A11.4B3.3B$56.A4.2B2A3B.B2A5.A20.3A8.4B4.5B$54.A.A4.9B6.2A12.A10.A6.14B
$40.A13.2A5.9B6.4B10.3A7.2AB5.14B$40.3A18.9B8.3B12.A6.5B3.16B$43.A16.
9B2.B2.3B.4B10.2A8.5B.16B$42.2A15.30B3.4B2A4.22B$42.5B11.14B2A16B4.2B
2A4.23B$44.4B9.15B2A16B2.7B2.24B4.3B$42.7B7.34B.7B3.24B.7B$42.10B3.4B
2.38B2.23B.B2A5B$41.12B.4B6.B.B.5B3.2B2.19B.25BA2BA5B$39.18B6.2BA2B.B
13.43B2A6B$39.17B7.BABAB17.48B$38.17B3.2A3.BABAB3.2A13.36B.6B.2B$37.17B
4.A.BA3BA3BAB.A12.35B2.8B.B$36.19B4.3AB.3B.B3A13.7B.26B4.6B.B2A$36.18B
7.3B.B.3B13.2AB.3B4.25B8.B3.A.A$35.19B3.7AB.B7A8.A.AB9.25B12.2A$34.19B
4.A2.B2.BA.AB2.B2.A8.A10.5B2.19B4.B$33.5B2A11B7.A.A.2A3.2A.A.A8.2A10.
2A6.20B.B2A$33.5B2A10B9.2A.A5.A.2A18.A3.A6.22B2A$32.18B14.A.A23.4A6.24B
$31.20B12.2A.2A31.25B$31.20B39.2A6.24B$30.18B.B39.B2AB4.22B.B$27.B.20B
41.3B3.10B.12B$26.2AB.18B41.B.B3.8B5.11B$26.2A22B38.14B9.7B$27.2B.17B
.2A36.15B9.8B5.2A$30.15B3.A36.15B9.8B6.A$30.4B.10B4.3A31.16B11.8B2.BA
.A$29.4B3.9B6.A30.16B11.10B.B2A$28.4B4.7B.B2A34.16B12.12B$27.4B5.6B2.
BA.A31.17B2.B10.12B$26.4B6.7B4.A30.23B6.2AB2.9B$25.4B7.7B4.2A28.6B2A17B
4.A.AB2.8B$24.4B9.7BA30.8B2A16B5.A4.8B2.2B$23.4B10.5B2.5A17.2A7.27B3.
2A4.8B.4B$22.4B12.2B2A6.A18.A6.28B8.14B$21.4B10.AB.2B2AB3.A20.A.AB.28B
10.11B2AB$20.4B10.A.A6B3.2A20.2AB.28B10.11B2A2B$19.4B10.A.A.3B.B28.24B
2.B.B12.14B$18.4B10.A2.A.A2.3B27.23B2.3B15.11B$17.4B11.2A2.4A.A.A.2A23.
23B2.B2AB13.13B$16.4B20.2A.2A.A24.21B4.2A13.14B$3.2A10.4B19.A3.A29.16B
.B.B2A17.14B$4.A9.4B20.2A.A2.2A27.16B2.BA.A9.A7.13B$2.A10.4B25.2A.A27.
11B2.2B6.A9.3A3.14B$2.5A5.4B5.2A50.10B11.2A11.A2.9B$7.A4.4B5.A52.9B23.
A2.10B$4.3AB2.7B.BA.A53.7B19.2A3.2A11B$3.A.2B3.7B.B2A53.4B.B21.A2.2A2.
11B$3.4A12B54.4B25.2A2.2A10B$.2A2.BA3B2A7B53.4B28.A.A.B.8B$A2.3AB.2B2A
7B38.A13.4B29.A2.A3.6B$2A.A.B3.10B38.3A10.4B31.2A5.4B$3.A8.8B40.A8.4B
28.2A8.4B$3.2A7.9B38.2A7.4B28.B2AB6.4B$13.3B2.4B37.5B3.4B29.4B5.4B$11.
5B3.4B38.BAB.5B31.2B5.4B$11.2A7.4B27.2A7.B3A5B23.2A7.4B2.4B$12.A8.4B26.
A8.5A3B24.A.A5.5B.4B$9.3A10.4B22.2A.A.B3.2BA5BAB26.A.14B$9.A13.4B21.A
2.3AB.2B2A2BA4B27.14B$24.4B21.2A2.BA2B3ABABA3B27.14B$25.4B22.4A3B2A2B
A4B27.15B$26.4B21.A.2B3.BA5B.B2A24.3B2A12B$27.4B21.3AB2.2B4AB.BA.A23.
3B2A13B$28.4B23.A4.B3A5.A21.2AB.11B2.4B$29.4B17.5A5.2BAB5.2A19.A.AB2.
8B5.4B$30.4B16.A10.4B25.A5.10B4.4B$31.4B17.A9.4B13.A9.2A5.B.B5.2A5.4B
$32.4B15.2A10.4B10.3A17.3B4.A7.4B$33.4B27.4B8.A19.B2AB5.3A5.4B$34.4B27.
4B7.2A19.2A8.A6.4B$35.4B27.4B3.5B37.4B$36.4B27.4B2.3B40.4B$37.4B27.9B
7.2A31.4B$38.4B27.8B8.A32.4B$39.4B27.10B3.B.A.2A30.4B$40.4B26.7B2A2B.
