## Puffer with unstable trail (B37/S23)

For discussion of other cellular automata.

### Puffer with unstable trail (B37/S23)

Hi. I've been looking into B37/S23 and noticed this. Would this classify as a puffer despite it's trail being constantly active?

`x = 5, y = 11, rule = B37/S232b2o\$2ob2o\$o2bo\$o2bo\$b2o2\$b2o\$o2bo\$o2bo\$2ob2o\$2b2o!`
Retrodice

Posts: 2
Joined: August 17th, 2010, 7:01 pm

### Re: Puffer with unstable trail (B37/S23)

Yes, this would classify as a puffer, because the periodic part is stable.
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1768
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Puffer with unstable trail (B37/S23)

It's not hard to stabilize the end:
`x = 9, y = 10, rule = B37/S23bo5bo\$3o3b3o\$ob2ob2obo4\$4bo\$3bobo\$3bobo\$4bo!`
Ntsimp

Posts: 46
Joined: June 8th, 2010, 9:11 am

### Re: Puffer with unstable trail (B37/S23)

Thanks. Was that by trial and error or is there something here that I'm missing? If you have any links to information about how to logically go about finding a solution to problems like stabilizing a trail like this I'd love to read them.
Retrodice

Posts: 2
Joined: August 17th, 2010, 7:01 pm

### Re: Puffer with unstable trail (B37/S23)

Yeah, that was just by trial and error. I happened to find this same puffer a few weeks ago, then just played around with adding stuff behind it until I found this.
Ntsimp

Posts: 46
Joined: June 8th, 2010, 9:11 am

### An introduction to DryLife (B37/S23)

I happened to find this same puffer a few weeks ago

I discovered the twin bees puffer in DryLife (B37/S23) a year or so ago, myself.

logically go about finding a solution to problems like stabilizing a trail like this I'd love to read them.

Run the pattern until it becomes periodic, and then truncated the back (active) end of the trail to leave the clean, periodic part.

DryLife has a semi-natural 9c/28 puffer:

`x = 3, y = 11, rule = B37/S232o\$b2o\$bo6\$bo\$b2o\$2o!`

It can be used to construct 9c/28 spaceships in similar ways to how switch engines can be used to construct c/12 spaceships in ordinary Life.

In this case, I believe that p28 and p56 spaceships have been constructed using this method. Clean rakes are also quite easy to make.

Here is the p28 ship, the 'puddle jumper' (David Eppstein, 1998).

`x = 55, y = 46, rule = B37/S232b3o7b3o6b3o7b3o6b3o7b3o\$5bo5bo12bo5bo12bo5bo\$o5bo3bo5bo2bo5bo3bo5bo2bo5bo3bo5bo\$ob2o2bo3bo2b2obo2bob2o2bo3bo2b2obo2bob2o2bo3bo2b2obo\$4b3o3b3o10b3o3b3o10b3o3b3o\$2bo3bo3bo3bo6bo3bo3bo3bo6bo3bo3bo3bo\$2b3o7b3o6b3o7b3o6b3o7b3o\$2b3obo3bob3o6b3obo3bob3o6b3obo3bob3o2\$5b3ob3o12b3ob3o12b3ob3o\$5b2o3b2o12b2o3b2o12b2o3b2o5\$3b2o45b2o\$2bo2bo43bo2bo\$2bo2bo43bo2bo\$3b2o45b2o4\$11b3o5b3o11b3o5b3o\$10bo2bo5bo2bo9bo2bo5bo2bo\$3b2o5bo3bo3bo3bo9bo3bo3bo3bo5b2o\$2bo2bo4bo2bo5bo2bo9bo2bo5bo2bo4bo2bo\$2bo2bo5bobo5bobo11bobo5bobo5bo2bo\$3b2o45b2o4\$21bo2bo5bo2bo\$21bo2bo5bo2bo\$21bo3bo3bo3bo\$21bob2o5b2obo\$21bobo7bobo\$21b3o7b3o\$5bo43bo\$5bo43bo2\$22bobo5bobo\$22bo2bo3bo2bo\$23bobo3bobo\$21bo3bo3bo3bo\$21bo2bo5bo2bo\$21bo11bo!`

The p56 ship is much larger.

DryLife is on the border between Class III and Class IV. For example, this six-cell seed (stairstep hexomino) grows indefinitely:

`x = 4, y = 3, rule = B37/S232b2o\$b2o\$2o!`

There exist glider guns in DryLife. The elementary one is a p60, based on one by Jason Summers:

`x = 63, y = 65, rule = B37/S2326b2o3b2o\$25bo7bo\$21b2o5bobo\$20bo2bo2b2o3b2o\$19bobobo\$18b3obo\$18b3o2\$23b2o3b3o\$21bo3bobo3bo\$21bo3bobo3bo5b3o\$13b2o6bo3bobo3bo4b3o\$14bo7b3o3b3o\$14bobo33bo\$15b2o31b3o\$22b2o12b3o8bo\$21bob2o6bo5b3o7b2o\$21bo4bo5bo\$22b3obo3b3o11b2o9bo\$26bo18b2o7bob2o\$44bo13bo\$54bo2bobo\$10b2o3b2o39bo2bo\$9bo7bo39b2o\$12bobo\$10b2o3b2o\$59b3o\$47b3o3b3o2b3o\$46bo3bobo3bo\$3o43bo3bobo3bo\$b3o42bo3bobo3bo\$47b3o3b3o2b3o\$59b3o\$9b3o3b3o\$b3o4bo3bobo3bo20bobo\$3o5bo3bobo3bo3b2o15b2o\$8bo3bobo3bo3bobo15bo4b2o3b2o\$9b3o3b3o4bo24bobo\$3b2o39bo7bo\$2bo2bo39b2o3b2o\$2bobobo\$3bo2bo\$7bo\$4bobo2\$13b2o7b3o\$14bo8b3o2b3o3b3o\$11b3o13bo3bobo3bo8bo\$11bo15bo3bobo3bo9bo\$27bo3bobo3bo7b3o\$23b3o2b3o3b3o\$22b3o3\$41b2o\$40b3o\$39bob2o\$38bobo\$29b2o3b2o2bo2bo\$31bobo5b2o\$28bo7bo\$29b2o3b2o\$61bo\$62bo\$60b3o!`

Here is a p480 gun, again by Jason Summers:

`x = 78, y = 79, rule = B37/S234\$36bo5bo\$36b2o3b2o\$36b2o3b2o\$29b2o6bo3bo\$30bo\$30bobo\$31b2o6bo5bo5bo\$39bo5b2o2bo2bo\$39b2o3b3o2bo2bo\$50bo\$35b3o2b2ob2o\$17b2o3b2o26bo\$16bo7bo14b2o3b3o2bo2bo\$19bobo17bo5b2o2bo2bo\$17b2o3b2o15bo5bo5bo2\$48b2o\$47bo2bo\$7b3o36bobobo\$8b3o34b3obo\$17bo5bo13bo7b3o\$16b3o3b3o10bobo\$22b2ob2o9b2o23bo\$8b3o14b3o31b3o\$7b3o15b3o30bo\$58b2o\$22b3o\$10b2o4b3o3b3o41bobo\$9bo2bo4bo5bo41bo\$9bobobo52bo2bo\$10bo2bo52bobobo\$14bo41bo5bo4bo2bo\$11bobo41b3o3b3o4b2o\$55b3o\$20b2o\$21bo30b3o15b3o\$18b3o31b3o14b3o\$18bo23b2o9b2ob2o\$42bobo10b3o3b3o\$32b3o7bo13bo5bo\$30bob3o34b3o\$29bobobo36b3o\$29bo2bo\$30b2o2\$28bo5bo5bo15b2o3b2o\$27bo2bo2b2o5bo17bobo\$27bo2bo2b3o3b2o14bo7bo\$29bo26b2o3b2o\$35b2ob2o2b3o\$29bo\$27bo2bo2b3o3b2o\$27bo2bo2b2o5bo19b2o\$28bo5bo5bo18bo3bo\$49bo8bo2bo2bo\$50bo7bo2bo2bo\$38bo3bo5b3o7bo2b4o\$37b2o3b2o16bobo\$37b2o3b2o\$37bo5bo3\$46b2o\$42b2o4b4o\$42b2o2b2ob3o\$46bo4\$64bo\$65bo\$63b3o!`

