Universality proof question

[c0b0p0]

So, I made something similar to sliding block memory. It is extremely ugly and practically useless, but at least it works, and probably proves that this rule is Turing complete.

Here is a simple A AND NOT B gate. A glider gun can act as a NOT gate in quite a few ways.

Code: Select all

x = 89, y = 146, rule = BTCA1
55.B$55.3B$55.3B$56.3B29$23.B$23.3B$23.3B$24.3B4$.B$3B$.B12$21.3B$20.
2BA2B$20.BABAB$20.2BA2B$21.3B21$23.B$22.3B$21.3BA$22.BA61$87.B$86.3B$
85.3BA$86.BA!

[period54]

Some new patterns:

3 flotillas:

Code: Select all

x = 52, y = 13, rule = BTCA1
$29.3B17.3B$8.3B17.3B17.3B$7.3B18.3B17.3B$7.3B18.B19.B$7.B16.4A19.A$
24.3A18.4A$6.3A15.3A18.2ABA$5.4A15.A19.2AB2A$.3B.3AB12.3B17.3B.3A$3B
2.2AB.2A9.3B17.3B6.A$3B5.A11.3B17.3B$B7.A11.B19.B!

4 oscillators:

Code: Select all

x = 54, y = 9, rule = BTCA1
26.A$26.A19.2B$26.3A11.3A8.3A$2.B7.2A11.3B15.A10.A$2.3B5.2A.B9.3B15.A
2.B4.B2.A$.A2B9.3B7.5B17.4B$.2BA7.2BAB5.3A2.3B13.A3.4B3.A$3B9.3B7.A2.
3B13.A10.A$2.B9.B9.A17.3A8.3A!

[period54]

I've found a gun that produces small gliders.

Code: Select all

x = 32, y = 32, rule = BTCA1
26.A$26.3A$25.3A$27.A5$22.A$20.3A$21.3A$21.A$28.3B$27.2BA2B$27.BABAB$
27.2BA2B$28.3B4$9.A$9.3A$8.3A$10.A2$2.A23.A$3A22.2A$.3A9.3B11.A$.A10.
2BA2B$12.BABAB$12.2BA2B$13.3B!

[praosylen]

A period-doubling reaction for the new gun:

Code: Select all

x = 65, y = 32, rule = BTCA1
4.A55.A$2.3A53.3A$3.3A30.B22.3A$3.A31.3B21.A$36.BA$24.B35.3B$2.B20.3B
34.3B$2.B20.AB33.3BA3B$5B3.A45.A3.2BABA2B$2.B5.3A43.3A.3BA3B$2.B4.3A
43.3A4.3B$9.A45.A4.3B4$4.B$3.BA2B$2.BABA4B$2.3B2A2B$.BA6B$2.3B.B14.A
21.A10.B$13.B5.3A19.3A9.3B$11.3B6.3A19.3A9.BA$11.3B6.A21.A$10.2BA2B$
4.A6.B2AB13.A5.A5.3B15.A$4.2A4.4BAB6.B5.3A3.3A3.3B16.2A$3.A6.3BAB7.B
4.3A3.3A2.3BA3B14.A$10.BA2B6.5B4.A5.A2.2BABA2B$11.B10.B15.3BA3B$22.B
17.3B$40.3B!

[c0b0p0]

Here is the first rake in BTCA1.

