## Challenge: Moving Rake Gun (AKA Rake Rake)

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

### Challenge: Moving Rake Gun (AKA Rake Rake)

We know that many rakes produce gliders, and that gliders can be used to make more rakes. From this knowledge, I challenge everyone to try to make rakes whose gliders interact just right to make more rakes moving in the opposite direction.
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 774
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Gamedziner wrote:We know that many rakes produce gliders, and that gliders can be used to make more rakes. From this knowledge, I challenge everyone to try to make rakes whose gliders interact just right to make more rakes moving in the opposite direction.

This would be a type MMM breeder -- moving objects creating moving objects creating moving objects. Does Golly's Patterns/Life/Breeders/rake-breeder.rle count?

`#C Rake puffer -- a type-MMM breeder#C Creates a new rake every 60 generations.#C Achim Flammenkamp, 1994#C From "rake-puff.lif" in Jason Summers' "jslife" pattern collection.x = 398, y = 405, rule = B3/S2381b2o5b4o\$79b2ob2o3bo3bo\$79b4o8bo\$80b2o5bo2bo2\$75b2o9bo\$73b5o8b3o\$73b2o4bo5bo3bo\$73b2o5b5o4bo\$75b2o4b4obob2o\$78b3ob2o3bo\$84bobo2\$64bo\$62b2o24b4o\$63b2o22bo3bo\$70b4o17bo\$69bo3bo13bo2bo\$49bo23bo\$47b2o20bo2bo\$48b2o14b2o\$63b4o\$53bo9b2ob2o\$53bo11b2o\$49bo2b2o4bobo\$49bo7bo2b2o\$49bo2b2o4bobo\$53bo11b2o\$19bo20b2o11bo9b2ob2o\$17b2o20b4o20b4o\$18b2o19b2ob2o20b2o\$30b3ob2o5b2o\$29b2o5bo\$28bo7b2o\$29b2o5bo\$30b3ob2o5b2o\$39b2ob2o\$39b4o\$40b2o\$20bo2bo\$24bo\$20bo3bo\$10b2o9b4o\$9b2o5b3o\$5b3o6b2ob2o\$9b2o5b3o\$10b2o9b4o\$20bo3bo19bo2bo\$24bo23bo\$20bo2bo7b2o11bo3bo\$33bo11b4o\$28bo7b2o2b3o\$13b3o11bo8b2o2b3o\$13bo14bo7b2o2b3o\$14bo18bo11b4o\$31b2o11bo3bo\$48bo80b2o5b4o\$28b3o13bo2bo79b2ob2o3bo3bo\$28bo98b4o8bo\$29bo23b2o73b2o5bo2bo\$51b2ob2o\$51b4o16b2o\$43b3o6b2o15b2ob2o53bo7b2o\$43bo25b4o45b5o7b2o3bobo\$44bo25b2o46bo18bo\$119b3o13b3o\$60bo3bo55bo4b2o\$60b2o5b3o55b2o\$55b2o9bob3o\$54bo6bo8b2o\$3o5b3o3b3o36bo3bo3b8obo38bo26b4o\$o2bo4bo2bo2bo2bo36bo3bo7b4o37b2o26bo3bo\$o7bo5bo43bo8bo40b2o8b4o17bo\$o7bo5bo102bo3bo13bo2bo\$bobo5bobo3bobo42bo2bo57bo\$64bo6b2o21bo22bo2bo\$60bo3bo4b2ob2o18b2o18b2o\$61b4o4b4o20b2o16b4o13b4o\$bo68b2o29bo9b2ob2o11bo3bo12bo2bo\$3o98bo11b2o16bo16bo\$ob2o75bo17bo2b2o4bobo18bo2bo13bo3bo\$b3o73b2o18bo7bo2b2o35b4o\$b2o75b2o17bo2b2o4bobo\$101bo11b2o6bo\$88b2o11bo9b2ob2o6bo18bobo\$87b4o20b4o5b3o12b3ob2o3bo\$87b2ob2o20b2o18b2o4b4obob2o\$16b3o59b3ob2o5b2o39b2o5b5o4bo\$15bo2bo58b2o5bo31bo13b2o4bo5bo3bo\$18bo57bo7b2o31bo12b5o8b3o\$18bo30bo27b2o5bo30b3o14b2o9bo\$15bobo29b2o29b3ob2o5b2o\$48b2o37b2ob2o45b2o5bo2bo\$87b4o20bo24b4o8bo\$88b2o22bo23b2ob2o3bo3bo\$110b3o18b2o5b2o5b4o\$129b2ob2o\$45b2o28b2o28b2o10b3o5bo3b4o\$45b2o28b2o28b2o7bo2b3o3b2obo3b2o\$114bobo6bo3bo\$30b3o5b3o73bo2b3o3b2obo3b2o\$30bo2bo4bo2bo9b2o64b3o5bo3b4o\$30bo7bo12bobo42b4o8bo2bo17b2ob2o\$30bo7bo12bo32bo10bo3bo12bo18b2o\$31bobo5bobo41bobo4b2o7bo8bo3bo\$81b2o2bo3b4o2bo2bo10b4o\$79b2obo5bo3b2o\$81b2o2bo3b4o2bo2bo\$31bo51bobo4b2o7bo\$30b3o51bo10bo3bo\$30bob2o62b4o20b4o\$31b3o47b2o36bo3bo\$31b2o48bobo31bo7bo\$81bo28b7o2bo2bo\$109bo2b3ob2o\$110b7o2bo2bo\$96b2o17bo7bo\$46b3o47bobo20bo3bo\$45bo2bo47bo23b4o\$48bo\$48bo78b2o\$45bobo63b2o13b4o\$111bobo12b2ob2o14b2o42b2o5b4o\$111bo16b2o14b4o39b2ob2o3bo3bo\$144b2ob2o38b4o8bo\$146b2o40b2o5bo2bo\$125bo\$124b3o59bo\$123bob2o3bo11bo42b2o8b2o\$123bo6bo10b4o39bo9bo2bo\$60b3o5b3o53bo14b5obo39b5o4bo2bo\$60bo2bo4bo2bo66bo6b2o39b4o3b2ob2o\$60bo7bo68bo3bob3o43bo4b2o\$60bo7bo69bo3b3o\$61bobo5bobo67bo32bobo\$173b3o\$145b2o26b3o20b4o\$136b4o4b4o47bo3bo\$61bo73bo3bo4b2ob2o29b4o17bo\$60b3o76bo6b2o12bo16bo3bo13bo2bo\$60bob2o71bo2bo19b2o21bo\$61b3o95b2o16bo2bo\$61b2o109b2o\$171b4o13b4o\$145bo15bo9b2ob2o11bo3bo12bo2bo\$143b2o16bo11b2o16bo16bo\$144b2o11bo2b2o4bobo18bo2bo13bo3bo\$76b3o78bo7bo2b2o35b4o\$75bo2bo78bo2b2o4bobo15b3o\$78bo82bo11b2o\$78bo49b2o2bo15b2o11bo9b2ob2o7bo2bo14b2o\$75bobo51bo3bo13b4o20b4o8bobo18bo\$131bo15b2ob2o20b2o4bo20b2o4b2o\$138b3ob2o5b2o28bo18b2o6bo\$137b2o5bo32b3o17b2o7bo\$136bo7b2o52bo3bo2bo\$137b2o5bo58bo\$138b3ob2o5b2o22bo\$147b2ob2o22bo22b2o5bo2bo\$100bo46b4o21b3o21b4o8bo\$90b3o5b2o48b2o46b2ob2o3bo3bo\$90bo2bo4bo2bo89b2o5b2o5b4o\$90bo7bo2bo66bo20b2ob2o\$90bo7bo30b2o28b2o8bo7b3o5bo3b4o\$91bobo5bo3bo25b2o28b2o6b3o4bo2b3o3b2obo3b2o\$104bo69bobo6bo3bo\$101b2o71bo2b3o3b2obo3b2o\$177b3o5bo3b4o\$91bo64b4o8bo2bo17b2ob2o\$90b3o51bo10bo3bo12bo18b2o\$90bob2o49bobo4b2o7bo8bo3bo\$91b3o47b2o2bo3b4o2bo2bo10b4o\$91b2o46b2obo5bo3b2o\$141b2o2bo3b4o2bo2bo\$143bobo4b2o7bo\$144bo10bo3bo\$156b4o20b4o\$106b3o70bo3bo\$105bo2bo66bo7bo\$108bo38b2o21b7o2bo2bo\$108bo38bobo19bo2b3ob2o\$105bobo39bo22b7o2bo2bo\$175bo7bo\$164bobo12bo3bo\$162b4o14b4o\$162bo2bo\$162bo24b2o\$186b4o\$186b2ob2o14b2o40b2o5b4o\$177b2o9b2o14b4o37b2ob2o3bo3bo\$120b3o54bobo24b2ob2o36b4o8bo\$120bo2bo53bo28b2o38b2o5bo2bo\$120bo\$120bo130b2o\$121bobo70b2o39bob2o11b5o\$193bo2bo36bo5bo10bo4bo\$188b3o13b2o33bo10b3o2bo\$187bo2bo8bo5b2o26bo5bo11bo2b2o\$121bo65b2ob2o3bo3bo4b2o28bo3bo2b2o9b2o\$120b3o72bo4bo3bo30b3o3b2o\$120bob2o73bo\$121b3o\$121b2o82b2o47b4o\$196b4o4b4o16bo28bo3bo\$195bo3bo4b2ob2o13b2o12b4o17bo\$199bo6b2o15b2o10bo3bo13bo2bo\$195bo2bo40bo\$136b3o96bo2bo\$135bo2bo91b2o\$138bo70bo19b4o13b4o\$138bo70bo9bo9b2ob2o11bo3bo12bo2bo\$135bobo81bo11b2o16bo16bo\$215bo2b2o4bobo18bo2bo13bo3bo\$194bo20bo7bo2b2o35b4o\$192b2o21bo2b2o4bobo\$193b2o24bo11b2o\$206b2o11bo9b2ob2o4bo13b2o\$205b4o20b4o6bo7bo4b2o\$205b2ob2o20b2o5b3o6b3o13b3o\$196b3ob2o5b2o36bo18bo\$150b3o42b2o5bo42b5o7b2o3bobo\$150bo2bo40bo7b2o29bo20bo7b2o\$150bo44b2o5bo31bo\$150bo45b3ob2o5b2o23b3o\$151bobo51b2ob2o45b2o5bo2bo\$205b4o45b4o8bo\$206b2o20bo25b2ob2o3bo3bo\$229bo19b2o5b2o5b4o\$151bo75b3o17b2ob2o\$150b3o28b2o28b2o22b3o5bo3b4o\$150bob2o27b2o28b2o19bo2b3o3b2obo3b2o\$151b3o78bobo6bo3bo\$151b2o70bo8bo2b3o3b2obo3b2o\$223bo11b3o5bo3b4o\$214b4o8bo2bo17b2ob2o\$202bo10bo3bo12bo18b2o\$201bobo4b2o7bo8bo3bo\$166b3o30b2o2bo3b4o2bo2bo10b4o\$165bo2bo28b2obo5bo3b2o\$168bo30b2o2bo3b4o2bo2bo\$168bo32bobo4b2o7bo\$165bobo34bo10bo3bo\$196b2o16b4o20b4o\$196bobo38bo3bo\$196bo36bo7bo\$228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People have been building things like this for over twenty years. If the "rakes moving in the opposite direction" is really part of the requirement, I don't remember if there's an existing example, but it doesn't seem like it should be terribly difficult to cobble one together.