This is compatible with the p32 spinner reflector:

`x = 71, y = 91, rule = B37/S2326bo\$25bob2o\$24b3ob3o\$23b5o2b2o\$25b2o3bo\$28bo6\$26bo\$26bobo\$26b2o4\$36bo\$35b2o\$18bo16bobo\$18bobo\$18b2o5\$2b3o\$bo2bo\$4b2o5bo\$ob3o7b2o\$o4bo5b2o\$bo\$2b3o\$52bo\$51b2o\$51bobo\$28bo\$21bo5bobo\$19bo7bo2bo32b2o\$19b3o5bo2bo30bo3bo\$27b3o30bo6b2o\$27b3o30bo4bo2bo\$66b3o\$57b3o\$59bo\$12bo45bo\$11bo\$11b3o\$2b3o\$2bo2bo4bo30b3o\$2b2o6bo30b3o\$5bo3bo30bo2bo5b3o\$6b2o32bo2bo7bo\$41bobo5bo\$42bo\$17bobo\$18b2o\$18bo\$66b3o\$69bo\$58b2o5bo4bo\$57b2o7b3obo\$59bo5b2o\$25bobo38bo2bo\$26b2o38b3o\$26bo4\$51b2o\$50bobo\$33bobo16bo\$34b2o\$34bo4\$43b2o\$42bobo\$44bo6\$42bo\$40bo3b2o\$39b2o2b5o\$40b3ob3o\$42b2obo\$44bo!`

DryLife doesn't support the standard spaceships, namely LWSS, MWSS and HWSS. It does, however, support the x66 bilaterally symmetric spaceship.

Can anyone make a p480 Cordergun to fire the puddle jumper?
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2052
Joined: June 1st, 2009, 4:32 pm

### Re: An introduction to DryLife (B37/S23)

Calcyman wrote:
Can anyone make a p480 Cordergun to fire the puddle jumper?

This suggestion gave me Cordership deja vu. May I suggest that anyone willing to invest their time and effort into picking up Calcymans challenge first spends a small amount of it investigating whether 10 r-pentominoes is optimal? I'm sure that I spent considerably less time and effort finding the 3-engined Cordership and then constructing a gun for it than either Dean Hickerson did when constructing the first 13-engine Cordership or Jason Summers did when constructing the first Cordership gun that fired a 7-engine Cordership. David Eppstein reduced the r-pentomino count in the B37/S23 spaceship from 16 in the p56 variant to 10 in the p28 in just 9 days and I don't think that anyone has revisited this since. If my experience with Corderships is anything to go by, there may be a much simpler 'puddle jumper' just waiting to be found.

BTW, does it really take three gliders to create a clean r-pentomino or is there a simpler way to create them in pairs?

... and in case anyone is curious, here is the p56 spaceship that Calcyman mentioned. (Dean Hickerson, 12 Oct 1998)
`#C p56, speed 9c/28 spaceshipx = 160, y = 41, rule = B37/S234b3o7b3o126b3o7b3o\$4bo2bo5bo2bo126bo2bo5bo2bo\$3bo3bo5bo3bo6b3o7b3o86b3o7b3o6bo3bo5bo3bo\$4bo2bo5bo2bo7bo2bo5bo2bo86bo2bo5bo2bo7bo2bo5bo2bo\$4bobo7bobo6bo3bo5bo3bo6b3o7b3o46b3o7b3o6bo3bo5bo3bo6bobo7bobo\$24bo2bo5bo2bo7bo2bo5bo2bo46bo2bo5bo2bo7bo2bo5bo2bo\$24bobo7bobo6bo3bo5bo3bo6b3o7b3o6b3o7b3o6bo3bo5bo3bo6bobo7bobo\$44bo2bo5bo2bo7bo2bo5bo2bo6bo2bo5bo2bo7bo2bo5bo2bo\$44bobo7bobo6bo3bo5bo3bo4bo3bo5bo3bo6bobo7bobo\$64bo2bo5bo2bo6bo2bo5bo2bo\$4b3o7b3o2b3o42bobo7bobo6bobo7bobo42b3o2b3o7b3o\$6bo7bo130bo7bo\$4bobo7bobo2bobo2b3o7b3o2b3o76b3o2b3o7b3o2bobo2bobo7bobo\$20bo5bo7bo44b2o44bo7bo5bo\$24bobo7bobo2bobo2b3o7b3o2b3o16bo2bo16b3o2b3o7b3o2bobo2bobo7bobo\$21bo18bo5bo7bo22b2o2b2o22bo7bo5bo18bo\$21bo22bobo7bobo2bobo2b3o7b2ob2o2b2ob2o7b3o2bobo2bobo7bobo22bo\$21bo19bo18bo5bo7bo3b4o3bo7bo5bo18bo19bo\$5b2o34bo22bobo7bobo6bobo7bobo22bo34b2o\$4bo2bo33bo19bo36bo19bo33bo2bo\$4bo2bo53bo36bo53bo2bo\$5b2o54bo36bo54b2o\$9bo140bo\$8b2o140b2o\$8bobo18bo100bo18bobo\$28b2o100b2o\$28bobo18bo60bo18bobo\$48b2o60b2o\$15bo32bobo58bobo32bo\$2b3o9b2o128b2o9b3o\$14bobo18bo88bo18bobo\$34b2o88b2o\$8bo25bobo86bobo25bo\$8bo142bo\$bo3bo15bo116bo15bo3bo\$3o17b2o116b2o17b3o\$7bo12bobo114bobo12bo\$5b2obo142bob2o\$3bo2bobo142bobo2bo\$bo2bo150bo2bo\$2b3o150b3o!`

Edit: I just saw what calcyman did with the topic title. I don't know how useful this is though, because the topic list and default reply subject revert to the original.
Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: An introduction to DryLife (B37/S23)

Here is a much simpler 9c/28 which evolves from just two clean r-pentominoes:
`x = 15, y = 16, rule = B37/S232bo\$b3o\$3bo2\$12bo\$11b3o\$2o9bo\$4bob2o\$o2b2o\$2bo4b3o\$2o6b2o3b2o\$2o6b2o\$10b2o2bo\$12bo\$13b2o\$13b2o!`

This certainly looks simpler to build a gun for than the puddle jumper.
Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: Puffer with unstable trail (B37/S23)

Here is a much simpler 9c/28 which evolves from just two clean r-pentominoes:

I am absolutely astonished!

Not to mention the fact that both R-pentominoes are in the same phase...

