The first thing that's probably wrong is that the two Corderships are mirror images of each other. Two single-channel cleanups of mirror-image Corderships would produce mirror-image diamond memory loops in the next cycle, and then half of the grandchildren would come into immediate conflict.dvgrn wrote:Okay, time to pick up this thread again. Here's a first shot at a blueprint for a simple Hashlife-friendly quadratic-growth replicator...

There are various things wrong with this, but it should help with visualization anyway.

It might be interesting to run a simulation of the replication pattern for that case. Maybe it could be arranged for the two incoming recipes to mutually annihilate somehow -- but with the Corderships leading the way, I'm not sure how that would work. It would definitely be more complicated, and we probably don't need any extra complexity in this project.

If the two Corderships are just 90-degree rotated copies of each other, I think there's never any conflict between a given set of descendants. The replication pattern should end up looking Langton's-Loop-ish, very similar to the QGC1 patterns toward the beginning of this thread.

Anyway, a few minutes more with Seeds of Destruction were enough to find an alternate Following Glider that leaves a minimal amount of junk as a target, and bounces the output glider in the other direction:

Code: Select all

```
x = 288, y = 64, rule = B3/S23
33bo119bo119bo$32b3o117b3o117b3o$31b2ob2o115b2ob2o115b2ob2o$17bo14b3o
102bo14b3o102bo14b3o$16b3o14bo102b3o14bo102b3o14bo$15bo3bo11bobo101bo
3bo11bobo101bo3bo11bobo$14b3o2b2o9b4o100b3o2b2o9b4o100b3o2b2o9b4o$15bo
3bo10bo104bo3bo10bo104bo3bo10bo$16bo2bo116bo2bo116bo2bo$8b2o6bobo11b2o
b2o93b2o6bobo11b2ob2o93b2o6bobo11b2ob2o$8b2o19bo5bo92b2o19bo5bo92b2o
19bo5bo$30bo3bo115bo3bo115bo3bo$33bo119bo119bo2$15b2obo116b2obo116b2ob
o$15b5o115b5o115b5o$16b4o116b4o116b4o$3b2o42bo75b2o42bo75b2o42bo$bo14b
3o18bo6b4o73bo14b3o18bo6b4o73bo14b3o18bo6b4o$bo4bo9b3o18bo5bo3bo73bo4b
o9b3o18bo5bo3bo73bo4bo9b3o18bo5bo3bo$o5bo4b2o4bo102bo5bo4b2o4bo102bo5b
o4b2o4bo$b2o3bo4b3o29b3o75b2o3bo4b3o29b3o75b2o3bo4b3o29b3o$b2obo6b4o
106b2obo6b4o106b2obo6b4o$8bob3o2b2o111bob3o2b2o111bob3o2b2o$9b2o2bob2o
112b2o2bob2o112b2o2bob2o$9bo6b2o111bo6b2o111bo6b2o$13bo2bo116bo2bo116b
o2bo$13b3o117b3o117b3o$20b2o118b2o118b2o$20b2o118b2o118b2o$19bo2bo116b
o2bo116bo2bo$19b2obo116b2obo116b2obo$23b3o117b3o117b3o$23b2o118b2o118b
2o$27bo2b2o9b2o104bo2b2o9b2o104bo2b2o9b2o$26b2o4bob2o5b2o103b2o4bob2o
5b2o103b2o4bob2o5b2o$26b2obobo114b2obobo114b2obobo$28b2o118b2o118b2o5$
33b2o118b2o118b2o$33b2o118b2o118b2o8$14b2o$15b2o$14bo$237bo$237b2o$
236bobo5$121bo$121b2o$120bobo!
```

I mentioned on the Splitters with Common SL thread that I'm not any good yet at using simsim314's collections of one-time turners to solve timing adjustment problems. To do the final adjustment I ended up using my old Blockic toolkit, because it has all sixteen classes of 180-degree turns that might be needed, whereas I only seem to be able to find eight classes in some of simsim314's reports.

