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Synthesising Oscillators

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Re: Synthesising Oscillators

Posted: October 1st, 2014, 11:59 am
by wildmyron
dvgrn wrote:...
Or maybe it would be worth compiling a list of the remaining unknown 18-bit still lifes (for example) using apgsearch's encoding system? Something to think about if there's ever a centralized soup-search server to run queries against, anyway.
Attached is a list of the numbered still life remaining in the stamp collection with their canonical representation using the notation from apgsearch. I'd appreciate if someone did a spot check, but I believe I got the correspondence right. I've assumed that all except #767 fit in a 15x10 bounding box. I'd like to include the sof representation too, but I've been doing those manually up until now. Is there a script for that somewhere?

Re: Synthesising Oscillators

Posted: October 1st, 2014, 1:05 pm
by dvgrn
wildmyron wrote:Attached is a list of the numbered still life remaining in the stamp collection with their canonical representation using the notation from apgsearch. I'd appreciate if someone did a spot check, but I believe I got the correspondence right.
Nicely done! Yes, I checked every fiftieth still life (line number 1+50N, N=0..6 in the text file) and they were all correct. So... are you plotting now to make a script to look through all the search*.txt files in an apgsearch progress folder to see if any of these objects are in there -- or shall I do that?

Unfortunately until apgsearch is updated to save soup IDs for rare still lifes in progress/search*.txt, we'll have to re-run the search with the @ROOT and @NUM_SOUPS information to find the actual soup. I suppose that's a hint that I should be doing lots of million-soup runs instead of a few 50M soup runs...!
wildmyron wrote:I've assumed that all except #767 fit in a 15x10 bounding box. I'd like to include the sof representation too, but I've been doing those manually up until now. Is there a script for that somewhere?
I've only ever written a script to go in the other direction, from SOF to RLE. Koenig's code wouldn't be very Golly-compatible, so it's probably simpler just to start with the SOF spec and write a quick RLE-to-SOF or cell-list-to-SOF converter.

Probably it's worth running a good sample of HK's Object Database through a double conversion, SOF-to-RLE-to-SOF, just to make sure there are no tricky little details getting missed. There are a few subtle points, like the proper way to code multiline gaps in SOF and how to find the SOF canonical format (is it just lexicographical sort order? I forget).

My memory is now very vague, but I think there's at least one detail of the spec that is not in fact implemented in whatever code produced the Object Database. Maybe it was the multiline-gap encoding...? I can go back and check later this week if anyone is interested. Why the interest in representing things in SOF, exactly? Just to be able to do a quick lookup on pentadecathlon.com?

EDIT: P.S. This discussion doesn't belong under the now-14-page "Synthesising Oscillators" thread any more than the 17-bit still life discussion did. I hereby nominate Extrementhusiast to start another new thread (yes, I'm trying again to avoid getting stuck updating the stamp collection in the first post...!)

Re: Synthesising Oscillators

Posted: October 1st, 2014, 9:37 pm
by Extrementhusiast
I have SL18-v3.zip ready, but "the board attachment quota has been reached".

Re: Synthesising Oscillators

Posted: October 2nd, 2014, 2:15 am
by wildmyron
dvgrn wrote:
wildmyron wrote:Attached is a list of the numbered still life remaining in the stamp collection with their canonical representation using the notation from apgsearch. I'd appreciate if someone did a spot check, but I believe I got the correspondence right.
Nicely done! Yes, I checked every fiftieth still life (line number 1+50N, N=0..6 in the text file) and they were all correct. So... are you plotting now to make a script to look through all the search*.txt files in an apgsearch progress folder to see if any of these objects are in there -- or shall I do that?
Thanks for checking. It's unlikely I'll get to this soon, but if you haven't I'll probably give it a go next week. My knowledge of Python is sufficient to know that there's an elegant, simple way to process the text files, but not what that way is!
dvgrn wrote:Unfortunately until apgsearch is updated to save soup IDs for rare still lifes in progress/search*.txt, we'll have to re-run the search with the @ROOT and @NUM_SOUPS information to find the actual soup. I suppose that's a hint that I should be doing lots of million-soup runs instead of a few 50M soup runs...!
I also added an @RULE line to the header in my derivatives of apgsearch to identify the rule used for the search.
dvgrn wrote:
wildmyron wrote:I've assumed that all except #767 fit in a 15x10 bounding box. I'd like to include the sof representation too, but I've been doing those manually up until now. Is there a script for that somewhere?
I've only ever written a script to go in the other direction, from SOF to RLE. Koenig's code wouldn't be very Golly-compatible, so it's probably simpler just to start with the SOF spec and write a quick RLE-to-SOF or cell-list-to-SOF converter.

Probably it's worth running a good sample of HK's Object Database through a double conversion, SOF-to-RLE-to-SOF, just to make sure there are no tricky little details getting missed. There are a few subtle points, like the proper way to code multiline gaps in SOF and how to find the SOF canonical format (is it just lexicographical sort order? I forget).

My memory is now very vague, but I think there's at least one detail of the spec that is not in fact implemented in whatever code produced the Object Database. Maybe it was the multiline-gap encoding...? I can go back and check later this week if anyone is interested. Why the interest in representing things in SOF, exactly? Just to be able to do a quick lookup on pentadecathlon.com?
Indeed, I have been manually determining SOF to be able to lookup objects on pentadecathlon.com
Most useful references I found were:
http://conwaylife.com/wiki/SOF (For some reason I found this to be clearer than the description on pentadecathlon.com),
http://pentadecathlon.com/objects/defin ... comparison , and
http://pentadecathlon.com/objects/defin ... p#standard
I think there are a few typos on that page, but it's clear enough
The multiline-gap encoding is indeed not implemented in the database on pentadecathlon.com
Probably not an issue for decoding and encoding, only an issue for the equivalence check you suggest.
BTW, sorting is only lexicographical for specific cases. Bounding box, cell count and spaceship direction are also used as explained on linked page.
dvgrn wrote:EDIT: P.S. This discussion doesn't belong under the now-14-page "Synthesising Oscillators" thread any more than the 17-bit still life discussion did. I hereby nominate Extrementhusiast to start another new thread (yes, I'm trying again to avoid getting stuck updating the stamp collection in the first post...!)
Apologies for further polluting this thread.

Re: Synthesising Oscillators

Posted: October 2nd, 2014, 7:31 pm
by Extrementhusiast
Version III of the 18-bit syntheses:
SL18-v3.zip
(125.05 KiB) Downloaded 941 times
I know there are inconsistencies in the way I synthesize things; please look through these and find where I used an older method of mine instead of a newer method, or if there's a previously-existing component that already fits the bill. Thanks! (Please post the improvements to the 18-bit SL Syntheses thread.)

Re: Synthesising Oscillators

Posted: October 2nd, 2014, 10:00 pm
by dvgrn
wildmyron wrote:It's unlikely I'll get to this soon, but if you haven't I'll probably give it a go next week. My knowledge of Python is sufficient to know that there's an elegant, simple way to process the text files, but not what that way is!
Hmm. Elegance isn't really my strong suit either, but I should be able to manage something simple and ugly, anyway. I'll be happy to tackle that if you can re-run your existing conversion script against the new index pattern that Extrementhusiast has just posted.
wildmyron wrote:I also added an @RULE line to the header in my derivatives of apgsearch to identify the rule used for the search.
A very good idea -- I didn't think of that (because of my obsessive focus on B3/S23). Might be worth posting the actual code in the apgsearch thread by way of feature request, since it's still officially in beta status.

EDIT: Something like this should do the trick -- v1.1 is now patched up to report the search parameters needed to re-run the search.

apgsearch-object-finder-18bit.py:
just copy to clipboard and run using Golly's File > Run Clipboard
(fair warning: this script impolitely clobbers clipboard contents)

Code: Select all

# apgsearch-object-finder-18bit.py, version 1.11d
# change for 1.11d, 10 October 2014: remove #177, #243, #336, #349, #369, #433, #490, #574, #682, #718, #737, #743
# change for 1.11c, 8 October 2014:  remove #217, #291, #342, #494, #580
# change for 1.11b:  remove #103, #116, #111, #139-141, #198, #511
# change list for 1.1: 
#     - reduced list according to latest index file:
#          http://conwaylife.com/forums/viewtopic.php?f=2&t=1467#p13615
#     - report seed value and search length from file in which match was found
import glob, os, golly as g

# testlist=[[100,"32138f1c84c"],[999,"xs15_259e0e93"]]
testlist =[[102,"xs18_69arhar"],[107,"xs18_69argbr"],[114,"xs18_32qjap56"],[117,"xs18_3pm44djo"],[133,"xs18_0dbgzamgb6"],[134,"xs18_0dbgzamgf2"],[135,"xs18_0dbgz6agna"],[136,"xs18_0dbgz2egna"],[142,"xs18_cahdazmq1"],[154,"xs18_gbq1dqz1221"],[159,"xs18_69aj2arzx11"],[163,"xs18_ck0fharzw11"],[164,"xs18_ck0v1qrzw1"],[168,"xs18_69n8bdzw23"],[180,"xs18_j5o6picz11"],[184,"xs18_5bo79cz321"],[185,"xs18_j9cgn96z11"],[186,"xs18_j9c0qmz1213"],[187,"xs18_69r8jdz32"],[188,"xs18_j9ajkcz123"],[192,"xs18_bdgdjoz023"],[196,"xs18_bt0gbdz1221"],[201,"xs18_0dj8brz321"],[203,"xs18_db0gbdz3121"],[204,"xs18_ci6o6piczw1"],[216,"xs18_69m4pb8ozx1"],[219,"xs18_69ajkcz253"],[220,"xs18_8ehikoz3146"],[228,"xs18_32q4lb8ozx11"],[231,"xs18_o4q9jq23z01"],[245,"xs18_3lkaiczw346"],[247,"xs18_3p6kicz643"],[248,"xs18_3lkaicz643"],[257,"xs18_cikm9jzx65"],[259,"xs18_cik6p3z6421"],[275,"xs18_jhe0dbz56"],[278,"xs18_8ka2jap3zw11"],[281,"xs18_0mkiarz1243"],[282,"xs18_oid9icz6221"],[293,"xs18_0j9ak8z1259c"],[294,"xs18_gil68oz1wbd"],[318,"xs18_25t2koz0db"],[319,"xs18_2ld2kozwdb"],[321,"xs18_2ld2koz34a4"],[326,"xs18_035s26z69611"],[346,"xs18_g88bbgzc9311"],[347,"xs18_g88c9jzc9311"],[348,"xs18_g88c9jz011dd"],[351,"xs18_j9c88gz1ad11"],[353,"xs18_0o4q9jzdbw1"],[365,"xs18_0gbdz1qm113"],[366,"xs18_0at1aczmq1"],[367,"xs18_0at1e8zmq1"],[368,"xs18_gg0gbdz110nq"],[385,"xs18_8k9baaczw123"],[391,"xs18_ci9n84ozx321"],[404,"xs18_ci9eg6qzx121"],[405,"xs18_4a5pajozw23"],[408,"xs18_4a9egmqzx32"],[415,"xs18_4a5pajoz032"],[419,"xs18_0q6gdbgz110121"],[424,"xs18_4ap3q96zw121"],[429,"xs18_6icgn96z23"],[440,"xs18_0j9m4icz32011"],[443,"xs18_0cik6p3z32101"],[455,"xs18_32qb1acz321"],[456,"xs18_32qb2acz321"],[461,"xs18_64pb2acz321"],[492,"xs18_178r9icz032"],[495,"xs18_39q3pa4zw121"],[497,"xs18_ca9d2koz33"],[502,"xs18_8k4baik8zw113"],[508,"xs18_8ka9la8ozw121"],[519,"xs18_4alla8ozw65"],[521,"xs18_4air4k8z06421"],[528,"xs18_c88r2qkz065"],[537,"xs18_ckgv18ozx65"],[547,"xs18_8kkm9iczx56"],[549,"xs18_g8o6picz1243"],[551,"xs18_4a5p64kozw32"],[552,"xs18_cidicggzx343"],[553,"xs18_0o4idicz11074"],[554,"xs18_8k8alla4zw23"],[556,"xs18_8kkm9iczx146"],[573,"xs18_25a8idiczx23"],[576,"xs18_642t2kozw643"],[577,"xs18_642t2sgzw643"],[578,"xs18_8ka9d2koz023"],[582,"xs18_0o4pb8oz3146"],[583,"xs18_6ik5b8oz056"],[585,"xs18_ciarzw65033"],[594,"xs18_8ehaczw12553"],[595,"xs18_628q596z2521"],[598,"xs18_695q48cz2521"],[608,"xs18_0gbhqb8oz23"],[613,"xs18_3iajkk8zw56"],[627,"xs18_0cahd2koz321"],[629,"xs18_0ci9b4koz321"],[631,"xs18_0ci9d2koz321"],[634,"xs18_0cikm853z321"],[650,"xs18_31km2koz643"],[651,"xs18_31km4koz643"],[652,"xs18_312jaa4z6511"],[656,"xs18_3586p2sgzx23"],[667,"xs18_og4q596z6221"],[673,"xs18_0g88bl8z1ad11"],[675,"xs18_g8id2koz1248c"],[678,"xs18_4a512koz0ca23"],[679,"xs18_0g3hik8z345d"],[691,"xs18_8ka9jzw11696"],[707,"xs18_3146kk8zca23"],[721,"xs18_o4a512koz01246"],[726,"xs18_g8kit246z056"],[729,"xs18_4ai3s4zx12552"],[733,"xs18_4aak5jzx11074"],[736,"xs18_o8al5izx11074"],[745,"xs18_g8kim853z056"],[748,"xs18_0o4im853z643"],[749,"xs18_0o4iq453z643"],[750,"xs18_0o4it246z643"],[752,"xs18_31e8gka4zw643"],[755,"xs18_g8ge12koz1248c"],[756,"xs18_8kih3wkczx3421"],[757,"xs18_69m88gzx11696"]]

dirname = g.getdir("data")
separator = dirname[-1]
progresspath = dirname + "apgsearch" + separator + "progress" + separator
if not os.path.exists(progresspath):
  g.exit("apgsearch progress folder not found -- nothing to search.")

fnlist=glob.glob(progresspath+"*.txt")
out, count = "", 0
for fn in fnlist:
  all = open(fn, 'r').read()
  for item in testlist:
    g.show(str(item[0])+" "+fn)
    if all.find("\n"+item[1]+" ")>-1:
      out+="Object #"+str(item[0])+" [ "+item[1]+" ] found in search " \
           + all[all.index("ROOT"):all.index("@NUM_OBJECTS")-1].replace("\n@"," ") \
           + "   [ " + fn + " ]\n"
      count+=1
g.note("Number of noteworthy 18-bit objects found: " + str(count) + "\n" + out)
g.setclipstr(out)
P.S. Not too surprisingly, no useful 18-bitters were found among the search reports on this computer -- I had just done a few small searches here. I've been doing multi-million-soup searches on a quad-core system at the University, though, so we'll see if anything turns up tomorrow...!

Re: Synthesising Oscillators

Posted: October 3rd, 2014, 11:10 am
by dvgrn
dvgrn wrote:...we'll see if anything turns up tomorrow...!

Something like this should do the trick -- v1.1 is now patched up to report the search parameters needed to re-run the search.
Oh, good -- this idea isn't entirely a wild-goose chase:

Code: Select all

Object #103 found in search ROOT 10Md NUM_SOUPS 10000000
Object #102 found in search ROOT 50Me NUM_SOUPS 50000000
Object #103 found in search ROOT 50Mf NUM_SOUPS 50000000
I'll locate the actual soups for these objects again over the weekend. I'm running my hacked version of apgsearch that saves soup numbers for all rare still lifes -- otherwise I'd have to make custom changes to the dictionary to assign a high point value to these objects. [EDIT: Well, no, I guess I wouldn't -- the unhacked script will still list the first occurrence in the census HTML, and there's probably only one soup for each of these anyway.

Come to think of it, I'll adjust my hacked script so that it writes all those soup numbers to the progress files; at the moment they're only in the census HTML, which is overwritten by the next run of apgsearch.

EDIT: First result:

Code: Select all

#C 18-bitter #103, xs18_69ar1qr, appears in 10Md6244786 
x = 16, y = 16, rule = B3/S23
o4bo2b2o2b3o$b2obo2b5o$2bo4bo2b3obo$2o3b4obobob2o$3b2obo2b3o$8o3b2o$5o
2bo2bob4o$ob2o5bobob3o$2o2bobobo3bob2o$2o2b2o2bo2bo2bo$3b2ob2ob3obobo$
2b2o2b3obo4bo$ob6o2b2o2b2o$2ob4o3bo2b2o$o2b5ob4o$b2o2b2obo2bobo!
There's certainly a recipe in there somewhere, and actually it looks as if it should be a fairly simple one -- pre-blinker plus a messy spark, possibly?

I'll collect the soup for #102 over the weekend -- it was in a longer run, so it will take a while. Further bulletins as events warrant.