B3A2.A31.4B$41.4B25.7B2A3BAB2.2A33.4B$42.4B24.12B4A36.4B$43.4B21.2AB.
7B3.2B.A37.4B$44.4B19.A.AB.7B2.B3A39.4B$45.4B18.A5.4B4.A43.4B$46.4B16.
2A5.4B5.5A39.4B$47.4B21.4B10.A40.4B$48.4B19.4B9.A43.4B$49.4B6.A10.4B10.
2A43.4B$50.4B5.3A7.4B57.3BA$51.4B7.A5.4B59.ABA$52.4B5.2A4.4B61.2A$53.
4B4.9B$54.4B5.6B$55.4B2.8B$56.15B$57.14B$58.13B$59.10B.B2A$60.4B2AB3.
BA.A$61.3B2AB6.A$63.4B6.2A$63.3B$60.AB.2B$59.A.AB2AB$59.A.ABABAB$56.2A
.A.A.A.A2.A$56.A2.A2.2A.4A$58.2A4.A$64.A.A$65.2A!
There might be a way to add another two Snarks to cut a another row or column or two off -- I tried, but it didn't seem to fit without some welding. It might also help to fold the trombone slide into a self-crossing loop.
Re: Small Four-Digit Prime Period Guns
Posted: June 10th, 2024, 2:47 pm
by Anivec
dvgrn wrote: June 10th, 2024, 2:04 pm
Nice! Here's a trivial corollary snipe to fold the trombone slide down into a smaller box, 134x120 = 16080:
Code: Select all
x = 134, y = 120, rule = LifeHistory
59.2A$55.2A.A.A9.A$56.A.A9.3A$56.A.2A7.A$53.2A.A.4B5.2A40.2A$53.A2.4A
4BA4B3.2A34.B2A2B$54.2A2.BA3BABAB5.A.A34.4B$56.3A.2BA2BA2B.BA.A.3A21.
A11.4B3.3B$56.A4.2B2A3B.B2A5.A20.3A8.4B4.5B$54.A.A4.9B6.2A12.A10.A6.14B
$40.A13.2A5.9B6.4B10.3A7.2AB5.14B$40.3A18.9B8.3B12.A6.5B3.16B$43.A16.
9B2.B2.3B.4B10.2A8.5B.16B$42.2A15.30B3.4B2A4.22B$42.5B11.14B2A16B4.2B
2A4.23B$44.4B9.15B2A16B2.7B2.24B4.3B$42.7B7.34B.7B3.24B.7B$42.10B3.4B
2.38B2.23B.B2A5B$41.12B.4B6.B.B.5B3.2B2.19B.25BA2BA5B$39.18B6.2BA2B.B
13.43B2A6B$39.17B7.BABAB17.48B$38.17B3.2A3.BABAB3.2A13.36B.6B.2B$37.17B
4.A.BA3BA3BAB.A12.35B2.8B.B$36.19B4.3AB.3B.B3A13.7B.26B4.6B.B2A$36.18B
7.3B.B.3B13.2AB.3B4.25B8.B3.A.A$35.19B3.7AB.B7A8.A.AB9.25B12.2A$34.19B
4.A2.B2.BA.AB2.B2.A8.A10.5B2.19B4.B$33.5B2A11B7.A.A.2A3.2A.A.A8.2A10.
2A6.20B.B2A$33.5B2A10B9.2A.A5.A.2A18.A3.A6.22B2A$32.18B14.A.A23.4A6.24B
$31.20B12.2A.2A31.25B$31.20B39.2A6.24B$30.18B.B39.B2AB4.22B.B$27.B.20B
41.3B3.10B.12B$26.2AB.18B41.B.B3.8B5.11B$26.2A22B38.14B9.7B$27.2B.17B
.2A36.15B9.8B5.2A$30.15B3.A36.15B9.8B6.A$30.4B.10B4.3A31.16B11.8B2.BA
.A$29.4B3.9B6.A30.16B11.10B.B2A$28.4B4.7B.B2A34.16B12.12B$27.4B5.6B2.
BA.A31.17B2.B10.12B$26.4B6.7B4.A30.23B6.2AB2.9B$25.4B7.7B4.2A28.6B2A17B
4.A.AB2.8B$24.4B9.7BA30.8B2A16B5.A4.8B2.2B$23.4B10.5B2.5A17.2A7.27B3.
2A4.8B.4B$22.4B12.2B2A6.A18.A6.28B8.14B$21.4B10.AB.2B2AB3.A20.A.AB.28B
10.11B2AB$20.4B10.A.A6B3.2A20.2AB.28B10.11B2A2B$19.4B10.A.A.3B.B28.24B
2.B.B12.14B$18.4B10.A2.A.A2.3B27.23B2.3B15.11B$17.4B11.2A2.4A.A.A.2A23.
23B2.B2AB13.13B$16.4B20.2A.2A.A24.21B4.2A13.14B$3.2A10.4B19.A3.A29.16B
.B.B2A17.14B$4.A9.4B20.2A.A2.2A27.16B2.BA.A9.A7.13B$2.A10.4B25.2A.A27.
11B2.2B6.A9.3A3.14B$2.5A5.4B5.2A50.10B11.2A11.A2.9B$7.A4.4B5.A52.9B23.
