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### 31c/240 caterpillar working notes

Posted: January 4th, 2014, 12:25 am
Back in April 2013 I came up with a fuse of blocks that's reburnable by Herschel pairs, in a way that releases lots of gliders. There's also an (8,27)c/240 oblique version, with various possible minor variations in the spacing of the two block chains:

`x = 54, y = 250, rule = LifeHistory2C\$2C6\$44.2C\$44.2C23\$2C\$2C6\$44.2C\$44.2C23\$2C\$2C6\$44.2C\$44.2C23\$2C\$2C6\$44.2C\$44.2C23\$2C\$2C6\$44.2C\$44.2C23\$2C\$2C6\$44.2C\$44.2C23\$2C\$2C6\$44.2C\$44.2C23\$2C\$2C6\$44.2C\$44.2C15\$7.3A\$8.A\$6.3A5\$51.3A\$52.A\$50.3A!`

Calcyman made a start at working out how to use the 31c/240 fuses to construct a Caterpillar-type spaceship:
calcyman wrote:Here's a potential basis for a forward rake travelling on a symmetrical arrangement of four block tracks:

`x = 682, y = 1439, rule = B3/S23382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o28\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o19\$b2o\$2o\$2bo7\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o17\$61b2o\$60b2o\$62bo9\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o15\$121b2o\$120b2o\$122bo11\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o13\$181b2o\$180b2o\$182bo13\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o11\$241b2o\$240b2o\$242bo7\$540b3o2\$540bobo134b3o\$539bo\$539bo3bo133bobo\$676bo\$539b2o2bo132bo3bo2\$374b3o299b2o2bo\$373bo2bo\$237b3o133b2obo\$236bo2bo144b2o145b2o\$236b2obo144b2o145b2o8b2o\$247b2o292b2o125b2o\$247b2o419b2o8b2o\$678b2o\$384bo\$382bobo\$247bo135b2o147bo\$245bobo282bo2bo\$246b2o53b2o226b2o138bo\$300b2o226bo3bo134bo2bo\$302bo83b2o141bo2bo133b2o\$386b2o142b2o133bo3bo\$249b2o415bo2bo\$249b2o416b2o5\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o10\$374b2o165b2o\$374b2o165b2o\$237b2o439b2o\$237b2o439b2o3\$361b2o\$360b2o\$362bo5\$431bo\$432b2o\$294bo136b2o\$295b2o\$294b2o184bo\$382b2o95bo53b2o\$382b2o95b3o51b2o82bo\$245b2o369bo53b2o\$245b2o369b3o51b2o10\$374b2o165b2o\$374b2o165b2o\$237b2o439b2o\$237b2o439b2o\$421b2o\$420b2o\$422bo\$326bo\$326bobo\$189bo136b2o\$189bobo\$189b2o402bo\$594b2o\$593b2o5\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o10\$374b2o165b2o\$374b2o165b2o\$237b2o439b2o\$237b2o439b2o15\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o10\$374b2o165b2o\$374b2o165b2o\$237b2o439b2o\$237b2o439b2o10\$354bo\$355b2o\$354b2o2\$557bo\$382b2o149b2o21bo\$382b2o149b2o21b3o\$245b2o423b2o\$245b2o423b2o10\$374b2o165b2o\$374b2o165b2o\$237b2o439b2o\$237b2o439b2o2\$266bo\$266bobo\$129bo136b2o\$129bobo\$129b2o522bo\$654b2o\$653b2o7\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o12\$237b2o439b2o\$237b2o439b2o15\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o18\$91b3o3\$126b3o\$126bo\$127bo5\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o18\$91b3o\$186b3o\$186bo\$187bo7\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o17\$246b3o\$91b3o152bo\$247bo8\$376b3o2\$239b3o134bo163b2o\$375b4o160bo2bo\$239bo134b5o5b2o145b2o6bo137b2o\$238b4o132b2o3bo4b2o145b2o7bo3bo131bo2bo\$237b5o5b2o127b3o161bo127b2o6bo\$237b2o3bo4b2o285bo6b4o123b2o7bo3bo\$239b3o291bo6b2o135bo\$533b3o135bo6b4o\$670bo6b2o\$670b3o3\$373b2o\$374bobo9b2o141b2o\$236b2o137bo10b2o141b2o\$237bobo9b2o415b2o\$238bo10b2o415b2o\$306b3o\$306bo\$307bo\$91b3o\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o10\$374b2o165b2o\$374b2o165b2o\$237b2o439b2o\$237b2o439b2o4\$426bo\$427bo\$289bo135b3o\$290bo\$288b3o\$366b3o116bobo\$366bo118b2o\$367bo118bo135bobo\$622b2o\$623bo\$91b3o\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o10\$374b2o165b2o\$333bo40b2o165b2o\$237b2o92b2o345b2o\$196bo40b2o93b2o344b2o\$194b2o\$195b2o391bo\$589bo\$587b3o3\$426b3o\$426bo\$427bo5\$91b3o\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o10\$374b2o165b2o\$374b2o165b2o\$237b2o439b2o\$237b2o439b2o14\$91b3o\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o10\$374b2o165b2o\$374b2o165b2o\$237b2o439b2o\$237b2o439b2o4\$349bo\$350bo\$348b3o3\$562bobo\$562b2o\$563bo3\$91b3o\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o9\$273bo\$271b2o101b2o165b2o\$136bo135b2o100b2o165b2o\$134b2o101b2o439b2o\$135b2o100b2o409bo29b2o\$649bo\$647b3o12\$91b3o\$382b2o149b2o\$382b2o149b2o\$245b2o423b2o\$245b2o423b2o12\$237b2o439b2o\$237b2o439b2o14\$91b3o!`

Here's a diagram of what the 31c/240 spaceship will resemble:

A NW-directed glider from the east side is reflected 180° by a stream of N-directed *WSSes on the west side to collide with another NW-directed glider, synthesising a single track of blocks on the west side. A Herschel moves along this, producing some dirty output that can be cleaned by more waves of NW-directed gliders from the east side. The glider output of this Herschel collides with another wave of NW-directed gliders to build an adjacent track of blocks. Repeating this process, we can get many parallel block tracks.