Re: Synthesising Oscillators

Posted: November 16th, 2014, 3:51 pm
by Extrementhusiast
Major improvement to 17#136:

Code: Select all

x = 539, y = 47, rule = B3/S23
175bo$176bo$174b3o$66bo$67bo$65b3o85bo18bo211bo$152bo20b2o195bo12bo$5b
o146b3o17b2o20bo173bobo8bo3b3o$3bobo113bo30bo42bo171b2o2b2o7bo$4b2o
111bobo31bo23b2o7bo8b3o170b2o6b2o2b3o$118b2o29b3o22bobo2b2ob2o91bo89bo
9bo$121bobo52bo2b2o2b2o91b2o94b3o$121b2o65bobo84b2o95bo$122bo65b2o177b
2o$35bo34bo20bo33bobo27b2o27b2o3bo178b2o4b2o27b2o19b2o28b2o26b2o28b2o
19b2o$b2o2b2o6b2o15b2o2bobo28b2o2bobo19bobo19b2o2b2o2bo3b2o21b2o2b2o2b
o20b2o2b2o2bo29b2o2b2o35b2o2b2o22b2o2b2o34b2o41bo5bob3o24bo2bo17bo2bo
26bo2bo24bo2bo26bo2bo17bo2bo$bo2bobo6bobo14bo2bob2o4bo23bo2bob2o19b2o
20bo2bob4o4bo21bo2bob3o21bo2bob3o30bo2bob3o33bo2bob3o20bo2bob3o31bob3o
43b3o4bo24bob3o16bob3o25bob3o7bobo13bob3o25bob3o16bob3o$2b3o8bo17b3o7b
obo22b3o17bo27b3o32b3o26b3o7bo27b3o4bo33b3o4bo20b3o4bo28b3o4bo41bo4b3o
24b2o4bo14b2o4bo23b2o4bo6b2o13b2o4bo23b2o4bo14b2o4bo$6bo28b2o4b2o27b2o
13b2o31b4o4bo26b3o26b3o3bobo29b3o29bo8b3o14b2o9b3o28bo4b3o14bobobo23b
6o29b3o14bo3b3o23bo3b3o8bo12bo3b3o17bo5bo3b3o15bo2b3o$4b3o26b2obo31b2o
bo13bobo28b3o2bo3b2o24b3o2bo23b3o2bo2b2o28b3o29bobo6b3o15bobo5b5o30b6o
76b4o17b4o26b4o24b4o20b2o4b4o19b2o$3bo28bo2bo5bo25bo2bo4b2o38bo9bobo
22bo4b2o22bo4b2o31bo33b2o5bo20bo5bo79b3o4b2o24bo2bo102b2o$3b2o4b2ob2o
18b2o6b2o25b2o5bo2bo37b2o5bo27b2o27b2o10b2o24b2o39b2o26b2o34b2o40bo2bo
4b2o22bobo2bobo19b2o20bo7b2o28b2o28b2o$9b2ob2o26bobo31bo2bo43b2o67b2o
68bob2o24bob2o4bo25b2o43bo29b2o3b2o19b2o18bobo7bobo27b2o18bo8bobo$55bo
19b2o44bobo68bo56bo3b2o5b2obo24b2obo4bobo2bo61bo3bo76b2o8bo47b2o9bo$
53bobo14b2o46b2o130bob2o25b3o14b2o2b2o65bo30b2o27bo52bo21bobo$o15b2o
17b2o17b2o3bo9bo2bo44bobo111b2o15b3o3bo26bo18bobo61bobo30bobo22b2o2b2o
18b3o31b2o2b2o35b2o$b2o13bobo11b3ob2o24bo8bo2bo14b2o30bo111bobo46bo
118bo23b2obobo19bo30bobob2o36bobo$2o14bo15bo3bo21b3o9b2o14b2o6b2o124b
2o2b2o5bo190bo24bo14b3o20bo35bo$31bo56bo5bobo112b2o10b2obobo235bo$7b2o
50bo34bo115b2o8bo3bo198b2o38bo19b2o30b3o$2b3ob2o51b2o148bo72b3o138bobo
22b2o32bobo30bo$4bo3bo49bobo220bo2bo138bo23bobo34bo31bo$3bo280bo164bo
46b3o$284bo213bo$281bobo213bo3$75b3o$75bo$76bo$313bo$63b2o247b2o$64b2o
246bobo$63bo$77b2o$76b2o$78bo!
EDIT: Figured out that one grate-related synthesis:

Code: Select all

x = 57, y = 45, rule = B3/S23
26bo$25bo$25b3o13$15bo$obo12bobo12bo$b2o12b2o13bobo$bo28b2o$14bo$7bo7b
2o7b2o$8bo5b2o7bobo$6b3o14bo5bo$22b2o4bo4b3o$13bo4b2o8b3o2bo$5bo8bo3b
2o14bo$6b2o4b3o36bo$5b2o43bobo$17b2obo25b2obobobo$9b3o5bob2o25b2obobob
o$25b2o22bobobob2o$25b2o22bobobob2o$50bobo$51bo2$6b3o9bo$8bo8bobo$7bo
9bobo8b3o$18bo9bo$10bo18bo$10b2o$9bobo$30b3o$30bo$31bo!
EDIT 2: Improvement to one of the 16-bitters:

Code: Select all

x = 166, y = 36, rule = B3/S23
11bobo$11b2o$12bo$51bo77bo$11b3o38bo76bobo$11bo38b3o76b2o$12bo102bobo$
116b2o$116bo$30bo30bo51bo$30bobo27bo50bobo$30b2o28b3o49b2o2$63b2o$63bo
bo93b2o$50bo2b2o8bo22bo2b2o31bo2b2o32bo2b2o$50b4obo30b4o2bo29b4o2bo31b
3o2bo$55bo35b2o34b2o35b2o$52b3o33b3o18bo14b3o35b2o$52bo34bo2bo18b2o12b
o2bo34bobo$88b2o18bobo13b2o36bo2$92b2ob2o31b2ob2o$91bobobobo30b2ob2o$
93bobo$4bo$4b2o17b3o90bo$3bobo17bo31b3o58b2o$24bo30bo59bobo18b3o$44b3o
9bo72b2o5bo$46bo81b2o7bo$bo43bo84bo$b2o$obo53b3o$56bo$57bo!
Major improvement to 18#225 and similar SLs, found via the soup search:

Code: Select all

x = 17, y = 23, rule = B3/S23
14bo$14bobo$14b2o4$3bobo$4b2o$4bo$13bo$13bobo$13b2o2$4bo$5bo$3b3o2$b2o
11b2o$obo11bo$2bo9bobo$11bobo$11bo2b3o$10b2o4bo!

Re: Synthesising Oscillators

Posted: November 19th, 2014, 9:27 pm
by mniemiec
Extrementhusiast wrote:Improvement to one of the 16-bitters: ... Major improvement to 18#225 and similar SLs, found via the soup search: ...
These should both provide useful tools - especially the 5-gliders-to-tail!

Re: Synthesising Oscillators

Posted: November 22nd, 2014, 5:07 pm
by Extrementhusiast
Syntheses for ten of the unsolved pseudo-SLs:

Code: Select all

x = 452, y = 725, rule = B3/S23
20bo$18bobo$19b2o$50bo$50bobo$20bo29b2o$18bobo$19b2o4$62bobo$62b2o32bo
$63bo32bobo$96b2o3$27bo$25bobo$26b2o2b2o10b2ob2obo35b2ob2obo21b2ob2o$
29bo2bo8bobobob2o36bobob2o22bobobobo$30b2o9bo41bo27bo6b2o$42bo40b2o15b
o10b2o$43bobo39bob2o9b2o13bob2o$40bo3b2o39b2obo10b2o12b2obo$39bobo$39b
2o12b2o37b2o$52bo2bo37b2ob3o$53b2o2b2o33bo3bo$57bobo37bo$57bo6$24bo$
24b2o$23bobo2$27b2o$28b2o$27bo$33b2o$32bobo$34bo25$97b2o$96b3o$96b2obo
$97b3o$98bo320bo$417b2o$418b2o2$93bobo$94b2o312bo$94bo6bo102bo201bobo
4bo$100bo9bobo92bo201b2o2bobo8bo$100b3o3bo3b2o91b3o206b2o7bo$44bo60bo
5bo95bo82bo130b3o$43bo55bo5b3o99bobo80bobo$43b3o54bo106b2o81b2o136bo$
98b3o110bo70bobo142bo$211bobo69b2o126b2o14b3o$28bo17bo11bo31bo40bo28bo
32bo17b2o17bo41bo10bo20bo21bo22bo21bo39bo$28b3o14b2o11b3o29b3o38b3o26b
3o30b3o34b3o39b3o29b3o19b3o20b3o19b3o38b3o$31bob2o10bobo13bob2o28bob2o
37bob2ob2o22bob2ob2o26bob2ob2o30bob2ob2o35bob2ob2o25bob2ob2o15bob2ob2o
16bob2ob2o15bob2ob2o34bob2ob2o22b2ob2ob2o$30bo3bo25bo3bo27bo3bo6bo10bo
18bo3bob2o21bo3bobobo24bo3bobobo28bo3bobo35bo3bobo25bo3bobo15bo3bobo
16bo3bobo15bo3bobo10bobobo14bo4bo3bobo23bo3bobo$30b2obo26b2obo3bo8bobo
bo11b2obo3bo2bobo8b2o18b2obo25b2obo4bo10bobobo9b2obo4bo28b2obo3bo16bob
obo13b2obo3bo2b2o20b2obo2bo15b2obo2bo16b2obo2bo15b2obo2bo28bobo3b2obo
2bo4bobo17bobo3bo$34b3o5b3o19b4o28b4o3bo9bobo21b4o25b4o29b4o33b3o39b3o
2bo2bo23b2o20b2o21b2o20b2o30bobo6b2o5b2o17b2ob2ob2o$36bo5bo98bo2bo139b
obo123bobo13bo$43bo22b2o30b2o39bobo2bobo21b2o29b2o35b3o37b3o6bo22b4o
18b4o19b4o54bo$66b2o30bobo38b2o3b2o22b2o29bobo34bo2bo36bo2bo28bo3bo17b
o2bo18bo4bo3bo$99bo100bo36bobo38b2o31b2o39b2o2b2o2b2o40bo$143b2o93bo
63bo24b3o30bobo39b2o$107bo35bobo142b3o9bo3bo3b2o4b2o13bo22bo4bo43bobo$
34b2o70b2o35bo66b2o76bo16bobobo4bobo11bo3b2o18b2o3b2o53b2o$35b2o6b2o
61bobo101bobo63b2o11bo10bo4bo3bo4bo17bobo16bobo2bobo47b3o4b2o$34bo7b2o
166bo64b2o24b5o26bo75bo3bo$38b3o3bo227b2o3bo49b3o77bo$40bo153b2o77b2o
54bo98b2o$39bo155b2o75bo7b2o46bo30bo68bobo$194bo84b2o77b2o68bo$281bo
76bobo50b3o$410bo2bo$413bo$409bo3bo$413bo$410bobo33$27bobo3bobo3b2ob2o
17b2ob2o$28b2o4b2o3b2obobo17bobobo$28bo5bo10bo15bo5bo$31b2o13bo13bo7bo
$30bobo7b2o2bobo14b3o2bobo$32bo6bobo2b2o17bo2b2o$39b2o3$34bo7b2o$34b2o
6bobo$33bobo6bo51$28bo7bo$29b2o3b2o$28b2o5b2o$93bo9bo31bo9bo$94b2o5b2o
33b2o5b2o$93b2o7b2o31b2o7b2o$32bo$31bobo65bo39bo$19bo11bobo11bo20b2o3b
2ob2o3b2o19b2o5b2ob2o15b2ob2o5b2o17b2ob2o$20bo9b2ob2o9bo21bobobobobobo
bobo18b2o2b2obobobobob2o10bobobobob2o2b2o15bobobobo$18b3o8bo5bo8b3o21b
obo5bobo24b2obo5bob2o10bo5bob2o19bo5bo$22b3o5b2ob2o5b3o24b2obobobobob
2o26bo5bo14bo4bo23bo3bo$24bo6bobo6bo30b2ob2o30bobobobo15bobobo24bobo$
23bo7bobo7bo19b2o21b2o17b2o2b2ob2o15b2ob2o2b2o20b2ob2o$32bo29b2o19b2o
17bobo29bobo$61bo23bo18bo29bo$19b3o21b3o60b2o23b2o$21bo21bo62bobo21bob
o$20bo7b2o5b2o7bo23b2o5b3o28bo25bo$29b2o3b2o33b2o4bo$28bo7bo31bo7bo2$
74b2o$68b2o5b2o$67bobo4bo$69bo9$59b2o$58bobo$60bo48$24bo7bo$25b2o3b2o$
24b2o5b2o$124bo9bo29bo$125b2o5b2o28bobo$124b2o7b2o28b2o$28bo137bo$27bo
bo100bo35bobo$15bo11bobo11bo20b2o3b2ob2o3b2o21b2ob2o28b2o5b2ob2o16b2ob
2o2b2o20b2ob2o$16bo9b2ob2o9bo21bobobobobobobobo17b2obobobobob2o23b2o2b
2obobobobo14bobobobo22bobobo$14b3o8bo5bo8b3o21bobo5bobo19b2obo5bob2o
27b2obo5bo14bo5bo22bo4bo$18b3o5b2ob2o5b3o24b2obobobobob2o21bo5bo9bobob
o19bo5bob2o12bo4bob2o20bo4bo$20bo6bobo6bo30b2ob2o25bobobobo33bobobobob
2o13bobobob2o2b2o17bobobo$19bo7bobo7bo19b2o21b2o16b2ob2o31b2o2b2ob2o
16b2ob2o5b2o17b2ob2o$28bo29b2o19b2o52bobo35bo$57bo23bo53bo$15b3o21b3o
95b2o28b2o7b2o$17bo21bo97bobo28b2o5b2o$16bo7b2o5b2o7bo23b2o5b3o63bo29b
o9bo$25b2o3b2o33b2o4bo$24bo7bo31bo7bo2$70b2o$64b2o5b2o$63bobo4bo$65bo
9$55b2o$54bobo$56bo47$45bo$45bobo$45b2o$15bo$13bobo$14b2o29bo$45bobo$
45b2o4$bobo$2b2o$2bo4$38bo$38bobo$17bob2ob2o10b2o2b2o33bob2ob2o$17b2ob
obobo8bo2bo36b2obobo$24bo9b2o44bo$23bo55b2o$20bobo52b2obo$20b2o3bo49bo
b2o$24bobo$11b2o12b2o$10bo2bo$7b2o2b2o$6bobo$8bo6$41bo$40b2o$40bobo2$
37b2o$36b2o$38bo$31b2o$31bobo$31bo54$9bo$10bo$8b3o$17b2o2bo32b2o2bo$
17bo3b3o30bo3b3o$18bo5bo30bo5bo$19bo3bo32bo3bo$7bo12bobo34bobo$7b2o10b
2ob2o8bo22bobob2o$6bobo22bo23b2o$31b3o$18bob2o$9b3o6b2o2bo$11bo9b2o15b
o$10bo26bo$37b3o$33b3o$33bo$34bo3$25b3o$25bo$15bo10bo$14b3o$13b2obo$
13b3o$14b2o7$33b3o$33bo$34bo48$27bo$28b2o$27b2o5bo$24bo9bobo$22bobo9b
2o$23b2o2$10b2o$9b4o$9b2ob2o$11b2o2$24b2o5b2o16b2o2b2o$24bo3bobo2bo15b
o2bo2bo$25bo2b2o2bobo15b2o2bobo$23bobo7bo21bo$23b2o3b2o20b2o$28bobobo
17bobobo$31b2o20b2o$14b2o$13bobo$15bo4$26b2o$26bobo$b2o16b2o5bo$obo15b
obo$2bo17bo2$21b2o$21bobo$21bo32$89b2o$88b3o$88b2obo$89b3o$90bo4$85bob
o$86b2o$86bo6bo102bo$92bo9bobo92bo$92b3o3bo3b2o91b3o$36bo60bo5bo95bo
82bo$35bo55bo5b3o99bobo80bobo$35b3o54bo106b2o81b2o$90b3o110bo70bobo$
203bobo69b2o$20bo17bo11bo31bo40bo28bo32bo17b2o17bo41bo10bo20bo21bo22bo
21bo$20b3o14b2o11b3o29b3o38b3o26b3o30b3o34b3o39b3o29b3o19b3o20b3o19b3o
$23bob2o10bobo13bob2o28bob2o37bob2ob2o22bob2ob2o26bob2ob2o30bob2ob2o
35bob2ob2o25bob2ob2o15bob2ob2o16bob2ob2o15bob2ob2o$22bo3bo25bo3bo27bo
3bo6bo10bo18bo3bob2o21bo3bobobo24bo3bobobo28bo3bobo35bo3bobo25bo3bobo
15bo3bobo16bo3bobo15bo3bobo$22b2obo26b2obo3bo8bobobo11b2obo3bo2bobo8b
2o18b2obo25b2obo4bo10bobobo9b2obo4bo28b2obo3bo16bobobo13b2obo3bo2b2o
20b2obo2bo15b2obo2bo16b2obo2bo15b2obo2bo$26b3o5b3o19b4o28b4o3bo9bobo
21b4o25b4o29b4o33b3o39b3o2bo2bo23b2o20b2o21b2o20b2o$28bo5bo98bo2bo139b
obo$35bo22b2o30b2o39bobo2bobo21b2o29b2o35b3o37b3o6bo22b4o18b4o19b4o$
58b2o30bobo38b2o3b2o22b2o29bobo34bo2bo36bo2bo28bo3bo17bo2bo18bo4bo3bo$
91bo100bo36bobo38b2o31b2o39b2o2b2o2b2o$135b2o93bo63bo24b3o30bobo$99bo
35bobo142b3o9bo3bo3b2o4b2o13bo22bo4bo$26b2o70b2o35bo66b2o76bo16bobobo
4bobo11bo3b2o18b2o3b2o$27b2o6b2o61bobo101bobo63b2o11bo10bo4bo3bo4bo17b
obo16bobo2bobo$26bo7b2o166bo64b2o24b5o26bo$30b3o3bo227b2o3bo49b3o$32bo
153b2o77b2o54bo$31bo155b2o75bo7b2o46bo30bo$186bo84b2o77b2o$273bo76bobo
25$76bobo$77b2o$77bo6$22bob2ob2o23bob2ob2o32bob2ob2o22bob2ob2o$22b2obo
bo24b2obobo33b2obobo23b2obobo$29bo29bo38bo28bo$28b2o28b2o37b2o27b2o$
56bo38bo27b2o$26b4o26b4o35b4o24bob3o$26bo2bo29bo38bo28bo$22b2o3b2o29bo
27b2o9bo$21bobo22b2o10b2o25bo2bo8b2o$23bo6bobo12bobo34b2o2b2o$30b2o15b
o33bobo$31bo17b2o32bo$49bobo$32b2o15bo$31bobo$33bo8$108b2o$108bobo$
108bo5$103b2o$103bobo$103bo!
EDIT: Four more:

Code: Select all

x = 312, y = 211, rule = B3/S23
95bo9bo$96b2o5b2o$95b2o7b2o12bo$116bo3bo$108bobo4bo$108b2o5bo4bo$109bo
5b5o$19bo25bo23bo20bobo8bo$18bobo23bobo21bobo20b2o7bobo$19bo25bo23bo
21bo9bo$28bo$17b5o5bo15b5o19b5o27b5o5bobo21b2o$16bo4bo5b3o12bo4bo18bo
4bo26bo4bo5b2o23bo4b2o$16bob2o22bob2o20bob2o28bob2o8bo23bob2o2bo$17bob
2o22bob2o20bob2o2bo25bob2o32bob2o$73bobo11b2o23bo$44b3o21b3o2b2o11bobo
11b2obo8bobo21b2obo$44bo2bo20bo2bo16bo11bob2o8b2o22bob2o$46b2o22bobo$
41bo9bo19bo2b2o35bo$14b2o9b2o15b2o5b2o23bobo33b2o$13bobo8b2o15b2o7b2o
22bo35bobo$15bo10bo43b2o$43bo27b2o$9b3o8bo22b2o25bo$11bo7b2o21bobo5b3o
$10bo8bobo30bo$51bo$17bo$17b2o$16bobo33$196bo$197bo$21bo143bo29b3o$19b
2o145bo32bo73bo$20b2o142b3o32bobo71bobo$199b2o72b2o$170bo$16bobo150bo$
7b2o7b2o15b2o20b2o9bo10b2o24b2o12bo11b2o26b2o10b3o17b2o23b2o4b2o13b2o
4b2o21b2o4b2o3bo10b2o17b2o$8bo8bo7bo8bo21bo8bo12bo25bo11bo13bo27bo31bo
14b3o7bo3bo2bo13bo3bobo22bo3bobo2bo12bo18bo$7bo16bo8bo21bo9b3o9bo15bo
9bo5b2o5b3o10bo5b2o20bo5b2o24bo5b2o8bo8bo4bob2o12bo4bo23bo4bo4b3o9bo4b
2o12bo4b2o$7b4o13b3o6b4ob2o15b4ob2o15b4ob2o3bobo3bobo7b4obobo18b4obobo
6bo13b4obobo9bo14b4obobo9bo7b4obo4b2o9b4ob2o8bo13b4ob2o15b4o2bo12b4o2b
o$10bo9b3o13bobo19bobobo17bobo4b2o4b2o11bobo10b2o11bobo7bo17bobo5b2o3b
o18bobo22bobo4bobo11bo11bobo14bo3bo17bobo16bobo$9bo10bo14bo2bobo4bo11b
o2bobo16bo2bo5bo16bo2bo10bobo9bo2bo3b3ob3o14bo2bo4bo2bo2b3o15bo2b2o20b
o2b2o3bo12bo2b2o4b2o2b2o14bo2b2o17bo2b2o14bo2b2o$9b2o10bo13b2o2b2o4bob
o9b2o2bo17b2ob2o6bo14b2ob2o9bo11b2ob2o23b2ob2o3bobo21b2obo21b2obo17b2o
bo4b2o6b2o11b2obo5b3o10b2obo5bo9b2o$45b2o35bo6b2o17bo25bo27bo5bo25bo
24bo20bo6bo5bobo13bo5bo15bo4bo$82bobo4bobo16bobo23bobo25bobo29bobo22bo
bo18bobo10bo15bobo4bo14bobo2b3o$16b2o24b3o16b3o19b2o24b2o24b2o26b2o30b
obo22bobo18bobo26bobo19bobo$16bobo23bo18bo134b2o23b2o19b2o27b2o20b2o$
16bo26bo14b2o2bo105b2o$7b2o48bobo107b2o$8b2o49bo109bo$7bo151b2o$160b2o
2bo$159bo3b2o$163bobo42$145bo$145bobo$145b2o4$5b2ob2o16b2ob2o19b2ob2o
22b2ob2o15b2ob2o28b2ob2o50b2ob2o$5bo3bo16bo3bo19bo3bo6bo15bo3bo15bo3bo
28bo3bo50bo3bo$6bobo18bobo21bobo7bobo14bobo17bobo30bobo52bobo$5b2ob2o
16b2ob2o19b2ob2o6b2o14b2ob4o13b2ob4o26b2ob4o3b2o43b2ob4o$64b2o17bo19bo
4b2o26bo2bo2bo8bo39bo$4bo5bo8bo6b2ob2o19b2ob2o3b2o4bobo10b2ob2o15b6o5b
obo11bo7b6o4b2o8b2o38bo$4b2o3b2o9b2o3bobobobo19bobo4bobo3bo13bobo16bo
2bo7bo11bobo7bo2bo16bobo37b2o$3bobo3bobo7b2o5bo3bo20bobo4bo19bobo24b2o
14b2o$52bo26bo7bo16bobo$22bobo57b2o2bo19bo16b3o$23b2o7bo49bobob3o36bo$
23bo7b2o43bo5bo41bo$31bobo42b2o67b2o$21b2o52bobo61b3o3bobo$22b2o115bo
5bo$21bo56b3o46b2o11bo$78bo47bobo$79bo48bo5$172b2o$172bobo$172bo20$62b
o$60bobo$61b2o4$95bo$93b2o$81bo12b2o$80bo$76bo3b3o$21bo55b2o7bo6bo$19b
2o46bo8b2o6b2o5b2o$20b2o43bobo17b2o5b2o$66b2o6bo$obo10bo58bobo$b2o8bob
o59b2o$bo10b2o$7bobo$8b2o9bo5b2o16bo5b2o18bo12bo5b2o17b2ob2o$8bo10b3o
3b2o10bo5b3o3b2o18b2o11b3o3b2o18bobo$4b3o15bo15bo2b2o3bo21bobo9b2o3bo
21bo3bo$6bo14b2o13b3obobo2b2o32bo2bob2o21b2ob2o$5bo16bob2o15bo4bob2o
30b2o3bob2o22bob2o$13bo8bo2bo20bo2bo35bo2bo22bo2bo$13b2o8b2o14bo7b2o
37b2o24b2o$12bobo24b2o$21bo16bobo$20b2o50b3o$20bobo51bo$73bo!
EDIT 2: The other three:

Code: Select all

x = 268, y = 160, rule = B3/S23
119bo115bo$117bobo113b2o$118b2o114b2o$93bo$94bo25bo$81bo10b3o3bo11bobo
7bobo95bo2bo$82b2o4bo7b2o13b2o7b2o100bo$50bo30b2o6b2o6b2o12bo54bo9bo
41bo3bo3bo16bo$48bobo37b2o25bo10bo40bo9bo41b4o4b2o12b2o$3o46b2o65b2o7b
o39b3o7b3o48b2o14b2o$2bo2bo14bo94b2o8b3o106b2o$bo2bo16b2o155bo54bo2bo$
4b3o13b2o90bo32b2o24b2o4bo55bo2bo$48bobo9bo26b2o21bobo30bo2bo23bo2bo3b
3o54b2o$24bobo3b2o17b2o5b2obobo25bobo21b2o30b3o25b3o$6bo18b2o4bo17bo6b
2obobo27bo40bo96b2o$5bobob2o14bo5bob2o24bobob2o23b2ob2o24b2ob2o7b2o12b
3o25b3o21b2ob2o26bo2bo4b2ob2o7b2o12bob2ob2o$6b2obobo18b2obobo23bobobob
o23bobobo13b2o9bobobo6bobo10bobobo23bobobo7b3o9bobobo21bo5bo2bo3bobobo
7b2o13b2obobo$12bo11b2o10bo23bo5bo22bo4bo11bobo9bo4bo18bo4bo22bo4bo6bo
11bo4bo21b2o4b2o4bo4bo8bo18bo$13bo9bobo11bo29bo20b2o5bo12bo8b2o5bo16b
2o5bo7bobobo8b2o5bo6bo9b2o5bo6bobobo8b2o10b2o5bo27bo$8b2o2b2o11bo6b2o
2b2o24b2o2b2o22b2o2b2o23b2o2b2o18b2o2b2o22b2o2b2o18b2o2b2o33b2o2b2o22b
2o2b2o$8bo2bo20bo2bo26bo2bo24bo2bo25bo2bo20bo2bo24bo2bo20bo2bo23bo11bo
2bo24bo2bo$10b2o22b2o28b2o26b2o27b2o22b2o26b2o22b2o23b2o12b2o26b2o$
221bobo$226bo$226b2o$52b3o170bobo$54bo$53bo164b2o15b2o$217bobo15bobo$
219bo15bo$227bo$226b3o$226bob2o$58bo168b3o$57b3o167b2o$56b2obo$56b3o$
57b2o26$44bo$32bobo9bobo$32b2o10b2o$33bo$4bo$5bo22bo$3b3o23b2o$28b2o2$
26bo33bo6bo$24bobo14b2o18bo3bobo$17bo7b2o13b2o17b3o4b2o$18bo2bo20bo$
16b3o3b2o44b2o$21b2o44bobo$67bo$66b2o$65bo$15bo15b2o9b3o20bo$16bo14bo
10bo23b2o$14b3o15b3ob2o5bo24bob2ob2o13bob2ob2o$34bobobo29b2obobobo12b
2obobobo$38bo36bo19bo$38b2o22bo12b2o18b2o$34bob2o24b2o7bob2o16bob2o$
20b3o11b2obo23bobo7b2obo16b2obo$22bo$21bo45b2o$66b2o$20bo41bo5bo$20b2o
40b2o$19bobo39bobo$28b3o$27bo2bo$30bo$30bo$27bobo31$34bo$27bo5bo82bobo
$28b2o3b3o81b2o$27b2o77bobo8bo$36b2o31b3o14bobo18b2o18bobo$2bobo31bobo
27bo2bo14bobobobo16bo5b2ob2o9b2o$3b2o31bo4bo25bo2bo14b2ob2o23b2ob2o10b
o$3bo9bo27bobo21b3o$9bo2bo28b2o$4bo2b2o3b3o75b2o26b2o$5bo2b2o55bo24bo
27bo9b2o$3b3o26bob2o23bob2obobo18bob2obo22bob2obo8b4o12bob2ob2o$32b2ob
o23b2obob2o19b2obob2o21b2obob2o6b2ob2o12b2obobo$45bo81b2o20bo$44b2o
104bo$7b2ob2o21b2ob2o6bobo13b2ob2o21b2ob2o23b2ob2o25b2ob3o$7bob2obob2o
17bob2obob2o18bob2obob2o17bob2obob2o13bo5bob2obob2o21bob2o$12bob2o22bo
b2o23bob2o22bob2o11bobo10bob2o$8b4o22b4o23b4o22b4o16b2o6b4o$8bo25bo26b
o25bo27bo$9b3o23b3o24b3o23b3o25b3o$11bo2b2o21bo2b2o22bo2b2o21bo2b2o23b
o2b2o$14b2o24b2o25b2o24b2o26b2o4bo$126b2o$126bobo$111b2o3bo$110bobo3b
2o14b3o$112bo2bobo14bo$133bo!
EDIT 3: Synthesis for 38P7.2:

Code: Select all

x = 388, y = 47, rule = B3/S23
369bo$368bo$368b3o$341bobo$342b2o$342bo2$40bo317bobo$41bo32bo43bo191bo
32bo6bo10bo$39b3o3bo26bobo44bo188bobo33b2o4bobo8bo$28bo6bo7b2o28b2o34b
obo5b3o64bo124b2o3bo28b2o5b2o6bo2bo$29b2o5b2o6b2o64b2o73bo126b2o45b3o$
28b2o5b2o73bo72b3o29bo97b2o31b2o7bo$80bo133bo72bo58bobo4b2o4bo$24bobo
51bobo27b2o7b2o67bobo25b3o71bo59bo5b2o2bo$25b2o52b2o28b2o5b2o68b2o98b
3o59b2o8b3o$25bo82bo9bo18b2o16b2o21b2o7bo17b2o27b2o6bo16b2o21b2o6bo25b
2o$2bo6bo25bo26b2o28b2o19b2o21bobo15bobo20bobo24bobo26bobo5bo16bobo20b
obo5bo25bobo33b2o25b2o$obo5bobo23bobo25bo29bo20bo22bo17bo6bo15bo26bo4b
2o22bo4bo2b3o14bo22bo7b3o23bo7b2o25bobo27bo5bo$b2o5bobo23bobo22b2obo
26b2obo17b2obo19b2obo14b2obo4b2o13b2obo5bo17b2obo4bobo18b2ob2o2bobo15b
2ob2o2b2o14b2ob2o2b2o25b2ob2o2b2o2b2o25bo7b2o19bo2b2o3bo$9bo3bo7bo13bo
3bo19bobo3bo18b2o3bobo3bo14bobo3bo16bobo3bo11bobo3bo2b2o12bobo3bobobo
16bobo3bobobo18bobo5bo2b3o11bobo5bo14bobo5bo25bobo5bo21bobo2b2ob2o2b2o
2b2o18bo3bo4bo$2bo7b4o7b2o5b2o6b4o13bobo6b4o17bo2bo5b4o17b4o19b4o14b4o
19b4ob2o20b4ob2o2b4o16b5o3bo16b5o18b5o29b5o23b2o2bobo5bo21bo2bo3bobo$
2b2o16bobo4bo2bo23b2o20bobo4bo2bo126bo3bo24bo24bo75bo6b5o23b4o$bobo6b
4o13bo2bo5b4o14bo7b4o11b2o5b2o6b4o17b4o19b4o14b4o19b4ob2o20b4ob2o2bo
19b5o20b5o3bo14b5o29b5o$9bo3bo14b2o5bo3bo21bo3bo11bo13bo3bo14bobo3bo
16bobo3bo11bobo3bo2b2o12bobo3bobobo16bobo3bobobo2bo2bo12bobo5bo16bobo
5bo2b3o9bobo5bo25bobo5bo22bo6b5o23b4o$8bobo23bobo16b2o5bobo27bobo17b2o
bo19b2obo14b2obo4b2o13b2obo5bo17b2obo4bobo18b2ob2o2bobo15b2ob2o2bobo
13b2ob2o2b2o25b2ob2o2b2o2b2o18b2o2bobo5bo21bo2bo3bobo$8bobo23bobo15bob
o5bobo27bobo20bo22bo17bo6bo15bo26bo4b2o22bo4bo19bo4bo2b3o12bo7b3o23bo
7b2o17bobo2b2ob2o2b2o2b2o18bo3bo4bo$9bo25bo18bo6bo29bo21b2o21b2o16bobo
20bobo24bobo26bobo22bobo5bo14bobo5bo25bobo32bo7b2o19bo2b2o3bo$81bo49bo
9bo13b2o21b2o7bo17b2o27b2o23b2o6bo14b2o6bo25b2o32bobo27bo5bo$81b2o49b
2o5b2o45b2o98b3o62b2o25b2o$80bobo48b2o7b2o44bobo25b3o71bo$214bo72bo60b
2o8b3o$84b2o5b2o40bo49b3o29bo97b2o33bo5b2o2bo$85b2o5b2o6b2o31b2o50bo
126b2o32bobo4b2o4bo$84bo6bo7b2o31bobo5b3o41bo124b2o3bo31b2o7bo$95b3o3b
o40bo165bobo48b3o$97bo43bo168bo32b2o5b2o6bo2bo$96bo247b2o4bobo8bo$343b
o6bo10bo$358bobo2$342bo$342b2o$341bobo$368b3o$368bo$369bo!

Re: Synthesising Oscillators

Posted: November 25th, 2014, 7:31 pm
by Sokwe
Extrementhusiast wrote:Synthesis for 38P7.2
Nice! I never would have guessed this could be synthesized before this, but now it seems so obvious. Here are a couple of very minor reductions that amount to 3 gliders in total:

Code: Select all

x = 68, y = 45, rule = B3/S23
55bo$56bo$54b3o4$64bobo$49bo6bo10bo$50b2o4bobo8bo$49b2o5b2o6bo2bo$65b
3o$52b2o7bo$52bobo4b2o4bo$9bobo42bo5b2o2bo$9b2o43b2o8b3o$10bo$57b2o$
16b2o38bobo$16bo39bo7b2o$13b2obo31bobo2b2ob2o2b2o2b2o$8b2o3bobo3bo29b
2o2bobo5bo$7bo2bo5b4o29bo6b5o$obo4bo2bo$b2o5b2o6b4o29bo6b5o$bo13bo3bo
29b2o2bobo5bo$14bobo31bobo2b2ob2o2b2o2b2o$14bobo39bo7b2o$15bo40bobo$5b
o51b2o$5b2o$4bobo47b2o8b3o$54bo5b2o2bo$8b2o5b2o35bobo4b2o4bo$9b2o5b2o
6b2o26b2o7bo$8bo6bo7b2o40b3o$19b3o3bo23b2o5b2o6bo2bo$21bo28b2o4bobo8bo
$20bo28bo6bo10bo$64bobo4$54b3o$56bo$55bo!

Re: Synthesising Oscillators

Posted: November 26th, 2014, 4:37 pm
by Extrementhusiast
Synthesis for Pentoad II:

Code: Select all

x = 65, y = 41, rule = B3/S23
28bobo$23bo4b2o$21b2o6bo$22b2o15bobo$33bo5b2o$11bo9bo11bobo4bo$9bobo
10bo10b2o$10b2o8b3o3$30bobo$30b2o$7b3o5b2obo12bo22b2o$9bo5bob2o35b2o$
8bo$55bo$16b2o4b2o30b2o$15bobo3bobo29bobo$15b2o4bo31b2o$22bo37bo$19b4o
34b4o$19bo37bo$20bo4b2o36b2o$18bobo3bobo35bobo$18b2o4b2o36b2o$62bo$33b
o$23b2obo5bo29b2o$10bo12bob2o5b3o27b2o$10b2o$9bobo3$19b3o8b2o$7b2o10bo
10bobo$bo4bobo11bo9bo$b2o5bo$obo15b2o$12bo6b2o$12b2o4bo$11bobo!
If it looks like it could come from a collection of still lifes, try that.

EDIT: This saves twenty-five gliders on 65P13.1:

Code: Select all

x = 41, y = 29, rule = B3/S23
13bo$13bobo$2bo10b2o$obo$b2o5bo$7bo$7b3o6$11b2o$11bobo$7bo3bo$7bo26b2o
b2o$7bo25bobobobo$33bobobobo$3b3o3b3o20b2obobob2o$35bobo$35bobo$36bo2$
10b2o$10bobo$10bo$6b3o$8bo$7bo!
Also realized how to save two gliders on a LOT of syntheses involving hats:

Code: Select all

x = 29, y = 11, rule = B3/S23
2bo$3b2o$2b2o$9bobo$4bo5b2o$4b2o4bo$3bobo$26bo$2o5bo3bo13bobo$b2o3bobo
bobo12bobo$o6b2ob2o12b2ob2o!
EDIT 2: Major improvement to 18#112 (and subsequently 18#111):

Code: Select all

x = 36, y = 21, rule = B3/S23
2bo$obo$b2o3$3o26b2ob2o$2bo7bo18b2obobo$bo8bobo3bo18bo$4b2o4b2o4bobo
10b5obo$3bo2bo9b2o11bo2bobo$3bo2bo6b2o$4b2o7bobo$13bo2$b2o5b3o$2b2o4bo
$bo7bo2$3bo$2b2o$2bobo!
EDIT 3: Improvement to 24P10:

Code: Select all

x = 167, y = 31, rule = B3/S23
131bobo$131b2o$113bo18bo$7bo106bo8bobo4bo$8b2o31bo70b3o9b2o5bo$7b2o33b
o36bo38bo5bo4b3o$40b3o35bobo36bobo$78bobo36bobo$22bobo12b3o34bo4bo38bo
13bobo$22b2o15bo32bobo57b2o$23bo14bo34b2o58bo$bo2b2o39bo2b2o26b2o4bo2b
2o21b3o5b2o3bo2b2o30b4o$obo2bo38bobo2bo25bobo3bobo2bo23bo5b2o2bobo2bo
29b2o$ob3o3bo35bob3o28bo3bob3o23bo10bob3o12b3o14bo8bo$bo6bo36bo6bo29bo
6bo31bo6bo8bo16bobo6b3o$2b3o3bo37b3o3b3o28b3o3b3o22bo7b3o3b3o7bo$4bo
43bo6bo29bo6bo22bo8bo6bo23b3o6bobo$52b3obo32b3obo3bo15b3o12b3obo10bo
13bo8bo$7b2o42bo2bobo31bo2bobo3bobo27bo2bobo2b2o5bo21b2o$7b2o42b2o2bo
32b2o2bo4b2o28b2o2bo3b2o5b3o16b4o$62bo37b2o17bo$61bo38bobo16b2o$14b2o
45b3o31bo4bo17bobo13bo$13b2o79bobo36bobo$15bo42b3o33bobo36bobo$11b2o
45bo36bo25b3o4bo5bo$10bobo46bo61bo5b2o9b3o$12bo9b3o97bo4bobo8bo$22bo
97bo18bo$23bo96b2o$119bobo!
EDIT 4: This solves one of the missing pseudo-P2s:

Code: Select all

x = 50, y = 38, rule = B3/S23
bo$2bo$3o4$6bo$7bo$5b3o3$13bobo$13b2o$14bo4$2b2ob2o35b2ob2o$bobobobo
33bobobo$o6bo14bo2bo14bo5bobo$b2o4bobo11bo19b2o6bo$2bo5b2o11bo3bo16bo
5b2o$bo19b4o16bo$2b3o37b3o$4bo39bo4$5b3o$7bo$6bo2$10b2o$9b2o$11bo$6b3o
$8bo$7bo!
EDIT 5: This solves another of the missing pseudo-P2s:

Code: Select all

x = 33, y = 18, rule = B3/S23
4bo$5b2o$4b2o$10bo$8b2o$9b2o$5bo$b2obobo18b2ob2o$2bobo2bo18bobo$o4b2ob
o15bo4bobo$2o6bo15b2o6bo$2bo5b2o16bo4b2o$2b3o8bo12b3o$5bo5b2o16bo$4b2o
6b2o14b2o$8b2o$9b2o$8bo!
EDIT 6: Reduces the cost for that one P10 many pages back by thirty-five gliders:

Code: Select all

x = 68, y = 48, rule = B3/S23
33bo$31b2o$32b2o4bo$17bo18b2o11bo$15bobo19b2o3bo4b2o$16b2o23bo6b2o$26b
obo12b3o$26b2o$27bo2$16bo$14bobo$15b2o3$5bo23b2o8bo$6b2o20bo2bo7bobo$
5b2o22b2o8b2o2$36b3o$36bo21b2ob2o$26b2o9bo20b2obo$20b2o3bobo2b2o29bo2b
2o$20bobo2bobobo2bo25b2obobo2bo$22bo3bo2bo2bo25bobo2bo2bo$22b2o3b2ob2o
29b2ob2o$bo7b3o17bo33bo$b2o8bo17bob3o29bob3o$obo7bo19bo2bo30bo2bo$31b
2o32b2o3$27bo$26bobo$19b2o5bobo$11b2o6b2o6bo$12b2o$11bo$21b2o$22b2o$
21bo5$23b3o$25bo$24bo!
A portion of that component can do this:

Code: Select all

x = 42, y = 29, rule = B3/S23
10bo$11bo$9b3o$17b2o17b2o$17bobo16bobo$19bo18bo$7b2o9b2ob2o14b2ob2o$6b
obo5b2o3bobo18bo$8bo5bobo2bobo15b2obo$16bo3bo16bobo$16b2o7$21bo$7b3o
10bobo$9bo3b2o5bobo$8bo4b2o6bo$17b3o$19bo$18bo3$b2o$obo$2bo!
EDIT 7: Saves two gliders on a LOT of syntheses:

Code: Select all

x = 16, y = 8, rule = B3/S23
b2o8bo$o2bo7bobo$obo8b2o$bo$4b2o$3bobo3b2o3bo$4bo5b2obo$9bo3b3o!
EDIT 8: Two similar syntheses:

Code: Select all

x = 58, y = 72, rule = B3/S23
32bo$11bo20bobo$12bo4bobo12b2o$10b3o5b2o$18bo10bo$27b2o$22bobo3b2o$22b
2o$23bo2$13bo$12bo$12b3o$54bobo$o13bo4bobo4b3o25b2obo$b2o10b2o4b2o5bo
25b2o3bo$2o11bobo4bo6bo23bo3b2o$52b3o$54bo6$4b2o11b2o$3bobo10b2o$5bo
12bo14$37bo$35b2o$36b2o4$7bo$8b2o7bobo$7b2o9b2o$18bo10bo$27b2o$22bobo
3b2o$22b2o$23bo2$13bo$12bo$12b3o40bo$54bobo$o13bo4bobo4b3o25b2obo$b2o
10b2o4b2o5bo25b2o3bo$2o11bobo4bo6bo23bo3b2o$52b3o$54bo$28b2o$28bobo$
28bo3$4b2o11b2o$3bobo10b2o$5bo12bo!
EDIT 9: Here's one for the "bad pseudo-SLs" category:

Code: Select all

x = 63, y = 35, rule = B3/S23
27bo$25b2o$26b2o2$4bo$2b2o$3b2o2$56b2o$b3o5b2o44bo2bo$3bo5b2o43bo2b2o$
2bo50bo$52bo2bob2o$3b3o46b2ob2obo$3bo$4bo41bo$45bobo11b2o$45bobo12bobo
$46bo14bo14$3o$2bo$bo!
EDIT 10: Unusual SL in seven gliders:

Code: Select all

x = 21, y = 35, rule = B3/S23
16bo$14b2o$15b2o11$b2o$obo$2bo3bobo$6b2o$7bo2$6b2o$6bobo$6bo6$b2o14b2o
$obo14bobo$2bo14bo3$19bo$18b2o$18bobo!
It's likely that the three-glider base could lead to other improvements.