Code: Select all

x = 1316, y = 1262, rule = BTCA1
54.B$52.3B.B$51.2B$50.B3A3.B$50.B2AB4.B$38.3B9.5B.A$37.B3AB10.8B$36.
2B4AB9.B3.2BA.B.B$36.2BA3B14.3B.A3B$37.5B15.BA5B$37.3B16.BA8B$37.4B
15.3B.B.BA2B$37.B.B15.2B.B.B.2BAB$37.B.B7.B7.2BAB.5BA$37.B.B5.A2B7.5B
4.A3B$44.A3B7.5B4.B2AB$42.B.4B9.B6.BA2B$42.3B2AB16.3B$45.3B7.4B4.A2.B
4.B7.B$45.3B7.6BA8.3B4.3B$54.B2AB.2BAB6.3BAB5.B$54.3B2.2ABAB6.3B$54.
3B3.3B8.2B$54.3B.B.3B3.B$56.3B.B5.B$56.B7.B.A.B$63.2B.B$63.2BA5$77.B$
77.B3$74.B5.B$72.B.B.B.B.B.B$71.B2A3B.3B2AB$71.4B.B.B.4B$71.2B2A.3B.
2A2B$71.B2A2B3.2B2AB$72.2BABABABA2B$72.4B3.4B$73.B7AB$73.2B2.A2.2B$
73.2B2AB2A2B$73.2B2.A2.2B$74.2B3A2B2$77.B33.B$109.3B$111.B7$91.5B$89.
2B2AB2A2B$89.BA5BAB$89.2BA3BA2B$91.5B$102.BA$101.B3A$101.3A$102.A$
106.BA$105.B3A$105.3A$106.A$110.BA$109.B3A$109.3A$99.BA9.A$98.B3A12.B
A$98.3A12.B3A$99.A13.3A$103.BA9.A$102.B3A12.BA$102.3A12.B3A$103.A13.
3A23.B$107.BA9.A22.3B$106.B3A12.BA19.B$106.3A12.B3A$107.A13.3A$111.BA
9.A$110.B3A12.BA$110.3A12.B3A$111.A9.B3.3A$115.BA3.4B2.A$114.B3A3.BAB
6.BA$114.3A4.4B4.B3A$115.A7.B5.3A$119.BA9.A$118.B3A12.BA$118.3A12.B3A
$119.A9.B3.3A$123.BA3.4B2.A$122.B3A3.BAB$122.3A4.4B$123.A7.B$127.BA$
126.B3A$126.3A$127.A8$175.B$173.3B$175.B30$207.B$205.3B$207.B14$166.B
2$159.B5.2A$158.4B4.2B$158.2BAB2.2BAB$158.BA2B3.3B$159.B4.3B$164.B$
163.4B$142.B17.2B.2B.A3B$161.5BA2B$140.B.A3B14.2B2.3BAB$144.2B14.B3.
5B$143.A2B19.BA2B3.B$164.4B2.4B$162.2B3.6BA$162.B.4BA.B68.B$152.B11.
2BABABAB9.2A54.3B$151.4B9.3B2AB10.A2.B55.B$153.B11.3B2AB5.B6.3B3.B$
151.B2A2B9.B.B2AB9.3BA2B.3B$153.B13.BA3B3.2BA2.6B3.B$151.4B12.ABA2B9.
B.B$152.B16.A3B.B8.B$168.A.6B$170.A.B.3B$176.B$173.A.A2B$170.2B4.B$
166.3B.4BA2B$168.5B.B$174.B11$177.4B13.4B$177.3B15.3B$177.4B13.4B$
180.B.B9.B.B$180.B.3B5.3B.B$182.B9.B$271.B$269.3B$271.B$221.B$219.3B$
221.B6$202.B.B$200.7B$199.BABABABAB$198.B2A5B2AB$198.BA2B3.2BAB$198.
3B5.3B$199.B7.B3$217.A$215.3A$215.3A$214.3A$221.A$219.3A$219.3A$218.
3A$225.A$223.3A$223.3A$214.A7.3A$212.3A14.A73.B$212.3A12.3A71.3B$211.
3A13.3A73.B$218.A7.3A24.B$216.3A14.A17.3B$216.3A12.3A19.B$215.3A13.3A
$222.A7.3A$220.3A4.3B7.A$220.3A4.3B5.3A$219.3A5.3B5.3A$226.A7.3A$224.
3A14.A$224.3A12.3A$223.3A13.3A$230.A7.3A$228.3A14.A$228.3A12.3A$227.
3A13.3A$234.A7.3A$232.3A14.A$232.3A12.3A$231.3A13.3A$238.A7.3A$236.3A
4.3B$236.3A4.3B$235.3A5.3B$242.A$240.3A$240.3A$239.3A2$335.B$333.3B$
335.B$285.B$283.3B$285.B16$317.B$317.3B$316.2BAB$315.2BA2B$315.5B$
311.B4.3B$311.B4.A.B$309.2BAB3.A$309.3B$309.3B3.B$309.3B$310.3B54.B$
321.B43.3B$319.3B45.B$310.B9.3B$320.B$309.A2.3B$309.A2.2AB$305.2B2.A.
4B.B$305.4B2.4B.3B$306.13B$306.5B3.5B$308.B5.3B$316.B$331.B2$324.B5.
2A$323.4B4.2B$323.2BAB2.2BAB$323.BA2B3.3B$324.B4.3B$329.B$328.4B17.B$
307.B17.2B.2B.A3B14.3B$326.5BA2B14.3B$305.B.A3B14.2B2.3BAB16.B$309.2B
14.B3.5B$308.A2B19.BA2B3.B$329.4B2.4B$327.2B3.6BA$327.B.4BA.B$317.B
11.2BABABAB9.2A$316.4B9.3B2AB10.A2.B$318.B11.3B2AB5.B6.3B48.B$316.B2A
2B9.B.B2AB9.3BA2B46.3B$318.B13.BA3B3.2BA2.6B48.B$316.4B12.ABA2B9.B.B$
317.B16.A3B.B8.B$333.A.6B$335.A.B.3B$341.B$338.A.A2B$335.2B4.B$331.3B
.4BA2B$333.5B.B$339.B9$381.B$381.3B$342.4B13.4B17.3B$342.3B15.3B19.B$
342.4B13.4B$345.B.B9.B.B$345.B.3B5.3B.B$347.B9.B4$431.B$429.3B$431.B
6$367.B.B$365.7B$364.BABABABAB$363.B2A5B2AB$363.BA2B3.2BAB$363.3B5.3B
$364.B7.B3$382.A$380.3A$380.3A$379.3A$386.A26.B$384.3A26.3B$384.3A25.
3B$383.3A28.B$390.A$388.3A$388.3A$379.A7.3A$377.3A14.A$377.3A12.3A$
376.3A13.3A$383.A7.3A69.B$381.3A14.A62.3B$381.3A12.3A64.B$380.3A13.3A
$387.A7.3A$385.3A4.3B7.A$385.3A4.3B5.3A$384.3A5.3B5.3A$391.A7.3A$389.
3A14.A$389.3A12.3A$388.3A13.3A$395.A7.3A$393.3A14.A$393.3A12.3A$392.
3A13.3A$399.A7.3A$397.3A14.A$397.3A12.3A$396.3A13.3A$403.A7.3A$401.3A
4.3B34.B$401.3A4.3B34.3B$400.3A5.3B33.3B$407.A38.B$405.3A$405.3A$404.
3A5$495.B$493.3B$495.B19$477.B$477.3B$476.3B$478.B8$527.B$525.3B$527.
B14$621.A$617.A.3A$617.3ABA$616.B2A2B.A$604.A10.BABAB2A$509.B95.2A8.
3AB3.A$509.3B92.2A10.3A2B2A$508.3B91.A13.2A3.2A$510.B89.3A12.2ABAB.2A
$601.2A13.3A.B$614.A.B.B$616.B7.2A$616.A16.A$616.A14.2ABA$632.5A$632.
A.B3A$559.B74.AB2A$557.3B40.A33.4A$559.B38.5A31.3A$598.2ABABA29.5A$
598.BAB3A28.ABAB2A$601.2AB10.3A15.A2BAB$599.A.A.A9.AB2A16.2A$602.A10.
4A$614.A3$647.A2$637.A9.3A$636.AB2A4.5A$635.5A5.2ABA$637.A6.2ABA$644.
3A4$541.B101.A$541.3B97.A.A$540.3B98.A.A.A$542.B98.A.A$643.A4$644.3A$
637.A6.2ABA$635.5A5.2ABA$591.B44.AB2A4.5A$589.3B45.A9.3A$591.B$647.A
5.6A$656.3A3.A$650.A.B.2B3A.4A$650.A2.B6.2AB2A$650.2AB.2A3.2AB3A$650.
3A7.2AB2A$651.3A2B3A.4A$651.3A2.3A3.A$653.6A9$677.3A$573.B103.2A$573.
3B99.2A.A$572.3B$574.B75.3A22.2A.A$651.A25.2A$651.A25.3A$691.AB$690.A
3B$690.3B$680.AB9.B$679.A3B12.AB$623.B55.3B12.A3B$621.3B56.B13.3B$
623.B60.AB9.B$683.A3B12.AB$683.3B12.A3B$684.B13.3B$688.AB9.B$687.A3B
12.AB$687.3B12.A3B$688.B13.3B$692.AB9.B$691.A3B12.AB$691.3B12.A3B$
692.B13.3B$696.AB9.B$695.A3B12.AB$695.3B12.A3B$696.B13.3B$700.AB9.B$
699.A3B5.A6.AB$699.3B5.4A3.A3B$605.B94.B7.A5.3B$605.3B96.AB2.A6.B$
604.3B96.A3B4.A.B5.AB$606.B75.3A18.3B12.A3B$683.A20.B6.B.A4.3B$683.A
24.AB6.A2.B$707.A3B5.A$707.3B4.4A$708.B7.A$712.AB$711.A3B$655.B55.3B$
653.3B56.B$655.B19$637.B$637.3B$636.3B$638.B75.3A$715.A$715.A6$687.B$
685.3B$687.B19$669.B108.A$669.3B102.A.3A$668.3B103.3ABA$670.B75.3A24.
B2A2B.A$747.A13.A10.BABAB2A$747.A14.2A8.3AB3.A$761.2A10.3A2B2A$759.A
13.2A3.2A$757.3A12.2ABAB.2A$758.2A13.3A.B$771.A.B.B$719.B53.B7.2A$
717.3B53.A16.A$719.B53.A14.2ABA$789.5A$789.A.B3A$791.AB2A$757.A33.4A$
755.5A31.3A$755.2ABABA29.5A$755.BAB3A28.ABAB2A$758.2AB10.3A15.A2BAB$
756.A.A.A9.AB2A16.2A$759.A10.4A$771.A3$804.A2$776.4A14.A9.3A$774.6A
13.AB2A4.5A$775.4AB2A10.5A5.2ABA$701.B71.2A2BAB2A13.A6.2ABA$701.3B71.
4AB2A19.3A$700.3B71.6A$702.B69.A3.4A$770.3A$771.3A26.A$766.2A3.A26.A.
A$766.2A30.A.A.A$798.A.A$800.A2$751.B$749.3B$751.B49.3A$794.A6.2ABA$
792.5A5.2ABA$793.AB2A4.5A$794.A9.3A2$804.A5.6A$813.3A3.A$807.A.B.2B3A
.4A$807.A2.B6.2AB2A$807.2AB.2A3.2AB3A$807.3A7.2AB2A$808.3A2B3A.4A$
808.3A2.3A3.A$810.6A5$733.B$733.3B$732.3B$734.B$834.3A$834.2A$798.2A
