## Small Spaceship Syntheses

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Goldtiger997
Posts: 646
Joined: June 21st, 2016, 8:00 am

### Re: Small Spaceship Syntheses

Final step for a turtle synthesis:

Code: Select all

``````x = 46, y = 70, rule = B3/S23
29b2o\$29b3o\$28bob2o\$28b3o\$29bo\$43bo\$41b2o\$42b2o3\$19bo\$18bo\$18b3o4bo11b
obo\$24bo12b2o\$7bo16b3o11bo\$5bobo\$6b2o2\$o40bobo\$b2o38b2o\$2o40bo2\$27b2o\$
27b2o\$16bo\$2bo12bobo2bo6b2o\$3b2o9bo2b4o5bobo\$2b2o11b2o8bo16bo\$17b2o5bo
15b2o\$11b3o3bo5bo17b2o\$18b3o2b4o5b2o\$20bo5bo5bobo\$14b2o5b4o8bo4bo\$14bo
bob3o3b2o11bo\$16bobo2bo4bo10b3o\$16bobo2bo4bo\$14bobob3o3b2o\$14b2o5b4o\$
20bo5bo17b2o\$18b3o2b4o16b2o\$11b3o3bo5bo21bo\$17b2o5bo\$2b2o11b2o8bo\$3b2o
9bo2b4o5bobo\$2bo12bobo2bo6b2o\$16bo\$27b2o\$27b2o2\$2o40bo\$b2o38b2o\$o40bob
o2\$6b2o\$5bobo\$7bo16b3o11bo\$24bo12b2o\$18b3o4bo11bobo\$18bo\$19bo3\$42b2o\$
41b2o\$43bo\$29bo\$28b3o\$28bob2o\$29b3o\$29b2o!``````
Unfortunately, the base constellation looks like it will be fairly hard to synthesize.

wwei23

### Re: Small Spaceship Syntheses

I'll give it all I can.

Code: Select all

``````x = 324, y = 74, rule = B3/S23
52bo\$50bobo\$51b2o14\$67bo\$66bo\$66b3o2\$67bo\$66b2o\$66bobo\$294bo\$116b2o48b
2o48b2o48b2o27bo20b2o\$116b2o48b2o48b2o48b2o25b3o20b2o\$5bo49bo49bo49bo
49bo49bo49bo\$4bobo2bo6b2o36bobo2bo6b2o36bobo2bo6b2o36bobo2bo6b2o36bobo
2bo6b2o13bo22bobo2bo6b2o36bobo2bo6b2o\$3bo2b4o5bobo35bo2b4o5bobo35bo2b
4o5bobo12bo22bo2b4o5bobo35bo2b4o5bobo13bobo19bo2b4o5bobo35bo2b4o5bobo\$
4b2o8bo39b2o8bo39b2o8bo14bo24b2o8bo39b2o8bo16b2o21b2o8bo39b2o8bo\$6b2o
5bo42b2o5bo42b2o5bo15b3o24b2o5bo13b2o27b2o5bo42b2o5bo42b2o5bo\$6bo5bo
43bo5bo43bo5bo43bo5bo13bo2bo26bo5bo43bo5bo43bo5bo\$7b3o2b4o41b3o2b4o41b
3o2b4o41b3o2b4o10bo2bo27b3o2b4o5bo35b3o2b4o5b2o34b3o2b4o5b2o\$9bo5bo43b
o5bo43bo5bo43bo5bo11b2o30bo5bo4bobo36bo5bo5bobo17b2o16bo5bo5bobo\$3b2o
5b4o39b2o5b4o39b2o5b4o39b2o5b4o39b2o5b4o7bo31b2o5b4o8bo17bobo10b2o5b4o
8bo\$3bobob3o3b2o38bobob3o3b2o38bobob3o3b2o38bobob3o3b2o38bobob3o3b2o
38bobob3o3b2o27bo10bobob3o3b2o\$5bobo2bo4bo39bobo2bo4bo39bobo2bo4bo39bo
bo2bo4bo10b2o27bobo2bo4bo39bobo2bo4bo39bobo2bo4bo\$5bobo2bo4bo39bobo2bo
4bo39bobo2bo4bo15bo23bobo2bo4bo10bobo26bobo2bo4bo39bobo2bo4bo39bobo2bo
4bo\$3bobob3o3b2o38bobob3o3b2o38bobob3o3b2o15b2o21bobob3o3b2o11bo26bobo
b3o3b2o27bo10bobob3o3b2o38bobob3o3b2o\$3b2o5b4o39b2o5b4o39b2o5b4o16bobo
20b2o5b4o39b2o5b4o26bobo10b2o5b4o39b2o5b4o\$9bo5bo43bo5bo43bo5bo43bo5bo
43bo5bo25b2o16bo5bo43bo5bo\$7b3o2b4o41b3o2b4o41b3o2b4o41b3o2b4o41b3o2b
4o41b3o2b4o41b3o2b4o\$6bo5bo43bo5bo43bo5bo43bo5bo43bo5bo43bo5bo37b3o3bo
5bo\$6b2o5bo42b2o5bo42b2o5bo42b2o5bo42b2o5bo42b2o5bo42b2o5bo\$4b2o8bo39b
2o8bo39b2o8bo39b2o8bo39b2o8bo39b2o8bo39b2o8bo\$3bo2b4o5bobo35bo2b4o5bob
o35bo2b4o5bobo35bo2b4o5bobo35bo2b4o5bobo35bo2b4o5bobo35bo2b4o5bobo\$4bo
bo2bo6b2o36bobo2bo6b2o36bobo2bo6b2o36bobo2bo6b2o36bobo2bo6b2o36bobo2bo
6b2o36bobo2bo6b2o\$5bo49bo49bo49bo49bo49bo49bo\$66b2o48b2o48b2o48b2o25b
3o20b2o48b2o\$66b2o48b2o48b2o48b2o27bo20b2o48b2o\$244bo\$16bobo\$16b2o\$17b
o2\$16b3o\$16bo\$17bo14\$b2o\$obo\$2bo!
``````

bubblegum
Posts: 926
Joined: August 25th, 2019, 11:59 pm

### Re: Small Spaceship Syntheses

This 3-glider boat injector works fine:

Code: Select all

``````x = 28, y = 26, rule = B3/S23
13b2o\$13b2o\$2bo\$bobo2bo6b2o\$o2b4o5bobo\$b2o8bo9bo\$3b2o5bo9bo\$3bo5bo10b
3o\$4b3o2b4o\$6bo5bo\$2o5b4o12bobo\$obob3o3b2o11b2o\$2bobo2bo4bo11bo\$2bobo
2bo4bo\$obob3o3b2o13b3o\$2o5b4o14bo\$6bo5bo13bo\$4b3o2b4o\$3bo5bo\$3b2o5bo\$
b2o8bo\$o2b4o5bobo\$bobo2bo6b2o\$2bo\$13b2o\$13b2o!
``````
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

Goldtiger997
Posts: 646
Joined: June 21st, 2016, 8:00 am

### Re: Small Spaceship Syntheses

Goldtiger997 wrote:
December 3rd, 2020, 8:30 am
Final step for a turtle synthesis:..
I found a method of constructing the base constellation which gives us this 241 glider synthesis:

Code: Select all

``````x = 5434, y = 82, rule = B3/S23
5414bo\$5414bobo\$5414b2o2b2o\$5418bobo\$4998bo413bo5bo\$4263bobo730bobo
414b2o\$4264b2o731b2o413b2o\$4264bo\$2927bo2503bo\$2927bobo2499b2o\$2905bo
21b2o2501b2o\$2903bobo\$2904b2o\$5407bo\$5406bo\$5406b3o4bo11bobo\$5412bo12b
2o\$5389bo22b3o11bo\$2722bo2664bobo\$379bo2340b2o192bo1386bo1086b2o\$380bo
2340b2o190bo1388bo710bo\$378b3o40bo790bo1495bobo202b3o389bo994b3o709bo
369bo46bobo\$395bobo21b2o789b2o1401bobo93b2o194bobo397bobo1704b3o368b2o
44b2o\$396b2o22b2o777bobo9b2o1400b2o88bo5bo196b2o397b2o887bo1187b2o46bo
\$396bo205bo597b2o1307bobo102bo86bobo17bo184bo396bo891bo3bo92bobo3b2o3b
obo398bo308bo\$600bobo597bo717bo591b2o190b2o17bobo580bo888b3ob2o94b2o2b
o2bo2b2o400b2o305b2o\$590bo10b2o10bo694bo610bo590bo98bo7bo103b2o579b3o
893b2o93bo3bo2bo3bo399b2o306bobo\$591bo21bobo692bobo606b3o596bo90bobo6b
o691bo989b2o409bo580bo\$109bo479b3o14bo6b2o693b2o507bo103bo592b2o92b2o
6b3o687b2o1401bobo400b2o98b2o77bo20b2o70bo27b2o\$107b2o495bobo613bo195b
o305bo95bo102bobo587bo3b2o507bobo280b2o1400b2o3bo397b2o98b2o75b3o20b2o
71b2o25b2o\$108b2o279bobo203bo9b2o507bo104bo87bo106bobo303b2o94b3o102b
2o94bo494b2o301bo3bo204b2o177bobo97bo792bo304bo99bo99bo99bo12bobo3bo
80bo99bo99bo99bo99bo99bo82b2o15bo28bo\$385bo4b2o204bo512bo3bo95b2o8b3o
86b2obobo101b2o304b2o97bo196bobo2bo488b2o300bobo3bobo203bo177b2o97bobo
97bo2bo96bo2bo96bo2bo96bo2bo96bo2bo96bo2bo88bobo5bo2bo90bobo3bo2bo96bo
2bo89bobo4bo2bo94bobo2bo94bobo2bo94bobo2bo94bobo2bo8b2o4bobo77bobo2bo
6b2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o
86bobo2bo6b2o14b2o\$102bo280bobo4bo203b3o194bo318b2ob3o92bo2bo95b2o2b2o
507bobo104bo89b2o2b2o689bo6bo94b2o3b2o188b2o98b2o93bo4b2o91b2o5b2o91b
4o3b2o91b4o3b2o91b4o3b2o91b4o3b2o91b4o3b2o79bo11b4o3b2o84b2o5b4o3b2o
85b2o4b4o3b2o86bo4b4o3b2o85b2o4b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o
3b2o88bo2b4o3b2o9b2o77bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bo
bo85bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bobo15b2o\$95bo4bobo7bo273b2o406bo
223bo92b2o97bo2bo100bo100b2o405b2o105bobo91bobo587b2o98bobo5bobo288bo
99bo99bo99bo99bo99bo99bo99bo79bo4bo14bo80bo18bo84bo14bo81bo17bo84bobo
12bo85bo13bo89b2o8bo89b2o8bo79bo4bo4b2o8bo89b2o8bo6b2o81b2o8bo89b2o8bo
89b2o8bo89b2o8bo9bo79b2o8bo89b2o8bo89b2o8bo\$96bo4b2o7bobo589b2o86b3o9b
2o98b2o98b2o12bobo83b2o98b2o5b2o91b2o98b2o5bo3bobo86b2o98b2o20bo77b2o
98b2o98b2o23b2o73b2o98b2o98b2o98b2o98b2o98b2o14bo83b2o7b2o89b2o7b2o6b
2o81b2o11b3o84b2o98b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o
5bo92b2o5bo81bo4bo5b2o5bo79b3o10b2o5bo92b2o5bo83b2o7b2o5bo86b2o4b2o5bo
81b3o8b2o5bo92b2o5bo92b2o5bo81bo4bo5b2o5bo92b2o5bo7bobo82b2o5bo92b2o5b
o92b2o5bo92b2o5bo9bo82b2o5bo92b2o5bo92b2o5bo\$9bo11bobo70b3o13b2o485bo
104bo83bo15bo99bo99bo13b2o84bo99bo99bo5b2o92bo5bobo2bo88bo5bo2bo90bo5b
o2bo11bo78bo5bo2bo4bo85bo5bo2bo90bo5bo2bo5bo84bo5bo2bo90bo5bo2bo90bo5b
o2bo90bo5bo2bo90bo5bo2bo90bo5bo2bo6bobo81bo5bo93bo5bo93bo5bo6bo86bo5bo
93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo80b3o2b3o5bo5b
o93bo5bo84b2o7bo5bo83b2o8bo5bo93bo5bo84bo8bo5bo93bo5bo93bo5bo80b3o2b3o
5bo5bo93bo5bo8bo84bo5bo93bo5bo93bo5bo93bo5bo10b3o80bo5bo93bo5bo87b3o3b
o5bo17bo\$8bo12b2o174bo9b2o98b2o98b2o96b2o90b2o6b2o89bobo4b3o81b2o14b3o
97b3o97b3o97b3o97b3o97b3o2b2o93b3o2b2o93b3o2b4o91b3o2b4o4bobo4b3o77b3o
2b4o3bo87b3o2b4o91b3o2b4o5bo85b3o2b4o3b2o86b3o2b4o13bo77b3o2b4o7bo83b
3o2b4o91b3o2b4o91b3o2b4o6b2o83b3o2b5o90b3o2b5o90b3o2b3o5bo86b3o2b3o11b
obo78b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b
3o2b4o91b3o2b4o91b3o2b4o82b2o7b3o2b4o91b3o2b4o85bo5b3o2b4o80bo4b2o4b3o
2b4o91b3o2b4o84bobo4b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b
4o91b3o2b4o91b3o2b4o5b2o84b3o2b4o5b2o84b3o2b4o5b2o6bo\$8b3o11bo75bo15bo
80b2o9bo2bo96bo2bo96bo2bo86bo8bo2bo87bobo6bo2bo82bo5b2o6bo2bo77b2o17bo
2bo96bo2bo96bo2bo96bo2bo96bo2bo96bo99bo99bo99bo10b2o87bo9b3o9bobo75bo
99bo11bo87bo9bo2bo86bo6b2o9b2o80bo6b2o5bobo83bo6b2o91bo6b2o91bo6b2o91b
o6bo92bo6bo8b3o81bo5bo93bo5bo10b2o81bo5bo10bo82bo5bo93bo5bo93bo5bo93bo
5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo81bo5bo5bo5bo86b2o5bo5bo85b2o6bo
5bo84bo2bo5bo5bo84bo8bo5bo79bo5b2o6bo5bo93bo5bo93bo5bo93bo5bo93bo5bo
93bo5bo93bo5bo93bo5bo5bobo67b2o16bo5bo5bobo85bo5bo5bobo5b3o\$98b2o12b2o
82b2o8b3o86bo10b3o80b3o14b3o88b2o7b3o97b3o83bo4bo8b3o97b3o97b3o97b3o
97b3o97b3o97b4o96b4o96b4o96b4o7bo88b4o17b2o77b4o3b2o91b4o3b2o91b4o3b2o
2b2o87b4o2bobo9b2o80b4o2bobo4b2o85b4o2bobo91b4o2bobo91b4obo2bo91b4obo
94b4obo9bo84b4obo87b2o5b4obo11bo82b4o10b2o84b4o96b4o96b4o96b4o96b4o85b
obo8b4o96b4o96b4o82b3o4b2o5b4o88bobo5b4o88bobo5b4o86bobo7b4o86bo2bo6b
4o87b2o7b4o82bo4bo8b4o96b4o89b2o5b4o89b2o5b4o89b2o5b4o89b2o5b4o89b2o5b
4o12bobo74b2o5b4o8bo67bobo10b2o5b4o8bo80b2o5b4o8bo\$97bobo4b2o7b2o89b2o
88bobo7b2o85bo7b2o3b2o90b2o5b3o97b3o84b3o10b3o94b2ob3o94b2ob3o94b2ob3o
12b2o80b2ob3o94b2ob3o94b2ob3o3bo90b2ob3o3bo90b2ob3o3bo90b2ob3o3bo90b2o
b3o3bo8b2o8bo71b2ob3o3bo3bo86b2ob3o3bo3bo86b2ob3o3bo3bo86b2ob3o3bo3bo
86b2ob3o3bo3bo86b2ob3o3bo3bobo84b2ob3o3bo3bobo84b2ob3o3bobo2bo85b2ob3o
3bob2o87b2ob3o3bob2o9bo77b2ob3o3bob2o86bobob3o3bobobo86b2ob3o3b2o10b2o
77b2ob3o3b2o89b2ob3o3b2o89b2ob3o3b2o89b2ob3o3b2o89b2ob3o3b2o80b3o2b2o
2b2ob3o3b2o84bo4b2ob3o3b2o89b2ob3o3b2o83bo4bobob3o3b2o88bobob3o3b2o88b
obob3o3b2o92b3o3b2o86b2o4b3o3b2o85b2o5b3o3b2o79b3o10b3o3b2o89b2ob3o3b
2o88bobob3o3b2o88bobob3o3b2o88bobob3o3b2o88bobob3o3b2o88bobob3o3b2o11b
2o75bobob3o3b2o77bo10bobob3o3b2o88bobob3o3b2o\$103bo2bo96bo2bo87b2o7bo
2bo83bo8bobobo2bo85bo10bo2bo93bo2bo2bo87b2o4bo2bo2bo94bobo2bo93b2obo2b
o93b2obo2bo10b2o81b2obo2bo93b2obo2bo6b2o85b2obo2bo93b2obo2bo93b2obo2bo
93b2obo2bo93b2obo2bo11bobo79b2obo2bo7bo85b2obo2bo7bo85b2obo2bo7bo85b2o
bo2bo93b2obo2bo9b3o81b2obo2bo7bo85b2obo2bo7bo12bo72b2obo2bo5b2o86b2obo
2bo93b2obo2bo93b2obo2bo94bobo2bo5b2o86b2obo2bo93b2obo2bo93b2obo2bo4bo
88b2obo2bo4bo88b2obo2bo4bo88b2obo2bo4bo81bo2bo3b2obo2bo4bo81bobo3bobob
o2bo4bo89bobo2bo4bo81bo7bobo2bo4bo89bobo2bo4bo89bobo2bo4bo91bo2bo4bo
91bo2bo4bo80bo10bo2bo4bo82b2o4bo2bo2bo4bo89bobo2bo4bo89bobo2bo4bo89bob
o2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo11bo77bobo2bo4bo89bobo2bo4b
o89bobo2bo4bo\$103bo2bo87b2o7bo2bo96bo2bo94bobo2bo86bo2bo3b2obo2bo92bob
obo2bo86bobo3bobobo2bo94bobo2bo96bo2bo96bo2bo12bo83bo2bo6bobo87bo2bo5b
o2bo87bo2bo96bo2bo96bo2bo96bo2bo96bo2bo11bo84bo2bo6b2o88bo2bo6b2o88bo
2bo6b2o88bo2bo96bo2bo9bo86bo2bo96bo2bo19bo76bo2bo96bo2bo96bo2bo96bo2bo
94bobo2bo96bo2bo96bo2bo96bo2bo4bo91bo2bo4bo91bo2bo4bo91bo2bo4bo80bo10b
o2bo4bo82b2o4bo2bo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo
4bo88b2obo2bo4bo88b2obo2bo4bo81bo2bo3b2obo2bo4bo81bobo3bobobo2bo4bo89b
obo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo
89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo\$104b2o9b2o76bobo8b2o98b2o94b2ob3o
85b3o2b2o2b2ob3o94b2ob3o89bo4b2ob3o94b2ob3o97b3o97b3o97b3o3bo3b2o88b3o
3bo2bo2bo87b3o3bo93b3o3bo93b3o3bo93b3o3bo93b3o3b2o92b3o3b2o92b3o3b2o
92b3o3b2o11b2o79b3o3b2o92b3o3b2o6bo85b3o3b2o92b3o3b2o15b3o74b3o3b2o6b
2o84b3o3b2o92b3o3b2o92b3o3b2o88bobob3o3b2o92b3o3b2o10bo81b3o3b2o92b3o
3b2o92b3o3b2o92b3o3b2o86b2o4b3o3b2o85b2o5b3o3b2o79b3o10b3o3b2o89b2ob3o
3b2o79b2o7bobob3o3b2o88bobob3o3b2o83bo4bobob3o3b2o89b2ob3o3b2o89b2ob3o
3b2o80b3o2b2o2b2ob3o3b2o84bo4b2ob3o3b2o89b2ob3o3b2o88bobob3o3b2o88bobo
b3o3b2o88bobob3o3b2o88bobob3o3b2o88bobob3o3b2o13b3o61bo10bobob3o3b2o
88bobob3o3b2o88bobob3o3b2o\$106b3o6bobo77bo10b3o83b2o12b3o97b3o86bobo8b
3o97b3o97b3o97b3o97b3o97b3o6b2o89b4o4bo91b4o3b2o91b4o96b4o96b4o96b4o
10b3o83b4o96b4o96b4o96b4o8bo3bobo81b4o9bo86b4o96b4o96b4o4b2o90b4o7bobo
86b4o96b4o96b4o89b2o5b4o96b4o11bobo82b4o96b4o96b4o86bobo7b4o86bo2bo6b
4o87b2o7b4o82bo4bo8b4o82b2o12b4o79bobo7b2o5b4o89b2o5b4o79bo2bobo4b2o5b
4o96b4o96b4o85bobo8b4o96b4o82b2o12b4o89b2o5b4o89b2o5b4o89b2o5b4o89b2o
5b4o89b2o5b4o14bo61bobo10b2o5b4o89b2o5b4o89b2o5b4o\$106bo2bo5bo90bo2bo
81bobo12bo2bo95bo2bo96bo2bo96bo2bo96bo2bo96bo2bo87bobo6bo2bo96bo2bo6bo
bo87bo99bo18b2o79bo99bo99bo99bo14bo84bo5bo19b3o71bo5bo93bo5bo93bo5bo5b
2o3bo82bo5bo7b2o84bo5bob2o90bo5bob2o90bo5bobo2bo88bo5bo5bo87bo5bo93bo
5bo93bo5bo93bo5bo93bo5bo9b2o82bo5bo93bo5bo93bo5bo85b2o6bo5bo84bo2bo5bo
5bo84bo8bo5bo79bo5b2o6bo5bo79bobo11bo5bo79bo13bo5bo93bo5bo77b2o2b2o10b
o5bo93bo5bo93bo5bo93bo5bo93bo5bo79bobo11bo5bo93bo5bo93bo5bo93bo5bo93bo
5bo93bo5bo13bo61b2o16bo5bo93bo5bo93bo5bo\$107b2o98b2o84bo13b2o96b2o98b
2o98b2o98b2o83b2o13b2o90b2o6b2o96b3o9bo87b3o2b2o4b2o87b3o2b2o13b2o78b
3o2b2o93b3o2b2o93b3o2b2o93b3o2b4o9bo81b3o2b4o19bo71b3o2b4o91b3o2b4o91b
3o2b4o5bobo83b3o2b4o6bobo82b3o2b4obobo87b3o2b4obobo87b3o2b4obo2bo86b3o
2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b
3o2b4o85bo5b3o2b4o80bo4b2o4b3o2b4o91b3o2b4o84bobo4b3o2b4o81bo9b3o2b4o
91b3o2b4o91b3o2b4o76bobo12b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o
81bo9b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b
3o2b4o91b3o2b4o\$6b2o291bo491b2o104bo104bo99bo5b2o4bobo85bo5b2o15bo76bo
5b2o92bo5bobo91bo5bobo6bo84bo5bo2bo90bo5bo23bo69bo5bo93bo5bo93bo5bo93b
o5bo13b3o77bo5bo5bobo85bo5bo5bobob3o81bo5bo5b2o86bo5bo93bo5bo93bo5bo
93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo84bo8bo5bo93bo5bo93bo
5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo
5bo93bo5bo8bo84bo5bo93bo5bo93bo5bo93bo5bo87b3o3bo5bo87b3o3bo5bo\$obo2b
2o292bo490bo5b2o204b2o98b2o10bo87b2o98b2o98b2o5bo92b2o5bo7bobo82b2o5b
2o91b2o5bo92b2o5bo92b2o5bo7bo84b2o5bo92b2o5bo12bo79b2o5bo5bo86b2o5bo5b
o2bo83b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo14b2o76b2o
5bo92b2o5bo92b2o5bo86b2o4b2o5bo81b3o8b2o5bo92b2o5bo92b2o5bo92b2o5bo92b
2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo
92b2o5bo7bobo82b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo22b2o\$b2o
4bo291bo495bobo514bo204b2o189b2o11bo86b2o98b2o7b2o89b2o98b2o13bo84b2o
98b2o9bo88b2o98b2o98b2o98b2o98b2o98b2o10b2o86b2o14bobo81b2o100bo99bo
84bobo12bo85bo13bo89b2o8bo89b2o8bo89b2o8bo89b2o8bo89b2o8bo74b3o12b2o8b
o89b2o8bo89b2o8bo89b2o8bo89b2o8bo89b2o8bo89b2o8bo89b2o8bo6b2o81b2o8bo
89b2o8bo89b2o8bo89b2o8bo89b2o8bo89b2o8bo20b2o\$bo795bo96b3o410b2o2b2o
201b2o204b2o194bobo505b2o493b2o103bo179bo4b2o91b2o5b2o86bo4b4o3b2o85b
2o4b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o
76bo11bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b
4o3b2o88bo2b4o3b2o88bo2b4o3b2o9b2o77bo2b4o5bobo85bo2b4o5bobo85bo2b4o5b
obo85bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bobo19bo\$202b2o595b3o94bo109bo
301b2obobo199b2o205bobo701bobo494bo193bobo85b2o97bobo97bo2bo89bobo4bo
2bo94bobo2bo94bobo2bo94bobo2bo94bobo2bo94bobo2bo80bo13bobo2bo94bobo2bo
94bobo2bo94bobo2bo94bobo2bo94bobo2bo94bobo2bo94bobo2bo8b2o4bobo77bobo
2bo6b2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b
2o\$202bobo594bo95bo9b2o99b2o8bo199b2o89bo207bo101b3o804bo690b2o86bobo
97bo297bo99bo99bo99bo99bo99bo99bo99bo99bo99bo99bo99bo99bo12bobo3bo80bo
99bo99bo99bo99bo82b2o15bo\$202bo98b3o10b2o484bo103bobo98bobo7b2o190b2o
7bobo398bo1498bo190b2o1500b2o3bo197b2o98b2o75b3o20b2o98b2o71b2o25b2o\$
198b3o102bo10bobo572b3o14bo6b2o95b2o3bobo190b2o6bo91b2o300bo7bo1687b2o
1501bobo200b2o98b2o77bo20b2o98b2o70bo27b2o\$200bo101bo11bo576bo21bobo
93bobo195bo100bobo289bo8b2o1490b3o12b2o190bo189b2o1309bo380bo\$199bo
690bo10b2o10bo97bo296bo291b2o7bobo1491bo12bobo183b3o93b2o93bo3bo2bo3bo
1299b2o106bobo\$900bobo696bobo3b2o1495bo9bo3bo187bo88b3ob2o94b2o2bo2bo
2b2o1300b2o105b2o\$902bo312b3o387bobo1504b2o189bo91bo3bo92bobo3b2o3bobo
1298bo108bo\$1215bo389bo1505bobo191b2o87bo1987b2o46bo\$1216bo2088bobo
1604b3o468b2o44b2o\$3305bo194b3o1409bo469bo46bobo\$3502bo1410bo\$3501bo
1886b2o\$5387bobo\$2137b3o3249bo22b3o11bo\$2137bo3274bo12b2o\$2138bo3267b
3o4bo11bobo\$5406bo\$5407bo3\$5430b2o\$5429b2o\$5431bo\$3464bo1951bo\$3464b2o
1431b2o510bo5b2o\$3463bobo1430bobo511bo4bobo\$4898bo509b3o2\$5412b3o\$
5414bo\$5413bo!``````
Continuous synthesis:

Code: Select all

``````x = 1168, y = 1196, rule = B3/S23
1147bobo\$1147b2o\$1148bo2\$32bo\$30bobo\$31b2o2\$1163bo\$1163bobo\$1163b2o3\$
1141bo\$1139b2o18bo\$1140b2o5bo10bo\$1145b2o11b3o\$6bobo1137b2o\$7b2o\$7bo\$
1163bo\$2bo1159bo\$obo1159b3o\$b2o5\$4bo\$2bobo\$3b2o1157bo\$1162bobo\$1162b2o
3\$1160bo\$1158b2o\$1159b2o17\$34bobo\$35b2o\$35bo8\$40bo4bo30bo\$41bo4bo30b2o
\$39b3o2b3o29b2o6\$51bobo\$37bo8bo5b2o\$38b2o7bo4bo\$27bo9b2o6b3o\$28b2o\$27b
2o\$57bo\$58bo\$56b3o\$1085bobo\$51bobo1031b2o\$52b2o1032bo\$52bo\$64bo\$62bobo
\$63b2o9\$95bo995bo\$96b2o991b2o\$95b2o993b2o\$1070bo\$99bobo968bobo20bo\$
100b2o968b2o3bo16bo\$100bo974bobo3bo10b3o\$1075b2o4bobo\$93bo962bo24b2o\$
91bobo962bobo\$92b2o962b2o5\$96bo2bobo942bo\$94bobo3b2o941bo\$95b2o3bo942b
3o6\$102bo\$103b2o\$102b2o12\$1067bo\$1067bobo\$1067b2o\$1060bo\$1023bo36bobo\$
1021b2o37b2o\$1022b2o\$119bo\$120bo\$118b3o2\$128bo\$129bo\$127b3o3\$119bo\$
120b2o\$119b2o7\$135bo\$133bobo\$134b2o5\$140bo4bo\$141b2o3b2o\$140b2o3b2o10\$
151bo\$152b2o\$151b2o2\$158bo\$159b2o\$158b2o38\$938bo\$938bobo\$938b2o\$222bo\$
223bo\$221b3o\$941bo\$194bo744b2o\$192bobo745b2o\$193b2o742bo\$935b2o\$205bo
730b2o\$206b2o\$205b2o32\$902bo\$902bobo\$282bo619b2o\$280bobo\$281b2o\$927bo\$
927bobo\$927b2o3\$911bo\$889bo19b2o\$888bo21b2o\$888b3o\$282bobo\$283b2o\$283b
o3\$906bobo\$906b2o\$907bo2\$907bo\$906bo\$906b3o3\$897bobo\$299bo587bo9b2o\$
297bobo577bo9bobo8bo\$298b2o575b2o10b2o\$876b2o\$305bobo\$306b2o\$300bo5bo\$
298bobo575bo\$299b2o564bo10bobo\$865bobo8b2o\$865b2o2\$308bo\$309b2o3bo553b
obo\$308b2o2bobo553b2o\$313b2o554bo4bo\$864bo9bobo\$863bo10b2o\$315bo547b3o
\$316bo\$314b3o3\$868bo\$866b2o\$867b2o13\$856bo\$854b2o\$855b2o4\$861bo\$861bob
o\$861b2o19\$833bobo\$833b2o\$819bo14bo\$817b2o\$818b2o4\$379bo\$380b2o\$379b2o
\$811bobo\$811b2o\$812bo2\$817bobo\$817b2o\$384bo433bo\$385b2o\$384b2o\$804bobo
\$804b2o\$805bo\$800bobo\$800b2o\$801bo4\$795bo\$795bobo10bo\$795b2o9b2o\$807b
2o\$399bo\$400bo396bo\$398b3o395bo\$789bobo4b3o\$789b2o\$770bo19bo\$768b2o\$
769b2o2\$399bo\$400bo371bo\$398b3o371bobo\$772b2o\$759bobo\$403bo355b2o\$404b
2o354bo\$403b2o\$786bobo\$786b2o\$787bo2\$412bo350bobo2bo\$413bo349b2o3bobo\$
411b3o350bo3b2o8\$763bo\$763bobo\$756bo6b2o\$756bobo\$756b2o17\$418bo\$419bo\$
417b3o4bo\$425b2o\$424b2o\$421bo\$419bobo\$420b2o2\$435bo\$433bobo\$427bobo4b
2o\$428b2o\$428bo26bo\$453bobo\$443bo10b2o256bo\$444bo267bobo\$442b3o14bo
252b2o\$457bobo\$448bo9b2o\$449bo\$447b3o14\$458bo\$459b2o\$458b2o\$454bo\$455b
o\$453b3o2\$464bobo\$465b2o219bo\$465bo17bo201bo\$481bobo201b3o\$482b2o6\$
477bo\$470bo4bobo\$471b2o3b2o\$470b2o18\$647bo\$647bobo\$647b2o4\$645bo\$645bo
bo\$645b2o2\$515bobo\$509bo6b2o129bobo\$510b2o4bo130b2o\$509b2o137bo2\$650bo
\$650bobo\$650b2o7\$635bo11bobo\$634bo12b2o\$634b3o11bo10\$526bobo\$527b2o\$
527bo97\$632b2o\$631b2o\$633bo\$512b3o\$514bo\$513bo2\$653bo\$652b2o\$652bobo
11\$495bo\$495b2o\$494bobo7\$654bo\$653b2o\$476bo176bobo\$476b2o5bo15b2o\$475b
obo5b2o15b2o\$482bobo14bo7\$492b2o182bo\$493b2o180b2o\$492bo182bobo16\$458b
o\$458b2o\$457bobo\$450bo\$450b2o\$449bobo19\$431b2o\$432b2o\$431bo6\$424b2o\$
423bobo\$425bo4bo\$430b2o\$429bobo\$718b2o\$717b2o\$719bo9\$758b2o\$415b2o340b
2o\$416b2o341bo\$415bo10bo\$426b2o327b2o\$410b2o13bobo317bo9bobo\$411b2o
331b2o9bo\$410bo11bo321bobo\$422b2o\$421bobo2\$418bo\$418b2o336bo\$417bobo
335b2o16bo\$422b2o331bobo14b2o\$421bobo348bobo\$423bo340b2o\$763b2o\$765bo
3\$411bo352b3o\$411b2o351bo\$410bobo352bo15b3o\$781bo\$782bo\$764b2o\$764bobo
\$764bo2\$772b2o\$398b3o371bobo\$400bo371bo\$399bo2\$769b2o\$768b2o\$770bo22b
3o\$793bo\$783b2o9bo\$783bobo11b3o\$783bo13bo\$798bo2\$811b2o\$790b3o18bobo\$
790bo20bo\$783bo7bo\$379bo402b2o\$379b2o401bobo15b2o\$378bobo397b2o19b2o\$
778bobo20bo\$778bo\$822b2o\$822bobo\$822bo4\$378b3o\$380bo\$379bo3\$823b2o\$
818b2o2b2o\$818bobo3bo\$818bo7\$361b2o\$362b2o\$361bo470b2o\$832bobo\$832bo
16\$847b2o\$847bobo\$847bo5bo\$852b2o\$852bobo4\$854b2o\$854bobo\$854bo\$858b3o
\$858bo\$859bo5\$866b2o\$865b2o9b3o\$867bo8bo\$877bo8\$883b3o\$883bo\$884bo19\$
895b2o\$894b2o\$896bo8\$909b3o\$909bo\$910bo30\$242bo\$242b2o684b2o\$241bobo
683b2o\$252b2o675bo\$251bobo\$253bo12\$936b2o\$935b2o\$937bo\$940b2o\$939b2o\$
941bo\$221b3o\$223bo\$222bo\$204b3o731b2o\$206bo731bobo\$205bo732bo5\$942bo\$
197b2o3b2o737b2o\$198b2obobo737bobo\$197bo5bo5\$194b2o758b2o\$195b2o756b2o
\$194bo760bo2\$202b2o\$201bobo\$203bo13\$165b2o\$166b2o\$165bo\$154b2o\$153bobo
\$155bo\$159bo\$159b2o\$158bobo3\$148bo\$148b2o\$147bobo4b2o\$153bobo\$155bo4\$
143bo\$137b2o4b2o\$136bobo3bobo\$138bo3\$134b3o\$136bo\$135bo2\$126b2o\$125bob
o\$127bo13\$115b2o\$114bobo\$116bo2\$112bo\$112b2o\$111bobo7\$103b2o\$102bobo\$
104bo2\$91bo\$91b2o\$90bobo4\$1063b2o\$1057b2o4bobo\$1057bobo3bo14b2o\$1052b
2o3bo20bobo\$1052bobo23bo\$1052bo32b2o\$113b2o970bobo\$114b2o969bo\$113bo
12\$1095b2o\$1068bo25b2o\$1067b2o27bo\$1067bobo15\$94b2o\$95b2o\$94bo\$56b2o\$
55bobo\$57bo1094bo\$1151b2o\$49b2o1100bobo\$48bobo\$50bo5\$32b2o\$33b2o7b2o\$
32bo8bobo\$43bo6\$40bo\$40b2o\$39bobo25\$1165b2o\$1165bobo\$1165bo2\$3b2o\$2bob
o\$4bo5\$b2o\$obo1159b3o\$2bo1159bo\$1163bo\$7bo\$7b2o\$6bobo1137b2o\$1145b2o
11b3o\$1140b2o5bo10bo\$1139b2o18bo\$1141bo3\$1163b2o\$1163bobo\$1163bo2\$
1148b3o\$1148bo\$1149bo2\$31b2o\$32b2o\$31bo!``````

A for awesome
Posts: 2373
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

### Re: Small Spaceship Syntheses

Goldtiger997 wrote:
December 4th, 2020, 9:54 am

I found a method of constructing the base constellation which gives us this 241 glider synthesis:

Code: Select all

``rle``
Corrected a slight error (the rightmost domino was missing from one of the later substrates):

Code: Select all