Re: Synthesising Oscillators

Posted: January 5th, 2015, 7:38 pm
by Extrementhusiast
(Split post to prevent it from becoming too large.)

Four gliders place a long boat on many dominoes:

Code: Select all

x = 16, y = 14, rule = B3/S23
o$b2o$2o6$7bo6b2o$6bo7b2o$6b3o$2bobo$3b2o$3bo!
EDIT: Reduced the formerly unsolved P6 by seven gliders:

Code: Select all

x = 42, y = 32, rule = B3/S23
40bo$15bo13bo8b2o$16b2o9b2o10b2o$15b2o11b2o5$35bo$14b2o18bo$5bo7bobo
18b3o$3bobo9bo$4b2o19bobo$25b2o10bo$26bo10bobo$37b2o$21bo8b2o$19bobo8b
obo$16bo3b2o8bo$16b2o$15bobo4b2o$22bobo$8b2o12bo$b2o6b2o$obo5bo$2bo$
32b3o$15bo16bo6b2o$15b2o16bo5bobo$14bobo11b2o9bo$27b2o$29bo!
EDIT 2: Twin bees shuttle in seven gliders:

Code: Select all

x = 111, y = 79, rule = B3/S23
32bo$30b2o$31b2o53b2o2bobo$42b2o35b2o4b3obo3bo12b2o$26bo15b2o35b2o3b2o
6bo13b2o$27b2o2bo53bob5o$26b2o2bo55b3o$30b3o66bobo3bobo$86b3o12bo3bo$
85bob5o5bo11bo$84b2o6bo3bo3bo5bo3bo$85b3obo3bo3bo11bo$86b2o2bobo8bo3bo
$99bobo3bobo8$2o$b2o$o3$58b2o$57b2o$59bo13$59bo$57b2o$58b2o12$32bo$30b
2o67bobo3bobo$31b2o53b2o2bobo8bo3bo$79b2o4b3obo3bo3bo11bo$26bo52b2o3b
2o6bo3bo3bo5bo3bo$27b2o2bo53bob5o5bo11bo$26b2o2bo55b3o12bo3bo$30b3o66b
obo3bobo$86b3o$85bob5o$42b2o40b2o6bo13b2o$42b2o41b3obo3bo12b2o$86b2o2b
obo9$2o$b2o$o!
EDIT 3: Reduced the cost for six of the expensive 17-bitters:

Code: Select all

x = 256, y = 248, rule = B3/S23
67bo$68bo$66b3o5$67bobo$68b2o$68bo3$23bobo$23b2o$4bo11bobo5bo58bo$5bo
10b2o63b2o$3b3o11bo64b2o$22bobo$22b2o$23bo$93bo$91b2o$22bo69b2o$10b2o
9bo$10b2o2b2o5b3o70bo$6b2o6bobo77b2o$5bo2bo6bo77bobo$6b2o31b2o35b2o30b
2o$13bo24bo2bo33bo2bo29bo2bo$13b3o23bob3o32bob3o28bob3o$11b2o3bo21b2o
4bo30b2o4bo26b2o4bo$10bo2b3o22bo2b3o31bo2b3o27bo2b3o$11bobo25bobo35b2o
31b2o$12bo27bo16b3o$b2o56bo$2b2o34b2ob2o15bo$bo35bobobobo$39bobo$11b2o
$11bobo$11bo2$2b2o$3b2o$2bo22$199bo$200bo$198b3o6$26bobo$19bo6b2o$19bo
bo5bo$8b2ob2o6b2o19b2ob2o17b2ob2o21b2ob2o32b2ob2o35b2ob2o42b2ob2o32b2o
b2o$9bobo29bobobo17bobobo21bobobo32bobobo35bobobo42bobobo32bobobo$8bo
4bo10bo15bo5bo15bo5bo19bo5bo30bo5bo33bo5bo40bo5bo30bo5bo$8bob4o9b2o15b
ob3obo15bob3obo19bob3obo30bob3obo33bob3obo40bob3obo30bob3obo$9bo13bobo
15bo3bo17bo3bo21bo3bo32bo3bo35bo3bo42bo3bo32bobobo$10b2o30b3o19b3o23b
3o21bo12b3o12bo24b3o44b3o$3bobo5bo71bo15bo12bobo5bo15bo5bobo12bo21bo$
4b2o5bobo28b2obo18b3o17b2o4b3o4b2o14b2o6b2o4b3o4b2o6b2o14b2o7b3o7b2o
35b3o$4bo7b2o28bob2o18bo2bo15b2o4bo3bo4b2o16b2o2b2o4bo3bo4b2o2b2o16b2o
7bo3bo7b2o33bo3bo$65b2o22b2ob2o21bobo9bobo9bobo23bobobobo23b3o14bobobo
bo$2bo36bo77bo8b2ob2o8bo15bo10b2ob2o10bo15bo11bo3b2ob2o3bo$obo37b2o22b
o20bobo7bobo57b2o23b2o14bo12bo11bo$b2o36b2o2b2o19b2o20b2o7b2o28bo5bo
22bobo9b2ob2o9bobo16b2o8bo3b2ob2o3bo8b2o$42bobo18bobo20bo9bo28b2o3b2o
33bobobobo26bobo11bobobobo11bobo$3bo40bo23bo55bobo3bobo33bo3bo29bo12bo
3bo12bo$3b2o62b2o17b2o7b2o$2bobo62bobo17b2o5b2o138b2o$86bo9bo137bobo$
234bo$211b2o$210bobo$212bo$214b3o$214bo$215bo10$225b3o$225bo$226bo16$
13bo$6bo6bo$7b2o4bo$6b2o$9b3o3b3o6bo$22b2o45bo24bobo65bo$13bo9b2o20bob
o21bobo22b2o66bobo$13bo32b2o21b2o24bo66b2o$13bo32bo75bo35bobo$5b2o30b
2o9bo13b2o5bo14b2o3b2o19b2o11b2o7b2o16b2o7b2o11b2o$4bo2bo28bo2bo3bo3bo
13bo2bo3bobo12bo2bobo2bo17bo2bob2o6b2o7bo2bob2o11bo2bob2o3bo11bo2bob2o
$3bo2b2o27bo2b2o2bobo2b3o10bo2b2o2bobo12bo2b2obo2bo16bo2b2obo15bo2b2ob
o4bo6bo2b2obo15bo2b2obo$4b2o30b2o4b2o17b2o4b2o14b2o4b2o18b2o4bo8bo6b2o
4bo3bo7b2o4bo2b2o11b2o3bo$6b4o28b4o21b4o18b4o7bo14b4o8b2o8b4o4bo9b4o2b
o2bo12b3o$6bo2bo28bo2bo21bo2bo18bo2bo6b2o14bo11bobo7bo17bo6bobo12bo$7b
2o30b2o23b2o20b2o7bobo14bo21bo6b2o9bo6bo$111b2o20b2o6bobo7b2o$79bobo
59bo18b3o$80b2o9b3o56bo9bo$80bo10bo57b2o10bo$19b2o65b2o4bo56bobo$19bob
o63b2o$19bo62b2o3bo$81bobo$83bo6$13bo$12b3o$11b2obo$11b3o$12b2o21$5bo$
4bo$o3b3o$b2o7bo$2o6b2o$9b2o6bo$16bo$16b3o4$6bo29b2o$5bobo27bobo$4bo2b
o26bo2bob2o$4b2ob2o5b3o17b2obobo$6bo2bo4bo5b2o14bo2bo$6bobo6bo4bobo13b
obo$7bo12bo16bo25$10bo$9bo$9b3o4$4b2o$5bo8bo$4bo9bobo2bo15bo2bo$4b4o6b
2o2b2o15b4o$8bo9bobo18b2o$3bob2obo25bob2o2bo$3b2ob2o26b2obobo$38bo$15b
o$14b2o$14bobo$3b3o$5bo3b2o$4bo4bobo6b3o$9bo8bo$19bo!
And likely for a smaller SL (depending on the cost of the base SL):

Code: Select all

x = 28, y = 28, rule = B3/S23
7bo$7bobo$7b2o$4bo$2bobo$3b2o2$7bo$5b2o$6b2o3$13bo$11b2o12b2o$3b2o7b2o
10bo2bo$bo2bo18bo2b2o$b2obob2o15b2obo$4bob2o18bo$b3o19b3o$bo10bobo8bo$
7b2o3b2o$7b2o4bo2$2o$b2o2bo$o3b2o6bo$4bobo4b2o$11bobo!
EDIT 4: Four-glider block-to-carrier in the "other" orientation:

Code: Select all

x = 18, y = 23, rule = B3/S23
15bo$15bobo$15b2o5$2bo$2bobo$2b2o2$4bo$3b2o$3bobo4b2o$10bobo$10bo6$2o$
2o!
EDIT 5: A couple of rather unusual components:

Code: Select all

x = 67, y = 81, rule = B3/S23
8$8bo$6bobo$7b2o8bobo$17b2o$18bo2$16b2o$16bobo$16bo2$47bo$11b2o33bobob
2o$11b2o33bobobo$15b2o30b2obo$16bo9bo22bo$16bobo5b2o23bobo$17b2o6b2o
23b2o5$23bo$22b2o$22bobo12$40bo$38b2o$39b2o9$30bo$28b2o$29b2o8$21b2o$
20bo2bo$21b2o3bobo26b2ob2o$26b2o26bobobo$17b2o8bo25bo2bobobo$16bobo33b
ob2o3b2o$16bo11b2o22bo$15b2o10b2o22b2o$29bo!
A glider could be saved in the second one with an appropriate three-glider synthesis of that bi-block predecessor.

EDIT 6: Several reductions:

Code: Select all

x = 406, y = 53, rule = B3/S23
120bo$121bo85bo$119b3o86b2o$123bo83b2o$123bobo$115bo7b2o$116bo110bo$
114b3o108b2o$130bobo15b2o65bo10b2o$130b2o16b2o63bobo$43bo87bo13bo68b2o
$42bo102b7o233bo$2bo39b3o107bo78bo152bo$3b2o142bo3b2o76bobo152b3o$2b2o
2bo5bobo30b2o100b2o81b2o$6bobo3b2o31bobo204bo$6b2o5bo25b2o4bo24bo46b2o
108b2o9bobo11bobo$35b2o3bo25b2o2bo46b2o108b2o5bo3b2o10bo4bo92bobo$3bo
6b3o22bobobo26bobo2bo153b2o8b2o2bo10b6o95bo$4bo5bo214b2o7b2o115bo$2b3o
6bo25bobobo25bo2bobo56bo92bo29bob2o84bobo5bo2bo$36bo3b2o26bo2b2o55bobo
92bo28b2obo85b2o6b3o8bo$bo5b2o22bo4b2o30bo60bo91b3o117bo17bo$b2o3bobo
20bobo327b3o$obo5bo2b2o17b2o$10b2o214bobo$12bo19b3o192b2o$34bo192bo$
33bo368bo$225b2o121bo52bobo$226b2o108b2o10bobo51bobo$225bo109bo2bo9b2o
17b2o30b2obo$336b2o17b2o9bo2bo32bob2o$354bobo10b2o31bobo$356bo44bobo$
402bo5$343b3o$345bo17bo$344bo8b3o6b2o$353bo2bo5bobo$353bo$353bo$354bob
o4$318b3o$320bo$319bo!
Also, a remarkably simple component for a complex addition:

Code: Select all

x = 25, y = 25, rule = B3/S23
23bo$22bobo$23bo4$12bo$11bobo$12b2o2$5bo$3bobo$4b2o2b2o$7bobo$9bo3$11b
3o5$b2o$obo$2bo!
EDIT 7: Piston down to ten gliders:

Code: Select all

x = 50, y = 26, rule = B3/S23
15bo$14bo$14b3o$4bo$5bo$3b3o3$13bobo$13b2o$14bo$26bo$24b2o$25b2o3$12bo
26b2o7b2o$12bo26bobo2bo2bobo$2bo9bo28bo2b4o$obo36bobo2bo2bobo$b2o36b2o
7b2o2$3b3o23b2o$5bo12b2o8b2o$4bo13bobo9bo$18bo!
EDIT 8: 14.35 down to nine gliders:

Code: Select all

x = 27, y = 16, rule = B3/S23
8bo$6bobo$7b2o4bo10bo$11b2o11bobo$12b2o10b2o3$22b2o$9b2o10b2o$9bobo11b
o$11bo$b2o8b2o6b2o$obo16bobo$2bo10b3o3bo$13bo$14bo!
EDIT 9: Shaved a glider off of a frequently-used component of mine:

Code: Select all

x = 26, y = 21, rule = B3/S23
18bo$16b2o$2bo9bo4b2o$obo8bo$b2o8b3o3$4b2o11bobo$3bo2bo10b2o$4b2o12bo$
9bo$8bobo5b2o$9bobo4bobo5bo$11bo4bo6b2o$10bo12bobo$10b2o$12bo$10b2obo
4b3o$9bobobo4bo$9bo2bo6bo$10b2o!
EDIT 10: 44P12 down to 81 gliders:

Code: Select all

x = 423, y = 44, rule = B3/S23
379bo$78bo248bo50bo$79bo9bo235b2o51b3o$77b3o7b2o237b2o35bo$88b2o274b2o
11bo$95bobo234bobo28b2o13bo$82bo12b2o235b2o42b3o$18bo61b2o14bo236bo$
17bo58bobo2b2o200bo99bo$o7bo8b3o57b2o205bo3bo32b2o11b2o45b2o$b2o5bobo
66bo204b3ob2o32bo2bo10bobo22bo10b2o10b2o$2o6b2o239bobo35b2o31bo2bo10bo
25b2o8bo$89bobo157b2o70b2o36b2o10bo$7bo41bo39b2o43bo115bo81bo39bo$5bob
o39b2o41bo25b2o15bo19b2o31b2o21b2o13bobo21bo6b2o33b2o32b2o5b2o40bo13bo
bo$6b2o40b2o19bo46bo16b3o17bo32bo22bo14b2o23bo5bo34bo33bo6bobo40bo12b
2o27bo$51b2o11bo5b2o45bo36bo32bo22bo14bo21b3o6bo34bo33bo49bo12bo26b2o$
43bo7bobo8bobo4b2o11b2o32b2o35b2o31b2o21b2o31bo12b2o33b2o32b2o48b2o19b
o18b2o$42bobo6bo11b2o16bo2bo30bo36bo32bo22bo17b2o12bobo11bo27b2o5bo26b
2o5bo42b2o5bo21bobo15bo$42b2o24bo12b4o29bob4o31bob4o9bobo15bob4o17bob
4o13bobo12b2o2bo7bob4o23bobo3bob4o22bobo3bob4o38bobo3bob4o13b2o2b2o15b
ob4o$40b2o26b2o9b2o29b2obobo4bo26b2obobo4bo8b2o12b2obobo4bo12b2obobo4b
o12bo18b2o2b2obobo4bo25bobobo4bo24bobobo4bo40bobobo4bo12bobo17bobo4bo$
39bobob3o21bobo8bobob3o25bob2obob2obo26bob2obob2obo9bo12bob2obob2obo
12bob2obob2obo30bobo2bob2obob2obo26b2obob2obo25b2obob2obo41b2obob2obo
12bo18b2obob2obo2b2o$40bo2bo2bo31bobobo2bo29bob2obob2o5bo22bob2obob2o
4bo19bob2obob2o14bob2obob2o7bo29bob2obob2obo2bobo19bob2obob2o25bob2obo
b2o28bo12bob2obob2o27b2o2bob2obob2o$43bo2bo32b2obo2bo29bo4bobobo3bo23b
o4bobo4b2o5bo13bo4bobobo13bo4bobobo5b2o29bo4bobob2o2b2o20bo4bobobo24bo
4bobobo25bobo12bo4bobobo30bo4bobo$19b2o23b2o37b2o31b4o3bo4b3o22b4o2bo
4bobo3b2o14b4o2bobo14b4o2bobo5bobo29b4obo7bo2b2o17b4obo3bobo22b4obo3bo
bo19b2o2b2o13b4obo3bobo28b4obo$19bobo14bo122b2o9bobo19b2o21b2o42bo11bo
bo20bo5b2o26bo5b2o18bobo21bo5b2o32bo$9b2o8bo16b2o26bo53b2o11b2o22b4o
29b4o19b4o42b2o12bo20b2o32b2o28bo19b2o38b2o$10b2o23bobo26b2o25b3o24bob
o10bobo21bo2bo29bo2bo4bo14bo2bo3bo38bo6b3o25bo33bo36bo12bo38b2o$9bo53b
obo7b2o16bo27bo11bo57b2o4bo16b2o3bobo38bo5bo28bo24bobo6bo35b2o12bo37bo
$38b3o33b2o16bo102b3o18bo2bo37b2o6bo26b2o25b2o5b2o34bobo13bo$38bo34bo
14b2o127b2o44bo55bo59bo$39bo48bobo65b2o36b2o67b2o64b2o49bo10b2o$88bo
30b2o34b2o36bobo66bobo30b2o20bo10bo2bo49bo8b2o$118bobo31b2o3bo37bo100b
2ob3o13bobo10bo2bo36b2o10b2o10bo$66b2o52bo32b2o57b2o8b3o70bo3bo16b2o
11b2o38b2o$67b2o53b3o27bo50b2o6b2o9bo77bo67bo$66bo55bo81b2o7bo9bo94bo$
110b2o11bo33b2o44bo3b3o108b2o53b3o$109bobo44b2o49bo109bobo53bo13b2o$
111bo46bo49bo165bo11b2o$324b2o62bo$325b2o44b3o$324bo48bo$372bo!