32.2A.A$798.2A$832.2A.A$834.2A$834.3A$783.B64.AB$781.3B63.A3B$783.B
63.3B$837.AB9.B$836.A3B12.AB$836.3B12.A3B$837.B13.3B$841.AB9.B$840.A
3B12.AB$840.3B12.A3B$841.B13.3B$845.AB9.B$844.A3B12.AB$844.3B12.A3B$
845.B13.3B$849.AB9.B$848.A3B12.AB$848.3B12.A3B$849.B13.3B$853.AB9.B$
852.A3B12.AB$765.B86.3B12.A3B$765.3B85.B13.3B$764.3B90.AB9.B$766.B89.
A3B5.A6.AB$856.3B5.4A3.A3B$857.B7.A5.3B$830.2A29.AB2.A6.B$830.2A28.A
3B4.A.B5.AB$860.3B12.A3B$861.B6.B.A4.3B$865.AB6.A2.B$815.B48.A3B5.A$
813.3B48.3B4.4A$815.B49.B7.A$869.AB$868.A3B$868.3B$869.B15$797.B$797.
3B$796.3B$798.B3$862.2A$862.2A4$847.B$845.3B$847.B19$829.B$829.3B$
828.3B$830.B3$894.2A$894.2A4$879.B$877.3B$879.B19$861.B$861.3B$860.3B
$862.B3$926.2A$926.2A4$911.B$909.3B$911.B19$893.B$893.3B$892.3B$894.B
3$958.2A$958.2A4$943.B$941.3B$943.B19$925.B$925.3B$924.3B$926.B3$990.
2A$990.2A4$975.B$973.3B$975.B19$957.B$957.3B$956.3B$958.B3$1022.2A$
1022.2A4$1007.B$1005.3B$1007.B19$989.B$989.3B$988.3B$990.B$1049.A$
1048.AB2A$1047.AB2A$1045.2A2B2A$1045.3ABA$1030.A13.5A$1045.4A$1029.A.
A7.B6.A$1028.B3.B4.3B$1026.2ABA9.B$1027.2A2B$1027.6A$1029.3A9.A$1039.
3A$1021.3A16.3A$1020.3A9.A6.3A$1020.3A4.A4.A$1020.2A3.B5A.3A$1021.A.A
2.4A$1021.A3.BABAB$1023.2A.B2.A55.A$1024.A.B.A54.3A$1024.B59.3A$1022.
4AB57.A$1023.ABA$1023.3A3$1021.B$1021.3B52.A$1020.3B53.3A8.A$1022.B
52.AB2A6.A.A.A$1074.4ABA7.A$1074.2A2B2A$1074.2AB2A5$1071.B$1069.3B11.
3A$1071.B10.4A$1080.2ABA2B$1072.A8.3ABA$1072.3A6.2AB2A$1071.3A9.2A$
1068.A4.A$1065.4A$1063.4AB2A$1055.A8.AB2A$1065.3A39.A$1054.AB2A2.3A
42.3A$1052.A5.A.3A7.A4.A30.3A$1056.7A5.4A34.A$1051.B6.3A.ABA3.3A3.3A$
1049.3A4.2ABA3.4A.A.A$1050.2A5.2A3.2AB5A$1057.A3.3ABA3B2A$1060.3A3.2A
B2A$1059.4A3.4AB$1051.3A2.6A6.3A$1050.A2B2A.AB2ABA5.4A$1050.2ABABABA
2B2A5.4A51.A$1050.5A3B2A8.3A50.AB2A$1053.2AB2A9.3A51.3A$1053.5A11.A
44.A8.A$1055.A53.3AB4A9.A$1109.4A.8A4.A$1109.ABAB.2A.4ABA.2A$1109.2A
8.7A$1107.2ABAB.2A3.3A2.AB2A$1103.B4.5ABA3.A5.3A$1101.3B5.6AB3A3.2AB
3A$1084.A7.A9.3B7.2A3.A4.3AB2A$1082.3A6.4A7.B9.A9.AB2A.A$1082.3A6.4A.
B14.AB2A8.3A$1081.3A7.AB2A.3B11.A2BA22.AB.A$1091.3A2.2B12.3AB.A14.2A
2.A$1092.2A11.7A2.4A8.A.A.5A$1086.A16.2A2B2A.A5.A9.A.B4ABABA$1084.A.A
14.7AB.B3.BABA7.2ABAB5A$1084.5A5.A6.AB2A2B2.BA.A15.2AB6A$1079.A3.2A2B
2A4.5A2.4A3.B.4A2.5A8.3A$1079.3A.2A2B3A2.2AB4A3.A2.A.A.4A3.3AB2A$
1078.B2A4.AB3A3.4AB7.A.4A4.3AB2A$1076.B3.A4.4A6.3AB6.2AB2A5.2ABAB$
1076.2AB6.4A7.3A.A.2ABA3B2A5.2A$1075.2ABA18.AB3A.2ABAB3A$1076.5A17.8A
3.2A$1076.ABABA22.2A3.B$1077.AB2A22.2A$1078.A26.A.A$1105.A.A3$1144.A$
1142.5A$1140.5A.A$1140.AB6A$1140.5A.A$1097.A41.A2.5A$1097.3A39.2A3.A$
1096.3A39.ABA.A.A$1098.A11.A26.6A$1110.3A22.6A$1109.3A20.5A2B$1111.A
15.A3.3AB2A.2A$1126.9A3B.A$1126.4A.5A3.A$1126.ABAB.A7.A$1127.A.B.A5.A
.B.AB.A$1129.A4.3B2.B5A$1113.A15.2ABA4.AB3AB2A10.A$1113.3A15.A3.8A10.
3A$1112.3A15.A2B4AB3A6.3A3.5A$1114.A16.4A2BA7.2A3BA2.3A$1131.2AB3A6.
2ABA2B2A2.4A$1128.2A4.A8.ABABAB.A.4A2.A3.A$1123.3A2.2A12.A2.3A2.A.A5.
5A$1123.2A2.2B2A7.A4.A3.A2.3AB3.AB3ABA$1122.B3ABAB2A7.2A3.A2.2A3.ABA
4.A3BA$1122.A.B.AB3A6.A2B3.3ABA3.3A5.3A$1122.2AB.4A8.AB3.6AB.B2A$
1122.4AB11.2A.A4.2A2B3A$1123.2A21.A3B2A$1149.B2A$1149.A$1149.2AB.A$
1149.6A$1150.A2BA5.A$1150.3A6.2A$1158.A$1129.A$1129.3A$1128.3A$1130.A
11.A$1142.3A24.A$1141.3A25.A$1143.A24.3A3$1161.A.A$1161.7A$1160.2AB2.
5A$1145.A19.BABA$1145.3A14.A2.B3A$1144.3A16.5A$1146.A16.4ABA2.3A$
1165.2AB3.2A$1166.ABAB3A$1166.AB4A$1159.3A4.2AB3A4.3A$1160.A4.ABABA6.
3A$1160.A4.2AB2A6.3A4.3A$1165.5A6.3A4.A2BA$1165.3A8.A2BA2.5A7.3A$
1154.A11.A9.4A4.2A6.ABABA$1152.A.A19.A.B2ABA7.A2.6AB$1153.A.2A19.B4A
3.5A.6A.B$1151.2A.A20.5A4.A2BA2B.3A$1153.A.A19.3A6.4ABAB$1153.A25.2BA
B2.AB2AB2AB$1185.2A2B4A10.3A$1179.A4.A3.6A9.3A$1179.3A2.2A2B5.A9.B2A$
1183.A2BA2.4A10.3A$1184.AB2AB3A11.2A$1184.3AB2AB4A3.ABA$1179.A7.3AB.
4A2.ABA$1177.3A7.2A4.B2A2.3A$1178.3A14.A$1178.A2$1197.3A$1197.ABA$
1197.3A$1177.A$1177.3A$1176.3A$1178.A2$1214.3A$1213.2A$1213.2A2BA$
1213.2A$1214.3A2$1207.A$1186.A20.A.A$1184.2ABA17.A.B3A.A$1184.3ABA16.
A.B.ABA$1183.AB3A17.2A2.3A3.5A3.A$1184.AB2A22.2A2.2A3BA.A$1185.A23.3A
.A.7AB2A$1211.A3.2B8A$1217.B3A.A$1215.A.3A$1211.A4.3A$1211.2AB3.A$
1210.3A.B$1211.3A6$1229.A$1227.A$1209.A16.3A2B2A6.2A$1209.3A14.7A$
1208.3A14.9A5.A$1210.A10.A2.4A.2AB3A6.A$1225.3A5.3A6.2A3.4A$1219.3AB
2.5A2.2A6.B2A2.A.A3BA$1222.A3.AB2A12.B4.4A$1220.2AB2A2.3A3.A.A.A9.ABA
2B$1222.2A10.A2B3A6.3B$1223.A9.5ABA8.AB2A$1234.AB4A.B3.B$1234.A3B2A4.
A2.A.A$1219.A14.2A5.A.3A.B.A$1217.2ABA18.A3.ABA$1217.3A17.B7.2A$1218.
A16.2A3.A3.B$1233.B.A4.A.B.A$1232.4A6.4A$1231.4A6.3A$1233.A$1243.A$
1243.A$1241.2ABA$1242.2A$1241.3A2$1261.2A$1260.4A$1260.ABABA$1259.2A
2B2A$1259.6A$1259.A.A5.A$1241.A19.A5.A$1241.3A21.3A$1240.3A21.2A7.A$
1242.A30.3A$1272.3A$2.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A
63.A63.A63.A63.A63.A63.A63.A63.A55.A$2ABA60.2ABA60.2ABA60.2ABA60.2ABA
60.2ABA60.2ABA60.2ABA60.2ABA60.2ABA60.2ABA60.2ABA60.2ABA60.2ABA60.2AB
A60.2ABA60.2ABA60.2ABA60.2ABA60.2ABA$.2A62.2A62.2A62.2A62.2A62.2A62.
2A62.2A62.2A62.2A62.2A62.2A62.2A62.2A62.2A62.2A62.2A62.2A62.2A62.2A$
2.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A63.A
63.A63.A63.A$1271.A$1269.3A$1268.AB2A$1267.2ABA$1269.A14.A$1266.2A13.
5A$1264.5A11.2A.2ABA$1257.A6.AB3A10.A2B3.3A$1257.2A5.2ABABA9.3A.B2.A$
1256.3A7.3A10.3A.B2.3A$1268.A10.2AB4.A.A$1286.B.B.A$1284.3A.A$1285.4A
$1285.3A9.B$1275.2ABA12.A4.BA2B$1274.4A.A10.3A2.BA2B$1275.2AB8.B2.3AB
A2.3B$1280.A4.BA2B.A3B2.B4.B$1279.3A2.BA2B3.ABABA4.BA2B$1275.B2.3ABA
2.3B5.3BA2.BA2B$1274.BA2B.A3B2.B4.B2.ABABA2.3B$1273.BA2B3.ABABA4.BA2B
.A3B2.B4.B$1274.3B5.3BA2.BA2B3.ABABA4.BA2B$1274.B4.B2.ABABA2.3B5.3BA
2.BA2B$1278.BA2B.A3B2.B4.B2.ABABA2.3B$1277.BA2B3.ABABA4.BA2B.A3B2.B4.
B$1278.3B5.3BA2.BA2B3.ABABA4.BA2B$1278.B4.B2.ABABA2.3B5.3BA2.BA2B$
1282.BA2B.A3B2.B4.B2.ABABA2.3B$1281.BA2B3.AB3A4.BA2B.A3B2.B4.B$1282.
3B5.2A4.BA2B3.ABABA4.BA2B$1282.B4.B2.A6.3B5.3BA2.BA2B$1286.BA2B7.B4.B
2.ABABA2.3B$1285.BA2B12.BA2B.A3B2.B$1286.3B11.BA2B3.AB3A$1286.B14.3B
5.2A$1301.B4.B2.A$1305.BA2B$1304.BA2B$1305.3B$1305.B!

