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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)
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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!
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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!
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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!
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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!
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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!
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