A2.10B$4.3AB2.7B.BA.A53.7B19.2A3.2A11B$3.A.2B3.7B.B2A53.4B.B21.A2.2A2.
11B$3.4A12B54.4B25.2A2.2A10B$.2A2.BA3B2A7B53.4B28.A.A.B.8B$A2.3AB.2B2A
7B38.A13.4B29.A2.A3.6B$2A.A.B3.10B38.3A10.4B31.2A5.4B$3.A8.8B40.A8.4B
28.2A8.4B$3.2A7.9B38.2A7.4B28.B2AB6.4B$13.3B2.4B37.5B3.4B29.4B5.4B$11.
5B3.4B38.BAB.5B31.2B5.4B$11.2A7.4B27.2A7.B3A5B23.2A7.4B2.4B$12.A8.4B26.
A8.5A3B24.A.A5.5B.4B$9.3A10.4B22.2A.A.B3.2BA5BAB26.A.14B$9.A13.4B21.A
2.3AB.2B2A2BA4B27.14B$24.4B21.2A2.BA2B3ABABA3B27.14B$25.4B22.4A3B2A2B
A4B27.15B$26.4B21.A.2B3.BA5B.B2A24.3B2A12B$27.4B21.3AB2.2B4AB.BA.A23.
3B2A13B$28.4B23.A4.B3A5.A21.2AB.11B2.4B$29.4B17.5A5.2BAB5.2A19.A.AB2.
8B5.4B$30.4B16.A10.4B25.A5.10B4.4B$31.4B17.A9.4B13.A9.2A5.B.B5.2A5.4B
$32.4B15.2A10.4B10.3A17.3B4.A7.4B$33.4B27.4B8.A19.B2AB5.3A5.4B$34.4B27.
4B7.2A19.2A8.A6.4B$35.4B27.4B3.5B37.4B$36.4B27.4B2.3B40.4B$37.4B27.9B
7.2A31.4B$38.4B27.8B8.A32.4B$39.4B27.10B3.B.A.2A30.4B$40.4B26.7B2A2B.
B3A2.A31.4B$41.4B25.7B2A3BAB2.2A33.4B$42.4B24.12B4A36.4B$43.4B21.2AB.
7B3.2B.A37.4B$44.4B19.A.AB.7B2.B3A39.4B$45.4B18.A5.4B4.A43.4B$46.4B16.
2A5.4B5.5A39.4B$47.4B21.4B10.A40.4B$48.4B19.4B9.A43.4B$49.4B6.A10.4B10.
2A43.4B$50.4B5.3A7.4B57.3BA$51.4B7.A5.4B59.ABA$52.4B5.2A4.4B61.2A$53.
4B4.9B$54.4B5.6B$55.4B2.8B$56.15B$57.14B$58.13B$59.10B.B2A$60.4B2AB3.
BA.A$61.3B2AB6.A$63.4B6.2A$63.3B$60.AB.2B$59.A.AB2AB$59.A.ABABAB$56.2A
.A.A.A.A2.A$56.A2.A2.2A.4A$58.2A4.A$64.A.A$65.2A!
There might be a way to add another two Snarks to cut a another row or column or two off -- I tried, but it didn't seem to fit without some welding. It might also help to fold the trombone slide into a self-crossing loop.
Maybe try using different reflectors so that the delay is the same with the reflectors but the bounding box is different
Re: Small Four-Digit Prime Period Guns
Posted: June 11th, 2024, 12:42 pm
by confocaloid
gun_2393 in 127x120 = 15240 (down from 134x120 = 16080), submitted and processed in
jobs/7072912127.
Code:
Select all
x = 127, y = 120, rule = B3/S23
50b2o$46b2obobo9bo$47bobo9b3o$47bob2o7bo$44b2obo10b2o40b2o$44bo2b4o4bo
7b2o35b2o$45b2o3bo3bobo6bobo$47b3o3bo2bo4bobob3o21bo$47bo6b2o5b2o5bo
20b3o$32bo12bobo19b2o12bo10bo$32b3o10b2o34b3o7b2o$35bo48bo$34b2o47b2o$
87b2o$63b2o22b2o$63b2o2$117b2o$116bo2bo$56bo60b2o$55bobo$49b2o4bobo4b
2o$49bo2bo3bo3bo2bo$50b3o7b3o59b2o$74b2o46bobo$48b7o3b7o8bobo47b2o$30b
2o16bo6bobo6bo8bo$30b2o17bobob2o3b2obobo8b2o10b2o28b2o$50b2obo5bob2o
18bo3bo28b2o$55bobo23b4o$54b2ob2o$81b2o$81b2o$18b2o$18b2o$40b2o$40bo
73b2o$41b3o70bo$43bo68bobo$37b2o41b2o30b2o$37bobo40b2o$39bo$39b2o57b2o
$36bo37b2o21bobo$3b2o31b5o33b2o21bo$4bo27b2o6bo16b2o37b2o$2bo24bo4b2o
4bo19bo$2b5o14b2o3bobo9b2o18bobo$7bo13bo3bobo31b2o53b2obo$4b3o12bobo2b
o2bobo84bob2o$3bo15b2o3b2o2b4obobob2o$3b4o25b2ob2obo48b2o18b2o$b2o3bo
3b2o18bo3bo52b2o18b2o$o2b3o4b2o18b2obo2b2o45b2o$2obo30b2obo45bobo$3bo
81bo$3b2o49bo30b2o$54b3o$57bo$11b2o43b2o39b2o$12bo85bo$9b3o86bobo$9bo
38b2o49b2o$48bo$45b2obo$45bo2b3o4b2o$46b2o3bo3b2o$48b4o65b2o$48bo15b2o
51bo$49b3o12bobo48bobo$52bo13bo48b2o$47b5o14b2o$47bo$49bo$48b2o8$85bo
11b2o15b2o$83b3o10bobo15b2o$82bo13bo25b2o$82b2o11b2o25bo$75bo44bobo$
76bo43b2o$74b3o13b2o$91bo$91bob2o$83b2o4b3o2bo7bo$83b2o3bo3b2o8b3o$88b
4o13bo$74b2o15bo12b2o$69b2o2bobo12b3o$70bo2bo13bo$68bo2b3o14b5o$68b3o
21bo$71bo18bo$70b2o18b2o33b2o$98b2o25bo$99bo23bobo$99bobo21b2o$100b2o
11b2o$113b2o2$80b2o$73b2o5bobo$73b2o7bo$82b2o$126bo$69bo54bobo$68bobob
2o51b2o$68bobobobo$65b2obobobobo2bo$65bo2bo2b2ob4o$67b2o4bo$73bobo$74b
2o!