[period54]

4 new oscillators:

Code: Select all

x = 64, y = 10, rule = BTCA1
3.A36.B3.B16.2B$2.3A12.A11.A10.B3.B12.2B2.2B$.4A12.3A7.3A8.3B3.3B10.
2B$4A12.3A2.5B2.3A10.3A16.4A$.2A15.A2.5B2.A12.3A15.4A$7.2A12.5B15.3A
12.2B.2AB$6.4A13.B14.3B3.3B9.2B.2A$5.4A31.B3.B14.A$5.3A32.B3.B$6.A!

A new puffer:

Code: Select all

x = 15, y = 15, rule = BTCA1
10.A$8.3A$8.3A$7.3A$14.A$12.3A$8.B3.3A$3.A4.B2.3A$.3A2.5B$.3A4.3B$3A
5.3B$7.A$5.3A$5.3A$4.3A!

[knightlife]

I found this very unusual converter with a delay element:

Code: Select all

x = 40, y = 24, rule = BTCA1
AB$3B$.B7$32.B$32.B$30.5B$30.5B$31.3B$27.2B2.ABA2.2B$27.3BA3BA3B$25.
15B$27.3BA3BA3B$27.2B2.ABA2.2B$31.3B$30.5B$30.5B$32.B$32.B!

The small glider becomes a p2 pinwheel (what I call it) for a few gens then becomes a big glider.
I was able to engineer a 90 degree reflector (for big glider) by using another p48 oscillator to activate the pinwheel:

Code: Select all

x = 167, y = 163, rule = BTCA1
70.A.B.A$68.9B$68.3BABA3B$66.4BA3BA4B9.3B.3B$66.6B.6B9.3B.3B$65.A2BA
2BABA2BA2BA8.2BABA2B$66.BA2BA3BA2BAB11.B.B$65.4B.5B.4B8.2BABA2B$66.BA
2BA3BA2BAB9.3B.3B$65.A2BA2BABA2BA2BA8.3B.3B$66.6B.6B$66.4BA3BA4B$68.
3BABA3B$68.9B$70.A.B.A26$112.B$110.3B$110.3B$109.3B17$10.B2$9.BAB$6.
2BA3.A2B$8.5B$7.7B144.B$3.B2.3BABA3B2.B140.B$3.B.11B.B138.5B$3.A5BABA
5BA138.5B$2.B.2BABA3BABA2B.B138.3B$B.A.6B.6B.A.B132.2B2.ABA2.2B$2.B.
2BABA3BABA2B.B134.3BA3BA3B$3.A5BABA5BA133.15B$3.B.11B.B135.3BA3BA3B$
3.B2.3BABA3B2.B135.2B2.ABA2.2B$7.7B143.3B$8.5B143.5B$6.2BA3.A2B141.5B
$9.BAB146.B$158.B$10.B4$158.3B$158.BAB$10.B.B141.4BABA4B$10.B.B141.2B
A5BA2B$8.2B3.2B139.BA2BA.A2BAB$154.3B.B.B.3B$8.2B3.2B137.2BABA2BA2BAB
A2B$10.B.B139.BA2B2.ABA2.2BAB$10.B.B139.2BABA2BA2BABA2B$154.3B.B.B.3B
$154.BA2BA.A2BAB$154.2BA5BA2B$154.4BABA4B$158.BAB$158.3B48$97.B$97.B$
78.B14.3B.A.3B$92.3B.A.A.3B$74.4B.4B8.3BA.B.B.A3B$73.4BA.A4B7.2BA2BAB
A2BA2B$73.4B3.4B7.B2.2B3.2B2.B$73.3B5.3B8.ABA2.B2.ABA$73.BA2.B.B2.AB
5.2BA2.B.B.B.B2.A2B$71.B13.B6.ABA2.B2.ABA$73.BA2.B.B2.AB7.B2.2B3.2B2.
B$73.3B5.3B7.2BA2BABA2BA2B$73.4B3.4B7.3BA.B.B.A3B$73.4BA.A4B8.3B.A.A.
3B$74.4B.4B10.3B.A.3B$97.B$78.B18.B!

There are several other pinwheel reactions that can be used in the same manner with different timing. I am currently looking for a p48 glider splitter.

Also found a p48 oscillator duplicator reaction:

Code: Select all

x = 20, y = 20, rule = BTCA1
BA$3A$.A11$15.B.B$15.B.B$13.3B.3B2$13.3B.3B$15.B.B$15.B.B!

Here's an interesting matter/antimatter (red/blue) reaction comparison:
The only initial difference is the color of the glider:

Code: Select all

x = 82, y = 21, rule = BTCA1
AB58.BA$3B57.3A$.B59.A10$17.B59.B$15.5B55.5B$14.7B53.7B$14.7B53.7B$
13.9B51.9B$14.7B53.7B$14.7B53.7B$15.5B55.5B$17.B59.B!

More matter/antimatter comparisons:

Code: Select all

x = 114, y = 355, rule = BTCA1
.AB58.BA$A3B56.B3A$3B57.3A$.B59.A23$35.3B.3B53.3B.3B$35.3B.3B53.3B.3B
$35.2BABA2B53.2BABA2B$37.B.B57.B.B$35.2BABA2B53.2BABA2B$35.3B.3B53.3B
.3B$35.3B.3B53.3B.3B40$5.AB58.BA$4.A3B56.B3A$4.3B57.3A$5.B59.A18$38.B
59.B$38.B59.B$34.3B.A.3B51.3B.A.3B$33.3B.A.A.3B49.3B.A.A.3B$32.3BA.B.
B.A3B47.3BA.B.B.A3B$32.2BA2BABA2BA2B47.2BA2BABA2BA2B$32.B2.2B3.2B2.B
47.B2.2B3.2B2.B$33.ABA2.B2.ABA49.ABA2.B2.ABA$30.2BA2.B.B.B.B2.A2B43.
2BA2.B.B.B.B2.A2B$33.ABA2.B2.ABA49.ABA2.B2.ABA$32.B2.2B3.2B2.B47.B2.
2B3.2B2.B$32.2BA2BABA2BA2B47.2BA2BABA2BA2B$32.3BA.B.B.A3B47.3BA.B.B.A
3B$33.3B.A.A.3B49.3B.A.A.3B$34.3B.A.3B51.3B.A.3B$38.B59.B$38.B59.B48$
7.AB58.BA$6.A3B56.B3A$6.3B57.3A$7.B59.A24$50.3B57.3B$49.2BA2B55.2BA2B
$49.BABAB55.BABAB$49.2BA2B55.2BA2B$50.3B57.3B74$4.AB58.BA$3.A3B56.B3A
$3.3B57.3A$4.B59.A17$31.3B57.3B$29.2B3A2B53.2B3A2B$29.BA3BAB53.BA3BAB
$29.7B53.7B$30.BABAB55.BABAB$29.7B53.7B$24.3B.9B.3B43.3B.9B.3B$24.BA
13BAB43.BA13BAB$23.BA2BA3B3.3BA2BAB41.BA2BA3B3.3BA2BAB$23.BA6B3.6BAB
41.BA6B3.6BAB$23.BA2BA3B3.3BA2BAB41.BA2BA3B3.3BA2BAB$24.BA13BAB43.BA
13BAB$24.3B.9B.3B43.3B.9B.3B$29.7B53.7B$30.BABAB55.BABAB$29.7B53.7B$
29.BA3BAB53.BA3BAB$29.2B3A2B53.2B3A2B$31.3B57.3B32$6.AB58.BA$6.3B57.
3A$7.B59.A8$33.3B57.3B$31.7B53.7B$30.9B51.9B$29.3B2AB2A3B49.3B2AB2A3B
$29.2BA.B.B.A2B49.2BA.B.B.A2B$28.3BA5BA3B47.3BA5BA3B$28.4B.BAB.4B47.
4B.BAB.4B$28.3BA5BA3B47.3BA5BA3B$29.2BA.B.B.A2B49.2BA.B.B.A2B$29.3B2A
B2A3B49.3B2AB2A3B$30.9B51.9B$31.7B53.7B$33.3B57.3B!

The last two sets have the same net result regardless of glider color (very rare).

Stable eaters:

Code: Select all

x = 14, y = 26, rule = BTCA1
7.2A$7.2A4$7.B4.2A$6.3B3.2A$6.AB3$3B$.3B$.3B$3.B6$12.2A$12.2A3$7.B$6.
3B$6.AB!

Glider changes color:

Code: Select all

x = 37, y = 36, rule = BTCA1
.BA$B3A$3A$.A20$29.3B$27.7B$26.9B$25.3B2AB2A3B$25.2BA.B.B.A2B$24.3BA
5BA3B$24.4B.BAB.4B$24.3BA5BA3B$25.2BA.B.B.A2B$25.3B2AB2A3B$26.9B$27.
7B$29.3B!

p48 push/pull:

Code: Select all

x = 200, y = 145, rule = BTCA1
.AB81.AB$A3B79.A3B$3B80.3B89.BA$.B82.B90.3A$176.A7$189.B5.B$187.3B5.
3B$186.4B5.4B$186.3BA5.A3B$185.3BA2.A.A2.A3B$191.B.B$189.A2B.2BA$192.
B$189.A2B.2BA$191.B.B$185.3BA2.A.A2.A3B$186.3BA5.A3B$186.4B5.4B$111.
5B71.3B5.3B$109.9B71.B5.B$29.3B.3B73.2B2AB2A2B$29.3B.3B72.2BA5BA2B$
29.2BABA2B72.2BAB.B.BA2B$31.B.B74.5BA5B$29.2BABA2B72.2BAB.B.BA2B$29.
3B.3B72.2BA5BA2B$29.3B.3B73.2B2AB2A2B$109.9B$111.5B13$86.AB$85.A3B$
85.3B$2.AB82.B$.A3B$.3B$2.B16$112.A.B.A$110.9B$29.3B78.3BABA3B$27.7B
74.4BA3BA4B$27.2BABA2B74.6B.6B$26.2A5B2A72.A2BA2BABA2BA2BA$25.ABA5BAB
A72.BA2BA3BA2BAB$23.2B2ABAB.BAB2A2B69.4B.5B.4B$23.4BAB3.BA4B70.BA2BA
3BA2BAB$22.2BA3B5.3BA2B68.A2BA2BABA2BA2BA$22.5B7.5B69.6B.6B$22.2BA3B
5.3BA2B69.4BA3BA4B$23.4BAB3.BA4B72.3BABA3B$23.2B2ABAB.BAB2A2B72.9B$
25.ABA5BABA76.A.B.A$26.2A5B2A$27.2BABA2B$27.7B$29.3B37$20.AB58.BA$20.
3B57.3A$21.B59.A10$33.7B53.7B$32.9B51.9B$32.2BA3BA2B51.2BA3BA2B$32.4B
.4B51.4B.4B$32.3B.A.3B51.3B.A.3B$32.4B.4B51.4B.4B$32.2BA3BA2B51.2BA3B
A2B$32.9B51.9B$33.7B53.7B!

