Synthesising Oscillators

[iNoMed]

Moving away from period-3 oscillators for a moment, here's a final step for a small period-13 billiard table oscillator:

Code: Select all

x = 29, y = 28, rule = B3/S23
15bo$14bo$14b3o2$21bo$19b2o$20b2o3$4bo7b2o10bo$5b2o4bobo8b2o$4b2o6bo
10b2o3$14bo$13bobo$13bobo$14bo3$11b2o3b2o$b2o8bobobobo8b2o$obo5b2obobo
bobob2o5bobo$2bo5bobo2bobob2obo5bo$11b2obobo$12bobobo$11bo2b2o$11b2o!

Building the base still-life won't exactly be very easy though...

Edit: A tiny bit cheaper:

Code: Select all

x = 33, y = 33, rule = B3/S23
10bo$11bo$9b3o9$13b3o$3bobo9bo11bobo$4b2o8bo12b2o$4bo16bo6bo$20b2o$20b
obo3$16bo$15bobo$15bobo$16bo3$13b2o3b2o$13bobobobo$10b2obobobobob2o$
10bobo2bobob2obo$3o10b2obobo11b3o$2bo11bobobo11bo$bo11bo2b2o13bo$13b2o
!

[Aleph]

One step backwards:

Code: Select all

x = 28, y = 38, rule = B3/S23
7bo$8b2o$7b2o11bo$4bo15bobo$2bobo15b2o$3b2o6$21bo$20bo$20b3o2$3b2o3bo$
3bobobobo$2obobobobo$obo2bobob2o$3b2obobo$4bobobo$3bo2b2o3bo13b2o$3b2o
6b2o12bobo$11b2o12bo$12bo8$bo20b2o$b2o19bobo$obo19bo$18bo$17b2o$17bobo
!

[iNoMed]

If you're gonna do it, do it right:

Code: Select all

x = 59, y = 28, rule = B3/S23
12bo$13bo$11b3o3bo$7bo7b2o$8b2o6b2o$7b2o2$17bo36bo$17bobo33bo$17b2o34b
3o2$3b2o3bo31b2o3b2o$3bobobobo30bobobobo2b2o$2obobobobo27b2obobobobobo
bo5bo$obo2bobob2o26bobo2bobob2o8bobo$3b2obobo31b2obobo10b2o$4bobobo32b
obobo7b2o$3bo2b2o32bo2b2o7b2o$3b2o35b2o12bo$16b2o$16bobo$16bo$6bo$6b2o
$5bobo$16b2o$15b2o$17bo!

[Aleph]

Does anyone know how to make this transformation?

Code: Select all

x = 37, y = 9, rule = B3/S23
18bo$6b2o24b2o$6bobo11bo11bobo$3b2obobo20b2obobo$2bo2bobob2o3bobobobob
o3bobo2bobob2o$bobobobobo16b2obobobobo$bobobobobo10bo8bobobobo$2ob2o3b
o20b2o3bo$18bo!

If so, we can reuse Kazyan's method from the star-based MW volcano synthesis.

Code: Select all

x = 448, y = 52, rule = B3/S23
144bo$142bobo$143b2o6$154bobo$155b2o$155bo2$163bo$161b2o$154bo7b2o$
155bo$153b3o3$178bo$176b2o$142bo34b2o$143bo$141b3o66bo$14b2o195bo$13b
3o193b3o$13b3o$13b2obo277bo75bo70bo$14b3o69bo16bobo189b2o72bo70bo$6bo
8bo71b2o2bo11b2o189b2o73b3o68b3o$4bobo79b2o4b2o10bo199bo6bo$5b2o84b2o
211bobo2b2o$304b2o4b2o$287bo$162bo125b2o$161bobo123b2o$161bo2bo57b3o$
162b2o$85b2o68b2o69b2o68b2o64b2o$6bo69bo7bo2bo58bo7bo2bo58bo9bobo57bo
9bobo19b3o35bo4bo2bo4b2o55bo4b2o6b2o$6bo15b2o52bo7bobo5b2o52bo7bobo5b
2o52bo12bo3bo52bo12bo3bo14bo37bo4bo2bo4bo2b2o52bo4b2o6bo2b2o$4b2ob2o
13bobo49b2ob2o6bo6bobo49b2ob2o6bo6bobo49b2ob2o11bobobo49b2ob2o11bobobo
14bo34b2ob2o3b2o6bobobo49b2ob2o11bobobo$19b2obob3o62b2obob3o62b2obob3o
62b2obob3o62b2obob3o62b2obob3o62b2obob3o$2bobo3bobo7bo2b2o4bo44bobo3bo
bo7bo2b2o4bo44bobo3bobo7bo2b2o4bo44bobo3bobo7bo2b2o4bo44bobo3bobo7bo2b
2o4bo44bobo3bobo7bo2b2o4bo44bobo3bobo7bo2b2o4bo$2bo7bo4b2o2bo4b3o45bo
7bo4b2o2bo4b3o45bo7bo4b2o2bo4b3o45bo7bo4b2o2bo4b3o45bo7bo4b2o2bo4b3o
45bo7bo4b2o2bo4b3o45bo7bo4b2o2bo4b3o$2o9b2obo2b2ob4o46b2o9b2obo2b2ob4o
46b2o9b2obo2b2ob4o46b2o9b2obo2b2ob4o46b2o9b2obo2b2ob4o46b2o9b2obo2b2ob
4o46b2o9b2obo2b2ob4o$2bo7bo4b2o2bo4bo47bo7bo4b2o2bo4bo47bo7bo4b2o2bo4b
o47bo7bo4b2o2bo4bo47bo7bo4b2o2bo4bo47bo7bo4b2o2bo4bo47bo7bo4b2o2bo4bo$
2bobo3bobo7bo2b2obo47bobo3bobo7bo2b2obo47bobo3bobo7bo2b2obo47bobo3bobo
7bo2b2obo47bobo3bobo7bo2b2obo47bobo3bobo7bo2b2obo47bobo3bobo7bo2b2obo$
19b2ob2o65b2ob2o65b2ob2o65b2ob2o65b2ob2o65b2ob2o65b2ob2o$4b2ob2o65b2ob
2o65b2ob2o32b3o30b2ob2o65b2ob2o65b2ob2o65b2ob2o$6bo69bo69bo34bo34bo69b
o69bo69bo$6bo69bo69bo35bo33bo69bo69bo69bo!

Code: Select all

x = 374, y = 49, rule = B3/S23
140bo$138bobo$139b2o6$150bobo$151b2o$151bo2$159bo$157b2o$150bo7b2o$
151bo$149b3o3$174bo$172b2o$138bo34b2o$139bo$137b3o66bo164bo$10b2o195bo
163bobo$9b3o193b3o163b2o$9b3o163bo$9b2obo160b2o115bo$10b3o69bo16bobo
72b2o115b2o$2bo8bo71b2o2bo11b2o189b2o$obo79b2o4b2o10bo199bo6bo$b2o84b
2o211bobo2b2o$300b2o4b2o$283bo$158bo125b2o$157bobo123b2o$157bo2bo57b3o
$158b2o$81b2o68b2o69b2o68b2o64b2o$80bo2bo66bo2bo68bobo67bobo19b3o40bo
2bo4b2o$18b2o60bobo5b2o60bobo5b2o65bo3bo65bo3bo14bo42bo2bo4bo2b2o$18bo
bo60bo6bobo60bo6bobo65bobobo65bobobo14bo42b2o6bobobo$15b2obobo64b2obob
o64b2obobo64b2obobo64b2obobo64b2obobo$14bo2bobob2o61bo2bobob2o61bo2bob
ob2o61bo2bobob2o61bo2bobob2o61bo2bobob2o$13bobobobobo61bobobobobo61bob
obobobo61bobobobobo61bobobobobo61bobobobobo$13bobobobobo61bobobobobo
61bobobobobo61bobobobobo61bobobobobo61bobobobobo$12b2ob2o3bo61b2ob2o3b
o61b2ob2o3bo16bo44b2ob2o3bo61b2ob2o3bo61b2ob2o3bo$176b2o$176bobo!

[mniemiec]

Does anyone know how to make this transformation? ...

Code: Select all

x = 43, y = 28, rule = B3/S23
15bo$13boo$14boo$$4bo$5bo$3b3o4$12boo$4bo7boo4boo18boo$5bo12bobo17bobo
$3b3o9boobobo14boobobo$14bobboboboo9bobobboboboo$13bobobobobo10boobobo
bobo$obo10bobobobobo13bobobobo$boo9booboo3bo14boo3bo$bo4$8boo$bb3obbob
o$4bo4bo$3bo7b3o$11bo$12bo!

[iNoMed]

The missing links, from a synthed xs21:

Code: Select all

x = 155, y = 26, rule = B3/S23
138bo$136bobo$86bo50b2o$87bo$85b3o2$109bobo$109b2o33bo5bo$110bo31bobo
3bobo$143b2o4b2o$2bo5bo145bo$3b2ob2o95bo48b2o$2b2o3b2o93bo50b2o$85b2o
15b3o35b2o4b2o$85bobo51bobo4bobo$b2o45bo38bo10bobo40bo6bo$obo44bobo37b
2o10b2o47b2o$2bo46bo49bo51bo$5b2o41bo38b4o57b3obo$4bo2bo79bo3bo56bo3bo
$4b3o41bo39b3o58b3o$7b3o81b3o58b3o$4b3o2bo78b3o2bo55b3o2bo$3bo3b2o78bo
3b2o55bo3b2o$4b3o81b3o58b3o$6bo83bo60bo!

It would need a version of the siamese-snake that isn't ripped from the overpriced MW volcano synth though to work

Edit: And here's my blueprint for completeness sake.

Code: Select all

x = 589, y = 33, rule = B3/S23
585bo$585bobo$403bo181b2o$401bobo164bo$bo349bo50b2o165b2o$2bo349bo215b
2o$3o46bo41bobo39bo216b3o$48bo43b2o35bo3bobo$48b3o37bo3bo34bobo3b2o
239bobo$45bo40bobo39b2o39bo204b2o33bo5bo142bo$obo40bobo41b2o78bobo205b
o31bobo3bobo60b2o49b2o27bobo24b2o$b2o41b2o85b2o35b2o238b2o4b2o60bo50bo
29b2o24bo$bo47b2ob2o36b2ob2o36bobo52b2o40b2o37bo5bo145bo57bo50bo55bo$
48bobobobo36bobobo36bobo51bobo39bobo37b2ob2o95bo48b2o55b3obob2o43b3obo
b2o34bo13b3obob2o$48bobobo2bo33bobobo2bo33bobobo49bobobo37bobobo36b2o
3b2o93bo50b2o54bo3b2obo43bo3b2obo34bobo11bo3b2obo$49bobob2o34b2obob2o
34b2obob2o34bo3bobo6b2obob2o34bobobob2o117b2o15b3o35b2o4b2o62b3o9bo38b
3o38b2o7b2o4b3o$2b3o46bobo38bobo38bobo33bobo3b2o10bobo36bo2bobo118bobo
51bobo4bobo37bo26b3o4b2o42b3o43bo2bo6b3o$4bo3bo42bobo38bobo38bobo34b2o
4bo10bobo39bobo34b2o45bo38bo10bobo40bo6bo36bobo13bobo6b3o2bo5b2o38b3o
2bo44b2o4b3o2bo$3bo3b2o43bo40bo40bo53bo41bo34bobo44bobo37b2o10b2o47b2o
37bo14b2o5bo3b2o45bo3b2o50bo3b2o$7bobo257bo46bo49bo51bo34bo15bo7b3o47b
4o52b4o$221b2o47b2o41bo38b4o57b3obo59bo50bo42b2o11bo$222b2o45bo2bo79bo
3bo56bo3bo33bo13bo61bo42b2o11bo$221bo47b3o41bo39b3o58b3o46bobo60bo45bo
10b2o$225b2o45b3o81b3o58b3o44b2o60b2o$11b2o212bobo41b3o2bo78b3o2bo55b
3o2bo$10b2o213bo42bo3b2o78bo3b2o55bo3b2o47bo22bo41bo$12bo256b3o81b3o
58b3o49b2o14b3o3b2o32b2o6b2o$271bo83bo60bo48bobo2b3o9bo5bobo30bobo6bob
o35b2o$472bo10bo39bo45b2o$471bo55b3o38bo$529bo55b2o$528bo56bobo$585bo!