#C [[ MAXGRIDSIZE 9 THEME LifeHistory ]]
Re: Small Four-Digit Prime Period Guns
Posted: June 13th, 2024, 11:40 am
by Vort
confocaloid wrote: June 6th, 2024, 4:15 pm
p9973 glider gun, bounding box 192x162:
More trombones, more Bandersnatches!
Code:
Select all
x = 168, y = 162, rule = LifeHistory
29.3B81.A$28.5B6.2A71.A.A$27.6B6.A72.A.3A$10.2A14.7B8.A67.2A.A4.A$10.
A2.A8.2A.8B7.2A67.A.A.ABABA$12.2A8.A.9B4.BAB2.2A21.A45.A.A.2A4.2A$8.
4A11.A.9B3.B4A2.A19.A.A36.2A5.ABA4B4.A$8.A3.4A4.3A3.14B2.2A20.A.A7.2A
26.B2AB2.3BA2B4.BA.A$10.A.A2.A4.A4.15B2A20.3A.2A5.B2AB26.2B2.5B4.B.B
2A$9.2A2B.B11.13B2.A19.A4.B6.3B5.2A21.2B.6B2.4B$8.A2.A7B7.13B2.A.A18.
3AB2AB5.B2.B2.B2AB19.16B$6.A2.ABA4B2ABA3.15B4.2A20.A.2AB.14B18.6B2A9B
$6.2A.A.2A2BA3BAB.17B27.17B18.6BA2BA6BABA$9.A.B.2A19B2.4B27.17B16.2BA
5B2A6B.B2AB$9.A.2ABA3B2A2B2A10B3.4B26.18B14.3BA12B3.A3B$8.2A.A.B3A6B
2A9B4.4B24.11BA8B12.15B6.4B$11.A.B.7B2A10B5.4B23.10BABA7B11.4B.8BA2B
7.4B$11.2A2.7BA10B7.4B23.8BA2BA7B.B8.4B3.8BAB8.4B$15.9B.7B9.4B23.8B2A
9B2A6.4B5.7BA3B7.4B$14.2B2A4B7.B12.4B21.18B.B2A5.4B5.2B2.8B.2A5.4B$
14.BA5B22.4B20.16B4.B5.4B6.2AB2.7BA.A6.4B$13.3B2A6B20.4B18.17B9.4B3.
2A.A.A5.B.2B.2A8.4B$13.12B20.4B16.2A19B5.4B4.A.2A.A.A2.3B2.B11.4B$13.
12B21.4B15.2A20B3.4B11.2A2.B2AB2.4A3.2A3.4B$14.11B22.4B15.21B2.4B17.
2A4.A2.A3.A4.4B$12.4B.8B23.4B15.19B2.4B22.A3.2A2.A6.4B$12.2A4.7B24.4B
10.A4.23B23.2A6.2A4.6B3.B$13.A4.7B25.4B7.3A4.13B.8B34.AB.8B.B2A$10.3A
6.6B26.4B5.A7.21B33.3A12B2A$10.A8.7B26.4B4.2A5.4B.15B34.A2.B.10B.B$
19.8B26.9B4.4B3.6B2.4B36.2A3.9B$20.5BABA26.6B5.4B7.3B3.3B40.7BA4B$20.
6B2AB25.8B2.4B8.5B43.7BABA4B$19.6B.A3B22.15B11.B2A40.2B.7BABA4B2.2A$
19.7B.4B21.14B13.A40.2A10BA5BA2.A$3.2A15.6B2.4B20.13B15.3A37.2AB.13BA
B2A$4.A8.B4.8B3.4B17.2AB.10B18.A38.B.13B.BA2.3A$4.A.AB3.4B.6B2AB5.4B
15.A.AB3.B2A3B61.4B3.5B2.2B2A3.A$5.2AB.13B2A2B5.4B14.A6.B2A3B56.2A2.B
.3B3.5B3.B.B.2A$7.18B7.4B12.2A6.4B58.A2.A.2A6.5B2.B2A.A$7.17B9.4B20.