Re: Synthesising Oscillators

Posted: June 1st, 2015, 2:17 pm
by Extrementhusiast
(Splitting the post, AGAIN.)

One-sided version of that frequently-used component mentioned two edits ago (although it keeps the old cost):

Code: Select all

x = 27, y = 24, rule = B3/S23
16bo$15bo$10bo4b3o$9bo$9b3o2$11bo11bo2bo$10b2o10bo$10bobo2bo6bo3bo$15b
obo4b4o$15b2o$ob2ob2o$2ob2o2bo$6bobo$7bo2$10bo$9bobo$9bobo$10bo2$15b3o
$15bo$16bo!
EDIT: Loaf to tailwise eater, while acting as a width-one induction coil:

Code: Select all

x = 81, y = 25, rule = B3/S23
63bo$62bo$62b3o$26bobo$15bobo8b2o26bo$15b2o10bo25bo$16bo23bo12b3o$bo6b
o29bobo$2bo3bobo15bobo12b2o$3o4b2o15b2o$25bo27bo$52bo$52b3o2$6bo48b2o$
bo2b2o39bobo7bobo$2bo2b2o7b2o4b2o22bob2o7bo18b2o$3o10bo2bo2bo2bo21bo
29bo$14bobo3b2o23b3o27b3o$15bo31bo29bo2$13b5o27b5o25b5o$12bo5bo25bo5bo
23bo5bo$12bobobobo25bobobobo23bobobobo$13b2ob2o27b2ob2o25b2ob2o!
EDIT 2: An extra-expensive but workable way to get from an induction coil to a single bit on a row of five:

Code: Select all

x = 50, y = 29, rule = B3/S23
9bo$10bo13bo$8b3o11b2o$2bo20b2o3bo$obo25bobo$b2o9bo15b2o$10bobo$11b2o
5$9b2o9b2o$9bobo7bobo$10bo2bo2bo3bo$11b9o$3bo23bo18bo$bobo9b5o9bobo14b
5o$2b2o8bo5bo8b2o14bo5bo$12bobobobo24bobobobo$4b3o6b2ob2o6b3o17b2ob2o$
6bo17bo$5bo19bo4$2o27b2o$b2o25b2o$o29bo!
EDIT 3: A 16-bit P2 in eighteen gliders:

Code: Select all

x = 67, y = 26, rule = B3/S23
16bo$bo15b2o$2bo13b2o$3o19bo$21bo$21b3o10bo$33bo$33b3o$15bobo$11bo3b2o
20b3o$12b2o2bo11bo8bo21b2o$11b2o14bobo8bo20bo4b3o$19bo7bobo30bobo$18bo
bo7bo34bobo$9bo8bobo14b2o22b3o4bo$10bo8bo11bo2b2o29b2o$8b3o20b2o3bo$
30bobo$12b3o$14bo$13bo10b3o$26bo$25bo19b3o$30b2o13bo$29b2o15bo$31bo!

Re: Synthesising Oscillators

Posted: June 6th, 2015, 7:40 pm
by mniemiec
Extrementhusiast wrote:A 16-bit P2 in eighteen gliders: ...
Cool! This is #15 on my list of 16-bit P2s, previously unbuildable. As an added bonus, by shifting the right side up by one, you also get #2, also previously unbuildable:

Code: Select all

x = 68, y = 25, rule = B3/S23
16bo$bo15boo$bbo13boo$3o19bo$21bo12bo$21b3o9bo$33b3o$$15bobo19b3o$11bo
3boo11bo8bo$12boobbo10bobo8bo21boo3b3o$11boo14bobo30bo$19bo8bo32boboob
o$18bobo14boo30bo$9bo8bobo10bobboo24b3o3boo$10bo8bo11boo3bo$8b3o19bobo
$$12b3o$14bo9b3o$13bo12bo$25bo19b3o$30boo13bo$29boo15bo$31bo!

Re: Synthesising Oscillators

Posted: June 10th, 2015, 6:43 pm
by Extrementhusiast
Three components that start with hats:

Code: Select all

x = 48, y = 74, rule = B3/S23
10bo$11b2o$10b2o4$10bo$11bo31bo$9b3o6b2ob2o16b2obobob2o$19bobo17b2obob
obo$7b2o10bobo20bobobo$6bobo11bo18b3o3bo$8bo30bo11$19bo$17b2o$7bo10b2o
$7bobo$7b2o2$5bo7bo$6b2o5bobo$5b2o6b2o2$2bo$obo4bobo$b2o5b2o$8bo$39b2o
b2o$12b2ob2o21bo2b2obob2o$4bo8bobo22b2o4bobo$4b2o7bobo28bobo$3bobo8bo
30bo10$8bo$6bobo$7b2o8bobo$18b2o$18bo2$11bobo6bo$12b2o6bobo$12bo7b2o3$
15bobo$16b2o$16bo$42b2o$20b2ob2o16bo2bob2o$21bobo18bobobo$21bobo16bobo
bobo$22bo17b2o3bo$9b3o$11bo5b3o$10bo6bo$18bo!

Re: Synthesising Oscillators

Posted: June 21st, 2015, 7:18 pm
by mniemiec
From http://catagolue.appspot.com/object/xp2 ... zw32/b3s23:
This is the only remaining one of the objects from Achim Flammenkamp's paper "Natural oscillators in Game of Life" that required more than 1 glider/bit to synthesize. From a predecessor in one of the above soups, this can be reduced from 29 to 12 gliders. (I am sure that the cleanup can be done with only one glider rather than two; I only explored 10 lanes, and found several that leave only one or two nearby still-lifes. There are likely others that leave nothing, which would make this 11 gliders rather than 12.)

Code: Select all

x = 114, y = 95, rule = B3/S23
bo22bo39bo39bo$bbo20bobo37bobo37bobo$3oboo17bobbo36bobbo36bobbo$4bobo
17boo38boo18boo18boo$4bo38boo38bobbo$42bobo39boo$44bo29bo$46boo26bobo$
46bobo25boo$46bo24boo37boo$71bobo36boo$71bo23$49bo$50bo$48b3o$52bo$52b
obo$52boo$64bo$63bobo43boo$63bobbo41bobbo$44boo10bo7boo42bobo$43bobbo
9boo49boobobbo$44boo9bobo50boboboo$108bobo$58boo49boo$58bobo$58bo11boo
11boo$70boo11boo14$30boo$31boo$30bo15$69boo38boo$68bobbo36bobbo$68bobo
37bobo$67boobobbo33boobobbo$68boboboo34boboboo$68bobo37bobo$69boo38boo
$$43boo$43boo$$40b3o$42bo$41bo!

Re: Synthesising Oscillators

Posted: June 24th, 2015, 4:09 pm
by Extrementhusiast
mniemiec wrote:From http://catagolue.appspot.com/object/xp2 ... zw32/b3s23:
This is the only remaining one of the objects from Achim Flammenkamp's paper "Natural oscillators in Game of Life" that required more than 1 glider/bit to synthesize. From a predecessor in one of the above soups, this can be reduced from 29 to 12 gliders. (I am sure that the cleanup can be done with only one glider rather than two; I only explored 10 lanes, and found several that leave only one or two nearby still-lifes. There are likely others that leave nothing, which would make this 11 gliders rather than 12.)

Code: Select all

RLE
I can make that ten, via another one of the soups:

Code: Select all

x = 78, y = 57, rule = B3/S23
24bo$24bobo$24b2o12$36bo$36bobo$36b2o10$o8bo$b2o4b2o$2o6b2o2$2bo18bo$
2b2o7bo8bobo$bobo7bo8bobo$11bo9bo2$7b3o3b3o$74b2o$11bo62bobo$11bo59b2o
bobo$11bo59bo2bob2o$74bobo$73bo2bo$74b2o12$33b2o$33bobo$33bo!

Re: Synthesising Oscillators

Posted: June 24th, 2015, 8:02 pm
by mniemiec
Extrementhusiast wrote:I can make that ten, via another one of the soups:
Excellent! I was already starting to get burned out looking at synthesizing soup results yesterday (mostly with tantalizing but frustrating non-results), and seeing that there were over 20 soups for that one object alone, I stopped after the first 3, settling for the low-hanging fruit.

Re: Synthesising Oscillators

Posted: June 26th, 2015, 4:51 pm
by Extrementhusiast
Syntheses for two related small oscillators:

Code: Select all

x = 373, y = 75, rule = B3/S23
329bobo$266bo63b2o$267bo62bo5bo$212bo52b3o66b2o$210b2o92bo30b2o$182bo
20bo7b2o58bo30bobo17bo$43bo138bobo19b2o63b2o32b2o18bo10bo$42bo65bobo
71b2o19b2o3bo22bo34bo3b2o34bo14b3o11bo$42b3o63b2o96b2o21bobo35b2o37bob
o24b3o4b2o$40bo68bo97b2o21b2o34b2o38b2o31bo2bo$38bobo66bo75bo156b2o$
39b2o67bo74bobo46bo$106b3o23bo50b2o47bobo60b2o33b2o31b2o$13bo9bo30bo
23bo24bo13bo15b2o15bo24bo33b2o13b2o6b2o5b2o25bo2bo6b2o17bo3bo6b2o16b2o
4bo3bo6b2o19bo2bo4b2o$14bo7bo26b2ob3o18b2ob3o25bo7b2ob3o14b2o7b2o2b2ob
3o19b2ob3o32bo2bo13b2o10bo2bo25b4o4bo2bo18b4o4bo2bo17b2o4b4o4bo2bo20b
2o2b2o2bo$5bo6b3o7b3o8b2o13bob2o17bo2bob2o26b3o3bo2bob2o26bo2bob2o21bo
b2o34bob2o13bo11bob2o33bob2o26bob2o17bo13bob2o27b2o$6bo11b3o11bobo9bob
3o4b2o14b4o4b2o20bo8b4o4b2o18b2o4b3o4b2o16b3o4b2o9bo19b3o26b3o29b2o3b
3o22b2o3b3o27b2o3b3o24b2o2bo$4b3o11bo15bo9b2o4b3obo19b3obo20b2o12b3obo
17bobo8b3obo15bo4b3obo9bobo16bo4b4o14bo5bo4b4o24b2o2bo4b4o17b2o2bo4b4o
22b2o2bo4b4o19bo5b4o$3o16bo27b2obo20b2obo23bobo9b2obo23bo4b3obo19b4obo
13b2o17b4obo2bo14b2o4b4obo2bo28b4obo2bo21b4obo2bo26b4obo2bo20b4obo2bo$
2bo7b2o32b3ob2o20bo2bo36bobo29bo2bo24bo37bo17bobo8bo36bo29bo34bo28bo$b
o9b2o31bo26b2o8bo61b2o23bo37bo28bo36bo29bo24b3o7bo28bo$10bo24b2o40bo2b
o26b3o58b2o36b2o27b2o35b2o28b2o25bo7b2o27b2o$34bobo29b2o8b2o2b3o26bo
27b3o39b2o147bo$36bo28bobo3b2o3bobo29bo30bo5bo6b2o25bobo$67bo3bobo13b
3o48bo6b2o4b2o26bo$71bo15bo56bobo6bo21b3o$36b2o50bo88bo$35bobo99b3o36b
o$37bo99bo2bo$137bo$137bo3bo$137bo$138bobo12$194bobo132bobo$195b2o69bo
63b2o$144bo50bo71bo62bo5bo$142bobo61bo58b3o66b2o$138bo4b2o60bo98bo30b
2o$139bo33bo16bo14b3o63bo30bobo17bo$137b3o3bo29bobo15b2o76b2o32b2o18bo
10bo$142b2o29b2o15b2o39bo34bo3b2o34bo14b3o11bo$142bobo26bo57bobo35b2o
37bobo24b3o4b2o$113bo55bobo26b2o30b2o34b2o38b2o31bo2bo$112bo57b2o25bo
2bo139b2o$112b3o83b2o7bobo22bo$141b2o64b2o23bobo60b2o33b2o31b2o$42b2o
37bo59bobo64bo15b2o6b2o32bo2bo25bo3bo24b2o4bo3bo27bo2bo$41bobobo5bo6bo
bo18b2o26bo7bobo20bo3bo29b2o25b2o24b2o10bo2b2o24b4o4bo2b2o17b4o4bo2b2o
16b2o4b4o4bo2b2o19b2o2b2o2b2o$43bobobo3bobo4b2o17bo2b2o22bobobo6b2o18b
obobo29bobo2bo21bobo2bo8bo13bo11bobo2bo31bobo2bo24bobo2bo15bo13bobo2bo
25bo2bo$45b2o4b2o6bo15b3o24b3obobo7bo16b3obobo18bobo6b3obobo20b3obobo
9bobo21b3obobo25b2o3b3obobo18b2o3b3obobo23b2o3b3obobo20b2o2bobobo$74bo
26bo5bo24bo5bo20b2o5bo5bo20bo5bo10b2o15bo5bo5bo26b2o2bo5bo19b2o2bo5bo
24b2o2bo5bo21bo6bo$55b2o18b5o22b5o10b3o13b5o21bo7b5o21b6o28b2o4b6o31b
6o24b6o29b6o23b6o$55bobo19bo2bo23bo12bo17bo11bo21bo39bo16bobo$55bo23b
2o2b2o33bo27b2o9bo37b2o11b2o25b2o35b2o28b2o23b3o7b2o27b2o$62bo20bobo
53b2o5bobo6bobo37b2o11bobo24b2o35b2o28b2o25bo7b2o27b2o$61b2o14bo5bo56b
2o14b2o170bo$61bobo13b2o60bo$76bobo9b2o68bo$88bobo67b2o6b2o$88bo68bobo
5bobo7b2o$167bo7bobo$170b2o3bo$171b2o$170bo!
EDIT: Two-directional six-glider synthesis of an eater with tail pointing away:

Code: Select all

x = 24, y = 17, rule = B3/S23
17b2o$16b2o$18bo2$3bo8b2o$3b2o6bobo$2bobo8bo3b3o$17bo$18bo$21b2o$21bob
o$21bo3$2o$b2o$o!
EDIT 2: Syntheses for two more small oscillators:

Code: Select all

x = 396, y = 106, rule = B3/S23
233bo$232bo$232b3o7$257bobo$260bo7bo$260bo7bobo$114bo142bo2bo7b2o$98bo
13b2o144b3o$96bobo14b2o$97b2o$9bo182bo$10bo8bobo78bo26bobo25bo37bo$8b
3o8b2o70bo7bo27b2o27b2o33b3o68bo33bo$12bo7bo71bo6b3o6bo19bo26b2o104bo
33bo$12bobo34bo40b3o13b2o51bo101b3o31b3o$12b2o35bobo55b2o20b2o18bobo6b
2o$49b2o37b2o38b2o20b2o2b2o2bobo105bo$77bo9bobo40bo19bo4bo110bobo21b2o
$77bobo9bo35b2o20bo6bo19b2o76b2o12b2o17b2o2bo2bo7bobo20b2o2b2o28b2o2b
2o24b2o2b2o$77b2o47bo7bo12b2o4bo21bo77bo32bo2b3o8b2o22bo2b2o29bo2b2o
25bo2b2o$2bo5bo27bo28bo30bo27bo9bobo9bobo3bo21bo77bo32bo15bo21bo33bo
29bo$bobo4bo26bobo2b2obo20bobo2b2o24bobo2b2o21bob4o5b2o15bob3o17bob3o
73bob3o3bo24bob6o30bob7o25bob7o21bob7o$bobo4bo26bobo2bob2o20bobo2bobob
o21bobo2bobo20bobo2bo22bobo2bo16bobo2bo72bobo2bobobo23bobo4bo3bobo24bo
bo3bo2bo24bobo3bo2bo20bobo6bo$2o2b2o28b2o2b2o23b2o2b2o3b2o20b2o2b2o2bo
19b2o2b2o22b2o2b2o16b2o2b2o72b2o2b2o3bobo21b2o2b2o6b2o24b2o2b2o3b2o23b
2o2b2o3b2o19b2o2b2o3b2o$2bobo31bobo14bo11bobo28bobo3b2o20bobo25bobo19b
obo75bobo5bo24bobo8bo26bobo31bobo27bobo$2bo2bo30bo2bo11b2o12bo2bo27bo
2bo24bo2bo3b3o2b3o13bo2bo18bo2bo74bo2bo29bo2bo34bo2bo30bo2bo26bo$3b2o
18b2o12b2o13b2o12b2o29b2o26b2o4bo4bo16b2o20b2o76b2o14b2o15b2o9b3o24b2o
32b2o28b2o$22b2o51bobo54bo4bo56bobo72bobo25bo75bobo$24bo20b2o28b2o117b
2o73bo28bo62b2o4bobo3b2o$19b2o25b2ob3o18b3o3bo118bo131b2o31bo2bo3b2o5b
o$18b2o25bo3bo22bo56b3o65b3o66bo61b2ob3o26bo2bo4bo$20bo29bo20bo4b2o51b
o2bo64bo67b2o34b3o23bo3bo29b2o7bo$75bobo51bo68bo53b2o11bobo33bo30bo36b
2o$77bo51bo123b2o47bo51b2o13bobo$130bobo119bo102b2o$354bo$263b3o$263bo
$264bo23$149bobo65bo$148bo67bo$148bo67b3o$148bo2bo$148b3o4$69bo$70bo
201bo4bo$68b3o83bo118bo4b2o14bo$144bo10b2o114b3o3b2o13b2o$121bo20bobo
9b2o18bo67bo42bo7b2o$120bo22b2o17bobo9bobo12bo3bo47bobo40bobo$77bo42b
3o39b2o10b2o14b2obobo45bo2bo39bo2bo$75bobo3bo9bo71bo25b2o2b2o47bobo40b
obo$76b2ob2o11b2o23bobo123bo42bo$67bobo10b2o9b2o2b2o21b2o$68b2o4bo20b
2o21bo49bo111bo32b2o3bo$68bo3b3o32bo18b2o27b2o11bobo34bo41bo27bo2bobo
9bo6b2o14bobobobo$71bo3b2o24b2o2b2o18bobo23b2obobo11b2o31b2obobo36b2ob
obo26b2o2b2o5b2obobo4b2o17bobo2bo$71b2o2bobo19b2o2bobo2b2o14bo2bo24bob
obo47bobobo37bobobo25bobo10bobobo6bo15bobobobo$73bobobo19bobobobo17bob
ob2o23bobob2o46bobob2o36bobob2o37bobob2o25bob2o$73bo2bo21b2o2bo4bo14b
2o2bo15bo8b2o2bo47b2o2bo29bo7b2o2bo38b2o2bo23bobo2bo$74b2o24b2o4b2o16b
2o14bobo10b2o50b2o31bo8b2o41b2o24bo2b2o$69bobo26b2o6bobo13b2o17b2o8b2o
50b2o31b3o6b2o41b2o27b2o$70b2o8bo2bo13bobo21bobo26bobo49bobo39bobo29b
2o11bo28bo$70bo5bo2bo18bo23bo20b3o5bo12b2o36b2o40b2o31b2o9bo28bo$75b2o
2bo3bo61bo17b2o111bo11b2o27b2o$67b2o6bobob4o61bo20bo86bo$68b2o169b2o
11bobo$67bo4b2o122b2o40bo2bo10b2o$71bobo91bo29bobo41b2o8b2o$73bo66b2o
22b2o31bo50b2o$139bobo22bobo32b2o49bo$141bo57bobo$155b2o42bo46b2o$154b
2o89bobo$156bo90bo!
EDIT 3: And two more, again related:

Code: Select all

x = 853, y = 151, rule = B3/S23
317bo$318bo$316b3o38bo$356bo$356b3o6$325bo$326bo$324b3o43bobo$370b2o$
371bo6$342b2o$341bo2bo$342b2o3b2o39b2o$347b2o39b2o$351b2o39b2o$347b2o
2bo34b4o2bo$347bobobo2bo30bo2bobobo$348bo2bobobo29b2o2bo2bob2o$351bo2b
obo35bob2o$344b2o4b2o3bo36bo$343bo2bo43bobo$343bo2bo3b2o38b2o$344b2o4b
obo$351bo4$329bo$329b2o$328bobo4$326b2o$327b2o$326bo2$351bobo$352b2o$
352bo$348b3o$350bo$349bo$341b2o$342b2o$341bo39$69bo$70bo$68b3o38bo$
108bo$10bo97b3o$10bobo$10b2o$467bo$318bo146b2o$317bo144bo3b2o$77bo107b
obo61bobo65b3o69bobo68bobo$78bo107b2o61b2o64bo73b2o70b2o$76b3o107bo63b
o65bo73bo$314b3o146bo$4bobo115bo24bobo68bo243bo$4b2o116bobo22b2o67bobo
2bo128bo111b3o$5bo30bo85b2o24bo43bo24b2o2bobo20bo36bo34bobo29bobo3bo
29bo38bo104bo$7b3o26bobo104bobo45bo29b2o22bo34bo35b2o31b2o3bobo3bo24bo
35bobo35bobo5bo61bo$7bo28b2o106b2o45b3o49b3o34b3o34bo36b2o3bo23b3o36b
2o31b2o3b2o4bo60b3o$8bo25bo109bo214b3o94b2o2bo5b3o26bo35bo184bo$32bobo
59b2o98b2o27b2o16b2o35b2o101b2o41b2o29bo40bo34bobo182bobo$33b2o5b2o51b
o2bo3b2o43b2o35b2ob2o7bobo22b2o2bobo14bobo7b2o3b2o20bobo4b2o25b2o5b2o
28b2o2bo2b2o23bobo7b2o31bobo62bo5b3o23bo10b2o24bo32bo40bo32bo41bo9b2o
23bo34bo30bo36bo$39bo2bo51b2o3bo2bo41bo2bo34bo3bo7bo24bo5bo16bo7bo2bo
2bo20bo4bo2bo25bo2bobo2bo28bo2bobo2bo25bo7bo2bob2o26bo4bob2o29bob2o22b
obo29bobo34bobo30bobo38bobo30bobo39bobo32bobo32bobo28bobo8bo25bobo$39b
3o57b3o42b3o36b3o34b5o26b5o22b7o27b3ob3o30b3ob3o35b4obo27b6obo29b2obo
23bo31bo36bo32bo40bo32bo41bo34bo34bo30bo9bobo7bobo14bo$564b2o31b2o39b
2o31b2o10bo29b2o3bo98b2o8b2o$4b2o33b3o57b3o40b5o34b5o32b5o26b5o24b5o
29b5o32b5o37b5o30b5o28b5o22b5o27b5o15b2o15b5o3bo2bo21b5o3bobo30b5o3bob
o22b5o3bobo4bo5bobo18b5o3bobo2bo21b5o30b5o26b5o18bo13b5o$4bo2bo31bo2bo
56bo2bo38bo2bo2bo32bo2bo2bo30bo2bo2bo24bo2bo2bo22bo2bo2bo27bo2bo2bo30b
o2bo2bo35bo2bo2bo28bo2bo2bo26bo2bo2bo20bo2bo2bo25bo2bo2bo3b2o8b2o15bo
2bo2bo2bob2o3bo16bo2bo2bo2bo31bo2bo2bo2bo23bo2bo2bo2bo4b2o6b2o18bo2bo
2bo2bo4b3o18bo2bo2bo2b2o24bo2bo2bo2b2o20bo2bo2bo2b2o6bo19bo2bo2bo$5b2o
bob2o28b2obob2o53b2obob2o34b2o2b2obob2o28b2o2b2obob2o26b2o2b2obob2o20b
2o2b2obob2o18b2o2b2obob2o23b2o2b2obob2o26b2o2b2obob2o31b2o2b2obob2o24b
2o2b2obob2o22b2o2b2obob2o16b2o2b2obob2o21b2o2b2obobobo10bo14b2o2b2obob
o5bo17b2o2b2obob2o30b2o2b2obob2o3bo18b2o2b2obob2o4b2o2b2o21b2o2b2obob
2o24b2o2b2obo2bo24b2o2b2obo2bo20b2o2b2obo2bo6bobo17b2o2b2obo$8bobobo
30bobobo55bobobo40bobobo34bobobo32bobobo26bobobo24bobobo29bobobo32bobo
bo37bobobo30bobobo28bobobo22bobobo27bobo34bobo5b3o22bobo38bobo4bobo23b
o11bobo27bo3bo30bobo32bobo28bobo7b2o2b3o20bo2bo$b2o5bo2bo24b2o5bo2bo
49b2o5bo2bo41bobo2bo33bobo2bo31bobo2bo25bobo2bo23bobo2bo28bobo2bo31bob
o2bo36bobo2bo29bobo2bo27bobo2bo21bobo2bo4b3o19bobobo32bobobo28bobobo
10bo25bobo4b2o24bob2o8bo29bob2o31bob2o31bob2o27bob2o3b2o5bo22bobobo$o
2bo3b2o26bo2bo3b2o51bo2bo3b2o44bo2b2o34bo2b2o32bo2b2o26bo2b2o24bo2b2o
29bo2b2o32bo2b2o37bo2b2o30bo2b2o28bo2b2o22bo2b2o5bo21bo2b2o32bo2b2o28b
o2b2o8b2o26bobob2o27bobo39bobo5b3o24bobo32bobo28bo5b2o7bo21bo2bo$o2bo
31bo2bo56bo2bo47bobo36bobo34bobo28bobo26bobo31bobo34bobo39bobo32bobo
30bobo24bobo10bo18bobo34bobo8b3o19bobo13b2o23bobobo2bo25bobobobo35bobo
bobo3bo24bobobobo10bo17bobobo26bobo7bo26bobo$b2o4b2o27b2o4b2o52b2o4b2o
42b2o37b2o35b2o29b2o27b2o32b2o35b2o40b2o33b2o31b2o25b2o30b2o35b2o9bo
21b2o39b2o3b2o26b2o3b2o35b2o3b2o4bo23b2o3b2o8b2o18b2o2bob2o23b2o35b2o$
7bobo32bobo57bobo466bo187b2o21bo2bo31bo$8bo34bo59bo679b2o2b3o27b2o$
601b2o184bo28bobo$601bobo184bo$81bo519bo150b2o$81b2o514b3o152bobo$80bo
bo516bo152bo$598bo149b3o$750bo$749bo$78b2o$79b2o$78bo3$103bobo$104b2o$
104bo$100b3o$102bo$101bo$93b2o$94b2o$93bo!
The changing of the stator in the second one uses this new inducting-snake-to-tub converter:

Code: Select all

x = 14, y = 21, rule = B3/S23
12bo$10b2o$7bo3b2o$5bobo$6b2o2$8bo$7bo$7b3o2$4bobo5bo$2o3b2o4bo$b2o2bo
5b3o$o2$6bob2o$6b2obo2$4b5o$3bo2bo2bo$3b2o3b2o!

Re: Synthesising Oscillators

Posted: July 3rd, 2015, 5:03 am
by Sokwe
A recent 5-glider blocker synthesis by Boris Shemyakin reduces the synthesis of the p16 bi-block hassler to 12 gliders.

Code: Select all

x = 266, y = 25, rule = B3/S23
140bo$138b2o$139b2o76bo$216bo$216b3o$173b2o38b2o$172bo2bo36bo2bo$173b
2o38b2o2$130bo$131b2o$130b2o$171b2o2bo35b2o2bo35b2o2bo$3bo163b2o2b2o3b
o30b2o2b2o3bo30b2o2b2o3bo$bobo163b2o7bo30b2o7bo30b2o7bo$2b2o37b2o28b2o
28b2o24b2o12b2o29b4o5b2o29b4o5b2o29b4o5b2o$41b3o27b3o27b3o22bobo12b3o
37b3o37b3o37b3o$41b2obo21bo4b2obo26b2obo23bo12b2obo36b2obo36b2obo36b2o
bo$5b2o36bobo18bobo6bobo20b2o5bobo30b2o5bobo31bo5bobo31bo5bobo31bo5bob
o$6b2o34bo2bo19b2o5bo2bo20b2o4bo2bo30b2o4bo2bo30b2o4bo2bo30b2o4bo2bo
30b2o4bo2bo$3o2bo13b2o22b2o28b2o28b2o38b2o38b2o38b2o38b2o$2bo15b2o45b
2o29b2o22bo15b2o38b2o38b2o38b2o$bo7b3o8bo43bobo29b2o22b2o14b2o39bo39bo
39bo$11bo54bo52bobo$10bo!

Re: Synthesising Oscillators

Posted: July 4th, 2015, 8:47 pm
by Extrementhusiast
And here's two more small oscillators:

Code: Select all

x = 382, y = 100, rule = B3/S23
161bo$162bo$160b3o$175bobo$175b2o$165bo10bo$166bo$164b3o$176bo$175bo$
175b3o$151bo$149bobo26b2o$150b2o26bobo$178bo17bo$156bo12b2o25bo$154bob
o8b2o2bobo22bo2bobo$155b2o8b2o3bobo20b2o3bobo$172bo27bo$172b2o17b2o7b
2o$164b2o27bo$164bobo27bo$165bo27bo$166b3o25b3o$168bo27bo2$152b2o4b2o$
153b2o2bobo$152bo6bo$161b3o$161bo$162bo35$41bo$27bo11bobo3bo$25bobo12b
2o3bobo48bo$26b2o17b2o47bobo252bo$43bo51b2o38bo3bo181bo3bo24b2o$11bo
30b2o61bo27bobo3bobo20bo159b2obobo21b2o$9b2o31bobo59bo29b2o3b2o19bobo
158b2o2b2o19bo$5bobo2b2o92b3o54b2o184bo$6b2o41bobo11b2o23b2o34b2o9b3o
17b2o7bo17b2o30b2o25b2o17bo18b2o25b2o37b3o3b2o$6bo42b2o12bo24bo35bo10b
o19bo8bobo15bo31bo26bo16b2o19bo26bo19bobo22bo$50bo13b3ob2o19b3ob2o30b
3ob2o5bo19b3ob2o2b2o17b3ob2o26b3ob2o21b3ob2o11b2o19b3ob2o21b3ob2o13b2o
24b3ob2o17b2ob2o$b2o7bo28b2o25bobo2bo19bobo2bo30bobobo26bobobo22bobo
29bobo24bobo35bobo24bobo15bo26bobo19bobo$obo7b2o26bobo27bob2o21bob2o
32bobo28bobo24bo2bo28bo2bo23bo2bo34bo2bo23bo2bo32bobo6bo21bo$2bo6bobo
26bo29bo24bo13bo21bob2o27bobobo22bobobo3bo23bobobo22bobobo33bobobo22bo
bobo32b2o6bob2o15bo2bob2o$28b2o6bobo27bobo21b2obo11b2o19b2obo27b2obo2b
2o19b2obo2b2ob2o21b2obo2bo20b2obo2bo31b2obo2bobo18b2obo2bobo31bo4b2obo
bo15b3obobo$29b2o5b2o28b2o21bo2bo13b2o17bo2b2o26bo2b2o22bo2b2o6b2o19bo
2b2o22bo2b2o33bo2b2o3b2o17bo2b2o3b2o35bo2b2obo14bo3b2obo$28bo32bobo25b
2o34b2o29b2o25b2o30b2o26bo30bobo4bo25b2o43b2o3bo16b2o3bo$62b2o132b3o
24bobo18b3o28b2o5b3o24b3o35b3o4b3o19b3o$62bo38b3o92bo26b2o21bo28bo8bo
24bo2bo36bo4bo21bo$101bo52b2o25b2ob2o11bo15b2ob2o6bo85b2o36bo$60b2o40b
o6bo44b2o2b2o21b2obobo25bobobobo3bo33bo93bo$48b2o11b2o32b2o11b2o42b2o
3b2o16bo3b2o4bo22b3o2bo3bo3b2o33b2o18b2o71b2o$47b2o11bo25b2o6b2o12bobo
41b2o5bo16b2ob2o29bo10bobo31bobo3bo15b2o4b2o64bobo$49bo37b2o7bo24b3o
51b2o32bo49b2o15bo7b2o$86bo3b3o30bo136b2o21bo3b2o$90bo31bo58bo30bo73b
2o$91bo88b2o30b2o74bo34b2o$125b2o53bobo28bobo109bobo$125bobo154b2o39bo
$125bo157b2o$282bo26bo$123b2o184b2o$122bobo183bobo$124bo!

Re: Synthesising Oscillators

Posted: July 4th, 2015, 10:25 pm
by mniemiec
Extrementhusiast wrote:And here's two more small oscillators:
Nice! The first one is only 21 bits, so I'll have to add it to my list of 21-bit P3s. I had believed my list to be complete, except possibly for exotic oscillators that have never been seen before, which are probably out there (e.g. there were around ten new 20-bit ones that were found by computer search that I had missed when I had made that list in the '90s). Where did you first see this oscillator? I didn't see it on pentadecathlon.com's lists (which I have been using to list the few exotic oscillators from 21-25 bits, beyond the myriads of trivial obvious ones).

The second last step in the bottom synthesis destroys the still life instead of converting it. I assume this is a typo?

Re: Synthesising Oscillators

Posted: July 4th, 2015, 10:59 pm
by Extrementhusiast
mniemiec wrote:
Extrementhusiast wrote:And here's two more small oscillators:
Nice! The first one is only 21 bits, so I'll have to add it to my list of 21-bit P3s. [...] Where did you first see this oscillator? I didn't see it on pentadecathlon.com's lists (which I have been using to list the few exotic oscillators from 21-25 bits, beyond the myriads of trivial obvious ones).
The jslife collection, o0003.lif, SW corner.
mniemiec wrote:The second last step in the bottom synthesis destroys the still life instead of converting it. I assume this is a typo?
Apparently, two gliders were dropped during transport. Here's the corrected step:

Code: Select all

x = 25, y = 32, rule = B3/S23
17bo3bo$18b2obobo$17b2o2b2o2$2b2o$2bo19bobo$3b3ob2o13b2o$5bobo15bo$7bo
2bo$7bobobo$4b2obo2bobo$3bo2b2o3b2o$3b2o$5b3o$5bo2bo$6b2o7$19b2o$19bob
o$19bo2$5bo$5b2o$4bobo15b2o$bo20bobo$b2o19bo$obo!
EDIT: An unexpected component:

Code: Select all

x = 72, y = 28, rule = B3/S23
11bo$12bo$10b3o3$29bo41bo$27b3o39b3o$14bo7b2o2bo37b2o2bo$12bobo7bobo2b
o31b2o3bo4bo$6b2o5b2o8bo4bo30b2o4b4obo$4b2ob2o17bobo34bobo3bo$4b4o8b2o
8b2o31b5o2bobo$5b2o10b2o40bo5b2ob2o$11bo4bo44bo$12b2o7b2o37b2o$11b2o7b
obo7b2o$22bo7bobo$16bo13bo$8b3o5b2o8b2o$10bo4bobo7b2o6b3o$9bo17bo5bo$
34bo2$16b3o5b3o$b2o8b2o2bo2bo4bo2bo$obo7bobo5bo7bo$2bo9bo5bo7bo$15bobo
5bobo!
The standard two-glider collision for the eater would have worked, if one of the gliders for the right-hand part didn't stick its rear end out so far.

EDIT 2: And that correction is now moot:

Code: Select all

x = 21, y = 26, rule = B3/S23
17bobo$17b2o$18bo2$11bo$2o10b2obo$o10b2o2bobo$b3ob2o8b2o$3bobo$5bo2bo$
5bobobo$2b2obo2bobo6bo$bo2b2o3b2o6bobo$b2o14b2o$3b3o$3bo2bo$4b2o3$12b
3o$12bo$13bo2$18b3o$18bo$19bo!
Thunderbird in three gliders:

Code: Select all

x = 7, y = 8, rule = B3/S23
bo$bobo$b2o2$o$b2obo$2o2bobo$4b2o!
EDIT 3: Another pair of oscillators, extra-expensive edition:

Code: Select all

x = 1861, y = 141, rule = B3/S23
788bo$789bo$787b3o2$791bo$792bo$790b3o$801bobo254b2o$761bo28bo10b2o
255b3o166bo$759bobo28b2o10bo254bob2o167bo$760b2o27bobo90bobo172b3o166b
3o$672bo66bobo14b3o4b2o117b2o25bo148bo$673b2o64b2o17bo5b2o36bo80bo23bo
bo139bobo$672b2o7bo58bo16bo5bo36b2o9bo96b2o21bo3bo114b2o$679b2o44bo9bo
48bo16b2o6b2o23bo23b2o23b2o18bo25bobo3bobo112bo5bobo$676bo3b2o43b2o3bo
4bobo44bobo7bo17b2o13bo6bobo23b2o18b2o3b2o19b2o4bo19b2o3b2o119b2o171bo
bo$665bo11b2o45bobob2o5b2o7bobo36b2o7b2o12bo19bo6b2o25b2o17b2o4b2o16b
2o4bobo145bo172b2o$666bo9b2o20bobo28b2o13b2o46b2o11b2o17b3o33b2o16bo6b
2o23b2o21b3o117bo176bo$664b3o32b2o44bo34bo12bo11bobo20b3o10b2o21b2o23b
2o23b2o19bo5bo23bo26bo31bo23bo3bo6bo21b2o23b2o28b2o36b2o30b2o32b2o19b
2o$699bo81b2o47bo10bobo15bo4bobo18b2o2bobo18b2o2bobo17bo5bobo21bobo24b
obo29bobo20bobo3b3o3bobo20bobo22bobo27bobo35bobo29bobo31bobo18bobo$
768b2o10b2o15b2o30bo13bo2b2o11b2o5bo2b2o13bobo4bo2b2o13bobo4bo2b2o18bo
2bo2b2o16bo2bo2b2o19bo2bo2b2o24bo2bo2b2o17b2o8bo2bo2b2o18bo2b2o20bo2b
2o25bo2b2o33bo2b2o27bo2b2o21bo7bo2b2o16bo2b2o$639bobo32b2o16bob2o31bob
2o9b2o19bob2o2bobo20bob2o2bobo43b2obobo10bobo4b2obobo14bo4b2obobo14bo
4b2obobo18bob2obobo16bob2obobo9bo9bob2obobo24bob2obobo27bob2obobo17b2o
bobo19b2obobo9bobo12b2obobo32b2obobo26b2obobo22bo5b2obobo15b2obobo$
640b2o32bo2bo14b2obo2bo11b2o15b2obo2bo5b2o6bo13b2obo2bo22b2obo2bo12bo
32bo2bo19bo2bo21bo2bo21bo2bo19b2obo2bo16bobobo2bo12bo5b2obobo2bo24bobo
bo2bo27bobobo2bo18bo3bo20bo3bo12b2o11bo3bo33bo3bo27bo3bo22b3o4bo3bo16b
o3bo$640bo3bo16b3o11b3o18b3o11bobo18b3o2bo4bo4b2o17b3o2bo23b3o2bo8b2o
33b3o2bo17b3o2bo19b3o2bo19b3o2bo20b3o2bo13b2o3b3o2bo7b3o5bobo3b3o2bo
20bobo3b3o2bo23bobo3b3o2bo15b5o2bo17b5o2bo9bo12b5o2bo30b5o2bo24b5o2bo
26b5o2bo13b5o2bo$644bobo16bo3b3o8b2o19b2o9bo23b3o9bobo19b3o11b2o13b3o
8bobo35b3o20b3o22b3o11b2o9b3o23b3o9bo11b3o16bo7b3o19bobo7b3o16bo5bobo
7b3o20b3o22b3o27b3o35b3o13bobo13b3o17b2o12b3o18b3o$638b2o4b2o16bo6bo7b
o2bo17bo2bo31bo33bo13bobo12bo48bo22bo24bo15b2o7bo25bo10bobo10bo26bo21b
obo7bo20bo3bobo7bo18b2o2bo20b2o2bo14bobo8b2o2bo33b2o2bo17b2o8b2o2bo19b
obo7b2o2bo16bo3bo$638bobo27bo9b2o19b2o32b2o32b2o14bo12b2o48bo22bo24bo
13bo3b2o5bo25bo10b2ob2o8bo26bo21bo9bo17b3o2bobo9bo17b2o3bo19b2o3bo14b
2o7bobo3bo32bobo2bo16bo9bo4bo20bo7bo4bo14bo5bo$638bo208bo22bo24bo15b2o
7bo25bo12bobo8bo17b2o7bo31bo20bobo11bo22bo22b2o14bo9bo3b2o35b2o28b4o
30b4o15b6o$846b2o21b2o23b2o17bo5b2o24b2o12bo9b2o13bo2b2o7b2o30b2o20b2o
4bo6b2o21b2o15bo$652bo331b2o3bo66b2o45b2o2b2o18b2o41bo38b2o7bo22b2o19b
2o$651b2o129b3o198bobo69bobo24bo19bobob2o20b2o38bobo37bobo7bobo20b2o
19b2o$651bobo47bo82bo297b2o6b2o16bo18bo23b4o14b2o38bo8b2o$701b2o80bo
227b2o5b3o60bobo6bobo39b2o17bo3bo17b3o$700bobo3bo305b2o4bo40b3o28bo15b
2o23bobo11bo5bo15b2o6bo39b3o$704b2o305bo7bo39bo24b3o18bobo25bo10b2o6bo
2bo10bobo5bo40bo$705b2o353bo23bo22bo36bobo21bo30b3o14bo$1017b2o35b3o
28bo50b2o63bo$1005b2o11b2o36bo79bobo61bo$1006b2o9bo37bo80bo77b2o$1005b
o123b2o83bobo$1130b2o82bo$1129bo5$1134b2o$1133bobo$1135bo34$1788bo$
1789b2o$1788b2o$1806bo$1806bobo$1806b2o$1817bo$1794bobo19bo$1795b2o4bo
14b3o$683bobo29bobo1077bo3bobo$75bobo606b2o29b2o1033bo49b2o$75b2o607bo
31bo1031bobo$76bo1672b2o$473bo27bo$304bo166bobo27bobo1247bo63bo$304bob
o165b2o27b2o192bobo5bobo1040bo3bo62b2o$304b2o28bo9bo351b2o5b2o1042b2ob
3o46b2o13b2o$64b2o269b2o5b2o352bo7bo1041b2o39bo11bobo6bo$63b2o90bo152b
o25b2o7b2o35bo5bo88bo23bo191bobo13bobo1078bo11b2o6bobo$59bobo3bo6bo80b
2o150bo2bobo70bo3bo90bo21bo193b2o13b2o81bo49bo945b3o19b2o$60b2o8b2o75b
obo4b2o119bo27bobo2b2o24bo9bo34b3o3b3o48b2ob2o33b3o8b2ob2o8b3o34b2ob2o
45b2ob2o25b2ob2o35b2ob2o32bo5b2ob2o5bo80bo51bo530bo28bo135bo55bo232b2o
$60bo10b2o74b2o127bo27b2o28b2o7b2o30b3o11b3o44b2ob2o44b2ob2o45b2ob2o
45b2ob2o25b2ob2o35b2ob2o38b2ob2o86b3o47b3o529bo30bo135bo53bo232b4o$
148bo125b3o56bobo7bobo31bo11bo397bo55bo368bo43bo114b3o26b3o133b3o53b3o
229b2ob2o$278bo97bo4b2ob2o4bo36bo8b2ob2o8bo35b2ob2o45b2ob2o45b2ob2o25b
2ob2o35b2ob2o38b2ob2o82bobo55bobo261bo23bo79bo45bo111bo170bo284b2o$91b
2o34b2o49b2o10bo28b2o46b2o9bobo23b2o31b2ob2o40bobo40bobo9bobo9bobo21b
4o7bobobobo7b4o32bobobobo43bobobobo23bobobobo23bo9bobobobo9bo26bobobob
o82b2o55b2o263b2o19b2o80b3o41b3o109bobo170bobo$39bo51bo2bo32bo2bo47bo
2bo7bo29bo2bo44bo2bo7b2o5bo18bo2bo23b2o4bo3bo4b2o33bo3bo40b2o2b2o4bo3b
o4b2o2b2o21bo3bo3bo4bo3bo4bo3bo3bo32bo3bo45bo3bo25bo3bo25bo9bo3bo9bo
13bobo12bo3bo12bobo389b2o21b2o77bo49bo108b2o170b2o$37bobo3bo48b3o33b3o
48b3o7b3o28b3o45b3o12b2o20b3o24b2o4b3o4b2o35b3o38b2o6b2o4b3o4b2o6b2o
22bobobo5b3o5bobobo27bo9b3o9bo37b3o27b3o24b3o10b3o10b3o12b2o13b3o13b2o
218bo21bo249bobo49bobo218bo195bo75bo101b3o$38b2ob2o241b2o45bo15bo74bob
o5bo15bo5bobo17bo2bo3b2o13b2o3bo2bo17b3o4bo2b2o11b2o2bo4b3o25b2o11b2o
15b2o11b2o25b2o11b2o19bo8b2o11b2o8bo109b2o36b2o11b2o15b2o11b2o20b3o4bo
2b2o11b2o2bo4b3o15b2o11b2o29b2o11b2o170b2o49b2o220bo193bo76bobo50b2o
48bo$42b2o16b2o30b3o33b3o11bo36b3o10b2o26b3o45b3o34b3o30b3o41b3o39bo
12b3o12bo33b3o33bo2b3o2bobo3b3o3bobo2b3o2bo27bobo3b3o3bobo15bobo3b3o3b
obo25bobo3b3o3bobo28bobo3b3o3bobo71b3o43bo2bo20b3o12bobo9bo2bo14bobo9b
o2bo21bo2b3o2bobo9bobo2b3o2bo17bobo9bobo29bobo9bobo25b2o11b2o34b2o11b
2o284b2o66b3o100b2o91b3o74b2o51b2o$19bo15b2o22bo2bo28bo3bo31bo3bo9bo
36bo3bo3b2o4bobo24bo3bo43bo3bo32bo3bo9bo18bo3bo39bo3bo50bo3bo44bo3bo
31bo10bo2bo3bo2bo10bo28bo2bo3bo2bo19bo2bo3bo2bo21b3o5bo2bo3bo2bo5b3o
16bobo5bo2bo3bo2bo5bobo36bobobo26bo8b2o3bobobo3b2o20b2obo2bobobo3b2o8b
o16bo2bobobo2bob2o16bo2bobobo2bob2o20bo10bo2bobobo2bo10bo18bo2bobobo2b
o33bo2bobobo2bo27bobo9bobo34bobo9bobo190bobo25bobo13b3o46bo2bo26bo105b
3o32bo2bo49bo120b2o97b3o$5bo12bo15bobo21bob3o27bob3o31bob3o10b3o33bob
3obobobo4bo25bob3obob2o38bob3obob2o27bob3obo7bo18bob3obo37bob3obo48bob
3obo42bob3obo40b2obob3obob2o26bo9bobobob3obobobo17bobob3obobobo9bo11bo
5bobob3obobo5bo19b2o4b2obob3obob2o4b2o33b2obob3obob2o21bo9bobobob3obob
obo23bobob3obobobo9bo14b2obob3obobo18b2obob3obobo33b2obob3obob2o26bobo
bob3obobobo29bobobob3obobobo27bo2bobobo2bo38bo2bobobo2bo32bo9bobobo9bo
35bobobo20b2o3bobobo30b2o3bobobo3b2o21b2o5b2o3bobobo3b2o5b2o16bo8b2o3b
obobo3b2o23b2obo2bobobo3b2o12bobo5bo7bobobo3b2o28bobobo3b2o26bobobo3b
2o8bo27bobobo2bob2o31bobobo7bo5bobo23bobobo48bobobo27bobobo5bobo41bobo
bo49bo3bo$6bo11b3o9b2o2bo19b2o2bo27b2o2bo31b2o2bo18b3o25b2o2bo5bobo28b
2o2bo5bobo35b2o2bo5bobo24b2o2bo5bo7b3o12b2o2bo5bo2b2o29b2o2bo5bo2b2o
40b2o2bo5bo2b2o34b2o2bo5bo2b2o29b3o7bo5bo7b3o20bo8b2o2bo5bo2b2o14b2obo
bo5bo2b2o8bo11bo3b2obobo5bobob2o3bo18bo6bobo5bobo6bo19b2o4bo8bobo5bobo
8bo4b2o19bobo5bobo25bobo5bobo29bo5bobo21bo5bobo26b3o7bo5bo7b3o19b2o2bo
5bo2b2o29b2o2bo5bo2b2o25bobobob3obobobo34bobobob3obobobo31bo7bob3obo7b
o20b3o12bob3obo18bo2bobob3obo12b3o13bo2bobob3obobo2bo20bo6bobobob3obob
obo6bo15bo9bobobob3obobobo26bobob3obobobo13b2o6b2o4bob3obobobo27bob3ob
obobo25bob3obobobo9bo25bob3obobo33bob3obo4b2o6b2o23bob3obo46bob3obo25b
ob3obo4bo42bob3obo47bo5bo$4b3o7b3o13bobobobo17bobobob3o23bobobob3o27bo
bobob3o14bo27bobobob3obobobo26bobobob3obobobo9bo23bobobob3obobo24bobob
ob3obob2o19bobobob3obobobo29bobobob3obobobo40bobobob3obobobo34bobobob
3obobobo31bo7bob3obo7bo20b3o12bob3obo18bo2bobob3obo12b3o13bo2bobob3obo
bo2bo20bo6bobobob3obobobo6bo18b2o4bo5bobobob3obobobo5bo4b2o19b2obob3ob
ob2o23b2obob3obob2o28bob3obob2o20bob3obob2o27bo7bob3obo7bo25bob3obo37b
ob3obo29b2o2bo5bo2b2o34b2o2bo5bo2b2o29b3o7bo5bo7b3o20bo8b2o2bo5bo2b2o
14b2obobo5bo2b2o8bo11bo3b2obobo5bobob2o3bo18bo6bobo5bobo6bo29bobo5bobo
28bobo5bobo18b2o2b2o5bo5bobo29bo5bobo27bo5bobo37bo5bobo33bo5bo5b2o2b2o
26bo5bo46bo5bo25bo5bo47bo5bo47bobobobo$3o11bo17bo2b2o19bo2bo2bo25bo2bo
2bo29bo2bo3bo14bo28bo2bo3bo3b2o28bo2bo3bo3b2o8bo26bo2bo3bo2bob2o23bo2b
o3bo2bo10bo11bo2bo3bo2bo33bo2bo3bo2bo44bo2bo3bo2bo38bo2bo3bo2bo32bo9bo
3bo9bo35bo3bo20b2o3bo3bo30b2o3bo3bo3b2o21b2o5b2o3bo3bo3b2o5b2o17bo4b3o
5b2o3bo3bo3b2o5b3o4bo22bo3bo31bo3bo33bo3bo25bo3bo30bo9bo3bo9bo25bo3bo
39bo3bo34bob3obo42bob3obo40b2obob3obob2o26bo9bobobob3obobobo17bobob3ob
obobo9bo11bo5bobob3obobo5bo19b2o4b2obob3obob2o4b2o28b2obob3obob2o26b2o
bob3obob2o16bobo8b2ob3obob2o15bo11b2ob3obob2o25b2ob3obob2o35b2ob3obob
2o31b2ob3ob2o8bobo24b2ob3ob2o11bo32b2ob3ob2o23b2ob3ob2o45b2ob3ob2o45b
2obobob2o$2bo12bo14bobo9b2o10bobo3b2o24bobo3b2o28bobo3b3o42bobo3b3o32b
obo3b3o14b3o22bobo3b3o3bo2bo21bobo3b3o3bobo2b3o2bo10bobo3b3o3bobo29bob
o3b3o3bobo40bobo3b3o3bobo34bobo3b3o3bobo41b3o47b3o27b3o37b3o26bobo11b
3o11bobo35b3o42b3o33b3o35b3o27b3o42b3o37b3o41b3o36bo3bo44bo3bo31bo10bo
2bo3bo2bo10bo28bo2bo3bo2bo19bo2bo3bo2bo21b3o5bo2bo3bo2bo5b3o16bobo5bo
2bo3bo2bo5bobo31bobobo34bobobo22bo10bobobo19b2o9bo2bobobo28bo2bobobo
38bo2bobobo34bo2bobobo10bo25bo2bobobo2bo9b2o31bo2bobobo2bo21bo2bobobo
2bo30b2o11bo2bobobo2bo43bo2b2ob2o2bo$bo28b2o6b2ob2o11b2o30b2o34b2o49b
2o15b2o22b2o46b2o11b2o22b2o11b2o2bo4b3o8b2o11b2o29b2o11b2o40b2o11b2o
34b2o11b2o322b2o97b2o60bo15bo61bo12b3o12bo33b3o33bo2b3o2bobo3b3o3bobo
2b3o2bo27bobo3b3o3bobo15bobo3b3o3bobo25bobo3b3o3bobo28bobo3b3o3bobo
112b2o23bobo10b2o33b2o44b2o40b2o6b2o34b2o6b2o10bobo30b2o7b2o20bobo7b2o
31b2o9bobo7b2o43b2o7b2o$37bobo3bo84b3o48b3o7b2o29b3o45b3o34b3o9bo20b3o
41b3o52b3o46b3o47b3o37b2o8b3o27b3o8b2o27b3o40b3o34b3o12b3o12b3o27b3o
19b2o12b3o35b3o27b3o12b2o28b3o31b2o4b3o4b2o35b3o22bobo5bo15bo5bobo17bo
2bo3b2o13b2o3bo2bo17b3o4bo2b2o11b2o2bo4b3o25b2o11b2o15b2o11b2o25b2o11b
2o19bo8b2o11b2o8bo21bo56bo24bo86bo27bo54bo77bo41bo40bo11b2o$39bo88bo2b
o47bo2bo8bo28bo2bo44bo2bo33bo2bo29bo2bo40bo2bo51bo2bo45bo2bo46bo2bo35b
obo8bo2bo26bo2bo7bobo26bo2bo39bo2bo35bo12bo2bo11bo29bo2bo17bo5b2o7bo2b
o34bo2bo25bo2bo7b2o5bo26bo2bo30b2o4bo3bo4b2o33bo3bo22b2o6b2o4b3o4b2o6b
2o22bobobo5b3o5bobobo27bo9b3o9bo37b3o27b3o24b3o10b3o10b3o12b2o13b3o13b
2o21b2o2b2o29bo7b3o9b2o27bo79b2o2b2o28b2o9b3o7bo30bo77bobo$129b2o49b2o
39b2o8b2o36b2o35b2o31b2o42b2o53b2o35b2o10b2o9b2o37b2o38bo9b2o28b2o8bo
29b2o41b2o35bo14b2o13bo29b2o23bobo8b2o36b2o26b2o9bobo31b2o38b2ob2o40bo
bo26b2o2b2o4bo3bo4b2o2b2o21bo3bo3bo4bo3bo4bo3bo3bo32bo3bo45bo3bo25bo3b
o25bo9bo3bo9bo13bobo12bo3bo12bobo19bobob2o28bobo20b2o25b2o25b3o52b2obo
bo26b2o20bobo28b2o52b3o18b2o2b2o34b2o$231bobo242b2o19b2o80b3o41b3o198b
o85bo112bo4b2ob2o4bo19bobo9bobo9bobo21b4o7bobobobo7b4o32bobobobo43bobo
bobo23bobobobo23bo9bobobobo9bo26bobobobo39bo28b2o42bo33bo13b2o36bo54b
2o35bo32b2o13bo19bobo39b2o2bo$96bo51bo82bo243bo23bo79bo45bo200b3o41bo
35b3o71bobo7bobo31bo11bo22bo8b2ob2o8bo35b2ob2o45b2ob2o45b2ob2o25b2ob2o
35b2ob2o38b2ob2o113b2o31bo14bobo126b2o31bobo14bo20bo38bo3b2o37b3o2b2o$
95bo51b2o78b3o350bo43bo201bo43b2o2b2o32bo35b2o35b2o7b2o30b3o11b3o367b
3o38bobo7b2o37bo89b3o27b2o7bobo32bo42bo16bo18bobo38bob2o$95b3o49bobo
79bo597bo41bobob2o32bo35bobo2b2o31bo9bo34b3o3b3o33b2ob2o44b2ob2o45b2ob
2o45b2ob2o25b2ob2o35b2ob2o38b2ob2o73bo48bobo32b3o91bo28bobo44b3o38b2o
14b2o58bo4bo$93bo134bo646bo69bo2bobo77bo3bo35b2ob2o33b3o8b2ob2o8b3o34b
2ob2o45b2ob2o25b2ob2o35b2ob2o32bo5b2ob2o5bo66bo49bo36bo92bo29bo44bo39b
obo3b2o9bobo$92b2o854bo32b2o7b2o35bo5bo74bo21bo193b2o13b2o141b3o8bo8b
2o149b2o8bo8b3o34b2o$92bobo887b2o5b2o116bo23bo191bobo13bobo142bo17bobo
147bobo17bo35bo98b3o$944b2o35bo9bo336bo7bo146bo18bo151bo18bo133bo$944b
obo381b2o5b2o73b3o169b3o223bo$944bo159b2o27b2o192bobo5bobo74bo169bo$
1103bobo27bobo275bo171bo208b2o$1105bo27bo353b2o179b2o121bobo$1486bobo
179bobo122bo15b2o$1316bo31bo139bo179bo117b3o20bobo$98b2o1216b2o29b2o
439bo20bo$98bobo1214bobo29bobo437bo$98bo$1772b3o$1774bo$1773bo!
EDIT 4: Two more oscillators, both previously unknown:

Code: Select all

x = 102, y = 31, rule = B3/S23
74bobo$18bo42bo13b2o23bo$18bobo7bo33bo12bo8bo14bo$o17b2o8bobo29b3o19b
2o15b3o$b2o25b2o53b2o$2o14b2o$16bobo12bo$12b2o4bo12bobo$13b2o3b2o11b2o
$12bo15bo$26b2o$7b2o18b2o49b2o2b2o$6bobo68bobo2bobo$8bo23b3o44bo2bo$
10b2o20bo$10bobo20bo$10bo25b2o$36bobo$36bo26b3o30b3o$65bo30bo$23bo40bo
32bo$22b2o$22bobo2$10bo$10b2o$9bobo2$21bo$20b2o$20bobo!
EDIT 5: 15.116 down to six gliders:

Code: Select all

x = 31, y = 18, rule = B3/S23
10bo$11bo$9b3o5$4bo$5bo5b2o$3b3o4b2o$12bo11b2o$23bobo3b2o$23bo5bo$12b
2o10b4obo$11b2o13bobo$3o5b2o3bo$2bo4bobo$bo7bo!
EDIT 6: 201-glider savings on T-nosed P4:

Code: Select all

x = 295, y = 59, rule = B3/S23
207bo$208bo$206b3o2$221bo$222bo20bo$220b3o20bobo$227bo15b2o$225bobo$
226b2o2$242bo$241bo$10bo17bo212b3o$2bo5bobo16bo$obo6b2o16b3o$b2o210bo
4bo$69bobo55bo28bo57bob2o$44bobo18bo3b2o56bobo24b2o56b3o2b2o$45b2o19b
2o2bo56b2o26b2o$45bo3bo15b2o56bobo$50b2obobo68b2o28bo$43bo5b2o2b2o17bo
8bo9b2o11bo10b2o7bo16b2o10b2o20b2o40bo11b2o$42bobo9bo16bobo5b2o10bobo
6bo2bo11bobo23bobo9bobo19bobo7b2o31b2o9bobo7b2o43b2o7b2o$43bo2b2o24bo
2bobo2b2o10bo2bobobobob3o10bo2bobob2o17bo2bobob2o25bo2bobobo2bo30b2o
11bo2bobobo2bo43bo2b2ob2o2bo$44b2obo25b2ob2o15b2ob2ob2o16b2ob2ob2o18b
2ob3obo26b2ob3ob2o45b2ob3ob2o45b2obobob2o$45bo28bo19bo23bo25bo13bobo
17bo5bo47bo5bo47bobobobo$45bobo26bob2o16bob2ob2o17bob2ob2o19bob3obo3b
2o2b2o18bob3obo4bo42bob3obo47bo5bo$46b2o27bobo2b2o13bobobobob3o13bobob
2o20bobob2o3bobo2bo19bobobo5bobo41bobobo49bo3bo$16b2o4bobo29bo24b2o19b
o2bo50bo34b2o97b3o$15bobo4b2o25b2o2b2o26bo22bo19bo36b2o23b2o51b2o$5bo
11bo5bo26b2obobo68b2o29bo5bobo22bobo50b2o48bo$5b2o38bo3bo73bobo23b2o3b
3o4bo24bo101b3o$4bobo16b2o20b2o80b2o19bobo3bob2o$24b2o18bobo80bobo20bo
4b3o$23bo103bo27b2o102b2o$258b2ob2o$259b4o$260b2o$220b3o19b2o$222bo11b
2o6bobo$180b2o39bo11bobo6bo$181b2ob3o46b2o13b2o$180bo3bo62b2o$185bo63b
o2$183b2o$182bobo$184bo49b2o$229bo3bobo$229b2o4bo14b3o$228bobo19bo$
251bo$240b2o$240bobo$240bo$222b2o$223b2o$222bo!
EDIT 7: Took another glider off of 15.116 after finding something relevant in my notes:

Code: Select all

x = 28, y = 15, rule = B3/S23
bobo$2b2o4bo$2bo4bo$7b3o$bo$2bo$3o$21b2o$20bobo3b2o$20bo5bo$9b2o10b4ob
o$8b2o13bobo$5b2o3bo$4bobo$6bo!
EDIT 8: Yet again, two more oscillators:

Code: Select all

x = 887, y = 144, rule = B3/S23
349bo$350b2o$349b2o396bo$747bobo$747b2o$288bo80bo$289bo12bo48bo16bo38b
obo54bobo$287b3o13b2o47b2o4bo9b3o36b2o56b2o$117bo73bo110b2o47b2o6b2o
13bo33bo56bo$116bo72bobo166b2o12b2o354bo$116b3o71b2o104bo7bo68b2o4bo
32bo48bo264bobo13bo$109bo187b2o4bo75bobo27bo2bobo44bobo2bo222bo30bobo
6b2o11b2o39bo$107bobo5bo9bobo33bobo58bo28bo37bobo4b2o5b3o73b2o26bobo2b
2o46b2o2bobo184bo35bobo29b2o10bobo7b2o36b2o$108b2o3bobo4bo4b2o34b2o57b
obo2bo25bobo31b3o2b2o34bobo79b2o54b2o142bo10bo32bo34b2o30bo12b2o46b2o$
114b2o2b2o6bo35bo33bo24b2o2bobo23b2o34bo2bo31bo3b2o48b3o230b2o7bo31b3o
59bo19bo$54bo64b2o36bobo35bo29b2o22bo36bo36b2o2bo48bo63bo167b2o8b3o33b
o31bo23bobo53bo$52bobo103b2o35b3o19bo29bobo44b2o26b2o53bo63bo174bo37bo
bo27bobo8bo15b2o2b2o50bo$53b2o35bo27bo39bo56bobo30b2o43bo2bo142b3o172b
obo37b2o29b2o6b2o19bobo48b3o17bobo$91bo27bo13bo64b2o11b3o2b2o9b2o65b2o
33bo34b2o77bo171b2o41bo35b2o20bo14b2o11b2o26b2o11b2o$89b3o20bo4b3o11b
2o26b2o25b2ob2o7bobo12bo9b2o2bobo24b2o3b2o38b2o3b2o22bobo3b2o28bobo3b
2o36b2o22b2o9bobo18b2o32b2o34b2o39b2o29b2o42b2o5bo22b2o44b2o2bo2bo10bo
bo16b2o8bo12bo$65b2o26bo18b2o18b2o24bo2bo24bo3bo7bo13bo4bo5bo5bo24bo2b
o2bo15b3o20bo2bo2bo23bo2bo2bo29bo2bo2bo8bo25bo2bo22bo2bo7b2o19bo2bo28b
o2bo32bo2bo37bo2bo27bo2bo12bobo25bo2bo5b3o19bo2bo42bo2bo2bobo10bo17bob
o7bo3bo29bo$60b2o2bo2bo24bo18bobo44b3o26b3o27b2o5b5o20b2o4b5o18bo15b2o
4b5o25b5o19b2o10b5o8b2o25b3o24b3o29b3o28b3o33b3o38b3o28b3o13b2o26b3o
28b3o43b3o4bo31bo7b5o29b3o$61b2obo2bo24b3o27b2o92bobo29bobo26bo10b3o2b
obo59b2o22bobo239bo38b2o115b2o30bo$60bo4b2o55b2o36b3o26b3o34b3o19b2o7b
3o30bo2b2o7b3o27b3o19bo13b3o35b3o11bo12b3o29b3o3b2o23b3o3b2o28b3o3b2o
6bo26b3o3b2o23b3o3b2o36b3o3b2o4bobo16b3o3bo39b3o3bo8b3o29b3o2bo26b3o2b
o$69bo18b2o28b2o39bo3bo24bo3bo32bo3bo26bo3bo28bo11bo3bo25bo3bo31bo3bo
33bo3bo8b2o12bo3bo12b3o12bo3bobo2bo21bo3bobobo27bo3bobobo6bobo2bo20bo
3bobobo22bo3bobobo11bo23bo3bobobo4bo17bo3bobobo37bo3bobobo7bo30bo3bobo
25bo3bob2o$68bobo15b3obo25b3obo9bobo24b3o3bo2bo19b3o3bo2bo27b3o3bo2bo
21b3o3bo2bo35b3o3bo2bo20b3o3bo2bo26b3o3bo2bo28b3o3bo2bo6b2o9b3o3bo2b2o
8bo12b3o3bobob2o3bo15b3o3bobo27b3o3bobo8b2o2b2o18b3o3bobo22b3o3bobo13b
obo19b3o3bobo22b3o3bobobo35b3o3bobobo8bo27b3o3bobob2o20b3o3bo$63b2o3bo
2bo13bo5bo23bo5bo4b2o2b2o24bo6bobobo17bo6bobobo25bo6bobobo19bo6bobobo
33bo6bobobo18bo6bobobo24bo6bobobo26bo6bobobo15bo6bobobo9bo10bo6bobo5bo
15bo6bob2o25bo6bob2o11bobo16bo6bob2o20bo6bob2o12b2o19bo6bob2o20bo6bob
2o35bo6bob2o36bo6bob2obo19bo6bo$63b2o2b2ob2o14b3ob2o24b3ob2o4bobo2bo3b
o21b3ob2o2bobo18b3ob2o2bobo26b3ob2o2bobo20b3ob2o2bobo23b2o9b3ob2o2bobo
19b3ob2o2bobo25b3ob2o2bobo27b3ob2o2bobo2b2o12b3ob2o2bo23b3ob2o2bo5b3o
14b3ob2o2bo27b3ob2o2bo32b3ob2o2bo22b3ob2o2bo35b3ob2o25b3ob2o40b3ob2o
41b3ob2o26b3ob2o$58b2o8bobo17bobo27bobo5bo8bobo21bobo3b2o21bobo3b2o29b
obo3b2o23bobo3b2o25b2o10bobo3b2o22bobo3b2o28bobo3b2o30bobo3b2o2b2o15bo
bo3bobo23bobo3bobo22bobo3bobo27bobo3bobo32bobo3bobo22bobo3bobo35bobo
28bobo43bobo44bobo29bobo$59b2o7bobo17bobo27bobo14b2o22bobo26bobo34bobo
28bobo29bo12bobo27bobo33bobo35bobo9bo14bobo4b2o23bobo4b2o22bobo4b2o27b
obo4b2o32bobo4bobo21bobo4bobo34bobo28bobo43bobo44bobo29bobo$58bo5bo4bo
19bo29bo11b3o26bo28bo36bo30bo44bo29bo35bo37bo26bo31bo11b3o16bo12bo22bo
14bo25bo6bo5bo17bo6b2o35bo30bo45bo46bo31bo$63b2o66bo345bo30bo37b2o36b
2o153b2o40b2o$63bobo58b2o6bo345bo29b3o30bo4bobo36b2o151b2o41bobo$125b
2o373b2o34b2o2bobo197bo40bo$124bo344b2o28bobo3b3o27bobo2bobo41bo37bo
154b3o$470b2ob3o23b2o4bo29b2o4bo41b2o36b2o110b3o43bo$132b3o334bo3bo32b
o76bobo35bobo111bo42bo$132bo341bo70b2o187bo$133bo396bo4b2o7b2o62bo$
472b2o56b2o2bobo9bo4b2o55b2o125b3o$471bobo55bobo4bo14bobo53bobo125bo$
473bo70b2o5bo71bo112bo$543bobo76b2o$545bo76bobo4bo$628b2o$628bobo5$
537b2o$536bobo$538bo29$511bo$509b2o$510b2o$612bo$613b2o$612b2o$482bo$
480bobo5b2o$481b2o4b2o$489bo$481bo$481b2o134bo6bobo7bo$179bobo298bobo
135b2o5b2o5bobo$180b2o9bo425b2o6bo7b2o179bo$32bo147bo9bo423b2o199b2o$
32bobo155b3o14bobo286bo72bobo41bobo7bo17bo89bo62bo19b2o29bo$32b2o173b
2o287bobo71b2o43bo6bobo14b2o91bo62bo25bo21b2o$187bobo18bo287b2o72bo52b
2o15b2o65bo22b3o34bo25b3o25bobo20b2o4bo$188b2o13bobo333bobo163bobo27bo
29bobo53b2o4bo20b2o$188bo9bo4b2o330bo3b2o90b2o73b2o27bobo28b2o28bobo
28bobo13bo5b2o$199b2o3bo331b2o2bo27b3o55b2o3b2o79bo22b2o32bo26b2o29b2o
15bo$198b2o335b2o26b2o3bo56bo2bo11bobo67b2o57bobo25bo44b3o$50bo141bo
349b2o15bo3bobo3bo19b2o28bobo3bo2bo2b2o7b2o28b2o29b2o8b2o16b2o30b2o6b
2o17b2o28b2o34bo27bo$49bo24bobo114bobo314b4o30bo17b2o4bo22bo30b2o4b2o
3bo9bo28bobo28bobo10b2o13bobo3bo4bo20bobo3bo20bobo27bobob2o29bobo25bob
o$49b3o23b2o32bobo75bo4b2o314bo3bo31bo14b2o6bo22bo29bo11bo39bo30bo2b2o
6bobo14bo2bobob2o23bo2bobo21bo2bo26bobobo4bobo21bobo25bobo$75bo34b2o
76b2o7b2o249bo59bo34b2o21b2o21b2o40b2o38b2ob2o26b2obobo6bo15b2obobo3b
2o21b2obobo21b2obobo24b2obobo4b2o21b2obob2o21b2obob2o$30bo54bo24bo6bo
26bo42b2o7bo2bo6bo37bo32bo33bo36bo26bo16bobo14bo31bo6bobo29bo28bo2bo
29bo22bo22bo41bo39bo3bo26bo3bo23bo3bo27bo3b2o21bo3b2o24bo3b2o6bo20bo3b
2obo24b2obo$29bobo41b2o9bobo29bobo24bobo50bo2bo5bobo35bobo30bobo31bobo
34bobo24bobo16b2o13bobo29bobo5b2o29bobo59bob2o19bob2o19bob2o27b2o9bob
2o36bob2obo25bob2obo22bob2obo26bob3o22bob3o25bob3o28bob3o26b2o$29bo2bo
41b2o8bo2bo20b2o6bo2bo23bo2bo50b2o6bo2bo34bo2bo29bo2bo30bo2bo33bo2bo
23bo2bo15bo14bo2bo28bo2bo35bo2bo58bo3bo18bo3bo18bo3bo27b2o8bo3bo35bo3b
o5bo20bo3bo23bo3bo27bo3bo22bo3bo25bo3bo9b3o16bo3bo24bo2bo$27b2ob3o40bo
8b2ob3o20bo5b2ob3o21b2ob3o56b2ob3o32b2ob3o27b2ob3o28b2ob3o31b2ob3o21b
2ob3o28b2ob3o26b2ob3o4bo28b2ob3o3b2o51b2ob3o17b2ob3o17b2ob3o7bobobo15b
o8b2ob3o34b2ob3o5bo19b2ob3o22b2ob3o4b2o20b2ob3o21b2ob3o24b2ob3o10bo16b
2ob3o25b3o$7bo4bo13bo2bo47b2o2bo2bo24bo3bo2bo23bo2bo58bo2bo30b2o2bo2bo
25b2o2bo2bo26b2o2bo2bo29b2o2bo2bo19b2o2bo2bo26b2o2bo2bo28bo2bo6b2o27bo
2bo5bo2bo49bo2bo19bo2bo19bo2bo38bo2bo11bo24bo2bo8b3o16bo2bo24bo2bo6b2o
20bo2bo23bo2bo26bo2bo8b2o4bo14bo2bo26b2o$8bob2o15bobob2o44bo2bobobob2o
22bobobobob2o16b2obobobob2o15bobobo28b2ob2obobobob2o27bo2bobobob2o22bo
2bobobob2o18bo4bo2bobobob2o26bo2bobobob2o16bo2bobobob2o23bo2bobobob2o
24bobobob2o3bobo25bobobob2o2bo2bo48bobobob2o15bobobob2o15bobobob2o24b
2o8bobobob2o7b2o5b3o15bobobob2o23bobobob2o20bobobob2o5bo18bobobob2o19b
obobob2o22bobobob2o6b2o17bobobob2o20bo3bob2o$6b3o2b2o15b2ob2o46b2obobo
b2o23b2obobob2o16bob2obobob2o41bo6b2obob2obobob2o28b3obobob2o23b3obobo
b2o16bobo5b3obobob2o27b3obobob2o17b3obobob2o24b3obobob2o22b3obobob2o
20b3o6b3obobob2o3b2o47b3obobob2o13b3obobob2o13b3obobob2o25b2o5b3obobob
2o7bobo4bo15b3obobob2o4b2o3b2o10b3obobob2o18b3obobob2o22b3obobob2o17b
3obobob2o20b3obobob2o5bo17b3obobob2o18b3obobob2o$83bo23b2o6bo26bo46bo
14bo37bo32bo21b2o10bo35b2o25b2o21b3o8b2o25bo4b2o26bo5bo4b2o55bo4b2o16b
o4b2o16bo4b2o28bo6bo4b2o19bo13bo4b2o7bobo3bobo8bo4b2o21bo4b2o7b2o16bo
4b2o20bo4b2o23bo4b2o26bo4b2o21bo4b2o$102bo4bobo77b3o49b3o23bo6b3o31b3o
27bo6b2o25b2o25bo4b4o28b4o27bo7b4o58b4o19b4o19b4o38b4o36b4o11bo3bo11b
4o24b4o8bobo17b4o23b4o26b4o29b4o24b4o$30b2o71b2o2bo131bo26bo4bo33bo9bo
21bo4bobo17bo6bobo24bo5bo2bo31bo38bo61bo22bo22bo41bo39bo30bo27bo10bo
20bo26bo29bo32bo27bo$29bo2bo69b2o143bo16b3o4b2o26b3o2bobo4bo2bo20b3o3b
obo16bobo7bo32b2o31bo38bo61bo22bo22bo41bo39bo30bo27bo31bo26bo29bo32bo
27bo$8bo20bo2bo213bo54bo3bo4b2o2b3o25bo18b2o73b2o37b2o60b2o21b2o21b2o
40b2o38b2o29b2o26b2o30b2o25b2o28b2o31b2o26b2o$7b2o21b2o211b2ob3o51bo9b
obo25b3o23b2o43bobo$7bobo182bo49bobo23bo36bo15b3o16bo24b2o30b3o9b2o$
192b2o3b2o8b2o35bo23b2o35b2o14bo17bo24bo34bo10bo327b2o$191bobo4b2o6b2o
59bobo34bobo15bo75bo4b2o333bobo$197bo10bo37b3o155b2o332bo$246bo23b3o
130bo3b2o$247bo22bo136bobo86b2o$271bo135bo88bobo$15b3o26b3o449bo$17bo
26bo162b2o$16bo28bo161bobo$207bo265b2o$472bobo$474bo7$23b3o$bo21bo2bo$
b2o20bo$obo20bo$24bobo!
EDIT 9: The other missing p6:

Code: Select all

x = 243, y = 49, rule = B3/S23
210bobo$209bo$209bo$46bo162bo2bo$44bobo162b3o$45b2o2$223bo$2bo10bo209b
obo$3b2o7bo210b2o$2b2o8b3o$10bo209bo$8bobo208bo$9b2o208b3o2$14bobo85bo
$14b2o85bo$15bo16bobo66b3o$4b2o27b2o15b2o41b2o37b2o34b2o35b2o$2obobo
11bo15bo12b2obo2bo13bo4bo17b2obo2bo2b2o5bobo20b2obo2bo29b2obo2bo30b2ob
o2bo26b2ob2o$2obo13bobo26b2obobo15b2obo18b2obobobo2bo5b2o21b2obobobob
2o17bobo5b2obobobob2o15bo10b2obobobob2o22b2obobo$3b2o12b2o30b2o15b2o2b
3o19bobob2o8bo24bobob2obo18b2o8bobob2obo16b2o11bobob2obo$2o44b2o41b2o
2bo8b2o4b2o18b2o2bo24bo6b2o2bo21b2o9b2o2bo28b2ob3o$ob3o41bob3o38bob2o
8b2o5bobo17bob2o32bob2o33bob2o29bo4bo$4bo45bo52bo4bo62b2o35b2o26bo$98b
2o35b3o33b2o29b3o3b2o26bo3b2o$70bo26bobo35bo65bo2bo9b2o22bo3bo$70b2o
27bo36bo64b2o10b2o26b2o$69bobo60b3o80bo3b3o$16bo117bo24b3o8b2o47bo$15b
2o116bo27bo7b2o42b2o5bo$15bobo142bo10bo40bobo$175bo38bo$165b2o7b2o$
164bobo7bobo$166bo$36b2o22b2o131b2o15b3o$35bobo21b2o106b2o25b2o14bo$
37bo23bo105bobo23bo17bo$167bo50b2o$207b3o7b2o$207bo11bo$208bo4$190b2o$
191b2o$190bo!

Re: Synthesising Oscillators

Posted: July 28th, 2015, 2:59 am
by mniemiec
These are all pretty amazing!
Extrementhusiast wrote:EDIT 8: Yet again, two more oscillators:
I am not sure how to build the starting 20-bit still-life for the P7. It's not on my list of synthesized still-lifes, and my expert system doesn't know how to make it from smaller pieces (so if we ever got up to 20-bit still-lifes, it would be on the "hard" list). Unless it's something I missed as an intermediate result from the 18-bit syntheses?
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