Edit 2: I take that back.

Code: Select all

x = 903, y = 62, rule = B3/S23
468bo$466bobo$467b2o6$478bobo$479b2o$479bo2$487bo$485b2o$478bo7b2o$
479bo$477b3o3$502bo$500b2o$466bo34b2o$317bo149bo$318b2o145b3o66bo164bo
$317b2o216bo163bobo34bo$533b3o163b2o33bobo$bo501bo231b2o$2bo498b2o115b
o$3o46bo41bobo39bo276bo16bobo72b2o115b2o$48bo43b2o35bo3bobo188bo86b2o
2bo11b2o189b2o279bo$48b3o37bo3bo34bobo3b2o187bobo85b2o4b2o10bo199bo6bo
263bobo$45bo40bobo39b2o39bo153b2o90b2o211bobo2b2o107bo5bo150b2o$obo40b
obo41b2o78bobo203bo254b2o4b2o104bobo3bobo133bo$b2o41b2o85b2o35b2o156b
2o44bo238bo129b2o4b2o134b2o$bo47b2ob2o36b2ob2o36bobo52b2o40b2o37bo5bo
53b2o43b3o111bo125b2o138bo129b2o$48bobobobo36bobobo36bobo51bobo39bobo
37b2ob2o53bo158bobo123b2o137b2o$48bobobo2bo33bobobo2bo33bobobo49bobobo
37bobobo36b2o3b2o20bo190bo2bo57b3o202b2o$49bobob2o34b2obob2o34b2obob2o
34bo3bobo6b2obob2o34bobobob2o60bobo190b2o250b2o4b2o$2b3o46bobo38bobo
38bobo33bobo3b2o10bobo36bo2bobo63bo113b2o68b2o69b2o68b2o64b2o49bobo4bo
bo125bo$4bo3bo42bobo38bobo38bobo34b2o4bo10bobo39bobo34b2o26bo113bo2bo
66bo2bo68bobo67bobo19b3o40bo2bo4b2o44bo6bo43b2o49b2o27bobo24b2o$3bo3b
2o43bo40bo40bo53bo41bo34bobo64b2o43b2o29bobo5b2o60bobo5b2o65bo3bo65bo
3bo14bo42bo2bo4bo2b2o48b2o42bo50bo29b2o24bo$7bobo257bo26bo37bobo31b2o
9bobo29bo6bobo60bo6bobo65bobobo65bobobo14bo42b2o6bobobo50bo41bo50bo55b
o$221b2o47b2o58bobobo30bobo6b2obobo33b2obobo64b2obobo64b2obobo64b2obob
o64b2obobo47b3obob2o34b3obob2o43b3obob2o34bo13b3obob2o$222b2o45bo2bo
56bobobob2o30bo5bo2bobob2o30bo2bobob2o61bo2bobob2o61bo2bobob2o61bo2bob
ob2o61bo2bobob2o45bo3b2obo34bo3b2obo43bo3b2obo34bobo11bo3b2obo$221bo
47b3o57bobobobo38bobobobo32bobobobo63bobobobo63bobobobo63bobobobo63bob
obobo47b3o39b3o9bo38b3o38b2o7b2o4b3o$225b2o45b3o52bobobobobo36bobobobo
bo30bobobobobo61bobobobobo61bobobobobo61bobobobobo61bobobobobo50b3o39b
3o4b2o42b3o10bobobo28bo2bo6b3o$11b2o212bobo41b3o2bo39b2o9b3ob2o3bo35b
3ob2o3bo29b3ob2o3bo60b3ob2o3bo16bo43b3ob2o3bo60b3ob2o3bo60b3ob2o3bo48b
3o2bo27bobo6b3o2bo5b2o38b3o2bo44b2o4b3o2bo$10b2o213bo42bo3b2o39bobo8bo
44bo38bo69bo25b2o42bo69bo69bo57bo3b2o29b2o5bo3b2o45bo3b2o50bo3b2o$12bo
256b3o43bo8b2o43b2o37b2o68b2o24bobo41b2o68b2o68b2o57b3o31bo7b3o47b4o
52b4o$271bo477bo41bo50bo42b2o11bo$779bo61bo42b2o11bo$777bobo60bo45bo
10b2o$778b2o60b2o2$780bo22bo41bo$780b2o14b3o3b2o32b2o6b2o$779bobo2b3o
9bo5bobo30bobo6bobo35b2o$786bo10bo39bo45b2o$785bo55b3o38bo$843bo55b2o$
842bo56bobo$899bo!

Edit 3: Should be it in 80G:

Code: Select all

x = 922, y = 60, rule = B3/S23
544bo$545b2o$544b2o6$561bobo$562b2o$562bo2$570bo$568b2o$561bo7b2o18bob
o$562bo26b2o$560b3o27bo$bo$2bo$3o46bo41bobo39bo451bo$48bo43b2o35bo3bob
o447b2o$48b3o37bo3bo34bobo3b2o414bo34b2o$45bo40bobo39b2o39bo230bo149bo
204bo$obo40bobo41b2o78bobo231b2o145b3o66bo135bobo$b2o41b2o85b2o35b2o
230b2o216bo135b2o$bo47b2ob2o36b2ob2o36bobo52b2o40b2o37bo5bo35bo306b3o$
48bobobobo36bobobo36bobo51bobo39bobo37b2ob2o34bobo276bo$48bobobo2bo33b
obobo2bo33bobobo49bobobo37bobobo36b2o3b2o34b2o64bobo207b2o115bo216bo$
49bobob2o34b2obob2o34b2obob2o34bo3bobo6b2obob2o34bobobob2o84bobo54b2o
117bo16bobo72b2o115b2o214bobo$2b3o46bobo38bobo38bobo33bobo3b2o10bobo
36bo2bobo78bo6b2o56bo31bo86b2o2bo11b2o189b2o58bo5bo150b2o$4bo3bo42bobo
38bobo38bobo34b2o4bo10bobo39bobo34b2o42bobo5bo86bobo85b2o4b2o10bo199bo
6bo40bobo3bobo133bo$3bo3b2o43bo40bo40bo53bo41bo34bobo42b2o64b2o28b2o
90b2o211bobo2b2o42b2o4b2o134b2o$7bobo257bo108bobo77bo254b2o4b2o52bo
129b2o$221b2o47b2o24bo3b2ob2o59bo3b2ob2o3bo32b2o44bo313b2o$222b2o45bo
2bo22bobobobob2o58bobobobobo38b2o43b3o111bo125bo74b2o$221bo47b3o23bobo
bobo61bobobobo3bo35bo158bobo125bo60b2o4b2o$225b2o45b3o19b2obobobo60b2o
bobobo2b2o194bo2bo57b3o62b3o59bobo4bobo125bo$11b2o212bobo41b3o2bo21bob
obo63bobobo200b2o187bo6bo43b2o49b2o27bobo24b2o$10b2o213bo42bo3b2o22bob
o65bobo125b2o68b2o69b2o68b2o60b2o42bo50bo29b2o24bo$12bo256b3o25b2o66b
2o124bo2bo66bo2bo68bobo67bobo19b3o40bo41bo50bo55bo$271bo46b2o51bo43b2o
43b2o29bobo5b2o60bobo5b2o65bo3bo65bo3bo14bo39b3obob2o34b3obob2o43b3obo
b2o34bo13b3obob2o$317b2o52b2o42bobo31b2o9bobo29bo6bobo60bo6bobo65bobob
o65bobobo14bo38bo3b2obo34bo3b2obo43bo3b2obo34bobo11bo3b2obo$312b2o5bo
50bobo4b3o33bobobo30bobo6b2obobo33b2obobo64b2obobo64b2obobo64b2obobo
54b3o39b3o9bo38b3o38b2o7b2o4b3o$312bobo62bo34bobobob2o30bo5bo2bobob2o
30bo2bobob2o61bo2bobob2o61bo2bobob2o61bo2bobob2o55b3o39b3o4b2o42b3o10b
obobo28bo2bo6b3o$312bo65bo33bobobobo38bobobobo32bobobobo63bobobobo63bo
bobobo63bobobobo53b3o2bo27bobo6b3o2bo5b2o38b3o2bo44b2o4b3o2bo$410bobob
obobo36bobobobobo30bobobobobo61bobobobobo61bobobobobo61bobobobobo52bo
3b2o29b2o5bo3b2o45bo3b2o50bo3b2o$397b2o9b3ob2o3bo35b3ob2o3bo29b3ob2o3b
o60b3ob2o3bo16bo43b3ob2o3bo60b3ob2o3bo54b3o31bo7b3o47b4o52b4o$396bobo
8bo44bo38bo69bo25b2o42bo69bo66bo41bo50bo42b2o11bo$398bo8b2o43b2o37b2o
68b2o24bobo41b2o68b2o95bo61bo42b2o11bo$796bobo60bo45bo10b2o$797b2o60b
2o2$799bo22bo41bo$799b2o14b3o3b2o32b2o6b2o$798bobo2b3o9bo5bobo30bobo6b
obo35b2o$805bo10bo39bo45b2o$804bo55b3o38bo$862bo55b2o$861bo56bobo$918b
o!

Edit 4: Job done. Catagolue-ready 80G synth.