Code: Select all

```
x = 164, y = 418, rule = LifeHistory
15.A.A.A2.A5.A4.2A4.A4.A4.A.A.A2.A.A.A58.A.A.A5.2A4.A7.A2.A.A.A$13.A
19.2B12.A9.B59.A11.2B16.B$22.A5.A3.A2.A3.A4.A11.A71.A2.A3.A7.A2.A$13.
A9.B3.B12.BA.B3.A9.B59.A18.BA3.AB4.B$22.A.A.A.A2.A4.A2.A2.A.A6.2A3.A.
A.A58.A.A5.A4.A2.A2.A.A2.A2.A.A.A$13.A9.B3.B4.B2AB7.B3.A4.BA3.B65.A4.
B2AB15.B$22.A5.A2.A4.A2.A4.A11.A70.A4.A2.A7.A2.A$13.A33.A5.A3.B65.A
23.B$15.A.A.A2.A5.A2.A4.A2.A4.A4.A.A4.A.A.A56.A.A.A5.A4.A2.A7.A2.A.A.
A13$41.2B$39.5B$37.7B$36.10B96.B$36.10B2A93.3B$9.2A.A24.9B2A61.2A.A
27.4B$9.A.2A25.11B60.A.2A27.2B2AB$7.2A4.2A21.13B58.2A4.2A25.2B2AB$7.A
5.A21.15B57.A5.A22.11B3.2B$8.A5.A19.3B2A12B57.A5.A19.17B2A$7.2A4.2A
18.4B2A12B56.2A4.2A18.18B2A$7.A5.A18.4B2.13B56.A5.A18.20B$8.A5.A16.4B
3.12B58.A5.A16.4B.16B$7.2A4.2A15.4B4.5B.4B59.2A4.2A15.4B2.11B.2B$7.A
5.A15.4B5.2A5.4B58.A5.A15.4B5.10B$8.A5.A13.4B6.2A6.4B58.A5.A13.4B6.2A
B.2B.4B$7.2A4.2A12.4B16.4B56.2A4.2A12.4B7.2AB5.4B$9.2A.A13.4B18.4B57.
2A.A13.4B17.4B$9.A.2A12.4B9.2A9.4B56.A.2A12.4B19.4B$24.4B22.4B70.4B
21.4B$23.4B24.4B68.4B23.4B$22.4B26.4B66.4B25.4B$21.D3B28.4B64.D3B27.
4B$20.BDBD30.3B63.BDBD14.A14.4B$19.2B2D29.6B61.2B2D31.3B$18.4B30.6B
60.4B30.6B$17.4B21.A6.2A7B59.4B31.6B$16.4B29.2A7B58.4B22.A6.2A7B$15.
4B30.12B54.4B30.2A7B$14.4B33.11B52.4B31.12B$13.4B33.8B2A3B50.4B34.11B
$12.4B34.8B2A2B50.4B34.8B2A3B$11.4B36.9B51.4B35.8B2A2B$10.4B36.8B52.
4B37.9B$9.4B36.9B51.4B37.8B$8.4B36.4B.4B51.4B37.9B$7.4B36.4B.5B50.4B
37.4B.4B$6.4B36.2C2B2.5B49.4B37.4B.5B$5.4B36.CBCB4.5B47.4B37.2C2B2.5B
$4.4B38.BC5.2B2AB46.4B37.CBCB4.5B$3.4B48.2A46.4B39.BC5.2B2AB$2.4B96.
