ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

Synthesising Oscillators

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

Re: Synthesising Oscillators

Postby Extrementhusiast » October 20th, 2017, 10:04 pm

mniemiec wrote:This is a first attempt at a converter to un-curl a tail (i.e. loop to hook w/tail converter). Can anyone salvage it, or is there another way to do this? I am trying to back-convert the 30-bit P4 from 2017-07-27 to the base 26-bit version:
RLE


Seven gliders total:
x = 46, y = 18, rule = B3/S23
30bobo$30b2o$31bo$2bo3bo22bo$obo3bobo21bo$b2o3b2o20b3o2$4b3o35bo$6bo
23b2o10b3o$5bo5b2o16bo2bo12bo$10bo2bo15bobo12bo$10bobo10bo3bobob2o11b
2o$9b2ob2o10b2ob2o$23b2o2$27b2o$26b2o$28bo!
I Like My Heisenburps! (and others)
User avatar
Extrementhusiast
 
Posts: 1650
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: Synthesising Oscillators

Postby gmc_nxtman » October 21st, 2017, 8:41 pm

Are these known?

x = 26, y = 20, rule = B3/S23
23bo$4bo16b2o$2bobo5b2o10b2o$3b2o4b2o$11bo$bo22bo$obo13b2o5b2o$obo13bo
bo4bobo$bo15bo3$3b2o14b2o$4b2o14b2o$3bo3b2o10bo3b2o$6b2o14b2o$8bo15bo
2$bo15bo$b2o14b2o$obo13bobo!
User avatar
gmc_nxtman
 
Posts: 1055
Joined: May 26th, 2015, 7:20 pm

Re: Synthesising Oscillators

Postby 2718281828 » November 1st, 2017, 4:30 pm

Is this a proper synthesis of http://www.conwaylife.com/wiki/26P40?
x = 45, y = 38, rule = B3/S23
obo$b2o$bo9$25b2o$21b2o2bobo$22b2obo$21bo17bobo$39b2o$28bo11bo$28bobo$
28b2o$15b2o$14bobo$4bo11bo$4b2o$3bobo17bo$19bob2o$17bobo2b2o$18b2o9$
43bo$42b2o$42bobo!
User avatar
2718281828
 
Posts: 30
Joined: August 8th, 2017, 5:38 pm

Re: Synthesising Oscillators

Postby mniemiec » November 1st, 2017, 5:38 pm

2718281828 wrote:Is this a proper synthesis of http://www.conwaylife.com/wiki/26P40?
x = 45, y = 38, rule = B3/S23
obo$b2o$bo9$25b2o$21b2o2bobo$22b2obo$21bo17bobo$39b2o$28bo11bo$28bobo$
28b2o$15b2o$14bobo$4bo11bo$4b2o$3bobo17bo$19bob2o$17bobo2b2o$18b2o9$
43bo$42b2o$42bobo!

Close, but not quite. This does work as shown; however, the gliders could not have gotten to their current positions - six of them would have interacted previously (e.g. try moving each glider back 10 spaces and see what happens).

chris_c created a different 10-glider synthesis on 2016-04-11:
x = 65, y = 30, rule = B3/S23
11bo$9bobo$10boo$28bo$bobo24bobo$bboo24boo$bbo$$48boo8boo$48boo7bo$bbo
57bo$obo53boobo$boo23bo29boo$26bobo$26boo$5boo$4bobo$6bo23boo23boo$30b
obo20boboo$30bo21bo$55bo7boo$53boo8boo$$30bo$3boo24boo$bbobo24bobo$4bo
$21boo$21bobo$21bo!
mniemiec
 
Posts: 844
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Postby 2718281828 » November 11th, 2017, 6:03 pm

Simkin's glider gun synthesis and the corresponding oscillator with 11 and 13 gliders:
x = 133, y = 58, rule = B3/S23
9$110bobo$110b2o$111bo6$27bo80bo$25b2o80bo$26b2o79b3o7$125bo$125bobo$
125b2o$3bo82bo$4b2o2bo78bo2b2o7bo20bo$3b2o3b2o75b3obobo8b2o17bo$7bobo
27bo53bo7b2o18b3o$37bobo$37b2o2$4b2o17bo8bo53b2o$3bobo18b2o5bo55b2o10b
o12b3o$5bo17b2o6b3o52bo13bo11bo$98b3o12bo4$23bo$24bo6b2o$22b3o5bobo$
32bo$25bo14bo$25b2o12b2o$24bobo12bobo$107b2o$106bobo$108bo$101bo26bo$
101b2o24b2o$100bobo24bobo!
User avatar
2718281828
 
Posts: 30
Joined: August 8th, 2017, 5:38 pm

Re: Synthesising Oscillators

Postby 2718281828 » November 12th, 2017, 7:51 pm

Extrementhusiast wrote:I did come up with a method, but it might not work. I still have to test it. (I'm on the other computer right now.)
EDIT: It works, with 52 gliders:
x = 216, y = 102, rule = B3/S23
137bo$135bobo$136b2o2$180bo$143bo36bobo$144bo35b2o$142b3o$189bo$188bo$
188b3o3$149bo$138bo8bobo$136bobo9b2o$137b2o5$214bo$177bo22bo12bo$168bo
6b2o22bo13b3o$65bo100bobo7b2o21b3o$64bo59bo42b2o$64b3o55bobo$56bo66b2o
$54bobo151bo$55b2o151bobo$208b2o$167bo$165b2o$119bo46b2o33bo$120bo36bo
42bo$92bo25b3o36bo42b3o$20bo70bo65bo$bo18bobo68b3o$2bo17b2o114bobo$3o
11bo122b2o$12bobo122bo$13b2o2$179b3o$65bo94bo$3b3o58bobo7b2o18b2o63bob
o7b2o$5bo58bobo6bo2bo17bobo62bobo6bo2bo$4bo60bo8b2o18bo42b3o20bo8b2o$
19bo119bo5bobo$18bo119bo7b2o$18b3o125bo$183bo$182b2o7bo$182bobo5bo$9b
2o34bo18b2o8bo84b2o8bo20b3o$9bobo31bobo17bo2bo6bobo82bo2bo6bobo$9bo11b
3o20b2o18b2o7bobo83b2o7bobo$2b2o17bo52bo94bo$bobo18bo125b3o$3bo2$192bo
$191b2o$191bobo$46b3o$48bo123bo$47bo79b3o42bo36b3o$129bo42bo36bo$128bo
33b2o46bo$163b2o$162bo$120b2o$83b2o34bobo$83bobo35bo$83bo121b2o$73b3o
129bobo$75bo85b2o42bo$74bo53b3o21b2o7bobo$114b3o13bo22b2o6bo$116bo12bo
22bo$115bo5$191b2o$180b2o9bobo$180bobo8bo$180bo3$139b3o$141bo$140bo$
185b3o$148b2o35bo$147bobo36bo$149bo2$192b2o$192bobo$192bo!


This synthesis is not listed at http://conwaylife.com/wiki/56P27 .