This certainly looks simpler to build a gun for than the puddle jumper.

p480 gun:

`x = 267, y = 225, rule = B37/S2314\$68b2o3b2o\$67bo7bo\$70bobo\$61b2o5b2o3b2o\$62bo111b2o3b2o\$62bobo108bo7bo\$63b2o111bobo\$82b3o89b2o3b2o5b2o\$81b3o102bo\$68bo5bo109bobo\$67b3o3b3o108b2o\$49bo5bo9b2ob2o94b3o\$49b2o3b2o8b3o14b3o81b3o\$49b2o3b2o8b3o15b3o89bo5bo\$50bo3bo118b3o3b3o\$67b3o109b2ob2o9bo5bo\$52bo14b3o3b3o4b2o83b3o14b3o8b2o3b2o\$40bo10bobo14bo5bo4bo2bo81b3o15b3o8b2o3b2o\$39bo2bo7bo3bo23bobobo111bo3bo\$39bo2bo8bobo24bo2bo97b3o\$41bo10bo24bo89b2o4b3o3b3o14bo\$78bobo85bo2bo4bo5bo14bobo10bo\$41bo10bo40bo72bobobo23bo3bo7bo2bo\$39bo2bo8bobo37b3o73bo2bo24bobo8bo2bo\$39bo2bo7bo3bo35bo80bo24bo10bo\$40bo10bobo36b2o76bobo\$52bo102bo40bo10bo\$42b2o54b2o55b3o37bobo8bo2bo\$41bo2bo21bo31b3o57bo35bo3bo7bo2bo\$41bobo21b2o9bobo19b2obo55b2o36bobo10bo\$42bob2o19bobo9b2o21bobo93bo\$43b3o31bo21bo2bo17bo28b2o54b2o\$44b2o54b2o17b2o27b3o31bo21bo2bo\$91bo26b3o26bob2o19bobo9b2o21bobo\$52b2o36bobo10bo13b2o3bo23bobo21b2o9bobo19b2obo\$53bo35bo3bo7bo2bo11b2ob2obo5bo17bo2bo21bo31b3o\$50b3o37bobo8bo2bo11b2obob2o5b2o17b2o54b2o\$50bo40bo10bo14bo3bo6b3o26bo\$63bobo51bobo2bo3bo3b2o13bo10bobo36b2o\$66bo24bo10bo12b5obo4bob2ob2o11bo2bo7bo3bo35bo\$62bo2bo24bobo8bo2bo14b2o5b2obob2o11bo2bo8bobo37b3o\$61bobobo23bo3bo7bo2bo11bobo8bo3bo14bo10bo40bo\$61bo2bo4bo5bo14bobo10bo12bobo7bo2bobo51bobo\$62b2o4b3o3b3o14bo35bob5o12bo10bo24bo\$74b3o51b2o14bo2bo8bobo24bo2bo\$89bo3bo36bobo11bo2bo7bo3bo23bobobo\$59b3o15b3o8b2o3b2o35bobo12bo10bobo14bo5bo4bo2bo\$37bo5bo16b3o14b3o8b2o3b2o25b2o35bo14b3o3b3o4b2o\$37b2o3b2o30b2ob2o9bo5bo23bo4bo48b3o\$37b2o3b2o24b3o3b3o41bo4bo31bo3bo\$30b2o6bo3bo26bo5bo42bo4bo30b2o3b2o8b3o15b3o\$31bo28b3o57b2o32b2o3b2o8b3o14b3o\$31bobo25b3o92bo5bo9b2ob2o\$32b2o18bo119b3o3b3o\$40bo5bo3bo2bo119bo5bo\$39b3o3b3o2bo2bo132b3o\$38bobobobobob2obo17b2o3b2o17bo93b3o\$37b3ob2ob2ob3o21bobo18b3o\$18b2o3b2o13bobobobobob2obo16bo7bo14bo\$17bo7bo13b3o3b3o2bo2bo15b2o3b2o16b3o4b2o\$20bobo17bo5bo3bo2bo42bo58bo17b2o3b2o\$18b2o3b2o27bo27bobo13bo57b3o18bobo\$79bo77bo14bo7bo\$49b2o23b2o2bo4bo64b2o4b3o16b2o3b2o\$48bo2bo22b2obo2bob2o68bo45bo5bo\$8b3o38bobo26b2o9b2o61bo13bobo29b2o3b2o\$9b3o25bo9b2obo38b2o78bo28b2o3b2o\$18bo5bo13bo8b3o115bo4bo2b2o24bo3bo6b2o\$18bo5bo11b3o8b2o116b2obo2bob2o35bo\$17bobo3bobo36bo95b2o9b2o37bobo\$9b3o3bo11b2o31b3o95b2o29bo18b2o\$8b3o4bobo9bobo29bo128bo2bo\$15bo43b2o127bo2bo6bo5b2o\$17bobo3bobo164bo7bo4bobo\$11b2o5bo5bo42bo129bobo5bo\$10bo2bo4bo5bo41bob2o120bo7bo18b2o3b2o\$10bobo2bo54bo117bo2bo6bo17bo7bo\$11bo54bo2bobo116bo2bo14b2o11bobo\$12b2obo41bo5bo4bo2bo117bo8bo6b2o10b2o3b2o\$14bo42bo5bo5b2o127bo6b2o12b3o\$56bobo3bobo126b2o4bobo5bo13b3o\$21b2o43bo123bo2bo4bo4b3o12bobobo\$22bo29bobo9bobo4b3o116bobo5bo18b3ob3o7b3o\$19b3o31b2o11bo3b3o118bob2o23bobobo7b3o\$19bo36bobo3bobo127b3o24b3o\$33b2o8b3o11bo5bo129b2o\$32b3o8bo13bo5bo115bo39b3o\$31bob2o9bo25b3o106b3o36bobobo7b3o\$30bobo38b3o108bo34b3ob3o7b3o\$30bo2bo147b2o35bobobo\$31b2o186b3o\$174bo45bo8b2o\$29bo27b2o3b2o108b2obo30b3o19bo2bo\$28bo2bo3bo5bo17bobo109bo22bo13bo17bo2bobo\$28bo2bo2b3o3b3o13bo7bo105bobo2bo17bo13bo22bo\$30bob2obobobobobo13b2o3b2o106bo2bo19b3o30bob2o\$32b3ob2ob2ob3o126b2o8bo45bo\$30bob2obobobobobo136b3o\$28bo2bo2b3o3b3o136bobobo35b2o\$28bo2bo3bo5bo126b3o7b3ob3o34bo\$29bo31b3o105b3o7bobobo36b3o\$50bo9bo2b2o115b3o39bo\$48bobo8bo5bo141b2o\$39bo3bo5b2o9bob3o115b3o24b3o\$38b2o3b2o16b3o105b3o7bobobo23b2obo\$38b2o3b2o123b3o7b3ob3o18bo5bobo\$38bo5bo134bobobo12b3o4bo4bo2bo\$180b3o13bo5bobo4b2o\$180b3o12b2o6bo\$47b2o129b2o3b2o10b2o6bo8bo\$43b2o2b2o2b2o127bobo11b2o14bo2bo\$43bobo2bo2b2o124bo7bo17bo6bo2bo\$44b3o131b2o3b2o18bo7bo\$45b2o149bo5bobo\$196bobo4bo7bo\$196b2o5bo6bo2bo\$65bo110bo33bo2bo\$63bobo109bobo34bo\$64b2o108bo3bo\$174bo2b2o\$174b2ob2o19bo3bo\$175bobo19b2o3b2o\$176bo20b2o3b2o\$197bo5bo2\$47b2o3b2o\$46bo7bo138b2o\$42b2o5bobo137b2o2b2o2b2o\$41bo2bo2b2o3b2o135b2o2bo2bobo\$42bobo25bo124b3o\$40b2obo26b2o123b2o\$40b3o7bo18b4o\$40b2o8bo18b3obo\$49bobo18bobo\$53bo14bo2b2o\$51bobo4b3o10bo\$34b2o17bo3b3o9b3o\$35bo13bobo18bo134b2o3b2o\$35bobo5bobo4bo153bo7bo\$36b2o5bo6bo156bobo5b2o\$42b3o12b3o145b2o3b2o2bo2bo\$40b5o13b3o104b2o47bobo\$41bob3o118b2o49bob2o\$41b2ob2o8bo111bo49b3o\$42b3o7bobo15b2o139bo5b2o\$19bo5bo17b2o8b2o16b2o118bo18b3o\$19b2o3b2o44bo4b2o113bobo16bobobo\$19b2o3b2o3b2o43bo2bo11b3o98bo2bo4b3o7b3ob3o\$20bo3bo3bo2bo42bo13b3obo97bo2bo5b3o7bobobo9b2o\$28bobobo41bo12bo5bo96b3o17b3o10bo\$29bo2bo41bob2o10b2o2bo75b3o19b3o28bobo\$33bo42b2o11b3o70bo4bo2bo39b3o8b2o\$30bobo129bo6b2o28b3o7bobobo\$70bo92bo3bo30b3o7b3ob3o\$13bo44bo5bo3bo2bo3b2o88b2o42bobobo\$12bo2bo3bo5bo31b3o3b3o2bo2bo3b2o133b3o\$12bo2bo2b3o3b3o9bo19bobobobobob2obo141bo\$14bob2obobobobobo8b2o8bobo6b3ob2ob2ob3o165bo5bo\$16b3ob2ob2ob3o6bobo8b2o8bobobobobob2obo112b2o28bo20b2o3b2o\$14bob2obobobobobo19bo9b3o3b3o2bo2bo110b2o27b2o15b2o3b2o3b2o\$12bo2bo2b3o3b3o31bo5bo3bo2bo139bobo13bo2bo3bo3bo\$12bo2bo3bo5bo44bo121b2o32bobobo\$13bo169b2o6b2o33bo2bo6bo\$51bobo127bob2o8bo31bo10bo\$50bo130bo23bobo18bobo6bobo\$17b2o32bo2bo126bo6bo17b2o28bo\$18bo32bobobo125bo2bo2bo2bo15bo29bo8bo\$15b3o34bo2bo3bo3bo118b2o3bo2bo6bo45bo2bo\$15bo37b2o3b2o3b2o124bo7bo38bo6bo2bo\$58b2o3b2o131bobo37bo7bo\$29b2o8b2o17bo5bo124bo7bo37bobo\$29bobo7b3o145bo2bo6bo38bo7bo\$29bo8b2ob2o144bo2bo45bo6bo2bo\$38b3obo145bo8bo29bo15bo2bo\$23b3o13b5o153bo28b2o17bo\$24b3o12b3o154bobo6bobo18bobo\$33bo6bo5b2o149bo10bo\$33bo4bobo5bobo148bo6bo2bo32b2o\$32bobo13bo154bobobo32bo\$24b3o3bo17b2o145bo3bo3bo2bo13bobo18b3o\$23b3o4bobo161b2o3b2o3b2o15b2o20bo\$30bo163b2o3b2o20bo\$32bobo159bo5bo\$33bo8b2o178bo\$33bo7b3o177b3o\$40bob2o176bobobo\$39bobo177b3ob3o7b3o\$30b2o3b2o2bo2bo177bobobo7b3o\$32bobo5b2o169b2o8b3o\$29bo7bo172bobo\$30b2o3b2o173bo10b3o\$209b2o9bobobo7b3o\$219b3ob3o7b3o\$220bobobo\$221b3o\$215b2o5bo\$215b3o\$215b2obo\$217bobo\$216bo2bo2b2o3b2o\$217b2o5bobo\$221bo7bo\$222b2o3b2o!`
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2052
Joined: June 1st, 2009, 4:32 pm