4B49.2A$.4B96.4B$4B96.4B$3B97.3B$2B98.2B$B99.B6$143.2A4.2A$140.2B.2AB
3.2A$38.2B99.12B$7.2A28.2AB67.2A29.12B$8.A27.B2A3B66.A28.12B$7.A27.8B
64.A29.13B$7.2A24.10B64.2A27.14B$32.2A9B93.14B$7.2A23.2A8B65.2A25.11B
2A2B4.2B$8.A23.11B65.A25.5B2A4B2A3B.5B$7.A23.13B63.A26.5B2A16B$7.2A
21.4B3.8B62.2A21.27B$29.4B4.3B2.4B83.27B$7.2A19.4B6.2B3.4B60.2A19.28B
$8.A18.4B13.4B60.A19.29B$7.A18.4B15.4B58.A18.33B$7.2A16.4B17.4B57.2A
16.35B$24.4B19.4B73.35B$23.4B21.4B71.4B.30B$22.4B23.4B69.4B2.29B$21.D
3B25.4B67.D3B6.17B.7B$20.BDBD27.4B65.BDBD9.5BA8B4.B.4B$19.2B2D14.A14.
4B63.2B2D10.15B6.3B$18.4B31.4B2.2B57.4B12.14B4.6B$17.4B32.2A2B.4B55.
4B13.14B4.6B$16.4B25.A2.2A3B2A7B54.4B18.2B.BA4B2.2A7B$15.4B26.A2.2A
13B52.4B21.7B2.2A7B$14.4B32.13B51.4B23.6B2.12B$13.4B33.14B49.4B24.6B
4.11B$12.4B34.14B48.4B26.5B3.8B2A3B$11.4B36.12B48.4B28.3B4.8B2A2B$10.
4B36.11B49.4B37.9B$9.4B36.12B48.4B37.8B$8.4B36.10B2A48.4B37.9B$7.4B
36.11B2A47.4B37.4B.4B$6.4B36.2C2B.7B48.4B37.4B.5B$5.4B36.CBCB2.5B49.
4B37.2C2B2.5B$4.4B38.BC4.3B49.4B37.CBCB4.5B$3.4B96.4B39.BC5.2B2AB$2.
4B96.4B49.2A$.4B96.4B$4B96.4B$3B97.3B$2B98.2B$B99.B4$41.2B$39.5B$37.
7B$36.10B96.B$36.10B2A93.3B$9.2A.A24.9B2A61.2A.A27.4B$9.A.2A25.11B60.
A.2A27.2B2AB$13.2A21.13B64.2A25.2B2AB$13.A21.15B63.A22.11B3.2B$14.A
19.3B2A12B63.A19.17B2A$13.2A18.4B2A12B62.2A18.18B2A$9.2A.A19.4B2.13B
58.2A.A19.20B$9.A.2A18.4B3.12B59.A.2A18.4B.16B$7.2A21.4B4.5B.4B59.2A
21.4B2.11B.2B$7.A21.4B5.2A5.4B58.A21.4B5.10B$8.A19.4B6.2A6.4B58.A19.
4B6.2AB.2B.4B$7.2A18.4B16.4B56.2A18.4B7.2AB5.4B$9.2A.A13.4B18.4B57.2A
.A13.4B17.4B$9.A.2A12.4B9.2A9.4B56.A.2A12.4B19.4B$24.4B22.4B70.4B21.
4B$23.4B24.4B68.4B23.4B$22.4B26.4B66.4B25.4B$21.D3B28.4B64.D3B27.4B$
20.BDBD30.4B62.BDBD14.A14.4B$19.2B2D32.4B60.2B2D31.4B$18.4B33.4B59.4B
33.4B$17.4B21.A7.2AB.7B56.4B34.4B$16.4B30.2AB.9B53.4B22.A7.2AB.7B$15.
4B33.11B52.4B31.2AB.9B$14.4B34.7B2A3B50.4B34.11B$13.4B35.7B2A2B50.4B
35.7B2A3B$12.4B36.10B50.4B36.7B2A2B$11.4B36.11B49.4B37.10B$10.4B36.9B
51.4B37.11B$9.4B36.4B2.6B48.4B37.9B$8.4B36.4B3.2B.B2A47.4B37.4B2.6B$
7.4B36.4B7.B2A46.4B37.4B3.2B.B2A$6.4B36.2C2B56.4B37.4B7.B2A$5.4B36.CB
CB56.4B37.2C2B$4.4B38.BC56.4B37.CBCB$3.4B96.4B39.BC$2.4B96.4B$.4B96.