However, I found 20 glider one for 56P27:
x = 40, y = 40, rule = B3/S23
18bo$19bo$17b3o$21bo$20bo$20b3o2$16bo$14bobo$15b2o2$17bo$17bobo$17b2o
3b2o$22bobo6bo$14bo7bo7bo$13bo16b3o$5bo7b3o10b3o8bo$3bobo20bo10bobo$4b
2o21bo9b2o$b2o9bo21b2o$obo10bo20bobo$2bo8b3o10b3o7bo$7b3o16bo$9bo7bo7b
o$8bo6bobo$16b2o3b2o$20bobo$22bo2$23b2o$23bobo$23bo2$17b3o$19bo$18bo$
20b3o$20bo$21bo!
User avatar
2718281828
 
Posts: 30
Joined: August 8th, 2017, 5:38 pm

Re: Synthesising Oscillators

Postby 2718281828 » December 1st, 2017, 8:16 am

Can someone clean this
x = 13, y = 4, rule = B3/S23
3bo5bo$2ob2o3b2ob2o$o2bo5bo2bo$3o7b3o!
using a single glider - without destroying the tumbler?
User avatar
2718281828
 
Posts: 30
Joined: August 8th, 2017, 5:38 pm

Re: Synthesising Oscillators

Postby mniemiec » December 1st, 2017, 8:43 am

2718281828 wrote:Can someone clean this ... using a single glider - without destroying the tumbler?

Since each half of the starting pattern takes at least 3 gliders to make, this would take at least 7 if a single-glider cleanup existed, and since there are already several ways of making a tumbler from 6 gliders, there doesn't seem to be much point in optimizing this synthesis, unless you have some special reason for it (e.g. you want to edge-shoot a tumbler, e.g. to create a tumbler-on-tumbler pseudo-oscillator or somesuch).

EDIT: Yes, it can be done with one glider, and yes, it can edge-shoot a tumbler next to an existing tumbler. I'm not sure how to make the starting chunks, though. I had originally though they were the glider+block methuselah that evolves from a wing (which can be made from 3 gliders), but they're not.
x = 41, y = 46, rule = B3/S23
26bobo$26boo$27bo18$3bo5bo$ooboo3booboo$obbo5bobbo$3o7b3o10$33boo3boo$
32booboboboo$35bobo$35bobo$$34booboo$$4booboo25booboo$$5bobo27bobo$5bo
bo27bobo$bbooboboboo21booboboboo$3boo3boo23boo3boo!
mniemiec
 
Posts: 844
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Postby 2718281828 » December 1st, 2017, 11:52 am

mniemiec wrote: I had originally though they were the glider+block methuselah that evolves from a wing (which can be made from 3 gliders), but they're not.
Omg, sorry I did the same and I thought it should be easy to get both from 2x3 gliders - but it seems to be not the case.
Thanks anyway for the cleaning.
User avatar
2718281828
 
Posts: 30
Joined: August 8th, 2017, 5:38 pm

Re: Synthesising Oscillators

Postby mniemiec » December 1st, 2017, 5:43 pm

2718281828 wrote:
mniemiec wrote: I had originally though they were the glider+block methuselah that evolves from a wing (which can be made from 3 gliders), but they're not.
Omg, sorry I did the same and I thought it should be easy to get both from 2x3 gliders - but it seems to be not the case.
Thanks anyway for the cleaning.

Where did you find that predecessor in the first place? If it was from a soup, it might be possible to work from an earlier generation.

EDIT: It turns out that there are also two sideways-connected tumbler-on-tumblers (cis and trans). I have never seen a way to edge-shoot a tumbler sideways, but it might be possible to ignite one from a pair of bookends, given the right sparks:
x = 97, y = 41, rule = B3/S23
o5bo33bo5bo33bo5bo$10bo5bo33bo5bo33bo5bo$booboo5booboo25booboo5booboo
25booboo5booboo$bbobo7bobo27bobo7bobo27bobo7bobo$obobobo3bo5bo23bobobo
bo3bo5bo23bobobobo3bo5bo$oo3boo3b3ob3o23boo3boo3b3ob3o23boo3boo3b3ob3o
$$bbobo33b3o3bo33b3o5b3o$37b6o34b6ob7o$37bo3b3o33bo3b5o3boo$83bo20$o5b
o33bo5bo3b3ob3o$50bo5bo$booboo35booboo6bobo$bbobo37bobo6booboo$obobobo
33bobobobo3bo5bo$oo3boo33boo3boo$10b3ob3o$bbobo5bo5bo25bobo$12bobo$11b
ooboo$10bo5bo!