### Re: Puffer with unstable trail (B37/S23)

It can be interleaved with itself to make a p240 pseudogun:

`x = 239, y = 406, rule = B37/S23112bo\$111b2o\$110b3o\$109b2o3bo\$108b2ob2obo5bo\$60b2o3b2o41b2obob2o5b2o\$59bo7bo41bo3bo6b3o\$62bobo44bobo2bo3bo3b2o\$53b2o5b2o3b2o40b5obo4bob2ob2o\$54bo56b2o5b2obob2o41b2o3b2o\$54bobo51bobo8bo3bo41bo7bo\$55b2o51bobo7bo2bobo44bobo\$74b3o42bob5o40b2o3b2o5b2o\$73b3o44b2o56bo\$122bobo51bobo\$122bobo51b2o\$41bo5bo11b3o3b3o44b2o42b3o\$41b2o3b2o10bo3bobo3bo4b3o34bo4bo41b3o\$41b2o3b2o5b2o3bo3bobo3bo5b3o33bo4bo\$42bo3bo5bobo3bo3bobo3bo41bo4bo\$54bo4b3o3b3o44b2o51b3o3b3o11bo5bo\$72b2o83b3o4bo3bobo3bo10b2o3b2o\$32bo38bo2bo81b3o5bo3bobo3bo3b2o5b2o3b2o\$31bo2bo2bo5b3o24bobobo89bo3bobo3bo3bobo5bo3bo\$31bo2bo35bo2bo91b3o3b3o4bo\$33bo10bo24bo89b2o\$46b3o21bobo85bo2bo38bo\$33bo10bo40bo72bobobo24b3o5bo2bo2bo\$31bo2bo48b3o73bo2bo35bo2bo\$31bo2bo2bo5b3o36bo80bo24bo10bo\$32bo49b2o76bobo21b3o\$147bo40bo10bo\$34b2o30bobo21b2o55b3o48bo2bo\$33bo2bo30b2o21b3o57bo36b3o5bo2bo2bo\$33bobo31bo22b2obo55b2o49bo\$34bob2o22bo31bobo\$35b3o21b2o30bo2bo46b2o21bobo30b2o\$36b2o21bobo30b2o46b3o21b2o30bo2bo\$139bob2o22bo31bobo\$44b2o49bo42bobo31bo22b2obo\$45bo36b3o5bo2bo2bo41bo2bo30b2o21b3o\$42b3o48bo2bo42b2o30bobo21b2o\$42bo40bo10bo\$55bobo21b3o55bo49b2o\$58bo24bo10bo41bo2bo2bo5b3o36bo\$54bo2bo35bo2bo39bo2bo48b3o\$53bobobo24b3o5bo2bo2bo41bo10bo40bo\$53bo2bo38bo55b3o21bobo\$54b2o82bo10bo24bo\$60b3o3b3o4bo62bo2bo35bo2bo\$59bo3bobo3bo3bobo5bo3bo50bo2bo2bo5b3o24bobobo\$51b3o5bo3bobo3bo3b2o5b2o3b2o50bo38bo2bo\$29bo5bo16b3o4bo3bobo3bo10b2o3b2o90b2o\$29b2o3b2o24b3o3b3o11bo5bo72bo4b3o3b3o\$29b2o3b2o111bo3bo5bobo3bo3bobo3bo\$22b2o6bo3bo111b2o3b2o5b2o3bo3bobo3bo5b3o\$23bo28b3o91b2o3b2o10bo3bobo3bo4b3o\$23bobo25b3o92bo5bo11b3o3b3o\$24b2o18bo\$42bo2bo\$42bo2bo132b3o\$32bo5bo4bo17b2o3b2o17bo93b3o\$31b2o5b2o23bobo18b3o\$10b2o3b2o15bo5bo4bo16bo7bo14bo\$9bo7bo24bo2bo15b2o3b2o16b3o4b2o\$12bobo27bo2bo42bo58bo17b2o3b2o\$10b2o3b2o27bo27bobo13bo57b3o18bobo\$71bo77bo14bo7bo\$41b2o23b2o2bo4bo64b2o4b3o16b2o3b2o\$26bo13bo2bo22b2obo2bob2o68bo45bo5bo\$3o25bo12bobo26b2o72bo13bobo29b2o3b2o\$b3o22b3o10b2obo118bo28b2o3b2o\$39b3o115bo4bo2b2o24bo3bo6b2o\$39b2o116b2obo2bob2o35bo\$10bo5bo37bo106b2o37bobo\$b3o5bobo3bobo34b3o126bo18b2o\$3o5bo3bobo3bo32bo128bo2bo\$9bobo3bobo4b3o26b2o127bo2bo\$10bo5bo5bo159bo7bo5bo\$3b2o18bo35bo51b2o77bo5bo\$2bo2bo52bob2o48bobo69bo7b2o3b2o12b2o3b2o\$2bobo2bo54bo47bo2bo66bo2bo16bobo5bo7bo\$3bo54bo2bobo47b2o67bo2bo2b3o2b2ob2o2b2ob2o8bobo\$4b2obo52bo2bo48bo7b2o59bo19bobo5b2o3b2o\$6bo35bo18b2o57bobo67b2o3b2o\$43bo5bo5bo63bo2bo60b2o5bo5bo\$13b2o26b3o4bobo3bobo63b2o60bo2bo4bo5bo15bo\$14bo32bo3bobo3bo5b3o54bo61bobo26b3o9b3o\$11b3o34bobo3bobo5b3o44bo6bo66bob2o35b3o\$11bo37bo5bo52bobo3bob2o66b3o\$25b2o80b3ob6o3bo64b2o\$24b3o81bo2b2o6bob2o48bo\$23bob2o10b3o22b3o44b3o6b2ob3o47b3o48b3o\$22bobo12bo25b3o53bo3b2o49bo36b3o9b3o\$22bo2bo13bo79b2obo2bo47b2o37bo\$23b2o95bo3bo\$121b3o42bo21bo32b2o\$21bo27b2o3b2o108b2obo19bo32bo2bo\$20bo2bo27bobo109bo23b3o28bo2bobo\$20bo2bo24bo7bo105bobo2bo28b3o23bo\$22bo4bo5bo15b2o3b2o106bo2bo32bo19bob2o\$26b2o5b2o128b2o32bo21bo\$22bo4bo5bo\$20bo2bo149bo37b2o\$20bo2bo16bo119b3o9b3o36bo\$21bo16bobo12b3o105b3o48b3o\$39b2o11bo2b2o157bo\$51bo5bo141b2o\$31bo3bo16bob3o142b3o\$30b2o3b2o16b3o105b3o35b2obo\$30b2o3b2o123b3o9b3o26bobo\$30bo5bo136bo15bo5bo4bo2bo\$189bo5bo5b2o\$189b2o3b2o\$39b2o129b2o3b2o5bobo19bo\$35b2o2b2o2b2o127bobo8b2ob2o2b2ob2o2b3o2bo2bo\$35bobo2bo2b2o124bo7bo5bobo16bo2bo\$36b3o131b2o3b2o12b2o3b2o7bo\$37b2o150bo5bo\$189bo5bo7bo\$202