## Stable line crosser challenge (COMPLETED)

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

### Stable line crosser challenge (COMPLETED)

Here's David Bell's "line crosser" mechanism from 2006. Fair warning, like the triple wickstretcher it's a bit too big and slow to be particularly fun to watch in LifeViewer. The first action happens a little past T = 10,000 when the line is broken, and the grand finale patching-up isn't done until T = 29232:

`#C A period 44160 diagonal line crossing mechanism.#C This demonstrates how a glider is able to get from one side of a#C diagonal line to the other side without destroying the line.  In#C doing this, the line is broken and stabilized, a glider is sent#C through the gap, and then the gap is healed.  This object uses#C many one-shot period 44160 glider guns having the proper#C synchronization.  The input glider comes from the lower left and#C is duplicated many times in order to enable all of the guns.#C The final glider emerges at the upper right.  The reaction can be#C repeated using input gliders at any multiple of 44160 generations.#C Note: This is a highly unoptimized version of a line crosser,#C and can easily be improved.#C David I. Bell, August 2006x = 4632, y = 4921, rule = 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With a dozen years of B3/S23 technological developments between 2006 and now, it seems like it might be interesting to put together a stable version of this pattern, with no timing constraints as to when the input glider can come in. (The current version only gives a glider one chance to cross the line every 44160 ticks.)

I found the following pattern in an old email, about inserting a glider right next to a diagonal line as required by the line-cutting recipe. In 2006 we needed this kind of crazy conglomeration, because a plain old NW31 or Fx119 inserter wasn't quite good enough by itself:

`x = 192, y = 176, rule = B3/S2348b2o\$48bo\$49bo\$50bo\$51bo\$52bo\$53bo\$54bo\$55bo\$56bo\$57bo\$58bo\$59bo\$60bo\$61bo\$62bo\$63bo\$64bo\$65bo\$50b2o14bo\$50b2o15bo\$33b2o33bo\$34bo34bo\$34bobo33bo\$35b2o34bo\$72bo\$16b2o55bo\$74bo\$14bo3bo56bo\$14bo4bo56bo\$16bobobo8bo47bo\$17bobobo5b3o6b2o40bo\$18bo4bo2bo8bobo41bo\$19bo3bo2b2o7bo44bo\$34b2o45bo\$20b2o2bo57bo\$23bobo57bo\$24b2o2b2o54bo\$16bo11b2o3b2ob2o2b2o43bo\$14b3o17bobo2bobo44bo\$13bo19bo3b2o16b2o30bo\$13b2o19b2obo17bo32bo\$3b2o30bobo2bo15b3o30bo\$4bo30bobobobo16bo31bo\$4bobo29b2ob2o50bo\$5b2o4b2o79bo\$10bo2bo79bo\$11b2o81bo\$23b2o70bo\$23b2o71bo\$9b3o54bo30bo\$11bo86bo\$10bo53bob3o30bo\$66b2obo8bo21bo\$66bob2o6b3o22bo\$54b2o11b3obo3bo26bo\$54b2o19b2o26bo\$9b2o3b2o32b2o19bo34bo\$10bo3bo33b2o23bo31bo\$7b3o5b3o54bobo31bo\$7bo9bo55b2o2b2o28bo\$50b2o13bo11b2o29bo\$43b2o5b2o11b3o43bo\$43b2o17bo47bo\$62b2o47bo\$52b2o58bo\$53bo59bo\$53bobo58bo\$54b2o4b2o38bo14bo\$59bo2bo35b3o15bo\$60b2o35bo19bo\$72b2o23b2o19bo\$72b2o45bo\$120bo\$121bo\$122bo\$123bo\$124bo\$109b2o14bo\$108bo2bo14bo\$58b2o3b2o44b2o16bo\$59bo3bo20b2o42bo\$56b3o5b3o18bo43bo\$56bo9bo15b3o6bob2o17b2o16bo\$82bo6b3ob2o17bo18bo\$88bo24b3o16bo\$89b3ob2o20bo17bo\$91bobo40bo\$91bobo41bo\$92bo10b2o31bo\$103bo33bo\$104b3o31bo\$106bo32bo\$140bo\$141bo\$142bo\$143bo\$144bo\$145bo\$146bo\$147bo\$148bo\$149bo\$150bo\$151bo\$152bo\$153bo\$154bo\$155bo\$156bo\$157bo\$158bo\$159bo\$160bo\$161bo\$162bo\$101bobo59bo\$102b2o60bo\$102bo62bo\$166bo\$167bo\$168bo\$169bo\$170bo\$171bo\$172bo\$173bo\$174bo\$175bo\$176bo\$bo175bo\$b2o175bo\$obo176bo\$180bo\$181bo\$182bo\$183bo\$184bo\$185bo\$186bo\$187bo\$159b2o27bo\$134bo9bo15bo28bobo\$134b3o5b3o15bobo27b2o\$137bo3bo19b2o\$136b2o3b2o3\$182b2o\$182b2o4\$150b2o\$150b2o\$138b2o\$137bo2bo\$132b2o4b2o\$131bobo\$131bo\$130b2o\$140b2o\$140bo29b2o\$141b3o27bo6b2o\$143bo11b2o11b3o7bo\$151b2o2b2o11bo10b3o\$150bobo28bo\$151bo\$147bo\$146b3o4b2o\$145bob3o3bo\$144bo3bo5b3o\$143bo3bo8bo\$142b3obo\$143b3o\$144bo!`

But now we have BNE14T130s to simplify things a bit:

`x = 302, y = 296, rule = LifeHistory200.2A\$200.A\$201.A\$202.A\$150.2A51.A\$150.A.A47.B3.A\$152.A4.2A41.2B3.A\$148.4A.2A2.A2.A39.3B3.A\$148.A2.A.A.A.A.2A39.4B3.A\$150.BABABA.A43.4B3.A\$151.B2ABA.A44.4B3.A\$152.2B.BA46.4B3.A\$151.3B50.4B3.A\$142.2A6.4B51.4B3.A\$143.A6.B2A3B35.A11.2B.4B3.A\$143.A.AB3.B2A3B35.3A6.11B3.A\$144.2AB.10B36.A4.3B2A8B3.A\$146.13B22.2A10.2A4.3B2A9B3.A\$146.14B22.A10.5B2.14B3.A\$146.15B21.A.AB9.4B2.14B3.A\$148.8B2.4B10.A10.2AB.3B4.22B3.A\$148.6B5.4B7.3A12.7B.9BD14B3.A\$147.9B4.4B5.A15.17B2D14B3.A\$146.4B4.2A5.4B4.2A15.17B2D14B3.A\$145.4B5.A7.9B14.18BD16B3.A\$144.4B7.3A5.6B14.19BD18B3.A\$158.A5.6B3.B2.2B2.25B.16B3.A\$155.2A2.A4.19BD13B2.6B2.2B.8B.4B3.A\$154.A2.2AB3.20BDBD4B.6B4.3B6.7B3.4B3.A\$140.2A12.2A2.14B2A9B3D4B2.B.5B13.4B5.4B3.A\$139.ABAB16.13B2A11BD4B7.2A14.4B5.4B3.A\$138.3BA18.29B8.A13.A.A.A.A5.4B3.A\$140.B19.17B.4B16.3A9.A.2A.2A.A5.4B3.A\$161.15B2.5B17.A9.A3.A3.A6.4B3.A\$161.15B2.2B.A2B.2A22.2A3.A.2A8.4B3.A\$162.13B5.A.A2B.A28.A11.4B3.A\$164.13B2.A.AB2.A27.A.A12.2BDB3.A\$163.8B4.2A.A.A3.A28.2A14.2B2D3.A\$163.6B6.2ABA2.4A.A43.2D5.A\$163.5B8.B2.A.A3.A.A50.A\$163.B.B9.2A.2A2.A2.A.A51.A\$164.3B9.A.A2.2A3.A53.A\$163.B2AB9.A.A62.A\$164.2A11.A64.A\$243.A\$244.A\$245.A\$16B2A190.8B2D28.A\$15B4A189.7B4D28.A\$15B2AB2A188.7B2DB2D28.A\$17B2A189.9B2D26.B3.A\$18B190.10B26.B.B3.A\$244.B2.B3.A\$242.BD.2B5.A\$242.B2D8.A\$241.BDBD2B7.A\$240.7B8.A\$239.9B8.A\$238.6B3DB9.A\$237.4B.2BD2BD10.A\$236.4B2.2BD3B11.A\$235.4B4.BD3B12.A\$234.4B3.4BDBD13.A\$233.D3B4.7B14.A\$232.B2DB4.8B15.A\$231.BDBD4.9B16.A\$230.4B4.4B.5B17.A\$229.4B4.D3B2.5B12.3D3.A\$228.4B4.B2DB3.5B12.D3B3.A\$227.4B4.BDBD4.5B13.D3B3.A\$226.4B4.4B5.5B14.4B3.A\$225.4B4.4B6.5B15.4B3.A\$224.4B4.4B7.5B16.4B3.A\$223.4B4.4B8.5B17.4B3.A\$222.4B4.4B9.5B18.4B3.A\$221.4B4.4B10.5B19.4B3.A\$220.4B4.4B11.5B20.4B3.A\$219.4B4.4B12.5B21.4B3.A\$218.4B4.4B13.5B22.4B3.A\$217.4B4.4B14.5B16.2A5.4B3.A\$216.4B4.4B15.5B3D12.A2.A3.6B3.A\$215.4B4.4B16.4BD2BD12.A.A.B.8B3.A\$214.4B4.4B17.7BDB9.2A2.2A11B3.A\$213.4B4.4B18.7BDB8.A2.2A2.12B3.A\$212.4B4.4B19.4BDBD2B8.2A3.2A13B3.A\$211.4B4.4B20.9B13.A2.13B3.A\$210.4B4.4B21.9B14.A2.13B3.A\$209.4B4.4B22.9B11.3A3.14B3.A\$208.4B4.4B23.9B11.A7.13B3.A\$208.3B4.4B24.9B18.15B3.A\$270.16B3.A\$271.16B3.A\$272.11B.4B3.A\$270.4BD9B.4B3.A\$269.4B3D4B2A2B2.4B3.A\$269.3BD2B2D3B2AB4.4B3.A\$269.14B5.4B3.A\$264.2A4.8B.4B6.4B3.A\$265.A4.8B2.2B8.4B3.A\$265.A.AB2.8B12.4B3.A\$266.2AB2.9B12.4B3.A.A\$268.12B20.2A\$268.12B\$268.10B.B2A\$269.8B2.BA.A\$268.8B6.A\$269.8B5.2A\$270.7B\$267.11B\$266.12B\$257.2A7.12B\$256.A2.A2.2A2.11B\$257.2A2.A.A2.B3D4B.4B\$259.2A.B3.2BD4B4.2A\$259.A2.2B2.2B3D2B4.A\$256.2A.A.BA2B.6B6.3A\$256.A.2A.A.A8B8.A\$260.A.A.8B\$257.2A2.A.8B\$255.3A.2A2.8B\$254.A4.B6.6B\$255.3AB2AB3.7B\$257.A.2AB.8B\$261.10B\$261.6B2A3B\$261.6B2A2B5.2A\$261.10B5.A\$260.11B2.BA.A\$260.12B.B2A\$259.15B\$258.16B\$255.2B.16B\$254.2A18B\$254.2AB.17B\$255.B.4B.8B2.4B\$262.7B4.4B\$263.6B5.4B\$265.4B6.4B10.2A\$267.3BA5.4B9.A\$268.BA.A5.4B10.A\$269.A2.A5.4B5.5A\$270.A.A5.4B4.A\$268.A.A.A.AB.7B2.B3A\$268.2A3.2AB.7B3.2B.A\$275.12B4A\$275.7B2A3BAB2.2A\$275.7B2A2B.B3A2.A\$275.10B3.B.A.2A\$274.8B8.A\$273.9B7.2A\$272.4B2.3B\$271.4B3.5B\$272.2B7.2A\$142.BA128.B8.A\$142.B2A137.3A\$141.BABA139.A\$140.5B\$139.3B123.2A\$138.4B122.2B2A\$137.4B124.AB\$136.4B125.B\$135.4B\$134.4B3.B\$133.A3B4.B\$132.B2AB4.2B\$131.BABA4.3B\$130.4B4.4B\$129.4B4.A3B\$128.4B4.B2AB\$127.4B4.BABA\$126.4B4.4B\$125.4B4.4B\$124.4B4.4B\$123.4B4.4B\$122.4B4.4B\$121.4B4.4B\$120.4B4.4B\$119.4B4.4B\$118.4B4.4B\$117.4B4.4B\$116.4B4.4B\$115.4B4.4B\$114.4B4.4B\$113.4B4.4B\$112.4B4.4B\$111.4B4.4B\$110.4B4.4B\$109.4B4.4B\$108.4B4.4B\$107.4B4.4B\$106.4B4.4B\$105.4B4.4B\$104.4B4.4B\$103.4B4.4B\$102.4B4.4B\$101.4B4.4B62\$242.6B\$242.2B3AB\$242.2BA2BA\$242.2BA3B\$243.BA3B\$242.3BABA\$242.6B\$242.6B\$242.6B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B\$243.5B3A\$243.4BA2BA\$243.7BAB\$243.7BAB\$243.4BABA2B\$243.9B\$243.9B\$243.9B\$243.9B\$243.9B\$243.9B\$243.9B\$243.9B\$243.9B\$243.9B\$243.9B!`