``````x = 5434, y = 82, rule = B3/S23
5414bo\$5414bobo\$5414b2o2b2o\$5418bobo\$4998bo413bo5bo\$4263bobo730bobo414b
2o\$4264b2o731b2o413b2o\$4264bo\$2927bo2503bo\$2927bobo2499b2o\$2905bo21b2o
2501b2o\$2903bobo\$2904b2o\$5407bo\$5406bo\$5406b3o4bo11bobo\$5412bo12b2o\$5389b
o22b3o11bo\$2722bo2664bobo\$379bo2340b2o192bo1386bo1086b2o\$380bo2340b2o
190bo1388bo710bo\$378b3o40bo790bo1495bobo202b3o389bo994b3o709bo369bo46b
obo\$395bobo21b2o789b2o1401bobo93b2o194bobo397bobo1704b3o368b2o44b2o\$396b
2o22b2o777bobo9b2o1400b2o88bo5bo196b2o397b2o887bo1187b2o46bo\$396bo205b
o597b2o1307bobo102bo86bobo17bo184bo396bo891bo3bo92bobo3b2o3bobo398bo308b
o\$600bobo597bo717bo591b2o190b2o17bobo580bo888b3ob2o94b2o2bo2bo2b2o400b
2o305b2o\$590bo10b2o10bo694bo610bo590bo98bo7bo103b2o579b3o893b2o93bo3b
o2bo3bo399b2o306bobo\$591bo21bobo692bobo606b3o596bo90bobo6bo691bo989b2o
409bo580bo\$109bo479b3o14bo6b2o693b2o507bo103bo592b2o92b2o6b3o687b2o1401b
obo400b2o98b2o77bo20b2o70bo27b2o\$107b2o495bobo613bo195bo305bo95bo102b
obo587bo3b2o507bobo280b2o1400b2o3bo397b2o98b2o75b3o20b2o71b2o25b2o\$108b
2o279bobo203bo9b2o507bo104bo87bo106bobo303b2o94b3o102b2o94bo494b2o301b
o3bo204b2o177bobo97bo792bo304bo99bo99bo99bo12bobo3bo80bo99bo99bo99bo99b
o99bo82b2o15bo28bo\$385bo4b2o204bo512bo3bo95b2o8b3o86b2obobo101b2o304b
2o97bo196bobo2bo488b2o300bobo3bobo203bo177b2o97bobo97bo2bo96bo2bo96bo
2bo96bo2bo96bo2bo96bo2bo88bobo5bo2bo90bobo3bo2bo96bo2bo89bobo4bo2bo94b
obo2bo94bobo2bo94bobo2bo94bobo2bo8b2o4bobo77bobo2bo6b2o86bobo2bo6b2o86b
obo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o14b2o\$102b
o280bobo4bo203b3o194bo318b2ob3o92bo2bo95b2o2b2o507bobo104bo89b2o2b2o689b
o6bo94b2o3b2o188b2o98b2o93bo4b2o91b2o5b2o91b4o3b2o91b4o3b2o91b4o3b2o91b
4o3b2o91b4o3b2o79bo11b4o3b2o84b2o5b4o3b2o85b2o4b4o3b2o86bo4b4o3b2o85b
2o4b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o9b2o77bo2b4o
5bobo85bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bob
o85bo2b4o5bobo15b2o\$95bo4bobo7bo273b2o406bo223bo92b2o97bo2bo100bo100b
2o405b2o105bobo91bobo587b2o98bobo5bobo288bo99bo99bo99bo99bo99bo99bo99b
o79bo4bo14bo80bo18bo84bo14bo81bo17bo84bobo12bo85bo13bo89b2o8bo89b2o8b
o79bo4bo4b2o8bo89b2o8bo6b2o81b2o8bo89b2o8bo89b2o8bo89b2o8bo9bo79b2o8b
o89b2o8bo89b2o8bo\$96bo4b2o7bobo589b2o86b3o9b2o98b2o98b2o12bobo83b2o98b
2o5b2o91b2o98b2o5bo3bobo86b2o98b2o20bo77b2o98b2o98b2o23b2o73b2o98b2o98b
2o98b2o98b2o98b2o14bo83b2o7b2o89b2o7b2o6b2o81b2o11b3o84b2o98b2o5bo92b
2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo81bo4bo5b2o5bo79b
3o10b2o5bo92b2o5bo83b2o7b2o5bo86b2o4b2o5bo81b3o8b2o5bo92b2o5bo92b2o5b
o81bo4bo5b2o5bo92b2o5bo7bobo82b2o5bo92b2o5bo92b2o5bo92b2o5bo9bo82b2o5b
o92b2o5bo92b2o5bo\$9bo11bobo70b3o13b2o485bo104bo83bo15bo99bo99bo13b2o84b
o99bo99bo5b2o92bo5bobo2bo88bo5bo2bo90bo5bo2bo11bo78bo5bo2bo4bo85bo5bo
2bo90bo5bo2bo5bo84bo5bo2bo90bo5bo2bo90bo5bo2bo90bo5bo2bo90bo5bo2bo90b
o5bo2bo6bobo81bo5bo93bo5bo93bo5bo6bo86bo5bo93bo5bo93bo5bo93bo5bo93bo5b
o93bo5bo93bo5bo93bo5bo93bo5bo80b3o2b3o5bo5bo93bo5bo84b2o7bo5bo83b2o8b
o5bo93bo5bo84bo8bo5bo93bo5bo93bo5bo80b3o2b3o5bo5bo93bo5bo8bo84bo5bo93b
o5bo93bo5bo93bo5bo10b3o80bo5bo93bo5bo87b3o3bo5bo17bo\$8bo12b2o174bo9b2o
98b2o98b2o96b2o90b2o6b2o89bobo4b3o81b2o14b3o97b3o97b3o97b3o97b3o97b3o
2b2o93b3o2b2o93b3o2b4o91b3o2b4o4bobo4b3o77b3o2b4o3bo87b3o2b4o91b3o2b4o
5bo85b3o2b4o3b2o86b3o2b4o13bo77b3o2b4o7bo83b3o2b4o91b3o2b4o91b3o2b4o6b
2o83b3o2b5o90b3o2b5o90b3o2b3o5bo86b3o2b3o11bobo78b3o2b4o91b3o2b4o91b3o
2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o82b
2o7b3o2b4o91b3o2b4o85bo5b3o2b4o80bo4b2o4b3o2b4o91b3o2b4o84bobo4b3o2b4o
91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o5b2o84b
3o2b4o5b2o84b3o2b4o5b2o6bo\$8b3o11bo75bo15bo80b2o9bo2bo96bo2bo96bo2bo86b
o8bo2bo87bobo6bo2bo82bo5b2o6bo2bo77b2o17bo2bo96bo2bo96bo2bo96bo2bo96b
o2bo96bo99bo99bo99bo10b2o87bo9b3o9bobo75bo99bo11bo87bo9bo2bo86bo6b2o9b
2o80bo6b2o5bobo83bo6b2o91bo6b2o91bo6b2o91bo6bo92bo6bo8b3o81bo5bo93bo5b
o10b2o81bo5bo10bo82bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93b
o5bo93bo5bo81bo5bo5bo5bo86b2o5bo5bo85b2o6bo5bo84bo2bo5bo5bo84bo8bo5bo
79bo5b2o6bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo5bobo67b
2o16bo5bo5bobo85bo5bo5bobo5b3o\$98b2o12b2o82b2o8b3o86bo10b3o80b3o14b3o
88b2o7b3o97b3o83bo4bo8b3o97b3o97b3o97b3o97b3o97b3o97b4o96b4o96b4o96b4o
7bo88b4o17b2o77b4o3b2o91b4o3b2o91b4o3b2o2b2o87b4o2bobo9b2o80b4o2bobo4b
2o85b4o2bobo91b4o2bobo91b4obo2bo91b4obo94b4obo9bo84b4obo87b2o5b4obo11b
o82b4o10b2o84b4o96b4o96b4o96b4o96b4o85bobo8b4o96b4o96b4o82b3o4b2o5b4o
88bobo5b4o88bobo5b4o86bobo7b4o86bo2bo6b4o87b2o7b4o82bo4bo8b4o96b4o89b
2o5b4o89b2o5b4o89b2o5b4o89b2o5b4o89b2o5b4o12bobo74b2o5b4o8bo67bobo10b
2o5b4o8bo80b2o5b4o8bo\$97bobo4b2o7b2o89b2o88bobo7b2o85bo7b2o3b2o90b2o5b
3o97b3o84b3o10b3o94b2ob3o94b2ob3o94b2ob3o12b2o80b2ob3o94b2ob3o94b2ob3o
3bo90b2ob3o3bo90b2ob3o3bo90b2ob3o3bo90b2ob3o3bo8b2o8bo71b2ob3o3bo3bo86b
2ob3o3bo3bo86b2ob3o3bo3bo86b2ob3o3bo3bo86b2ob3o3bo3bo86b2ob3o3bo3bobo
84b2ob3o3bo3bobo84b2ob3o3bobo2bo85b2ob3o3bob2o87b2ob3o3bob2o9bo77b2ob
3o3bob2o86bobob3o3bobobo86b2ob3o3b2o10b2o77b2ob3o3b2o89b2ob3o3b2o89b2o
b3o3b2o89b2ob3o3b2o89b2ob3o3b2o80b3o2b2o2b2ob3o3b2o84bo4b2ob3o3b2o89b
2ob3o3b2o83bo4bobob3o3b2o88bobob3o3b2o88bobob3o3b2o92b3o3b2o86b2o4b3o
3b2o85b2o5b3o3b2o79b3o10b3o3b2o89b2ob3o3b2o88bobob3o3b2o88bobob3o3b2o
88bobob3o3b2o88bobob3o3b2o88bobob3o3b2o11b2o75bobob3o3b2o77bo10bobob3o
3b2o88bobob3o3b2o\$103bo2bo96bo2bo87b2o7bo2bo83bo8bobobo2bo85bo10bo2bo
93bo2bo2bo87b2o4bo2bo2bo94bobo2bo93b2obo2bo93b2obo2bo10b2o81b2obo2bo93b
2obo2bo6b2o85b2obo2bo93b2obo2bo93b2obo2bo93b2obo2bo93b2obo2bo11bobo79b
2obo2bo7bo85b2obo2bo7bo85b2obo2bo7bo85b2obo2bo93b2obo2bo9b3o81b2obo2b
o7bo85b2obo2bo7bo12bo72b2obo2bo5b2o86b2obo2bo93b2obo2bo93b2obo2bo94bo
bo2bo5b2o86b2obo2bo93b2obo2bo4bo88b2obo2bo4bo88b2obo2bo4bo88b2obo2bo4b
o88b2obo2bo4bo81bo2bo3b2obo2bo4bo81bobo3bobobo2bo4bo89bobo2bo4bo81bo7b
obo2bo4bo89bobo2bo4bo89bobo2bo4bo91bo2bo4bo91bo2bo4bo80bo10bo2bo4bo82b
2o4bo2bo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2b
o4bo89bobo2bo4bo11bo77bobo2bo4bo89bobo2bo4bo89bobo2bo4bo\$103bo2bo87b2o
7bo2bo96bo2bo94bobo2bo86bo2bo3b2obo2bo92bobobo2bo86bobo3bobobo2bo94bo
bo2bo96bo2bo96bo2bo12bo83bo2bo6bobo87bo2bo5bo2bo87bo2bo96bo2bo96bo2bo
96bo2bo96bo2bo11bo84bo2bo6b2o88bo2bo6b2o88bo2bo6b2o88bo2bo96bo2bo9bo86b
o2bo96bo2bo19bo76bo2bo96bo2bo96bo2bo96bo2bo94bobo2bo96bo2bo96bo2bo4bo
91bo2bo4bo91bo2bo4bo91bo2bo4bo91bo2bo4bo80bo10bo2bo4bo82b2o4bo2bo2bo4b
o89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo88b2obo2bo4bo88b2obo
2bo4bo81bo2bo3b2obo2bo4bo81bobo3bobobo2bo4bo89bobo2bo4bo89bobo2bo4bo89b
obo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo89bobo2bo4bo
89bobo2bo4bo\$104b2o9b2o76bobo8b2o98b2o94b2ob3o85b3o2b2o2b2ob3o94b2ob3o
89bo4b2ob3o94b2ob3o97b3o97b3o97b3o3bo3b2o88b3o3bo2bo2bo87b3o3bo93b3o3b
o93b3o3bo93b3o3bo93b3o3b2o92b3o3b2o92b3o3b2o92b3o3b2o11b2o79b3o3b2o92b
3o3b2o6bo85b3o3b2o92b3o3b2o15b3o74b3o3b2o6b2o84b3o3b2o92b3o3b2o92b3o3b
2o88bobob3o3b2o92b3o3b2o10bo81b3o3b2o92b3o3b2o92b3o3b2o92b3o3b2o86b2o
4b3o3b2o85b2o5b3o3b2o79b3o10b3o3b2o89b2ob3o3b2o79b2o7bobob3o3b2o88bob
ob3o3b2o83bo4bobob3o3b2o89b2ob3o3b2o89b2ob3o3b2o80b3o2b2o2b2ob3o3b2o84b
o4b2ob3o3b2o89b2ob3o3b2o88bobob3o3b2o88bobob3o3b2o88bobob3o3b2o88bobo
b3o3b2o88bobob3o3b2o13b3o61bo10bobob3o3b2o88bobob3o3b2o88bobob3o3b2o\$
106b3o6bobo77bo10b3o83b2o12b3o97b3o86bobo8b3o97b3o97b3o97b3o97b3o97b3o
6b2o89b4o4bo91b4o3b2o91b4o96b4o96b4o96b4o10b3o83b4o96b4o96b4o96b4o8bo
3bobo81b4o9bo86b4o96b4o96b4o4b2o90b4o7bobo86b4o96b4o96b4o89b2o5b4o96b
4o11bobo82b4o96b4o96b4o86bobo7b4o86bo2bo6b4o87b2o7b4o82bo4bo8b4o82b2o
12b4o79bobo7b2o5b4o89b2o5b4o79bo2bobo4b2o5b4o96b4o96b4o85bobo8b4o96b4o
82b2o12b4o89b2o5b4o89b2o5b4o89b2o5b4o89b2o5b4o89b2o5b4o14bo61bobo10b2o
5b4o89b2o5b4o89b2o5b4o\$106bo2bo5bo90bo2bo81bobo12bo2bo95bo2bo96bo2bo96b
o2bo96bo2bo96bo2bo87bobo6bo2bo96bo2bo6bobo87bo99bo18b2o79bo99bo99bo99b
o14bo84bo5bo19b3o71bo5bo93bo5bo93bo5bo5b2o3bo82bo5bo7b2o84bo5bob2o90b
o5bob2o90bo5bobo2bo88bo5bo5bo87bo5bo93bo5bo93bo5bo93bo5bo93bo5bo9b2o82b
o5bo93bo5bo93bo5bo85b2o6bo5bo84bo2bo5bo5bo84bo8bo5bo79bo5b2o6bo5bo79b
obo11bo5bo79bo13bo5bo93bo5bo77b2o2b2o10bo5bo93bo5bo93bo5bo93bo5bo93bo
5bo79bobo11bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo13bo61b2o16bo5bo93b
o5bo93bo5bo\$107b2o98b2o84bo13b2o96b2o98b2o98b2o98b2o83b2o13b2o90b2o6b
2o96b3o9bo87b3o2b2o4b2o87b3o2b2o13b2o78b3o2b2o93b3o2b2o93b3o2b2o93b3o
2b4o9bo81b3o2b4o19bo71b3o2b4o91b3o2b4o91b3o2b4o5bobo83b3o2b4o6bobo82b
3o2b4obobo87b3o2b4obobo87b3o2b4obo2bo86b3o2b4o91b3o2b4o91b3o2b4o91b3o
2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o85bo5b3o2b4o80bo4b2o
4b3o2b4o91b3o2b4o84bobo4b3o2b4o81bo9b3o2b4o91b3o2b4o91b3o2b4o76bobo12b
3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o81bo9b3o2b4o91b3o2b4o91b3o2b
4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o91b3o2b4o\$6b2o291bo491b
2o104bo104bo99bo5b2o4bobo85bo5b2o15bo76bo5b2o92bo5bobo91bo5bobo6bo84b
o5bo2bo90bo5bo23bo69bo5bo93bo5bo93bo5bo93bo5bo13b3o77bo5bo5bobo85bo5b
o5bobob3o81bo5bo5b2o86bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo
93bo5bo93bo5bo93bo5bo84bo8bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93b
o5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo93bo5bo8bo84bo5bo93bo5b
o93bo5bo93bo5bo87b3o3bo5bo87b3o3bo5bo\$obo2b2o292bo490bo5b2o204b2o98b2o
10bo87b2o98b2o98b2o5bo92b2o5bo7bobo82b2o5b2o91b2o5bo92b2o5bo92b2o5bo7b
o84b2o5bo92b2o5bo12bo79b2o5bo5bo86b2o5bo5bo2bo83b2o5bo92b2o5bo92b2o5b
o92b2o5bo92b2o5bo92b2o5bo92b2o5bo14b2o76b2o5bo92b2o5bo92b2o5bo86b2o4b
2o5bo81b3o8b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o
5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo7bobo82b2o5bo92b2o
5bo92b2o5bo92b2o5bo92b2o5bo92b2o5bo22b2o\$b2o4bo291bo495bobo514bo204b2o
189b2o11bo86b2o98b2o7b2o89b2o98b2o13bo84b2o98b2o9bo88b2o98b2o98b2o98b
2o98b2o98b2o10b2o86b2o14bobo81b2o100bo99bo84bobo12bo85bo13bo89b2o8bo89b
2o8bo89b2o8bo89b2o8bo89b2o8bo74b3o12b2o8bo89b2o8bo89b2o8bo89b2o8bo89b
2o8bo89b2o8bo89b2o8bo89b2o8bo6b2o81b2o8bo89b2o8bo89b2o8bo89b2o8bo89b2o
8bo89b2o8bo20b2o\$bo795bo96b3o410b2o2b2o201b2o204b2o194bobo505b2o493b2o
103bo179bo4b2o91b2o5b2o86bo4b4o3b2o85b2o4b4o3b2o88bo2b4o3b2o88bo2b4o3b
2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o76bo11bo2b4o3b2o88bo2b4o3b2o88b
o2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o88bo2b4o3b2o
9b2o77bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bobo85bo2b4o5bobo
85bo2b4o5bobo19bo\$202b2o595b3o94bo109bo301b2obobo199b2o205bobo701bobo
494bo193bobo85b2o97bobo97bo2bo89bobo4bo2bo94bobo2bo94bobo2bo94bobo2bo
94bobo2bo94bobo2bo80bo13bobo2bo94bobo2bo94bobo2bo94bobo2bo94bobo2bo94b
obo2bo94bobo2bo94bobo2bo8b2o4bobo77bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b
2o86bobo2bo6b2o86bobo2bo6b2o86bobo2bo6b2o\$202bobo594bo95bo9b2o99b2o8b
o199b2o89bo207bo101b3o804bo690b2o86bobo97bo297bo99bo99bo99bo99bo99bo99b
o99bo99bo99bo99bo99bo99bo12bobo3bo80bo99bo99bo99bo99bo82b2o15bo\$202bo
98b3o10b2o484bo103bobo98bobo7b2o190b2o7bobo398bo1498bo190b2o1500b2o3b
o197b2o98b2o75b3o20b2o98b2o71b2o25b2o\$198b3o102bo10bobo572b3o14bo6b2o
95b2o3bobo190b2o6bo91b2o300bo7bo1687b2o1501bobo200b2o98b2o77bo20b2o98b
2o70bo27b2o\$200bo101bo11bo576bo21bobo93bobo195bo100bobo289bo8b2o1490b
3o12b2o190bo189b2o1309bo380bo\$199bo690bo10b2o10bo97bo296bo291b2o7bobo
1491bo12bobo183b3o93b2o93bo3bo2bo3bo1299b2o106bobo\$900bobo696bobo3b2o
1495bo9bo3bo187bo88b3ob2o94b2o2bo2bo2b2o1300b2o105b2o\$902bo312b3o387b
obo1504b2o189bo91bo3bo92bobo3b2o3bobo1298bo108bo\$1215bo389bo1505bobo191b
2o87bo1987b2o46bo\$1216bo2088bobo1604b3o468b2o44b2o\$3305bo194b3o1409bo
469bo46bobo\$3502bo1410bo\$3501bo1886b2o\$5387bobo\$2137b3o3249bo22b3o11b
o\$2137bo3274bo12b2o\$2138bo3267b3o4bo11bobo\$5406bo\$5407bo3\$5430b2o\$5429b
2o\$5431bo\$3464bo1951bo\$3464b2o1431b2o510bo5b2o\$3463bobo1430bobo511bo4b
obo\$4898bo509b3o2\$5412b3o\$5414bo\$5413bo!``````
Very nice work! These things always seem so miraculous when you finish them.
praosylen#5847 (Discord)

