Small Four-Digit Prime Period Guns

[chris_c]

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)

[dvgrn]

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

[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.

[confocaloid]

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!

[dvgrn]

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.)

[confocaloid]

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.)

Would it be okay if I move these two posts over to the Small Four-Digit Prime Period Guns thread?
...

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 ]]

[dvgrn]

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.

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.

[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.

[confocaloid]

And there are the wild oddities so no scripts will find: (p1493, prime gun)

Code: Select all

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 ]]

[EvinZL]

And there are the wild oddities so no scripts will find: (p1493, prime gun)

Code: Select all

<snip>

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!

[dvgrn]

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!

[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.

[dvgrn]

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.

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?

I 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.

[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.

[confocaloid]

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 ]]

Edit: 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 ]]

Edit 2: 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 ]]

[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!

[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:

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!