The final version can't look quite like this -- have to leave room for another edge shooter inside those two. Maybe it should just be two more BNE14T130s, though they aren't strictly necessary since there are two more lanes of clearance for the parallel-to-the-line gliders in the final patching recipe:

`x = 121, y = 122, rule = LifeHistory3.3B\$3.4B\$4.4B\$5.4B84.4B\$6.2BAB82.4B\$7.2B2A80.4B\$8.2A2B78.4B\$9.4B76.4B\$10.4B74.ABAB\$11.4B72.B2AB\$12.4B70.3BA\$13.4B68.4B\$14.4B66.4B\$15.4B64.4B\$16.4B62.5B\$17.4B60.5B\$18.4B8.2A48.5B\$19.4B7.A48.2BA2B\$20.4B7.A46.B2A2B\$21.4B7.A41.B2.3B2A\$22.4B7.A39.8B\$23.4B7.A37.8B\$24.4B7.A35.8B\$25.4B7.A33.8B5.3B\$26.4B7.A31.A7B5.4B\$27.4B7.A29.A7B5.4B\$28.4B7.A27.B3A4B5.4B\$29.4B7.A25.8B5.4B\$30.4B7.A23.8B5.ABAB\$31.4B7.A21.8B5.B2AB\$32.4B7.A19.8B5.3BA\$33.4B7.A17.8B5.4B\$34.4B7.A15.8B5.4B\$35.4B7.A13.8B5.4B\$36.4B7.A11.8B5.4B\$37.4B7.A9.8B5.4B\$38.4B7.A7.8B5.4B\$39.4B7.A5.8B5.4B\$40.4B5.2AD3.8B5.4B\$41.5B2.3B.D.8B5.4B\$42.5B.5BD9B3.4B\$40.14BDB2.6B.4B\$39.3B.12BD.11B\$38.4B3.10B.D51B2A11B\$37.4B4.5B2.3B2.D49B4A10B\$36.4B4.4B5.2B.2BD47B2AB2A10B\$35.4B4.4B5.7BD3.44B2A11B\$34.4B4.4B5.7B2.D3.56B\$33.4B4.4B5.8B.B2A5.4B\$32.4B4.4B5.11BA.A5.4B\$31.4B4.4B5.12B3.A5.4B\$30.4B4.4B5.12B5.A5.4B\$29.4B4.4B5.14B5.A5.4B\$28.4B4.4B5.16B5.A5.4B\$27.4B4.4B5.13B.4B5.A5.4B\$26.4B4.4B5.14B2.4B5.A5.4B\$25.4B4.4B5.15B3.4B5.A5.4B\$24.4B4.4B5.10B.5B4.4B5.A5.4B\$23.4B4.4B5.10B2.5B5.4B5.A5.4B\$22.4B4.4B5.3B3A4B3.5B6.4B5.A5.4B\$21.4B4.4B5.6BA3B4.5B7.4B5.A5.4B\$20.4B4.4B5.A5BA3B5.5B8.4B5.A5.4B\$19.4B4.4B5.B2A7B6.5B9.4B5.A5.4B\$18.4B4.4B5.BABA6B7.5B10.4B5.A5.4B\$17.4B4.4B5.10B8.5B11.4B5.A5.4B\$16.4B4.4B5.10B9.5B12.4B5.A5.4B\$15.4B4.4B5.4B2.4B10.5B13.4B5.A5.4B\$14.4B4.4B5.4B2.4B11.5B14.4B5.A.A3.4B\$13.4B4.4B6.3B2.4B12.5B15.4B5.2A4.4B\$12.4B4.4B11.A3B13.5B16.4B11.4B\$11.4B4.4B11.B2AB14.5B17.4B11.3BA\$10.4B4.4B11.BABA15.5B18.4B11.B2AB\$9.4B4.2A2B11.4B16.5B19.3BA11.ABAB\$8.4B4.2B2A11.4B17.5B20.B2AB11.4B\$7.4B4.2BAB11.4B18.5B21.ABAB11.4B\$6.4B4.4B11.4B19.5B22.4B11.4B\$5.2A2B4.4B12.3B20.5B23.4B11.3B\$4.2B2A4.2A2B36.5B24.4B11.2B\$3.2BAB4.2B2A37.5B25.4B\$2.4B4.2BAB38.5B26.3B\$.4B4.4B39.5B\$4B4.4B40.5B\$3B4.4B41.5B\$7.3B42.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.2BA2B\$52.B3AB\$52.BAB2A\$52.2B3A\$52.2B2AB\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.5B\$52.3B!`

... Are there known recipes now that can make the cutting or patching recipes a little cheaper?

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge

dvgrn wrote:... Are there known recipes now that can make the cutting or patching recipes a little cheaper?

Assuming I'm understanding what's allowed correctly, here is a cutting recipe that should be better:

`x = 63, y = 63, rule = B3/S2310b2o\$6bo3bo\$7bo3bo\$o4b3o4bo\$b2o10bo\$2o12bo\$15bo\$16bo\$17bo\$18bo\$19bo\$20bo\$21bo\$22bo\$23bo\$24bo\$25bo\$26bo\$27bo\$28bo\$29bo\$30bo\$31bo\$32bo\$33bo\$27bo6bo\$25bobo7bo\$26b2o8bo\$37bo\$38bo\$39bo\$40bo\$41bo\$42bo\$36b3o4bo\$36bo7bo\$37bo7bo\$46bo\$47bo\$48bo\$49bo\$50bo\$51bo\$52bo\$53bo\$54bo\$55bo\$56bo\$3b2o52bo\$4b2o52bo\$3bo55bo\$60bobo\$10b2o49b2o\$9bobo\$11bo\$59b2o\$58b2o\$13b2o45bo\$12bobo\$14bo\$57b2o\$57bobo\$57bo!`

For a long time I tried to make a patching recipe that only came from the SW. I was very close on finding cheap methods multiple times, but they just didn't quite work out. So at the moment I just have this quite large proof-of-concept recipe:

`x = 153, y = 154, rule = B3/S233bo\$4b2o\$3b2o2\$bo\$2bo\$3o2\$9bobo\$10b2o\$10bo8\$16bo\$14bobo\$15b2o\$24bo\$25b2o\$24b2o19\$46bo\$44bobo8b2o\$45b2o8bo\$56bo\$57bo\$58bo\$59bo\$60bo\$61bo\$62bo\$63bo\$64bo\$65bo\$49bo16bo\$50bo16bo\$48b3o17bo\$69bo\$70bo\$71bo\$72bo\$73bo\$74bo\$75bo\$74b2o2\$67bobo\$68b2o\$68bo6\$71bobo11b2o\$72b2o11bobo\$72bo15bo\$89bo\$73b3o14bo\$75bo15bo\$74bo17bo\$93bo\$94bo\$95bo\$96bo\$97bo\$98bo\$99bo\$100bo\$101bo\$102bo\$103bo\$104bo\$54b2o42bo6bobo\$55b2o40b2o7b2o\$54bo42bobo2\$51b2o\$50bobo\$52bo7b3o\$62bo\$61bo2\$41b2o57b3o\$42b2o56bo\$41bo59bo3\$111b2o\$39b2o69b2o\$40b2o70bo\$39bo3\$119bo\$43bo74b2o\$43b2o73bobo\$19b2o21bobo69b2o\$18bobo93bobo\$20bo93bo4\$25bo\$25b2o\$24bobo2\$20b3o\$22bo\$21bo101b2o\$123bobo\$123bo2\$136b3o\$136bo\$2b2o133bo\$3b2o10bo\$2bo12b2o\$9bo4bobo\$9b2o\$8bobo3\$4bo\$4b2o\$3bobo2\$151bo\$150b2o\$150bobo\$5bo\$5b2o\$4bobo!`

I think this is still quite a bit better than the alternative that involves gliders from the NE, as I think that would require something complicated like single-channel-construction, assuming that all the circuitry is supposed to be in the SW. If it is okay of have circuitry in the NE then I should be able to reduce the patching recipe substantially. Either way, this pond inserter is pretty useful:

`x = 65, y = 69, rule = B3/S238b2o\$8bo\$9bo\$10bo\$11bo\$12bo\$13bo\$14bo\$15bo\$16bo\$17bo\$18bo\$19bo\$20bo\$21bo\$22bo\$23bo\$24bo\$25bo\$26bo\$27bo\$28bo\$27b2o10\$38b2o\$38bobo\$41bo\$42bo\$43bo\$44bo\$45bo\$46bo\$47bo\$48bo\$49bo\$50bo\$32b2o3bo13bo\$33b2ob2o14bo\$32bo3bobo14bo\$54bo\$55bo\$56bo\$57bo\$58bobo\$29b3o27b2o\$31bo\$30bo4\$b2o\$obo\$2bo4\$62b3o\$4b3o55bo\$6bo52bo3bo\$5bo52b2o\$58bobo!`

I also suspect that the patching recipe can be reduced if someone can make the following reaction into a working component:

`x = 12, y = 12, rule = B3/S232b2o\$2bo\$3bo\$4bo\$3b2o\$bo2\$5o2b2o\$bob2o2bobobo\$o3bo5b2o\$3b2obo\$obobo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 482
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Stable line crosser challenge

Goldtiger997 wrote:
dvgrn wrote:... Are there known recipes now that can make the cutting or patching recipes a little cheaper?

Assuming I'm understanding what's allowed correctly, here is a cutting recipe that should be better...
For a long time I tried to make a patching recipe that only came from the SW. I was very close on finding cheap methods multiple times, but they just didn't quite work out. So at the moment I just have this quite large proof-of-concept recipe...
I think this is still quite a bit better than the alternative that involves gliders from the NE...

Wow, yes, these are both definite improvements! A SW-only patcher especially, no matter how expensive, is going to be immeasurably better than a single-channel push-elbow-through-gap-and-build-OTTs solution.

With any luck more optimizations will show up, but clearly a stable SW-only line crosser is within easy reach now.

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge

Goldtiger997 wrote:For a long time I tried to make a patching recipe that only came from the SW. I was very close on finding cheap methods multiple times, but they just didn't quite work out. So at the moment I just have this quite large proof-of-concept recipe

A 3G reaction can replace the clock inserters. A pre-blinker pushes a glider across by two lanes although the front of the resulting glider reacts with the blinker before the back has been fully formed:

`x = 24, y = 16, rule = B3/S239b3o2\$13bo\$13bo\$13bo3\$16b2o\$16bobo\$19bo\$20bo\$14b2o5bobo\$bo11b2o7b2o\$b2o6b2o4bo\$obo5b2o\$10bo!`
chris_c

Posts: 870
Joined: June 28th, 2014, 7:15 am

### Re: Stable line crosser challenge

chris_c wrote:A 3G reaction can replace the clock inserters. A pre-blinker pushes a glider across by two lanes although the front of the resulting glider reacts with the blinker before the back has been fully formed:...

Very nice! I had looked through many 3G glider producing reactions but I must have missed that one. Combined with a more minor reduction I found, it reduces the cost of the patching recipe to 17 gliders:

`x = 83, y = 83, rule = B3/S233bobo\$4b2o\$4bo6\$22b2o\$22bo\$23bo\$24bo\$25bo\$26bo\$21bo5bo\$22bo5bo\$20b3o6bo\$30bo\$31bo\$19bo12bo\$20bo12bo\$18b3o13bo\$35bo\$36bo\$37bo\$38bo\$39bo\$40bo\$41bo\$42bo\$41b2o10\$37b2o13b2o\$36bobo13bobo\$38bo2b2o12bo\$40b2o14bo\$42bo14bo\$58bo\$49b2o8bo\$48b2o10bo\$50bo10bo\$62bo\$63bo\$64bo\$65bo\$66bo\$67bo\$68bo\$69bo\$62b3o5bo\$24b2o36bo8bo\$23bobo31b3o3bo8bobo\$13bo5b2o4bo31bo15b2o\$13b2o3bobo37bo\$12bobo5bo2\$bo\$b2o5bo\$obo5b2o\$7bobo\$20b2o\$21b2o\$20bo3\$15b2o\$16b2o\$15bo2\$81b2o\$80b2o\$82bo\$16b2o\$17b2o\$16bo!`
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 482
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Stable line crosser challenge

Goldtiger997 wrote:Very nice! I had looked through many 3G glider producing reactions but I must have missed that one. Combined with a more minor reduction I found, it reduces the cost of the patching recipe to 17 gliders:

Nice. I also found a 4G blinker -> pond solution that relied on the spark "3o2\$o!". With a cute coincidence it combines with your pattern to make an alternative 17G solution that has more symmetry:

`x = 59, y = 59, rule = B3/S236b2o\$6bo\$7bo\$8bo\$9bo\$10bo\$2bo8bo\$3b2o7bo\$2b2o9bo\$14bo\$15bo\$16bo\$17bo\$18bo\$19bo\$20bo\$21bo\$22bo\$23bo\$24bo\$18bo6bo\$19bo6bo\$17b3o5b2o\$bo\$2bo27bo\$3o27bo\$13b2o15bo\$14b2o\$13bo18b3o2\$21b2o\$20bobo\$22bo13b2o\$36bobo\$39bo\$40bo\$26b3o12bo\$12b2o14bo13bo\$13b2o12bo15bo\$12bo23b2o6bo\$36bobo6bo\$36bo9bo\$47bo\$6b2o23bo16bo\$7b2o11bo10b2o16bo\$6bo13b2o8bobo17bo\$19bobo29bo\$52bo\$53bo\$54bo\$14bo40bo\$14b2o40bobo\$13bobo41b2o2\$51bo\$50b2o\$33b2o15bobo\$33bobo\$33bo!`
chris_c

Posts: 870
Joined: June 28th, 2014, 7:15 am

### Re: Stable line crosser challenge

chris_c wrote:I also found a 4G blinker -> pond solution that relied on the spark "3o2\$o!". With a cute coincidence it combines with your pattern to make an alternative 17G solution that has more symmetry...

Impressive. This is starting to look like a fairly painless construction (as these things go). Looks like most insertions can be done either with BNE14 inserters (for the gliders really close to the infinite diagonal line) or Fx119 inserters (for where a glider insertion has to cross several lanes that have already been used, or where gliders end up very close to each other.)

I thought for a while that two of the gliders coming from the SE would need an RNE-19 with an extra glider for suppression, but it turns out that the Fx119 can reach across and place the second glider with no trouble:

`x = 40, y = 75, rule = LifeHistory6.2A\$6.A\$B6.A\$2B6.A\$3B6.A\$4B6.A\$5B6.A\$6B6.A\$7B6.A\$8B6.A\$9B6.A\$10B6.A\$.10B6.A\$2.10B6.A\$3.10B6.A\$4.10B6.A\$5.10B6.A\$6.10B6.A\$7.10B6.A\$8.10B6.A\$9.10B6.A\$10.10B6.A\$11.2B2D6B6.A\$12.2D8B6.A\$13.BD8B6.A\$14.10B6.A\$15.6B2D2B6.A\$16.4B2D4B6.A\$17.3B.BD4B6.A\$22.6B6.A.A\$23.6B6.2A\$24.6B\$25.6B\$23.9B\$21.12B\$20.14B\$21.14B\$21.14B\$20.16B\$19.17B\$19.18B\$18.19B\$18.20B\$19.20B\$17.21B\$17.21B\$17.19B\$18.17B2.3C\$17.18B2.C\$15.20B3.C\$13.21B\$13.2BC18B\$12.3BCBC14B\$13.2B3C13B\$12.5BC13B\$11.20B\$10.4B4.13B\$9.4B4.4B4.6B\$8.4B4.4B5.7B\$7.4B4.4B6.6B\$6.4B4.4B6.6B\$5.4B4.4B7.6B\$4.4B4.4B7.8B\$3.4B4.4B9.6B\$24.7B\$22.10B\$20.B.2B2A6B\$19.2A3B2A8B\$19.2A14B\$20.15B\$18.5B2.B2.2B.3B\$18.2A4.3B5.2C\$19.A3.B2AB5.C\$16.3A5.2A7.3C\$16.A18.C!`

Here's a variant of the recipe that will need 24 synchronized signals to do the entire crossing trick. Five of the signals are double signals, which may or may not be worth the trouble. The doubled signals do separate the recipe into more asynchronous groups, though: it's

(group of 2, white = loaf)
+ (group of 7, green = cut and send glider through)
+ (group of 3, white = half-TL)
+ (group of 6, yellow = blinkers to ponds)
+ (group of 6 including four double signals, green = ponds to partial patch, then final patch)

Each group just has to arrive late enough to not get in the way of the previous group, except for the Yellow Six which also have to have the right parity -- and the following Green Six, which have to suppress a couple of extraneous kickback gliders so they can only follow the Yellow Six with three possible timings mod 8.