Poem's gone temporarily, since I'm not exactly living up to it right now

wwei23

### Re: Small Spaceship Syntheses

Goldtiger997 wrote:
December 4th, 2020, 9:54 am
I found a method of constructing the base constellation which gives us this 241 glider synthesis:
Goldtiger997, you are amazing. Nice work!

dvgrn
Moderator
Posts: 8012
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Small Spaceship Syntheses

That was pretty darn quick for a 241-glider synthesis. Either you're getting to be more of an expert at building these complex syntheses, or you're getting more obsessive as you get older. Here's hoping it's the former -- and congratulations on another new constructible spaceship!

This one would have been considered to be just impossibly far out of reach, only a decade ago.

bubblegum
Posts: 926
Joined: August 25th, 2019, 11:59 pm

### Re: Small Spaceship Syntheses

dvgrn wrote:
December 29th, 2017, 3:46 pm
Now if a synthesis for edge-repair spaceship 1 would just appear in the New Year's stocking -- or wherever such things appear -- then I could stop getting confused about which small hard-to-tell-apart c/3 spaceships are synthesizable and which aren't.
Well, it's here now.

Crosspost from Discord: 39G ERS1 (final step by goldenratio, assembled by me)

Code: Select all

``````x = 373, y = 64, rule = B3/S23
338bobo\$339b2o\$329bobo7bo\$330b2o33bobo\$330bo34b2o\$338bo27bo\$336bobo\$
317bo19b2o\$318bo47bo\$316b3o8bo37bo\$233bobo89bobo37b3o\$234b2o90b2o\$234b
o2\$198bo118bobo51bo\$196b2o45bo74b2o50bo\$197b2o43bo75bo51b3o\$150bo41bob
o47b3o\$148bobo42b2o51b3o\$149b2o42bo52bo\$106bo140bo\$105bo45bo134b2o58b
2o\$105b3o43bobo82b3o47bo59bo\$103bo47b2o134bo59bo\$101bobo182b2o58b2o\$
102b2o2\$146bo\$146bo47b2obo36b2obo46b2obo56b2obo\$146bo47bob2o36bob2o46b
ob2o56bob2o\$59b2o38b2o38b2o16b2o30b2o38b2o48b2o47b2o9b2o\$58bo2bo36bo2b
o36bo2bo14b2o30bo2bo36bo2bo46bo2bo47b2o7bo2bo\$57bobo2bo34bobo2bo34bobo
2bo15bo28bobo2bo34bobo2bo44bobo2bo45bo8bobo2bo\$58bo4bo34bo4bo34bo4bo
44bo4bo34bo4bo44bo4bo54bo4bo\$61bobo37bobo37bobo47bobo37bobo47bobo57bob
o\$61b2o38b2o38b2o48b2o38b2o48b2o58b2o\$324b3o\$326bo\$10bo314bo17b3o17b2o
\$11bo351bobo\$9b3o351bo\$288bo82b2o\$287b2o81b2o\$5b3o279bobo30b2o43b2o5bo
\$5bo5b2o270b2o36b2o42bobo\$6bo3b2o272b2o34bo44bo\$12bo270bo2\$323b2o\$322b
obo\$324bo32b2o\$357bobo\$66bo283b3o4bo\$65bobo282bo\$65b2o255b3o26bo\$324bo
36b3o\$68b3o252bo37bo\$16bo51bo293bo\$15b2o52bo\$15bobo2\$b2o\$obo\$2bo!``````
EDIT: it's 38G (I forgot to remove the boat).
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

mniemiec
Posts: 1296
Joined: June 1st, 2013, 12:00 am

### Re: Small Spaceship Syntheses

dvgrn wrote:
December 29th, 2017, 3:46 pm
Now if a synthesis for edge-repair spaceship 1 would just appear in the New Year's stocking -- or wherever such things appear -- then I could stop getting confused about which small hard-to-tell-apart c/3 spaceships are synthesizable and which aren't.
Now, as far as I know, the two smallest un-buildable spaceships are the 29- and 30-bit c/3 ones.
bubblegum wrote:
January 24th, 2021, 3:09 pm
Well, it's here now. Crosspost from Discord: 39G ERS1 (final step by goldenratio, assembled by me) ...EDIT: it's 38G (I forgot to remove the boat).
Excellent! And surprisingly simple too!

One minor improvement: flipping the phi spark removes the need for a cleanup glider, and also lets the bottom block be made cheaper, reducing this to 36:

Code: Select all

``````x = 69, y = 38, rule = B3/S23
24bo\$22bobo\$15bo7boo\$13bobo17bo\$14boo17bobo\$21bo11boo\$22boo\$21boo\$obo\$
boo7bo22bobo\$bo9boo20boo\$10boo22bo\$\$22boo\$3bo8b3o7bo\$bobo10bo8bo14bobo
\$bboo9bo8boo14boo\$39bo\$\$9bo\$9boo9boobo\$8bobo9boboo\$15boo14boo\$14bobbo
12boo\$13bobobbo13bo\$14bo4bo18b3o\$17bobo18bo\$4b3o10boo14boo4bo21bo\$6bo
25boo26b4o\$5bo14b3o11bo20bo3bo3booboo\$54b4o5bobboo\$53bo3bo7bobbo\$7boo
45bobobbo\$8boo16bo31bo\$7bo17boo\$19boo4bobo\$18boo\$20bo!
``````

Sokwe
Moderator
Posts: 1906
Joined: July 9th, 2009, 2:44 pm

### Re: Small Spaceship Syntheses

mniemiec wrote:
January 24th, 2021, 9:51 pm
Now, as far as I know, the two smallest un-buildable spaceships are the 29- and 30-bit c/3 ones.
Indeed. I think the following are all of the known ships with no known synthesis up to 36 cells:

Code: Select all

``````x = 158, y = 213, rule = B3/S23
29bo\$27b2o\$27b2o\$29bo\$27bo\$obobo3bobobo13b3o\$26bo\$4bo3bo3bo12b2o\$28bo\$
obobo3bobobo11bo2bo\$23bo\$o11bo9b2o\$22bobo\$obobo3bobobo8b2o2\$22bo\$22bob
o\$22bobo\$23bo14\$28bo\$26b2o\$26b2o\$28bo\$26bo\$obobo3bobobo12b3o\$25bo\$4bo
3bo3bo11b2o\$27bo\$obobo3bo3bo10bo2bo\$22bo\$4bo3bo3bo8b2o\$22bo\$obobo3bobo
bo9b3o\$23bo\$25bo\$23b2o\$23b2o\$25bo17\$21b4o\$21bo3bo12b2o\$obobo3bobobo8bo
15b2o\$22bo2bo13bo\$4bo7bo28bo4b3o\$26b3o12b3o4b2o\$obobo3bobobo13bo2b2o
11b3obobo\$26b2o21bo\$4bo3bo19b2o12bobo\$27b2o12b2obo\$obobo3bobobo13bo3bo
11bo\$26bo2b2o9b2obo\$26b2o15bo\$28b3o10b2o\$30bo17\$30bo\$29b2o\$29bobo\$obob
o3bobobo\$32b2o\$4bo7bo19b2o\$27b2o\$obobo3bobobo14bo2b2o\$22bo4bo3bo\$4bo7b
o8b2o5b2obo\$21bobo3bo3b2o\$obobo3bobobo12bo\$24bo4bo2bo\$24bo2bo19\$26bo3b
o\$26bo3bo9b2o17b2o15b2o\$25bobo11b2o17b2o15b2o\$obobo3bo3bo11b3o2b2o10bo
18bo16bo\$43b2o17b2o15b2o\$4bo3bo3bo14b2o13bo18bo16bo\$27b2o\$obobo3bobobo
14b2o12bo2bo15bo2bo13bo2bo\$38b2obo15b2obo13b2obo\$4bo7bo10b2obo10b2o4bo
12b2o4bo10b2o4bo\$22bobo2bo11bobo2bo13bobo2bo11bobo2bo\$obobo7bo8b2o3bo
17bo18bo16bo\$22bobobo14bo2bo15bo2bo13bo2bo\$23b2ob2o14bobo16bobo2b3o9bo
bo3b2o\$26bo15bobo4bo11bobo2bo11bobo2b2o\$43b2o3b2o12b2o3bo11b2o4bo\$43bo
4bobo11bo16bo13\$28bo\$27bobo\$26b2o\$27bobo\$27b2o16b3o\$30bo14bo\$obobo3bob
obo13bo2bo16bo\$25bo22b2o\$4bo3bo15b2o23bo\$25bobo15b2o\$obobo3bobobo12b2o
16bo2b2o\$28bo14bo3bo\$4bo7bo11bo2bo17bo2bo\$23bo21bo2bo\$obobo3bobobo9b2o
24bo\$22bobo12b3o\$21b2o14bo9bo\$38bo2b6o\$22bo17bo\$22bobo16b2o\$22bobo\$23b
o11\$83bo15bo\$82bobo13bobo\$81b2o15bobo\$22b4o56bobo13bo\$22bo3bo36b2o17b
2o13b2o30b2o17b2o\$22bo62bo11bobo8b3o17b2o17b2o\$obobo3bobobo10bo2bo14b
2o4b5o9b2o2bo15bo2bo23bo9b2o10bo18bo\$27bo11bo6bo5bo7bo19bo15b3o10bo6b
3obo11b2o17b2o\$4bo3bo14bo5bo8bo6bo13b2o4b3o11b2o15b3o12b2o2b2o14bo18bo
\$22bo15bo13bo7bo4b3o12bobo12bo16bo\$obobo3bobobo9bo6bo8b8o14b3o17b2o11b
2o21bo13bo2bo15bo2bo\$22b7o14b2o16bo6b3o12bo9bobo16b2o3bo9b2obo15b2obo\$
4bo3bo3bo50bo4b3o8bo2bo28bobob2o9b2o4bo12b2o4bo\$61b2o15bo13b3o16bobo2b
ob2o8bobo2bo13bobo2bo\$obobo3bobobo9bo2bo13b2o20b2o4b2o8b2o13bobo15bo4b
2o16bo18bo\$21bo3bob2o9b2ob2o20bo3b2o9bo14bobo14b2o18bo2bo4b2o9bo2bo\$
21bo3bo13b4o26bo8b3o11b2o16b2o19bobo3b2o11bobo2b3o\$21b2obo2bo12b2o37bo
51bobo4bo11bobo2bo\$81bo11bo38b2o3b2o12b2o4bo\$23b2o54b2o12bobo36bo18bo
3b2o\$79b2o12bobo\$81bo12bo!``````
That is, assuming we can easily synthesize all of the small variants of c/2 ships that haven't yet been explicitly synthesized (e.g., xq4_606a1197zk2222iezaggis or xq4_0gg044wvvuwggz37d6xonvf037d6zy41)
-Matthias Merzenich

mniemiec
Posts: 1296
Joined: June 1st, 2013, 12:00 am

### Re: Small Spaceship Syntheses

mniemiec wrote:
January 24th, 2021, 9:51 pm
Now, as far as I know, the two smallest un-buildable spaceships are the 29- and 30-bit c/3 ones.
Sokwe wrote:
January 25th, 2021, 7:35 am
Indeed. I think the following are all of the known ships with no known synthesis up to 36 cells: ...
That is, assuming we can easily synthesize all of the small variants of c/2 ships that haven't yet been explicitly synthesized (e.g., xq4_606a1197zk2222iezaggis or xq4_0gg044wvvuwggz37d6xonvf037d6zy41)
Interesting! My list of everything up to 34 bits coincides with this, but was missing the first 32-bit one (LWSS + tag-along). Do you remember who found that, or when, or if it has a name? It also yields two more trivial 34-bit ones (with MWSS) and one 36-bit one (with HWSS).

The first one definitely has a trivial synthesis; it's known how to add an LWSS to an existing HWSS in every possible orientation. I haven't actually instantiated many of the 3-spaceship flotillae, but I have determined which ones can be easily synthesized, and that includes all of them, except for a few outliers involving multiple complex escorts (e.g. HWSS escorting two half X66s).

I'm fairly sure the second one has also, but I'd have to check my notes. The smaller OWSS flotillae (7WSS+8WSS) have had known syntheses for years, but the number of configurations that had known syntheses decreased steadily for each larger engine size. A year or two ago, I was looking at Catagolue and saw some syntheses for some larger OWSS flotillae (12WSS-14WSS), and from that it was easy to retrofit most of the ones inbetween.

Sokwe
Moderator
Posts: 1906
Joined: July 9th, 2009, 2:44 pm

### Re: Small Spaceship Syntheses

mniemiec wrote:
January 25th, 2021, 9:51 am
My list of everything up to 34 bits coincides with this, but was missing the first 32-bit one (LWSS + tag-along). Do you remember who found that, or when, or if it has a name?
It's not surprising that you didn't have it. It was found by Hartmut Holzwart a little over a month ago.
-Matthias Merzenich

Goldtiger997
Posts: 646
Joined: June 21st, 2016, 8:00 am

### Re: Small Spaceship Syntheses

Here's a final step for a xq4_2534uof1u0u1fou4352zy087084048078zx3igi3x3igi3 synthesis, which is heavily based on a previous partial result by Kazyan:

Code: Select all

``````x = 127, y = 91, rule = B3/S23
23bo79bo\$24b2o13bobo59b2o\$23b2o15b2o60b2o\$40bo\$29bo3bo59bo3bo\$30bo3b2o
55b2o3bo\$28b3o2b2o57b2o2b3o\$76bobo\$76b2o\$36bo40bo12bo\$20bo13bobo53bobo
13bo\$bo19bo13b2o53b2o13bo19bo\$2b2o15b3o83b3o15b2o\$b2o121b2o6\$20bo21bob
o37bobo21bo\$21bo21b2o37b2o21bo\$19b3o21bo39bo21b3o2\$39b2o45b2o\$39bobo8b
2o23b2o8bobo\$40bo8bo27bo8bo\$52bo9bo11bo\$35b2o6b2o5b2o9bobo11b2o5b2o6b
2o\$20bo13bo2bo7bo14bo2bo17bo7bo2bo13bo\$21bo12bo2bo4bo14bo3b2o6bo14bo4b
o2bo12bo\$19b3o13b2o6b2o11bobo9bobo11b2o6b2o13b3o\$40bo10b2o4b2o9b2o4b2o
10bo\$39bobo8bo8b2o5b2o8bo8bobo\$39bobo11bo5bobo3bobo5bo11bobo\$40bo3b2o
5b2o3b2obo2bobo2bob2o3b2o5b2o3bo\$46bo8bo2bobobobobobo2bo8bo\$35b2o6bo
11b2o3bobobobo3b2o11bo6b2o\$34bo2bo6b2o14bobobobo14b2o6bo2bo\$34bo2bo23b
o3bo23bo2bo\$35b2o20b2o9b2o20b2o\$40bo11b3obo2bo7bo2bob3o11bo\$39bobo15b
2o2bo3bo2b2o15bobo\$39bobo16bob2o3b2obo16bobo\$40bo17bobo5bobo17bo\$55b2o
bobo5bobob2o\$35b2o18bob2ob2o3b2ob2obo18b2o\$34bo2bo51bo2bo\$34bo2bo51bo
2bo\$35b2o53b2o\$40bo17b2o7b2o17bo\$39bobo16b2o7b2o16bobo\$39b2o45b2o\$58b
2o7b2o\$58b2o7b2o9\$33b3o55b3o\$35bo55bo\$34bo57bo5\$23b2o77b2o\$24b2o13bo
47bo13b2o\$23bo15b2o45b2o15bo\$38bobo45bobo6\$3o121b3o\$2bo121bo\$bo123bo8\$
12b2o99b2o\$11bobo99bobo\$13bo99bo!``````
The spartan objects in the base constellation should be easy to place, but the middle still-lifes look quite hard.

dvgrn
Moderator
Posts: 8012
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Small Spaceship Syntheses

Goldtiger997 wrote:
March 6th, 2021, 4:49 am
Here's a final step for a xq4_2534uof1u0u1fou4352zy087084048078zx3igi3x3igi3 synthesis, which is heavily based on a previous partial result by Kazyan...
Yikes. That's two entire military encampments of toads, all with the single task of getting a couple of gliders into only slightly tricky locations. Time for me to dig through the octohash turner collection and see if there's a lane-shifter that fits...

EDIT: Yup, the first one I looked at would have worked... though I thought it wouldn't and went and tried a different one before coming back to it. I'd highly recommend the new octohash-generated 12x12 two-object turner collection for glider placement problems like these. Most likely (based on my no-survey-necessary experience just now) there are dozens of object pairs that would work.

Code: Select all

``````x = 127, y = 91, rule = B3/S23
23bo79bo\$24b2o13bobo59b2o\$23b2o15b2o60b2o\$40bo\$29bo3bo59bo3bo\$30bo3b2o
55b2o3bo\$28b3o2b2o57b2o2b3o\$76bobo\$76b2o\$36bo40bo12bo\$20bo13bobo53bobo
13bo\$bo19bo13b2o53b2o13bo19bo\$2b2o15b3o83b3o15b2o\$b2o121b2o2\$38bobo45b
obo\$39b2o45b2o\$39bo47bo2\$20bo85bo\$21bo83bo\$19b3o83b3o2\$39b2o45b2o\$39bo
bo43bobo\$40bo45bo\$62bo\$35b2o24bobo26b2o\$20bo13bo2bo22bo2bo25bo2bo13bo\$
21bo12bo2bo19bo3b2o6bo19bo2bo12bo\$19b3o13b2o19bobo9bobo19b2o13b3o\$40bo
8b2o6b2o9b2o6b2o8bo\$39bobo7bobo7b2o5b2o7bobo7bobo\$39bobo8b2o7bobo3bobo
7b2o8bobo\$40bo15b2obo2bobo2bob2o15bo\$48bo6bo2bobobobobobo2bo6bo\$35b2o
10bobo5b2o3bobobobo3b2o5bobo10b2o\$34bo2bo9bo2bo9bobobobo9bo2bo9bo2bo\$
34bo2bo10b2o11bo3bo11b2o10bo2bo\$35b2o20b2o9b2o20b2o\$40bo11b3obo2bo7bo
2bob3o11bo\$39bobo15b2o2bo3bo2b2o15bobo\$39bobo16bob2o3b2obo16bobo\$40bo
17bobo5bobo17bo\$55b2obobo5bobob2o\$35b2o18bob2ob2o3b2ob2obo18b2o\$34bo2b
o51bo2bo\$34bo2bo51bo2bo\$35b2o53b2o\$40bo17b2o7b2o17bo\$39bobo16b2o7b2o
16bobo\$39b2o45b2o\$58b2o7b2o\$58b2o7b2o9\$33b3o55b3o\$35bo55bo\$34bo57bo5\$
23b2o77b2o\$24b2o13bo47bo13b2o\$23bo15b2o45b2o15bo\$38bobo45bobo6\$3o121b
3o\$2bo121bo\$bo123bo8\$12b2o99b2o\$11bobo99bobo\$13bo99bo!``````
There's a little wiggle room in the placement of the loafnship constellation, even. I can't tell, might this free up some options for a less expensive Charge of the Lightspeed Brigade from the sides at the end there?