dvgrn
Moderator

Posts: 5744
Joined: May 17th, 2009, 11:00 pm

### Re: Challenge: Moving Rake Gun (AKA Rake Rake)

I do mean one that moves in the opposite direction.
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 774
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Gamedziner wrote:I do mean one that moves in the opposite direction.

Okay. I've very seldom built any kind of complex rake or breeder, but here's at least a possible way to tackle the problem. Maybe the following will encourage some rake expert to chime in and set the record straight.

The rake breeder I quoted uses all backward p60 rakes, plus some block puffers to start things off. You can use some of the same construction recipes to build rakes that travel west instead of north -- but you'll have to use both forerakes and backrakes as well as block puffers. Or you could make blocks by colliding forward and backward gliders, but I think that might be overkill. Let's see how it goes.

Those long backrakes with the p20 streams thinned out by multiple Schick engines are terribly last century -- last millenium, even. Also, period 60 may be too fast, given that the output rakes will be running away backwards. Let's try using rakes from Jason Summers' jslife collection. We want to build a rake moving in this direction:

`x = 40, y = 19, rule = B3/S2335b4o\$19bo2bo12bo3bo\$18bo16bo\$18bo3bo13bo2bo\$18b4o3\$obo16bo2bo\$b2o15bo\$bo16bo3bo\$18b4o\$8bo\$8bobo\$8b2o2\$19bo2bo5b2o\$18bo8b4o\$18bo3bo3b2ob2o\$18b4o5b2o!`

So let's see if p60 rakes can handle doing the necessary constructions:

`x = 140, y = 61, rule = LifeHistory50.2A66.A2.A\$49.4A69.A\$49.2A.2A64.A3.A\$51.2A15.2A49.4A13.4A\$66.2A.2A64.A3.A\$66.4A69.A\$67.2A33.6A27.A2.A\$101.A5.A\$55.2A50.A11.A4.2A\$40.A.A6.3A3.2A9.A34.A4.A4.A6.A.A3.2A9.2A\$41.2A6.3A14.2A35.2A4.A.A5.A3.A12.A2.A\$41.A6.A3.A12.A.2A41.2A5.A3.A12.A2.A\$48.4A13.A.A49.A3.A11.2A.2A\$49.3A13.2A50.A2.A13.2A\$25.3A7.A.A68.A12.A\$24.5A7.2A66.A.A\$24.3A.2A6.A20.A2.A44.2A\$27.2A32.A6.2A28.2A18.A2.A7.2A5.4A\$57.A3.A4.2A.2A27.A.A21.A4.2A.2A3.A3.A\$30.A.A18.4A3.4A4.4A31.A16.A3.A4.4A8.A\$23.2A6.2A17.A3.A12.2A29.A2.A6.2A9.4A5.2A5.A2.A\$31.A14.A7.A40.3A9.2A5.3A\$41.7A2.A2.A41.A7.3A6.2A.2A\$40.A2.3A.2A47.A3.A6.2A5.3A\$41.7A2.A2.A43.3A8.2A9.4A\$46.A7.A63.A3.A\$50.A3.A67.A\$51.4A63.A2.A4\$15.D.D\$13.D5.D2\$12.D2.A.A2.D\$16.2A\$12.D3.A3.D2\$13.D5.D33.A\$15.D.D35.A.A\$53.2A2\$35.4A\$19.A2.A12.A3.A\$18.A16.A\$18.A3.A13.A2.A\$18.4A3\$A.A16.A2.A\$.2A15.A\$.A16.A3.A\$18.4A\$8.A\$8.A.A\$8.2A2\$19.A2.A5.2A\$18.A8.4A\$18.A3.A3.2A.2A\$18.4A5.2A!`