Anyway, here's the full blueprint I came up with, before edge-shooters:

`x = 526, y = 481, rule = LifeHistory52.2A\$52.A\$53.A\$54.A\$55.A\$56.A\$57.A\$58.A\$59.A\$60.A\$53.A7.A\$52.2BA7.A\$52.3AB7.A\$53.4B7.A\$54.4B7.A\$55.4B7.A\$56.4B7.A\$57.4B7.A\$58.4B7.A\$59.4B7.A\$60.4B7.A\$61.4B7.A\$62.4B7.A\$63.4B7.A\$64.4B7.A\$65.4B7.A\$66.4B7.A\$67.4B7.A\$68.4B7.A\$69.4B7.A\$70.4B7.A\$71.4B7.A\$72.4B7.A\$73.4B7.A\$74.4B7.A\$75.4B7.A\$76.4B7.A\$77.4B7.A\$78.4B7.A\$79.4B7.A\$80.4B7.A\$81.4B7.A\$82.4B7.A\$83.4B7.A\$84.4B7.A\$85.4B7.A\$86.4B7.A\$87.4B7.A\$88.4B7.A\$89.4B7.A\$90.4B7.A\$91.4B7.A\$92.4B7.A\$93.4B7.A\$94.4B7.A\$95.4B7.A\$96.4B7.A\$97.4B7.A\$98.4B7.A\$99.4B7.A\$100.4B7.A\$101.4B7.A\$102.4B7.A\$103.4B7.A\$104.4B7.A\$105.4B7.A\$106.4B7.A\$107.4BE6.A\$108.4BE6.A\$109.B3EB6.A\$110.5B6.A\$111.5B6.A\$112.5B6.A\$113.5B6.A\$114.5B6.A\$115.5B6.A\$116.5B6.A\$117.5B6.A\$118.5B6.A\$119.5B6.A\$120.5B6.A\$121.5B6.A\$122.5B6.A\$123.5B6.A\$124.5B6.A\$125.5B6.A\$126.5B6.A\$127.5B6.A\$128.5B6.A\$129.5B6.A\$130.5B6.A\$131.5B6.A\$132.5B6.A\$133.5B6.A\$134.5B6.A\$135.5B6.A\$136.5B6.A\$137.5B6.A\$138.5B6.A\$139.5B6.A\$140.5B6.A\$141.5B6.A\$142.5B6.A\$143.5B6.A\$144.5B6.A\$145.5B6.A\$146.5B6.A\$147.5B6.A\$148.5B6.A\$149.5B6.A\$150.5B6.A\$151.5B6.A\$152.5B6.A\$153.5B6.A\$154.5B6.A\$155.5B6.A\$156.5B6.A\$157.5B6.A\$158.5B6.A\$159.5B6.A\$160.5B6.A\$161.5B6.A\$162.5B6.A\$163.5B6.A\$164.5B6.A\$165.5B6.A\$166.5B6.A\$167.5B6.A\$168.5B6.A\$169.5B6.A\$170.5B6.A216.4B\$171.5B6.A214.4B\$172.5B6.A212.4B\$173.5B6.A210.4B\$174.5B6.A208.4B\$175.5B6.A206.4B\$176.5B6.A204.4B\$177.5B6.A202.4B\$178.5B6.A200.4B\$179.5B6.A198.4B\$180.5B6.A196.4B\$181.5B6.A194.4B\$182.5B6.A192.4B\$183.5B6.A190.4B\$184.5B6.A188.4B\$185.5B6.A186.4B\$186.5B6.A184.4B\$187.5B6.A182.4B\$188.5B6.A180.4B\$189.5B6.A178.4B\$190.5B6.A176.4B\$191.5B6.A174.4B\$192.5B6.A172.4B\$193.5B6.A170.4B\$194.5B6.A168.4B\$195.5B6.A166.4B\$196.5B6.A164.4B\$197.5B6.A162.4B\$198.5B6.A160.4B\$199.5B6.A158.4B\$200.5B6.A156.4B\$201.5B6.A154.4B\$202.5B6.A152.4B\$203.5B2.A3.A150.4B\$204.7BA3.A148.4B\$204.A4B3AB3.A146.4B\$204.B2A7B3.A144.4B\$204.2A9B3.A142.4B\$205.11B3.A140.4B\$206.11B3.A138.4B\$207.11B3.A136.4B\$208.11B3.A134.4B\$209.11B3.A132.4B\$210.11B3.A130.4B\$211.11B3.A128.4B\$212.11B3.A126.4B\$213.11B3.A124.4B\$214.11B3.A122.4B\$215.11B3.A120.4B\$216.11B3.A118.4B\$217.11B3.A116.4B\$218.11B3.A114.4B\$219.11B3.A112.4B\$220.11B3.A110.4B\$221.11B3.A108.4B\$222.11B3.A106.4B\$223.11B3.A104.4B\$224.7BC3B3.A102.4B\$225.4BCBC4B3.A100.4B\$226.4B2C5B3.A98.4B\$227.11B3.A96.4B\$228.11B3.A94.4B\$229.11B3.A92.4B\$230.11B3.A90.4B\$231.11B3.A88.4B\$232.11B3.A86.4B\$233.11B3.A84.4B\$234.11B3.A82.4B\$235.11B3.A80.4B\$236.11B3.A78.4B\$237.11B3.A76.4B\$238.11B3.A74.4B\$239.11B3.A72.4B\$240.11B3.A70.4B\$241.11B3.A68.4B\$242.11B3.A66.4B\$243.11B3.A64.4B\$244.11B3.A62.4B\$245.11B3.A60.4B\$246.11B3.A58.4B\$247.11B3.A56.4B\$248.11B3.A54.4B\$249.11B3.A52.4B\$250.11B3.A50.4B\$251.11B3.A48.4B\$252.11B3.A46.4B\$253.11B3.A44.4B\$254.11B3.A42.4B\$255.11B3.A40.4B\$256.11B3.A38.4B\$257.11B3.A36.4B\$258.11B3.A34.4B\$259.11B3.A32.4B\$260.11B3.A30.4B\$261.11B3.A28.4B\$262.11B3.A26.4B\$263.11B3.A24.4B\$264.11B3.A22.4B\$265.11B3.A20.4B\$266.11B3.A18.4B\$267.11B3.A16.4B\$268.11B3.A14.4B\$269.11B3.A12.4B\$270.11B3.A10.4B\$271.11B.2BA8.4B\$272.13B.A6.4B\$273.14BAB3.4B\$272.16BAB.4B\$271.18BA4B\$270.20BA2B\$269.6B2.14BAB\$268.7B.16BA\$267.7B.18BA\$266.6B2.19B.A\$265.6B2.22BA\$264.6B2.23B.A\$263.6B2.23B3.A\$262.6B2.10B.14B3.A\$261.6B2.10B.16B3.A\$260.6B2.10B.18B3.A\$259.6B2.10B.20B3.A\$258.6B2.10B.22B3.A\$257.6B2.10B.24B3.A\$256.6B2.10B.12B.13B3.A\$255.6B2.10B.12B.15B3.A\$254.6B2.10B.12B.17B3.A\$253.6B2.10B.12B2.18B3.A\$252.6B2.10B.12B2.6B.13B3.A\$251.6B2.10B.12B2.6B3.13B3.A\$250.6B2.10B.12B2.6B5.13B3.A\$249.6B2.10B.12B2.6B7.13B3.A\$248.6B2.10B.12B2.6B9.13B3.A\$247.6B2.10B.12B2.6B11.13B3.A\$246.6B2.10B.12B2.6B13.13B3.A\$245.6B2.10B.12B2.6B15.13B3.A\$244.6B2.10B.12B2.6B17.13B3.A\$243.6B2.10B.12B2.6B19.13B3.A\$242.6B2.10B.12B2.6B21.13B3.A\$241.6B2.10B.12B2.6B23.13B3.A\$240.6B2.10B.12B2.6B25.13B3.A\$239.6B2.10B.12B2.6B27.13B3.A\$238.6B2.10B.12B2.6B29.13B3.A\$237.6B2.10B.12B2.6B31.13B3.A\$236.6B2.10B.12B2.6B33.13B3.A\$235.6B2.10B.12B2.6B35.13B3.A\$234.6B2.10B.12B2.6B37.13B3.A\$233.6B2.10B.12B2.6B39.13B3.A\$232.6B2.10B.12B2.6B41.13B3.A\$231.6B2.10B.12B2.6B43.13B3.A\$230.6B2.10B.12B2.6B45.13B3.A\$229.6B2.10B.12B2.6B47.13B3.A\$228.6B2.10B.12B2.6B49.13B3.A\$227.6B2.10B.12B2.6B51.13B3.A\$226.6B2.10B.12B2.6B53.13B3.A\$225.6B2.10B.12B2.6B55.13B3.A\$224.6B2.10B.12B2.6B57.13B3.A\$223.6B2.10B.12B2.6B59.13B3.A\$222.6B2.10B.12B2.6B61.13B3.A\$221.6B2.10B.12B2.6B63.13B3.A\$220.6B2.10B.12B2.6B65.13B3.A\$219.6B2.10B.12B2.6B67.13B3.A\$218.6B2.10B.12B2.6B69.13B3.A\$217.6B2.10B.12B2.6B71.13B3.A\$216.6B2.10B.12B2.6B73.13B3.A\$215.6B2.10B.12B2.6B75.13B3.A\$214.6B2.10B.12B2.6B77.13B3.A\$213.6B2.10B.12B2.6B79.9B3CB3.A\$212.6B2.10B.12B2.6B81.8BC4B3.A\$211.6B2.10B.12B2.6B83.8BC4B3.A\$210.6B2.10B.12B2.6B85.13B3.A\$209.6B2.10B.12B2.6B87.13B3.A\$208.6B2.10B.12B2.6B89.13B3.A\$207.6B2.10B.12B2.6B91.13B3.A\$206.6B2.10B.12B2.6B93.13B3.A\$205.6B2.10B.12B2.6B95.13B3.A\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.5B3.2BDB396.4B7.A\$58.5B3.2BD2B11.2BD2B3.5B397.4B7.A\$57.2BD2B3.5B11.5B3.2BD2B399.4B7.A\$56.5B3.2BD2B11.2BD2B3.5B401.4B7.A\$55.2BD2B3.5B11.5B3.2BD2B403.4B7.A\$54.5B3.2BD2B11.2BD2B3.5B405.4B7.A\$53.2BD2B3.5B11.5B3.2BD2B407.4B7.A\$52.5B3.2BD2B11.2BD2B3.5B409.4B7.A\$51.2BD2B3.5B11.5B3.2BD2B411.4B7.A\$51.4B3.2BD2B11.2BD2B3.5B413.4B7.A\$50.4B4.4B11.5B3.2BD2B415.4B7.A\$49.3AB4.4B11.2BD2B3.5B417.4B7.A\$48.3BA4.3AB11.5B3.2BD2B419.4B7.A\$48.2BA4.3BA11.2BD2B3.5B421.4B7.A\$48.2B5.2BA11.5B3.2BD2B423.4B7.A\$48.B6.2B11.2BD2B3.5B425.4B7.A\$55.B11.5B3.2BD2B427.4B7.A\$66.2BD2B3.5B429.4B7.A\$65.5B3.2BD2B431.4B7.A\$64.2A3B3.5B433.4B7.A\$63.ABAB4.2BD2B435.4B7.A\$62.3BA4.5B437.4B7.A.A\$61.4B4.2BD2B439.4B7.2A\$68.5B441.2B2A\$67.2BD2B443.BABA\$66.5B445.AB\$65.2A3B\$64.ABAB\$63.3BA\$62.4B!`