3B60.2A.A.A6.5B.BAB.A$8.13B13.4B20.2B.BA58.A2.2A5.5B4.2A$10.12B13.4B
18.B2ABA.A55.A.A8.8B$12.10B14.4B16.BABABA.A55.2A8.4B3.2A$12.11B14.4B
13.A2.A.A.A.2A63.4B4.A$13.2B.7B15.4B12.4A.2A2.A44.A18.4B6.3A$13.11B
15.4B15.A4.A44.3A15.4B9.A$12.11B17.4B10.2A2.A.3A48.A13.4B$3.2A7.11B
18.4B9.2A3.2A49.2AB11.4B$2.A2.A2.2A2.11B19.4B64.5B8.4B$3.2A2.A.A2.8B
2.B2A18.4B59.3B3.3B7.4B$5.2A.B3.7B3.BA.A18.4B58.4B2.6B3.4B$5.A2.2B2.
7B6.A19.4B55.15B.4B$2.2A.A.BA2B.6B7.2A19.4B38.A13.21B$2.A.2A.A.A8B29.
4B37.3A10.8B.13B$6.A.A.8B30.4B39.A8.23B$3.2A2.A4.5B32.4B37.2A7.4B2.
19B$.3A.2A4.6B33.4B36.5B3.4B2.21B$A4.B6.6B33.4B37.3B2.4B3.20B2A$.3AB
2AB3.7B34.4B23.2A.2A7.9B5.19B2A$3.A.2AB.8B36.4B22.2A.A8.8B9.17B$7.10B
37.4B24.A.B3.10B5.B4.16B$7.6B2A3B37.4B23.3AB.2B2A7B4.2AB.18B$7.6B2A2B
5.2A32.4B20.2A2.BA3B2A7B4.2A9B2A8B$7.10B5.A34.4B18.A2.4A12B5.B.7BA2BA
8B$6.11B2.BA.A35.4B17.2A.A.2B3.7B.B2A5.7BABA10B$6.12B.B2A37.4B17.A2.
3AB2.7B.BA.A4.8BA11B$5.15B40.4B16.A5.A4.4B5.A5.18B$4.16B23.A11.2A4.4B
16.5A5.4B5.2A5.17B$.2B.16B22.A.A9.B2AB4.4B17.A8.4B12.17B$2A18B10.A3.A
3.2A2.A.A9.3B6.4B26.4B10.14B.B2A.A$2AB.17B7.3A2.A.A2.A2.2A.2A9.B.B6.
4B26.4B9.B2AB2.B2.B5.B2AB3A$.B.4B.8B2.4B5.A5.A.A3.A.A2.B8.5B7.4B26.4B
9.2A5.3B6.B4.A$8.7B4.7B.2A5.A.4A2.AB2A6.6B8.4B26.4B14.B2AB5.2A.3A$9.
6B5.9B7.A3.A.A.2A4.8B9.4B26.4B14.2A7.A.A$11.4B6.6B8.A2.BA.A2.13B11.4B
26.4B22.A.A$13.3BA5.5B7.A.2BA.A5.13B10.4B26.4B22.A$14.BA.A3.7B6.2A.2B
A5.15B10.4B26.4B25.A$15.A.A4.6B10.3B4.15B11.4B13.A12.4B23.A.A$16.A5.
7B10.2B.B.17B11.4B10.3A13.4B22.A.A$17.3A2.8B2.29B12.4B8.A17.4B20.2A.
3A$19.A2.25B2A13B12.4B7.2A17.4B7.2A11.B4.A$22.25B2A14B12.4B3.5B18.4B
5.B2AB4.2B2.B2AB3A$21.37B3.B2A12.4B2.3B21.4B3.7B.6B2A.A$21.36B4.A2.A
12.9B7.2A.2A9.22B$16.B4.20B2.2B2.B3.6B5.2A.A12.8B8.A.2A10.19B$15.2AB.
21B12.6B7.A13.10B3.B.A14.19B$15.2A24B9.9B6.2A12.7B2A2B.B3A15.18B$16.B
.23B9.2A4.4B19.7B2A3BAB2.2A12.19B$19.15B2A7B8.A5.4B18.12B4A2.A10.20B.
2B$19.15B2A8B4.3A7.4B15.2AB.7B3.2B.A.2A10.22B2A$19.25B4.A10.4B13.A.AB
.7B2.B3A2.A11.13BA6B.B2A$19.12B4.8B17.4B12.A5.4B4.A5.A9.14BABA5B2.B$
18.11B6.8B18.4B10.2A5.4B5.5A10.14BA2BA5B22.A$17.13B6.3B.4B18.4B15.4B
8.A11.16B2A5B21.3A$18.12B11.4B18.4B13.4B20.2AB2.19B20.A$19.10B13.4B
18.4B11.4B20.A.AB2.20B19.2A$19.9B15.4B18.4B9.4B21.A4.3B.16B2A14.6B$
19.9B16.4B18.4B7.4B21.2A3.21B2A11.7B$19.9B17.4B18.4B5.4B27.10B2.7B.2B
11.9B5.2A$22.5B19.3BA18.4B3.4B28.10B2.6B14.11B4.A$23.4B20.B2AB18.4B.
4B31.8B3.4B7.2A3.16BA.A$23.4B21.ABAB18.7B32.4B.2B3.2B9.BA.A18B2A$24.