Code: Select all

x = 1068, y = 55, rule = B3/S23
620bo$621b2o$620b2o6$637bobo$638b2o$638bo2$646bo$644b2o$637bo7b2o18bob
o$638bo26b2o$636b3o27bo3$661bo$659b2o$625bo34b2o$466bo159bo204bo232bo$
bo465b2o155b3o85bo116bobo232bobo$2bo463b2o245bo116b2o232b2o$3o46bo41bo
bo39bo577b3o333bo$48bo43b2o35bo3bobo526bo385b2o$48b3o37bo3bo34bobo3b2o
525b2o115bo269b2o$45bo40bobo39b2o39bo176bo222bo16bobo72b2o115b2o$obo
40bobo41b2o78bobo174bobo126bo96b2o2bo11b2o189b2o58bo5bo$b2o41b2o85b2o
35b2o175b2o64bobo57bobo95b2o4b2o10bo199bo6bo40bobo3bobo$bo47b2ob2o36b
2ob2o36bobo52b2o40b2o37bo5bo80bobo54b2o59b2o100b2o211bobo2b2o42b2o4b2o
193bo$48bobobobo36bobobo36bobo51bobo39bobo37b2ob2o74bo6b2o56bo109bo
264b2o4b2o52bo187bobo24b2o$48bobobo2bo33bobobo2bo33bobobo49bobobo37bob
obo36b2o3b2o73bobo5bo119b2o44bo323b2o47b2o49b2o38bo14b2o34b2o24bo$49bo
bob2o34b2obob2o34b2obob2o34bo3bobo6b2obob2o34bobobob2o114b2o64b2o61b2o
43b3o121bo125bo74b2o46bo50bo40bo13bo62bo$2b3o46bobo38bobo38bobo33bobo
3b2o10bobo36bo2bobo181bobo59bo168bobo125bo60b2o4b2o54bo50bo37b3o14bo
44bo13b3obob2o$4bo3bo42bobo38bobo38bobo34b2o4bo10bobo39bobo34b2o65bo3b
2ob2o59bo3b2ob2o3bo230bo2bo76b3o43b3o59bobo4bobo50b3obob2o43b3obob2o
29b3o15b3obob2o40bobo11bo3b2obo$3bo3b2o43bo40bo40bo53bo41bo34bobo64bob
obobob2o58bobobobobo236b2o187bo6bo50bo3b2obo43bo3b2obo31bo15bo3b2obo
40b2o7b2o4b3o$7bobo257bo64bobobobo61bobobobo3bo157b2o68b2o88b2o49b2o
60b2o50b3o9bo38b3o34bo17b3o52bo2bo6b3o$221b2o47b2o59b2obobobo60b2obobo
bo2b2o156bo2bo66bo2bo87bobo48bobo19b3o40bo51b3o4b2o42b3o52b3o50b2o4b3o
2bo$222b2o45bo2bo60bobobo63bobobo75b2o43b2o39bobo5b2o60bobo5b2o84bo3bo
46bo3bo14bo39b3obob2o35bobo6b3o2bo5b2o38b3o2bo49b3o2bo55bo3b2o$221bo
47b3o61bobo65bobo77bobo31b2o9bobo39bo6bobo60bo6bobo84bobobo46bobobo14b
o38bo3b2obo36b2o5bo3b2o45bo3b2o37b3o9bo3b2o56b4o$225b2o45b3o59b2o66b2o
75bobobo30bobo6b2obobo43b2obobo64b2obobo83b2obobo45b2obobo54b3o40bo7b
3o47b4o41bo9b4o48b2o11bo$11b2o212bobo41b3o2bo80b2o51bo69bobobob2o30bo
5bo2bobob2o40bo2bobob2o61bo2bobob2o80bo2bobob2o42bo2bobob2o55b3o47bo
50bo40bo13bo47b2o11bo$10b2o213bo42bo3b2o80b2o52b2o68bobobobo38bobobobo
42bobobobo63bobobobo82bobobobo44bobobobo53b3o2bo35bo61bo54bo50bo10b2o$
12bo256b3o77b2o5bo50bobo4b3o59bobobobobo36bobobobobo40bobobobobo61bobo
bobobo80bobobobobo42bobobobobo52bo3b2o34bobo60bo55b2o$271bo77bobo62bo
48b2o9b3ob2o3bo35b3ob2o3bo39b3ob2o3bo60b3ob2o3bo16bo62b3ob2o3bo41b3ob
2o3bo54b3o37b2o60b2o$349bo65bo46bobo8bo44bo48bo69bo25b2o61bo50bo66bo$
464bo8b2o43b2o47b2o68b2o24bobo60b2o49b2o105bo22bo41bo$884b2o14b3o3b2o
32b2o6b2o97b2o$883bobo2b3o9bo5bobo30bobo6bobo97b2o$890bo10bo39bo105bo$
889bo55b3o116b2o$947bo116bobo$946bo117bo!

[Aleph]

Here's my own solution:

Code: Select all

x = 446, y = 369, rule = B3/S23
32bo$30b2o339bo55bobo$31b2o338bobo54b2o$371b2o55bo$361bo$362b2o$361b2o
$27bobo$17bo9b2o$18bo9bo$16b3o$93bo69bo69bo69bo69bo69bo$92bobo67bobo
67bobo67bobo67bobo64b2obobo$92bobo67bobo67bobo67bobo64bo2bobo63bobobob
o$90bobob2o63b2obob2o63b2obob2o63b2obob2o62bobobob2o62bobobob2o$89bobo
bo2bo62bobobo2bo62bobobo48b2o10bo4bobobo65bobobo65bobobo$89bobobobo65b
obobo65bobo47bobo9b2o6bobo67bobo67bobo$90b2ob2o65b2ob2o65bobo50bo9bobo
5b2o68b2o53b2o13b2o$230b2o195b2o$426bo$15bo427bo$15b2o65b2o196b2o161bo
bo$14bobo64bobo70b2o123bobo148b2o11b2o$83bo69bobo68b2o55bo147bobo$92b
3o60bo3bo63bobo9b2o194bo$92bo66b2o64bo9bobo$14b3o76bo64bobo74bo203bo$
16bo421b2o$15bo422bobo29$12b2o$11b3o$11b2obo$12b3o$13bo7$30bo$29bo$8bo
20b3o$9bo12bo$7b3o12bobo40bo$22b2o39bobo$64b2o78bo9bo$142bobo9bobo133b
o$143b2o9b2o127bo4bobo$6bo277bo4b2o$7bo274b3o$5b3o2$23bo64b2o3bo64b2o
3bo64b2o3bo64b2o3bo61b2ob2o3bo$19b2obobo63bobobobo63bobobobo47bo15bobo
bobo63bobobobo61bobobobobo$18bobobobo51b2o8bobobobobo61bobobobobo48bo
12bobobobobo61bobobobobo61bobobobobo$17bo2bobob2o49bo2bo6bobo2bobob2o
50b3o6bobo2bobob2o45b3o11bobo2bobob2o59bobo2bobob2o61bo2bobob2o$18b2ob
obo52bobo6bo2b2obobo54bo6bo2b2obobo61bo2b2obobo61bo2b2obobo64b2obobo$
21bobo53bo6b2o5bobo53bo6b2o5bobo59bobo5bobo52bo6bobo5bobo67bobo$b2o18b
2o68b2o68b2o60b2o6b2o53b2o4bobo6b2o58bo9b2o$obo282bobo5bo66bobo$2bo
357bobo$361bo2$215bo$215b2o69b2o$214bobo68bobo$9b2o276bo66b2o$8bobo15b
2o198b3o124bobo$10bo15bobo197bo128bo$13b2o11bo200bo$14b2o$13bo49$179bo
bo$179b2o$15b2ob2o3bo61b2ob2o3bo61b2ob2o3bo16bo44b2ob2o3bo61b2ob2o3bo
61b2ob2o3bo$16bobobobobo61bobobobobo61bobobobobo61bobobobobo61bobobobo
bo61bobobobobo$10bo5bobobobobo61bobobobobo61bobobobobo61bobobobobo61bo
bobobobo61bobobobobo$8bobo6bo2bobob2o61bo2bobob2o61bo2bobob2o61bo2bobo
b2o61bo2bobob2o61bo2bobob2o$9b2o7b2obobo64b2obobo64b2obobo64b2obobo64b
2obobo64b2obobo$21bobo60bo6bobo60bo6bobo65bobobo65bobobo14bo42b2o6bobo
bo$21b2o60bobo5b2o60bobo5b2o65bo3bo65bo3bo14bo42bo2bo4bo2b2o$83bo2bo
66bo2bo68bobo67bobo19b3o40bo2bo4b2o$84b2o68b2o69b2o68b2o64b2o$161b2o$
160bo2bo57b3o$160bobo123b2o$161bo125b2o$17b3o266bo$17bo285b2o4b2o$18bo
71b2o211bobo2b2o$85b2o4b2o10bo199bo6bo$86b2o2bo11b2o189b2o$85bo16bobo
72b2o115b2o$176b2o115bo$178bo$208b3o163b2o$210bo163bobo$140b3o66bo164b
o$142bo$141bo34b2o$175b2o$177bo3$152b3o27bo$154bo26b2o$153bo7b2o18bobo
$160b2o$162bo2$154bo$154b2o$153bobo6$142b2o$141bobo$143bo11$88bo$87bo$
73bo13b3o$74bo4bo$72b3o2bobo$78b2o8$15b2ob2o3bo61b2ob2o3bo$16bobobobob
o61bobobobobo$12bo3bobobobobo46bo14bobobobobo$10bobo4bo2bobob2o45b2o
14bo2bobob2o$11b2o5b2obobo46bobo15b2obobo$21bobo67bobo$21b2o62b2o4b2o$
73b3o9b2o$75bo$74bo2$8b2o$7bobo$9bo$73b3o$75bo$74bo2$90b2o$89b2o$91bo
35$92bo$93b2o$92b2o11bo$89bo15bobo$87bobo15b2o$88b2o3$176bo$175bo$175b
3o$106bo$105bo$105b3o2$18b2o3bo64b2o3bo64b2o3b2o4b3o56b2o3b2o$18bobobo
bo63bobobobo63bobobobo63bobobobo$15b2obobobobo60b2obobobobo60b2obobobo
bobo8b2o48b2obobobobobo$15bobo2bobob2o59bobo2bobob2o59bobo2bobob2obo6b
o2bo47bobo2bobob2obo$18b2obobo64b2obobo64b2obobo3bo6bobo51b2obobo3bo$
19bobobo65bobobo65bobobo3b2o6bo53bobobo3b2o$18bo2b2o65bo2b2o3bo13b2o
46bo2b2o65bo2b2o$18b2o68b2o6b2o12bobo45b2o68b2o$30bo5bo59b2o12bo58bo
69bo$28b2o5bo61bo70bobo67bobo$29b2o4b3o130bobo67bobo$169bo69bo4$243b3o
$243bo$32b2o52bo20b2o135bo$32bobo51b2o19bobo$32bo52bobo19bo$103bo$102b
2o$102bobo23$85bo$86bo$84b3o2$21bo$19bobo$20b2o2$28bo$28bobo$16bo11b2o
$14bobo71b3o$15b2o61bobo9bo11bobo$79b2o8bo12b2o$79bo16bo6bo$95b2o$95bo
bo3$91bo$90bobo$90bobo$91bo3$18b2o3b2o63b2o3b2o$18bobobobo63bobobobo$
15b2obobobobobo58b2obobobobobo$15bobo2bobob2obo57bobo2bobob2obo$18b2ob
obo3bo47b3o10b2obobo3bo7b3o$19bobobo3b2o48bo11bobobo3b2o6bo$18bo2b2o
53bo11bo2b2o13bo$18b2o68b2o!

Edit: -14:

Code: Select all

x = 39, y = 31, rule = B3/S23
19b2o$18b3o$18b2obo$19b3o$20bo7$37bo$36bo$15bo20b3o$16bo12bo$14b3o12bo
bo$29b2o$2bo$obo$b2o2$5bo$6b2o$5b2o$30bo$26b2obobo$25bobobobo$24bo2bob
ob2o$16b2o7b2obobo$16bobo9bobo$16bo11b2o!