I guess the next question is whether it works to build a combined Yellow Three + Green Three circuit, and save a little more effort by using two mirror-image copies.

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge

dvgrn wrote:I guess the next question is whether it works to build a combined Yellow Three + Green Three circuit, and save a little more effort by using two mirror-image copies.

I didn't end up doing that. It seemed easier to just build all the gliders from the SW with a single bank of edge shooters, so they can easily be connected up to a Fx77 chain / doubled-signal toolkit / whatever.

Here's a full set of edge shooters in working order, with the correct H-to-G0s attached to the five inputs that need doubled signals:

`x = 2095, y = 1583, rule = 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[[ STEP 50 ]]`

The five stages can be moved quite a bit closer together in time, which would improve the repeat time of the line-crossing reaction. That seems like a thoroughly useless optimization, but I'll probably do it anyway.

I refused to do any welding on the edge shooters, and there are probably alternate edge shooters that would fit closer together. Just have to watch out in the SW edge-shooter bank -- the H-to-G0s aren't compatible with the BNE14 inserters that are used in the SE and NW banks.

----------------------------------------------------------------------------

I went back and dug up the email where this line-crosser idea first came up -- July 15th, 2005:

dvgrn wrote:
dbell wrote: Question 1: Can you detect whether or not the line is present without destroying the line?
Question 2: Can you send a signal from one side of the line to the other side without destroying the line?

...
If the line might or might not exist at the outset, it might make
sense to attempt to cut it with a pair of dying sparks instead of a
pair of gliders; among other things, a second pair of domino sparks
would probably work:

`#C two detectable beehives produced by the collapse of a diagonal#C  line, initiated by a (rather unlikely) pair of domino sparksx = 73, y = 73, rule = B3/S23oo\$obo\$3bo\$4bo\$5bo\$6bo\$7bo\$8bo\$9bo\$10bo\$11bo\$12bo\$13bo\$14bo\$15bo\$16bo\$17bo\$18bo\$19bo\$20bo\$21bo\$22bo\$23bo\$24bo\$25bo\$26bo\$27bo\$28bo\$29bo\$30bo\$31bo\$32bo\$33bo\$34bo\$31boobbo\$36bo\$37bo\$38bo\$39bo\$40bo\$41bo\$42bo\$43bo\$44bo\$42bobbo\$42bo3bo\$47bo\$48bo\$49bo\$50bo\$51bo\$52bo\$53bo\$54bo\$55bo\$56bo\$57bo\$58bo\$59bo\$60bo\$61bo\$62bo\$63bo\$64bo\$65bo\$66bo\$67bo\$68bo\$69bo\$70bo\$71bo\$72bo\$71boo!`

My favorite line-cutting debris so far is the following useless
curiosity, which produces three clean output gliders and nothing else:

`x = 73, y = 73, rule = B3/S23oo\$obo\$3bo\$4bo\$5bo\$6bo\$7bo\$8bo\$9bo\$10bo\$11bo\$12bo\$13bo\$14bo\$15bo\$16bo\$17bo\$18bo\$19bo\$20bo\$21bo\$22bo\$23bo\$24bo\$25bo\$26bo\$27bo\$28bo\$29bo\$22boo6bo\$21boo8bo\$23bo8bo\$33bo\$17b4o13bo\$16bo3bo14bo\$20bo15bo\$16bobbo17bo\$38bo\$39bo\$14boo24bo\$13bobo25bo\$15bo16boo8bo\$33boo8bo\$32bo11bo\$45bo\$46bo\$47bo\$48bo\$49bo\$50bo\$51bo\$52bo\$53bo\$39b3o12bo\$41bo13bo\$40bo8bo6bo\$50bo6bo\$48b3o7bo\$59bo\$60bo\$61bo\$62bo\$46bo16bo\$45b3o16bo\$44boobo17bo\$44b3o19bo\$38boo5boo20bo\$39boo27bo\$38bo30bo\$70bo\$71bo\$72bo\$71boo!`

In most designs, of course, circuitry on the far side of the line
could simply detect the presence or absence of a cutting glider -- if
the glider made it to the other side, the line wasn't there. But it
occurred to me that it was theoretically possible to build a diagonal
line testing device that lived just on one side of the line, but could
send a single controlled glider or other signal into empty space on
the other side... and still repair the line.

The design is thoroughly crazy, though...

It was "thoroughly crazy" only because with the old patching recipe it would have been necessary to reach through the gap with a universal constructor to build a bunch of one-time turners to support the patching reaction. In 2005 even the Gemini hadn't appeared on the scene yet, much less the Demonoids or single-channel construction technology.

By sheer luck, the current line cutting and patching recipe could function as a Line Existence Tester. With the addition of a couple of eaters, the line-crosser recipe only sends a glider across the line if the line is there. If the line isn't there, the glider doesn't cross it!

`x = 375, y = 375, rule = B3/S235bo\$3bobo\$4b2o55\$63bo\$61bobo\$62b2o97\$165bo\$163bobo\$158bobo3b2o\$159b2o\$159bo19\$185bo\$169b2o15bo\$168bobo13b3o\$168bo\$167b2o4\$194b2o\$194bobo\$194bo12\$162bo\$162b2o\$161bobo\$193b2o\$194bo\$168b3o20b3o\$170bo20bo\$169bo47bo\$216b2o\$216bobo\$171b3o\$173bo\$172bo\$214b3o\$214bo\$215bo19\$139bo\$139b2o\$138bobo49\$83b3o\$85bo201bo\$84bo201b2o\$286bobo2\$295bo\$294b2o\$294bobo4\$58bo\$58b2o\$57bobo3\$65b3o\$67bo\$66bo3\$71b2o\$70bobo\$72bo2\$315b3o\$315bo\$316bo2\$75b2o\$76b2o\$75bo9\$31bo\$31b2o5bo\$30bobo5b2o\$37bobo6\$45b2o\$46b2o\$45bo5\$46b2o\$47b2o\$46bo12\$b2o\$obo5b2o\$2bo4bobo\$9bo6\$15b3o\$17bo\$16bo2\$372b3o\$372bo\$373bo\$16b3o\$18bo\$17bo!`

But if a Line Exists signal is wanted on the same side of the (possibly nonexistent) line, some more work would be needed. Could check for the existence of one of the honeyfarms that the eaters suppress. That would keep the Line Existence Tester mechanism all on one side of the line... but would still allow a glider to escape on the other side of the line if the line exists.

I think I'll leave a full redesign for some more entreprising Lifengineer to tackle if they're interested.

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge

dvgrn wrote:The five stages can be moved quite a bit closer together in time, which would improve the repeat time of the line-crossing reaction. That seems like a thoroughly useless optimization, but I'll probably do it anyway.

Yup, I did. This is about as close as this particular 24-signal recipe can get, with these particular banks of edge shooters:

`x = 2078, y = 1786, rule = 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2.B.AB2.20B144.A5.8B3.B7.A\$502.2A389.2A.2A2B5.17B143.A.A2.11B.2B5.3A\$894.A.A2.3B4.15B145.A2.17B2.A\$894.A.A3.2A7.4B3.3B143.2A3.19B2.2A\$895.A4.A11.B150.A2.24B\$901.3A8.2A149.A.2A.20B\$903.A9.A148.2A.A.22B\$912.A147.A2.B.AB2.20B\$912.2A146.2A.2A2B5.17B\$1061.A.A2.3B4.15B\$1061.A.A3.2A7.4B3.3B\$1062.A4.A11.B\$1068.3A8.2A\$1070.A9.A\$1079.A\$1079.2A!`

With a few more input gliders (29? maybe a few less than that) the line-crosser reaction wouldn't have to wait around for 82 ticks between the first and second gliders on the five doubled glider lanes, so that would give a theoretical minimum repeat time around 464-124 = 340 ticks.

124 = savings of 62 ticks in two places, due to not using doubled signals -- but it will make the edge-shooter banks a little harder to build because the gliders would be closer together. I don't think I'm interested in another redesign at this point, but someone else is welcome to make the improvement.

In practice the circuit will probably end up having a repeat time closer to 500 than 464, which is just the theoretical minimum for the gliders in the current recipe following each other. Something will probably go wrong with the edge shooters at p464, but I'm going to just wait until the whole thing is built to find out. A 500-tick repeat time seems perfectly acceptable... considering that the original theoretical design for an all-on-one-side line crosser would have had a repeat time in the tens of thousands of ticks, or possibly somewhere up in the millions.