The last set at the bottom is a comparison but unfortunately the p48 osc displacement is not the same,

Only blue can pass:

Code: Select all

x = 133, y = 56, rule = BTCA1
AB58.BA$3B57.3A$.B59.A14$16.BA58.AB$16.3A57.3B$17.A59.B14$32.AB58.BA$
32.3B57.3A$33.B59.A7$65.B59.B$65.B59.B$63.5B55.5B$63.5B55.5B$64.3B57.
3B$60.2B2.ABA2.2B49.2B2.ABA2.2B$60.3BA3BA3B49.3BA3BA3B$58.15B45.15B$
60.3BA3BA3B49.3BA3BA3B$60.2B2.ABA2.2B49.2B2.ABA2.2B$64.3B57.3B$63.5B
55.5B$63.5B55.5B$65.B59.B$65.B59.B!

[period54]

Great patterns, knightlife. I really like the reflector.

Here is some more new stuff:

Gun that produces two gliders:

Code: Select all

x = 40, y = 46, rule = BTCA1
7$29.A$27.3A$28.3A$28.A5$23.A$23.3A$22.3A$24.A6.B$29.B.B.B2$28.2B3.2B
2$29.B.B.B$31.B3$12.A$10.3A$11.3A$11.A2$3.A$3.3A10.B$2.3A9.B.B.B$4.A
26.A$13.2B3.2B10.2A$32.A$14.B.B.B$16.B!

Five new oscillators:

Code: Select all

x = 64, y = 12, rule = BTCA1
38.A6.A6.A$13.A12.A11.A6.A6.A$5.3B3.3A10.3A10.3A4.3A4.3A$.A3.3B4.3A
10.3A8.B$.3A.4B3.A12.A10.B24.A$3A15.2A2.3B10.2BAB5.2BA14.3A$2.A15.2A
2.3B10.3B5.2BAB11.B2.A$22.3B12.B6.3B10.BA2B$34.A10.B10.5B$22.2A8.3A
21.2BAB$22.2A9.3A8.2A12.B$33.A11.2A!

[praosylen]

Another period-doubling reaction:

Code: Select all

x = 31, y = 31, rule = BTCA1
26.A$26.3A$25.3A$27.A2$29.B$27.A2B$29.B$22.A$20.3A$21.3A$21.A2$5.A22.
3B$5.3A20.3B$4.3A21.3B$6.A$20.B3$9.A7.B$9.3A$8.3A$10.A$26.B$2.A22.BA
2B$3A21.BA2B$.3A2.A18.3B$.A4.B6.3B9.B2.A$5.3B5.3B13.2A$13.3B13.A!

[knightlife]

A compound p270 big-glider gun I made is used to quintuple a small-glider gun's period from p54 to p270 to make a matching p270 small-glider gun:

Code: Select all

x = 94, y = 125, rule = BTCA1
72.B$70.5B$69.3BA3B$68.2BABABA2B$68.3B3.3B$67.2B2A3.2A2B$68.3B3.3B7.A
$60.A7.2BABABA2B7.3A$59.2A8.3BA3B7.3A$61.A8.5B10.A$72.B$77.A$75.3A$
76.3A$76.A$57.B$55.5B$54.3BA3B$53.2BABABA2B$53.3B3.3B$52.2B2A3.2A2B
10.B$53.3B3.3B10.BA2B$53.2BABABA2B11.2B$54.3BA3B3.A8.B$55.5B4.3A$57.B
5.3A$65.A5$60.A$58.3A$59.3A$59.A4$91.B$90.BA2B$91.2B$91.B6$74.B$73.3B
$73.A3B$74.AB17$20.B$18.5B$17.3BA3B$16.2BABABA2B$16.3B3.3B$15.2B2A3.
2A2B$16.3B3.3B7.A$8.A7.2BABABA2B7.3A$7.2A8.3BA3B7.3A$9.A8.5B10.A$20.B
$25.A$23.3A$24.3A$24.A$5.B$3.5B$2.3BA3B$.2BABABA2B$.3B3.3B$2B2A3.2A2B
10.B$.3B3.3B10.BA2B$.2BABABA2B11.2B$2.3BA3B3.A8.B$3.5B4.3A$5.B5.3A36.
A$13.A34.3A$49.3A$49.A3$8.A6.A$6.3A6.3A3.B11.3B14.3B$7.3A4.3A4.3B9.B
10.A5.BAB$7.A8.A2.2BA2B9.B10.3A3.3B$17.6B2A18.3A$8.A5.2B3.4BABA19.A$
6.3A4.B4A.B.BAB2A2B$7.3A3.2BAB5.BA4B$7.A4.2BA3B5.3BA2B25.2B$12.5B7.5B
19.B$12.2BA3B5.3BA2B17.A.3B$13.4BAB3.BA4B17.2B.3B$13.2B2ABAB.BAB2A2B
16.8B$15.ABA5BABA20.B.4B$16.2A5B2A8.A14.B.3B$17.2BABA2B7.3A7.B5.AB.A$
17.7B8.3A5.2B$19.3B10.A6.A3B$41.B2.A$24.A13.7B3.A$24.3A12.4B6.2A$23.
3A4.3B6.5BA4.A$25.A4.BAB8.3B$30.3B10.B2$37.B$37.B!

[BlinkerSpawn]

A pinwheel can act as a base-3 memory cell.

Code: Select all

x = 172, y = 106, rule = BTCA1
35.A.A$35.2A$35.3A10$23.A.A$23.2A$23.3A3$50.A.A$50.2A$50.3A8$8.A.A$8.
2A$8.3A27.A.A$38.2A$38.3A2$2.B$3B$.3B$.B5$72.A.A$72.2A$24.A.A45.3A$
24.2A$24.3A4$18.B$16.3B$17.3B$17.B43.A.A$61.2A$61.3A2$108.A$108.3A$
108.3A$109.3A56.A$168.3A$168.3A$169.3A5$46.A.A$46.2A$46.3A4$40.B$38.
3B$39.3B47.A$39.B49.3A$89.3A$90.3A$148.A$148.3A$148.3A$149.3A12$70.A$
70.3A$70.3A$71.3A$64.B64.A$62.3B64.3A$63.3B63.3A$63.B66.3A$123.B$121.
3B$122.3B$122.B!

Also, a small library of two-glider and glider+pinwheel reactions:

Code: Select all

x = 196, y = 164, rule = BTCA1
5.A$3.3A$3.3A29.A$2.3A5.A22.3A4.A$8.2ABA21.3A4.3A$9.2ABA19.3A5.3A$9.
3A29.3A$11.A3$76.A36.A$74.3A34.3A$74.3A34.3A$73.3A34.3A8$85.A37.A$85.
3A33.3A$84.3A35.3A$86.A35.A14$4.A29.A$2.3A27.3A39.A36.A$2.3A27.3A37.
3A34.3A$.3A6.A20.3A38.3A34.3A$8.2ABA26.A32.3A34.3A$9.2ABA25.3A$9.3A
26.3A$11.A27.3A3$187.A$185.3A5.A$82.A37.A64.3A3.2ABA$82.3A33.3A63.3A
5.2ABA$81.3A35.3A70.3A$83.A35.A74.A14$114.A$73.A38.3A$71.3A38.3A$71.
3A37.3A$70.3A5$33.A$31.3A$31.3A85.A$30.3A48.A37.3A$38.A40.3A36.3A$38.
3A39.3A37.A$38.3A39.A$39.3A3$5.A4.A$3.3A2.2ABA$3.3A3.2ABA$2.3A4.3A$
11.A6$73.A36.A$71.3A34.3A$71.3A34.3A$70.3A34.3A7$179.A$79.A37.A59.3A$
79.3A33.3A59.3A$78.3A35.3A57.3A$80.A35.A72.A$187.3A$188.3A$188.A6$9.A
$4.A2.2ABA$2.3A3.2ABA100.A$2.3A3.3A63.A35.3A$.3A6.A61.3A35.3A$72.3A
34.3A$71.3A7$116.A$79.A34.3A$77.3A35.3A$78.3A34.A$78.A8$74.A$72.3A$
72.3A$71.3A8$77.A$75.3A$8.A67.3A$6.2ABA66.A$7.2ABA$3.A3.3A$.3A5.A$.3A
$3A!

