Small Four-Digit Prime Period Guns

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
chris_c
Posts: 906
Joined: June 28th, 2014, 7:15 am

Re: Small Four-Digit Prime Period Guns

Post by chris_c » April 1st, 2019, 7:57 am

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)

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dvgrn
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Re: Small Four-Digit Prime Period Guns

Post by dvgrn » April 1st, 2019, 1:56 pm

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

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Extrementhusiast
Posts: 1796
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: Small Four-Digit Prime Period Guns

Post by Extrementhusiast » April 3rd, 2019, 12:22 am

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.
I Like My Heisenburps! (and others)

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