Nope -- one problematic glider is circled in red. How about p120?

`x = 400, y = 112, rule = B3/S23116b4o\$115b6o\$115b4ob2o\$119b2o2\$130b2o\$129b4o\$129b2ob2o\$120b3ob2o5b2o\$75bo43b2o5bo\$73bo3bo40bo7b2o\$78bo28bo11b2o5bo\$73bo4bo28bobo10b3ob2o5b2o\$74b5o28b2o20b2ob2o\$129b4o\$130b2o\$115b6o\$89bo24bo5bo\$89bobo28bo\$82bo6b2o23bo4bo\$81b2o33b2o\$81bobo2\$71bo36b4o\$71bobo23bo9bo3bo\$71b2o23b2o13bo14b4o\$96bobo8bo2bo14bo3bo\$129bo\$125bo2bo2\$109bo4b2o\$108bobo3b2o9b2o\$107bo3bo12bo2bo\$56b3o48bo3bo12bo2bo\$55b5o47bo3bo11b2ob2o\$55b3ob2o46bo2bo13b2o\$58b2o49bo3\$119b2o5b4o\$60bobo54b2ob2o3bo3bo\$61b2o54b4o8bo\$61bo56b2o5bo2bo7\$141b5o\$140bo4bo18bo2bo\$145bo22bo6b2o\$140bo3bo19bo3bo4b2ob2o\$142bo22b4o4b4o\$152b3o4bo14b2o\$152b2o4bobo\$117b2o31b2ob2o3bobo5bo\$113b4ob2o30bo13bo4bo3bo\$113b6o31b2o3b2o7bo3bo4b2o\$114b4o34b4o7bo4bo5b2o\$154bo8b2o8b2o2\$130b2o\$130b4o\$129bo3bo\$130bo16b4o12b5o7b2o\$129bo16bo3bo11bo4bo5b2ob2o\$129bob2o4bo4bo7bo16bo5b4o\$128bo4b2o2b7o2bo2bo12bo3bo7b2o\$130b2o3b2o2b3ob2o19bo\$30bobo102bo2b6o2bo2bo\$31b2o102bo6bo7bo\$31bo114bo3bo\$147b4o\$98bo\$98bobo\$98b2o17\$35b4o116b4o116b4o116b4o\$19bo2bo12bo3bo99bo2bo12bo3bo99bo2bo12bo3bo99bo2bo12bo3bo\$18bo16bo102bo16bo102bo16bo102bo16bo\$18bo3bo13bo2bo98bo3bo13bo2bo98bo3bo13bo2bo98bo3bo13bo2bo\$18b4o116b4o116b4o116b4o3\$obo16bo2bo116bo2bo116bo2bo116bo2bo\$b2o15bo119bo119bo119bo\$bo16bo3bo115bo3bo115bo3bo115bo3bo\$18b4o116b4o116b4o116b4o\$8bo\$8bobo\$8b2o2\$19bo2bo5b2o109bo2bo5b2o109bo2bo5b2o109bo2bo5b2o\$18bo8b4o107bo8b4o107bo8b4o107bo8b4o\$18bo3bo3b2ob2o107bo3bo3b2ob2o107bo3bo3b2ob2o107bo3bo3b2ob2o\$18b4o5b2o109b4o5b2o109b4o5b2o109b4o5b2o!`

Good, no collision troubles this time. We could probably find a shorter period that would work just as well, but p120 has reasonable sized rakes so let's just go with that. So maybe the next step is to locate a reasonable p120 block puffer. I tried adding an HWSS to a p120 backrake and came up with this:

`x = 72, y = 32, rule = B3/S23b6o\$o5bo\$6bo\$o4bo\$2b2o\$42b2o\$41b4o\$4b2o23bo11b2ob2o\$3b2o22b2obo3bo2bo5b2o\$5bo19b5o4bo3bo\$25bo2bo4bo4b2o\$25b5o4bo3bo28bo2bo\$27b2obo3bo2bo5b2o15b2o9bo\$29bo11b2ob2o11b3ob2o4bo3bo\$41b4o12b5o6b4o\$42b2o14b3o2\$34b2o\$33b2o31b2o\$9b2o24bo19b2o8bo2b2o\$7bo4bo42b3o6b3o2bo\$13bo38bo2bobo6bo4bo\$7bo5bo38b2o2bo7b5o\$8b6o51b2o2\$60b2o5bo2bo\$59b4o8bo\$59b2ob2o3bo3bo\$38b2o21b2o5b4o\$35b3ob2o\$35b5o\$36b3o!`