Edit 2: As iNoMed pointed out, the siamese snake is missing when the hat is converted to a hook. Oops.
Edit 3: Fixed:

Code: Select all

x = 446, y = 299, rule = B3/S23
32bo$30b2o339bo55bobo$31b2o338bobo54b2o$371b2o55bo$361bo$362b2o$361b2o
$27bobo$17bo9b2o$18bo9bo$16b3o$93bo69bo69bo69bo69bo69bo$92bobo67bobo
67bobo67bobo67bobo64b2obobo$92bobo67bobo67bobo67bobo64bo2bobo63bobobob
o$90bobob2o63b2obob2o63b2obob2o63b2obob2o62bobobob2o62bobobob2o$89bobo
bo2bo62bobobo2bo62bobobo48b2o10bo4bobobo65bobobo65bobobo$89bobobobo65b
obobo65bobo47bobo9b2o6bobo67bobo67bobo$90b2ob2o65b2ob2o65bobo50bo9bobo
5b2o68b2o53b2o13b2o$230b2o195b2o$426bo$15bo427bo$15b2o65b2o196b2o161bo
bo$14bobo64bobo70b2o123bobo148b2o11b2o$83bo69bobo68b2o55bo147bobo$92b
3o60bo3bo63bobo9b2o194bo$92bo66b2o64bo9bobo$14b3o76bo64bobo74bo203bo$
16bo421b2o$15bo422bobo29$82b2o$81b3o$81b2obo$82b3o$83bo7$100bo$99bo$
78bo20b3o$79bo12bo$77b3o12bobo$92b2o5$7bo$8bo$o5b3o$b2o20bo59b2o8bo$2o
17b2obobo58bobo3b2obobo$18bobobobo59bo3bobobobo$17bo2bobob2o61bo2bobob
2o$18b2obobo64b2obobo$21bobo67bobo$21b2o68b2o2$5b3o$7bo$6bo2$90b2o$89b
2o$91bo$71b3o$73bo$72bo42$349bo$350b2o$349b2o7$179bobo$179b2o$13b2o3b
2o3bo59b2o3b2o3bo59b2o3b2o3bo16bo42b2o3b2o3bo48bo10b2o3b2o3bo59b2o3b2o
3bo$13bobo2bobobobo58bobo2bobobobo58bobo2bobobobo58bobo2bobobobo48bo9b
obo2bobobobo58bobo2bobobobo$10bo5bobobobobo61bobobobobo61bobobobobo61b
obobobobo46b3o12bobobobobo61bobobobobo$8bobo6bo2bobob2o61bo2bobob2o61b
o2bobob2o61bo2bobob2o61bo2bobob2o61bo2bobob2o$9b2o7b2obobo64b2obobo64b
2obobo64b2obobo64b2obobo64b2obobo$21bobo60bo6bobo60bo6bobo65bobobo65bo
bobo14bo50bobobo$21b2o60bobo5b2o60bobo5b2o65bo3bo65bo3bo14bo34b2o14bo
2b2o$83bo2bo66bo2bo68bobo67bobo19b3o33b2o13b2o$84b2o68b2o69b2o68b2o55b
o$161b2o$160bo2bo57b3o$160bobo123b2o67b2o$161bo125b2o67b2o$17b3o266bo
68bo$17bo285b2o4b2o$18bo71b2o211bobo2b2o56b3o$85b2o4b2o10bo199bo6bo55b
o$86b2o2bo11b2o189b2o72bo$85bo16bobo72b2o115b2o$176b2o115bo64b3o$178bo
181bo$208b3o148bo$210bo$140b3o66bo$142bo$141bo34b2o$175b2o$177bo3$152b
3o27bo$154bo26b2o$153bo7b2o18bobo$160b2o$162bo2$154bo$154b2o$153bobo6$
142b2o$141bobo$143bo9$92bo$93b2o$92b2o11bo$89bo15bobo$87bobo15b2o$88b
2o3$176bo$175bo$175b3o$106bo$105bo$105b3o2$18b2o3bo64b2o3bo64b2o3b2o4b
3o56b2o3b2o$18bobobobo63bobobobo63bobobobo63bobobobo$15b2obobobobo60b
2obobobobo60b2obobobobobo8b2o48b2obobobobobo$15bobo2bobob2o59bobo2bobo
b2o59bobo2bobob2obo6bo2bo47bobo2bobob2obo$18b2obobo64b2obobo64b2obobo
3bo6bobo51b2obobo3bo$19bobobo65bobobo65bobobo3b2o6bo53bobobo3b2o$18bo
2b2o65bo2b2o3bo13b2o46bo2b2o65bo2b2o$18b2o68b2o6b2o12bobo45b2o68b2o$
30bo5bo59b2o12bo58bo69bo$28b2o5bo61bo70bobo67bobo$29b2o4b3o130bobo67bo
bo$169bo69bo4$243b3o$243bo$32b2o52bo20b2o135bo$32bobo51b2o19bobo$32bo
52bobo19bo$103bo$102b2o$102bobo23$85bo$86bo$84b3o2$21bo$19bobo$20b2o2$
28bo$28bobo$16bo11b2o$14bobo71b3o$15b2o61bobo9bo11bobo$79b2o8bo12b2o$
79bo16bo6bo$95b2o$95bobo3$91bo$90bobo$90bobo$91bo3$18b2o3b2o63b2o3b2o$
18bobobobo63bobobobo$15b2obobobobobo58b2obobobobobo$15bobo2bobob2obo
57bobo2bobob2obo$18b2obobo3bo47b3o10b2obobo3bo7b3o$19bobobo3b2o48bo11b
obobo3b2o6bo$18bo2b2o53bo11bo2b2o13bo$18b2o68b2o!

Edit 4: iNoMed's method gives us 78G, as opposed to the 77G synthesis in Catagolue:

Code: Select all

x = 446, y = 299, rule = B3/S23
32bo$30b2o339bo55bobo$31b2o338bobo54b2o$371b2o55bo$361bo$362b2o$361b2o
$27bobo$17bo9b2o$18bo9bo$16b3o$93bo69bo69bo69bo69bo69bo$92bobo67bobo
67bobo67bobo67bobo64b2obobo$92bobo67bobo67bobo67bobo64bo2bobo63bobobob
o$90bobob2o63b2obob2o63b2obob2o63b2obob2o62bobobob2o62bobobob2o$89bobo
bo2bo62bobobo2bo62bobobo48b2o10bo4bobobo65bobobo65bobobo$89bobobobo65b
obobo65bobo47bobo9b2o6bobo67bobo67bobo$90b2ob2o65b2ob2o65bobo50bo9bobo
5b2o68b2o53b2o13b2o$230b2o195b2o$426bo$15bo427bo$15b2o65b2o196b2o161bo
bo$14bobo64bobo70b2o123bobo148b2o11b2o$83bo69bobo68b2o55bo147bobo$92b
3o60bo3bo63bobo9b2o194bo$92bo66b2o64bo9bobo$14b3o76bo64bobo74bo203bo$
16bo421b2o$15bo422bobo29$82b2o$81b3o$81b2obo$82b3o$83bo7$100bo$99bo$
78bo20b3o$79bo12bo$77b3o12bobo$92b2o5$7bo$8bo$o5b3o$b2o20bo59b2o8bo$2o
17b2obobo58bobo3b2obobo$18bobobobo59bo3bobobobo$17bo2bobob2o61bo2bobob
2o$18b2obobo64b2obobo$21bobo67bobo$21b2o68b2o2$5b3o$7bo$6bo2$90b2o$89b
2o$91bo$71b3o$73bo$72bo42$349bo$350b2o$349b2o7$179bobo$179b2o$13b2o3b
2o3bo59b2o3b2o3bo59b2o3b2o3bo16bo42b2o3b2o3bo48bo10b2o3b2o3bo59b2o3b2o
3bo$13bobo2bobobobo58bobo2bobobobo58bobo2bobobobo58bobo2bobobobo48bo9b
obo2bobobobo58bobo2bobobobo$10bo5bobobobobo61bobobobobo61bobobobobo61b
obobobobo46b3o12bobobobobo61bobobobobo$8bobo6bo2bobob2o61bo2bobob2o61b
o2bobob2o61bo2bobob2o61bo2bobob2o61bo2bobob2o$9b2o7b2obobo64b2obobo64b
2obobo64b2obobo64b2obobo64b2obobo$21bobo60bo6bobo60bo6bobo65bobobo65bo
bobo14bo50bobobo$21b2o60bobo5b2o60bobo5b2o65bo3bo65bo3bo14bo34b2o14bo
2b2o$83bo2bo66bo2bo68bobo67bobo19b3o33b2o13b2o$84b2o68b2o69b2o68b2o55b
o$161b2o$160bo2bo57b3o$160bobo123b2o67b2o$161bo125b2o67b2o$17b3o266bo
68bo$17bo285b2o4b2o$18bo71b2o211bobo2b2o56b3o$85b2o4b2o10bo199bo6bo55b
o$86b2o2bo11b2o189b2o72bo$85bo16bobo72b2o115b2o$176b2o115bo64b3o$178bo
181bo$208b3o148bo$210bo$140b3o66bo$142bo$141bo34b2o$175b2o$177bo3$152b
3o27bo$154bo26b2o$153bo7b2o18bobo$160b2o$162bo2$154bo$154b2o$153bobo6$
142b2o$141bobo$143bo10$24bo$25bo$23b3o9bo$19bo13b2o$20b2o12b2o$19b2o2$
35bo69bo$35bobo66bo$35b2o67b3o4$107bo$18b2o3bo64b2o3b2o12bobo$18bobobo
bo63bobobobo2b2o8b2o$15b2obobobobo60b2obobobobobobo$15bobo2bobob2o59bo
bo2bobob2o$18b2obobo64b2obobo$19bobobo65bobobo$18bo2b2o65bo2b2o$18b2o
68b2o$104b2o$103b2o$105bo$34b2o$34bobo$34bo$18bo$18b2o$17bobo$34b2o$
33b2o$35bo26$85bo$86bo$84b3o2$21bo$19bobo$20b2o2$28bo$28bobo$16bo11b2o
$14bobo71b3o$15b2o61bobo9bo11bobo$79b2o8bo12b2o$79bo16bo6bo$95b2o$95bo
bo3$91bo$90bobo$90bobo$91bo3$18b2o3b2o63b2o3b2o$18bobobobo63bobobobo$
15b2obobobobob2o57b2obobobobob2o$15bobo2bobob2obo57bobo2bobob2obo$18b
2obobo51b3o10b2obobo11b3o$19bobobo53bo11bobobo11bo$18bo2b2o53bo11bo2b
2o13bo$18b2o68b2o!