Once we have eight correctly-positioned block tracks, we can support clean 31c/240 forerakes, backrakes and rephasers. We can get arbitrary positioning (since 31 is nice and coprime with the shift caused by each Herschel-based rake) and arbitrary phasing (since the block tracks are period-1), so we should be able to construct absolutely anything with appropriate combinations of forerakes, backrakes and rephasers. In particular, we can provide the forward wave of *WSSes.

Anyone care to work on sorting out the next few problems on the way to a 31c/240 spaceship -- say, the Herschel-pair placements and timings needed to suppress the output gliders on the right side of the forward rake, or the details of the LWSS and glider interactions that will be needed at the nose of the spaceship?

### Re: 31c/240 caterpillar working notes

Posted: January 7th, 2014, 5:13 pm
dvgrn wrote:Anyone care to work on sorting out the next few problems on the way to a 31c/240 spaceship -- say, the Herschel-pair placements and timings needed to suppress the output gliders on the right side of the forward rake, or the details of the LWSS and glider interactions that will be needed at the nose of the spaceship?

Looking at this again, 31c/240 is a nice slow speed -- LWSSes might not even be needed.

An alternate spaceship design might look like this:

Each of the four blue corners marked by the X's would need to contain some target object, which will be hit by a glider salvo that plays the role of a Caterpillar helix. The target will have to be pushed (0,-31) in 240 ticks or less, while emitting a 90-degree output glider. I've shown only four block trails, though probably the full spaceship will need more -- eight trails seems like a likely minimum (?).

It seems possible that a fairly simple glider salvo could manage this trick, perhaps in several asynchronous stages. I don't quite have a fast enough (0,-31) block move in my slow-salvo libraries, so here's a trial run with a shorter step size, just to show the idea:

`#C asynchronous (0,-22) glider helixx = 167, y = 158, rule = LifeHistory2D\$2D21\$2D\$2D20\$5.A\$2E2.2A\$2E2.A.A6\$19.2A\$18.2A\$20.A6\$18.2A\$17.2A\$19.A8\$26.3A\$26.A\$27.A2\$44.3A\$38.3A3.A\$38.A6.A\$31.2A6.A\$30.2A\$32.A12.A\$38.A5.2A\$37.2A5.A.A\$37.A.A25.A\$64.2A\$64.A.A6\$79.2A\$78.2A\$80.A6\$78.2A\$77.2A\$79.A8\$86.3A\$86.A\$87.A2\$104.3A\$98.3A3.A\$98.A6.A\$91.2A6.A\$90.2A\$92.A12.A\$98.A5.2A\$97.2A5.A.A\$97.A.A25.A\$124.2A\$124.A.A6\$139.2A\$138.2A\$140.A6\$138.2A\$137.2A\$139.A8\$146.3A\$146.A\$147.A2\$164.3A\$158.3A3.A\$158.A6.A\$151.2A6.A\$150.2A\$152.A12.A\$158.A5.2A\$157.2A5.A.A\$157.A.A!`

Might this be simpler than the LWSS-based design?

I don't know yet exactly how to get Herschel-pair climbers to generate this kind of salvo, though. Wondered if it might work to incrementally build Blockic salvo seeds along each side of the block trails, then trigger them every 240 ticks. It might not be necessary to do any of the period-multiplying tricks required by the original Caterpillar -- though 240 ticks does seem a bit tight, at least for a Blockic salvo seed that has to fit inside a 31-cell band.

### Re: 31c/240 caterpillar working notes

Posted: January 7th, 2014, 10:02 pm
I think a combination of the helix and block pusher ideas could also work; for each lane in the final construction, generate a small stream of xWSS's traveling forward. Later a glider moving outward and forward can hit the front of the stream, creating a glider that will fly back to create a block in the track. This should be fairly simple to implement, as if I'm not mistaken the necessary ship salvos for turning gliders already exist.

EDIT: Here is what the front of one support stream might look like (this setup would work, the question is if it can be improved):
`x = 188, y = 292, rule = B3/S23180b2o\$181b2o\$180bo6\$183b3o\$183bo2bo\$183bo\$183bo3bo\$183bo\$184bobo5\$181b3o\$181bo2bo\$181bo\$181bo3bo\$181bo3bo\$181bo\$182bobo5\$120b2o\$121b2o\$120bo27\$60b2o\$61b2o\$60bo27\$2o\$b2o\$o8\$183b3o\$183bo2bo\$183bo\$183bo3bo\$183bo\$184bobo5\$181b3o\$181bo2bo\$181bo\$181bo3bo\$181bo3bo\$181bo\$182bobo73\$183b3o\$183bo2bo\$183bo\$183bo3bo\$183bo\$184bobo5\$181b3o\$181bo2bo\$181bo\$181bo3bo\$181bo3bo\$181bo\$182bobo73\$183b3o\$183bo2bo\$183bo\$183bo3bo\$183bo\$184bobo5\$181b3o\$181bo2bo\$181bo\$181bo3bo\$181bo3bo\$181bo\$182bobo!`

### Re: 31c/240 caterpillar working notes

Posted: January 8th, 2014, 11:49 am
Sphenocorona wrote:I think a combination of the helix and block pusher ideas could also work.