4B$4B96.4B$3B97.3B$2B98.2B$B99.B6$143.2A4.2A$140.2B.2AB3.2A$41.B97.
12B$7.2A.A29.3B64.2A.A27.12B$7.A.2A28.4B64.A.2A26.12B$11.2A26.5B67.2A
24.13B$11.A27.5B67.A24.14B$12.A22.15B62.A23.14B$11.2A20.17B61.2A21.
11B2A2B4.2B$7.2A.A21.5B2A13B55.2A.A23.5B2A4B2A3B.5B$7.A.2A20.6B2A10B
2A2B54.A.2A23.5B2A16B$11.2A17.4B.14B2A2B58.2A17.27B$11.A17.4B2.16B60.
A17.27B$12.A15.4B5.12B63.A15.28B$11.2A14.4B6.2AB.2B2.4B62.2A15.29B$7.
2A.A15.4B7.2AB6.4B57.2A.A15.33B$7.A.2A14.4B18.4B56.A.2A14.35B$24.4B9.
2A9.4B72.35B$23.4B22.4B70.4B.30B$22.4B24.4B68.4B2.29B$21.D3B26.4B2A
64.D3B6.17B.7B$20.BDBD28.3B2AB62.BDBD9.5BA8B4.B.4B$19.2B2D30.5B61.2B
2D10.15B6.4B$18.4B31.6B59.4B12.14B7.4B$17.4B32.7B57.4B13.14B7.4B$16.
4B21.A9.8B2A55.4B18.2B.BA4B3.2AB.7B$15.4B31.9B2AB53.4B21.7B3.2AB.9B$
14.4B32.12B52.4B23.6B5.11B$13.4B35.8B53.4B24.6B5.7B2A3B$12.4B36.8B52.
4B26.5B5.7B2A2B$11.4B36.4B.3B52.4B28.3B6.10B$10.4B36.4B56.4B37.11B$9.
4B36.4B56.4B37.9B$8.4B36.4B56.4B37.4B2.6B$7.4B36.4B56.4B37.4B3.2B.B2A
$6.4B36.2C2B56.4B37.4B7.B2A$5.4B36.CBCB56.4B37.2C2B$4.4B38.BC56.4B37.
CBCB$3.4B96.4B39.BC$2.4B96.4B$.4B96.4B$4B96.4B$3B97.3B$2B98.2B$B99.B
6$43.B97.B$42.3B94.4B$41.4B94.6B$7.2A3.2A27.2B2AB61.2A3.2A24.3B2A2B.B
2A$7.2A3.2A27.2B2AB61.2A3.2A24.3B2A2B.B2A$37.11B3.2B83.13B$7.2A3.2A
21.17B2A53.2A3.2A21.12B$7.A.A.A.A20.18B2A53.A.A.A.A20.14B$9.A.A21.20B
56.A.A21.15B$8.2A.A20.4B.16B55.2A.A20.4B2.8B$12.2A17.4B2.11B.2B61.2A
17.4B5.6B$13.A16.4B5.10B64.A16.4B4.9B$12.A16.4B6.2AB.2B.4B62.A16.4B5.
2A4.4B$12.2A14.4B7.2AB5.4B61.2A14.4B6.2A5.4B$13.A13.4B17.4B61.A13.4B
15.4B$12.A13.4B19.4B59.A13.4B17.4B$12.2A11.4B21.4B58.2A11.4B19.4B$24.
4B23.4B69.4B21.4B$23.4B25.4B67.4B23.4B$22.4B27.4B65.4B25.4B$21.D3B14.
