## Synthesising Oscillators

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

### Re: Synthesising Oscillators

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/S2317bo\$15bobo\$16b2o\$32bo\$32bobo\$32b2o3\$4bo\$5bo\$3b3o12bobo\$19b2o\$19bo2\$23bo\$24bo16bo\$22b3o2b2o11bo\$27bobo10b3o\$27bo6\$15bo\$3o10bobo\$2bo11b2o2b3o\$bo16bo\$19bo2\$23bo\$22b2o\$22bobo12b3o\$37bo\$38bo3\$9b2o\$8bobo\$10bo\$25b2o\$25bobo\$25bo!`
Ian07

Posts: 307
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

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

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

`x = 37, y = 33, rule = B3/S2326bobo\$26b2o\$27bo2\$12bo\$11bo\$11b3o17bobo\$31b2o\$32bo\$2bo\$obo\$b2o4\$8bobo16bo\$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!

Goldtiger997

Posts: 538
Joined: June 21st, 2016, 8:00 am
Location: 11.329903°N 142.199305°E

### Re: Synthesising Oscillators

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-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1297
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Synthesising Oscillators

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)
Ian07

Posts: 307
Joined: September 22nd, 2018, 8:48 am

### Re: Synthesising Oscillators

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/S23boo28boo18boo18boo\$obbo8bo17bobbo16bobbo16bobbo\$obo8boo17bobobo15bobobobb3o10bobobbo\$bo9bobo17bobo17bobo3bo13bo\$5b3o24bo19bo5bo13boobo\$7bo48bo17bo\$6bo44boo3boo\$50bobobbobo\$7boo43bo\$7bobo\$7bo8\$20bo\$19boo\$19bobo!`

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/S2359bo\$58bo\$58b3o4\$33bo\$34bo\$32b3o4bobo\$40boo\$40bo3\$22boo28boo\$bobo17bobbo26bobbo12bobo14bo\$bboo17bobbo26bobbo8bo3boo14bobo\$bbo19boo28boo8boo4bo14bobbo\$62bobo15boobo3bo\$boo77bobbobobo\$obo80boboo\$bbo80bo\$35b3o43bobo\$37bo43boo\$36bo\$49bo4boo\$49boo3bobo\$48bobo3bo4\$56b3o\$56bo\$57bo!`

EDIT: Another reduced from 36 to 17:
`x = 198, y = 83, rule = B3/S23121bo\$120bo\$120b3o31\$28bo49bo\$o26bobo47bobo\$boo24bobo47bobo\$oobbo23bo49bo\$4bobo87bo\$4boo86boo\$33boo48boo8boo\$32bobbo39bo6bobbo\$33boo41boo5boo\$75boo3\$67bo\$68boo\$67boo112bo\$179bobo\$180boo\$\$39b3o47b3o57bo29bo\$62bobo83bobo27bobo\$63boo83bobo27bobo\$6bo56bo69boo14bo13boo14bo13boo\$6boo63boo61bo29bo29bo\$5bobo57boo5boo11b3o46boboo26boboo26boboo\$10boo54boo3bo13bo45boobobo24boobobo24boobobo\$9boo54bo20bo44bobbobo8bo15bobbobo8bo15bobbobo\$11bo63bo58boboo6bobo17boboo6bobo17boboo\$75boo57bo8bobbo17bo8bobbo17bo\$74bobo55bobo9boo16bobo9boo16bobo\$132boo28boo28boo\$83b3o\$83bo\$79boo3bo\$78bobo\$80bo13\$44b3o\$46bo\$45bo!`
mniemiec

Posts: 1045
Joined: June 1st, 2013, 12:00 am

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