Goldtiger997
Posts: 646
Joined: June 21st, 2016, 8:00 am

### Re: Small Spaceship Syntheses

Goldtiger997 wrote:
March 6th, 2021, 4:49 am
Here's a final step for a xq4_2534uof1u0u1fou4352zy087084048078zx3igi3x3igi3 synthesis, which is heavily based on a previous partial result by Kazyan:
I was able to complete this into a 215 glider synthesis, which should make a good starting point for further reductions:

Code: Select all

``````x = 5324, y = 69, rule = B3/S23
4998bo95bo147bo57bo\$4998bobo91bobo148b2o13bobo37b2o\$4998b2o93b2o147b2o
15b2o38b2o\$5259bo\$1656bo29bo3561bo3bo37bo3bo\$1657b2o25b2o3310bo99bo
152bo3b2o20bobo10b2o3bo\$1656b2o5bo15bo5b2o3306bo2bobo95bobo2bo147b3o2b
2o21b2o12b2o2b3o\$1664bo13bo153bo127bo170bo129bo2729bobo2b2o97b2o2bobo
161bo12bo\$1662b3o13b3o150bo129bo170b2o125b2o298bobo169bobo287bo160bo
138bo138bo1531b2o105b2o163b2o\$1812bo18b3o125b3o18bo150b2o127b2o297b2o
171b2o285bobo150bo8bo139bobo137bo8bo1784bo7b2o22bo\$1813b2o11bo139bo11b
2o580bo171bo287b2o148b2o9b3o137b2o136b3o9b2o1766bo13bobo20bo10bobo13bo
\$1812b2o12bobo135bobo12b2o152bo125bo911b2o297b2o1168bo211bo367bo19bo
13b2o19bo11b2o13bo19bo\$1826b2o137b2o165bo127bo297bo175bo293bo285bo
1326bo209bo292b2o75b2o15b3o6b2o26b3o16b2o6b3o15b2o\$929bo435bo11bo754b
3o123b3o295bobo175bobo292b2o139bo141b2o158bo581bo33bo550b3o209b3o289bo
bo74b2o25bobo43bobo25b2o\$929bobo434bo9bo1180b2o175b2o292b2o2bo138bo4b
2o132bo2b2o150b2o4bo580bobo33bobo561bobo183bobo303bo103bo45bo\$929b2o
433b3o9b3o422bo189bo1040bobo134b3o5bo130bobo154bo5b3o579b2o33b2o562b2o
185b2o416bobo23bobo\$921bo742b3o9b3o123b2o185b2o143bo123bo773b2o141bo
133b2o156bo1185bo139b2o44bo103b2o53b2o93b2o53b2o93b2o13b2o23b2o13b2o\$
922bo439b2o15b2o285bo9bo124b2o187b2o140b2o125b2o295bobo175bobo438b2o2b
2o3bo273bo3b2o2b2o1324bo2bo146bo2bo51bo2bo91bo2bo51bo2bo91bo2bo12bo25b
o12bo2bo\$339bo580b3o130bo307bobo15bobo130bo5b3ob3o5bo134bo2b3ob3o2bo
455b2o123b2o297b2o175b2o441bo2bo3bobo140bo128bobo3bo2bo11bo137bo11bo
137bo11bo137bo11bo128bo8bo11bo8bo128bo11bo137bo11bo137bo11bo137bo11bo
114bo2bo19bo11bo114bo2bo19bo11bo19bo2bo91bo2bo19bo11bo19bo2bo91bo2bo
19bo11bo19bo2bo\$329bo8bo715bo8bo299bo15bo133b2o13b2o1027bo177bo441b2o
5b2o140bobo128b2o5b2o10bobo135bobo9bobo135bobo9bobo135bobo9bobo128bo6b
obo9bobo6bo128bobo9bobo135bobo9bobo135bobo9bobo110bobo22bobo9bobo114b
2o19bobo9bobo22bobo89b2o19bobo9bobo19b2o93b2o19bobo9bobo19b2o89bo3b2o
19bobo9bobo19b2o3bo\$327b2o9b3o586bo124b3o9b2o446b2o15b2o1795b2o148b2o
137b2o9b2o137b2o9b2o137b2o9b2o127b3o7b2o9b2o7b3o119b2o6b2o9b2o6b2o121b
2o6b2o9b2o6b2o121b2o6b2o9b2o6b2o104b2o15b2o6b2o9b2o6b2o112bo8b2o6b2o9b
2o6b2o15b2o95bo8b2o6b2o9b2o6b2o8bo103bo8b2o6b2o9b2o6b2o8bo95bo7bo8b2o
6b2o9b2o6b2o8bo7bo\$328b2o580bo7bo7bo136b2o597b2o15b2o135b2o7b2o140b2o
6b2o140b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o
5b2o141b2o5b2o141b2o5b2o141b2o5b2o128bo12b2o5b2o12bo128b2o5b2o141b2o5b
2o141b2o5b2o131bobo7b2o5b2o7bobo121bobo7b2o5b2o7bobo121bobo7b2o5b2o7bo
bo104bo16bobo7b2o5b2o7bobo111bobo7bobo7b2o5b2o7bobo16bo94bobo7bobo7b2o
5b2o7bobo7bobo101bobo7bobo7b2o5b2o7bobo7bobo92b3o6bobo7bobo7b2o5b2o7bo
bo7bobo6b3o\$323bo9bo574bobo8bo6b3o130bo9bo440bo21bo130b2o2bo7bo2b2o
125b2o10bo7bo141bobo5bo10b2o129bobo3bobo141bobo3bobo141bobo3bobo129bo
11bobo3bobo141bobo3bobo11bo129bobo3bobo141bobo3bobo141bobo3bobo141bobo
3bobo141bobo3bobo129bo11bobo3bobo11bo129bobo3bobo141bobo3bobo129bo11bo
bo3bobo11bo120b2o7bobo3bobo7b2o123b2o7bobo3bobo7b2o123b2o7bobo3bobo7b
2o123b2o7bobo3bobo7b2o112bobo8b2o7bobo3bobo7b2o112bobo8b2o7bobo3bobo7b
2o8bobo101bobo8b2o7bobo3bobo7b2o8bobo101bobo8b2o7bobo3bobo7b2o8bobo\$
172bobo6bo142b2o6bo425bo3bo146b2o6b3o140bo6b2o441b2o19b2o129bo4bo7bo4b
o125b2o7bobob2ob2obobo137bobo2bob2obobo7b2o128bobo2bobo2bobo5bobo121bo
bo5bobo2bobo2bobo128bobo6bobo2bobo2bobo6bobo119b2o7bobo2bobo2bobo136b
2obo2bobo2bobo7b2o127b2obo2bobo2bob2o135b2obo2bobo2bob2o5b3o127b2obo2b
obo2bob2o127b3o5b2obo2bobo2bob2o135b2obo2bobo2bob2o124b3o8b2obo2bobo2b
ob2o8b3o124b2obo2bobo2bob2o135b2obo2bobo2bob2o126b2o7b2obo2bobo2bob2o
7b2o102bo6bo16b2obo2bobo2bob2o135b2obo2bobo2bob2o16bo6bo111b2obo2bobo
2bob2o135b2obo2bobo2bob2o119bo15b2obo2bobo2bob2o119bo15b2obo2bobo2bob
2o15bo103bo15b2obo2bobo2bob2o15bo103bo15b2obo2bobo2bob2o15bo\$27bo144b
2o5b2o142b2o7b3o421bobo3bobo293b3o7b2o439bobo19bobo133bo7bo129bo9b2obo
bobobob2o137b2obobobobob2o9bo127b2obobobobob2o5b2o123b2o5b2obobobobobo
bo128b2o5bobobobobobobobo5b2o119b2o7bobobobobobobobo134bo2bobobobobobo
bo7b2o125bo2bobobobobobo2bo133bo2bobobobobobo2bo4bo128bo2bobobobobobo
2bo128bo4bo2bobobobobobo2bo133bo2bobobobobobo2bo133bo2bobobobobobo2bo
133bo2bobobobobobo2bo133bo2bobobobobobo2bo124bobo6bo2bobobobobobo2bo6b
obo102bo3b2o16bo2bobobobobobo2bo126bo6bo2bobobobobobo2bo16b2o3bo104bo
6bo2bobobobobobo2bo6bo98b2o19bo6bo2bobobobobobo2bo6bo119bo6bo2bobobobo
bobo2bo6bo19b2o98bo6bo2bobobobobobo2bo6bo119bo6bo2bobobobobobo2bo6bo
119bo6bo2bobobobobobo2bo6bo\$27bobo143bo6b2o575b2o3b2o1054bobobobo143bo
bobobo143bobobobo9bo123bo9bobobobo2bo129bo7bo2bobobobo2bo7bo128b2o2bob
obobo2b2o133bobo3bobobobo2b2o133bobo3bobobobo3bobo132b2o3bobobobo3b2o
5bo127b2o3bobobobo3b2o127bo5b2o3bobobobo3b2o133b2o3bobobobo3b2o133b2o
3bobobobo3b2o133b2o3bobobobo3b2o133b2o3bobobobo3b2o133b2o3bobobobo3b2o
109b3o4b2o15b2o3bobobobo3b2o125bobo5b2o3bobobobo3b2o15b2o4b3o101bobo5b
2o3bobobobo3b2o5bobo96bobo18bobo5b2o3bobobobo3b2o5bobo105b2o10bobo5b2o
3bobobobo3b2o5bobo18bobo84b2o10bobo5b2o3bobobobo3b2o5bobo10b2o93b2o10b
obo5b2o3bobobobo3b2o5bobo10b2o93b2o10bobo5b2o3bobobobo3b2o5bobo10b2o\$
27b2o299bobo731bobo753bobobobo143bobobobo143bobobobo143bobobobo143bobo
bobo143bobobobo137b2o4bobobobo132bo4b2o4bobobobo4b2o4bo132bobobobo143b
obobobo143bobobobo143bobobobo143bobobobo143bobobobo143bobobobo143bobob
obo143bobobobo130bo2bo9bobobobo130bo2bo9bobobobo9bo2bo98bo18bo2bo9bobo
bobo9bo2bo104bo2bo9bo2bo9bobobobo9bo2bo18bo85bo2bo9bo2bo9bobobobo9bo2b
o9bo2bo91bo2bo9bo2bo9bobobobo9bo2bo9bo2bo91bo2bo9bo2bo9bobobobo9bo2bo
9bo2bo\$169bo159b2o429b3o299b2o755bo3bo145bo3bo145bo3bo12bo119bo12bo3bo
131bo13bo3bo13bo131bo3bo145bo3bo131bobo11bo3bo11bobo131bo3bo145bo3bo
145bo3bo145bo3bo145bo3bo145bo3bo145bo3bo145bo3bo145bo3bo132b2o11bo3bo
132b2o11bo3bo11b2o119b2o11bo3bo11b2o105bo2bo10b2o11bo3bo11b2o105bo2bo
10b2o11bo3bo11b2o10bo2bo91bo2bo10b2o11bo3bo11b2o10bo2bo91bo2bo10b2o11b
o3bo11b2o10bo2bo\$169b2o11bo141b2o3bo146b2o148b2o134bo13b2o148b2o135bo
3b2o7b2o127bo9b2o9b2o137b2o9b2o137b2o9b2o137b2o9b2o126b2o9b2o9b2o137b
2o9b2o9b2o126b2o9b2o8bobo115bobo8b2o9b2o125bobo9b2o9b2o9bobo114b2o9b2o
9b2o137b2o9b2o9b2o117b2o7b2o9b2o7b2o128b2o9b2o137b2o9b2o137b2o9b2o137b
2o9b2o137b2o9b2o137b2o9b2o137b2o9b2o137b2o9b2o108b3o26b2o9b2o137b2o9b
2o26b3o87bo20b2o9b2o20bo91b3o22b2o9b2o115b2o20b2o9b2o22b3o90b2o20b2o9b
2o20b2o93b2o20b2o9b2o20b2o89bo3b2o20b2o9b2o20b2o3bo\$22bobo2bobo138bobo
3b2o5b2o142bo149bo2bo7bo138bo2bo132bo5b2o6bo2bo138b2o6bo2bo138bo7bo2bo
124bobo8bo2bo7bo2bo135bo2bo7bo2bo135bo2bo7bo2bo135bo2bo7bo2bo126b2o7bo
2bo7bo2bo135bo2bo7bo2bo7b2o126bo2bo7bo2bo7b2o117b2o7bo2bo7bo2bo125b2o
8bo2bo7bo2bo8b2o114bobo8bo2bo7bo2bo135bo2bo7bo2bo8bobo124bo2bo7bo2bo
135bo2bo7bo2bo135bo2bo7bo2bo135bo2bo7bo2bo135bo2bo7bo2bo135bo2bo7bo2bo
131b3obo2bo7bo2bob3o127b3obo2bo7bo2bob3o127b3obo2bo7bo2bob3o105bo21b3o
bo2bo7bo2bob3o127b3obo2bo7bo2bob3o21bo90b2o13b3obo2bo7bo2bob3o13b2o94b
o5bo11b3obo2bo7bo2bob3o11bo103bo11b3obo2bo7bo2bob3o11bo5bo97bo11b3obo
2bo7bo2bob3o11bo103bo11b3obo2bo7bo2bob3o11bo95bo7bo11b3obo2bo7bo2bob3o
11bo7bo\$23b2o2b2o144bo2bo4bobo139bo2b2o145bo2b2o8bobo134bo2b2o138bo2bo
3bo2b2o138bo2bo3bo2b2o137b2o2bo3bo2b2o126b2o9b2o2bo3bo2b2o137b2o2bo3bo
2b2o137b2o2bo3bo2b2o137b2o2bo3bo2b2o126bo10b2o2bo3bo2b2o137b2o2bo3bo2b
2o10bo126b2o2bo3bo2b2o137b2o2bo3bo2b2o137b2o2bo3bo2b2o127bo9b2o2bo3bo
2b2o137b2o2bo3bo2b2o9bo120b3o4b2o2bo3bo2b2o4b3o130b2o2bo3bo2b2o137b2o
2bo3bo2b2o137b2o2bo3bo2b2o137b2o2bo3bo2b2o137b2o2bo3bo2b2o137b2o2bo3bo
2b2o137b2o2bo3bo2b2o137b2o2bo3bo2b2o109bo27b2o2bo3bo2b2o137b2o2bo3bo2b
2o27bo88b2o19b2o2bo3bo2b2o19b2o92bo5bobo15b2o2bo3bo2b2o15bobo101bobo
15b2o2bo3bo2b2o15bobo5bo95bobo15b2o2bo3bo2b2o15bobo101bobo15b2o2bo3bo
2b2o15bobo92b3o6bobo15b2o2bo3bo2b2o15bobo6b3o\$23bo4bo144b2obo146b2obo
146b2obo9b2o135b2obo139bob2o3b2obo130b3o6bob2o3b2obo139bob2o3b2obo139b
ob2o3b2obo139bob2o3b2obo139bob2o3b2obo139bob2o3b2obo139bob2o3b2obo139b
ob2o3b2obo139bob2o3b2obo8bo121bo8bob2o3b2obo129bo9bob2o3b2obo9bo129bob
2o3b2obo139bob2o3b2obo133bo5bob2o3b2obo5bo133bob2o3b2obo139bob2o3b2obo
139bob2o3b2obo139bob2o3b2obo124b2o13bob2o3b2obo13b2o124bob2o3b2obo139b
ob2o3b2obo139bob2o3b2obo139bob2o3b2obo139bob2o3b2obo139bob2o3b2obo120b
obo16bob2o3b2obo16bobo101bobo16bob2o3b2obo16bobo101bobo16bob2o3b2obo
16bobo101bobo16bob2o3b2obo16bobo101bobo16bob2o3b2obo16bobo\$174bobobo
145bobobo145bobobo145bobo138b2obo5bobo132bo4bobobo5bobo137bobobo5bobo
137bobobo5bobo139bobo5bobo139bobo5bobo139bobo5bobo139bobo5bobo139bobo
5bobo139bobo5bobo7b2o121b2o7bobo5bobo129b2o8bobo5bobo8b2o129bobo5bobo
139bobo5bobo132bo6bobo5bobo6bo132bobo5bobo139bobo5bobo139bobo5bobo139b
obo5bobo123bobo13bobo5bobo13bobo123bobo5bobo139bobo5bobo139bobo5bobo
139bobo5bobo139bobo5bobo139bobo5bobo121bo17bobo5bobo17bo103bo17bobo5bo
bo17bo103bo17bobo5bobo17bo103bo17bobo5bobo17bo103bo17bobo5bobo17bo\$
174bo2b2o145bo2b2o145bo2b2o145bobob2o138bo5bobob2o128bo5b2o2bo5bobob2o
134b2o2bo5bobob2o134b2o2bo5bobob2o133b2obobo5bobob2o133b2obobo5bobob2o
133b2obobo5bobob2o133b2obobo5bobob2o133b2obobo5bobob2o133b2obobo5bobob
2o4bobo119bobo4b2obobo5bobob2o125bobo5b2obobo5bobob2o5bobo112b2o11b2ob
obo5bobob2o133b2obobo5bobob2o11b2o120b2obobo5bobob2o133b2obobo5bobob2o
133b2obobo5bobob2o133b2obobo5bobob2o133b2obobo5bobob2o122bo10b2obobo5b
obob2o10bo122b2obobo5bobob2o133b2obobo5bobob2o133b2obobo5bobob2o133b2o
bobo5bobob2o133b2obobo5bobob2o112b3o18b2obobo5bobob2o18b3o112b2obobo5b
obob2o133b2obobo5bobob2o133b2obobo5bobob2o133b2obobo5bobob2o133b2obobo
5bobob2o\$173b2o148b2o148b2o148b2ob2obo138b2o3b2ob2obo138b2o3b2ob2obo
138b2o3b2ob2obo138b2o3b2ob2obo133bob2ob2o3b2ob2obo133bob2ob2o3b2ob2obo
133bob2ob2o3b2ob2obo114b2o17bob2ob2o3b2ob2obo133bob2ob2o3b2ob2obo17b2o
114bob2ob2o3b2ob2obo133bob2ob2o3b2ob2obo133bob2ob2o3b2ob2obo121b2o10bo
b2ob2o3b2ob2obo133bob2ob2o3b2ob2obo10b2o121bob2ob2o3b2ob2obo133bob2ob
2o3b2ob2obo133bob2ob2o3b2ob2obo133bob2ob2o3b2ob2obo133bob2ob2o3b2ob2ob
o133bob2ob2o3b2ob2obo133bob2ob2o3b2ob2obo133bob2ob2o3b2ob2obo133bob2ob
2o3b2ob2obo133bob2ob2o3b2ob2obo133bob2ob2o3b2ob2obo114bo18bob2ob2o3b2o
b2obo18bo94b2o18bob2ob2o3b2ob2obo18b2o93b2o18bob2ob2o3b2ob2obo18b2o93b
2o18bob2ob2o3b2ob2obo18b2o93b2o18bob2ob2o3b2ob2obo18b2o93b2o18bob2ob2o
3b2ob2obo18b2o\$1793bobo201bobo550bo191bo1750bo55bo92bo2bo51bo2bo91bo2b
o51bo2bo91bo2bo51bo2bo91bo2bo51bo2bo91bo2bo51bo2bo\$1795bo201bo2197bo
201bo244bo2bo51bo2bo91bo2bo51bo2bo91bo2bo51bo2bo91bo2bo51bo2bo91bo2bo
51bo2bo\$469bo755bo2bo2966b2o199b2o245b2o53b2o93b2o53b2o93b2o53b2o93b2o
53b2o93b2o53b2o\$470b2o752bo2691b2o148b2o7b2o117bobo19b2o7b2o139b2o7b2o
19bobo117b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o17bo103bo17b2o
7b2o17bo\$469b2o3b2o748bo3bo2687b2o148b2o7b2o139b2o7b2o139b2o7b2o139b2o
7b2o139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o16bobo101bobo16b2o7b2o16bo
bo\$473bobo3b2o6b2o729b2o4b4o3916b2o101b2o3b3o33b3o3b2o\$475bo2bobo6bobo
713b2o8b2o3bobo2540bo154b2o13bo134b2o7b2o139b2o7b2o139b2o7b2o139b2o7b
2o139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o127bo11b2o7b2o11bo\$480bo6bo
126bo587bobo8bobo2bo2540bobo5b2o147b2o6b2o5bobo132b2o7b2o139b2o7b2o
139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o139b2o7b2o126bo12b2o
7b2o12bo\$469b3o141b2o589bo8bo2546b2o5bobo153bobo5b2o\$471bo11b2o128bobo
605b2o2544bo157bo1066b2o105b2o\$b2o467bo12bobo119b3o599b2o12bobo2539b2o
163b2o563b2o53b2o441bobo2b2o97b2o2bobo\$obo480bo123bo598bobo12bo2541bob
o161bobo562bobo53bobo442bo2bobo95bobo2bo\$2bo603bo601bo2554bo165bo564bo
53bo447bo99bo145b2o55b2o\$479bo119bo4643b2o13bo25bo13b2o\$479b2o118b2o
613bo4027bo15b2o23b2o15bo\$478bobo117bobo612b2o7b2o3774b2o93b2o162bobo
23bobo\$1213bobo6bobo3773bobo91bobo\$1222bo3775bo95bo\$617bo15b2o\$616b2o
15bobo\$616bobo14bo\$5219b3o99b3o\$5221bo99bo\$5220bo101bo8\$5231b2o77b2o\$
5230bobo77bobo\$5232bo77bo!``````
Continuous synthesis:

Code: Select all