Yes, I suppose that's simpler than most of my Rube Goldbergian ideas for reflecting gliders -- at least until proven otherwise!

Sphenocorona wrote:Here is what the front of one support stream might look like (this setup would work, the question is if it can be improved):

Well, it's probably worth avoiding the HWSS, anyway. Gabriel Nivasch's Caterpillar spaceship constructs *WSSes like this:

`#C One-sided ship synthesesx = 234, y = 134, rule = B3/S234bo97bo123bo\$5bo97b2o122b2o\$3b3o96b2o122b2o3\$4bo\$5b2o\$4b2o3\$107bobo\$108b2o114b2o\$108bo114bobo\$225bo10\$105b2o\$106b2o\$105bo6\$7bo\$7b2o\$6bobo\$102b2o\$103b2o\$102bo\$bo\$b2o\$obo35\$197bobo\$198b2o\$198bo10\$210bo\$208bobo\$209b2o4\$212bo\$213bo\$211b3o10\$233bo\$231b3o\$230bo\$230b2o24\$214b2o\$215b2o\$214bo!`

So LWSS and MWSS each need four gliders synchronized in pairs, but HWSS are a good bit more difficult. A few seconds with the Seeds of Destruction game turns up an equivalent all-LWSS glider turner:

`#C sample G+2LWSS -> reflected Gx = 194, y = 284, rule = B3/S23180b2o\$181b2o\$180bo6\$183b3o\$183bo2bo\$183bo\$183bo\$184bobo3b3o\$190bo2bo\$190bo\$190bo\$191bobo13\$120b2o\$121b2o\$120bo27\$60b2o\$61b2o\$60bo27\$2o\$b2o\$o8\$183b3o\$183bo2bo\$183bo\$183bo\$184bobo3b3o\$190bo2bo\$190bo\$190bo\$191bobo81\$183b3o\$183bo2bo\$183bo\$183bo\$184bobo3b3o\$190bo2bo\$190bo\$190bo\$191bobo81\$183b3o\$183bo2bo\$183bo\$183bo\$184bobo3b3o\$190bo2bo\$190bo\$190bo\$191bobo!`

If MWSSes turn out to be more convenient (though I don't see why they would, offhand -- the LWSS's intermediate block seems easier to work with than an intermediate blinker) then pairs of glider-reflecting MWSSes are just as easy to find. No doubt an exhaustive gencols search can turn up dozens or hundreds of these things:

`#C sample G+2MWSS -> reflected Gx = 195, y = 296, rule = B3/S23180b2o\$181b2o\$180bo6\$192bo\$191b3o\$191bob2o\$192b3o\$192b3o\$192b2o10\$185bo\$184b3o\$184bob2o\$185b3o\$185b3o\$185b2o\$120b2o\$121b2o\$120bo27\$60b2o\$61b2o\$60bo27\$2o\$b2o\$o8\$192bo\$191b3o\$191bob2o\$192b3o\$192b3o\$192b2o10\$185bo\$184b3o\$184bob2o\$185b3o\$185b3o\$185b2o69\$192bo\$191b3o\$191bob2o\$192b3o\$192b3o\$192b2o10\$185bo\$184b3o\$184bob2o\$185b3o\$185b3o\$185b2o69\$192bo\$191b3o\$191bob2o\$192b3o\$192b3o\$192b2o10\$185bo\$184b3o\$184bob2o\$185b3o\$185b3o\$185b2o!`

### Re: 31c/240 caterpillar working notes

Posted: January 8th, 2014, 10:22 pm
Design I was made is like this.
`#BaseTrackx = 213, y = 1749, rule = B3/S2351\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o18\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o5\$136b3o\$136bo2bo\$135bo2b2o\$135b2o2\$139bo43b3o\$140b2o42bo\$139b2o43b3o6\$30b2o\$28b2obo\$28b2o\$30b2o\$32b2o42b3o62b2o40b2o\$77bo63b2o40b2o\$31bobo43b3o\$32bo9\$34b2o40b2o\$34b2o40b2o5\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o55b2o40b2o\$141b2o40b2o11\$34b2o40b2o\$34b2o40b2o5\$133b2o56b2o\$133b2o56b2o11\$26b2o56b2o\$26b2o56b2o!`