EDIT: A p648 based on A for Awesome's p72:

Code: Select all

x = 66, y = 67, rule = BTCA1
17.B$.A14.3B6.B$2.2A11.5B5.B$2.A2.B10.3B10.A$5.2B10.B11.3A$3.3BA21.3A
$4.BA24.A2$22.A$20.3A$21.3A$21.A4$2.B$.3B$5B$.3B$2.B$9.A$9.3A$8.3A$
10.A$16.A$.2B13.3A$15.3A$17.A$5.A$3.3A$4.3A$4.A3$4.A$4.3A$3.3A54.A$5.
A54.3A$59.3A$61.A$.2B$63.B$10.A50.A2B$8.3A52.B$9.3A44.A$9.A44.3A$2.B
52.3A$.3B21.A29.A$5B20.3A$.3B20.3A12.A22.3B$2.B23.A12.3A20.3B$38.3A
21.3B$40.A$54.B$21.A$21.3A$20.3A20.A7.B$22.A20.3A$42.3A$4.BA24.A13.A$
3.3BA21.3A29.B$5.2B10.B11.3A4.A22.BA2B$2.A2.B10.3B10.A4.3A21.BA2B$2.
2A11.5B5.B9.3A2.A18.3B$.A14.3B6.B9.A4.B6.3B9.B2.A$17.B21.3B5.3B13.2A$
47.3B13.A!

[knightlife]

A wierd way to make a big glider from two small ones:
(normally 2 small gliders can't make a big one with a simple collision)

Code: Select all

x = 54, y = 45, rule = BTCA1
16.3B$14.7B$13.9B$12.3B2AB2A3B$12.2BA.B.B.A2B$11.3BA5BA3B$11.4B.BAB.
4B$11.3BA5BA3B$12.2BA.B.B.A2B$12.3B2AB2A3B$13.9B$14.7B$16.3B29$52.B$.
B49.3B$3B49.BA$AB!

The p48 osc does not change position but its phase advances by 37 gens (or back by 11 gens) when the reaction is finished.

EDIT:
Oops there is a head-on collision that works but not very useful for guns

Code: Select all

x = 15, y = 12, rule = BTCA1
12.B.B$12.2B$12.3B6$.B$.2B$BA2B$.B!

Expensive, but three small-glider guns of sufficient period can make a big-glider gun (like CGOL *WSS):

Code: Select all

x = 20, y = 28, rule = BTCA1
18.A$16.2ABA$17.2A$18.A8$3.A.A$4.2A$3.3A12$3A$.2A$A.A!

[bprentice]

Using one of BlinkerSpawn's reactions and knightlife's reflector here is another gun:

Code: Select all

x = 189, y = 179, rule = BTCA1
17.B2$16.BAB$15.A3.A$16.3B$16.3B$16.3B$16.3B16.3B$10.A5.ABA5.A9.5B$
9.B.4BA3BA4B.B7.3BA3B$7.B.A.13B.A.B4.3B3.3B$9.B.4BA3BA4B.B6.2BA3.A2B
$10.A5.ABA5.A7.3B3.3B$16.3B14.3BA3B$16.3B15.5B$16.3B16.3B$16.3B$15.
A3.A$16.BAB$3.3B$2.5B10.B$.7B$.7B$.7B$2.5B$3.3B13$3.B$.B.B.B$2.BAB$
2BA.A2B$2.BAB$.B.B.B$3.B3$56.3B$55.3B$55.3B$55.B24$60.B$60.3B$59.3B
$61.B16$87.B$87.3B$86.3B$88.B16$114.B$114.3B$113.3B$115.B19$185.B$183.
B.B.B$184.BAB$182.2BA.A2B$184.BAB$183.B.B.B$185.B13$183.3B$182.5B$181.
7B$181.7B$181.7B$171.B10.5B$183.3B$170.BAB$169.A3.A$170.3B$151.3B16.
3B$150.5B15.3B$149.3BA3B14.3B$148.3B3.3B7.A5.ABA5.A$148.2BA3.A2B6.B
.4BA3BA4B.B$148.3B3.3B4.B.A.13B.A.B$149.3BA3B7.B.4BA3BA4B.B$150.5B9.
A5.ABA5.A$151.3B16.3B$170.3B$170.3B$170.3B$169.A3.A$170.BAB2$171.B!

Brian Prentice

[praosylen]

An insanely high-period gun (bounding box can be improved):

Code: Select all

x = 319, y = 141, rule = BTCA1
5$79.3B156.3B$77.7B152.7B$78.5B154.5B$79.ABA156.ABA$76.B2.3B3.A148.A
3.3B2.B$73.B5.B.B.2BA2B144.2BA2B.B.B5.B$73.2B3.2B.A3BAB146.BA3BA.2B3.
2B$72.3BA2BA2.2BA2B148.2BA2B2.A2BA3B$72.5BA2BA4B150.4BA2BA5B$72.3BAB
3A2BA2B8.A132.A8.2BA2B3ABA3B$67.A5.2B2.BA2BA3B6.3A132.3A6.3BA2BAB2.2B
5.A$68.2A3.B4.2B.4B7.3A130.3A7.4B.2B4.B3.2A$68.A6.B.3A3B9.A134.A9.3B
3A.B6.A$75.5B160.5B$74.5B5.A150.A5.5B$64.3B8.4B5.3A146.3A5.4B8.3B$62.
7B6.3B5.3A148.3A5.3B6.7B$63.5B3.B5.B7.A148.A7.B5.B3.5B$64.ABA2.5B172.
5B2.ABA$61.B2.3B3.4B172.4B3.3B2.B$58.B5.B2AB.A5B170.5BA.B2AB5.B$58.2B
3.BAB2ABA3B174.3BAB2ABAB3.2B$57.3BA3B.BA2BAB178.BA2BAB.3BA3B$57.5B3.A
2B.B180.B.2BA3.5B$57.3BA2BA3BA2B180.2BA3BA2BA3B$58.2B3.3BA3B180.3BA3B
3.2B$58.B3.2BA4B4.A172.A4.4BA2B3.B$62.7B2.3A172.3A2.7B$61.3AB7.3A10.A
B146.BA10.3A7.B3A$62.2B8.A12.3B144.3B12.A8.2B$62.B23.B146.B23.B4$67.A
184.A$67.3A180.3A$66.3A182.3A$68.A182.A9$85.3B15.AB110.BA15.3B$86.3B
14.3B108.3B14.3B$86.3B15.B110.B15.3B$88.B142.B18$27.3B260.3B$25.7B
256.7B$26.5B258.5B$27.ABA260.ABA$24.B2.3B3.A252.A3.3B2.B$21.B5.B.B.2B
A2B248.2BA2B.B.B5.B$21.2B3.2B.A3BAB250.BA3BA.2B3.2B$20.3BA2BA2.2BA2B
252.2BA2B2.A2BA3B$20.5BA2BA4B254.4BA2BA5B$20.3BAB3A2BA2B8.A117.A118.A
8.2BA2B3ABA3B$15.A5.2B2.BA2BA3B6.3A113.A3.3A116.3A6.3BA2BAB2.2B5.A$
16.2A3.B4.2B.4B7.3A110.3A2.3A116.3A7.4B.2B4.B3.2A$16.A6.B.3A3B9.A113.
3A3.A118.A9.3B3A.B6.A$23.5B126.A137.5B$22.5B5.A254.A5.5B$12.3B8.4B5.
3A250.3A5.4B8.3B$10.7B6.3B5.3A125.2B125.3A5.3B6.7B$11.5B3.B5.B7.A125.
2B125.A7.B5.B3.5B$12.ABA2.5B276.5B2.ABA$9.B2.3B3.4B276.4B3.3B2.B$6.B
5.B2AB.A5B274.5BA.B2AB5.B$6.2B3.BAB2ABA3B278.3BAB2ABAB3.2B$5.3BA3B.BA
2BAB282.BA2BAB.3BA3B$5.5B3.A2B.B284.B.2BA3.5B$5.3BA2BA3BA2B284.2BA3BA
2BA3B$6.2B3.3BA3B284.3BA3B3.2B$6.B3.2BA4B4.A276.A4.4BA2B3.B$10.7B2.3A
137.2B137.3A2.7B$9.3AB7.3A10.AB22.A101.2B101.A22.BA10.3A7.B3A$10.2B8.
A12.3B21.3A200.3A21.3B12.A8.2B$10.B23.B21.3A202.3A21.B23.B$58.A202.A$
59.3B196.3B$56.7B194.7B$15.A8.A17.B13.3BABA2B192.2BABA3B13.B17.A8.A$
15.3A4.3A7.B9.B12.3B3.3B192.3B3.3B12.B9.B7.3A4.3A$14.3A6.3A4.2BAB6.3B
10.A3.B3.2A2B190.2B2A3.B3.A10.3B6.BA2B4.3A6.3A$16.A6.A6.2BA2B16.3A2.
2B3.3B192.3B3.2B2.3A16.2BA2B6.A6.A$32.A.B17.3A.3BABA2B192.2BABA3B.3A
17.B.A$15.A16.A2B17.A3.3BA3B194.3BA3B3.A17.2BA16.A$15.3A15.2B22.5B
196.5B22.2B15.3A$14.3A4.3B7.ABA2B23.B200.B23.2BABA7.3B4.3A$16.A4.3B9.
A252.A9.3B4.A$21.3B272.3B4$51.B216.B$40.A9.3B214.3B9.A$40.3A8.BA214.A
B8.3A$39.3A236.3A$41.A236.A$38.B242.B$33.A2.3B.3B14.A204.A14.3B.3B2.A
$31.3A2.8B12.2A204.2A12.8B2.3A$32.3A.2B3.3B14.A202.A14.3B3.2B.3A$32.A
2.2BA3.2A2B230.2B2A3.A2B2.A$35.3B3.3B232.3B3.3B$35.2BABABA2B232.2BABA
BA2B$36.3BA3B234.3BA3B$37.5B236.5B$39.B240.B!