``````x = 809, y = 773, rule = B3/S23
23bo761bo\$24b2o13bobo741b2o\$23b2o15b2o742b2o\$40bo\$29bo3bo741bo3bo\$30bo
3b2o724bobo10b2o3bo\$28b3o2b2o725b2o12b2o2b3o\$44bo716bo\$45b2o\$36bo7b2o
726bo\$20bo13bobo724bo10bobo13bo\$bo19bo13b2o723bo11b2o13bo19bo\$2b2o15b
3o738b3o24b3o15b2o\$b2o803b2o2\$38bobo727bobo\$39b2o727b2o\$39bo729bo2\$20b
o23bo743bo\$21bo20bobo742bo\$19b3o21b2o742b3o3\$46bo712bo\$44bobo668bo43bo
bo\$45b2o668bobo41b2o\$715b2o\$20bo767bo\$21bo735bo29bo\$19b3o76bo658bobo
27b3o\$96bobo658b2o\$97b2o3\$763bo\$762bo\$762b3o\$93bobo\$94b2o\$50bo43bo\$51b
o\$49b3o\$708bobo51bobo\$708b2o52b2o\$709bo53bo3\$49bobo\$50b2o\$50bo9\$56bo
695bo\$57b2o691b2o\$56b2o693b2o12\$71bo609bobo\$69bobo609b2o\$70b2o610bo5\$
133bo596bo\$134b2o593bo\$133b2o594b3o\$115bo\$106bo9b2o9bo574bo\$104bobo8b
2o8bobo574bobo\$105b2o19b2o574b2o2\$683bo\$108bo566bobo3b2o17bo\$109bo565b
2o5b2o15bo\$107b3o566bo22b3o\$112bobo\$113b2o552bo\$113bo553bobo\$120bobo
544b2o\$121b2o\$121bo3\$676bo\$664bo9b2o\$664bobo8b2o\$664b2o2\$142bo\$143b2o
3bobo\$142b2o5b2o\$149bo\$677bobo\$158bo518b2o\$156bobo519bo\$157b2o510bobo\$
669b2o\$670bo3\$131bo545bo\$132bo543bo12bo\$130b3o543b3o10bobo\$689b2o8\$
183bo\$184b2o\$183b2o2\$649bo\$619bo28bo\$146bo472bobo26b3o11bo\$144bobo472b
2o41bobo\$145b2o515b2o\$163bo486bo\$164b2o482b2o\$163b2o484b2o3\$143bo20bo\$
144bo17bobo32bobo450bobo\$142b3o18b2o33b2o450b2o\$198bo452bo2\$162bo469bo
\$163bo468bobo\$161b3o468b2o3\$632bobo\$168bo430bobo30b2o6bo\$169b2o428b2o
32bo4b2o\$168b2o430bo38b2o2\$166bo19bo455bo\$167bo16bobo447bo6bo\$165b3o
17b2o445b2o7b3o\$633b2o2\$184bobo449bo\$185b2o448bo\$185bo449b3o\$199bo\$
197bobo\$198b2o4bo401bobo\$184bo20bo400b2o\$185b2o16b3o401bo\$184b2o2\$182b
o\$183bo433bobo\$181b3o433b2o\$599bo18bo\$599bobo\$210bobo381bo4b2o\$211b2o
380bo\$211bo381b3o3\$215bo377bo\$199bobo14b2o373b2o\$200b2o13b2o5bo363bo5b
2o\$200bo22bo361bo\$221b3o361b3o24\$234bobo335bobo\$235b2o335b2o\$235bo337b
o2\$247bo313bo\$245bobo313bobo\$246b2o313b2o17\$248bo\$249b2o9bo\$248b2o8bob
o\$259b2o\$254bo283bo\$255b2o281bobo\$254b2o282b2o\$533bo\$532bo\$532b3o3\$
533bo\$531b2o\$532b2o2\$283bobo\$284b2o\$284bo2\$272bo256bobo\$273b2o5bobo
246b2o\$272b2o7b2o247bo\$281bo2\$266bo\$264bobo\$265b2o4\$278bobo225bobo\$
279b2o225b2o\$279bo227bo24\$492bo9bobo\$491bo10b2o\$491b3o9bo\$326bo\$327bo
168bobo\$325b3o168b2o\$497bo\$332bo\$330bobo\$331b2o4\$477bo\$476bo7bo11bo\$
476b3o5bobo8bo\$484b2o9b3o7\$325bobo\$326b2o\$326bo11\$460bo\$460bobo\$460b2o
3\$355bobo102bobo\$356b2o102b2o\$356bo104bo56\$652bo2bo\$651bo\$651bo3bo\$
651b4o55\$334b2o\$333bobo\$335bo2\$330b3o\$332bo152b3o\$331bo153bo\$486bo14\$
330b3o\$332bo2b3o158b3o\$331bo5bo158bo\$326b2o8bo160bo\$325bobo\$327bo164b
3o\$492bo\$493bo2\$335b2o\$336b2o\$335bo3\$483b3o\$483bo\$301b2o181bo\$302b2o\$
301bo2\$294b3o\$296bo\$282b2o11bo\$283b2o\$282bo221bo\$486b3o14b2o\$486bo16bo
bo\$487bo7\$271bo\$271b2o\$270bobo10\$523b2o\$264b2o252b2o3bobo\$263bobo252bo
bo2bo\$265bo252bo\$526b2o\$268b2o256bobo\$267bobo256bo\$243b3o23bo293b3o\$
245bo317bo\$244bo274bo44bo\$518b2o7b2o\$518bobo6bobo\$527bo9\$232b2o341b2o\$
233b2o339b2o\$232bo343bo5\$223b3o357b3o\$225bo357bo\$224bo359bo3\$221b2o
363b2o\$222b2o361b2o\$221bo365bo9\$204bo\$204b2o\$203bobo4\$203bo\$203b2o\$
202bobo2\$614bo\$613b2o\$613bobo\$192b3o\$194bo\$193bo\$615bo\$614b2o\$614bobo
5\$624b3o\$624bo\$625bo7\$183b2o\$184b2o\$183bo8\$634b2o\$633b2o\$635bo3\$167b2o
471b2o\$168b2o469b2o\$160b2o5bo473bo\$161b2o\$160bo3\$156b3o492b3o\$158bo
492bo\$157bo494bo2\$656bo\$655b2o\$655bobo8\$147b3o509b3o\$149bo509bo\$148bo
511bo\$672b2o\$671b2o\$673bo8\$128b2o549b2o\$127bobo549bobo\$129bo549bo4\$
650b3o\$118b2o530bo\$119b2o530bo\$118bo527b3o\$646bo\$647bo5\$107bo593bo\$
107b2o591b2o\$106bobo591bobo12\$132b2o\$131bobo\$133bo\$136b2o\$135bobo\$137b
o\$732b3o\$732bo\$733bo5\$67b2o\$66bobo656bo\$68bo655b2o\$724bobo6\$75b2o\$76b
2o\$75bo6\$45b2o\$44bobo\$46bo2\$50b3o\$52bo714b2o\$51bo715bobo\$54b3o695b3o
12bo\$56bo695bo\$55bo697bo7b3o\$761bo\$762bo8\$55b2o695b2o\$54bobo695bobo\$
56bo695bo4\$97b2o\$96bobo658b2o\$98bo658bobo\$757bo2\$715b2o\$45b2o668bobo
41b2o\$44bobo668bo43bobo\$46bo712bo3\$43b2o\$42bobo\$44bo7\$33b3o737b3o\$35bo
737bo\$34bo739bo5\$23b2o759b2o\$24b2o13bo729bo13b2o\$23bo15b2o727b2o15bo\$
38bobo727bobo6\$3o803b3o\$2bo803bo\$bo805bo8\$12b2o781b2o\$11bobo781bobo\$
13bo781bo!``````

calcyman
Posts: 2425
Joined: June 1st, 2009, 4:32 pm

### Re: Small Spaceship Syntheses

Goldtiger997 wrote:
March 8th, 2021, 6:53 am
Goldtiger997 wrote:
March 6th, 2021, 4:49 am
Here's a final step for a xq4_2534uof1u0u1fou4352zy087084048078zx3igi3x3igi3 synthesis, which is heavily based on a previous partial result by Kazyan:
I was able to complete this into a 215 glider synthesis, which should make a good starting point for further reductions:
Congratulations! This is the second c/4 orthogonal ship to be synthesised.

It's in Catagolue now -- https://catagolue.hatsya.com/object/xq4 ... igi3/b3s23 -- so might be auto-improved the next time Alex Greason runs a transfer search.
What do you do with ill crystallographers? Take them to the mono-clinic!

iNoMed
Posts: 168
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

### Re: Small Spaceship Syntheses

44P5H2V0 in 39 gliders (Down from 40), by identifying a sub-optimal frontend-activation in the final step (Specifically, the post-activation cleanup was using too many gliders):

Code: Select all

``````x = 60, y = 61, rule = B3/S23
15bo\$16b2o\$15b2o3\$16bo\$14bobo26bo\$15b2o24b2o\$42b2o6\$59bo\$57b2o\$58b2o3\$
59bo\$29bo22bo4b2o\$28bobo20bo6b2o\$11bo16b2o21b3o\$11bobo\$bo5bo3b2o15b2o\$
2bo5bo15bo3bobob2o\$3o3b3o14bobo4bobobo\$16b3o3bo2bo4bo3bo\$23b2o4b2o3b2o
\$14bo5bo\$14bo5bo\$14bo5bo\$23b2o4b2o3b2o\$16b3o3bo2bo4bo3bo\$23bobo4bobobo
\$24bo3bobob2o\$28b2o2\$28b2o\$28bobo20bo\$29bo20b2o\$50bobo11\$42b2o\$15b2o
24b2o\$14bobo26bo\$16bo3\$15b2o\$16b2o\$15bo!``````
And here's the continuous synthesis:

Code: Select all

``````x = 163, y = 162, rule = B3/S23
141bobo2bobo\$141b2o3b2o\$142bo4bo4\$140bo\$19bo120bobo\$20b2o118b2o\$19b2o
7\$6bobo145bobo\$7b2o145b2o\$7bo147bo22\$32bo\$24bobo6bo\$25b2o4b3o\$25bo3\$
139bo\$138bo\$138b3o\$121bo\$120bo\$120b3o13\$66bo\$67bo27bobo\$65b3o27b2o\$96b
o2\$69bo\$67bobo\$68b2o18\$63b2o32b3o\$64b2o31bo\$63bo34bo2\$74bo\$74b2o\$73bob
o\$67bo\$67b2o\$66bobo\$93b3o\$93bo\$94bo3\$100b2o\$99b2o\$101bo\$55b2o\$56b2o\$
55bo46b2o\$50b2o49b2o\$51b2o50bo\$50bo72b2o\$123bobo\$59b3o61bo\$61bo\$60bo5\$
29b2o10b2o\$28bobo11b2o\$30bo10bo68b3o\$110bo\$111bo2\$47bo\$42bo4b2o\$42b2o
2bobo83b2o\$41bobo87b2o\$133bo5\$124b3o\$124bo\$125bo3\$29b3o\$31bo\$30bo\$bo
159bo\$b2o2b3o147b3o2b2o\$obo4bo147bo4bobo\$6bo21b3o125bo\$30bo\$29bo4\$136b
2o\$136bobo\$136bo4\$136b2o\$136bobo\$136bo!``````

Code: Select all

``````x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o\$2o2bobo3bo2bobobobobobobobobobo\$obobo2bo2bob
o2bobo2bo2bobo3bobo\$2bobo3bobobobo2bo5bobo3bobob2o\$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!``````

Goldtiger997
Posts: 646
Joined: June 21st, 2016, 8:00 am

### Re: Small Spaceship Syntheses

calcyman wrote:
March 8th, 2021, 7:55 am
Congratulations! This is the second c/4 orthogonal ship to be synthesised.
Those two c/4 spaceships are a little less lonely now, because I found a 152-glider synthesis for xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221, which has already been noticed and slightly improved by users on the Discord:

Code: Select all