-- I should probably just run chris_c's script to complete the above construction, but I'll probably end up doing it the hard way to make it a little smaller. Somebody really ought to write a new script for the doubled-signal toolkit.

Does anyone have any interest in a step-by-step summary of the process of turning the above blueprint into a finished pattern, using a custom version of the doubled-signal toolkit? Or do we have enough walkthroughs along those lines already? Here's the first stage completed -- five signals in the northwest reduced to one doubled signal, in a suboptimal but perfectly adequate way:

`x = 2177, y = 1618, rule = 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Nineteen signals left to synchronize (with the twentieth).

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge (COMPLETED)

dvgrn wrote:In practice the circuit will probably end up having a repeat time closer to 500 than 464... but ... a 500-tick repeat time seems perfectly acceptable.

Oh, dear. It comes out to 501 ticks -- 500 doesn't work. Now someone else may have to rebuild the entire thing to reduce the repeat time to an acceptable level.

Code: Select all
`x = 1993, y = 2285, rule = 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[[ THEME 4 THUMBNAIL THUMBSIZE 2 GPS 1 STEP 1 HEIGHT 840 X 475 Y -530 Z -1.7 ]]#C [[ LOOP 250000 AUTOSTART PAUSE 2 ]]#C [[ T 2 GPS 1 X 160 Y -60 Z 3 T 1800 GPS 60 STEP 4 X 250 Y -70 Z 1.5 T 2400 X 450 Y -30 Z 3 ]]#C [[ T 4000 X 500 Y -800 Z -1.7 ]]#C [[ T 5000 X 565 Y -904 Z 1 ]]#C [[ T 5750 Z 1.5 ]]#C [[ T 6038 Z 2.8 ]]#C [[ PAUSE 2 STEP 20 ]]#C [[ T 7000 Z 4 STEP 13 ]]#C [[ T 7001 STEP 50 ]]#C [[ T 8000 X 450 Y -530 Z -1.7 ]]`

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge (COMPLETED)

Congratulations! That is a very nice pattern (and LifeViewer animation too)! I like the usage of the trick were one of the Fx77 chains has outputs on both sides, and feeds into two different chains of edgeshooters. I had thought of such a trick before, but I hadn't been sure if it would work.

It's a shame about the repeat-time, but that's the "fault" of the synthesis, not the circuitry, correct?

dvgrn wrote:-- I should probably just run chris_c's script to complete the above construction, but I'll probably end up doing it the hard way to make it a little smaller. Somebody really ought to write a new script for the doubled-signal toolkit.

I would be quite interested in attempting to make such a script. I'd probably need a bit of help though. Hopefully a fair amount of code code be borrowed from chris_c's already existing script. However, I'm pretty busy with non-CA things at the moment, so this will have to wait a bit.
Things to work on:
• Work on the snowflakes orthogonoid

Goldtiger997

Posts: 482
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Stable line crosser challenge (COMPLETED)

Goldtiger997 wrote:It's a shame about the repeat-time, but that's the "fault" of the synthesis, not the circuitry, correct?

Well, no. Technically it's the fault of my circuitry... with different banks of edge shooters, and especially with just plain more edge shooters, it's quite possible to get the gliders in that same exact synthesis quite a bit closer together. Or using one of the original two versions of the synthesis might be a little better, I haven't checked.

To make the pattern a little smaller and the construction job a little easier, I customized chris_c's synthesis so that it was possible to fire ten of the gliders with the same five edge shooters. For those outputs the Fx77 spine doesn't have any inline period doublers. Instead there might be something from simeks' adjustment toolkit, because the doubled-signal toolkit doesn't have any tools to change the color, and only enough to hit the right timing about half the time, if you don't have a period doubler. I used the 's4' zero-degree component from simeks' collection several times.

Goldtiger997 wrote:
dvgrn wrote:-- I should probably just run chris_c's script to complete the above construction, but I'll probably end up doing it the hard way to make it a little smaller. Somebody really ought to write a new script for the doubled-signal toolkit.

I would be quite interested in attempting to make such a script...

The process of building this pattern has given me some ideas about how the script would work. I did a lot of unnecessary custom wiring this time around, but a script could do almost as well with just a standard set of adjusters plus Snark trombone slides.

I think the key trick will be to start with a script that understands edge shooters, and limit the script to only being able to build one-dimensional banks of edge shooters. That way, if it turns out that a little more room is needed between edge shooters to allow a given trombone slide to fit, the script can easily take care of that.

With the edge shooters always stacked as close together as possible (without welding, anyway -- not sure I want to write a script that handles welding...) the resulting circuitry might end up within 10% or 20% or so of optimal, as often as not.

It seems as if script-generated circuitry might not prompt people to make moves in the Pointless Optimization game as often, but that might be something of a blessing really --!

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge (COMPLETED)

The stable line crosser is really nice, both for the new line cutting and repairing reactions, and for the circuitry to shoot the convoys.

My original line crosser is soooo obsolete now!

BCNU,
-dbell
dbell

Posts: 49
Joined: June 27th, 2013, 12:47 am

### Re: Stable line crosser challenge (COMPLETED)

There's more than enough room to reach through that gap with a single-channel construction arm. So a pattern on one side of an infinitely long diagonal line can construct, on the other side of the line, any glider-constructible object, at any distance from the line -- as long as there's a way to push an elbow through the gap to get the construction arm started!

Obviously if the current gap isn't wide enough to get an elbow through safely, a more expensive recipe could be invented that cuts and then patches a wider gap.

But it seems pretty clear that the current gap is wide enough. Here's a Seeds-of-Destruction proof of concept that there are recipes out there that can place some junk behind the line, so that a single-channel construction arm could get started building whatever it wanted on the far side:

`x = 112, y = 114, rule = B3/S235b2o\$5bobo\$8bo\$9bo\$10bo\$11bo\$12bo\$13bo\$14bo\$15bo\$16bo\$17bo\$18bo\$19bo\$20bo\$21bo\$22bo\$23bo\$24bo\$25bo\$26bo\$27bo\$28bo\$29bo\$30bo\$31bo\$32bo\$33bo\$34bo\$35bo\$36bo\$37bo\$38bo\$39bo\$40bo\$41bo\$42bo\$43bo\$44bo\$45bo\$46bo\$47bo\$48bo\$49bo\$50bo\$51bo\$52bo\$53bo\$52b2o4\$53b3o\$55bo\$54bo4\$63b2o\$63bobo\$66bo\$67bo\$57b3o8bo\$57bo2bo8bo\$57bo12bo\$46b3o8bo13bo\$48bo9bobo11bo\$47bo25bo\$74bo\$42bo32bo\$42b2o32bo\$41bobo33bo\$78bo\$79bo\$80bo\$81bo\$82bo\$83bo\$84bo\$85bo\$86bo\$30b2o55bo\$31b2o55bo\$30bo58bo\$90bo\$23bo67bo\$23b2o67bo\$22bobo68bo\$94bo\$95bo\$96bo\$97bo\$98bo\$99bo\$100bo\$101bo\$102bo\$103bo\$104bo\$105bo\$106bo\$107bo\$108bo\$109bo\$110bo\$111bo\$110b2o5\$2o\$b2o\$o!`

It would be nice to find a minimal-cost recipe for building a usable clean elbow object, working through that gap. I seem to remember having done some investigations along these lines, but don't think I got as far as writing a search program to find the cheapest options.

And just for the record, here's two copies of the line crosser turned into a p19578 oscillator by calcyman:

`x = 1414, y = 2018, rule = B3/S23868b2o\$867bobo\$861b2o4bo\$859bo2bo2b2ob4o\$859b2obobobobo2bo\$862bobobobo\$862bobob2o\$863bo2\$876b2o\$867b2o7bo\$867b2o5bobo\$874b2o7\$841bo22b2o\$841b3o21bo\$844bo17b3o\$843b2o17bo3\$835b2o\$835bo\$832b2obo\$832bo2b3o4b2o\$833b2o3bo3b2o\$835b4o\$835bo15b2o3b2o\$836b3o12bobobobo\$839bo13bobo\$834b5o14bo2bo\$834bo19bobo\$836bo18bo\$835b2o4\$870b2o\$870b2o4\$850b2o\$849bobo\$849bo\$848b2o7b2o\$857b2o\$821b2o\$820bobo42b2obo\$814b2o4bo44b2ob3o\$812bo2bo2b2ob4o46bo\$812b2obobobobo2bo4b2o34b2ob3o\$815bobobobo8bo33bo2b2o\$815bobob2o7bo34bobo35bo\$816bo11b5o29bobob2obo29b3o\$832bo12b2o16bo2bob2o28bo\$826b4o16bo19bo24bo6b2o\$820b2o4bo2bo16bobo16b2o23bobo\$820b2o25b2o13bobo2b2o22bo\$833b2o27b2o2bo2bo\$828b2obo2bo32b2o\$824bo3b2ob2o70b2o\$823bobo69b2o6b2o\$824bo70b2o2\$886b2o\$817b2o67b2o\$818bo\$815b3o83b2o\$815bo85bobo\$848b2o15b2o36bo\$848b2o15bobo35b2o\$840b2o25bo\$841bo25b2o\$841bobo\$842b2o4\$806bo\$806b3o51b2o\$809bo50bo\$808b2o6bo41bobo\$815bobo40b2o311bo11b2o\$816bo353bobo10b2o\$1162bo3b2o2bobo\$1148bo12bobo2bo2b2ob2o\$803b2o343b3o10bobo3bobo\$803b2o6b2o307bo30bo10bob4o2bob2o\$811b2o303b2obobo28b2o12bo3bobob2o\$840b2o274b2obobo41bo3bobo\$820b2o17bo2bo276bob2o2b2o35bo3bobo\$820b2o17bo2bo276bo4bobo35b2o3bo\$840b2o278b3obo16b2o\$805b2o315bob2o15bo\$804bobo50b2o280bobo\$804bo52b2o280b2o34b2o\$803b2o370b2o\$1190b2o\$841b2o346bo2bo\$841b2o347b2obo\$1193bo\$1193b2o\$1178b2o\$1179bo\$845b2o303b2o24b3o\$846bo303b2o11b2o11bo\$846bobo16b2o296bo\$847b2o16bo298b3o\$863bobo300bo\$863b2o257b2o\$1122b2o\$921b2o\$921bobo\$923bo4b2o\$865b2o52b4ob2o2bo2bo203b2o\$864bo2bo51bo2bobobobob2o183bo19bobo\$864bo2bo54bobobobo186b3o19bo\$865b2o56b2obobo189bo18b2o\$927bo189b2o\$848b2o\$848b2o63b2o\$914bo7b2o185b2o47b2o\$871b2o11bo29bobo5b2o185bo48bobo\$864b2o5b2o10bobo29b2o189b2obo50bo\$864b2o17bobo2b2o3bo212bo2b3o4b2o42b2o\$882b2ob2o2bo2bobo212b2o3bo3b2o\$886bobo3bobo214b4o\$882b2obo2b4obo215bo15b2o3b2o\$882b2obobo3bo218b3o12bobobobo\$860b2o24bobo3bo220bo13bobo\$860bo26bobo3bo31b2o181b5o14bo2bo\$840b2o16bobo27bo3b2o31bo24bo157bo19bobo\$841bo16b2o47bo18b3o19b3o159bo18bo\$841bobo61b3o20bo18bo161b2o\$842b2o60bo42b2o\$763bo115b2o23b2o\$761b3o115b2o\$728bo31bo103b2o89b2o187b2o\$726b3o30bobo101bo2bo89bo187b2o\$725bo33bobo78b2o20bob2o90bob2o\$724bobo33bo78bo2bo19bo85b2o4b3o2bo\$724bobo112bo2bo18b2o85b2o3bo3b2o\$725bo114b2o34b2o75b4o167b2o\$876bo35b2o25b2o15bo166bobo\$857b2o18b3o32b2o24bobo12b3o167bo\$744b2o111b2o20bo11b2o45bo13bo169b2o7b2o\$744b2o146bo44b2o14b5o173b2o\$709b2o178b3o8b2o55bo\$709b2o130b2o46bo11bo53bo140bo11b2o29b2obo\$834b2o5b2o55b3o54b2o138bobo10b2o29b2ob3o\$764b2o67bobo62bo67b2o23bo95bo3b2o2bobo47bo\$764bobo60b2o4bo131bobo21b3o81bo12bobo2bo2b2ob2o40b2ob3o\$729b2o35bo58bo2bo2b2ob4o121b2o4bo22bo84b3o10bobo3bobo43bo2b2o\$729bobo25b2o7b2o57b2obobobobo2bo119bo2bo2b2ob4o18b2o55bo30bo10bob4o2bob2o38bobo\$731bo25b2o69bobobobo10b2o110b2obobobobo2bo71b2obobo28b2o12bo3bobob2o37bobob2obo\$722b2o7b2o95bobob2o12bo50b2o61bobobobo74b2obobo41bo3bobo24b2o16bo2bob2o\$722b2o23bob2o78bo16bobo16b2o29bobo61bobob2o30b2o46bob2o2b2o35bo3bobo26bo19bo\$745b3ob2o96b2o16bo24b2o4bo64bo35bo46bo4bobo35b2o3bo27bobo16b2o\$712bob2o28bo97b2o19bobo22bo2bo2b2ob4o96bob2o44b3obo16b2o53b2o13bobo2b2o\$710b3ob2o29b3ob2o82b2o7bo20b2o23b2obobobobo2bo73b2o13b2o4b3o2bo46bob2o15bo69b2o2bo2bo\$709bo37b2o2bo81b2o5bobo48bobobobo67b2o7bo2b2o10b2o3bo3b2o64bobo74b2o\$710b3ob2o34bobo87b2o49bobob2o50bo17b2o5bobo3bo15b4o66b2o34b2o\$712b2o2bo29bob2obobo138bo54b3o22b2o4bob2o15bo102b2o\$715bobo28b2obo2bo16b2o179bo25b2obobo12b3o118b2o\$711bob2obobo30bo19bo95b2o38b2o42b2o24bo3bo13bo120bo2bo\$711b2obo2bo16b2o13b2o16bobo94bo2bo28b2o7bo68bo2b3o14b5o116b2obo\$714bo19bo12b2o2bobo13b2o95bo2bo28b2o5bobo68b3o21bo119bo\$714b2o16bobo11bo2bo2b2o111b2o36b2o36b2o34bo18bo121b2o\$712b2o2bobo13b2o13b2o81b2o44bo64bo34b2o18b2o105b2o\$711bo2bo2b2o112bo16b2o26b3o59b2obo20b2o140bo\$712b2o114b3o17b2o29bo58bo2b3o4b2o13bo111b2o24b3o18b2o15b2o\$780bo47bo49b2o59b2o3bo3b2o10b3o112b2o11b2o11bo20b2o15bobo\$771b2o7b3o124bo33b4o15bo127bo52bo\$745bo25bo11bo80b2o41b3o31bo15b2obo128b3o49b2o\$736b2o7b3o21bobo10b2o80b2o4b2o21b2o15bo31b3o12bobob2o128bo\$736bo11bo20b2o99bo23bo14b2o34bo13bo2bo23b2o59b2o\$734bobo10b2o29b2o5b2o80b2obo20b3o46b5o14b2o18b2o5bobo58b2o\$734b2o42b2o4bobo80bo2b3o4b2o12bo48bo38b2o7bo\$743b2o5b2o4b2o26b2o82b2o3bo3b2o63bo45b2o\$743b2o4bobo3bobo102b2o8b4o67b2o102bo89bo\$721b2o26b2o4bo104bo9bo15b2o87bo69b3o12b2o71b3o\$720bobo31b2o84b2o16bobo10b3o12bobo85bobob2o68bo11bobo69bo\$720bo120bo16b2o14bo13bo30b2o53bobobobo66b2o13bo69b2o\$719b2o120bobo25b5o14b2o22b2o5bobo49b2obobobobo2bo78b2o\$842b2o25bo42b2o7bo49bo2bo2b2ob4o152b2o\$759b2o25b2o83bo49b2o50b2o4bo156bo\$760bo25bo83b2o107bobo155bo\$724b2o25b2o4b3o27b3o118bo71b2o154b2o\$725bo25bo5bo31bo117bobob2o206bo24bo\$722b3o27b3o11b2o72b2o65bobobobo143b2o59bobo21b3o\$722bo31bo7bobo2bo71bo2bo61b2obobobobo2bo133b2o5bobo59bo21bo\$731b2o27b3ob3o72bo2bo61bo2bo2b2ob4o133b2o7bo55b2o24b2o\$727bobo2bo26bo3bo76b2o64b2o4bo146b2o55bo\$725b3ob3o27b2o2bob2o145bobo201bob2o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[[ AUTOSTART STEP 50 ]]`

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge (COMPLETED)

dvgrn wrote:It would be nice to find a minimal-cost recipe for building a usable clean elbow object, working through that gap. I seem to remember having done some investigations along these lines, but don't think I got as far as writing a search program to find the cheapest options.

Nice work on completing the pattern. A quick gencols search revealed a 2fd blinker push that fits in the necessary gap. It's pretty simple but not so single-channel friendly I suppose.

`x = 88, y = 92, rule = LifeHistory63.2A\$63.A.A\$66.A\$67.A\$68.A\$69.A\$70.A\$69.2A10\$69.3A8.2A\$80.A.A\$83.A\$84.A\$85.A\$86.A\$87.A\$62.2A22.2A\$61.A.A\$63.A3\$61.2A\$60.A.A\$62.A3\$52.2A\$51.A.A\$53.A3\$51.2A\$50.A.A\$52.A3\$42.2A\$41.A.A\$43.A3\$41.2A\$40.A.A\$42.A3\$32.2A\$31.A.A\$33.A3\$31.2A\$30.A.A\$32.A3\$22.2A\$21.A.A\$23.A3\$21.2A\$20.A.A\$22.A3\$12.2A\$11.A.A\$13.A3\$11.2A\$10.A.A\$12.A3\$2.2A\$.A.A\$3.A3\$.2A\$A.A\$2.A!`
chris_c

Posts: 870
Joined: June 28th, 2014, 7:15 am

### Re: Stable line crosser challenge (COMPLETED)

chris_c wrote:Nice work on completing the pattern. A quick gencols search revealed a 2fd blinker push that fits in the necessary gap. It's pretty simple but not so single-channel friendly I suppose.

Good find! We're not necessarily restricted to single-channel construction. A glider-pair universal constructor along the lines of the 10hd Demonoid but with just 4hd separation might be the way to go here... considering that this is more of a theoretical design, where the goal might be "build a device that can be programmed to construct any glider-constructible object on the far side of an infinite diagonal line".

If history is any guide (see, e.g., calcyman's universal programmable constructor, and more recently the reverse caber tosser project) not many people will be too interested in actually programming such a device to build anything in particular -- it's just fun to know that it can be done.

Along similar lines, another thing that's technically possible is to construct a stable line crosser that can be adjusted to sit at any chosen distance from the infinite diagonal line, so that the space near the line is empty except when a line crossing is in progress. I'm not too tempted to work on either the constructor-based or the synchronized *WSS+glider variant of this idea, though -- we'd be back to a size that would make David Bell's original line crosser look pretty good.

Another reasonable use of the blinker push would be to build a small burst gun for that salvo, build a blinker on the near side and trigger the burst gun to push it to the far side, and then convert the blinker into a normal single-channel target and build "normally" from there.

dvgrn
Moderator

Posts: 5215
Joined: May 17th, 2009, 11:00 pm

### Re: Stable line crosser challenge (COMPLETED)

dvgrn wrote:If history is any guide (see, e.g., calcyman's universal programmable constructor, and more recently the reverse caber tosser project) not many people will be too interested in actually programming such a device to build anything in particular -- it's just fun to know that it can be done.