Now, We should come up with how to remove Useless Glider stream.
For that, I used 3 BaseTracks to remove gliders. It's not emit any gliders only shift block tracks.
`#ShiftingTrackx = 543, y = 1664, rule = B3/S23461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$519b2o\$460b2obo55b2o\$460bo2bo4b2o\$463bo4bo\$463bob3o52bo4bo\$22b2o435b3ob2o2bo47bo3bobo2bo2bo\$22b2o55bo379b3obo3bo45b2obo2bob2obo3bo\$73b2o4b5o380b2o47b2ob2o2b2o3bo2bo\$72bobo5b2o430bo3bo\$17bo4bo484b4ob5o\$15b3o3bobo51b4ob2o2bo416b3o3bo3b2o16b2o\$15b2obo2bobo2b3o43bo2b4o3b2o392b5o27b2o2bobobo10b2o2bo\$14bo2bo3b2o3bob2o47bo399b3o31bo5bo8bo3b3o\$15bo10bo3bo425b2o20bo31b2ob2o2bo7b2o4bo\$27b2obo3bo5bo407bo6bo2bo51b2o4bo6b2obob3o\$12b2o13bo3b3ob2o3bo22bo2bo382b2o4b2obo52bo2bo8b2ob2o\$11bo2bo11b4o2b2o6bo21bo3bo382b5o3bo54b3o8b2ob2o\$11b2ob2o10bo4bo31bobo384bo2bo59bo11b2o\$11bo2b3o9b6o32bo20b2o364b4obo80bobo\$12b2o2bobo7b2o3bo53b2o7b2o359bo82b2o\$16bob2o8bo2bo52bobo6bo362bo81bo\$16bobo9b3o52bo2bo3bob2o\$4bo11b2o71b2o347bo22b2o56b2o\$3bo83bo2b2o345bo23b2o56b2o\$3b3o79bobo349b3o\$86bo2\$22b2o56b2o21bo\$22b2o56b2o22b2o138b2o56b2o\$103b2o139b2o56b2o6\$469b2o40b2o\$469b2o40b2o\$247b2o\$246bo\$245bo3b3o\$30b2o40b2o171bo2b5o\$30b2o40b2o171b2o5b2o\$251b2o241bo\$245b2o246bo\$493b3o\$248bo50bo240b3o\$245b3o50b3o241bo\$47bo249bo2b2o189bo49bo\$48b2o247b3obo190b2o\$47b2o251b2o189b2o\$b2o241b2o\$2o242b2o50bo\$2bo47bo244bo\$50bobo242b3o163b2o56b2o\$50b2o409b2o56b2o2\$255bo\$256b2o\$22b2o56b2o173b2o\$22b2o56b2o4\$252b2o40b2o\$252b2o40b2o2\$469b2o40b2o\$469b2o40b2o4\$30b2o40b2o\$30b2o40b2o2\$480b3o\$482bo\$481bo3\$61b2o\$60b2o\$62bo181b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o4\$252b2o40b2o\$252b2o40b2o8\$420b3o\$422bo\$421bo3\$121b2o\$120b2o\$122bo2\$244b2o56b2o\$244b2o56b2o74bo\$377bo\$377b3o81b2o56b2o\$461b2o56b2o2\$163bo197bobo\$164b2o196b2o\$22b2o56b2o81b2o197bo\$22b2o56b2o\$180bo\$179bo\$179b3o19\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o2\$461b2o56b2o\$461b2o56b2o4\$22b2o56b2o\$22b2o56b2o22\$244b2o56b2o\$244b2o56b2o!`

Now remained problem is just building Forward/Backward Rakes.
Fortunately, there is good way to make it.
`#A Forward-Rake which made by Two Backward-Rakesx = 1734, y = 1760, rule = B3/S23448b2o56b2o\$448b2o56b2o3\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b2o56b2o\$1442b2o56b2o2\$1225b2o56b2o\$1225b2o56b2o5\$4b2o56b2o\$4b2o56b2o3\$1669b2o56b2o\$1669b2o56b2o13\$231b2o56b2o\$231b2o56b2o2\$448b2o56b2o\$448b2o56b2o934b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In addition, Here is Both Version. It produces Forward and Backward gliders
`#Forward and Backward Rakes in onex = 510, y = 1664, rule = B3/S23443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o14\$493b3o\$496bo\$493bo2bo\$494b2o\$494b2o\$493bo2bo\$493bo\$495b2o\$226b2o56b2o\$226b2o56b2o165bo\$450b3o\$449bo2b2o\$449bo3bo\$450b2obo\$441b2o9b2o49b2o\$10bo43b3o384b2o50b2o8b2o\$10bo43bo2bo435b2o\$10bo42bo3bo\$53b4o448bo\$2b2o7bo2bo39bo9b2o438b3o\$2b2o3bobo2b2o50b2o375bobo59bo3bo\$7b2o3bo428b2o65bo\$8bo433bo58bo3b2ob2o\$505b2o\$64bo436b2o6bo\$65bo373b2o66b2o\$63b3o373b2o4\$2o64b2o\$2o64b2o2\$443b2o56b2o\$443b2o56b2o3\$223b3obo56bo\$4b2o56b2o158bo3b3o56bo\$4b2o56b2o161bob3o54bo\$222b2ob2o2b2o52b3o\$222b5o3bo53b2o\$228bobo52b2ob2o\$223b2ob4o57bo\$223b2ob2o53bo3bo2bo\$224bobo8bo44bobo2b2obo\$225bo9bo43bo4bo3b2o161b2o40b2o\$235bo44bobo3b2o163b2o40b2o\$281bob2obo\$285bo2\$12b2o40b2o\$12b2o40b2o\$222b2o64b2o\$222b2o64b2o4\$489b2o\$488bobo\$393bo96bo\$226b2o56b2o107bobo\$226b2o56b2o107b2o\$17bo\$16b2o292bo132b2o56b2o\$16bobo92bobo197b2o130b2o56b2o\$112b2o196b2o\$112bo2\$4b2o56b2o131bo\$4b2o56b2o131bobo\$195b2o3\$234b2o40b2o\$234b2o40b2o12\$429b2o\$428bobo\$251bo178bo\$251bobo\$251b2o\$77bo148b2o56b2o\$76b2o148b2o56b2o\$76bobo184bobo\$264b2o177b2o56b2o\$264bo178b2o56b2o4\$4b2o56b2o\$4b2o56b2o4\$234b2o40b2o\$234b2o40b2o10\$369b2o\$368bobo\$370bo3\$137bo\$136b2o\$136bobo87b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o2\$443b2o56b2o\$443b2o56b2o4\$4b2o56b2o\$4b2o56b2o22\$226b2o56b2o\$226b2o56b2o!`

P.S. I'm not good at English. So, there can be a lot of Grammatical Errors.

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 12:32 am
kiho park wrote:Now remained problem is just building Forward/Backward Rakes.
Fortunately, there is good way to make it.
`#A Forward-Rake which made by Two Backward-Rakes...`

This looks like a great start!