Having a block sitting around for a long time in a spaceship lane will probably be a problem, especially when two spaceships have to follow each other closely. We might need different recipes for those cases -- build a block from one side with two gliders, maybe, and then immediately hit it with two more gliders to make the LWSS. But at least for the first, central LWSS stream we can use the block puffer plus two gliders:

`x = 862, y = 190, rule = B3/S23152b2o\$150bo4bo\$156bo\$150bo5bo\$151b6o2\$164bo2bo\$168bo\$153bo10bo3bo\$154b2o9b4o\$153b2o5b3o\$149b3o6b2ob2o\$112b2o36b2ob2o5b3o\$109b3ob2o25bo13b2o9b4o\$109b5o24b2o24bo3bo\$110b3o26b2o27bo\$151b4o9bo2bo\$150b6o\$150b4ob2o\$122bo31b2o\$120b2o\$121bobo2\$121b2o21b2o\$114bo7bo20b4o\$112bobo28b2ob2o14b2o\$113b2o30b2o14b4o\$137b2o22b2ob2o\$137bobo23b2o\$137bo\$159bo\$157bo\$153bo3bo2b2o\$92bo56bo2b3obo5bo\$90bo3bo53bob5o2bobo2b2o\$95bo51b2ob2o5bo3b2o\$90bo4bo52bo2bo7b3o\$91b5o\$149b2o\$162b2o\$153b4o4b4o\$152bo3bo4b2ob2o\$156bo6b2o\$152bo2bo6\$177b3o\$176b5o\$176b3ob2o\$179b2o21b2o5b4o\$200b2ob2o3bo3bo\$84bo115b4o8bo\$82bobo93bo22b2o5bo2bo\$83b2o93b2o\$149b6o23b2o19bo\$148bo5bo30bo12b2o8b2o\$154bo28b2o12bo9bo2bo\$148bo4bo30b2o12b5o4bo2bo\$150b2o47b4o3b2ob2o\$202bo4b2o3\$183b2o14b3o\$182b4o12b5o6b4o\$172bo9b2ob2o11b3ob2o4bo3bo\$172bo11b2o15b2o9bo\$168bo2b2o4bobo28bo2bo\$168bo7bo2b2o\$168bo2b2o4bobo\$172bo11b2o\$172bo9b2ob2o\$182b4o\$183b2o9\$54bo\$52bobo\$53b2o2\$95bo\$93b2o\$94b2o3\$19b2o118b2o118b2o118b2o118b2o118b2o\$18b4o116b4o116b4o116b4o116b4o116b4o\$17b2ob2o115b2ob2o115b2ob2o115b2ob2o115b2ob2o115b2ob2o\$b2o15b2o101b2o15b2o101b2o15b2o101b2o15b2o101b2o15b2o101b2o15b2o\$2ob2o115b2ob2o115b2ob2o115b2ob2o115b2ob2o115b2ob2o\$b4o116b4o116b4o116b4o116b4o116b4o\$2b2o118b2o118b2o118b2o118b2o118b2o\$791b6o\$790bo5bo\$4b4o3bobo107b2o118b2o118b2o118b2o118b2o193bo\$3b2o2bo2bo4bo104b2ob2o115b2ob2o115b2ob2o115b2ob2o115b2ob2o70b2o58b2o53bo4bo\$2b2o2bo4bo3bo105b4o116b4o116b4o116b4o116b4o70b2o58b2o55b2o\$3bo2bo5bo3bo105b2o118b2o118b2o118b2o118b2o228b2o\$4b2o8b2o815b4o\$14b2o805bo9b2ob2o\$797b2o22bo11b2o\$10bo2bo116bo2bo116bo2bo116bo2bo116bo2bo116bo2bo182b2o19bo2b2o4bobo\$b2o6bo111b2o6bo111b2o6bo111b2o6bo111b2o6bo111b2o6bo188bo18bo7bo2b2o\$2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo203bo2b2o4bobo28bo2bo\$b4o4b4o108b4o4b4o108b4o4b4o108b4o4b4o108b4o4b4o108b4o4b4o208bo11b2o15b2o9bo\$2b2o118b2o118b2o118b2o118b2o118b2o217bo9b2ob2o11b3ob2o4bo3bo\$831b4o12b5o6b4o\$700b2o130b2o14b3o\$699b4o\$689bo9b2ob2o\$689bo11b2o124b2o13bo\$685bo2b2o4bobo102b2o25b2o13b2o4b2o8b3o\$685bo7bo2b2o99bo4bo25bo11bob3ob2o11bo\$685bo2b2o4bobo28bo2bo74bo36b2obob4o3b2o3bobo\$689bo11b2o15b2o9bo67bo5bo39bobo3bo7b2o\$689bo9b2ob2o11b3ob2o4bo3bo68b6o40bo\$699b4o12b5o6b4o\$700b2o14b3o131b2o5bo2bo\$849b4o8bo\$647b3o199b2ob2o3bo3bo\$649bo69bo4b2o102b2o21b2o5b4o\$648bo18b2o47b4o3b2ob2o97b3ob2o\$665bo4bo30b2o12b5o4bo2bo97b5o\$671bo28b2o12bo9bo2bo98b3o\$665bo5bo30bo12b2o8b2o\$666b6o23b2o19bo\$695b2o\$695bo22b2o5bo2bo\$717b4o8bo\$717b2ob2o3bo3bo\$696b2o21b2o5b4o\$693b3ob2o\$693b5o\$694b3o7\$735b2o\$726b4o4b4o\$725bo3bo4b2ob2o\$729bo6b2o\$665bo59bo2bo\$663bo3bo\$668bo\$663bo4bo57b2o\$664b5o57bo7b2o\$677b3o46bo2bo5b2o\$679bo47b3o4b2o\$678bo34bo15b2o3bo\$713bo\$713bobo\$714bo20b2o\$714bo19b4o\$717b2o15b2ob2o\$700bo15b4o16b2o\$699bo16b2ob2o\$699b3o16b2o4\$724b4o\$723b6o\$705bo17b4ob2o\$704b2o21b2o\$704bobo\$738b4o\$685b2o50bo3bo\$682b3ob2o53bo\$682b5o36bo9b2o2bo2bo\$683b3o36b2o9b3o\$722bobo8b2o2bo2bo\$741bo\$737bo3bo\$738b4o\$725b2o\$723bo4bo\$729bo\$723bo5bo\$724b6o!`