[Extrementhusiast]

A third independent solution:

Code: Select all

x = 602, y = 54, rule = B3/S23
582bobo$447bo135b2o$448bo134bo$446b3o$472bo47bo$472bobo43bobo66bo$472b
2o45b2o66b2o$586bobo$521bo$521bobo65b2o$515bo5b2o66bobo$513bobo62bo10b
o6bo$67bo299bo146b2o60bobo17bobo$68b2o297bobo207b2o17b2o$67b2o43bobo
252b2o$61bobo48b2o197bo$62b2o49bo198bo104bo169bo$62bo55bo191b3o102b2o
169bobo$34bo73bo3b3o2bo21bo179bo96b2o168bobo$13bo19bo72b2o4bo4b3o20bo
177bo45bo222bo$11bobo19b3o34b2o35b2o4bo24b3o177b3o41b2o53bo$12b2o56bob
o28bobo255bo3b2o51b2o$70bo30b2o44b2o34b2o37b2o39b2o45b2o35b2o3b2o6b2o
45b2o3bo3bobo30b2o3b2ob2o55b2o3b2o63b2o3b2o$55bobo44bo6b2o32b2o2bobo
33bobo36bobo38bobo44bobo8bo25bobobo2bo4b2o46bobobobo35bobobobobo56bobo
bobo53bo9bobobobo9bo$23bo32b2o7b2o41bobo26bo5bobobobo30b2obobo33b2obob
o35b2obobo41b2obobo9bo21b2obobobobobo16bo31b2obobobobo32b2obobobobobo
53b2obobobobob2o50b2o5b2obobobobob2o5b2o$23bobo30bo7bobo29bo10bo2bobo
22bobo8bo2bobo28bobo2bobo6bo24bobo2bobo33bobo2bobo39bobo2bobo5b3o21bob
o2bobob2o16b2o31bobo2bobob2o31bobo2bobob2o54bobo2bobob2obo49bobo5bobo
2bobob2obo5bobo$15bo7b2o38bo2bobo27b2o10b2ob2o23b2o9b2ob2o31b2ob2o6bob
o25b2obobo35b2obobo41b2obobo8bo22b2obobo18bobo33b2obobo36b2obobo59b2ob
obo64b2obobo$16bo39b3o5b2ob2o26bobo11bo29b2o7bo35bo9b2o27bo2bo28bo8bob
obo42bobobo8bobo21bobobo55bobobo37bobobo60bobobo65bobobo$14b3o41bo6bo
41bobo30b2o4bobo33bobo6b2o28bobo29bobo6bobob2o4bo37bo2b2o9b2o21bo2b2o
55bo2b2o37bo2b2o60bo2b2o65bo2b2o$51b2o4bo5bobo41b2o30bo6b2o34b2o6b2o
29b2o31b2o6b2o7bo38b2o35b2o58b2o40b2o63b2o68b2o$b3o48b2o9b2o127bo37bo
40b3o$3bo47bo134b2o41b2o$2bo2b3o177bobo41bobo92bo$5bo181bo72b2o5b2o54b
2o$6bo219b3o30b2o6bobo53bobo$228bo27b2o3bo5bo6b2o$bo225bo27bobo16bobo$
b2o254bo16bo$obo$16b2o$17b2o$16bo442b3o3b2o$461bo2b2o$460bo5bo2$460b2o
$460bobo$460bo4$449b2o$448bobo$450bo!

[iNoMed]

Reduced by two more gliders by optimising the final step a little more:

Code: Select all

x = 654, y = 53, rule = B3/S23
476bo$477bo$475b3o$501bo142bo6bo$501bobo125bo13bo7bobo$501b2o127b2o11b
3o5b2o$629b2o$637bo$638bo$636b3o2$385bo$385bobo$83bobo299b2o154bo48bo$
83b2o231bo223bo50bo$84bo232bo117bo104b3o46b3o$34bo54bo225b3o115b2o147b
2o52b2o7b2o$13bo19bo45bo3b3o2bo36bo198bo109b2o145bo2bo50bo2bo5bo2bo$
11bobo19b3o41b2o4bo4b3o35bo196bo58bo151b2o45bobo12b2o37bobo7bobo$12b2o
64b2o4bo39b3o196b3o54b2o53bo97bobo46bo13bobo37bo9bo$72bobo302bo3b2o51b
2o99bo60bo$72b2o59b2o36b2o45b2o48b2o45b2o48b2o3b2o6b2o45b2o3bo3bobo41b
2o3b2ob2o53b2o3b2o36b2o3b2o47b2o3b2o$23bo49bo6b2o47b2o2bobo35bobo44bob
o47bobo44bobo8bo38bobobo2bo4b2o46bobobobo46bobobobobo54bobobobo36bobob
obo47bobobobo$23bobo53bobo41bo5bobobobo32b2obobo41b2obobo44b2obobo41b
2obobo9bo34b2obobobobobo16bo31b2obobobobo43b2obobobobobo51b2obobobobob
2o30b2obobobobob2o41b2obobobobob2o$15bo7b2o42bo10bo2bobo37bobo8bo2bobo
30bobo2bobo6bo32bobo2bobo42bobo2bobo39bobo2bobo5b3o34bobo2bobob2o16b2o
31bobo2bobob2o42bobo2bobob2o52bobo2bobob2obo30bobo2bobob2obo41bobo2bob
ob2obo$16bo50b2o10b2ob2o38b2o9b2ob2o33b2ob2o6bobo33b2obobo44b2obobo41b
2obobo8bo35b2obobo18bobo33b2obobo47b2obobo57b2obobo37b2obobo48b2obobo$
14b3o49bobo11bo44b2o7bo37bo9b2o35bo2bo37bo8bobobo42bobobo8bobo34bobobo
55bobobo48bobobo58bobobo38bobobo49bobobo$78bobo45b2o4bobo35bobo6b2o36b
obo38bobo6bobob2o4bo37bo2b2o9b2o34bo2b2o55bo2b2o48bo2b2o58bo2b2o38bo2b
2o49bo2b2o$b3o74b2o45bo6b2o36b2o6b2o37b2o40b2o6b2o7bo38b2o48b2o58b2o
51b2o61b2o41b2o52b2o$3bo176bo45bo49b3o$2bo2b3o166b2o49b2o$5bo167bobo
49bobo101bo$6bo168bo89b2o5b2o54b2o$222b3o39b2o6bobo53bobo$bo222bo36b2o
3bo5bo6b2o$b2o220bo36bobo16bobo$obo259bo16bo$16b2o$17b2o$16bo$488b3o3b
2o$490bo2b2o$489bo5bo2$489b2o$489bobo$489bo4$478b2o$477bobo$479bo!

[Aleph]

Another stillater final step:

Code: Select all

x = 65, y = 51, rule = B3/S23
64bo$62b2o$63b2o7$16bo$17bo$15b3o5$48bo$47bo$obo34bo9b3o$b2o34bobo$bo
35b2o3$17b2o$18b3o3b2o$16bo4bobobo$15bob2ob2obo$15bo2bobo2bo3bo$16bo3b
o2bob3o$17b3o4bo14b3o$15bobo7b3o11bo$15b2o11bo3b2o6bo$27b2o2bobo$31bo$
30b2o8$2bo6bo$2b2o5b2o21bo$bobo4bobo20b2o7b3o$31bobo6bo$41bo$10b2o$9bo
bo21bo$11bo20b2o$32bobo!

[iNoMed]

Here's a 45-glider synthesis (Down from 53G) of the 35-bit period-13 billiard table from before, using a more-creative choice for the base still-life:

Code: Select all

x = 607, y = 53, rule = B3/S23
429bo$430bo$428b3o$454bo142bo6bo$454bobo125bo13bo7bobo$454b2o127b2o11b
3o5b2o$582b2o$25bo564bo$26bo564bo$24b3o562b3o2$338bo$338bobo$179bobo
156b2o154bo48bo$179b2o88bo223bo50bo$180bo89bo117bo104b3o46b3o$77bo107b
o82b3o115b2o147b2o52b2o7b2o$78b2o95bo3b3o2bo36bo55bo109b2o145bo2bo50bo
2bo5bo2bo$77b2o3bobo88b2o4bo4b3o35bo53bo58bo151b2o45bobo12b2o37bobo7bo
bo$41bo40b2o43bo46b2o4bo39b3o53b3o54b2o53bo97bobo46bo13bobo37bo9bo$41b
obo39bo43bobo38bobo159bo3b2o51b2o99bo60bo$41b2o84b2o39b2o59b2o37b2o48b
2o3b2o6b2o45b2o3bo3bobo41b2o3b2ob2o53b2o3b2o36b2o3b2o47b2o3b2o$76bo8bo
34b2o47bo6b2o47b2o2bobo36bobo8bo38bobobo2bo4b2o46bobobobo46bobobobobo
54bobobobo36bobobobo47bobobobo$26bo48bobo6bo34bobo53bobo41bo5bobobobo
33b2obobo9bo34b2obobobobobo16bo31b2obobobobo43b2obobobobobo51b2obobobo
bob2o30b2obobobobob2o41b2obobobobob2o$24bobo47bo2bo6b3o31bo2bob2o4b3o
31bo10bo2bobo37bobo8bo2bobo31bobo2bobo5b3o34bobo2bobob2o16b2o31bobo2bo
bob2o42bobo2bobob2o52bobo2bobob2obo30bobo2bobob2obo41bobo2bobob2obo$
25b2o4bo43b2ob2o39b2obobo4bo33b2o10b2obobo37b2o9b2obobo33b2obobo8bo35b
2obobo18bobo33b2obobo47b2obobo57b2obobo37b2obobo48b2obobo$29b2o45bobob
o39bobo7bo31bobo11bobobo40b2o7bobobo34bobobo8bobo34bobobo55bobobo48bob
obo58bobobo38bobobo49bobobo$30b2o43bo2bobo38bo2b2o51bo2b2o42b2o5bo2b2o
34bo2b2o9b2o34bo2b2o55bo2b2o48bo2b2o58bo2b2o38bo2b2o49bo2b2o$75b2o2bo
39b2o54b2o44bo7b2o37b2o48b2o58b2o51b2o61b2o41b2o52b2o2$85b2o$85bobo
194bo$bo83bo195b2o$b2o278bobo$obo6$441b3o3b2o$443bo2b2o$442bo5bo2$442b
2o$442bobo$442bo4$431b2o$430bobo$432bo!

[apg]

Here's a 45-glider synthesis (Down from 53G) of the 35-bit period-13 billiard table from before, using a more-creative choice for the base still-life:

44 by kicking back the wasted glider from the first stage such that it is used in a later stage. (I've always wanted to do that in a synthesis!)

Code: Select all

x = 624, y = 107, rule = B3/S23
116bobo$116b2o$117bo$122bo$112bo8bo$110b2o9b3o$111b2o$105bobo$105b2o$
106bo13$446bo$447bo$445b3o$471bo142bo6bo$471bobo125bo13bo7bobo$471b2o
127b2o11b3o5b2o$39bo559b2o$40b2o565bo$39b2o53bobo511bo$94b2o510b3o$95b
o$355bo$97bo257bobo$96bo258b2o154bo48bo$96b3o187bo223bo50bo$287bo117bo
104b3o46b3o$285b3o115b2o147b2o52b2o7b2o$238bo55bo109b2o145bo2bo50bo2bo
5bo2bo$2bo236bo53bo58bo151b2o45bobo12b2o37bobo7bobo$obo234b3o53b3o54b
2o53bo97bobo46bo13bobo37bo9bo$b2o344bo3b2o51b2o99bo60bo$183bo62b2o37b
2o48b2o3b2o6b2o45b2o3bo3bobo41b2o3b2ob2o53b2o3b2o36b2o3b2o47b2o3b2o$
63bo119bobo56b2o2bobo36bobo8bo38bobobo2bo4b2o46bobobobo46bobobobobo54b
obobobo36bobobobo47bobobobo$64bo110b2o6b2o51bo5bobobobo33b2obobo9bo34b
2obobobobobo16bo31b2obobobobo43b2obobobobobo51b2obobobobob2o30b2obobob
obob2o41b2obobobobob2o$62b3o106b2o2bobo56bobo8bo2bobo31bobo2bobo5b3o
34bobo2bobob2o16b2o31bobo2bobob2o42bobo2bobob2o52bobo2bobob2obo30bobo
2bobob2obo41bobo2bobob2obo$171bobobobo57b2o9b2obobo33b2obobo8bo35b2obo
bo18bobo33b2obobo47b2obobo57b2obobo37b2obobo48b2obobo$174bo2bob2o4b3o
50b2o7bobobo34bobobo8bobo34bobobo55bobobo48bobobo58bobobo38bobobo49bob
obo$175b2obobo4bo53b2o5bo2b2o34bo2b2o9b2o34bo2b2o55bo2b2o48bo2b2o58bo
2b2o38bo2b2o49bo2b2o$176bobo7bo51bo7b2o37b2o48b2o58b2o51b2o61b2o41b2o
52b2o$175bo2b2o$175b2o$299bo$298b2o$298bobo$79bo$79bobo$79b2o2$64bo$
62bobo$63b2o4bo388b3o3b2o$67b2o391bo2b2o$68b2o389bo5bo2$459b2o$459bobo
$459bo4$448b2o$447bobo$449bo18$97b2o$97bobo$97bo10$116b3o$116bo$117bo!