The six block trails on the right don't exactly match the block trails on the left -- the mirror image is offset by six cells vertically. I think that means that a different rake will be needed to shoot forward gliders to the right (?). EDIT: I suppose the two sets of trails can be adjusted to the correct offset, by sending some number of six-Herschel rephasing pulses up the tracks on one side but not the other. So maybe six block trails is all that's needed for a complete spaceship -- is there a reason to have more?

kiho park wrote:P.S. I'm not good at English. So, there can be a lot of Grammatical Errors.

Perfectly understandable -- no problem at all. If I can do anything to make my English easier to understand, please let me know...!

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 2:18 am
Six tracks as in twelve rows of blocks, or as in six rows of blocks? Three lanes is the minimum possible to use without using an irregular (using a different lane setup or none altogether) backbone.

This is of course assuming that my hexagonal design is to be used, which at the moment appears to be the concensus. Another possible optimization to my design for any instance where the backbone is wide enough to accomodate it (which probably will not apply to this ship, but may be helpful in the future) is having forward rakes near the front of the ship providing gliders to build the tracks directly, in combination with the support streams (thus eliminating one stream for each additional rake that can be added in for this purpose.)

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 3:18 am
kiho park wrote:Now remained problem is just building Forward/Backward Rakes.
Fortunately, there is good way to make it.

As I learnt from playing around with (23,5)c/79 reactions, one should be able to run adjusters and rakes on the same track interchangeably in order to build versatile rakes, that would be useful for glider synthesis.

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 9:13 am
Sphenocorona wrote:
dvgrn wrote:So maybe six block trails is all that's needed for a complete spaceship -- is there a reason to have more?

Six tracks as in twelve rows of blocks, or as in six rows of blocks?

I incorrectly said "six block trails" when I should have said "six block-pair trails" -- twelve columns of blocks.

It's probably a good time to settle on some standard terms to avoid confusion later. What we have here is Herschel climbers on block trails, by analogy to pi climbers on blinker trails in the Caterpillar. But really the smallest clean unit in this case is a Herschel-pair (2H) climber on a block-pair (2B4) trail.

I'm not sure what a "track" would be in this context -- maybe the full set of block trails that a rephaser or rake, or the full spaceship, runs on? But probably "track" would just get confused with "trail". So I'm going to avoid using "track", at least for now.

2H climbers generally produce too many gliders, so the minimum useful unit may be kiho park's 6H rephasers. Then we have 12H forward and backward rakes. The rephasers aren't currently compatible with the rakes -- some of the block trails are shifted by 5 cells left or right. Is there a way to get clean rephasers and clean rakes running on the exact same 12 trails?

If that can be done, it becomes trivial to use rephasers to run 12H forward and backward rakes on a mirror-symmetric 12-track. Among other things, this would allow the left- and right-shooting rakes to be mirror images of each other.

If six block-pair trails turn out to be all that's needed to make a complete spaceship, then the next larger unit that needs to be constructed is a 12H LWSS or MWSS edge-shooter.

EDIT: Only a trivial change was needed to get the rephasers to work on the rake tracks. Here's a 12H forward rake followed by a sample pair of mirror-image 6H rephasers:

`x = 2665, y = 1525, rule = 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### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 11:44 am
dvgrn wrote:Is there a way to get clean rephasers and clean rakes running on the exact same 12 trails? If that can be done, it becomes trivial to use rephasers to run 12H forward and backward rakes on a mirror-symmetric 12-track. Among other things, this would allow the left- and right-shooting rakes to be mirror images of each other.

Here are left and right forward rakes running on the same mirrored 12H-track. Turns out it only takes three rephasers to adjust the track to match kiho park's forward rake (and then three more on the other track to align them again):

`x = 3099, y = 3121, rule = 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[Fair warning: the eaters along the edges in this sample pattern aren't really quite evenly spaced, so they eventually fail, starting around T=50000. Not that this really matters, of course -- the eaters are just for cleanup, not really part of the spaceship. A good way to fix that 10-cell phase shift would be to add more rephasers, to make a total of 31 Herschel climbers on each block trail.]

I haven't looked yet to see if there's a way to do the same alignment trick with fewer rephasers.

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 12:24 pm
dvgrn wrote:I haven't looked yet to see if there's a way to do the same alignment trick with fewer rephasers.

`x = 1751, y = 1800, rule = 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Moving the two sets of three block trails 120 cells closer together cures the alignment problem very nicely, so that left and right forward rakes will run on the twelve block trails, with no rephasers at all.

Rephasers will still be needed to adjust the color of output gliders, and all kinds of other things no doubt. For example, we might want to move block trails out of the way of a crossing (forward or backward) glider stream.

EDIT: In the above pattern, the last of the six block trails in left-hand track is 599 cells away from the first block trail in the right-hand track.

With this configuration, three rephasers are needed to reach a relative alignment where one of kiho park's backward rakes can send gliders through the opposite track without damage:

`x = 1642, y = 4629, rule = 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2o9\$1577b2o56b2o\$1577b2o56b2o!`

EDIT 2: Oops, I didn't try changing the alignment in the other direction, +9 instead of -9. Turns out you only need one rephaser in that direction, matching the backward rake:

`x = 1664, y = 2061, rule = 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107bo746bo10bo\$3b2o242b2o4b3o5b3o7bo30bo3bo7bo8bo3bo108b3o\$247b2ob3o2b2o4b3o41b2o7bo8b2obo1249b3o57bo\$247b2o8b2o8bo45bo10b2o6bo1243bo57b2obo\$123bobo123b3o2b2o2bo8bo34b4o6bo20b2o1239bobobo49b3o2bo3bo\$bo122b2o123bo4bo3bo7bo40bo3bo20b2o1238b3o2b2o52bo5bo\$2o38b2o40b2o40bo126bo3b3o45b4o822b2o64b2o375b2o58bobob2o\$obo37b2o40b2o221bo823b2o64b2o375b2o55bo4bobobo\$239bo1390b3obobobo\$239bobo1334bo8b3o44b2o3bo\$239b2o\$259b2o56b2o1255bo44bo\$259b2o56b2o1256bo42b3o\$1617bobobo\$476b2o56b2o597b2o56b2o424bobobo\$476b2o56b2o597b2o56b2o425b3o19b2o\$1573b2o44bo19bo3bo\$1573b2o64bo5bo\$1640b2obobo\$493bo1147bo4bo\$492bo612bo244b2o56b2o231bo4bo\$492b3o608b2o245b2o56b2o231bo4bo\$1104b2o536b3o2\$32b2o33bobo20b2o175b2o40b2o211bo1054b2o56b2o\$32b2o34b2o20b2o175b2o40b2o212b2o701bo350b2o56b2o23bo\$68bo453b2o577b2o121bobo178bo3bo248bobo\$484b2o40b2o573bobo37b2o40b2o40b2o123b2o52bo3bob2o4bo242b2o\$50bo244bo188b2o40b2o573bo39b2o40b2o165b2o52bo3bob2o5bo\$49bo245bobo1106bo2b2ob4o3bo\$49b3o243b2o1055bo40bo5b2o3bo4b2o2bo4bo129bobo\$1341b3o7bobo13bo25b2o3b3o2bo2bo7b5o129b2o\$1340bo3bo9bo10b2ob2o22bo4bo2bo2b3o8bo3bo130bo\$285bobo1053bo2bo5b2o2bo2b2o6bo31b6obo10bobo\$61bo224b2o1053bo2bo5b3ob2ob2o6bo3bo27bob5o11b2o7bo\$60b2o224bo1056bo7bo2bo11b3o24b2ob3o2b3o18bobo\$60bobo1281b2o3b2ob2o40bo2b2o24b2o\$40b2o40b2o1265b5o40b3o188b2o40b2o\$40b2o40b2o1265b3o233b2o40b2o\$1390b2o2b2o2\$1662bo\$259b2o56b2o1031b2o56b2o252b2o\$259b2o56b2o1031b2o56b2o251bobo2\$476b2o56b2o597b2o35bo20b2o\$476b2o56b2o597b2o33bobo20b2o\$1169b2o3\$1150bobo451bobo\$1150b2o452b2o\$1151bo453bo2\$1368bo244bo\$32b2o56b2o175b2o40b2o850b2o195b2o6bobo31b2o175b2o35bo20b2o\$32b2o56b2o175b2o40b2o850bobo194b2o7b2o31b2o175b2o33b3o20b2o\$1161bo\$1141b2o40b2o\$1141b2o40b2o201bobo\$1386b2o\$1387bo2\$121bo\$120b2o\$120bobo3\$1585b2o40b2o\$1585b2o40b2o\$1602bo\$1602b2o\$1601bobo\$259b2o56b2o1031b2o56b2o\$259b2o56b2o1031b2o56b2o2\$476b2o56b2o597b2o56b2o\$476b2o56b2o597b2o56b2o7\$1221b2o\$1221bobo\$32b2o56b2o1129bo136b2o40b2o175b2o56b2o\$32b2o56b2o1266b2o40b2o175b2o56b2o5\$181bo\$180b2o\$180bobo5\$1542bo\$1542b2o\$1541bobo12\$1281b2o\$1281bobo\$1281bo6\$1488bobo\$1488b2o\$1489bo2\$1484bo\$1482bobo\$1483b2o!`

So those are technically workable backward and forward rakes for these particular 599-spaced tracks. Is there an easy way to redesign the backward rake so that it shoots to the outside of its track, so that the gliders don't have to cross the other track? Or is there a track spacing that doesn't need rephasers for either the forward or backward rakes?

These tracks are wonderfully permeable. It looks like there are twelve different lanes that a backward glider can take through the block trails, as opposed to only four lanes for forward gliders.

I guess the more general question is: is there a better overall spacing? Should probably do a good survey before getting locked in to the current spacing. Measuring from one block track to the next, the full specification for the current 12-trail double track is

58 : 169 : 58 : 159 : 58 : 599 : 58 : 159 : 58 : 169 : 58

Seems to me any of these numbers could potentially be changed. All other things being equal, maybe smaller is better: what's the narrowest track that supports forward and backward rakes on both sides, with a minimum of rephasing?

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 3:23 pm
It should be possible to edge-shoot forward spaceships with slow salvos. This can actually reduce the number of required rake tracks down to two, one for each of caterpillar units.

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 3:54 pm
codeholic wrote:It should be possible to edge-shoot forward spaceships with slow salvos. This can actually reduce the number of required rake tracks down to two, one for each of caterpillar units.

A couple of days ago I looked through the known *WSS to see if any of them could be used as edge-shooters, but I didn't find anything offhand. Do you have a particular spaceship synthesis in mind, or is this something that will need a new search?

31c/240 is much slower than gliders and spaceships, so any forward *WSS output from a slow salvo will immediately pass through the space where the next *WSS in the series will be constructed, 240-62=178 ticks later. The slow salvo's final seed can't include anything that protrudes into the *WSS lane. (Or am I missing something important here?)

It's fairly straightforward to use a slow salvo to build a multi-glider seed -- for LWSSes and MWSSes they could be something along the lines of the one-sided recipes used in the Caterpillar. The seed won't be triggered until the previous *WSS is safely past, or at least well on its way, so nothing will have to be anywhere near the *WSS lane.

Is that more or less your plan, or were you thinking more along the lines of direct *WSS edge-shooter recipes?