[c0b0p0]

Using one of BlinkerSpawn's reactions and knightlife's reflector here is another gun:

Based on that gun I made an AND gate, shown below.

Code: Select all

x = 3129, y = 3247, rule = BTCA1
3.B$.3B$.3B$3B1277$1283.B$1281.3B$1281.3B$1280.3B660$1922.B$1920.B.B.
B$1921.BAB$1919.2BA.A2B$1921.BAB$1920.B.B.B$1922.B11$1942.3B$1942.3B$
1942.3B59$1701.B2$1700.BAB$1699.A3.A$1700.3B$1700.3B$1700.3B$1700.3B
16.3B$1694.A5.ABA5.A9.5B$1693.B.4BA3BA4B.B7.3BA3B$1691.B.A.13B.A.B4.
3B3.3B$1693.B.4BA3BA4B.B6.2BA3.A2B$1694.A5.ABA5.A7.3B3.3B$1700.3B14.
3BA3B$1700.3B15.5B$1700.3B16.3B$1700.3B$1699.A3.A$1700.BAB$1687.3B
106.3B$1686.5B10.B94.BAB$1685.7B100.4BABA4B$1685.7B100.2BA5BA2B$1685.
7B100.BA2BA.A2BAB$1686.5B101.3B.B.B.3B$1687.3B100.2BABA2BA2BABA2B$
1790.BA2B2.ABA2.2BAB$1790.2BABA2BA2BABA2B$1792.3B.B.B.3B$1792.BA2BA.A
2BAB$1792.2BA5BA2B$1792.4BABA4B$1796.BAB$1796.3B5$1687.B$1685.B.B.B$
1686.BAB$1684.2BA.A2B$1686.BAB$1685.B.B.B$1687.B3$1740.3B$1739.3B$
1739.3B$1739.B7$1850.3B$1850.BAB$1846.4BABA4B$1846.2BA5BA2B$1846.BA2B
A.A2BAB$1846.3B.B.B.3B$1844.2BABA2BA2BABA2B$1844.BA2B2.ABA2.2BAB$
1844.2BABA2BA2BABA2B$1846.3B.B.B.3B$1846.BA2BA.A2BAB$1846.2BA5BA2B$
1846.4BABA4B$1850.BAB$1850.3B3$1744.B$1744.3B$1743.3B$1745.B16$1771.B
$1771.3B$1770.3B$1772.B16$1798.B$1798.3B$1797.3B$1799.B7$1692.B$1690.
B.B.B$1691.BAB$1689.2BA.A2B$1691.BAB$1690.B.B.B$1692.B6$1719.B149.B$
1867.B.B.B$1718.BAB147.BAB$1717.A3.A144.2BA.A2B$1718.3B147.BAB$1718.
3B146.B.B.B$1718.3B148.B$1718.3B$1712.A5.ABA5.A$1711.B.4BA3BA4B.B$
1709.B.A.13B.A.B$1711.B.4BA3BA4B.B$1712.A5.ABA5.A$1718.3B$1718.3B$
1718.3B$1718.3B$1717.A3.A$1718.BAB$1867.3B$1719.B146.5B$1865.7B$1865.
7B$1865.7B$1855.B10.5B$1867.3B$1746.B107.BAB$1744.B.B.B104.A3.A$1745.
BAB106.3B$1743.2BA.A2B85.3B16.3B$1745.BAB86.5B15.3B$1744.B.B.B84.3BA
3B14.3B$1746.B85.3B3.3B7.A5.ABA5.A$1832.2BA3.A2B6.B.4BA3BA4B.B$1832.
3B3.3B4.B.A.13B.A.B$1833.3BA3B7.B.4BA3BA4B.B$1834.5B9.A5.ABA5.A$1835.
3B16.3B$1854.3B$1854.3B$1854.3B$1853.A3.A$1854.BAB2$1855.B403$2487.B$
2485.3B$2485.2BAB$2484.2BAB$2486.B636$3127.B$3125.3B$3125.2BAB$3124.
2BAB$3126.B!

[knightlife]

Make oscillator with 7 times gun period:

Code: Select all

x = 49, y = 54, rule = BTCA1
13.A$11.3A$12.3A$.A10.A$.3A$3A2.B$2.A2.3B$4.3B12.A$6.B10.3A$18.3A$18.
A7$8.A$6.3A$7.3A$7.A2$43.A$43.3A$42.3A$44.A5$39.A$37.3A$38.3A$38.A$
26.B18.3B$22.A3.3B15.2BA2B$22.3A.2B16.BABAB$21.3A3.B16.2BA2B$23.A15.
3B3.3B$38.3B$38.3B$38.B$26.A$26.3A5.3B$25.3A5.3B$27.A5.3B$33.B$19.A$
17.3A$18.3A9.3B$18.A10.2BA2B11.A$29.BABAB12.2A$29.2BA2B12.A$30.3B!

Modulo 8 with slight mod:

Code: Select all

x = 49, y = 54, rule = BTCA1
13.A$11.3A$12.3A$.A10.A$.3A$3A2.B$2.A2.3B$4.3B12.A$6.B10.3A$18.3A$18.
A7$7.A$7.3A$6.3A$8.A2$43.A$43.3A$42.3A$44.A5$39.A$37.3A$38.3A$38.A$
26.B18.3B$22.A3.3B15.2BA2B$22.3A.2B16.BABAB$21.3A3.B16.2BA2B$23.A15.
3B3.3B$38.3B$38.3B$38.B$26.A$26.3A5.3B$25.3A5.3B$27.A5.3B$33.B$19.A$
17.3A$18.3A9.3B$18.A10.2BA2B11.A$29.BABAB12.2A$29.2BA2B12.A$30.3B!

EDIT:
A simple gun period multiplier (x4) also reflects 90 degrees:

Code: Select all

x = 59, y = 53, rule = BTCA1
24.A$22.3A$23.3A$12.A10.A$12.3A$11.3A$13.A2$32.A$30.3A$31.3A$31.A11$
54.A$20.A33.3A$20.3A30.3A$19.3A33.A$21.A$57.B$2.A52.A2B$3A54.B$.3A46.
A$.A10.A35.3A$12.3A34.3A$11.3A35.A$13.A$33.A22.3B$33.3A20.3B$32.3A21.
3B$34.A$48.B3$37.A7.B$37.3A$36.3A$38.A$54.B$30.A22.BA2B$28.3A21.BA2B$
29.3A2.A18.3B$29.A4.B6.3B9.B2.A$33.3B5.3B13.2A$41.3B13.A!

[c0b0p0]

Here is a NOR gate. An OR gate should be coming soon.