4B21.4B18.5B34.3B5.B2AB8.2B2A18B$25.4B21.4B6.A10.5B34.4B5.2A7.2AB.20B
$26.4B21.4B5.3A7.7B34.4B12.A.AB4.17B$27.4B21.4B7.A5.4B.4B34.4B11.A7.
17B$28.4B21.4B5.2A4.4B3.4B34.4B9.2A6.18B$29.4B21.4B4.9B5.4B34.4B15.5B
.12B$30.4B21.4B5.6B7.4B34.4B13.4B4.B.8B$31.4B21.4B2.8B8.4B34.4B11.4B
7.7B$32.4B21.15B7.4B34.4B9.4B8.7B$33.4B21.14B8.4B34.4B7.4B9.7B$34.4B
21.13B9.4B34.4B5.4B10.8B$35.4B21.10B.B2A8.4B34.4B3.4B12.8B$36.4B22.3B
2AB3.BA.A8.4B34.4B.4B12.9B$37.4B21.3B2AB6.A9.4B34.7B13.9B$38.4B22.4B
6.2A9.4B34.5B14.10B$39.4B21.3B19.4B33.5B14.5B2A3B$40.4B17.AB.2B21.4B
31.7B13.5B2A4B$41.4B15.A.AB2AB21.4B29.4B.4B12.11B$42.4B14.A.ABABAB21.
4B27.4B3.4B11.12BA$43.4B10.2A.A.A.A.A2.A20.4B25.4B5.4B12.8B2.3A$44.4B
9.A2.A2.2A.4A21.4B11.A11.4B7.4B4.2A5.7B6.A$45.4B10.2A4.A26.4B10.3A8.
4B9.4B2.B2AB4.6B6.2A$46.4B15.A.A25.4B12.A6.4B11.4B.3B5.6B$47.4B15.2A
26.4B10.2A5.4B13.4B.B5.8B$48.4B43.4B9.5B.4B15.8B.8B$49.4B43.4B10.3B2A
2B16.17B$50.4B43.4B8.4B2AB3.2A11.5B2A3B2A6B$51.4B43.4B5.BA7B4.A11.4BA
2BA2B2A7B$52.4B43.4B3.BABA7B.A14.3BA2BA10B$53.4B43.4B.3B2A8B2A14.3B2A
3B.7B$54.4B43.16B3.A14.16B4.2A$55.4B43.16B2A.A14.3B.10B5.A$56.4B43.
12B.BA.A2.A13.3B2.9B2.BA.A$57.4B43.10B3.BA2.2A14.B3.9B2.B2A$58.4B38.
2A2.9B27.13B$59.4B37.A2.AB5.5B25.13B10.2A.A$60.4B37.3AB8.2A24.14B9.A
2.2A$61.4B41.A6.A24.A13B11.A$62.4B37.4A7.3A19.3A.12B8.3A.2A.A$63.4B
36.A12.A18.A5.5B.5B7.A2.A.A.2A$64.4B36.A30.2A6.2B2.6B5.B2A3B$65.4B34.
2A42.7B4.4B$66.4B76.14B$67.4B74.13BA2B$68.4B69.16BABAB$69.4B67.17BA2B
A$70.4B66.18B2AB$71.4B65.21B$72.4B66.17B.B2A$73.4B67.13B3.BA.A$74.4B
64.4B3.10B4.A$75.4B63.2A6.4B3.2A4.2A$76.4B63.A5.A3.2B2.A$77.4B59.3A4.
3A2.B2A3.3A$78.4B58.A5.A6.A.A5.A$79.4B63.2A3.A.A.6A$80.3BA67.2A$81.3B
A72.2A$82.3AB71.2A!
Turned out, one Bandersnatch can be removed:
Code:
Select all
x = 163, y = 140, rule = LifeHistory
29.3B89.A$28.5B6.2A36.A42.A.A$27.6B6.A36.A.A41.A.3A$10.2A14.7B8.A34.A
.A7.2A29.2A.A4.A$10.A2.A8.2A.8B7.2A32.3A.2A5.B2AB28.A.A.ABABA$12.2A8.
A.9B4.BAB2.2A29.A4.B6.3B5.2A24.A.A.2A4.2A$8.4A11.A.9B3.B4A2.A29.3AB2A
B5.B2.B2.B2AB15.2A5.ABA4B4.A$8.A3.4A4.3A3.14B2.2A32.A.2AB.14B14.B2AB
2.3BA2B4.BA.A$10.A.A2.A4.A4.15B2A36.17B16.2B2.5B4.B.B2A$9.2A2B.B11.
13B2.A37.17B16.2B.6B2.4B$8.A2.A7B7.13B2.A.A35.18B14.16B$6.A2.ABA8B3.
15B4.2A34.11BA8B12.6B2A9B$6.2A.A.2A8B.17B39.10BABA7B11.6BA2BA9B$9.A.B
.21B2.4B39.8BA2BA7B.B8.8B2A6B.4B$9.A.2A21B3.4B39.8B2A9B2A6.16B3.4B$8.