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 4:11 pm
dvgrn wrote:The slow salvo's final seed can't include anything that protrudes into the *WSS lane. (Or am I missing something important here?)

I think, all you've said is true, except that it doesn't have to be the final seed. There may be some junk left after shooting a spaceship to be cleaned up later by gliders, unless it's on the lane.

dvgrn wrote:It's fairly straightforward to use a slow salvo to build a multi-glider seed

This is also a good option, but that will need a much longer recipe, than a direct synthesis.

Can Paul Chapman's Glue be used for finding such salvo?

EDIT: There probably must be some junk left to serve as a slow salvo target for the next synthesis. The original slow salvo target should be provided by the front pattern.

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 5:39 pm
Theoretically, even a well-known LWSS seed will work, unless one needs a tight spaceship stream.
`x = 49, y = 51, rule = B3/S2344b2o\$44b2o5\$47b2o\$47b2o\$33b2o\$33b2o10\$38b3o\$37bo2bo\$40bo\$40bo\$37bobo25\$b2o\$obo\$2bo!`

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 5:41 pm
codeholic wrote:
dvgrn wrote:The slow salvo's final seed can't include anything that protrudes into the *WSS lane. (Or am I missing something important here?)

I think, all you've said is true, except that it doesn't have to be the final seed. There may be some junk left after shooting a spaceship to be cleaned up later by gliders, unless it's on the lane.

True enough. While I was wishing, I figured I might as well wish for a clean edge-shooter recipe...!

codeholic wrote:
dvgrn wrote:It's fairly straightforward to use a slow salvo to build a multi-glider seed

...Can Paul Chapman's Glue be used for finding such salvo?

Theoretically, yes; in practice, no. Glue was written to find slow-salvo recipes for still lifes, so it automatically throws away any reactions that fail to remain within a small bounding box. This assumption is buried fairly deeply in the Smalltalk code. Glue runs on a fairly archaic version of Smalltalk, I believe, which isn't really happy with operating systems more recent than Windows 98 -- and I have not yet managed to get Paul to send me the source code anyway. At this point the executable runs only on my oldest desktop machine.

Long story short, I suspect it would be much easier to rewrite Glue from the ground up, with a wider range of search targets in mind, than to try to adapt the existing codebase to this new purpose.

codeholic wrote:EDIT: There probably must be some junk left to serve as a slow salvo target for the next synthesis. The original slow salvo target should be provided by the front pattern.

That changes my mental picture of this construction method. Let's see: one initial block (or some other "hand" target) is created by a forward/backward rake collision, on each side at the front of the ship. After that we might as well just use backward rakes to make the slow salvo. We gradually convert the target into an edge-shooting seed for the insidemost LWSS -- plus another block, out of the way of the trigger glider and a little farther away from the body of the spaceship.

When the final backward rake comes along and triggers the line of LWSS seeds, a line of LWSSes heads north, passing all the construction stages for that seed -- that's why an edge-shooter is needed.

Another line of backward rakes then converts the leftover target into the next edge-shooting backward LWSS seed, and so on. The LWSSes travel to the front of the ship, where they reflect forward-rake streams to build the block trails.

There are some significant worries with this design, though. For example, the complete seeds have to fit into a 31-cell-wide stripe. The stripe can be bent in various ways, but it can't be more than 31 cells wide because the almost-complete seeds will be stacked together in a long column before they're triggered. None of the construction reactions can create sparks that interfere with intermediate targets in neighboring stripes.

It's not clear that all this will end up being more efficient than an old-fashioned Caterpillar-esque design, with the LWSSes created more directly glider salvos constructed by expensive kickback reactions and so forth. But it certainly would be interesting to see the thing working!

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 5:46 pm
codeholic wrote:Theoretically, even a well-known LWSS seed will work, unless one needs a tight spaceship stream.

Hmm, minimum spacing 11 cells away on the left, 14 cells on the right -- to be fed by a forward rake. I'll have a quick look and see if there's a pair of LWSSes that far apart that can reflect a glider.

EDIT: This could be a little tricky, though -- two of the blocks are beyond the LWSS stream, so they'd have to get pushed there basically in between oncoming LWSSes, and with no intermediates in the LWSS lane. Not exactly a nice simple slow salvo any more.

Probably it's better to go dig up a true edge-shooting LWSS seed, not just a transparent one like this. Seems like it would also be more efficient to use a backward LWSS seed, so that the slow salvo can be fed by cheap backward rakes...?

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 5:58 pm
dvgrn wrote:We gradually convert the target into an edge-shooting seed for the insidemost LWSS -- plus another block, out of the way of the trigger glider and a little farther away from the body of the spaceship.

Exactly. Except that it doesn't have to be farther away from the body (though it's desirable), it can be closer, and thrown over the lane to the other side later.

dvgrn wrote:It's not clear that all this will end up being more efficient than an old-fashioned Caterpillar-esque design, with the LWSSes created more directly glider salvos constructed by expensive kickback reactions and so forth. But it certainly would be interesting to see the thing working!

I'm not sure about efficiency, but it would be definitely easier to build, if one just found a slow salvo recipe under those restrictions you pointed out. It gives me headache to think about all those kickback reactions and synchronization issues one would face using the traditional approach, not to mention creating and then cleaning up at least twice as much Herschel trails.

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 8:50 pm
Here is a good LWSS seed for a backrake:
`x = 193, y = 291, rule = B3/S232bo\$obo\$b2o89\$62bo\$60bobo\$61b2o89\$122bo\$120bobo64b2o2b2o\$121b2o64b2o2b2o12\$186b2o\$186b2o17\$187b2o2b2o\$187b2o2b2o12\$186b2o\$186b2o17\$187b2o2b2o\$187b2o2b2o12\$186b2o\$186b2o14\$182bo\$180bobo\$181b2o\$187b2o2b2o\$187b2o2b2o12\$186b2o\$186b2o!`

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 9:00 pm
codeholic wrote:
dvgrn wrote:We gradually convert the target into an edge-shooting seed for the insidemost LWSS -- plus another block, out of the way of the trigger glider and a little farther away from the body of the spaceship.