bo2bo\$168bo33bo2bo\$167bobo34bo\$166bo3bo\$166bo2b2o\$166b2ob2o19bo3bo\$167bobo19b2o3b2o\$168bo20b2o3b2o\$189bo5bo2\$39b2o3b2o\$38bo7bo138b2o\$34b2o5bobo137b2o2b2o2b2o\$33bo2bo2b2o3b2o135b2o2bo2bobo\$34bobo25bo124b3o\$32b2obo26b2o123b2o\$32b3o26b4o\$32b2o27b3obo\$36bo5bo19bobo\$35bobo3bobo16bo2b2o\$34bo3bobo3bo5b3o10bo\$26b2o7bobo3bobo5b3o9b3o\$27bo8bo5bo19bo134b2o3b2o\$27bobo166bo7bo\$28b2o39b2o128bobo5b2o\$49b3o17b2o126b2o3b2o2bo2bo\$34b3o7bo5b3o153bobo\$34b3obo3bobo162bob2o\$38b3o2b2o163b3o\$209b2o\$11bo5bo165bo\$11b2o3b2o42b2o5b2o113bobo18bo\$11b2o3b2o3b2o38b2o3bo2bo11b3o98bo2bo4b3o9b3o\$12bo3bo3bo2bo36bo5bo13b3obo97bo2bo5b3o21b2o\$20bobobo41bo12bo5bo96b3o30bo\$21bo2bo41bob2o10b2o2bo26b3o46b3o19b3o28bobo\$25bo42b2o11b3o27b3o40bo4bo2bo9b2o39b2o\$22bobo85bo3bo39bo6b2o9b2o17b3o\$62bo47b3ob2o39bo3bo30b3o9b3o\$5bo54bo2bo3b2o45b2o3b3o35b2o44bo\$4bo2bo32bobo17bo2bo3b2o40bobob2o4b3o\$4bo2bo32b2o8bo5bo4bo46b2o3bo4bo3bo\$6bo4bo5bo23bo7b2o5b2o50bo2b2o4b2ob3o102bo5bo\$10b2o5b2o7bo23bo5bo4bo47b3o5b2o55b2o49b2o3b2o\$6bo4bo5bo8b2o32bo2bo54b2obobo50b2o44b2o3b2o3b2o\$4bo2bo17bobo32bo2bo55bo3b2o81bo12bo2bo3bo3bo\$4bo2bo54bo57b2o2bo80b2o11bobobo\$5bo115b3o51b2o18bo9bobo10bo2bo\$43bobo127bob2o9b2o6bobo20bo10bo\$42bo70bo59bo11b2o10bo20bobo7bo\$9b2o32bo2bo65bobo58bo6bo6bo6bo2bo29b2o\$10bo32bobobo63bo61bo2bo2bo2bo10b2ob2o39bo\$7b3o34bo2bo3bo3bo56bo61b2o3bo2bo10b2ob2o22bo2b2ob2o2b3o2bo2bo\$7bo37b2o3b2o3b2o56b2o66bo7bo3b5o37bo2bo\$50b2o3b2o132bo4bobo25b2o3b2o7bo\$50bo5bo124bo7b2o3b2o25bobo4bo\$179bo2bo37b5o3bo7bo\$23b2o2b3o149bo2bo2b3o2b2ob2o2bo22b2ob2o10bo2bo\$23bobo3bob3o146bo39b2ob2o10bo2bo\$15b3o5bo7b3o155b2o2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What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2052
Joined: June 1st, 2009, 4:32 pm

### Re: Puffer with unstable trail (B37/S23)

Calcyman wrote:
I am absolutely astonished!

I was a trifle surprised myself - and it took less than a couple of minutes to find using gencols (modified to handle other CA rules) and a puffer filter program I threw together a few years back.

Nice gun - I was working on a reaction between a single gliders and two block+blinker constellations. Using beehives makes it much simpler.

Next challenge: making a rake that fires the two-engine 9c/28, or the puffer. The latter would demonstrate quadratic growth.
Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: Puffer with unstable trail (B37/S23)

Next challenge: making a rake that fires the two-engine 9c/28, or the puffer. The latter would demonstrate quadratic growth.

There's an intermediate stage: create a clean 9c/28 rake. The best I can manage is this p56 8-engine abomination:

`x = 102, y = 45, rule = B37/S2337b3o\$40bo\$35bo5bo45b3o\$35bob2o2bo6bo9bo27bo\$29b3o7b3o5b3o7b3o25bo5bo\$28bo8bo3bo4bo2b2o5b2o2bo7bo9bo6bo2b2obo\$27bo5bo3b3o6b4o7b4o6b3o7b3o5b3o7b3o\$27bo2b2obo3b3ob3o5bobo3bobo8bo2b2o5b2o2bo4bo3bo8bo\$27b3o12bo6bo2bobo2bo8b4o7b4o6b3o3bo5bo\$27bo3bo8b3o6bo2bobo2bo11bobo3bobo5b3ob3o3bob2o2bo\$29b3o8b2o8b2o3b2o12bo2bobo2bo6bo12b3o\$25b3ob3o37bo2bobo2bo6b3o8bo3bo\$26bo43b2o3b2o8b2o8b3o\$26b3o19bo46b3ob3o\$27b2o18bobo50bo\$37b2o7b2o9b2o4b2o13bo19b3o\$36bo2bo6b2o10b2o2bo3b2o9bobo18b2o\$35b6o5b3o7bo6bo2b4o9b2o7b2o\$36bo2bo6b3o7bo6bobo2b2o9b2o6bo2bo\$37b2o8bo2bo9bo4b2o3bo7b3o5b6o\$48b2o7bobo2b2o2b3obo7b3o6bo2bo\$64bob4o6bo2bo8b2o\$68bo8b2o4\$56b3o\$56bo\$57bo2\$42b3o\$42bo\$43bo2\$28b3o\$28bo\$29bo2\$14b3o\$14bo\$15bo2\$3o\$o\$bo!`

It should be possible to assemble a few of these rakes to construct your breeder.