EDIT 2: The trans version can be made from 34 gliders by side-shooting a tumbler the hard way; this can be used to make chains of these, if necessary. Unfortunately, this trick doesn't work for the cis version; however, two side-shooting tumblers can be made simultaneously from 61 gliders:
x = 306, y = 256, rule = B3/S23
99bo$7bo7bo84bo$8boo3boo83b3o162bo$7boo5boo245bobo3bo$bbo17bo28booboo
35booboo7bobo25booboo35booboo35booboo35booboo8boobbo22booboo$3bo15bo
29bo3bo35bo3bo7boo26bo3bo35bo3bo35bo3bo35bo3bo12b3o20bo3bo$b3o15b3o25b
obbobobbo31bobbobobbo6bo24bobbobobbo3boo26bobbobobbo3boo26bobbobobbo3b
oo26bobbobobbo3boo26bobbobobbo3booboo$47bobo3bobo31bobo3bobo31bobo3bob
o4bo26bobo3bobo4bo26bobo3bobo4bo26bobo3bobo4bo3boo21bobo3bobo4bobobo$
8boo3boo33bo5bo33bo5bo33bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo4bobo21b
o5bo4bo3bo$9booboo124bo39bo39bo39bo5bo33bo$8bo5bo87b3o33boo38boo38boo
38boo38boo$96b3o3bo79bo$98bo4bo77bo36boo38boo38boo$97bo83b3o33bobo37bo
bo37bobo$176b3o39bo39bo39bo$178bo$177bobboo$180bobo$180bo12$264bo$262b
oo$263boo$255bo$256boo$255boo$269bo$262bo4boo$261bo6boo$261b3o3$192bob
o$108bobo81boo$9booboo35booboo35booboo14boo19booboo35booboo19bo15boob
oo35booboo35booboo$9bo3bo35bo3bo35bo3bo15bo19bo3bo35bo3bo35bo3bo35bo3b
o16bo18bo3bo4bo5bo$7bobbobobbo3booboo23bobbobobbo3booboo23bobbobobbo3b
ooboo23bobbobobbo3booboo23bobbobobbo3booboo23bobbobobbo3booboo23bobbob
obbo3booboo5boo16bobbobobbobobo3bobo$7bobo3bobo4bobobobb3o17bobo3bobo
4bobobo22bobo3bobo4bobobo22bobo3bobo4bobo24bobo3bobo4bobo24bobo3bobo4b
obo24bobo3bobo4bobo6bobo15bobo3bobobobbobobbo$8bo5bo4bo3bo3bo20bo5bo4b
o3bobo22bo5bo4bo3bobo22bo5bo4bo3bo24bo5bo4bo3bo9boo13bo5bo4bo3bo24bo5b
o4bo3bo24bo5bo4bo3bo$18bo9bo29bo5bo33bo5bo33bo5bo33bo5bo8bobo22bo5bo
33bo5bo34booboo$18boo6bo31boo38boo38boo3boo33boo3boo8bo24boo3boo33boo
3boo$26boo161b3o$18boo5bobo30boo38boo38boo38boo11bo26boo3boo33boo3boo$
17bobo37bobo37bobo3boo32bobo37bobo10bo26bobo3bobo31bobo3bobo$18bo39bo
39bo5boo32bo39bo39bo5bo33bo5bo$103bo3boo$106boo79b3o$108bo78bo$188bo
69b3o$102boo76boo78bobbo$103boo76boo76bo3bobo$102bo77bo82boo19$22bo$
21bo$21b3o10$170bo$171boo82bobo$170boo84boo$92boo84bo77bo$90bobobo82bo
$88bobobo84b3o81bo$89boo168boo$7bo7bo68boo42bo39bo39bo5bo33bo5bo5boo
26bo5bo3bo$8bo5bo70boo40bobo37bobo10bo26bobo3bobo31bobo3bobo7boo22bobo
3bobobobo$6b3o5b3o67bo43boo38boo11bo26boo3boo33boo3boo8bobo22boo3boo3b
oo$179b3o81bo$48boo3boo33boo3boo33boo3boo33boo3boo8bo24boo3boo33boo3b
oo33boo3boo3boo$48bo5bo33bo5bo33bo5bo33bo5bo8bobo22bo5bo33bo5bo33bo5bo
3bobo$49bo3bo35bo3bo35bo3bo35bo3bo9boo24bo3bo35bo3bo7boo26bo3bo5bo$13b
o36bobo37bobo37bobo37bobo37bobo37bobo8bobo26bobo$13bobo33booboo35boob
oo35booboo35booboo35booboo35booboo7bo27booboo$13boo$183bo$10bobo169boo
$11boo169bobo$11bo4$obo17bobo$boo17boo$bo19bo12$bb3o13b3o$4bo13bo$3bo
15bo17$8bo5bo3bo29bo5bo3bo29bo5bo3bo29bo5bo3bo29bo5bo3bo29bo5bo3bo29bo
5bo3bo29bo5bo3bo$7bobo3bobobobo27bobo3bobobobo27bobo3bobobobo27bobo3bo
bobobo27bobo3bobobobo27bobo3bobobobo27bobo3bobobobo27bobo3bobobobo$8b
oo3boo3boo28boo3boo3boo28boo3boo3boo28boo3boo3boo28boo3boo3boo28boo3b
oo3boo28boo3boo3boo28boo3boo3boo$$8boo3boo3boo28boo3boo3boo28boo3boo3b
oo28boo3boo3boo28boo3boo3boo28boo3boo3boo28boo3boo3boo28boo3boo3boo$8b
o5bo3bobo27bo5bo3boo28bo5bo3boo28bo5bo3bo29bo5bo3bo29bo5bo3bo29bo5bo3b
o29bo5bo3bo$9bo3bo5bo29bo3bo35bo3bo35bo3bo6bo28bo3bo6bo28bo3bo5bo29bo
3bo5bo29bo3bo5bo$10bobo37bobo37bobo37bobo6boo29bobo6boo29bobo7bo29bobo
7bo29bobo7bo$9booboo3boo30booboo35booboo35booboo35booboo10bo24booboo7b
o27booboo7bo27booboo5boo$17bobo162boo36boo38boo$17bo165boo$108bo147bo$
108bobo71bo73boo6boo$101bobo4boo71boo72bobo6bobo$101boo78bobo80bo$102b
o155b3o$258bo$100boo157bo$100bobo$100bo5$113boo$113bobo$113bo7$182bo
77bo$183boo76boo$182boo76boo$268bo$188bo78bo$186boo79b3o$183bo3boo$8bo
5bo3bo29bo5bo3bo29bo5bo3bo29bo5bo3bo29bo5bo3bo5boo22bo5bo3bo29bo5bo3bo
29bo5bo3bo5bo$7bobo3bobobobo27bobo3bobobobo27bobo3bobobobo27bobo3bobob
obo27bobo3bobobobo3boo22bobo3bobobobo27bobo3bobobobo10bo16bobo3bobobob
o3bobo$8boo3boo3boo28boo3boo3boo28boo3boo3boo5bobo20boo3boo3boo28boo3b
oo3boo28boo3boo3boo28boo3boo3boo11bo16boo3boo3boo3boo$106boo161b3o$8b
oo3boo3boo28boo3boo3boo28boo3boo3boo6bo21boo3boo3boo28boo3boo3boo28boo
3boo3boo3boo23boo3boo3boo3boo8bo14boo3boo3boo3boo$8bo5bo3bo5bo23bo5bo
3bo29bo5bo3bo9bo19bo5bo3bo5bo23bo5bo3bo5bo23bo5bo3bo5bo23bo5bo3bo5bo8b
obo12bo5bo3bo5bo$9bo3bo5bo4bobo22bo3bo5bo3bo25bo3bo5bo3bo3bo21bo3bo5bo
3bobo23bo3bo5bo3bobo23bo3bo5bo3bo25bo3bo5bo3bo9boo14bo3bo5bo3bo$10bobo
7bo3boo24bobo7bobobo25bobo7bobobobb3o20bobo7bobobo25bobo7bobobo25bobo
7bobo27bobo7bobo27bobo7bobo$9booboo5boo28booboo5booboo25booboo5booboo
25booboo5booboo25booboo5booboo25booboo5booboo25booboo5booboo25booboo5b
ooboo$26b3o160bo$22boobbo161boo83bo$21bobo3bo160bobo81boo$23bo248bobo
16$91bobo$90bo$90bo$90bobbo$90b3o$103boo$99bo3bobo$100bobbo$98b3o4$8bo
5bo3bo5bo23bo5bo3bo5bo23bo5bo3bo5bo$7bobo3bobobobo3bobo21bobo3bobobobo
3bobo21bobo3bobobobo3bobo$8boo3boo3boo3boo23boo3boo3boo3boo23boo3boo3b
oo3boo$$8boo3boo3boo3boo23boo3boo3boo3boo23boo3boo3boo3boo$8bo5bo3bo5b
o23bo5bo3bo5bo23bo5bo3bo5bo24booboo5booboo$9bo3bo5bo3bo25bo3bo5bo3bo
25bo3bo5bo3bo25bo3bo5bo3bo$10bobo7bobo27bobo7bobo18bobo6bobo7bobo6bobo
15bobbobobbobobbobobbo$9booboo5booboo25booboo5booboo18boo5booboo5boob
oo5boo16bobo3bobobobo3bobo$82bo27bo17bo5bo3bo5bo$$58bo39bo$57bobo37bob
o$57bobo37bobo$58bo39bo$90boo$83boo4bobo16boo$84boo5bo15boo$20boo61bo
25bo$20bobo75bo$13boo5bo76boo$12bobo82bobo$14bo$$15boo$15bobo$15bo!