Code: Select all

x = 1419, y = 2212, rule = BTCA1
753.3B$752.5B13.7B$751.3BA3B11.9B$750.3B3.3B10.2BA3BA2B$750.2BA3.A2B
10.4B.4B$669.3B78.3B3.3B10.3B.A.3B$668.5B78.3BA3B11.4B.4B$667.3BA3B
78.5B12.2BA3BA2B$666.3B3.3B78.3B13.9B$666.2BA3.A2B95.7B$666.3B3.3B$
667.3BA3B$668.5B$669.3B2$784.3B$783.5B$782.7B$782.7B$782.7B$783.5B$
784.3B9$782.5B$780.4B.4B$779.BA3B.3BAB$650.3B125.BA4B.4BAB$649.5B124.
5B3.5B$648.7B122.6B3.6B$648.7B122.4B7.4B$648.7B122.B13.B$649.5B123.4B
7.4B$650.3B124.6B3.6B$778.5B3.5B$778.BA4B.4BAB$779.BA3B.3BAB$780.4B.
4B$782.5B15$631.3B$630.5B$629.3BA3B$628.3B3.3B$628.2BA3.A2B$628.3B3.
3B$629.3BA3B$630.5B$631.3B7$729.B$729.3B$728.3B$730.B24$710.B$710.3B$
709.3B$711.B7$768.B.B$768.B.B$766.2B3.2B2$766.2B3.2B$768.B.B$768.B.B
7$692.2B$690.6B$689.BA6B$688.BA2BABABA$688.4B4.B$688.2BA3BABA$689.10B
$690.5B2A2B$690.B3.5B$696.B13$626.5B$624.4B.4B$623.BA3B.3BAB$622.BA4B
.4BAB$622.5B3.5B$621.6B3.6B$621.4B7.4B$621.B13.B$621.4B7.4B$621.6B3.
6B$622.5B3.5B$622.BA4B.4BAB$623.BA3B.3BAB$624.4B.4B$626.5B5$730.B.B$
730.B.B$728.2B3.2B2$626.3B99.2B3.2B$625.5B100.B.B$624.7B99.B.B$624.7B
$624.7B$625.5B$626.3B6$636.7B$635.9B13.3B$635.2BA3BA2B12.5B$635.4B.4B
11.3BA3B$635.3B.A.3B10.3B3.3B$635.4B.4B10.2BA3.A2B$635.2BA3BA2B10.3B
3.3B$635.9B11.3BA3B$636.7B13.5B$657.3B480$1283.AB$1282.A3B$1282.3B$
1283.B54$1286.B$1285.3B$1285.A3B$1286.AB63$1389.3B$1387.2B3A2B$1387.B
A3BAB$1387.7B$1388.BABAB$1387.7B$1382.3B.9B.3B$1382.BA13BAB$1381.BA2B
A3B3.3BA2BAB$1381.BA6B3.6BAB$1381.BA2BA3B3.3BA2BAB$1382.BA13BAB$1382.
3B.9B.3B$1387.7B$1388.BABAB$1387.7B$1387.BA3BAB$1387.2B3A2B15.5B$
1389.3B15.4B.4B$1406.BA3B.3BAB$1405.BA4B.4BAB$1405.5B3.5B$1404.6B3.6B
$1404.4B7.4B$1404.B13.B$1404.4B7.4B$1404.6B3.6B$1405.5B3.5B$1405.BA4B
.4BAB$1406.BA3B.3BAB$1407.4B.4B$1409.5B104$1280.3B$1281.3B$1281.3B$
1283.B436$646.B$645.3B$645.A3B$646.AB838$3B$.3B$.3B$3.B!

[period54]

Six more new oscillators:

Code: Select all

x = 175, y = 23, rule = BTCA1
63.2A26.3A7.A$35.3A61.3A$37.A24.5A25.A7.3A$37.A62.A$5.A22.2B33.4A$2.B
2.A21.2BAB108.A33.A$3B2.A22.BA2B93.B3.A7.3A31.3A$2.B.AB.A20.3A2B32.3B
55.B.B3.A8.3A31.3A$3.4A22.2BA2B30.B3AB29.2B25.B2.3A7.A33.A$4.3A2.B17.
4B3AB28.3B32.3B50.A$5.A2.2B16.A2.B.A3B28.3B2.A2B26.5B49.3A$9.B19.B3.B
31.3A.3B26.3B4.A21.A22.3A19.B$25.4A34.BA3.A2B27.2B5.3A19.A.A15.B6.A
17.B.B$66.B.B.B34.A19.5A13.B.B.B22.5B$26.2A36.BA3B58.A.A42.B$60.4A2.A
2B73.2B3.2B$66.B60.B42.A$60.5A26.3A7.A23.3B15.B.B.B22.3A$99.3A24.3B
16.B23.3A$62.2A28.A7.3A23.B19.A24.A$100.A45.3A$145.3A$147.A!

[wildmyron]

A period tripling reaction for the p54 small glider gun (p162 output) with 90deg reflected output glider stream:

Code: Select all

x = 34, y = 34, rule = BTCA1
19.B$18.3B$17.2BA2B$16.3BA3B$15.2B2A.2A2B$16.3BA3B8.A$7.A9.2BA2B9.3A$
6.2A10.3B9.3A$8.A10.B12.A2$24.A$22.3A$23.3A$23.A2$4.B$3.3B$2.2BA2B$.
3BA3B$2B2A.2A2B10.AB$.3BA3B11.3B$2.2BA2B13.B$3.3B5.A$4.B6.3A$10.3A$
12.A4$29.A$7.A19.A.A$5.3A21.A$6.3A$6.A!

There is certainly no shortage of fuses in this rule, but here's one which converts blocks to pairs of p2 oscillators:

Code: Select all

x = 108, y = 6, rule = BTCA1
6.A$A4.3A$.2B.5A.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.
2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2B.5A.2A2.2A2.2A2.2A
2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A
2.2A2.2A2.2A2.2A$A4.3A$6.A!

[BlinkerSpawn]

A triple pinwheel puffer:

Code: Select all

x = 14, y = 23, rule = BTCA1
A.A$.2A$3A4$3.A.A$4.2A$3.3A2$7.A.A$8.2A$4.B2.3A$3.B$11.A.A$12.2A$.A.A
4.B2.3A$2.2A3.2B.B$.3A5.2B$8.3B$5.A.A$6.2A$5.3A!

The p7 is a good small-glider eater.

Code: Select all

x = 70, y = 19, rule = BTCA1
7.B.B$7.2B8.B.B$7.3B7.2B8.B.B$17.3B7.2B8.B.B$27.3B7.2B8.B.B$37.3B7.2B
8.B.B$47.3B7.2B8.B.B$57.3B7.2B$67.3B4$11.A29.A$2A9.3A6.2A8.3A8.3A6.2A
8.3A$3A6.5A6.3A7.AB2A5.5A6.3A7.AB2A$.3A6.5A6.3A6.2ABA6.5A6.3A6.2ABA$
2.2A6.3A9.2A7.3A6.3A9.2A7.3A$12.A29.A!

[c0b0p0]

Here is a p108.

Code: Select all

x = 27, y = 31, rule = BTCA1
.A23.B$.2A21.2B$4A19.4B$2A23.2B24$2B23.2A$4B19.4A$.2B21.2A$.B23.A!

[c0b0p0]

The p108 and a few pinwheels can convert a glider into a gigantic spark using the reaction shown below.

Code: Select all

x = 35, y = 66, rule = BTCA1
3.B$.3B$.3B$3B13$24.A$22.3A$23.3A$23.A3$32.A$32.3A$31.3A$33.A10$5.A
23.B$5.2A21.2B$4.4A19.4B$4.2A23.2B24$4.2B23.2A$4.4B19.4A$5.2B21.2A$5.
B23.A!

[BlinkerSpawn]

Two p108s make very large sparks:

Code: Select all

x = 83, y = 31, rule = BTCA1
.A23.B31.B23.A$.2A21.2B31.2B21.2A$4A19.4B29.4B19.4A$2A23.2B29.2B23.2A
24$2B23.2A29.2A23.2B$4B19.4A29.4A19.4B$.2B21.2A31.2A21.2B$.B23.A31.A
23.B!

[knightlife]

Found (many) pinwheel terminations for p108 oscillator and a p108 wick:

Code: Select all

x = 204, y = 374, rule = BTCA1
11.B$9.3B$10.3B$10.B6$.B$.3B$3B$2.B4$17.3A$16.4A$16.3AB$16.2AB3A$19.
2A$19.A24$47.A$46.2A$45.3AB2A$47.B3A$47.4A$47.3A20$71.3A$70.4A$70.3AB
$70.2AB3A$73.2A$73.A24$101.A$100.2A$99.3AB2A$101.B3A$101.4A$101.3A20$
125.3A$124.4A$124.3AB$124.2AB3A$127.2A$127.A24$155.A$154.2A$153.3AB2A
$155.B3A$155.4A$155.3A4$172.B$172.3B$171.3B$173.B6$164.B$162.3B$163.
3B$163.B47$139.B$137.3B$138.3B$138.B3$46.B$44.3B$45.3B$45.B83.B$129.
3B$128.3B$130.B4$35.B109.3A$35.3B106.4A$34.3B107.3AB16.B$36.B107.2AB
3A14.3B$147.2A14.3B$147.A17.B$51.3A$50.4A$50.3AB$50.2AB3A$53.2A$53.A
5$71.B$71.3B$70.3B$72.B75.B$146.3B$147.3B$147.B4$62.B$60.3B$61.3B$61.
B41$44.B$42.3B$43.3B107.B$43.B107.3B$152.3B$152.B4$34.B$34.3B$33.3B
107.B$35.B107.3B$142.3B$144.B2$50.3A$49.4A$49.3AB106.3A$49.2AB3A103.
4A$52.2A104.3AB$52.A105.2AB3A$161.2A$161.A20$182.3A$182.3A$80.A101.3A
3.A$79.2A105.B2A$78.3AB2A101.B3A$80.B3A101.3A$80.4A100.3A$80.3A2$201.
B$201.3B$97.B102.3B$97.3B102.B$96.3B$98.B4$193.B$191.3B$89.B102.3B$
87.3B102.B$88.3B$88.B!

Below is an attempt to make a gun by changing "shuttle" phase and alignment.
Behavior is similar to GGG in CGOL and could quite possibly produce a gun.

[c0b0p0]

Here is a dirty 90-degree reflector.

Code: Select all

x = 43, y = 69, rule = BTCA1
35.B$35.3B$35.3B$36.3B10$40.A$40.3A$39.3A$41.A$2.A$3A$.3A$.A3$6.A$6.
3A$5.3A$7.A2$7.A$7.3A$6.3A$8.A7$16.A23.B$16.2A21.2B$15.4A19.4B$15.2A
23.2B24$15.2B23.2A$15.4B19.4A$16.2B21.2A$16.B23.A!