2A.A.21B4.4B37.18B.B2A5.15B6.4B$11.A.B.19B5.4B36.16B4.B5.4B.11B7.4B$
11.2A2.18B7.4B34.17B9.4B3.10B8.4B$15.9B.7B9.4B32.2A19B5.4B5.11B7.4B$
14.8B7.B12.4B23.2A6.2A20B3.4B5.2B2.8B.2A5.4B$14.7B22.4B22.A3.2A3.21B
2.4B6.2AB2.7BA.A6.4B$13.11B20.4B17.2A4.A2.A4.19B2.4B3.2A.A.A5.B.2B.2A
8.4B$13.12B20.4B11.2A2.B2AB2.4A6.23B4.A.2A.A.A2.3B2.B11.4B$13.12B21.
4B4.A.2A.A.A2.3B2.B10.13B.8B11.2A2.B2AB2.4A3.2A3.4B$14.11B22.4B3.2A.A
.A5.B.2B.2A8.21B17.2A4.A2.A3.A4.4B$12.4B.8B23.4B6.2AB2.7BA.A6.4B.15B
23.A3.2A2.A6.4B$12.2A4.7B24.4B5.2B2.8B.2A5.4B3.6B2.4B25.2A6.2A4.6B3.B
$13.A4.7B25.4B5.4B2A5B7.4B7.3B3.3B35.AB.8B.B2A$10.3A6.6B26.4B3.6BABAB
8.4B8.5B37.3A12B2A$10.A8.7B26.4B.11B7.4B11.B2A36.A2.B.10B.B$19.8B26.
3BABA5BA3B6.4B13.A37.2A3.9B$20.8B26.3B2A7BA3B3.4B15.3A38.7BA4B$20.9B
26.2B2A7BA4B.4B18.A37.7BABA4B$19.6B.4B26.3B4ABA6B2A2B54.2B.7BABA4B2.
2A$19.7B.4B26.5BA9B2A54.2A10BA5BA2.A$3.2A15.6B2.4B26.13BA2B54.2AB.13B
AB2A$4.A8.B4.8B3.4B26.2B.6B2.4B55.B.13B.BA2.3A$4.A.AB3.4B.6B2AB5.4B
24.2B2.5B4.B.B2A55.4B3.5B2.2B2A3.A$5.2AB.13B2A2B5.4B22.B2AB2.3BA2B4.B
A.A49.2A2.B.3B3.5B3.B.B.2A$7.11BA6B7.4B22.2A5.ABA4B4.A49.A2.A.2A6.5B
2.B2A.A$7.10BABA4B9.4B29.A.A.2A4.2A50.2A.A.A6.5B.BAB.A$8.8B2AB2A13.4B
26.A.A.ABABA56.A2.2A5.5B4.2A$10.7BAB2AB13.4B25.2A.A4.A46.A7.A.A8.8B$
12.2B2A2B3AB14.4B27.A.3A47.3A5.2A8.4B3.2A$12.7BA3B14.4B26.A.A52.A13.
4B4.A$13.2B.2BA4B15.4B26.A52.2AB11.4B6.3A$13.4B2A5B15.4B78.5B8.4B9.A$
12.8BABA17.4B73.3B3.3B7.4B$3.2A7.8B2AB18.4B72.4B2.6B3.4B$2.A2.A2.2A2.
11B19.4B69.15B.4B$3.2A2.A.A2.8B2.B2A18.4B66.21B$5.2A.B3.7B3.BA.A18.4B
64.8B.13B$5.A2.2B2.7B6.A19.4B62.23B$2.2A.A.BA2B.A5B7.2A19.4B60.4B2.
19B$2.A.2A.A.A2BABA3B29.4B58.4B2.21B$6.A.A.2B2A4B30.4B56.4B3.20B2A$3.
2A2.A4.5B32.4B54.4B5.19B2A$.3A.2A4.6B33.4B38.A13.4B9.17B$A4.B6.6B33.
4B37.3A10.4B5.B4.16B$.3AB2AB3.7B34.4B39.A8.4B5.2AB.18B$3.A.2AB.8B36.
4B37.2A7.4B6.2A9B2A8B$7.10B37.4B36.5B3.4B8.B.7BA2BA8B$7.6B2A3B37.4B
37.3B2.4B11.7BABA10B$7.6B2A2B5.2A32.4B23.2A.2A7.9B12.8BA11B$7.10B5.A
34.4B22.2A.A8.8B14.18B$6.11B2.BA.A35.4B24.A.B3.10B16.17B$6.12B.B2A37.
4B23.3AB.2B2A7B17.17B$5.15B40.4B20.2A2.BA3B2A7B16.14B.B2A.A$4.16B23.A
11.2A4.4B18.A2.4A12B16.B2AB2.B2.B5.B2AB3A$.2B.16B22.A.A9.B2AB4.4B17.
2A.A.2B3.7B.B2A15.2A5.3B6.B4.A$2A18B10.A3.A3.2A2.A.A9.3B6.4B17.A2.3AB
2.7B.BA.A20.B2AB5.2A.3A$2AB.17B7.3A2.A.A2.A2.2A.2A9.B.B6.4B16.A5.A4.
4B5.A21.2A7.A.A8.A$.B.4B.8B2.4B5.A5.A.A3.A.A2.B8.5B7.4B16.5A5.4B5.2A
29.A.A6.3A$8.7B4.7B.2A5.A.4A2.AB2A6.6B8.4B17.A8.4B36.A6.A$9.6B5.9B7.A
3.A.A.2A4.8B9.4B26.4B42.2A$11.4B6.6B8.A2.BA.A2.13B11.4B26.4B37.6B$13.