Could we create a fleet of gliders that can travel through any diagonal line in its path? That would be a fun use for such a device.

Macbi

Posts: 575
Joined: March 29th, 2009, 4:58 am

### Re: Stable line crosser challenge (COMPLETED)

Congrats!
Almost c/2:
`x = 19, y = 10, rule = LifeHistory7.D3.D\$6.DCD.DCD\$5.DC2AD2ACD\$3.2DAC2.A2.CA2D\$3.AC.C2.D2.C.CA\$.2D.C.AD.A.DA.C.2D\$.2C.A2.A3.A2.A.2C\$.CA.2D7.2D.AC\$DC2.2A7.2A2.CD\$2A15.2A!#C [[ STOP 2 ]]`
Hunting

Posts: 598
Joined: September 11th, 2017, 2:54 am
Location: Universe

### Re: Stable line crosser challenge (COMPLETED)

Congratulations, this is a very impressive stable construction!

gmc_nxtman

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### Re: Stable line crosser challenge (COMPLETED)

Macbi wrote:
dvgrn wrote:If history is any guide (see, e.g., calcyman's universal programmable constructor, and more recently the reverse caber tosser project) not many people will be too interested in actually programming such a device to build anything in particular -- it's just fun to know that it can be done.

Could we create a fleet of gliders that can travel through any diagonal line in its path? That would be a fun use for such a device.

Yikes. I'm not sure there is such a glider fleet -- at least, not unless the diagonal lines are always on the same color cells, and the fleet is aligned correctly to that color, and the glider fleet is allowed to destroy each line as it reaches it. Ah, and while we're listing limitations, the lines can't be spaced two diagonal cells apart.

Somebody would have to apply a lot of fresh cleverness to come up with a fleet that works for either color of infinite line. I seems like a line-opening reaction that works cleanly for one line color (left, below) gives a very messy fuse if it hits a line of the other color:

`x = 111, y = 72, rule = LifeHistory2A37.2A\$A2.2A34.A2.2A\$2.2A.A35.2A.A\$6.A38.A\$7.A38.A\$8.A38.A\$9.A38.A\$10.A38.A\$11.A38.A\$12.A38.A\$13.A38.A\$14.A38.A\$15.A38.A\$16.A38.A\$17.A38.A\$18.A38.A\$19.A38.A\$20.A38.A\$21.A38.A\$22.A38.A\$23.A38.A\$24.A38.A\$25.A38.A\$26.A38.A\$27.A38.A\$28.A38.A\$29.A38.A\$30.A38.A\$31.A5.A7.A24.A6.A7.A\$32.A4.A.A4.A26.A5.A.A4.A\$33.A3.2A5.3A25.A4.2A5.3A\$34.A38.A\$35.A6.A31.A7.A\$36.A4.A33.A5.A\$37.A3.3A32.A4.3A\$38.A38.A\$39.A38.A\$40.A38.A\$41.A38.A\$42.A38.A\$43.A38.A\$44.A38.A\$45.A38.A\$46.A38.A\$47.A38.A\$48.A38.A\$49.A38.A\$50.A38.A\$51.A38.A\$52.A38.A\$53.A38.A\$54.A38.A\$55.A38.A\$56.A38.A\$57.A38.A\$58.A38.A\$59.A38.A\$60.A38.A\$61.A38.A\$62.A38.A\$63.A38.A\$64.A38.A\$65.A38.A\$66.A38.A\$67.A38.A\$68.A38.A\$69.A38.A\$70.A38.A\$69.2A37.2A\$69.A38.A\$71.A38.A\$70.2A37.2A!`

I don't _think_ there's a salvo of gliders that can cut a line and then stop the damage from spreading at light speed. You need a domino spark to do that, and the glider fleet has no way to get advance notice that it will hit something, so the sideways gliders needed to produce two clean domino sparks won't be present.

The Usual Universal Constructor Hand-Waving
For the case where same-color lines are destroyed cleanly, things are fairly simple:

The fleet is led by the three gliders shown above, followed by two copies of a single-channel recipe, followed by another set of the same three gliders on the same paths. The recipe builds a seed constellation for those three gliders, plus a memory loop that can catch and contain the second copy of the recipe, then re-transmit two copies and cleanly self-destruct. The self-destruction triggers the 3G seed, so now we're right back where we started, but what used to be the trailing set of three gliders is now in the lead.

Yes, You Could Save The Precious Infinite Diagonal Lines
If we aren't allowed to destroy the lines, it seems like the best bet would be some high-period object that creeps along very slowly, generating a test salvo at each possible line location. It's not hard to modify the Line Existence Test reaction to get a signal out on the same side of the line. Here's a sample that reduces the problem to building a moderately edgy toad, which is certainly possible but no doubt there's something simpler:

`x = 110, y = 52, rule = LifeHistory.2A57.2A\$.A58.A\$2.A58.A\$3.A58.A\$4.A58.A\$5.A58.A\$6.A58.A\$7.A58.A\$3C5.A50.3C5.A\$.3C5.A50.3C5.A\$10.A58.A\$11.A58.A\$12.A58.A\$13.A58.A\$14.A58.A\$15.A58.A\$16.A58.A\$10.A.A4.A52.A.A3.A\$6.A4.2A5.A47.A4.2A4.A\$7.A3.A7.A47.A3.A6.A\$5.3A12.A44.3A11.A\$21.A58.A\$22.A58.A\$23.A58.A\$19.C4.A54.C3.A\$8.3A7.C.C4.A42.3A7.C.C3.A\$10.A7.C2.C4.A43.A7.C2.C3.A\$9.A9.2C6.A41.A9.2C5.A\$28.A58.A\$15.2A12.A45.2A11.A\$16.2A12.A45.2A11.A\$15.A15.A43.A14.A\$25.3A4.A52.3A3.A\$25.A7.A51.A6.A\$18.2A6.A7.A43.2A6.A6.A\$19.2A14.A43.2A13.A\$18.A17.A41.A16.A\$24.2A11.A46.2A10.A\$23.2A13.A44.2A12.A\$25.A13.A45.A12.A\$40.A58.A\$41.A58.A\$42.A58.A\$43.A58.A\$44.A58.A\$45.A58.A\$46.A58.A\$47.A58.A\$48.A.A56.A.A\$40.2A7.2A49.2A6.2A\$40.A.A57.A.A\$40.A59.A!`

I guess a universal-constructor spaceship that moves one cell orthogonally with every cycle would be best, since that would test both line colors.

But Then What, Exactly?
I'll leave it to someone else to figure out exactly what the universal constructor should do when that toad-reflected signal glider comes back. Push a construction elbow through the gap and build a memory loop on the other side, sure -- but what if there's not enough room to build the full memory loop because there's another line over there?

Pretty soon you end up having to cut really wide gaps in each line, and carry along a RAM structure capable of remembering exactly where the lines were that need patching. It's all theoretically doable, as long as there aren't lines separated by two cells diagonally -- but I think "theoretically" may be the key word here, at least for the current decade.

dvgrn
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### Re: Stable line crosser challenge (COMPLETED)

dvgrn wrote:But Then What, Exactly?

Why not the obvious: a stable or P2 barberpole crosser?
I Like My Heisenburps! (and others)

Extrementhusiast

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Location: USA

### Re: Stable line crosser challenge (COMPLETED)

Extrementhusiast wrote:
dvgrn wrote:But Then What, Exactly?

Why not the obvious: a stable or P2 barberpole crosser?

Why not barge crosser?
Almost c/2:
`x = 19, y = 10, rule = LifeHistory7.D3.D\$6.DCD.DCD\$5.DC2AD2ACD\$3.2DAC2.A2.CA2D\$3.AC.C2.D2.C.CA\$.2D.C.AD.A.DA.C.2D\$.2C.A2.A3.A2.A.2C\$.CA.2D7.2D.AC\$DC2.2A7.2A2.CD\$2A15.2A!#C [[ STOP 2 ]]`
Hunting

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### Re: Stable line crosser challenge (COMPLETED)

Goldtiger997 wrote:I would be quite interested in attempting to make such a script. I'd probably need a bit of help though. Hopefully a fair amount of code code be borrowed from chris_c's already existing script. However, I'm pretty busy with non-CA things at the moment, so this will have to wait a bit.

I'd kind of like to try for a script that builds any two 90-degree glider salvos from one Fx77 spine. For a full four-salvo recipe, it could just be run twice, and you're done as soon as you connect the two resulting circuits.

First Things First: Pick Your Edge Shooters
The first part is an analysis of each salvo to see if it can be built with some combination of edge shooters that are all on the near side of the salvo lanes. This can probably be a separate script, and it can either accept suggestions from the user as to which edge shooters to use for which gliders, or there could be an option to try all the possibilities and just see if one of them works. That's a relatively easy exhaustive enumeration task, at least for reasonable-sized synthesis recipes, so maybe that should be done first.

That will give a list of [glider_location, edge-shooter-to-use] for each of the two salvos. The next stage is to take that list as input, and automatically hook up an appropriate length of Fx77 spine to a row of edge shooters (plus Snark trombone slides).

This doesn't seem too complicated for one salvo at a time, but it will take some thinking to pick the right location for the spine and get the relative timing correct for connecting the outputs on each side to the appropriate edge shooters.

One Stable Rephaser
I'm thinking I'll probably complete the period-doubler toolkit by adding just one stable rephaser to the mix -- have the option to throw it in whenever it's needed, as I ended up doing a few times for the stable line crosser. But then the script will have a lot more patience than I did, so it can try all sixteen possible position and input-timing combinations for the Fx77 spine, and pick the one where the minimum number of stable rephasers are needed (ideally zero).

... Or Just Skip an Output
I think another way to handle all possible connection cases would be to skip an Fx77 output whenever needed. If Fx77 glider output (or pair of possible outputs, rather) turns out to have the forbidden timing, the next connection should be guaranteed to work.

Any other ideas for extending the toolkit in some nice simple way, that handles all possible cases but still allows a script to produce fairly tight glider-to-X circuitry?

dvgrn
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