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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 Ian07 » August 9th, 2019, 11:03 pm

Merzenich's p64 in 14G: (the 3G for the active object was found by, you guessed it, synthesise-patt)
x = 43, y = 43, rule = B3/S23
17bo$15bobo$16b2o$32bo$32bobo$32b2o3$4bo$5bo$3b3o12bobo$19b2o$19bo2$
23bo$24bo16bo$22b3o2b2o11bo$27bobo10b3o$27bo6$15bo$3o10bobo$2bo11b2o2b
3o$bo16bo$19bo2$23bo$22b2o$22bobo12b3o$37bo$38bo3$9b2o$8bobo$10bo$25b
2o$25bobo$25bo!
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Re: Synthesising Oscillators

Postby Goldtiger997 » August 10th, 2019, 3:09 am

Ian07 wrote:Merzenich's p64 in 14G:...


Reduced to 10G using popseq, synthesise-patt and some trickery:

x = 37, y = 33, rule = B3/S23
26bobo$26b2o$27bo2$12bo$11bo$11b3o17bobo$31b2o$32bo$2bo$obo$b2o4$8bobo
16bo$9b2o15b2o$9bo16bobo4$34b2o$34bobo$34bo$4bo$4b2o$3bobo17b3o$25bo$
24bo2$9bo$9b2o$8bobo!


Ian07 wrote:(the 3G for the active object was found by, you guessed it, synthesise-patt)]


Glad to see my script is being this useful!
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Re: Synthesising Oscillators

Postby Hdjensofjfnen » August 10th, 2019, 5:09 pm

Goldtiger997 wrote:
Ian07 wrote:(the 3G for the active object was found by, you guessed it, synthesise-patt)]


Glad to see my script is being this useful!

Where can you get copies of this script?
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Synthesising Oscillators

Postby Ian07 » August 10th, 2019, 6:09 pm

Hdjensofjfnen wrote:Where can you get copies of this script?

Here: https://github.com/dvgrn/b3s23life/tree ... esise-patt (it's a Python script for Golly)
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Re: Synthesising Oscillators

Postby mniemiec » Today, 3:22 am

I've been looking through Catagolue to see if it has any syntheses for oscillators in my collection that are >= 1 glider/bit. It has removed most of the P4s from my list (except for the few I haven't had time to examine yet). I did notice that it's using a sub-optimal mold converter; the one below is cheaper.
x = 76, y = 21, rule = B3/S23
boo28boo18boo18boo$obbo8bo17bobbo16bobbo16bobbo$obo8boo17bobobo15bobob
obb3o10bobobbo$bo9bobo17bobo17bobo3bo13bo$5b3o24bo19bo5bo13boobo$7bo
48bo17bo$6bo44boo3boo$50bobobbobo$7boo43bo$7bobo$7bo8$20bo$19boo$19bob
o!

One 21-bit cuphook had a 77-glider synthesis, but Catagolue doesn't list it. Fortunately, it has a soup that reduces this to 11. It might be possible to reduce this by one or two by using a 3-glider pond+bit spark above, and/or a less obtrusive 3-glider wing to allow a 2-glider bit-spark on the left.
x = 88, y = 33, rule = B3/S23
59bo$58bo$58b3o4$33bo$34bo$32b3o4bobo$40boo$40bo3$22boo28boo$bobo17bo
bbo26bobbo12bobo14bo$bboo17bobbo26bobbo8bo3boo14bobo$bbo19boo28boo8boo
4bo14bobbo$62bobo15boobo3bo$boo77bobbobobo$obo80boboo$bbo80bo$35b3o43b
obo$37bo43boo$36bo$49bo4boo$49boo3bobo$48bobo3bo4$56b3o$56bo$57bo!

EDIT: Another reduced from 36 to 17:
x = 198, y = 83, rule = B3/S23
121bo$120bo$120b3o31$28bo49bo$o26bobo47bobo$boo24bobo47bobo$oobbo23bo
49bo$4bobo87bo$4boo86boo$33boo48boo8boo$32bobbo39bo6bobbo$33boo41boo5b
oo$75boo3$67bo$68boo$67boo112bo$179bobo$180boo$$39b3o47b3o57bo29bo$62b
obo83bobo27bobo$63boo83bobo27bobo$6bo56bo69boo14bo13boo14bo13boo$6boo
63boo61bo29bo29bo$5bobo57boo5boo11b3o46boboo26boboo26boboo$10boo54boo
3bo13bo45boobobo24boobobo24boobobo$9boo54bo20bo44bobbobo8bo15bobbobo8b
o15bobbobo$11bo63bo58boboo6bobo17boboo6bobo17boboo$75boo57bo8bobbo17bo
8bobbo17bo$74bobo55bobo9boo16bobo9boo16bobo$132boo28boo28boo$83b3o$83b
o$79boo3bo$78bobo$80bo13$44b3o$46bo$45bo!
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