``````x = 2747, y = 75, rule = B3/S23
2691bo\$2692bo\$2690b3o3\$2726bo\$2725bo\$2725b3o\$2662bobo10bo57bo10bobo\$
2663b2o11bo37bo5bo11bo11b2o\$2663bo10b3o37bobo3bobo9b3o10bo\$2679bo34b2o
4b2o7bo\$2680b2o2bo42b2o\$2679b2o4b2o41b2o\$2684b2o3\$2669bobo65bobo\$2670b
2o65b2o\$2670bo67bo2\$1810bo77bo\$1811bo75bo\$7bo799bo1001b3o14bo45bo14b3o
\$5b2o800bobo1014b2o47b2o\$obo3b2o799b2o1016b2o45b2o88bo133bo\$b2o796bo
1163bo131bo\$bo798b2o269bo889b3o131b3o\$380bo327bo90b2o6b3o262bo\$9b2o82b
2o88b2o88b2o88b2o14bo73b2o5bo5bo76b2o88b2o74bo13b2o84bo3b2o88b2o88b2o
75b3o10b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o
88b2o88b2o88b2o88b2o88b2o88b2o\$9bobo81b2o88b2o88b2o88b2o14b3o71b2o6b2o
b2o77b2o88b2o72b3o13b2o83bo4b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b
2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o88b2o\$9b
o450b2o3b2o86bo897bobo450b2o58bo8b2o19b2o67b2o19b2o8bo58b2o19b2o67b2o
19b2o67b2o19b2o67b2o19b2o67b2o19b2o67b2o19b2o67b2o19b2o\$93b4o86b4o86b
4o86b4o86b4o3bo82b4o6bobo77b4o86b4o86b4o86b4o86b4o86b4o86b4o86b4o7bo
78b4o86b4o5b3o78b4o86b4o3bobo73bobo4b4o3bo77bo4b4o3bo77bo4b4o6bo2bo57b
2o6bo2bo7b4o6bo2bo65bo2bo7b4o6bo2bo6b2o57bo2bo7b4o6bo2bo65bo2bo7b4o6bo
2bo65bo2bo7b4o6bo2bo65bo2bo7b4o6bo2bo65bo2bo7b4o6bo2bo65bo2bo7b4o6bo2b
o65bo2bo7b4o6bo2bo\$2b2o89bo2bo86bo2bo86bo2bo86bo2bo10bo75bo2bo4b2o80bo
2bo6b2o78bo2bo74bo11bo2bo86bo2bo86bo2bo86bo2bo86bo2bo86bo2bo86bo2bo5bo
b2obo75bo2bo86bo2bo5bobobo76bo2bo86bo2bo3b2o75b2o4bo2bo2bobo75bobo3bo
2bo2bobo75bobo3bo2bo3b2o2b2o57bobo7b2o2b2o4bo2bo3b2o2b2o66b3o2b2o4bo2b
o3b2o2b2o7bobo56b3o2b2o4bo2bo3b2o2b3o65b3o2b2o4bo2bo3b2o2b3o65b3o2b2o
4bo2bo3b2o2b3o65b3o2b2o4bo2bo3b2o2b3o65b3o2b2o4bo2bo3b2o2b3o65b3o2b2o
4bo2bo3b2o2b3o65b3o2b2o4bo2bo3b2o2b3o\$3b2o370b2o84bobo91bo156b2o559b2o
bo177b2o175b4o69b4o11bobo75bobo9bobo75bobo9bo2b2o71b2o2bo9bo2b2o71b2o
2bo9bo2b2o71b2o2bo9bo2b2o71b2o2bo9bo2b2o71b2o2bo9bo2b2o71b2o2bo9bo2b2o
71b2o2bo9bo2b2o71b2o2bo9bo2b2o71b2o2bo9bo2b2o\$2bo179bo190bob3o78bo89bo
7b3o79bo74b3obo10bo76bo8bo3bo85bo3bo85bo3bo85bo3bo85bo3bo85bo3bo9b3o
73bo3bo85bo3bo8b2o75bo3bo85bo3bo6b2o69b2o6bo3bo3bo77bo3bo3bo3bo77bo3bo
3bo3b2o2b2o67b2o2b2o3bo3bo3b2o2b2o68bo2b2o3bo3bo3b2o2b2o68bo2b2o3bo3bo
3b2o2bo69bo2b2o3bo3bo3b2o2bo69bo2b2o3bo3bo3b2o2bo69bo2b2o3bo3bo3b2o2bo
69bo2b2o3bo3bo3b2o2bo69bo2b2o3bo3bo3b2o2bo69bo2b2o3bo3bo3b2o2bo\$181bob
o83bo4b2ob2o85b2ob2o5b2o78b2obobo84b2obobo6bo70bo6b2obobo77b2o5b2obobo
75b2o6bobobobo83bobobobo83bobobobo83bobobobo83bobobobo83bobobobo83bobo
bobo83bobobobo83bobobobo83bobobobo5bobo67bobo5bobobobo83bobobobo83bobo
bobo5bo2bo65bo2bo5bobobobo5bo2bo66bobo5bobobobo5bo2bo66bobo5bobobobo5b
obo67bobo5bobobobo5bobo67bobo5bobobobo5bobo67bobo5bobobobo5bobo67bobo
5bobobobo5bobo67bobo5bobobobo5bobo67bobo5bobobobo5bobo\$182bo85bo2bobob
obo85bobo6bobo78bobobo85bobobo7bo70b2o5bobobo2b2o72bobo6bobobo2b2o70bo
bo6bobobobo2b2o79bobobobo2b2o79bobobobo2b2o79bobobobo2b2o79bobobobo2b
2o79bobobobo2b2o79bobobobo2b2o79bobobobo2b2o79bobobobo83bobobobo83bobo
bobo83bobobobo13b2o53b2o13bobobobo6b2o56b3o8b2o6bobobobo6b2o68bo6bobob
obo6b2o8b3o52bo4bo6bobobobo6bo69bo6bobobobo6bo69bo6bobobobo6bo4bo64bo
6bobobobo6bo69bo6bobobobo6bo69bo6bobobobo6bo69bo6bobobobo6bo\$188bo77b
3o3bo3bo86bobo87bobob2o84bobobobo75b2o6bobobobobo81bobobobobo78b2obobo
bobobo77bobobobobobobo77bobobobobobobo77bobobobobobobo76b2obobobobobob
o76b2obobobobobobo76b2obobobobobo2bo75b2obobobobobo2bo75b2obobobobob2o
bo75b2obobobobob2o77b2obobobobob2o77b2obobobobob2o10bobo51bobo10b2obob
obobob2o63bo13b2obobobobob2o77b2obobobobob2o13bo55b2o6b2obobobobob2o
69b2o6b2obobobobob2o69b2o6b2obobobobob2o6b2o61b2o6b2obobobobob2o6b2o
61b2o6b2obobobobob2o6b2o61b2o6b2obobobobob2o6b2o61b2o6b2obobobobob2o6b
2o\$181bo5b2o175bo89bo89bo3b2o84bo3bo85b2ob2o85b2ob2o80b2o3b2ob2o74bo5b
2o2bobob2o80b2o2bobob2o79bo2bobobob2o79bo2bobobob2o79bo2bobobob2o2b2o
75bo2bobobob2o2b2o75bo2bobobobobob2o75bo2bobobobo2bo77bo2bobobobo2bo
77bo2bobobobo2bo10bo55bo10bo2bobobobo2bo62bo14bo2bobobobo2bo77bo2bobob
obo2bo14bo51b4o7bo2bobobobo2bo69b2o6bo2bobobobo2bo69bo2bo4bo2bobobobo
2bo7b4o58bo2bo4bo2bobobobo2bo6b2o61bo2bo4bo2bobobobo2bo4bo2bo61bo2bo4b
o2bobobobo2bo4bo2bo61bo2bo4bo2bobobobo2bo4bo2bo\$180b2o5bobo794b2o7b2o
74b2o12bobo84b2obobo9bo74b2obobo7b2o75b2obobo84b2obobo84b2obobob2o10b
2o69b2obobob2o81b2obobob2o81b2obobob2o81b2obobob2o81b2obobob2o81b2obob
ob2o67b3o11b2obobob2o81b2obobob2o73b2o6b2obobob2o11b3o59b2o6b2obobob2o
73b2o6b2obobob2o6b2o65b2o6b2obobob2o6b2o65b2o6b2obobob2o6b2o\$180bobo
85b3o4bo100b3o172b3o156b3o270b2o83bobo13b2o88b2o7b2o78bobo6bobo4bo73bo
bo87bobo87bobo12b2o73bobo87bobo87bobo87bobo87bobo87bobo71b2o14bobo87bo
bo87bobo14b2o71bobo87bobo87bobo5bo65bo9bo5bobo5bo9bo\$93b2o175bo4b2o99b
o176bo158bo357bo113b2o77b2o9bo2b2o74b2o88b2o88bobo14bo72bobo87bobo87bo
bo15b2o53b2o15bobo87bobo87bobo70bo16bobo87bobo87bobo16bo70bobo87bobo
87bobo4bobo51b2o12bo7bobo4bobo4bobo7bo12b2o\$85b2o5bobo3b2o169bo4bobo
100bo174bob3o154bo183bo382b2o64bo189bo89bo89bo89bo5b2o8b2o55b2o8b2o5bo
89bo89bo89bo67bobo19bo89bo89bo19bobo67bo89bo4bo2bo52b2o9b3o7bo2bo4bo4b
o2bo7b3o9b2o\$84bobo7bo2b2o455b2o80b2o257b2o180bo267b2o89bobo4b2o99b2o
265b2o9bo53bo9b2o345b3obo213bob3o164b2o52bo22b2o11b2o22bo\$86bo12bo456b
o78bobo256bobo92b2o84bobo266b2o91b2o4b2o7b2o89b2o265bo5bo65bo5bo344bo
3b2o211b2o3bo74b3o73b3o\$637bo262b2o88b2o83b3o100b2o257bo13b2o88bobobo
269b2o65b2o352bobo11bo187bo11bobo77bo2bo71bo2bo\$629b2o9b2o3b2o252b2o
88bobobo79b3o101b2o274bo87b3o271bobo63bobo365b2o187b2o90bo5b2o63b2o5bo
\$630b2o8bobob2o255bo89b3o80b2o2b2o95bobobo360bobo706bobo185bobo90bo3b
3o65b3o3bo\$389b2o238bo10bo5bo3b2o46b2o196b2o94bobo78bo3b2o96b3o269b2o
1081bo6bo63bo6bo\$388b2o259b2o48b2o196b2o180bo94bobo269bobo1082bobo71bo
bo\$390bo260bo46bo197bo454bo96bo504b3o147b3o602b2o\$1352b2o2bo78b2o16b2o
500bo147bo131b3o213b3o217b2o9b3o22b2o15b3o9b2o\$630b2o719b2ob2o80b2o15b
obo498bo149bo132bo213bo220b2o10bo24bo14bo10b2o\$631b2o722b2o78bo17bo
777bo4bo215bo4bo213bo11bo17b2o22bo11bo\$630bo1600b2o223b2o242bobo\$2230b
obo223bobo243bo9b2o\$1452b2o1219b2o37bobo19b2o\$1451b2o1214b2o3bobo13bo
23bo7bo13bobo3b2o\$1453bo1214b2o4bo13b2o29b2o13bo4b2o\$2667bo19bobo29bob
o19bo3\$909bo1766b3o17b2o32b3o\$908b2o1768bo16bobo32bo\$908bobo1766bo19bo
33bo\$2683bo\$2683b2o\$2682bobo3\$2727bo\$2726b2o\$2726bobo!``````
Continuous synthesis:

Code: Select all

``````x = 653, y = 878, rule = B3/S23
29bo\$27bobo\$28b2o3\$632bo\$632bobo\$o631b2o18bo\$b2o10bo607bo5bo11bo10b2o\$
2o9bobo606bo5bo12bobo9b2o\$12b2o606b3o3b3o10b2o\$16bobo615bobo\$17b2o2bob
o610b2o\$17bo4b2o611bo\$22bo2\$7bo637bo\$8b2o633b2o\$7b2o635b2o23\$25bo601bo
\$23bobo601bobo\$24b2o601b2o20\$53bo\$54b2o\$53b2o2\$46bo\$47bo545bo\$45b3o
545bobo\$593b2o2\$602bo\$600b2o\$601b2o\$68bobo\$69b2o478bo\$69bo478bo\$75bo
472b3o\$76b2o500bo\$75b2o500bo\$107bo469b3o\$108b2o\$107b2o462bo\$571bobo\$
571b2o7\$556bobo\$556b2o\$557bo21\$134bo\$135b2o\$134b2o\$536bobo\$536b2o\$537b
o8\$119bo\$120b2o9bobo\$119b2o11b2o\$132bo13\$134bo\$135bo\$133b3o4\$169bo\$
170b2o\$141bo27b2o333bobo\$142bo361b2o4bo\$140b3o362bo3bo\$509b3o4\$506bo\$
505bo\$505b3o5\$168bo\$166bobo\$167b2o6\$486bo\$485bo\$485b3o6\$173bo\$174bo\$
172b3o267bo\$441bo\$179bo261b3o\$180bo\$178b3o7bobo\$189b2o\$189bo26\$212bobo
\$213b2o\$213bo2\$217bo\$218bo\$216b3o2\$426bo\$426bobo\$426b2o2\$224bobo\$225b
2o\$225bo2\$250bobo165bobo\$251b2o165b2o\$251bo167bo19\$402bo\$400b2o\$401b2o
\$255bo\$253bobo122bo\$254b2o17bo104bobo16bo\$274bo103b2o17bobo\$272b3o122b
2o103\$382bo\$381b2o\$381bobo2\$274b2o\$273bobo\$275bo6\$276b3o100bo\$268b3o7b
o99b2o\$270bo6bo100bobo\$269bo\$393b3o\$393bo\$394bo3\$391b2o5b2o\$384b2o5bob
o3b2o\$384bobo4bo7bo\$384bo2\$256b2o\$255bobo4b2o\$257bo5b2o\$262bo147b2o\$
410bobo\$410bo4\$415b2o\$414b2o\$416bo10\$427b3o\$427bo\$428bo4\$220b2o20b3o\$
219bobo22bo\$221bo21bo184b2o\$427b2o\$429bo\$216bo18b3o\$216b2o19bo\$215bobo
11bo6bo193bo\$229b2o193b3o2b2o\$228bobo193bo4bobo3bo\$425bo8b2o\$434bobo2\$
230bo\$203b3o24b2o\$205bo23bobo\$204bo2\$197b2o\$196bobo\$198bo9bo\$208b2o\$
207bobo\$431b2o\$430b2o\$432bo\$192b2o15b2o\$193b2o15b2o\$192bo16bo12\$440bo\$
439b2o\$439bobo8\$184b3o\$186bo\$185bo275b2o\$461bobo\$165b3o293bo\$167bo\$
166bo4\$170bo\$170b2o294bo\$169bobo293b2o\$465bobo\$479b3o\$479bo\$177b2o301b
o\$176bobo\$178bo6\$169b2o\$170b2o\$169bo13\$129bo\$129b2o\$128bobo21\$534bo\$
533b2o\$533bobo3\$129b3o\$131bo\$118bo11bo\$118b2o414b3o\$117bobo414bo\$535bo
\$555b3o\$534bo20bo\$533b2o21bo\$533bobo24bo\$550b3o6b2o\$550bo8bobo\$118b2o
431bo16bo7bo\$117bobo447b2o6b2o\$119bo447bobo5bobo3\$71b2o6b2o486b2o\$70bo
bo5bobo27b2o457bobo6b3o\$72bo7bo26bobo457bo8bo\$109bo467bo\$561b3o\$70bo8b
2o480bo\$70b2o8b2o466b2o12bo\$69bobo7bo467b2o\$85bo463bo\$85b2o\$84bobo5\$
585b3o\$585bo\$586bo2\$61bo\$61b2o\$60bobo6\$596b2o\$596bobo\$596bo3\$50b2o\$51b
2o544b2o\$50bo545b2o\$75b2o521bo\$76b2o\$75bo\$49b3o\$51bo\$50bo529b3o15b2o\$
580bo17bobo\$581bo16bo\$603b2o\$602b2o\$48b2o554bo\$49b2o\$48bo\$43b3o558b3o\$
45bo558bo\$44bo560bo2\$42bo\$42b2o\$41bobo6\$12bo627bo\$12b2o625b2o\$11bobo
625bobo7\$615bo\$9bo10b2o592b2o15b2o10bo\$9b2o8bobo592bobo14bobo8b2o\$8bob
o10bo609bo10bobo\$38b3o\$40bo\$39bo578b3o\$5bo4b3o605bo21b3o4bo\$5b2o5bo12b
2o592bo6b2o12bo5b2o\$4bobo4bo14b2o597b2o14bo4bobo\$25bo601bo2\$14b2o621b
2o\$13bobo17b3o601bobo\$15bo19bo601bo\$34bo\$20b2o\$21b2o\$20bo3\$633b2o\$632b
2o\$634bo220\$333bo\$332b3o\$331b2obo\$331b3o\$331b3o\$332b2o5\$318b3o\$318bo2b
o\$318bo\$318bo3bo\$318bo\$319bobo!``````
It should be possible to significantly reduce the synthesis by finding a better way of making the base constellation.

iNoMed
Posts: 168
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

### Re: Small Spaceship Syntheses

Here are some assorted improvements to xq4_y2oo7t0t7ooz2qgx8t2rgr2t8xgq2z122166y5661221 made since the above post, all of which are outwith the assembly of the central xs35 (in anticipation of a direct synthesis).

Combining the conversion of an infamously-named xs19 scaffold (and a subsequent block-assembly) into one step saves two gliders over doing them separately:

Code: Select all

``````x = 202, y = 79, rule = B3/S23
24bobo\$24b2o\$25bo6\$obo\$b2o\$bo4\$115bo\$116bo\$24bo89b3o11bo\$14bo8bo103bo\$
15bo7b3o101b3o\$13b3o2bobo96bo\$19b2o97b2o5bo\$19bo97b2o7bo\$124b3o3\$69b2o
61b2o57b2o\$69b2o61b2o58bo\$15bo3bo55b2o61b2o50bo6b2o\$14bobobobo51bo2bob
o57bo2bobo49b2o2bo2bobo\$14bobobobo50bobobobo56bobobobo52bobobobo\$15bob
obo52bobobo58bobobo54bobobo\$17bo56bo62bo58bo\$16bobo54bobo60bobo56bobo\$
12b2o2bobo50b2o2bobo56b2o2bobo52b2o2bobo\$13bo3bo52bo3bo58bo3bo54bo3bo\$
11bo56bo53b3o6bo58bo\$11b5o52b5o51bo6b5o54b5o\$16bo56bo49bo12bo58bo\$9b7o
2b2ob2o43b7o2b2ob2o49b7o2b2ob2o45b7o2b2ob2o\$8bo10bob2o42bo10bob2o48bo
10bob2o44bo10bob2o\$9b7o3bo46b7o3bo52b7o3bo48b7o3bo\$16bob2o53bob2o59bob
2o42bo12bob2o\$11b5o52b5o58b5o47bo6b5o\$11bo56bo62bo49b3o6bo\$13bo3bo52bo
3bo58bo3bo54bo3bo\$12b2o2bobo50b2o2bobo56b2o2bobo52b2o2bobo\$16bobo54bob
o60bobo56bobo\$17bo56bo62bo58bo\$15bobobo52bobobo58bobobo54bobobo\$14bobo
bobo50bobobobo56bobobobo52bobobobo\$14bobobobo50bobobobo57bo2bobo53bo2b
obo\$15bo3bo52bo3bo61b2o57b2o\$132b2o57b2o\$132b2o57b2o3\$183b3o\$76bo99b2o
7bo\$76b2o99b2o5bo\$70b3o2bobo98bo\$72bo7b3o103b3o\$71bo8bo105bo\$81bo91b3o
11bo\$175bo\$174bo4\$58bo\$58b2o\$57bobo6\$82bo\$81b2o\$81bobo!``````
Simplifying the block-on-table activation in the final step saves two more gliders over the original synthesis:

Code: Select all

``````x = 63, y = 81, rule = B3/S23
20bo\$18bobo\$19b2o5\$52bobo\$20bo31b2o\$21b2o30bo\$16bo3b2o\$14bobo13bo30bo\$
15b2o14b2o27bo\$10bo19b2o28b3o\$11bo\$9b3o\$59bo\$57b2o\$58b2o\$21bo\$5bobo14b
o\$6b2o12b3o35bo\$6bo49b2o\$28bo28b2o\$27bo\$13bobo11b3o\$14b2o17b2o\$14bo19b
o\$32bo6b2o\$32b2o2bo2bobo\$35bobobobo\$36bobobo\$29b2o7bo\$10bo17bo2bo5bobo
\$8bobo17bobo2b2o2bobo\$9b2o18bo4bo3bo\$32bo\$32b5o\$19bo17bo\$17bobo10b7o2b
2ob2o\$18b2o9bo10bob2o\$30b7o3bo\$21b2o14bob2o\$22b2o8b5o\$21bo10bo\$29bo4bo
3bo\$16b2o10bobo2b2o2bobo\$15bobo10bo2bo5bobo\$17bo11b2o7bo21b2o\$36bobobo
19bobo\$35bobobobo18bo\$32b2o2bo2bobo\$32bo6b2o\$14bo19bo\$14b2o17b2o\$13bob
o11b3o30bo\$27bo31b2o\$28bo30bobo2\$20b3o\$bo20bo\$b2o18bo\$obo55b2o\$57b2o\$
59bo\$9b3o\$11bo\$10bo19b2o28b3o\$15b2o14b2o27bo\$14bobo13bo30bo\$16bo3b2o\$
21b2o30bo\$20bo31b2o\$52bobo5\$19b2o\$18bobo\$20bo!``````

Code: Select all

``````x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o\$2o2bobo3bo2bobobobobobobobobobo\$obobo2bo2bob
o2bobo2bo2bobo3bobo\$2bobo3bobobobo2bo5bobo3bobob2o\$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!``````

Kazyan
Posts: 1108
Joined: February 6th, 2014, 11:02 pm

### Re: Small Spaceship Syntheses

Here is a blueprint for a cheaper construction of the central still life:

Code: Select all

``````x = 102, y = 19, rule = B3/S23
2b2o\$b3o\$b2o\$2bo28b2o28b2o28b2o\$32bo29bo29bo\$3o28bo29bo28bo\$31b4o26b4o
25b5o\$3b3o29bo29bo29bo\$7b2ob2o19b4o2b2ob2o16bo2b4o2b2ob2o16b7o2b2ob2o\$
3o5bob2o18bo7bob2o14bobobo7bob2o15bo10bob2o\$8bo22b4o3bo19bo2b4o3bo19b
7o3bo\$3b3ob2o26bob2o26bob2o26bob2o\$31b4o26b4o25b5o\$3o28bo29bo28bo\$32bo
29bo29bo\$2bo28b2o28b2o28b2o\$b2o\$b3o\$2b2o!``````
The "wings" can be added with this known component...

Code: Select all

``````x = 22, y = 17, rule = B3/S23
4bo\$5bo\$3b3o10bobo\$16b2o\$7bo9bo\$7bobo\$7b2o\$11b3o\$11bo\$12bo2\$4b2o14b2o\$
4bo14b2o\$5bo15bo\$4b2o10b2o\$2obo11b2o\$ob2o13bo!``````
...but I'm not actually sure how to fit this component and an insertion of the central blinker together.

EDIT: Proof of concept for a reduction:

Code: Select all

``````x = 109, y = 49, rule = B3/S23
7bobo\$8b2o\$8bo\$2bo\$obo\$b2o19bo\$22bobo\$15bo6b2o64bo\$16b2o68bobo\$15b2o
70b2o\$97bobo\$97b2o\$98bo4\$11bo\$9bobo\$10b2o81b2o3b2o\$93b2o2bobo\$97bo\$98b
4o\$20b3ob2ob2o73bob2ob2o\$25bob2o69b4o3bob2o\$25bo64b2ob2o2bo7bo\$24b2o
64b2ob2o3b4o2b2o\$20b3o79bo\$7b3o88b4o\$9bo87bo\$8bo76b2o6b2o2bobo\$86b2o5b
2o3b2o\$85bo5\$98bo\$97b2o\$97bobo\$15b2o70b2o\$16b2o68bobo\$15bo6b2o64bo\$22b
obo\$b2o19bo\$obo\$2bo\$8bo\$8b2o\$7bobo!``````
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

Kazyan
Posts: 1108
Joined: February 6th, 2014, 11:02 pm

### Re: Small Spaceship Syntheses

An idea for reducing the front-wings formation in the recent c/4o synthesis by replacing the three-beehives cluster:

Code: Select all

``````x = 54, y = 13, rule = LifeHistory
2.2A\$A\$A.2A\$2.2A40.A\$3.A39.2A5.2A\$2.2A5.2C2A30.2A6.A\$2.2A2.C2.C.CA31.
A2C3.A\$5.C.C.C.C2A31.C.C2.2A\$6.C.C.CA3.A30.C.C.A2.A\$8.C4.2A33.C3.2A\$
7.C.C4.A33.C\$7.C.C37.2C\$8.C!``````
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

iNoMed
Posts: 168
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

### Re: Small Spaceship Syntheses

Here's a ten-glider reduction to the 46P4H1V0 synthesis (from 79G to 69G):

Code: Select all

``````x = 935, y = 51, rule = B3/S23
926bo\$5bo918b2o\$6b2o917b2o\$5b2o906bo\$906bo7b2o\$904bobo6b2o\$905b2o\$obo
921bo\$b2o8bobo909bo\$bo9b2o851bo58b3o\$12bo406bobo442bobo\$419b2o12bo81bo
32b2o43bo4bo265b2o\$420bo10b2o83bo30bobo3bo40b2o3b2o260bo70bo\$22bo409b
2o80b3o32bo3bobo37b2o3b2o41bo217bobo41bobo26bobo\$9bobo8b2o396bo134b2o
85bo219b2o42b2o7b2o17b2o\$10b2o9b2o393bobo221b3o261bo8b2o\$10bo406b2o45b
o7bo124b2o\$465b2o3b2o33bo3bo3b3o38bo43bo183bo\$464b2o5b2o31bobobobo2bo
39bobobo2bo37bobo2bo37bo2bo2bo33b2obo2bo38b2ob2o40b2ob2o4b2o36b2ob2o2b
o35b2ob2o2bo44b2ob2o2bo\$14bo490b2ob2o4bo39b2ob4o36b2ob4o32b2o3b7o34bob
4o39bobo42bobo6b2o36bobo3b3o34bobo3b3o43bobo3b3o\$12b2o623b2o43bo11b2o
31bobo42bobo44bobo6bo33bobo6bo42bobo6bo4bobo\$8bo4b2o40b2o53b2o41b2o38b
2o47b2o41b2o42b2o38b2o54b2o39b2ob2o34b2ob2o44b2ob2o38b2ob2o34bo4b2ob2o
35b2ob2o7b2o31b2ob2o40b2ob2o42b2ob2o4b2o32b2ob2o4b2o41b2ob2o4b2o4b2o\$
6b2o46bobo2bo49bobo40bobo37bobo46bobo40bobo41bobo37bobo53bobo40bobo36b
obo46bobo40bobo41bobo37bobo10bo31bobo42bobo8b2o34bobo40bobo49bobo12bo\$
7b2o44bo2bobobo3b2o42bo2bobo37bo2bobo34bo2bobo43bo2bobo37bo2bobo38bo2b
obo34bo2bobo39b2o9bo2bobo37bo2bobo33bo2bobo43bo2bobo37bo2bobo38bo2bobo
34bo2bobo39bo2bobo39bo2bobo6bobo32bo2bobo37bo2bobo36bo9bo2bobo\$53b4ob
2o4bobo41b4ob3o35b4ob3o32b4ob3o41b4ob3o35b4ob3o36b4ob3o32b4ob3o38b2o8b
4ob3o35b4ob3o31b4ob3o41b4ob3o35b4ob3o36b4ob3o32b4ob3o37b4ob3o37b4ob3o
4bo34b4ob3o35b4ob3o35bo8b4ob3o\$64bo32bo18bo42bo39bo48bo42bo43bo39bo36b
o18bo42bo38bo48bo42bo43bo39bo44bo44bo46bo42bo32b3o16bo\$3bo5b2o42b4ob2o
38b2o8b4ob3o35b4ob3o32b4ob3o41b4ob3o35b4ob3o36b4ob3o32b4ob3o48b4ob3o
35b4ob3o31b4ob3o41b4ob3o35b4ob3o36b4ob3o32b4ob3o37b4ob3o4bo32b4ob3o39b
4ob3o35b4ob3o44b4ob3o\$4bo4bobo41bo2bobobo36b2o9bo2bobo37bo2bobo34bo2bo
bo43bo2bobo37bo2bobo38bo2bobo34bo2bobo50bo2bobo37bo2bobo33bo2bobo43bo
2bobo37bo2bobo38bo2bobo34bo2bobo39bo2bobo6bobo30bo2bobo41bo2bobo37bo2b
obo46bo2bobo\$2b3o4bo44bobo2bo49bobo40bobo37bobo46bobo40bobo41bobo37bob
o10bo42bobo40bobo36bobo46bobo40bobo41bobo37bobo42bobo8b2o32bobo44bobo
40bobo40b2o7bobo16bo\$55b2o7bo45b2o39b2ob2o35b2ob2o44b2ob2o38b2ob2o34bo
4b2ob2o35b2ob2o7b2o42b2ob2o38b2ob2o34b2ob2o44b2ob2o38b2ob2o39b2ob2o35b
2ob2o40b2ob2o40b2ob2o4b2o36b2ob2o4b2o32b2ob2o4b2o32bobo6b2ob2o4b2o8b2o
\$63b2o258b2o43bo11b2o42bobo40bobo36bobo46bobo40bobo41bobo37bobo42bobo
42bobo6bo37bobo6bo33bobo6bo34bo7bobo6bo8bobo\$59bo3bobo125b2ob2o4bo39b
2ob4o36b2ob4o32b2o3b7o34bob4o50bobo40bobo36bobo46bobo40bobo41bobo37bob
o42bobo6b2o34bobo3b3o38bobo3b3o34bobo3b3o43bobo3b3o\$59b2o88b2o5b2o32bo
bobobo2bo39bobobo2bo37bobo2bo37bo2bo2bo33b2obo2bo49b2ob2o38b2ob2o34b2o
b2o44b2ob2o38b2ob2o39b2ob2o35b2ob2o40b2ob2o4b2o34b2ob2o2bo39b2ob2o2bo
35b2ob2o2bo44b2ob2o2bo\$58bobo89b2o3b2o34bo3bo3b3o38bo43bo452bo\$10bo91b
2o45bo7bo125b2o\$10b2o9b2o78bobo222b3o532b2o41bo8b2o\$9bobo8b2o81bo135b
2o85bo490b2o42b2o41b2o7b2o17b2o\$22bo94b2o81b3o32bo3bobo37b2o3b2o41bo
488bobo84bobo26bobo\$105bo10b2o84bo30bobo3bo40b2o3b2o531bo113bo\$104b2o
12bo82bo32b2o43bo4bo536b2o\$13b2o89bobo714bobo\$12b2o807bo101b3o\$14bo
908bo\$924bo\$905b2o\$904bobo6b2o\$906bo7b2o\$913bo\$925b2o\$924b2o\$926bo!``````
I knew that the 16G table-conversion used by the 79G synth was a bit overblown...

Edit: One of the conversions shown can actually be done in 3G, bringing the total cost down to 67G:

Code: Select all

``````x = 65, y = 41, rule = B3/S23
51bo\$52bo\$50b3o\$63bo\$61b2o\$53bo8b2o\$54bo\$52b3o5\$56bo\$55bobobo2bo\$56b2o
b4o2\$8b2o46b2ob2o\$7bobo47bobo\$6bo2bobo44bo2bobo\$6b4ob3o42b4ob3o\$14bo
49bo\$6b4ob3o42b4ob3o\$6bo2bobo44bo2bobo\$7bobo47bobo\$6b2ob2o45b2ob2o\$57b
obo\$6b2ob4o44bobo\$5bobobo2bo43b2ob2o\$6bo5\$2b3o\$4bo\$3bo8b2o\$11b2o\$13bo\$
3o\$2bo\$bo!``````
Edit 2: Two days later, and I have finally figured out an even cheaper table-conversion than before (8G per side, was 10G), resulting in a 63G synthesis of 46P4H1V0:

Code: Select all

``````x = 252, y = 26, rule = B3/S23
52bo141bo\$41bo9bo143bo9bo\$42b2o7b3o139b3o7b2o\$41b2o161b2o\$45bo9bo135bo
9bo\$46b2o6bo137bo6b2o\$4bo40b2o7b3o90bo42b3o7b2o\$3bo144bo\$3b3o140b3o2\$b
o148bo\$2bo146bo\$3o146b3o\$5bob2ob2o38b2obob2ob2o33bo2bob2ob2o32bo2bob2o
b2obo35bo2bob2ob2obob2o39bo2bob2ob2obo2bo\$5b2obobobo37b2ob2obobobo32b
5obobobo31b5obobob2o35b5obobob2ob2o39b5obobob5o\$8bobo2bo42bobo2bo37bob
o2bo36bobo44bobo51bobo\$5b4ob4o36b2ob4ob4o31b2ob4ob4o30b7ob4o35b7ob4ob
2o39b7ob4ob2o\$5bo43bobobo38bobobo38bo2bo7bo35bo2bo7bobobo38bo2bo7bobob
o\$3o4b2ob2o38bo4b2ob2o33bo4b2ob2o37b2ob2o4b3o35b2ob2o4bo44b2ob2o4bo\$2b
o5bobo45bobo40bobo39bobo5bo38bobo51bobo\$bo6bobo45bobo40bobo39bobo6bo
37bobo51bobo\$9bo47bo42bo41bo46bo53bo2\$94b3o150b3o\$94bo154bo\$95bo152bo!``````
Edit 3: A spark_search run by Goldtiger has found a 3-glider loop-side table conversion (Obsoleting the 4G collision shown above), which results in a 61G synthesis:

Code: Select all

``````x = 253, y = 30, rule = B3/S23
58bo133bo\$57bo135bo\$57b3o131b3o\$50bo149bo\$51b2o145b2o\$50b2o147b2o5\$4bo
144bo\$3bo146bo\$3b3o142b3o2\$bo150bo\$2bo148bo\$3o42b2o104b3o50b2o\$5bob2ob
2o32bobo5b2obob2ob2o33bo2bob2ob2o32bo2bob2ob2obo35bo2bob2ob2obob2o5bob
o30bo2bob2ob2obo2bo\$5b2obobobo33bo5b2ob2obobobo32b5obobobo31b5obobob2o
35b5obobob2ob2o5bo32b5obobob5o\$8bobo2bo44bobo2bo37bobo2bo36bobo44bobo
50bobo\$5b4ob4o38b2ob4ob4o31b2ob4ob4o30b7ob4o35b7ob4ob2o38b7ob4ob2o\$5bo
45bobobo38bobobo38bo2bo7bo35bo2bo7bobobo37bo2bo7bobobo\$3o4b2ob2o40bo4b
2ob2o33bo4b2ob2o37b2ob2o4b3o35b2ob2o4bo43b2ob2o4bo\$2bo5bobo47bobo40bob
o39bobo5bo38bobo50bobo\$bo6bobo47bobo40bobo39bobo6bo37bobo50bobo\$9bo49b
o42bo41bo46bo52bo2\$96b3o149b3o\$96bo153bo\$97bo151bo!``````

Code: Select all

``````x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o\$2o2bobo3bo2bobobobobobobobobobo\$obobo2bo2bob
o2bobo2bo2bobo3bobo\$2bobo3bobobobo2bo5bobo3bobob2o\$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!``````

Kazyan
Posts: 1108
Joined: February 6th, 2014, 11:02 pm

### Re: Small Spaceship Syntheses

Wi5th the current state of syntheses technology and expertise, 37P4H1V0 is likely possible to construct. Here's a concept for it:

Code: Select all

``````x = 18, y = 24, rule = LifeHistory
3.A\$.A8.3C\$2.3A\$4.A2.4C3\$3.3A.3E\$2.4AE\$.5AE4.2E\$.2A4.E.4E\$.3A4.4E\$4A\$
.3A\$.3A.A5.A\$.6A\$2.3A2.A.3A\$7.A.A6.2A\$8.A5.A2.A\$9.2C3.A\$10.C3.A2.A\$9.
C5.A.A\$11.2C\$8.C.C\$10.C!``````
White regions likely have a spark_search solution to construct them from the top and bottom, respectively. If the region in yellow can be constructed with an activation from the east (under the assumption that the large mass of cells to the left won't be hard to construct from the west direction), this blueprint could become tractible.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

MathAndCode
Posts: 4664
Joined: August 31st, 2020, 5:58 pm

### Re: Small Spaceship Syntheses

Kazyan wrote:
April 27th, 2021, 8:01 pm
Wi5th the current state of syntheses technology and expertise, 37P4H1V0 is likely possible to construct. Here's a concept for it:
Here's the result of a few minutes of work on it:

Code: Select all

``````x = 29, y = 26, rule = B3/S23
2bo15bo\$obo15bobo\$b2o15b2o\$24bo\$23bo\$23b3o5\$9b2obo\$9bob2o\$17b2o\$10b3o5bo7b2o\$10bo2bob3o8bobo\$8bobo2bobo10bo\$8b2o4bo4\$bo\$b2o\$obo\$9b2o\$8b2o\$10bo!``````
The snake destruction will probably have to be replaced with something else, but this is a start.

Edit: This looks like it will be less intrusive on synthesizing the upper regions.

Code: Select all

``````x = 13, y = 7, rule = B3/S23
11bo\$11b2o\$8b2o2bo\$ob2o5bo\$bo2bob3o\$bo2bobo\$5bo!``````

Another edit: While working on that, I found a potential slow component that I was able to mostly complete.

Code: Select all

``````x = 36, y = 30, rule = LifeHistory
17.A\$18.A\$16.3A\$24.A\$12.A11.A.A4.A\$10.A.A11.2A3.2A\$11.2A17.2A10\$18.2A
\$14.2A.A2.A.2A\$14.A.2A2.A.A2.A\$21.A2.2A\$33.3A\$33.A\$34.A4\$19.A\$.2A15.2A
\$A.A15.A.A\$2.A!
[[ PASTEMODE COPY PASTET 31 PASTE D! 15 20 ]]``````
Can it be completed?
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

HartmutHolzwart
Posts: 599
Joined: June 27th, 2009, 10:58 am
Location: Germany

### Re: Small Spaceship Syntheses

An xq80 turned up under syntheses!