I might be able to prove the rule Turing-complete soon. With an extensible relay loop (such as the caber tosser in Life), and guns and logic gates and so forth, it is possible to emulate a cyclic Post-Tag system. You may recognise cyclic Post-Tag systems from the infamous Rule 110 proof.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2052
Joined: June 1st, 2009, 4:32 pm

### Re: Puffer with unstable trail (B37/S23)

Calcyman wrote:
There's an intermediate stage: create a clean 9c/28 rake

(for which Calcyman provided an example)
Um, thanks. Maybe. I have an observation and a question.

The observation: p56 may be a tad too quick to construct a puffer. Remember that you had 480 generations for your gun to construct that spaceship and similar time constraints apply to rakes. 56 generations may not be enough. But then, I haven't actually tried implementing a rake for the p28 spaceship rake or puffer using this yet, so perhaps I'm worrying too much.

More important to me is the question: why did you assume that the rake had to operate at 9c/28? I didn't specify that when I described the challenge and given the existence of spaceships in this rule at what I would consider to be more tractable velocities it seems to me more likely that these will yield suitably high period clean rakes.

I wish you the best of luck with the Turing-completeness proof. Whilst those kind of results interest me, I've always been more comfortable sitting back and watching while others handle the tricky details.

(BTW: have you noticed that the subject line has reverted to the OPs original? It's a bit of a chore trying to identify this as a slightly different thread)
Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: Puffer with unstable trail (B37/S23)

p56 is plenty slow for a backrake:
`x = 173, y = 116, rule = B37/S2354bo9bo\$53b3o7b3o\$34bo9bo7b2o2bo5bo2b2o6b3o\$33b3o7b3o27bo2bo\$23b3o6b2o2bo5bo2b2o9b2o3b2o10bob2o\$22bo2bo30b2o3b2o8b2o21bo\$22b2obo10b2o3b2o13b2o3b2o8b2o8b3o9b3o\$26b2o8b2o3b2o27bo2bo6bo2bo8b2o2bo\$15b3o8b2o8b2o3b2o28b2o7b2obo9b4o\$15bo2bo6bo2bo55b2o5bobo8bo\$15bob2o7b2o56b2o4bo2bo7b3o\$13b2o49b2o17bo2bo3bo2bo6bo2b2o\$13b2o33b3o2b3o7bo3bo16b2o5b2o7b4o\$12bo2bo17b2o12bo8bo5bo40bobo\$13b2o16bo3bo7b4o9bo5bo4bo35bo2bo\$36bo5bo2b2o5b4o6bo3bo8b2o26bo2bo\$31bo4bo5bo2b2ob3o12bobo11bo5bo20b2o\$22b2o8bo3bo6b2o20bo8bo2bo4bo2bo2b2o\$21bo11bobo38bobo5bo3b4o\$21bo2bo8bo48bo3bo8bo\$22bobo58bo3b2obo4b3o\$15bo67b3ob3o2bo2bobo\$13bobo38b2o29b2o3b3o3bo\$13bobo37bobo35bo12bo\$55bo46b2o2\$68b2o\$67bobo\$69bo88bo\$157b3o\$24bo57b2o34b2o7b2o27bo2b2o\$23b3o55bobo7b2o24b2obo5bob2o\$22bo3bo27bo9bo18bo6bo2bo13b3o7bo2bo5bo2bo8b2o7b2o6b2o9bo\$22bob2o27b3o7b3o25b2o14bo2bo6b3o7b3o7b2obo5bob2o5b2o8b3o\$16bo5bo2bo8bo9bo8bob2o5b2obo7b3o30bo3bo7b2o7b2o8bo2bo5bo2bo5b2o7b2o2bo\$15b3o4b2ob2o6b3o7b3o10bo5bo9bo2bo31bo2bo26b3o7b3o\$14bo3bo6bob2o4bob2o5b2obo10b3ob3o9bo2bo23b3o5bobo28b2o7b2o19b2o\$15b2obo5b2o2bo7bo5bo55bo2bo66b2o\$15bo2bo7b2o8b3ob3o28b2o8b3o14bo3bo65b2o\$14b2ob2o52bo9bo2bo13bo2bo46bo\$12b2obo65bo2bo14bobo2bo13bo9bo4bo13b2o\$12bo2b2o86b3o3b2o2b2o2b3o7b3o2b3o14bo8bobo\$13b2o69b2o16bo3b2ob2obobo2b2o9b2o2b3o3bo9bobo7b3o\$33b3o13bo4b2o7bo21bo14b2ob2obo2bo3b2o22b3o8b2o5bo3b2o\$33b3o12bobo2bo2bo5bob4o30b2o4b4ob2obo24b2o9bo5b2o3b2o\$22b3o18b2o2bo3bobo2bo5bo5bobo4bo20b2o2b3o6b3o42b2o11bo\$23b2o17bo2bo2bobo3b2o7b2o11bo18b2o2bo2bo7b2o21b3o31b3o\$21bob2o9b2o6bo2bo3bo14b3o8bo5bo13b2o2bobo66b2o\$22bo11b2o7b2o25bo4bo20b2o3bo\$34b2o35bo3bo8b2o5b2o4b4o\$70bo5bo5bo7bo2bo3b3o\$84b2o5b2o\$84bo\$121b3o\$53b3o65bo\$56bo65bo\$53bo\$57bo49b3o\$56bo10b3o37bo\$13b2o54bo38bo\$12bo2bo27bo9bo14bo\$12b2o2bo25b3o7b3o38b3o\$17bo5bo9bo7bo3bo5bo3bo6b3o28bo\$4b2o4b2ob2o7b3o7b3o6bob2o7b2obo6b3o15b2o12bo63b2o\$3bo2bo4bo2bo6bo3bo5bo3bo5bo2bo7bo2bo5bo3bo13bo2bo36bo9bo27bo2bo\$2bo2b2o5bo3bo4bob2o7b2obo5b2ob2o5b2ob2o5b3ob2o13b2o36b3o7b3o25bo2b2o\$bo9b2obo6bo2bo7bo2bo8bob2ob2obo12b2o3b3o35b3o6bo3bo5bo3bo7bo9bo5bo\$4b2ob2o3bo3b2o3b2ob2o5b2ob2o7b2o2bobo2b2o6bobob2o4b3o18b2o15b3o6bob2o7b2obo6b3o7b3o7b2ob2o4b2o\$4bo2bo5bo4bo5bob2ob2obo12b2o3b2o7b2o3bo4bo3bo16bo2bo13bo3bo5bo2bo7bo2bo5bo3bo5bo3bo6bo2bo4bo2bo\$2bo3bo8bo7b2o2bobo2b2o25bo2b2o4b2ob3o17b2o13b2ob3o5b2ob2o5b2ob2o5bob2o7b2obo4bo3bo5b2o2bo\$4bob2o17b2o3b2o28b3o5b2o30b3o3b2o12bob2ob2obo8bo2bo7bo2bo6bob2o9bo\$b2o3bo62b2obobo25b3o4b2obobo6b2o2bobo2b2o7b2ob2o5b2ob2o3b2o3bo3b2ob2o\$o4bo37bo26bo3b2o23bo3bo4bo3b2o7b2o3b2o12bob2ob2obo5bo4bo5bo2bo\$3bo18bo13b3o3bobo7b2o17b2o2bo23b3ob2o4b2o2bo25b2o2bobo2b2o7bo8bo3bo\$22bo12bo3bo2bo7bo2bo18b3o28b2o5b3o28b2o3b2o17b2obo\$21bo17bo3bo5bo48bobob2o62bo3b2o\$11bo2bo16b2o2b2o12bo2bo44b2o3bo26bo37bo4bo\$9b3o2b3o13b3o3bob2o10bo13b2o31bo2b2o17b2o7bobo3b3o13bo18bo\$11bo2bo20bo27bo34b3o18bo2bo7bo2bo3bo12bo\$23b2o7bo3bobo23bo60bo5bo3bo17bo\$63bobo54bo2bo12b2o2b2o16bo2bo\$64bo15b2o25b2o13bo10b2obo3b3o13b3o2b3o\$79bo2bo26bo27bo20bo2bo\$44b2o34b2o28bo23bobo3bo7b2o\$43bobo61bobo\$45bo45b2o15bo\$90bo2bo\$58b2o31b2o34b2o\$57bobo67bobo\$59bo67bo2\$72b2o39b2o\$71bobo39bobo\$73bo39bo2\$99b2o\$99bobo\$99bo3\$79b2o\$79b2o\$81bo\$79bo2b2o\$84b2o6b2o\$79b2o3b2o6b2o\$84b3o4bo\$89b2o2bo\$86b2obo\$82bo9b2o\$80b3o\$81bo2\$90bo\$90b3o\$91bo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1473
Joined: July 9th, 2009, 2:44 pm

### Re: Puffer with unstable trail (B37/S23)

p56 may be a tad too quick to construct a puffer.