[mniemiec]

44 by kicking back the wasted glider from the first stage such that it is used in a later stage. (I've always wanted to do that in a synthesis!) ...

Nice! I've seen this trick used several times to create cleanup gliders, but I can't say that I've ever seen it used with gliders that were material parts of a synthesis.

[MathAndCode]

Nice! I've seen this trick used several times to create cleanup gliders, but I can't say that I've ever seen it used with gliders that were material parts of a synthesis.

There are probably more opportunities like that one, and if Catagolue adds a feature to show which other objects a given object is used as an intermediate in synthesizing, finding those opportunities would be easier.

[Aleph]

Just for fun:

Code: Select all

x = 725, y = 539, rule = B3/S23
33bobo271bo$33b2o272bobo$34bo272b2o$98b2o68b2o68b2o$97bobo67bobo67bobo
$98bo69bo69bo4bo$242bo$23b2o217b3o56b2o$22bobo276b2o$24bo$235bo$233bob
o60b2o$157b2o68b2o5b2o60bo$156bo2bo66bo2bo68bo$157b2o68b2o68b4o$162b2o
68b2o67bo$162b2o68b2o61b4obo$295bo2b2o4$81b2o$82b2o151b3o$81bo2$90b3o
64b2o10bo$90bo67b2o8b2o$91bo65bo10bobo$250b2o$250bobo$250bo2$76bo$76b
2o$75bobo10$268b2o$268bobo$268bo31$90bo$91b2o$90b2o2$102bo$100b2o124bo
bo11bobo$91bo9b2o124b2o11b2o$92b2o133bo13bo$24bo8bobo55b2o$22bobo8b2o$
23b2o9bo71bobo$106b2o$107bo142b2o$249b4o$16b2o68b2o68b2o6bo61b2o6bo13b
2ob2o43b2o$16bo69bo7bo61bo6bobo60bo6bobo13b2o45bo$18bo69bo4bobo62bo4bo
bo62bo4bobo62bo3b2o$17b4o66b4o3bobo60b4o3bob2o59b4o3bob2o59b4o2bo$21bo
7bo61bo3bobo63bo3bo2bo62bo3bo2bo5bo56b2o$15b4obo7b2o55b4obo5bo8bo49b4o
bo5b2o57b4obo5b2o4b2o51b4obo$15bo2b2o8bobo54bo2b2o14b2o5bo43bo2b2o65bo
2b2o13b2o50bo2bobo$104bobo3b2o187bo$110bobo$235b2o56b2o$235b2o55bo2bo$
292bobo$293bo$168b3o$168bo$169bo51b2o11b3o9b2o$159b3o60b2o10bo10b2o$
161bo59bo13bo11bo38b3o$160bo127bo$227b2o58bo$228b2o$227bo12bo$239b2o$
239bobo36$645bo$645bobo$2bo642b2o$3b2o3bo621bo$2b2o2bobo622bo$7b2o620b
3o4$81b2o68b2o68b2o68b2o333bo$16b2o64bo3b2o64bo3b2o64bo3b2o64bo3b2o63b
2o68b2o68b2o68b2o54bo13b2o$16bo64bo4bo57bo6bo4bo64bo4bo64bo4bo65bo3b2o
64bo3b2o64bo3b2o64bo3b2o47b3o14bo3b2o68b2o$18bo3b2o57b2o5bo3b2o51bo5b
2o5bo3b2o57b2o5bo3b2o57b2o5bo3b2o57bo4bo64bo4bo64bo4bo64bo4bo64bo4bo
69bo$6bo10b4o2bo63b4o2bo49b3o11b4o2bo63b4o2bo63b4o2bo57b2o5bo3b2o57b2o
5bo3b2o57b2o5bo3b2o57b2o5bo3b2o57b2o5bo3b2o64bo3b2o$6b2o13b2o68b2o68b
2o68b2o68b2o64b4o2bo63b4o2bo63b4o2bo63b4o2bo63b4o2bo63b4o2bo$5bobo7b4o
bo64b4obo61b2ob4obo61b2ob4obo61b2ob4obo70b2o68b2o68b2o68b2o68b2o68b2o$
15bo2bobo64bo2bobo60bobobo2bobo61b2obo2bobo61b2obo2bobo61b2ob4obo61b2o
b4obo61b2ob4obo61b2ob4obo61b2ob4obo8bobo55b2obo$19bo69bo62bo6bo69bo69b
o62b2obo2bobo61b2obo2bobo53bo7b2obo2bobo61b2obo2bobo61b2obo2bobo8b2o
54bo2bobo$5b2o362bo69bo55bo13bo69bo69bo10bo54b2o2bo$4bobo71b2o407bo5b
3o67bo66bo$6bo72b2o284bo69bo52b2o15bo55bobo6b2o3bo54b2o8b2o3bo$78bo67b
2o216bobo67bobo50b2o15bobo55b2o6bobobobo52bobo8bobobobo$145bobo217bo
11bo57bobo67bobo63bo3bobo42b3o14bo3bo3bobo$147bo227b2o59bobo67bobo67bo
bo43bo13bobo7bobo70b2o$376b2o59bo11bo57bobo67bobo41bo14bo2bo7bobo13b3o
53b2o$293b2o152b2o59bobo67bobo46b2o8b2o9bobo12bo53b2o$292bo2bo152b2o
59bo69bo46bobo20bo14bo52b2o$292bo2bo332bo$293b2o197b3o$226b2o266bo227b
2o$215b2o9bobo75b2o187bo76b3o86b3o60bobo$216b2o8bo76b2o265bo57b3o28bo
62bo$215bo89bo265bo58bo29bo$374b2o253bo$374bobo$374bo71b2o192b2o12b2o$
380b2o64bobo192b2o11bobo$379b2o65bo193bo13bo$381bo70b2o$451b2o195b2o$
453bo194bobo$648bo35$143bo$144b2o$143b2o2$2bo73bo$obo13b2o59b2o7b2o68b
2o$b2o13bo59b2o8bo69bo$6bo11bo3b2o64bo3b2o64bo3b2o$7b2o8b4o2bo63b4o2bo
63b4o2bo$6b2o13b2o68b2o68b2o$17b2obo66b2obo66b2obo$15bo2bobo65bobobo
63bobobobo$15b2o2bo63bobo3bo64b2o3bo$73b2o8b2o62bobo$72bobo73b2o$74bo
73bo3$6b2o$7b2o66b3o$6bo70bo$76bo2$148b3o$150bo$149bo2$145b3o$147bo$
146bo46$16b2o68b2o$16bo69bo$18bo3b2o64bo3b2o$17b4o2bo63b4o2bo$21b2o47b
obo18b2o7bo$17b2obo50b2o3bobo8b2obo8bo$16bobobo50bo5b2o7bobobo8b3o$16b
o2bo57bo8bo2bo$15b2o68b2o2$90b2o$89bo2bo$89bo2bo$90b2o$23b2o50bo$12b2o
9bobo49b2o$13b2o8bo50bobo3b3o$12bo69bo$81bo43$82bobo$83b2o$83bo$4bobo$
5b2o67bo$5bo69bo$73b3o3$16b2o68b2o$16bo69bo$18bo3b2o64bo3b2o$17b4o2bo
63b4o2bo$3b2o16b2o63bo4b2o$2bobo12b2obo56bo7bob2obo$4bo11bobobo56b2o6b
o2bobo$16bo2bo56bobo7bo2bo$6bo10b2o68b2o$6b2o$5bobo5$6b2o$7b2o$6bo3$6b
3o$8bo$7bo2$14b2o$13b2o$15bo26$75bo$76b2o33bo$75b2o32b2o$110b2o17$17b
2o3b2o63b2o3b2o$18b3o2bo64b3o2bo$16bo4b2o63bo4b2o$15bob2obo64bob2obo$
15bo2bobo64bo2bobo$16bo2bo66bo2bo$17b2o68b2o3$94b2o$93bo2bo$94b2o2$28b
2o$28bobo$28bo72b3o$19b2o80bo$18bobo81bo$20bo89b2o$110bobo$110bo8$108b
3o$108bo$109bo21$462bo$460b2o$461b2o4$435bobo$436b2o$436bo23bo$460bobo
$460b2o3$160bo$161bo297bo$159b3o9bo251bo34bo$171bobo250bo33b3o$171b2o
70bo145bo32b3o$242bo144b2o$17b2o68b2o68b2o68b2o13b3o52b2o15bo52b2o19b
2o47b2o$18b3o67b3o67b3o67b3o67b3o12bo54b3o3b2o62b3o3b2o$16bo4bo64bo4bo
64bo4bo64bo4bob2o61bo4bob2o8b3o50bo4bobobo10bo49bo4bobobo$15bob2ob2o
63bob2ob2o63bob2ob2o63bob2ob2obobo59bob2ob2obo61bob2ob2obo10b2o49bob2o
b2obo$15bo2bobo64bo2bobo64bo2bobo64bo2bobo3bo60bo2bobo2bo61bo2bobo2bo
11b2o48bo2bobo2bo$5bobo8bo3bo65bo3bo65bo3bo65bo3bo65bo3bo2b2o61bo3bo2b
obo60bo3bo2bob2o$6b2o9b3o67b3o67b3o67b3o67b3o67b3o4b2o61b3o4bo2bo$6bo
161b3o274b2o$17b3o59bo7b3o67b3o8bo58b3o16b2o49b3o67b3o67b3o$16bo2bo60b
2o4bo2bo66bo2bo9bo56bo2bo16bobo47bo2bo66bo2bo66bo2bo$17b2o60b2o5b2o67b
obo67bobo12b2o4bo48bobo67bobo67bobo$156bo69bo12b2o55bo17b3o4bo44bo69bo
$241bo72bo5b2o$315bo4bobo61bo$383b2o$383bobo$16bo78b2o$4b2o9b2o68bo8b
2o354b3o$5b2o8bobo67b2o9bo353bo7b2o$4bo79bobo353b2o9bo5b2o$77b3o359bob
o17bo$79bo344bo16bo$78bo345b2o$86b3o334bobo$86bo$87bo!