EDIT 3: The end-to-end version can be made a different way from 28 gliders:
x = 295, y = 45, rule = B3/S23
153bo33bo$154boo29boo$153boo31boo$$95bo$96bo$94b3o62bo21bo$80bo17bo61b
oo17boo$81boo15bobo58boo19boo$80boo16boo139bo21bo$237bobo21bobo$78bo
46bo9bo29bo9bo62boo21boo$78boo45bo9bo29bo9bo25boo15boo21boo15boo$5bo
71bobo45bo9bo29bo9bo25boo15boo21boo15boo$3bobo$4boo$19bo$5bo8bo3bo26b
oo7boo29boo7boo29boo7boo29boo7boo32booboo35booboo35booboo$5boo8boob3o
23bobbo5bobbo27bobbo5bobbo27bobbo5bobbo27bobbo5bobbo31bo3bo35bo3bo35bo
3bo$4bobo7boo28bobbo5bobbo27bobbo5bobbo27bobbo5bobbo27bobbo5bobbo29bo
bbobobbo31bobbobobbo31bobbobobbo$45boo7boo29boo7boo29boo7boo29boo7boo
30bobo3bobo31bobo3bobo31bobo3bobo$207bo5bo33bo5bo33bo5bo$$207bo5bo33bo
5bo33bo5bo$45boo7boo29boo7boo29boo7boo29boo7boo30bobo3bobo31bobo3bobo
31bobo3bobo$5boo7bobo27bobbo5bobbo27bobbo5bobbo27bobbo5bobbo27bobbo5bo
bbo29bobbobobbo31bobbobobbo31bobbobobbo$3oboo8boo28bobbo5bobbo27bobbo
5bobbo27bobbo5bobbo27bobbo5bobbo31bo3bo35bo3bo35bo3bo$bbo3bo8bo29boo7b
oo29boo7boo29boo7boo29boo7boo32booboo35booboo35booboo$bo$15boo$15bobo$
15bo85bobo21bo9bo29bo9bo25boo15boo21boo15boo$101boo22bo9bo29bo9bo25boo
15boo21boo15boo$102bo22bo9bo29bo9bo62boo21boo$237bobo21bobo$81boo16boo
138bo21bo$80bobo15boo59boo19boo$82bo17bo59boo17boo$84b3o72bo21bo$84bo$
85bo$$153boo31boo$154boo29boo$153bo33bo!
mniemiec
 
Posts: 844
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Postby 2718281828 » December 2nd, 2017, 3:52 pm

mniemiec wrote:Where did you find that predecessor in the first place? If it was from a soup, it might be possible to work from an earlier generation.

Yes, I got it from a soup:
x = 32, y = 31, rule = B3/S23
obob3o2b3o8b3o2b3obobo$2obo2bo3bo2bo4bo2bo3bo2bob2o$2bobobo8b2o8bobobo
$bo2b2obo6b4o6bob2o2bo$3b4ob3o2bob2obo2b3ob4o$b2o3bo7b4o7bo3b2o$bo2b4o
b2o10b2ob4o2bo$b2o2bobo3bo8bo3bobo2b2o$2o3b2o3bo3bo2bo3bo3b2o3b2o$o6b
4o2bo4bo2b4o6bo$obob2o3bo2bob4obo2bo3b2obobo$3o5b2obo8bob2o5b3o$b5o2bo
3b2o4b2o3bo2b5o$bob3o2bo5bo2bo5bo2b3obo$3o2bo2bo2bo2b4o2bo2bo2bo2b3o$
3b3ob2ob2ob2o2b2ob2ob2ob3o$3o2bo2bo2bo2b4o2bo2bo2bo2b3o$bob3o2bo5bo2bo
5bo2b3obo$b5o2bo3b2o4b2o3bo2b5o$3o5b2obo8bob2o5b3o$obob2o3bo2bob4obo2b
o3b2obobo$o6b4o2bo4bo2b4o6bo$2o3b2o3bo3bo2bo3bo3b2o3b2o$b2o2bobo3bo8bo
3bobo2b2o$bo2b4ob2o10b2ob4o2bo$b2o3bo7b4o7bo3b2o$3b4ob3o2bob2obo2b3ob
4o$bo2b2obo6b4o6bob2o2bo$2bobobo8b2o8bobobo$2obo2bo3bo2bo4bo2bo3bo2bob
2o$obob3o2b3o8b3o2b3obobo!

But I am not sure if it helps, even though there is a relatively simple 7-bit predecessor of this 'block and glider'
x = 4, y = 5, rule = B3/S23
2bo$3o$3bo$3bo$3bo!

Edit1: I found a 3G collision:
x = 9, y = 15, rule = B3/S23
bo$2b2o$b2o3$b3o$3bo$2bo5$7bo$6b2o$6bobo!

It does not solve the problem but maybe a first step.
Edit2: another 3G option:
x = 8, y = 14, rule = B3/S23
5bo$4bo$4b3o5$4bobo$4b2o$5bo2$bo$b2o$obo!
but it is still not working (see around gen. 95):
x = 47, y = 54, rule = B3/S23
45bo$44bo$44b3o5$44bobo$44b2o$45bo15$36bobo$36b2o$37bo5$32bo$33bo$31b
3o3$31b2o$32b2o$31bo13$bo$b2o$obo!
User avatar
2718281828
 
Posts: 30
Joined: August 8th, 2017, 5:38 pm

Re: Synthesising Oscillators

Postby Extrementhusiast » December 2nd, 2017, 8:50 pm

Interim ten-glider solution:
x = 15, y = 25, rule = B3/S23
4bobo$5b2o$5bo$12bobo$bo10b2o$2bo10bo$3o2$3b2ob2o$3b2ob2o6$3b2ob2o$3b
2ob2o2$3o$2bo10bo$bo10b2o$12bobo$5bo$5b2o$4bobo!

It might be possible to save a glider or two by making the blinkers from a mangled (pre-)pulsar or something.
I Like My Heisenburps! (and others)
User avatar
Extrementhusiast
 
Posts: 1650
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: Synthesising Oscillators

Postby mniemiec » December 3rd, 2017, 3:41 am

Extrementhusiast wrote:Interim ten-glider solution: ...
It might be possible to save a glider or two by making the blinkers from a mangled (pre-)pulsar or something.