Agreed. That only leaves 18 cells between adjacent puffers. However, it does have the nice side-effect of the ponds being spaced equidistantly in both directions (resembling Gaussian integers with positive real and imaginary parts).

By the way, I used p480 not because the spacing was necessary, but because I needed the p32 spinner technology to insert gliders on close lanes.

However, if you can construct a c/2 spaceship (e.g. x66), you can fire it at the exhaust of the p56 rake and rephase it by 28 generations. Then, that could be utilised as a memory bit, and thus a period-doubler. (Alternatively, you could construct and annihilate a 2-engine ship parallel to the rake.)

Another possibility for a breeder would be a gun for the 8-engine rake.

why did you assume that the rake had to operate at 9c/28?

I don't think that there are any known rakes or [clean!] puffers of different velocities. Of course, I would be pleased to be proven wrong, and considering your success in B36/S125, there should be some c/2 rakes out there.

But beware -- you no longer have *WSSes. In fact, that is the etymology of this rule: I named it 'DryLife' as it doesn't support 'fish' (*WSSes) and it rhymes with the related HighLife (B36/S23).

What you may have overlooked is the fact that the 2-engine puffer is an inside-out 2-engine spaceship, and my 6-glider synthesis doesn't work so easily. Here is a puffer that is easier to synthesise, requiring 12 gliders:

`x = 55, y = 53, rule = B37/S2354bo\$52b2o\$53b2o15\$34bo\$33bobo\$33bobo\$34bo8\$30bo\$29bobo\$29bobo\$30bo5\$6b3o\$5bob2o\$4b2o2bob3o\$5b3o2bo2bo\$5b2obo5bo\$7b2o4bo\$7bo3b2o\$8bo2bo2\$4bo2bo\$3bo3b2o40b2o\$3b2o4bo38b2o\$b2obo5bo39bo\$b3o2bo2bo\$2o2bob3o\$bob2o\$2b3o!`

p56 is plenty slow for a backrake:

Thanks. The incremental synthesis reminds me of the Gosperian breeder.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2052
Joined: June 1st, 2009, 4:32 pm

### Re: Puffer with unstable trail (B37/S23)

Calcyman wrote:
Another possibility for a breeder would be a gun for the 8-engine rake.

I did consider that, but had another project in mind...

and:
there should be some c/2 rakes out there.

Indeed (Although this needs thinning out to be useful in making a breeder.)
`x = 35, y = 64, rule = B37/S237\$11bo4bo4bo\$10b3ob2ob2ob3o\$9b4o7b4o\$8b2o2b2obobob2o2b2o\$9bo13bo\$8b2o13b2o\$6b2obobo9bobob2o\$7bobob2o7b2obobo\$5b2o2bobobo5bobobo2b2o\$4bo2bobobob2o3b2obobobo2bo\$4bo4bobo3bobo3bobo4bo\$5b3obobobobobobobobob3o\$4b2obobobobobobobobobobob2o\$7bobobob7obobobo\$7bobobobobobobobobobo\$6b2obobob2o3b2obobob2o\$7b5obobobobob5o\$7bo2b2obobobobob2o2bo\$13bobobobo\$13bobobobo\$15bobo\$11bo3bobo3bo\$11b2o2bobo2b2o\$12bo2bobo2bo\$13b2o3b2o7\$11bo9bo\$10bo11bo\$10b3o7b3o7\$8bo15bo\$7bo17bo\$7b3o13b3o7\$5bo21bo\$4bo23bo\$4b3o19b3o!`
Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: Puffer with unstable trail (B37/S23)

Paul Tooke wrote:it took less than a couple of minutes to find using gencols (modified to handle other CA rules)

Have you released this source code anywhere? Would you be willing?
Ntsimp

Posts: 46
Joined: June 8th, 2010, 9:11 am

### Re: Puffer with unstable trail (B37/S23)

Have you released this [modified gencols] source code anywhere? Would you be willing?

I'm usually reluctant to unleash my code onto an unsuspecting public, but in this case my contribution is so minor I'll give it some thought. Look for something appearing in the Scripts forum over the next day or so (it's off-topic here, and guess how much documentation I produced). I'll post something, even if it's just an explanation of how I changed the code. It's really not hard and you don't need to be a C expert.
Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: Puffer with unstable trail (B37/S23)

I wrote:
Next challenge: making a rake that fires the two-engine 9c/28, or the puffer. The latter would demonstrate quadratic growth.

I set out to do this using p2-based c/2 technology. This rule is very similar to Life and many Life patterns also work in Drylife. Having found several puffers and high period spaceships in Life, I felt it reasonable to expect to find some in Drylife.
I did. A few puffer searches at c/2, and one at 2c/4 came up with several puffers and higher period spaceships. Here are the spaceships and the cleaner puffers:
`x = 2058, y = 196, rule = 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Several puffers like the p56 in the collection above consisted of two copies of the same puffing engine arranged symmetrically. Different spacing between the engines leads to different periods. Here are some with the engines isolated. These are very messy and their exact period is debatable because for some, their trail appears to never settle down:
`x = 246, y = 30, rule = B37/S23148b3o2b3o2b3o\$obobobo23bo39bo13bo28bo4bobobobo22bo3bob3obo3bo22bobobobo4bo5bo20b3o15b3o\$29b3o37b3o11b3o60bo6bobo6bo59bo2bo13bo2bo\$o5bo20b2obob2o33b2ob3o9b3ob2o25bo4bo27bo3b2o5b2o3bo21bo10bo5bo24bo4b3o4bo\$26bo2bobo2bo33bo2bob2o5b2obo2bo61bo11bo60b2o3bo3bo3bo3bo3b2o\$o5bo18bo3bobo3bo29b2obo4bobo3bobo4bob2o23bo4bo26bobo13bobo20bo10bo5bo19b5o3bo5bo3b5o\$25bo3bobo3bo29b2obobo2bob2ob2obo2bobob2o54b2obob2o7b2obob2o55b2o2bo2b3o5b3o2bo2b2o\$obobobo20bo5bo31bo8bobobobo8bo23bo4bobobobo18bobobob2o7b2obobobo18bobobobo4bobobobo23bo3bob3obo3bo\$26bobo3bobo29b2o7b2obobob2o7b2o51b2ob6o6bobobobob2o57bo2bobobobobobo2bo\$o5bo69bobo34bo4bo5bo16bo3bobo2b2o5bo3bob2o2bo16bo5bo10bo24b2obobobobob2o\$26bo7bo36b3obo3bob3o61bo10bob2obo63bobobobobobobobo\$o5bo17b2o9b2o33b2o11b2o28bo4bo5bo16b2o3bo12bobobo2b2o16bo5bo10bo21bobobobo5bobobobo\$25bob2o3b2obo34bo10b2obo72bobobo60b2obobo9bobob2o\$obobobo15b2obob2o3b2obob2o30b2o42bo4bobobobo34bobo22bobobobo10bo19bobobob2o2b3o2b2obobobo\$22b2obobobobobobobo120b2ob2o57b2obob3o3bobo3b3obob2o\$23bobobobobobobobob2o118b3o57bo2b2ob7ob7ob2o2bo\$20b2obob5ob5obob2o190bobo\$20b2ob3o2b2ob2ob2obobobo39b2obo134b2o2bob4ob5ob4obo2b2o\$20b5o12bo3bo40b3o141bobobobobobobo\$18b2o17bob2obo40bo142bobobobobobobo\$18bo2b2ob3o9b2obo188bobobobobo\$21b2o3bo12bobo186bobo3bobo\$17b2o4bobobo8b2obo190b2ob2o\$37b3o189b3ob3o\$228b9o\$228bo3bo3bo\$227b3o5b3o3\$229b2o3b2o!`