Exactly. Except that it doesn't have to be farther away from the body (though it's desirable), it can be closer, and thrown over the lane to the other side later.

Actually, it does not have to be thrown over, it can even be pushed, because it would not interfere with the spaceship stream, since the latter has flown ahead by this time.

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 9:02 pm
codeholic wrote:Here is a good LWSS seed for a backrake...

Nice! Here's one possible workable way to suppress the blinkers --

`x = 133, y = 200, rule = B3/S23obo\$b2o\$bo89\$60bobo\$61b2o\$61bo29\$102b2o\$102b2o23b2o2b2o\$127b2o2b2o12\$126b2o\$126b2o16\$102b2o\$102b2o23b2o2b2o\$127b2o2b2o12\$126b2o\$126b2o14\$120bobo\$121b2o\$102b2o17bo\$102b2o23b2o2b2o\$127b2o2b2o12\$126b2o\$126b2o!`

-- but maybe gencols can come up with something cleaner. There's really no particular reason why the sacrificial still life should be a block; most other common still lifes are only slightly more expensive to build than blocks, anyway.

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 9:06 pm
dvgrn wrote:Nice! Here's one possible workable way to suppress the blinkers --

It is much cheaper to clean it up with gliders afterwards than to build a clean seed with a slow salvo. (Unless you can get it almost for free.)

### Re: 31c/240 caterpillar working notes

Posted: January 9th, 2014, 11:36 pm
Have spent a little time experimenting with adjustments to the block-trail locations. There's a huge variety of possible timings and spacings for the two Herschels in each pair, as well as between the different Herschel pairs. Here's a backward rake with considerably tighter spacing. All the blocks in the trails are lined up exactly with each other -- I'm thinking this might make construction at the front end a little bit easier.

`x = 391, y = 737, rule = B3/S2321b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o30\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o28\$324bo\$74b3o246b3o52b3o\$74b3o90b2o52b2o99bo3b2o50b3o\$167b2o52b2o100b5o\$22bo46bo2bo255bo44bo2bo\$22b2o3bo41bo2b2o5b2o241b2o3bo45bo2b2o5b2o\$22bob2ob2o44bob6o241b2o2b2o49bob6o\$23b2o2b4o38bo3bo2bo2bo244b2o47bo3bo2bo2bo\$23b2obob3o38bo4b3ob2o254bo38bo4b3ob2o\$23b4o2b2o3bo36b3o3b2o255bo40b3o3b2o\$19b2ob2obob2o4bob2o297bo\$21b3o3bo4b2ob2o2bo18b3o301b3o\$12bo9b3o7b2ob2o2bo18b3o301b3o\$10b3o2b2o5b3o7bo2bo3bo19bo303bo\$9b5o5bo2b2o9b2o24bo303bo\$8b2o3bo6bo2b2o33b3o301b3o\$12bobo6bo2bo33b3o18b2o240b2o39b3o18b2o\$10b4o2b2o3bo57bobo239b2o60bobo\$11bo4bo3b2o61bobo301bobo\$17b3o60bo5bo297bo5bo\$17b3o61bo303bo\$bo\$o\$3o79bobo301bobo\$21b2o52b2o248b2o52b2o\$21b2o52b2o248b2o52b2o\$100bo\$101b2o\$100b2o3\$295bo\$295bobo\$167b2o52b2o72b2o\$167b2o52b2o3\$29b2o36b2o264b2o36b2o\$29b2o36b2o264b2o36b2o\$50b2o\$49b2o\$51bo3\$217b3o\$216bo3bo\$48bo167bo2b2o122b2o\$49b2o165b2o124bobo\$48b2o294bo\$218b2o\$217bo2bo\$43bo175b2o126bo\$43bobo125b2o174bobo\$43b2o125bobo174b2o\$169b2o\$21b2o52b2o94bo49b2o102b2o52b2o\$21b2o52b2o94bobo47b2o102b2o34bobo15b2o\$173b2o187b2o\$172b3o187bo2\$211bo\$211bobo\$211b2o6\$29b2o36b2o41b2o63b2o36b2o118b2o36b2o\$29b2o36b2o40b2o64b2o36b2o118b2o36b2o\$111bo5\$283b2o\$282bobo\$284bo9\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o12\$175b2o36b2o\$175b2o36b2o17\$21b2o52b2o90b2o52b2o102b2o52b2o\$21b2o52b2o90b2o52b2o102b2o52b2o!`

This particular spacing isn't a good idea in terms of the permeability of the block trails, though. It's better if the distance between adjacent trails is close to a multiple of 31, so that the blocks are more or less in each others' shadows. At some point I might attempt a set of forward and backward rakes with 62 cells between the pairs. This one is ten cells too narrow -- 54:92:54:104:54.

### Re: 31c/240 caterpillar working notes

Posted: January 10th, 2014, 12:11 pm
codeholic wrote:not to mention creating and then cleaning up at least twice as much Herschel trails.

Actually, four times as much for the synthesis used in the caterpillar. And probably one would need throwers and catchers in order to avoid glider stream conflicts. And coding all this stuff would require much more effort than arranging crawlers on a single track for slow salvo construction.

### Re: 31c/240 caterpillar working notes

Posted: January 10th, 2014, 12:17 pm
Dave, have you tried to feed this seed to the compiler you wrote for the replicator?