Actually, the basic 2-glider edge-shooting blinker works, for 9, plus 1 for cleanup is 10 gliders to edge-shoot the tumbler; total of 16 for the pseudo-oscillator:
x = 155, y = 57, rule = B3/S23
139bo$138bo$138b3o15$99bo$97bobo$98boo$111bo$93bo18bo14bo$94boo14b3o
12boo$93boo23bo7boo$46bo71bobo$44bobo19boo38boo10boo$45boo19boo38boo$$
45boo19boo38boo$44bobo19boo38boo$46bo9$96boo25boo$97boo23boo$96bo27bo
$$148booboo$148bo3bo$146bobbobobbo$146bobo3bobo$7bo5bo133bo5bo$8booboo
$7boo3boo13bo5bo13bo5bo13bo5bo33bo5bo33bo5bo$26bobo3bobo11bobo3bobo11b
obo3bobo31bobo3bobo31bobo3bobo$3o15b3o5bobbobobbo11bobbobobbo11bobbobo
bbo31bobbobobbo31bobbobobbo$bbo15bo9bo3bo15bo3bo15bo3bo35bo3bo35bo3bo$
bo17bo8booboo15booboo15booboo35booboo35booboo$6boo5boo$7boo3boo$6bo7bo
!
mniemiec
 
Posts: 844
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Postby mniemiec » December 5th, 2017, 7:24 pm

Some mostly mundane syntheses of oscillators that have recently come up in various threads:
124p130 from 42:
x = 229, y = 194, rule = B3/S23
66bo$65bo$65b3o27boo28boo28boo28boo28boo$62boo31boo28boo28boo28boo28b
oo$62bobo$62bo75bo$137bo29bo29bo29bo$60boo9bo18boo28boo15b3o10boo14bob
o11boo14bobo11boo14bobo$59bobo9bobo16boobb3o23boobb3o23boobb3o9bobo11b
oobb3o9bobo11boobb3o9bobo$61bo9boo67b3o24bo29bo29bo$140bo$68b3o70bo$4b
o28bo29bo4bo24bo29bo29bo29bo29bo$3bo28bobo27bobo4bo22bobo27bobo27bobo
27bobo27bobo$3b3o26boo28boo28boo28boo28boo28boo28boo$$bbo29boo28boo28b
oo28boo28boo28boo28boo$boo29bobo27bobo27bobo27bobo4bo22bobo27bobo27bob
o$bobo4bo24bo29bo29bo29bo4bo24bo29bo29bo$7boo119b3o70bo$7bobo190bo$
121bo9boo67b3o24bo$90boo27bobo9bobo16boobb3o23boobb3o23boobb3o9bobo$
90boo28boo9bo18boo28boo15b3o10boo14bobo$197bo29bo$122bo75bo$122bobo$
95boo25boo31boo28boo28boo$95boo28b3o27boo28boo28boo$125bo$126bo12$5boo
58boo58boo58boo$5boo58boo58boo58boo3$17bo59bo59bo59bo$oo14bobo41boo14b
obo41boo14bobo41boo14bobo$oobb3o9bobo41boobb3o9bobo41boobb3o9bobo41boo
bb3o9bobo$17bo59bo59bo59bo3$3bo37bo21bo38bo20bo38bo20bo38bo$bbobo37bo
19bobo36bobo18bobo36bobo18bobo36bobo$bboo36b3o19boo38boo18boo38boo18b
oo38boo$$bboo39bo18boo38boo18boo38boo18boo38boo$bbobo38boo17bobo36bobo
18bobo36bobo18bobo36bobo$3bo33bo4bobo18bo38bo20bo38bo20bo38bo$37boo$
36bobo126bo$17bo59bo59bo26bo32bo$oobb3o9bobo41boobb3o9bobo41boobb3o9bo
bo25b3o13boobb3o9bobo25boo$oo14bobo41boo14bobo41boo14bobo22boo17boo14b
obo25boo$17bo59bo59bo23bobo33bo$161bo$$5boo58boo58boo32boo24boo32boo$
5boo58boo58boo31bobo24boo32boo$160bo12$40bo$5boo31bobo24boo32boo24boo
32boo24boo32boo$5boo32boo24boo32boo24boo32boo24boo32boo$$41bo$17bo23bo
bo33bo59bo59bo$oo14bobo22boo17boo14bobo25boo14boo14bobo15bo9boo14boo
14bobo25boo$oobb3o9bobo25b3o13boobb3o9bobo25boo14boobb3o9bobo13bobo9b
oo14boobb3o9bobo20b3obboo$17bo26bo32bo59bo15boo42bo$45bo$155b3o$3bo38b
o20bo38bo20bo33bo4bo20bo38bo$bbobo36bobo18bobo36bobo18bobo31bo4bobo18b
obo36bobo$bboo38boo18boo38boo18boo38boo18boo38boo$$bboo38boo18boo38boo
18boo38boo18boo38boo$bbobo31bo4bobo18bobo36bobo18bobo36bobo18bobo36bob
o$3bo33bo4bo20bo38bo20bo38bo20bo38bo$35b3o$$17bo15boo42bo59bo59bo$oobb
3o9bobo13bobo9boo14boobb3o9bobo20b3obboo14boobb3o9bobo20b3obboo14boobb
3o9bobo20b3obboo$oo14bobo15bo9boo14boo14bobo25boo14boo14bobo25boo14boo
14bobo25boo$17bo59bo59bo59bo3$5boo32boo24boo32boo24boo32boo24boo32boo$
5boo32boo24boo32boo24boo32boo24boo32boo14$5boo32boo24boo32boo24boo32b
oo24boo32boo$5boo32boo24boo32boo24boo32boo24boo32boo3$9bo7bo59bo59bo
18bo40bo$oo6bo7bobo25boo14boo4boo8bobo25boo14boo4boo8bobo18bo6boo14boo
4boo8bobo19boo4boo$oobb3ob3o5bobo20b3obboo14boo3bobbo7bobo20b3obboo14b
oo3bobbo7bobo16b3ob3obboo14boo3bobbo7bobo18bobbo3boo$17bo47bobo9bo47bo
bo9bo47bobo9bo20bobo$66bo59bo59bo32bo$$3bo38bo20bo38bo20bo38bo20bo38bo
$bbobo36bobo18bobo36bobo18bobo36bobo18bobo36bobo$bboo38boo18boo38boo
18boo38boo18boo38boo$$bboo38boo18boo38boo18boo38boo18boo38boo$bbobo36b
obo18bobo36bobo18bobo36bobo18bobo36bobo$3bo38bo20bo38bo20bo38bo20bo38b
o$$99bo59bo26bo32bo$17bo59bo20bobo36bo20bobo24bobo9bo20bobo$oobb3o9bob
obo14b3ob3obboo14boobb3o9bobo18bobbo3boo14boobb3ob3o5bobo18bobbo3boo
14boo3bobbo7bobo18bobbo3boo$oo14bobo18bo6boo14boo14bobo19boo4boo14boo
6bo7bobo19boo4boo14boo4boo8bobo19boo4boo$17bo18bo40bo51bo7bo59bo3$5boo
32boo24boo32boo24boo32boo24boo32boo$5boo32boo24boo32boo24boo32boo24boo
32boo9$32bo$30boo$31boo$$24boo$5boo17b3o12boo24boo32boo$5boo16boboo12b
oo24boo32boo$23b3o$24bo$17bo66boo$oo4boo8bobo19boo4boo14boo4boo18bo11b
oo4boo$oo3bobbo7bobo18bobbo3boo14boo3bobo16b3o10bobbo3boo$5bobo9bo20bo
bo24b3o13bo16bobo$6bo32bo38b3oboo15bo$78bo3boo$3bo38bo20bo20bo17bo$bbo
bo36bobo18bobo14bo3bo17bobo$bboo38boo18boo16b4o18boo$$bboo38boo18boo
16b4o18boo$bbobo36bobo18bobo14bo3bo17bobo$3bo38bo20bo20bo17bo$78bo3boo
$6bo32bo38b3oboo15bo$5bobo9bo20bobo24b3o13bo16bobo$oo3bobbo7bobo18bobb
o3boo14boo3bobo16b3o10bobbo3boo$oo4boo8bobo19boo4boo14boo4boo18bo11boo
4boo$17bo66boo$24bo$23b3o$5boo16boboo12boo24boo32boo$5boo17b3o12boo24b
oo32boo$24boo$$31boo$30boo$32bo!