(Stillater synthesis)
EDIT: Another stillater final step:

Code: Select all

x = 55, y = 49, rule = B3/S23
41bo$41bobo8bo$41b2o9bobo$52b2o4$6bo$7bo$5b3o3$40b2o$3bobo21b2o12bo$4b
2o20bo2bo8b3o$4bo21b3o4b2o3bo$24b2o7bobo$23bo3b2o5b2o$6bo17b2obo$7b2o
16bobobo$6b2o9b2o4bo4b2o4bo$17bo5b2o8bobo$19bo4bo9bo13bo$18b2o3bo4b2o
17b2o$22bo5bobo16bobo$21bo7bo$20bo$19bo17b2o$19b2o16b2o$46b2o$46bobo$
46bo3$3o23b2o$2bo22bobo$bo25bo2$18b3o$10b2o8bo$11b2o6bo$10bo2$25b2o$
25bobo$25bo$9b2o$8bobo$10bo!

[MathAndCode]

Here is a five-glider stillater activation.

Code: Select all

x = 28, y = 22, rule = B3/S23
6bobo$6b2o$7bo$12b2o3b2o8bo$bo10bobobo2bo5b2o$2bo11bob2o2bo5b2o$3o11b
o3b2o$15b3o$17bo4$5bo$5b2o$4bobo5$22b2o$22bobo$22bo!

The starting still-life only requires thirteen gliders, so the total cost is eighteen gliders.

[iNoMed]

This should help reduce the T-nosed P6 by fourteen gliders (Assuming a 4G pre-pulsar), if completed:

Code: Select all

x = 60, y = 35, rule = B3/S23
47bo$48b2o$47b2o5$58b2o$57b2o$59bo$48bo2b2o$48bob2o$51b2o2$5bo8bo32bo
7bo$6bo6bobo30bobo5bobo$4b3o6b2o32b2o5b2o2$7bo5b2o32b2o5b2o$7b2o4bobo
30bobo5bobo$bo4bobo5bo32bo7bo$b2o$obo47b2o$51b2obo$50b2o2bo$43bo$44b2o
$43b2o5$54b2o$53b2o$55bo!

Edit: Got it.

Code: Select all

x = 77, y = 49, rule = B3/S23
59bo$60bo$54bo3b3o$52bobo$53b2o14bobo$69b2o$70bo$57bo$58bo$56b3o3$68bo
$68bobo$68b2o5$74b2o$74bobo$5bo8bo43bo7bo7bo$6bo6bobo41bobo5bobo$4b3o
6b2o43b2o5b2o2$7bo5b2o43b2o5b2o$7b2o4bobo41bobo5bobo$bo4bobo5bo35bo7bo
7bo$b2o45bobo$obo46b2o5$55b2o$54bobo$56bo3$66b3o$66bo$67bo$54bo$54b2o$
53bobo14b2o$70bobo$64b3o3bo$64bo$65bo!

Edit 2: Here it is in 16 gliders, using a modified activation involving the use of a non-clean 3G pre-pulsar:

Code: Select all

x = 75, y = 47, rule = B3/S23
51bo$52b2o$51b2o3$69bobo$55bo13b2o$56bo13bo$54b3o3$66bo$66bobo$66b2o6$
47bo$5bo8bo32b2o7bo7bo$6bo6bobo30bobo6bobo5bobo$4b3o6b2o41b2o5b2o2$7bo
5b2o41b2o5b2o$7b2o4bobo39bobo5bobo6bobo$bo4bobo5bo41bo7bo7b2o$b2o70bo$
obo5$53b2o$52bobo$54bo3$64b3o$50bo13bo$50b2o13bo$49bobo3$68b2o$67b2o$
69bo!

[praosylen]

Here is a five-glider stillater activation.

Code: Select all

x = 28, y = 22, rule = B3/S23
6bobo$6b2o$7bo$12b2o3b2o8bo$bo10bobobo2bo5b2o$2bo11bob2o2bo5b2o$3o11b
o3b2o$15b3o$17bo4$5bo$5b2o$4bobo5$22b2o$22bobo$22bo!

The starting still-life only requires thirteen gliders, so the total cost is eighteen gliders.

Please remember to give attribution for these — this step was jointly made by me, wwei, and BlinkerSpawn on Discord. BlinkerSpawn also gave this 10G synthesis for the base still life based on a predecessor I identified (making the oscillator 15G):

Code: Select all

x = 51, y = 49, rule = B3/S23
36bo$37bo$35b3o2$49bo$48bo$48b3o5$35bo$35bobo$35b2o$29bo$27bobo9bo$28b
2o8bo$38b3o6b3o$47bo$48bo4$41bo$27bo12b2o$28bo11bobo$26b3o6$29b3o$31bo
$30bo12$3o$2bo$bo!

And another predecessor that might end up being 8~9G (which I'm too lazy to try to assemble):

Code: Select all

x = 16, y = 20, rule = B3/S23
2bo$o2bo$2obo$2o2b2o$6bo$3b2o$3b3o4$13bo$12bobo$12bo2bo$12b4o4$4b2o$3b
obo$5bo!

[MathAndCode]

Someone (probably Kazyan, but I'm not completely sure) uploaded a nineteen-glider synthesis of 28P7.1 to Catagolue recently. I improved it.

Code: Select all

x = 498, y = 40, rule = B3/S23
495bo$495bobo$495b2o2$296bo$297bo$295b3o$200bo$3bo195bo$4b2o193b3o$3b
2o379bo$76bo65bo64bo105bo71bo28bo77bo$74b3o55bo7b3o50bo11b3o103b3o69b
3o26b3o75b3o$73bo59bo5bo51bobo10bo105bo100bo77bo$73b2o56b3o5b2o51b2o10b
2o104b2o99b2o76b2o$403bo77bo$64bobo16bo223bo94bobo75bobo$b2o62b2o16bo
bo115bo105b3o92bobo3b3o69bobo3b3o$obo62bo17b2o54bo60bobobo105bo92bo7b
o69bo7bo$2bo136b3o59b2ob3o100b2ob3o95b2ob3o72b2ob3o$142bo64bo98bobo4b
o92b2obo4bo69b2obo4bo$139b3o59b2ob3o99bobob3o93b2obob3o70b2obob3o$139b
o61b2obo102b2obo98bobo75bobo$68b2o10b2o327b2o76b2o$67bobo9b2o$69bo11b
o212b2o$131b3o159bobo$133bo161bo$132bo2$140b3o$140bo161b2o4bo$141bo159b
obo3b2o93b2o$303bo3bobo92b2o4$310b2o$309b2o$311bo!

[hotdogPi]

These are all on the "my discoveries" page (except the p128; I typically wait about a day before putting them on the page in case they get improved), skipping the ones with unwieldy sparkers and those that have already been synthesized. Do any of these look easily synthesizable?