The asymmetic p12 spaceship, which is the only thing I found at 2c/4, is highly versatile. It has a spark that extends out beyond the width of the front part of the spaceship. This enables it to safely interact with still lifes as well as gliders. One p12 spaceship on its own can delete still lifes, convert boats and beehives into gliders (and back again), duplicate backward gliders and reflect forward gliders.
This spaceship, combined with the almost clean p60 rake/puffer makes it fairly easy to complete the first part of my challenge. Here is a p60 rake that fires 9c/28 spaceships sideways:
`x = 871, y = 211, rule = 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For the second challenge, a breeder, I followed Calcymans suggestion. This requires two rakes and p60 is too fast because it leaves insufficient space to insert the second 9c/28. The p24 spaceship is useful here because it can thin a p60 forward glider stream down to p120. Inserting them at strategic places within the p60 rake converts it to p120. Here is a p120 breeder that emits Calcymans 9c/28 puffer:
`x = 1091, y = 407, rule = 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Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: Puffer with unstable trail (B37/S23)

Very impressive!
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2052
Joined: June 1st, 2009, 4:32 pm

### Re: Puffer with unstable trail (B37/S23)

Here's a 5-engine 9c/28 backrake:
`x = 48, y = 36, rule = B37/S237b2o\$6b2o\$8bo3\$44bobo\$26bo17bobo\$26b2o16bo\$36b2o\$16b2o9b2o9bo\$14b5o16bo2bo\$13bo4bo16bobo\$13bo2b3o\$17bo\$13bo2bo28b2o\$16bo27bo2bo\$13b3o29b2o\$45b2o\$32b2o7b2obo\$23b3o5bo2bo6bo2bo\$2o20b2o2bo5b2o8b3o\$2o19bo3b2o5b2o\$2bo17b2obobo8bob2o\$o2b2o14b2o13bo2bo\$5b2o6b2o4b2ob3o9b3o\$2o3b2o6b2o5bo3bo\$5b3o4bo8b3o\$10b2o2bo6b3o\$7b2obo\$3bo9b2o\$b3o\$2bo2\$11bo\$11b3o\$12bo!`

Unlike Calcyman's period-56 rake, this one can be synthesized relatively easily and should allow the construction of a rake puffer or rake gun:
`x = 65, y = 98, rule = B37/S2349b2o\$49b2o\$48bo\$46b2o2bo\$36b2o6b2o\$36b2o6b2o3b2o\$38bo4b3o\$36bo2b2o\$40bob2o\$36b2o9bo\$47b3o\$48bo2\$39bo\$37b3o\$38bo8\$5b2o\$4bo2bo\$5b2o2\$16b2o\$15bo2bo\$bo14b2o\$b2o\$obo2\$21bo\$20b2o\$20bobo23\$27b2o\$26bo2bo\$27b2o35\$62b2o\$62bobo\$62bo!`

Also, this 3-engine puffer is quite easy to synthesize:
`x = 35, y = 34, rule = B37/S232o\$2o\$2bo\$o2b2o\$5b2o6b2o\$2o3b2o6b2o\$5b3o4bo\$10b2o2bo\$7b2obo\$3bo9b2o\$b3o\$2bo2\$11bo\$11b3o\$12bo4\$22b2o\$21bo2bo\$22b2o10\$33bo\$32b2o\$32bobo!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1473
Joined: July 9th, 2009, 2:44 pm

### Re: Puffer with unstable trail (B37/S23)

Sokwe wrote:
Here's a 5-engine 9c/28 backrake:
...
Unlike Calcyman's period-56 rake, this one can be synthesized relatively easily and should allow the construction of a rake puffer or rake gun:

It's certainly possible to make a rake puffer (although I had to completely re-engineer my c/2 rake to produce the 'flipped' 9c/28). Here is a p120 c/2 MMM breeder based on two different rakes and an R-pentomino inserter. It could probably be made a good deal smaller by using fewer p60 engines and more glider duplications, but I felt more comfortable with a modular design.
`x = 1405, y = 566, rule = 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A gun should also be possible, although my initial attempts suggest that a different gun arrangement is need to add the final R-pentomino. If done naively the newly created rake promptly hoses the gun with its gliders! [EDIT: Ah! One eater fixes that problem.]
Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: Puffer with unstable trail (B37/S23)

Here is a gun for Sokwes nice 5-engine rake. It's composed of 2.5 copies of Calcymans p480 gun with some of the parts rearranged and a strategically placed eater to prevent the glider backwash fron destoying the gun. As with the rake puffer, it may be possible to reduces its size. I just kept adding components until I got something that worked.
`x = 592, y = 354, rule = 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Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

### Re: Puffer with unstable trail (B37/S23)

Sokwe and Paul, thanks for the rake and gun, respectively. DryLife seems to be 'very rich in nice things'!

... composed of 2.5 copies of Calcymans p480 gun ...

Do I not deserve a genitive apostrophe?

Anyway, that is an impressive construction. One could theoretically create a p32n gun based on this, where gliders from the rakes (and you have plenty -- infinitely many -- at your disposal) are recycled, via spinners, to construct the rakes themselves. Then you are no longer constrained to p60n.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2052
Joined: June 1st, 2009, 4:32 pm

### Re: Puffer with unstable trail (B37/S23)

Calcyman wrote:
DryLife seems to be 'very rich in nice things'!

DryLife appears to be very similar to Life and although it lacks some things: the XWSSs, switch engine[*] and Herschel for example, I believe that this simply makes engineered patterns more challenging. It doesn't rule them out completely.
(* It could be argued that the R-pentomino is DryLife's switch engine. I wonder whether it's possible to stabilise a single r-pentomino in a similar way.)

My punctuation usage in the parenthetical remark takes us slightly(!) OT:
Do I not deserve a genitive apostrophe?

Oops! Sorry. Unlike "feasable" and "reduces" this wasn't an accidental typo. I tend to err in the side of caution with the use of apostrophes, to the point where I rarely use them for the possessive. After all "Calcymans" can't be a plural can it? Surely that would be "Calcymen"! But, you're right, you were deserving of an apostrophe and I see that I've failed to supply you with at least one other in the past. To redress this, here is a collection of apostrophes that you can use to correct my past and future mistakes. Keep a careful eye on them because these are slippery little critters that like to sneak into places where they don't belong.
`''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''`

Getting back OT:
One could theoretically create a p32n gun based on this, where gliders from the rakes [...] are recycled,

Yes, although I for one will not be leaping to this challenged immediately - I've got enough on my plate as it is. A possible fly in the ointment here is the phasing/colour square issue. Successive gliders from the same rake are emitted on alternating colour squares, but with a one phase offset between each. Furthermore the gun's period is necessarily a multiple of four, so successive rakes emit gliders of the same colour square and phasing flavour. Unless the p32 spinner can reflect a glider in more than one way (I haven't checked) it might be tricky finding the right flavours of gliders to create the beehives.
Paul Tooke

Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

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