68p135 from 23:
x = 174, y = 48, rule = B3/S23
29bo$28bo$28b3o$18bo$19bo$17b3o$$31bo$31bobo$31boo39boo38boo15bo22boo$
72boo38boo16bo21boo$22bo105b3o$20bobo$21boo143bo4bo$8bo126boo27boob4ob
oo$9bo15bo47b3o37b3o19bobo15b3o10bo4bo$7b3o16bo46bobo37bobo13bo5bo17bo
bo$bbo21b3o15bo30bo39bo14boo23bo$obo39bobo23bo9boo28bo9boo8bobo17bo9b
oo$boo39boo24boo7boo29boo7boo29boo7boo$35bo33bo39bo39bo$16boo16bo$15bo
bo16b3o28boo20boo16boo20boo16boo20boo$17bo47bo14b3o4boo16bo14b3o4boo
16bo14b3o4boo$30bo28boo4b3o14bo16boo4b3o14bo16boo4b3o14bo$11b3o16bobo
26boo20boo16boo20boo16boo20boo$13bo16boo$12bo65bo39bo39bo$4boo39boo22b
oo7boo29boo7boo29boo7boo$3bobo39bobo20boo9bo28boo9bo28boo9bo$5bo15b3o
21bo28bo39bo39bo$21bo16b3o31bobo37bobo37bobo$22bo15bo33b3o37b3o37b3o$
39bo$25boo$25bobo$25bo$74boo38boo38boo$15boo57boo38boo38boo$14bobo$16b
o$$28b3o$28bo$29bo$17b3o$19bo$18bo!

106p135 from 29:
x = 308, y = 72, rule = B3/S23
114bo112bo$112boo114boo$113boo5bo100bo5boo$119bo102bo$119b3o98b3o$146b
obbo4bobbo28bobbo4bobbo58bobbo4bobbo26bobbo4bobbo$144b3obb6obb3o24b3o
bb6obb3o54b3obb6obb3o22b3obb6obb3o$146bobbo4bobbo28bobbo4bobbo58bobbo
4bobbo26bobbo4bobbo$$51bobo$52boo8bo47boo118boo$52bo7boo47bobo118bobo$
25bo19bo15boo22bo10bo14bo13bo10bo28bo10bo28bo10bo13bo44bo10bo$25bo19bo
39bo10bo28bo10bo28bo10bo28bo10bo58bo10bo$24bobo17bobo37bobo8bobo26bobo
8bobo26bobo8bobo26bobo8bobo56bobo8bobo$25bo19bo39bo10bo28bo10bo28bo10b
o28bo10bo58bo10bo$bbo5boo15bo19bo39bo10bo28bo10bo28bo10bo28bo10bo58bo
10bo$obo4boo16bo19bo39bo10bo28bo10bo28bo10bo28bo10bo58bo10bo$boo6bo15b
o19bo39bo10bo28bo10bo28bo10bo28bo10bo58bo10bo$24bobo17bobo37bobo8bobo
26bobo8bobo26bobo8bobo26bobo8bobo56bobo8bobo$25bo19bo39bo10bo28bo10bo
28bo10bo28bo10bo58bo10bo$25bo19bo15boo22bo10bo28bo10bo28bo10bo28bo10bo
58bo10bo$52bo7boo$5b3o44boo8bo$5bo45bobo$6bo5$223bo$223bobo$223boo$
204bo$205bo28bo$203b3o28bobo$234boo$$38bo147bo$39bo147bo$37b3o145b3o$
41bo147bo$40bo134bo13bobo$40b3o77boo44boo8bo12boo9boo78boo$120boo45boo
5b3o23boo78boo$166bo4boo87bo4bo30bo4bo$170bobo85boob4oboo26boob4oboo$
172bo87bo4bo30bo4bo3$242bo$241boo$38bo160bobbo38bobo35bobbo$39bo157bob
obbobo31b3o38bobobbobo$37b3o158boobboo32bo41boobboo$16bobbo4bobbo13bo
12bobbo4bobbo30bobbo4bobbo26bobbo4bobbo30bobbo4bobbo26bobbo4bobbo11bo
18bobbo4bobbo26bobbo4bobbo$14b3obb6obb3o10bo11b3obb6obb3o26b3obb6obb3o
22b3obb6obb3o26b3obb6obb3o22b3obb6obb3o26b3obb6obb3o22b3obb6obb3o$16bo
bbo4bobbo12b3o11bobbo4bobbo30bobbo4bobbo12boo12bobbo4bobbo30bobbo4bobb
o12boo12bobbo4bobbo30bobbo4bobbo12boo12bobbo4bobbo$120boo78boo78boo4$
35bo10bo68bo10bo68bo10bo68bo10bo$35bo10bo68bo10bo68bo10bo68bo10bo$34bo
bo8bobo66bobo8bobo66bobo8bobo66bobo8bobo$35bo10bo68bo10bo68bo10bo68bo
10bo$35bo10bo68bo10bo68bo10bo68bo10bo$35bo10bo68bo10bo68bo10bo68bo10bo
$35bo10bo68bo10bo68bo10bo68bo10bo$34bobo8bobo66bobo8bobo66bobo8bobo66b
obo8bobo$35bo10bo68bo10bo68bo10bo68bo10bo$35bo10bo68bo10bo68bo10bo68bo
10bo!

(52p80 seems difficult, as I know of no way to side-shoot a fumarole spark first)
46p240 from 18 (functionally similar to 52p80):
x = 177, y = 110, rule = B3/S23
59boo48boo48boo3boo$54boo3boo43boo3boo43boo3boo3boo3boo$53bobbo46bobbo
46bobbo11bobbo$54boo48boo48boo13boo$17bo99bo$18bo97bo$8b3o5b3o97b3o5b
3o$10bo113bo$9bo7bo99bo7bo$17boo97boo$16bobo97bobo14$15bo$15bobo$11bo
3boo$12boo$11boo8bo$20boo$20bobo36boo3boo43boo3boo43boo3boo$59boo3boo
43boo3boo38boo3boo3boo$103boo48bobbo$102bobo49boo$104bo$106boo$106bobo
$106bo22$9boo3boo43boo3boo43boo3boo43boo3boo$4boo3boo3boo38boo3boo3boo
3boo33boo3boo3boo3boo33boo3boo3boo3boo$3bobbo13boo31bobbo11bobbo31bobb
o11bobbo31bobbo11bobbo$4boo14bobo31boo13boo33boo13boo33boo13boo$20bo$
17boo$16bobo$18bo$110booboo45booboo$109bobobobo44booboo$111bobo20$19b
oo3boo$14boo3boo3boo3boo$bo11bobbo11bobbo11bo$bbo11boo13boo11bo17bo3bo
45bo3bo45bo3bo$3o39b3o13booboboboo41booboboboo41booboboboo$57bo3bobo3b
o39bo3bobo3bo39bo3bobo3bo$56bo3booboo3bo37bo3booboo3bo37bo3booboo3bo$
16boo9boo27bobo7bobo37bobo7bobo37bobo7bobo$15bobobbooboobbobo27bo9bo
39bo9bo39bo9bo7bo$17bobbooboobbo147bo$60booboo45booboo45booboo9bobo$4b
3o31b3o18bobobobo43bobobobo7boo7bo26bobobobo9bo$6bo31bo21bo3bo45bo3bo
9boo5boo27bo3bo10bo$5bo33bo83bo7bobo41bo$175bo$174bobo$175bo$119boo54b
o$120boo6boo$119bo8bobo$128bo!