So far so good. Just four more LWSSes to build, two from each side presumably.

It looks like the one-sided insertion mechanism in the space-rake maker that toroidalet found can just barely build an LWSS as close in front of an existing LWSS as we're going to need for the tightest-packed pair of spaceships in the space rake:

`x = 62, y = 22, rule = B3/S2357b4o\$57bo3bo\$57bo\$58bo2bo\$23b2o\$22b2o\$15bo8bo\$15b2o\$14bobo8\$b2o\$obo\$2bo\$38b2o\$37b2o\$39bo!`

But maybe it would be good to go have a close look at that space-rake maker. It actually builds the LWSSes in a very different order that what I've outlined here, creating an ecologist first and then adding the final spaceship afterwards that turns it into a space rake. So there are a couple of LWSSes that will need four synchronized gliders to build using the above outline, where they might only need three gliders apiece with a different build order.

Anyone else care to contribute to (or complete) this interesting experiment?

dvgrn
Moderator

Posts: 5744
Joined: May 17th, 2009, 11:00 pm

### Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Here is an almost entirely unoptimised solution. I went with the original synthesis method (although in a different order) because getting the B in place simultaneously with an LWSS to stablisie it seemed far to tricky with the available rakes. Some of the rakes are altered to allow them to be packed in closer together, aside from that I went with a fairly naive construction.
`x = 663, y = 262, rule = B3/S23623b2o\$619b4ob2o\$619b6o\$620b4o2\$635b2o\$633b2ob2o\$619bo9bo3b4o\$618bo11bo3b2o\$618b3o7bo2bo\$578b5o47bo3b2o\$577bo4bo46bo3b4o\$582bo50b2ob2o\$577bo3bo19bo18b2o13b2o\$579bo20bo17bo4bo\$600b3o21bo\$618bo5bo\$619b6o4\$611bo2bo\$596b2o17bo\$249b6o340b2o14bo3bo13bo2bo\$248bo5bo342bo14b4o17bo\$254bo374bo3bo\$248bo4bo376b4o\$250b2o357b3o\$263b4o\$262bo3bo341bo2bo14b2o\$258bo7bo306bo34bobo18bo\$253b7o2bo2bo308b2o48b2o4b2o\$208b3o41bo2b3ob2o312b2o48b2o6bo\$207b5o29bobo9b7o2bo2bo296b2o58b2o7bo\$207b3ob2o28b2o15bo7bo292b3ob2o58bo3bo2bo\$210b2o30bo19bo3bo292b5o64bo\$263b4o293b3o\$622b2o5bo2bo\$252b2o367b4o8bo\$223bobo22b4ob2o366b2ob2o3bo3bo\$223b2o23b6o369b2o5b4o\$224bo24b4o2\$483b6o\$221b3o160b4o94bo5bo\$221bo21b2o138b6o99bo159b2o\$222bo18b2ob2o137b4ob2o92bo4bo156b4ob2o\$241b4o16b2o124b2o95b2o158b6o\$237bo4b2o15b2ob2o233b4o144b4o\$207bo28bobo20b4o135b2o96bo3bo\$208bo26bo24b2o135b4o84b3o4bo7bo159b2o\$206b3o28b2o158b2ob2o82b10o2bo2bo158b2ob2o\$390bo2bo5b2o41b3o40bo3b3ob2o149bo9bo3b4o\$250bobo3b4o83bo46bo3bo46b5o42b6o2bo2bo143bo11bo3b2o\$248bo4bo2bo2b2o80bo3bo32bo10bo4b2o45b3ob2o45bo7bo142b3o7bo2bo\$248bo3bo4bo2b2o84bo31bobo9bo3bo49b2o50bo3bo102b5o47bo3b2o\$189b5o53bo3bo5bo2bo80bo4bo31b2o10bo2bo5b2o65bobo28b4o101bo4bo46bo3b4o\$188bo4bo54b2o8b2o82b5o50b2ob2o64b2o139bo50b2ob2o\$193bo54b2o147b4o66bo18b2o114bo3bo19bo18b2o13b2o\$188bo3bo205b2o82b4ob2o115bo20bo17bo4bo\$190bo59bo2bo106bo22b6o93b6o55bo81b3o21bo\$254bo6b2o97bobo19bo5bo94b4o57b2o97bo5bo\$250bo3bo4b2ob2o96b2o26bo59bobo92b2o99b6o\$251b4o4b4o119bo4bo60b2o2b3o\$260b2o122b2o63bo2bo\$453bo23b2o\$359bo115b2ob2o156bo2bo\$358b2o16b4o95b4o16b2o143bo\$358bobo14bo3bo50bobo34b3o6b2o15b2ob2o126b2o10bo3bo13bo2bo\$379bo14b4o32b2o35bo25b4o107bo18b2o12b4o17bo\$279b5o91bo2bo14bo3bo33bo36bo25b2o109b2o18bo28bo3bo\$278bo4bo18bo2bo35bobo53bo206b2o49b4o\$283bo22bo6b2o27b2o28b3o18bo2bo87bo3bo\$278bo3bo19bo3bo4b2ob2o26bo29bo111b2o5b3o\$280bo22b4o4b4o56b2o106b2o9bob3o141b3o3b2o\$312b2o74b2o3b2o83bo6bo8b2o139bo3bo2b2o9b2o\$386bo6bobo27b5o49bo3bo3b8obo139bo5bo11bo2b2o\$255b2o49bo17b3o58bo2bo6bo26bo4bo50bo3bo7b4o146bo10b3o2bo\$251b4ob2o39b2o6bo3b3o11b5o56b2o7b3o31bo54bo8bo95b2o45bo5bo10bo4bo\$177bo73b6o40bob2o3bo3bob3o10b3ob2o56b2o35bo3bo157b3ob2o46bob2o11b5o\$178bo73b4o43b2o4bo6b2o12b2o96bo59bo2bo96b5o63b2o\$176b3o120bo6b5obo175bo6b2o88b3o\$275bo32b4o172bo3bo4b2ob2o149b2o5bo2bo\$275bobo31bo77b2o5b4o87b4o4b4o149b4o8bo\$75b3o197b2o108b2ob2o3bo3bo96b2o150b2ob2o3bo3bo\$74b5o306b4o8bo54b3o193b2o5b4o\$74b3ob2o205b4o12b5o7b2o71b2o5bo2bo54b5o\$77b2o21b2o5b4o162bo10bo3bo11bo4bo5b2ob2o135b3ob2o\$98b2ob2o3bo3bo161bobo4b2o7bo16bo5b4o139b2o21b2o5b4o121b5o\$98b4o8bo159b2o2bo3b4o2bo2bo12bo3bo7b2o161b2ob2o3bo3bo120bo4bo18bo2bo\$99b2o5bo2bo158b2obo5bo3b2o19bo117bo54b4o8bo25bo99bo22bo6b2o\$270b2o2bo3b4o2bo2bo133bo44bo9b2o5bo2bo27b2o92bo3bo19bo3bo4b2ob2o\$47b6o52bo166bobo4b2o7bo118b6o6b3o42b4ob3o41b2o95bo22b4o4b4o\$46bo5bo39b3o5bo3bo2bo165bo10bo3bo117bo5bo16b3o31bo3b5o10bo159b2o\$52bo39bo2bo3b2o7bo176b4o123bo15b5o30b3o7bo8b3o85b2o\$46bo4bo48b2o6bo297bo4bo16b3ob2o30bo2b3o5bo5bo3bo80b4ob2o53bo\$48b2o44b2o5b2o4b2o290b5o4b2o10bo10b2o33bob2o6b5o4bo80b6o14b5o31bo4bob2o7b4o\$71bo34bo291bo4bo15bob2o44b5o4b5obob2o81b4o14bo4bo35bo4bo6bo2b2o\$44bo24b2o32b2o298bo14bo3bo45b3o2b2o3b2o3bo77b2o27bo34bo4bo8bo2b2o\$42b4o24b2o326bo3bo15b2o60bobo75b3ob2o10bo10bo3bo18bo13b2o5b2o8bo2bo\$41b2o38b2o14b3o300bo157b5o12b2o10bo20bobo29b2o\$41bo3bo34b4o12b5o6b4o200bobo144b2o14b3o82b3o12b2o32b2o\$42b4o24bo9b2ob2o11b3ob2o4bo3bo201b2o101b2o4b2o2bo31b4o12b5o6b4o\$43bo26bo11b2o15b2o9bo201bo102b2o4bo2bo18b3o11b2ob2o11b3ob2o4bo3bo71bo\$50b2o14bo2b2o4bobo28bo2bo314bo23b3ob2o5b2o15b2o9bo70bo56b4o12b5o7b2o\$47b2ob2o14bo7bo2b2o342bobo23b2o5bo28bo2bo72bo44bo9bo3bo11bo4bo5b2ob2o\$48bobo15bo2b2o4bobo342bobo23bo7b2o149b2o11bo16bo5b4o\$49bo20bo11b2o336bo2bo23b2o5bo147b3o5b2o2bo2bo12bo3bo7b2o\$70bo9b2ob2o336b2o25b3ob2o5b2o140b3o6b3o19bo\$80b4o63bo309b2ob2o140b3o5b2o2bo2bo\$81b2o65bo308b4o144b2o11bo\$146b3o309b2o144bo9bo3bo\$185bo429b4o\$185bobo\$185b2o\$26bo2bo116bo2bo116bo2bo116bo2bo116bo2bo\$17b2o6bo111b2o6bo111b2o6bo111b2o6bo119bo\$11bo4b2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo106b2ob2o4bo3bo115bo3bo\$9b2o6b4o4b4o108b4o4b4o108b4o4b4o108b4o4b4o116b4o\$10b2o6b2o118b2o118b2o118b2o\$483bo134bo2bo\$bo482b2o136bo6b2o\$b2o480b2o133bo3bo4b2ob2o\$obo616b4o4b4o\$17b2o118b2o118b2o369b2o\$16b2ob2o115b2ob2o115b2ob2o\$17b4o116b4o116b4o296b5o60bo\$18b2o118b2o118b2o296bo4bo59bo3b3o\$561bo58bo3bob3o\$556bo3bo60bo6b2o\$17b2o539bo48bo14b5obo\$16b2ob2o14b2o70b2o46b2o118b2o118b2o209bo6bo10b4o\$17b4o13b4o69b2o45b4o116b4o116b4o208bob2o3bo11bo\$18b2o13b2ob2o115b2ob2o115b2ob2o115b2ob2o209b3o\$34b2o118b2o118b2o118b2o180b2o30bo\$575bobo51b2o\$577bo49b2ob2o\$529b2o63bo16b2o14b4o\$528b4o62bobo12b2ob2o14b2o\$374b2o142bo9b2ob2o61b2o13b4o\$372b2ob2o141bo11b2o78b2o\$360b3o5bo3b4o138bo2b2o4bobo\$357bo2b3o3b2obo3b2o139bo7bo2b2o\$357bobo6bo3bo50b2o58b3o19b2o9bo2b2o4bobo28bo2bo\$357bo2b3o3b2obo3b2o14b3o30b2o59bo18b2o14bo11b2o15b2o9bo61b2o\$360b3o5bo3b4o12b5o6b4o18bo60bo21bo13bo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The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1209
Joined: August 9th, 2013, 12:45 am

### Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Now we could ask, can we make a Rake of rakes of rakes, or more general can we make something relatively simple that shoots Rake^N ? Probably something recursive...

simsim314

Posts: 1696
Joined: February 10th, 2014, 1:27 pm

### Re: Challenge: Moving Rake Gun (AKA Rake Rake)

That would be cubic growth, which isn't very possible in a 2D automata like this.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3409
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Challenge: Moving Rake Gun (AKA Rake Rake)

simsim314 wrote:Now we could ask, can we make a Rake of rakes of rakes, or more general can we make something relatively simple that shoots Rake^N ? Probably something recursive...

This idea has come up a couple of times recently. Rake^(N+1)s are really painfully exponentially harder to build than rake^N's, especially above N=2 where you either have rake outputs crashing into each other, or getting suppressed, or you have to build in some kind of rake-thinning mechanism at each level as Calcyman mentioned. So this looks to me like a challenge that's very much worth avoiding...!

dvgrn
Moderator

Posts: 5744
Joined: May 17th, 2009, 11:00 pm

### Re: Challenge: Moving Rake Gun (AKA Rake Rake)

Unless you can get some sort of moving caber tosser type growth of course, a concept which does not seem very search-friendly.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3409
Joined: January 28th, 2016, 2:47 pm
Location: Scotland