3BA5.5B7.A.2BA.A5.13B10.4B26.4B33.7B$14.BA.A3.7B6.2A.2BA5.15B10.4B26.
4B31.9B5.2A$15.A.A4.6B10.3B4.15B11.4B26.4B29.11B4.A$16.A5.7B10.2B.B.
17B11.4B13.A12.4B20.2A3.16BA.A$17.3A2.8B2.29B12.4B10.3A13.4B18.BA.A
18B2A$19.A2.25B2A13B12.BABA8.A17.4B17.2B2A18B$22.25B2A14B12.B2AB7.2A
17.4B14.2AB.20B$21.37B3.B2A12.A3B3.5B18.4B12.A.AB4.17B$21.36B4.A2.A
12.4B2.3B21.4B11.A7.17B$16.B4.20B2.2B2.B3.6B5.2A.A12.9B7.2A12.4B9.2A
6.18B$15.2AB.21B12.6B7.A13.8B8.A13.4B15.5B.12B$15.2A24B9.9B6.2A13.10B
3.B.A.2A11.4B13.4B4.B.8B$16.B.23B9.2A4.4B20.7B2A2B.B3A2.A12.4B11.4B7.
7B$19.15B2A7B8.A5.4B19.7B2A3BAB2.2A14.4B9.4B8.7B$19.15B2A8B4.3A7.4B
18.12B4A17.4B7.4B9.7B$19.25B4.A10.4B15.2AB.7B3.2B.A18.4B5.4B10.8B$19.
12B4.8B17.4B13.A.AB.7B2.B3A20.4B3.4B12.8B$18.11B6.8B18.4B12.A5.4B4.A
24.4B.4B12.9B$17.13B6.3B.4B18.4B10.2A5.4B5.5A20.7B13.9B$18.12B11.4B
18.4B15.4B10.A21.5B14.10B$19.10B13.4B18.4B13.4B9.A23.5B14.5B2A3B$19.
9B15.4B18.4B11.4B10.2A21.7B13.5B2A4B$19.9B16.4B18.4B9.4B33.4B.4B12.
11B$19.9B17.4B18.4B7.4B33.4B3.4B11.12BA$22.5B19.4B18.4B5.4B33.4B5.4B
12.8B2.3A$23.4B20.4B18.4B3.4B33.4B7.4B4.2A5.7B6.A$23.4B21.4B18.4B.4B
33.4B9.4B2.B2AB4.6B6.2A$24.4B21.4B18.7B33.4B11.4B.3B5.6B$25.4B21.4B
18.5B33.4B13.4B.B5.8B$26.4B21.4B6.A10.5B32.4B15.8B.8B$27.4B21.4B5.3A
7.7B30.4B16.17B$28.4B21.4B7.A5.4B.4B28.4B16.5B2A3B2A6B$29.4B21.4B5.2A
4.4B3.4B26.4B17.4BA2BA2B2A7B$30.4B21.4B4.9B5.4B24.4B19.3BA2BA10B$31.
4B21.4B5.6B7.4B10.A11.4B21.3B2A3B.7B$32.4B21.4B2.8B8.4B9.3A8.4B23.16B
4.2A$33.4B21.15B7.4B11.A6.4B25.3B.10B5.A$34.4B21.14B8.4B9.2A5.4B26.3B
2.9B2.BA.A$35.4B21.13B9.4B8.5B.4B28.B3.9B2.B2A$36.4B21.10B.B2A8.4B9.
3B2A2B32.13B$37.4B22.3B2AB3.BA.A8.4B7.4B2AB3.2A28.13B10.2A.A$38.4B21.
3B2AB6.A9.4B4.BA7B4.A27.14B9.A2.2A$39.4B22.4B6.2A9.4B2.BABA7B.A28.A
13B11.A$40.4B21.3B19.7B2A8B2A25.3A.12B8.3A.2A.A$41.4B17.AB.2B21.15B3.
A23.A5.5B.5B7.A2.A.A.2A$42.4B15.A.AB2AB18.2B.15B2A.A22.2A6.2B2.6B5.B
2A3B$43.4B14.A.ABABAB16.2A14B.BA.A2.A33.7B4.4B$44.4B10.2A.A.A.A.A2.A
14.2AB.11B3.BA2.2A32.14B$45.4B9.A2.A2.2A.4A15.B.11B41.13BA2B$46.4B10.
2A4.A21.4B4.5B35.16BABAB$47.4B15.A.A18.5B7.2A34.17BA2BA$48.4B15.2A14.
A2.A.2AB8.A35.18B2AB$49.4B30.4A.A11.3A32.21B$50.4B34.A.A11.A34.17B.B
2A$51.4B30.2A2.2A48.13B3.BA.A$52.4B29.A51.4B3.10B4.A$53.4B29.A50.2A6.
4B3.2A4.2A$54.4B27.2A51.A5.A3.2B2.A$55.4B76.3A4.3A2.B2A3.3A$56.4B75.A
5.A6.A.A5.A$57.4B80.2A3.A.A.6A$58.3BA84.2A$59.3BA89.2A$60.3AB88.2A!
Re: Small Four-Digit Prime Period Guns
Posted: June 17th, 2024, 4:44 pm
by Vort
I lowered maximum area once again, from 69734 to 38218:
- gun_coll_area_v12.png (44.46 KiB) Viewed 9317 times