Loaflipflop from 20 (this one was the trickiest, but still fairly simple):
x = 174, y = 131, rule = B3/S23
56bo$55b3o3$55b3o$12bo$10bobo42bobo$11boo7boo33bobo$19boo$21bo33b3o$6b
o$7bo$5b3o47b3o$56bo$17b3o$17bo23bobboboobobbo$18bo21boobbo4bobboo$14b
oo25bobboboobobbo$14bobo$8bo5bo$7boo$7bobo19$16bo39bo39bo59bo$15b3o37b
3o37b3o57b3o3$15b3o37b3o37b3o57b3o$$15bobo37bobo37bobo57bobo$15bobo37b
obo37bobo57bobo$$15b3o37b3o37b3o57b3o3$15b3o37b3o37b3o57b3o$16bo39bo
39bo59bo$$bobboboobobbo28bobboboobobbo28bobboboobobbo48bobboboobobbo$
oobbo4bobboo7bo18boobbo4bobboo4bo21boobbo4bobboo4bo41boobbo4bobboo4bo$
bobboboobobbo7bo20bobboboobobbo4bobo21bobboboobobbo4bobo41bobboboobobb
o4bobo$17boob3o33bobbo36bobbo56bobbo$16bobo38boo38boo58boo$18bo4$158bo
$158bo$158bo$$94boo$93bobo$95bo$97b3o$97bo$98bo7$16bo39bo39bo59bo$15b
3o37b3o37b3o57b3o3$15b3o37b3o37b3o57b3o$$15bobo37bobo37bobo57bobo$15bo
bo37bobo37bobo57bobo$$15b3o37b3o37b3o57b3o3$15b3o37b3o37b3o57b3o$16bo
39bo39bo59bo$29bo$bobboboobobbo15bo12bobboboobobbo28bobboboobobbo30bo
17bobboboobobbo15boo$oobbo4bobboo4bo9b3o9boobbo4bobboo4bo21boobbo4bobb
oo4bo22boo17boobbo4bobboo3boo7bo4bo$bobboboobobbo4bobo21bobboboobobbo
4bobo21bobboboobobbo4bobo22boo3bo13bobboboobobbo3bobbo5bo6bo$16bobbo
11boo23bobbo36bobbo26bo29bobo5bo8bo$17boo12bobo23boo5b3o30boo5b3o19b3o
28bo6bo8bo$31bo132bo8bo$165bo6bo$166bo4bo$119bo48boo$18bo39bo39bo19boo
38b3o$18bo39bo39bo19bobo36bo3bo$18bo39bo39bo57bo5bo$$155bo7bo$155bo7bo
$$156bo5bo$58bo39bo58bo3bo$58bo39bo59b3o$58bo39bo15boo$113boo$14boo99b
o$13bobo$15bo$17b3o$17bo96boo$18bo94boo$115bo6$114boo$113boo$115bo!

EDIT: Caterer on 36P22 from 21:
x = 153, y = 68, rule = B3/S23
obo$boo$bo3$16bo$14bobo$15boo$3b3o$5bo21bo19bo19bo39bo39bo$4bo6bo4b3o
6bo3b4o12bo3b4o12bo3b4o32bo3b4o32bo3b4o$10boo4bo8bo3bo15bo3bo15bo3bo
35bo3bo35bo3bo$5bo4bobo4bo7bo19bo19bo39bo14boo23bo$5boo21bo19bo19bo39b
o12bo26bo$4bobo19boo18boo18boo12boo24boo13bobo22boo$81boo39boo$80bo3b
oo$9boo73bobo$8boo53boo19bo18boo38boo$10bo52bobo37bobo37bobo$41b3o21bo
39bo39bo$43bo21boo38boo38boo$42bo$46boo$42bobboo$42boo3bo$41bobo3$47b
oo$47bobo$47bo15$85bo$86boo$85boo$5bo21bo39bo39bo39bo$6bo18bo3b4o32bo
3b4o21bo10bo3b4o32bo3b4o$4b3o18bo3bo35bo3bo22bobo10bo3bo35bo3bo$oo6bo
16bo14boo23bo14boo11boo10bo14boo23bo$bo5bo20bo12bo26bo12bo26bo12bo26bo
$bobo3b3o16boo13bobo3boo17boo13bobo3boo17boo13bobo13b3o6boo$bboo38boo
3boo33boo3boo33boo3bo8bo3bo$126boboo6bo4bo$125bo4bo6boobo$23boo33boo3b
oo33boo3boo21bo3bo8bo3boo$17b3o3bobo32boo3bobo32boo3bobo21b3o13bobo$
19bo5bo39bo39bo39bo$18bo6boo38boo25boo11boo38boo$20b3o69bobo$20bo71bo$
21bo$100boo$99boo$101bo!
mniemiec
 
Posts: 844
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Postby 2718281828 » December 6th, 2017, 2:20 pm

mniemiec wrote:EDIT: Caterer on 36P22 from 21:
x = 153, y = 68, rule = B3/S23
obo$boo$bo3$16bo$14bobo$15boo$3b3o$5bo21bo19bo19bo39bo39bo$4bo6bo4b3o
6bo3b4o12bo3b4o12bo3b4o32bo3b4o32bo3b4o$10boo4bo8bo3bo15bo3bo15bo3bo
35bo3bo35bo3bo$5bo4bobo4bo7bo19bo19bo39bo14boo23bo$5boo21bo19bo19bo39b
o12bo26bo$4bobo19boo18boo18boo12boo24boo13bobo22boo$81boo39boo$80bo3b
oo$9boo73bobo$8boo53boo19bo18boo38boo$10bo52bobo37bobo37bobo$41b3o21bo
39bo39bo$43bo21boo38boo38boo$42bo$46boo$42bobboo$42boo3bo$41bobo3$47b
oo$47bobo$47bo15$85bo$86boo$85boo$5bo21bo39bo39bo39bo$6bo18bo3b4o32bo
3b4o21bo10bo3b4o32bo3b4o$4b3o18bo3bo35bo3bo22bobo10bo3bo35bo3bo$oo6bo
16bo14boo23bo14boo11boo10bo14boo23bo$bo5bo20bo12bo26bo12bo26bo12bo26bo
$bobo3b3o16boo13bobo3boo17boo13bobo3boo17boo13bobo13b3o6boo$bboo38boo
3boo33boo3boo33boo3bo8bo3bo$126boboo6bo4bo$125bo4bo6boobo$23boo33boo3b
oo33boo3boo21bo3bo8bo3boo$17b3o3bobo32boo3bobo32boo3bobo21b3o13bobo$
19bo5bo39bo39bo39bo$18bo6boo38boo25boo11boo38boo$20b3o69bobo$20bo71bo$
21bo$100boo$99boo$101bo!