A14.4B63.D3B27.4B$20.BDBD31.4B2.2B57.BDBD14.A14.4B$19.2B2D32.2A2B.4B
55.2B2D31.4B$18.4B25.A2.2A3B2A7B54.4B33.4B$17.4B26.A2.2A13B52.4B34.4B
$16.4B32.13B51.4B22.A7.2AB.7B$15.4B33.14B49.4B31.2AB.9B$14.4B34.14B
48.4B34.11B$13.4B36.12B48.4B35.7B2A3B$12.4B36.11B49.4B36.7B2A2B$11.4B
36.12B48.4B37.10B$10.4B36.10B2A48.4B37.11B$9.4B36.11B2A47.4B37.9B$8.
4B36.4B.7B48.4B37.4B2.6B$7.4B36.4B2.5B49.4B37.4B3.2B.B2A$6.4B36.2C2B
4.3B49.4B37.4B7.B2A$5.4B36.CBCB56.4B37.2C2B$4.4B38.BC56.4B37.CBCB$3.
4B96.4B39.BC$2.4B96.4B$.4B96.4B$4B96.4B$3B97.3B$2B98.2B$B99.B5$40.2B$
38.5B$36.7B$35.10B93.2B$9.2A.A22.10B2A62.2A.A24.2AB$9.A.2A23.9B2A62.A
.2A23.B2A3B$7.2A28.11B59.2A26.8B$7.A27.13B59.A25.10B$8.A25.15B59.A23.
2A9B$7.2A24.3B2A12B57.2A23.2A8B$9.2A.A19.4B2A12B59.2A.A19.11B$9.A.2A
18.4B2.13B59.A.2A18.13B$13.2A15.4B3.12B64.2A15.4B3.8B$13.A15.4B4.5B.
4B66.A15.4B4.3B2.4B$14.A13.4B5.2A5.4B66.A13.4B6.2B3.4B$13.2A12.4B6.2A
6.4B64.2A12.4B13.4B$9.2A.A13.4B16.4B59.2A.A13.4B15.4B$9.A.2A12.4B18.
4B58.A.2A12.4B17.4B$24.4B9.2A9.4B72.4B19.4B$23.4B22.4B70.4B21.4B$22.
4B24.4B68.4B23.4B$21.D3B26.4B2A64.D3B25.4B$20.BDBD28.3B2AB62.BDBD27.
4B$19.2B2D30.5B61.2B2D14.A14.4B$18.4B31.6B59.4B31.3B$17.4B32.7B57.4B
30.6B$16.4B21.A9.8B2A55.4B31.6B$15.4B31.9B2AB53.4B22.A6.2A7B$14.4B32.
12B52.4B30.2A7B$13.4B35.8B53.4B31.12B$12.4B36.8B52.4B34.11B$11.4B36.
4B.3B52.4B34.8B2A3B$10.4B36.4B56.4B35.8B2A2B$9.4B36.4B56.4B37.9B$8.4B
36.4B56.4B37.8B$7.4B36.4B56.4B37.9B$6.4B36.2C2B56.4B37.4B.4B$5.4B36.C
BCB56.4B37.2C2B.5B$4.4B38.BC56.4B37.CBCB2.5B$3.4B96.4B39.BC4.5B$2.4B
96.4B46.2B2AB$.4B96.4B49.2A$4B96.4B$3B97.3B$2B98.2B$B99.B6$43.B$42.3B
97.2A4.2A$41.4B94.2B.2AB3.2A$9.2A.A28.5B63.2A.A25.12B$9.A.2A28.5B63.A
.2A24.12B$7.2A28.15B55.2A27.12B$7.A27.17B55.A28.13B$8.A25.5B2A13B54.A
26.14B$7.2A24.6B2A10B2A2B52.2A26.14B$9.2A.A19.4B.14B2A2B54.2A.A20.11B
2A2B4.2B$9.A.2A18.4B2.16B56.A.2A20.5B2A4B2A3B.5B$7.2A4.2A15.4B5.12B
56.2A4.2A18.5B2A16B$7.A5.A15.4B6.2AB.2B2.4B56.A5.A15.27B$8.A5.A13.4B
7.2AB6.4B56.A5.A13.27B$7.2A4.2A12.4B18.4B54.2A4.2A12.28B$9.2A.A13.4B
9.2A9.4B55.2A.A14.29B$9.A.2A12.4B22.4B54.A.2A12.33B$24.4B24.4B68.35B$
23.4B26.4B66.35B$22.4B28.4B64.4B.30B$21.D3B30.3B63.D3B2.29B$20.BDBD
29.6B61.BDBD6.17B.7B2A$19.2B2D30.6B60.2B2D9.5BA8B4.B.3B2AB$18.4B21.A
6.2A7B59.4B10.15B6.5B$17.4B29.2A7B58.4B12.14B6.6B$16.4B30.12B54.4B13.
