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.

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.

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!

Anyone want to try rebuilding the dual Cordership seed and the Following Gliders seed, after mirror-reflecting one of the component seeds? It would be one good way to jump in and learn about self-constructing circuitry.

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!

Really it might not end up being much more expensive for slmake to build a few extra blocks, compared to building some of the rarer and more expensive still lifes in simsim314's turner toolkit. It's hard to know what to try to optimize sometimes. The rule of thumb seems to be "build the easiest thing that works", followed by "rebuild only if it's easy, and if you really can't stand to look at the previous solution".