small reduction of Caterer on 36P22 to 20 gliders, based on a reduction for the 36P22 which can be constructed using 11 gliders in this way:
x = 153, y = 70, rule = B3/S23
obo$b2o$bo3$16bo$14bobo$15b2o$3b3o$5bo21bo19bo19bo39bo39bo$4bo6bo4b3o
6bo3b4o12bo3b4o12bo3b4o32bo3b4o32bo3b4o$10b2o4bo8bo3bo15bo3bo15bo3bo
35bo3bo35bo3bo$5bo4bobo4bo7bo19bo19bo39bo14b2o23bo$5b2o21bo19bo19bo39b
o12bo26bo$4bobo19b2o18b2o18b2o12b2o24b2o13bobo22b2o$81b2o39b2o$80bo3b
2o$9b2o73bobo$8b2o53b2o19bo18b2o38b2o$10bo52bobo37bobo37bobo$41b3o21bo
39bo39bo$43bo21b2o38b2o38b2o$42bo$46b2o$42bo2b2o$42b2o3bo$41bobo3$47b
2o$47bobo$47bo15$85bo$86b2o$85b2o$27bo39bo39bo39bo$25bo3b4o32bo3b4o21b
o10bo3b4o32bo3b4o$25bo3bo35bo3bo22bobo10bo3bo35bo3bo$2o23bo14b2o23bo
14b2o11b2o10bo14b2o23bo$bo26bo12bo26bo12bo26bo12bo26bo$bobo22b2o13bobo
3b2o17b2o13bobo3b2o17b2o13bobo13b3o6b2o$2b2o38b2o3b2o33b2o3b2o33b2o3bo
8bo3bo$14bo111bob2o6bo4bo$15bo109bo4bo6b2obo$13b3o7b2o33b2o3b2o33b2o3b
2o21bo3bo8bo3b2o$23bobo32b2o3bobo32b2o3bobo21b3o13bobo$25bo39bo39bo39b
o$11b3o11b2o38b2o25b2o11b2o38b2o$11bo80bobo$12bo79bo2$100b2o$99b2o$2b
2o97bo$3b2o$2bo!
User avatar
2718281828
 
Posts: 30
Joined: August 8th, 2017, 5:38 pm

Re: Synthesising Oscillators

Postby mniemiec » December 6th, 2017, 3:52 pm

mniemiec wrote:EDIT: Caterer on 36P22 from 21: ...

2718281828 wrote:small reduction of Caterer on 36P22 to 20 gliders, based on a reduction for the 36P22 which can be constructed using 11 gliders in this way: ...

Nice. This also improves several others, e.g. 50p44 (w/mold), 50p88 (w/figure 8 ), 51p110 (w/pseudo barber pole)
(Note to site, which will be ignored: 8 followed immediately by a close parenthesis is not automatically a simley! This is math, not Facebook.)
mniemiec
 
Posts: 844
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Postby Apple Bottom » December 6th, 2017, 4:14 pm

mniemiec wrote:(Note to site, which will be ignored: 8 followed immediately by a close parenthesis is not automatically a simley! This is math, not Facebook.)


There is an option to "disable smilies" when posting:

8)
Living proof that a little knowledge is a dangerous thing.

Catagolue: Apple Bottom • Life Wiki: Apple Bottom • Twitter: @_AppleBottom_

Proud member of the Pattern Raiders!
User avatar
Apple Bottom
 
Posts: 761
Joined: July 27th, 2015, 2:06 pm

Re: Synthesising Oscillators

Postby mniemiec » December 6th, 2017, 6:18 pm

Apple Bottom wrote:There is an option to "disable smilies" when posting: 8)

When all else fails, read the instructions! :)
mniemiec
 
Posts: 844
Joined: June 1st, 2013, 12:00 am

Re: Synthesising Oscillators

Postby 2718281828 » December 7th, 2017, 10:48 am

mniemiec wrote:(52p80 seems difficult, as I know of no way to side-shoot a fumarole spark first)
I don't have a solution but
x = 46, y = 14, rule = B3/S23
18b2o6b2o$19bo6bo$5b2o12bo6bo12b2o$4bo2bo13b4o13bo2bo$5bobo30bobo$2bo
3bob2o26b2obo3bo$bobo3bo2bo24bo2bo3bobo$bo2bo3bobo8b2o4b2o8bobo3bo2bo$
2b2obo3bo9b2o4b2o9bo3bob2o$4bobo32bobo$4bo2bo30bo2bo$5b2o32b2o$22b2o$
22b2o!
might be the first step - the middle part (essentially two century methuselahs after a few steps) seems feasible to get from glider collisions.
[full soup: https://catagolue.appspot.com/hashsoup/ ... 4266/b3s23]
User avatar
2718281828
 
Posts: 30
Joined: August 8th, 2017, 5:38 pm

Re: Synthesising Oscillators

Postby chris_c » December 7th, 2017, 11:56 am

2718281828 wrote:
mniemiec wrote:(52p80 seems difficult, as I know of no way to side-shoot a fumarole spark first)
I don't have a solution but
rle...
might be the first step - the middle part (essentially two century methuselahs after a few steps) seems feasible to get from glider collisions.
[full soup: https://catagolue.appspot.com/hashsoup/ ... 4266/b3s23]


This works although I'm sure it can be improved:

x = 60, y = 24, rule = B3/S23
2bo54bo$obo19bo14bo19bobo$b2o17bobo14bobo17b2o$21b2o14b2o3$22bo14bo$
23bo2b3o2b3o2bo$21b3o12b3o7$16bo26bo$15bobo24bobo$15bobo8b2o4b2o8bobo$
16bo9b2o4b2o9bo4$29b2o$29b2o!
chris_c
 
Posts: 752
Joined: June 28th, 2014, 7:15 am

Re: Synthesising Oscillators

Postby mniemiec » December 7th, 2017, 8:09 pm

2718281828 wrote:I don't have a solution but ... might be the first step - the middle part (essentially two century methuselahs after a few steps) seems feasible to get from glider collisions. [full soup: https://catagolue.appspot.com/hashsoup/ ... 4266/b3s23]

chris_c wrote:This works although I'm sure it can be improved: ...

Congratulations, guys! This does, indeed, work for the P80, and will likely make several other similar P5n oscillators possible. (The synthesis is slightly fragile, in that some dying sparks reach the same line as the fumarole spark, so it could potentially interfere with the body of any oscillator this is placed near the corner of.)

EDIT: In particular, it does not work for Fumarole on Achim's p11; the synthesis would interfere with one of the stabilizing blocks three times before the fumarole forms.
mniemiec
 
Posts: 844
Joined: June 1st, 2013, 12:00 am

Previous

Return to Patterns

Who is online

Users browsing this forum: Google [Bot] and 7 guests