14B6.7B$15.4B33.11B52.4B18.2B.BA4B5.8B2A$14.4B33.8B2A3B50.4B21.7B4.9B
2AB$13.4B34.8B2A2B50.4B23.6B4.12B$12.4B36.9B51.4B24.6B6.8B$11.4B36.8B
52.4B26.5B6.8B$10.4B36.9B51.4B28.3B6.4B.3B$9.4B36.4B.4B51.4B37.4B$8.
4B36.4B.5B50.4B37.4B$7.4B36.4B2.5B49.4B37.4B$6.4B36.2C2B4.5B47.4B37.
4B$5.4B36.CBCB5.2B2AB46.4B37.2C2B$4.4B38.BC8.2A46.4B37.CBCB$3.4B96.4B
39.BC$2.4B96.4B$.4B96.4B$4B96.4B$3B97.3B$2B98.2B$B99.B2$38.4B$36.6B$
33.2B.6B$32.2A4B2A3B$30.2B2A4B2A3B$29.13B$29.11B98.2B$7.A.2A17.12B67.
A.2A26.2AB$7.2A.A18.10B68.2A.A25.B2A3B$11.2A17.9B72.2A22.8B$12.A19.7B
73.A20.10B$11.A20.3B.4B71.A20.2A9B$11.2A20.3B.4B70.2A19.2A8B$9.2A21.
4B2.4B67.2A21.11B$10.A20.3B2A3.4B67.A20.13B$9.A20.4B2A4.4B65.A20.4B3.
8B$9.2A18.4B8.4B64.2A18.4B4.3B2.4B$7.2A19.4B10.4B61.2A19.4B6.2B3.4B$
8.A18.4B12.4B61.A18.4B13.4B$7.A18.4B14.4B59.A18.4B15.4B$7.2A16.4B16.
4B58.2A16.4B17.4B$24.4B18.4B74.4B19.4B$23.4B9.2A9.4B72.4B21.4B$22.4B
22.4B70.4B23.4B$21.D3B24.4B68.D3B25.4B$20.BDBD26.4B66.BDBD27.4B$19.2B
2D28.4B64.2B2D14.A14.4B$18.4B30.4B62.4B31.4B$17.4B32.4B60.4B33.4B$16.
4B33.4B59.4B34.4B$15.4B21.A7.2AB.7B56.4B22.A7.2AB.7B$14.4B30.2AB.9B
53.4B31.2AB.9B$13.4B33.11B52.4B34.11B$12.4B34.7B2A3B50.4B35.7B2A3B$
11.4B35.7B2A2B50.4B36.7B2A2B$10.4B36.10B50.4B37.10B$9.4B36.11B49.4B
37.11B$8.4B36.9B51.4B37.9B$7.4B36.4B2.6B48.4B37.4B2.6B$6.4B36.2C2B3.
2B.B2A47.4B37.4B3.2B.B2A$5.4B36.CBCB7.B2A46.4B37.2C2B7.B2A$4.4B38.BC
56.4B37.CBCB$3.4B96.4B39.BC$2.4B96.4B$.4B96.4B$4B96.4B$3B97.3B$2B98.
2B$B99.B!
```