Code: Select all

x = 295, y = 269, rule = B3/S23
14b2o22b2o$14b2o22b2o$66b2o3b2o$56b2o8b2o3b2o8b2o47bo$15bo22bo17bo2b3o
15b3o2bo23b2o21bobo13bo30b6o$15bobo18bobo18b2o21b2o24b2o35b3o29bo6bo8b
3o$15b2o2bo14bo2b2o23bo3bo5bo3bo38b2o25bo31bo8bo$17b2o16b2o25bo2bobo3b
obo2bo34b3o2bo12b3o10b2o31bo6bo7bo3bo$18bo5bo4bo5bo21b2o5bo3bobo3bo5b
2o32b2o13b3o44b6o8bo3bo$23b2o4b2o25bo2b3o3bobo3bobo3b3o2bo18b2o2b3o2bo
19bo$18b2o2bobo4bobo2b2o20b2o8bo5bo8b2o18b2o7bo80b3o$18b2o2b2o6b2o2b2o
69bobo6b2o23b3o$106bo4b3o2bo13bo7bo3bo11bo25bo$18b2o2b2o6b2o2b2o79b2o
12b3o7bo2bo10bobo17b3o3bobo9b3o$18b2o2bobo4bobo2b2o59b2o32b3o8b2o36bo
3bo$23b2o4b2o25b2o8bo5bo8b2o12bo2b3o4bo66bo3bo2bobo4bo3bo3bo$18bo5bo4b
o5bo20bo2b3o3bobo3bobo3b3o2bo13b2o6bobo36b2o8b3o16bo3bo3bo4bobo2bo3bo$
17b2o16b2o20b2o5bo3bobo3bo5b2o19bo7b2o18bobo10bo2bo7b3o28bo3bo$15b2o2b
o14bo2b2o23bo2bobo3bobo2bo24bo2b3o2b2o19bo11bo3bo7bo18b3o9bobo3b3o$15b
obo18bobo23bo3bo5bo3bo19b2o45b3o40bo$15bo22bo18b2o21b2o13bo2b3o$56bo2b
3o15b3o2bo12b2o57bo18b3o$56b2o8b2o3b2o8b2o21b2o47b3o$14b2o22b2o26b2o3b
2o31b2o35b2o10b3o16bo3bo8b6o$14b2o22b2o102bo29bo3bo7bo6bo$139b3o41bo8b
o$139bo13bobo17b3o8bo6bo$154bo30b6o9$20bobo2bobo$16b2obo2bo2bo2bob2o
36bobo2bobo107b2o10b2o$20bobo2bobo36b2obo2bo2bo2bob2o27b2o50b3o2b2o16b
o2bo8bo2bo$68bobo2bobo31b2o36bo16bo2bo16b3o2b6o2b3o$145b3o10bo3b3o20b
2o6b2o$148bo8bo26bo10bo$13bo21bo111b2o6bo5b4o19b2obo4bob2o$13bo5b2ob2o
11bo25bo41b2o2b3o45bo8bo24b2o$12bobo5b3o11bobo24bo5b2ob2o31b2o9b3o32b
3o3bo3bo2b2o$13bo7bo13bo24bobo5b3o36bobo4b3o31bo2bo4b2obobo$13bo21bo
25bo7bo38bo5b3o31b2obo5bobobo9b2ob2o11bo7b2ob2o$13bo21bo25bo55b3o35bob
ob2o10bo15b2o10bo$13bo13bo7bo25bo33b3o19b3o35b2o15b2o2bo9bo2bo4bo2b2o$
12bobo11b3o5bobo24bo33b3o19b3o53b3o6b2o3bobo5b3o$13bo11b2ob2o5bo24bobo
8b2o22b3o41b2o32b3o5bobo3b2o6b3o$13bo21bo25bo9bo26b3o5bo28b2obobo31b2o
2bo4bo2bo9bo2b2o$61bo10b3o23b3o4bobo26bobobo5bob2o23bo10b2o15bo$74bo
23b3o9b2o22bobob2o4bo2bo23b2ob2o7bo11b2ob2o$105b3o2b2o20b2o2bo3bo3b3o$
21bobo2bobo102bo8bo$17b2obo2bo2bo2bob2o98b4o5bo6b2o31b2o$21bobo2bobo
109bo8bo27b2obo4bob2o$106b2o23b3o3bo10b3o24bo10bo$106b2o22bo2bo16bo25b
2o6b2o$130b2o2b3o36b3o2b6o2b3o$173bo2bo8bo2bo$174b2o10b2o6$148b2o4b2o$
148bobo2bobo$150bo2bo$66b2o81bo4bo$66bobo9b2o5b2o62b2o2b2o$21b2o44bo
10b2o5b2o64b2o$2b2o5b2o9bobo170bo16b2o$2b2o5b2o10bo57bo5bo36b3o17bo50b
3o14bobo$70bo8b2o3b2o36b3o17bo53bo10b2obobo$3bo5bo58b2o9bobobobo36b3o
16bobo51b2o10bobobo$3b2o3b2o8bo52b2o8bobo35b3o20bo46b2o18bo$3bobobobo
9b2o49bo10bobo35b3o20bo7bo39bo16bo2bo$5bobo8b2o53bo4b2obobobobob2o30b
3o20bo5b2ob2o37bobo5bo11bo$5bobo10bo37b2o3b2o6b4o4bo3bobo3bo11b3o40bo
7bo40b2o4bo8bo3bo$2obobobobob2o4bo36bo3bobo3bo4b4o6b2o3b2o13b3o39bobo
52bo2bo6bo3bo$bo3bobo3bo4b4o6b2o3b2o20b2obobobobob2o4bo28b3o40bo18bo
35b3o10bo$3b2o3b2o6b4o4bo3bobo3bo23bobo10bo30b3o37bo18bo45bo2bo$18bo4b
2obobobobob2o22bobo8b2o31b3o55bobo46bo$17bo10bobo25bobobobo9b2o6b2o20b
3o12b3o33bo7bo45bobobo$18b2o8bobo25b2o3b2o8bo8bo30bobo3bobo31b2ob2o5bo
12b2o31b2obobo$15b2o9bobobobo23bo5bo15bobo30bobo3bobo33bo7bo11bobo34bo
bo$17bo8b2o3b2o45b2o31b3o12b3o32bo11bobob2o31b2o$26bo5bo22b2o5b2o6bo3b
o51b3o31bobo11bobobo$55b2o5b2o4b2o5bo50b3o32bo14bo$14bo10b2o5b2o35b2o
4b2o52b3o29bo13bo2bo$13bobo9b2o5b2o40b2o53b3o43bo10b3o$13b2o57bo2bo2bo
50b3o19b2o22bo3bo6bo2bo$64bo7b2obobobob2o26b3o37b2o2b2o20bo3bo8bo4b2o$
63bo11bobob2obo26b3o37bo4bo20bo11bo5bobo$63b3o9b2o32b3o38bo2bo21bo2bo
16bo$106b3o39bobo2bobo20bo18b2o$61b2o43b3o39b2o4b2o18bobobo10b2o$62bo
43b3o64bobob2o10bo$59b3o111bobo14b3o$59bo114b2o16bo9$23b2o8b2o$25bo7b
2o$22bo$23bob2o$25b2o4$188b2o$26b2o152bo6bobo3b2o$26b2obo150b2o4bo2bo
3b2o$30bo153bo3bo$18b2o7bo37bo11bo106bobo$18b2o8b2o35b3o7b3o$5b2o61bo
5bo42bo6bo59bobo$5b2o60b2o5b2o40b2o6b2o58bo3bo$115b3o6b3o53b2o4bo2bo3b
2o$23bo92b2o6b2o54bo6bobo3b2o$4b2o56b2o44bo8bo6bo63b2o$2b2o14b2o3b3o5b
2o30bo21bo22b3o63b2o$2bo5bo6b2o6bobo5b2o30bobo18bobo24bo62b2o$8b2o4b2o
bo5b3o38b2o17bo3bo22bobo$2bo2bob3o4b3obo2bo50b3o8bo3bo23bo4b3o$6bob2o
4b2o14b2o40bo10bo3bo28bo$7b2o6bo5bo6b2o14b2o26b3o8bo3bo29bo$4b2o14b2o
6bo5bo6b2o40bo3bo24b2o$18b2o14b2o4b2obo39bo3bo24b2o36b2o5b2o$28bo2bob
3o4b3obo2bo36bobo45b2o16b2o5b2o$24b3o5bob2o4b2o20bo22bo46b2o$17b2o5bob
o6b2o6bo5bo13bobo44bo10b3o11bo47bo$17b2o5b3o3b2o14b2o12bo3bo42bo3b3o5b
obo2b3o4b5obo42b3o$44b2o14bo3bo43bob5o4b3o2bobo5b3o3bo10b3o5b3o20bo2bo
$26bo33bo3bo8b3o36bo11b3o10bo11bo2bo3bo2bo22b2o$60bo3bo10bo36b2o36bo7b
o41b2o$43b2o15bo3bo8b3o36b2o37bobobobo42b2o$43b2o15bo3bo17b2o48b2o$20b
2o8b2o29bobo18bobo47b2o18b2ob2o$22bo7b2o30bo21bo43bo43b2o$19bo64b2o43b
o41bobo$20bob2o103b3o4bo16bo5bo12b2o17b2o12b2o5b2o$22b2o109bobo14b2o5b
2o12b2o17b2o12bo5bo$72b2o5b2o53bo53bobo$73bo5bo55b3o50b2o$70b3o7b3o38b
o6bo8bo67b2ob2o$70bo11bo37b2o6b2o$23b2o94b3o6b3o29b2o42bobobobo$23b2ob
o93b2o6b2o30b2o41bo7bo$27bo93bo6bo49b2o22bo2bo3bo2bo$15b2o7bo153bo2bo
20b3o5b3o$15b2o8b2o152b3o$180bo2$203b2o5b2o$203b2o5b2o6$186b2o$186b2o$
172b2o$167b2o3bobo6bo$167b2o3bo2bo4b2o$173bo3bo$175bobo2$175bobo$173bo
3bo$167b2o3bo2bo4b2o$167b2o3bobo6bo$172b2o10$25b2o$25bo2bo2$176b2obo2b
ob2o$3b2o5b2o13bob2o9b2o5b2o122b2o4bo2bo4bo2bo4b2o$3b2o5b2o8b2o2bobo7b
o3b2o5b2o122b2o5bobo4bobo5b2o$20bo4bo6b3o142bo6bo$24bo6bo57b2o7b2o$2b
3o5b3o8bo2bo6b2o4b3o5b3o41bo2b2ob2o2bo$2bobo5bobo24bobo5bobo42b2obobob
2o$2bo2bo3bo2bo24bo2bo3bo2bo43bo5bo$3b2o5b2o26b2o5b2o44bo5bo$4b2o3b2o
28b2o3b2o46b5o80bo6bo$93b3o73b2o5bobo4bobo5b2o$93bobo73b2o4bo2bo4bo2bo
4b2o$93b3o80b2obo2bob2o$19b3o6b3o62b3o$3b2o5b2o7bobo6bobo7b2o5b2o47bo$
3b2o5b2o7b3o6b3o7b2o5b2o$103bo154b2o5b2o$103b2ob2o150b2o5b2o$81bo22bob
obo$81bo21b2ob2o31b2o7b2o$3b2o5b2o7b3o6b3o7b2o5b2o34bo23b2o32b2o7b2o
84bo3b2o45b2o3bo$3b2o5b2o7bobo6bobo7b2o5b2o57b3obo123b2obo53bob2o$19b
3o6b3o69b3o4bob2o121b3o55b3o$231bo6bo47bo6bo$165b2o63bo2bobobobo30bo
14bobobobo2bo$87b3o49bo9bo14bo2bo63b3obob2o25bo4b2o15b2obob3o$4b2o3b2o
28b2o3b2o41bobo48bobo7bobo14bo2bo17bo76b2o4b3o$3b2o5b2o26b2o5b2o32bobo
5bobo48bo2bo5bo2bo14bo2bo15b2obo43b3obob2o23bo2bo20b2obob3o$2bo2bo3bo
2bo24bo2bo3bo2bo31bobo57b2o7b2o16b3o14bo3bo42bo2bobobobo22bobo20bobobo
bo2bo$2bobo5bobo24bobo5bobo31b3o56bo11bo32bo2bo44bo6bo24b2o4b3o14bo6bo
$2b3o5b3o8bo2bo6b2o4b3o5b3o135b3o46b3o34b2o19b3o$24bo6bo168b2o7b2o21b
2obo7b2o25bo9b2o7bob2o$20bo4bo6b3o23b2obo4b3o69bo11bo49b2o7b2o23bo3b2o
3b2o35b2o3b2o3bo$3b2o5b2o8b2o2bobo7bo3b2o5b2o13bob3o74b2o7b2o$3b2o5b2o
13bob2o9b2o5b2o15b2o23bo50bo2bo5bo2bo$61b2ob2o21bo50bobo7bobo$60bobobo
22bo51bo9bo$25bo2bo32b2ob2o134bo9bo$25b2o38bo133bobo7bobo$199bo2bo5bo
2bo$74bo125b2o7b2o23bo3b2o3b2o35b2o3b2o3bo$73b3o63b2o7b2o49bo11bo20b2o
bo7b2o9bo25b2o7bob2o$73b3o63b2o7b2o82b3o19b2o34b3o$73bobo88b3o64bo6bo
14b3o4b2o24bo6bo$73b3o87bo2bo32bo11bo18bo2bobobobo20bobo22bobobobo2bo$
72b5o85bo3bo14b3o16b2o7b2o20b3obob2o20bo2bo23b2obob3o$71bo5bo84bob2o
15bo2bo14bo2bo5bo2bo41b3o4b2o$71bo5bo85bo17bo2bo14bobo7bobo19b3obob2o
15b2o4bo25b2obob3o$70b2obobob2o103bo2bo14bo9bo19bo2bobobobo14bo30bobob
obo2bo$69bo2b2ob2o2bo103b2o46bo6bo47bo6bo$69b2o7b2o152b3o55b3o$232b2ob
o53bob2o$234bo3b2o45b2o3bo$200b2o7b2o$200b2o7b2o$258b2o5b2o$258b2o5b2o
5$164b2obo2bob2o$157b2o4bo2bo4bo2bo4b2o$157b2o5bobo4bobo5b2o$165bo6bo
6$165bo6bo$157b2o5bobo4bobo5b2o$157b2o4bo2bo4bo2bo4b2o$164b2obo2bob2o!

[mniemiec]

These are all on the "my discoveries" page (except the p128; I typically wait about a day before putting them on the page in case they get improved), skipping the ones with unwieldy sparkers and those that have already been synthesized. Do any of these look easily synthesizable? ...

The ones involving still-lifes/caterers/pentadecathlons/fumaroles/figure-8s surrounding traffic lights/honeyfarms/Pis should probably be fairly easy. Ones involving multiple exotic oscillators would probably be trickier.

[MathAndCode]

I improved the synthesis of xp110_c4oy1178cwggg2y2oo4kozx160kgy235433y28111w62sgzy412ac (pseudo-barberpole on Jason's p22) by two gliders.

Code: Select all

x = 585, y = 42, rule = B3/S23
545bo$546b2o$545b2o2$554bo$552bobo$553b2o$263bo$261bobo$bo260b2o$2bo172b
o$3o98bo71bobo$15bobo83bobo70b2o308b2o87b2o$15b2o84b2o159bobo116b2o101b
obo86bo$16bo75bo170b2o2bobo4bo106bobo84bo105b2o$90bobo170bo3b2o5bobo105b
2o85b2o14b2obo87bo$91b2o175bo5b2o107b3o75b2o5b2o80b2o25b2o$385bo76bo25b
obo60bo$385b3o74bobo86bobo3b2o19bobo$260b2o125bo75b2o25bobo59b2o3b2o21b
o$260bo126b3o191bo$261b3o12bo112bo102bobo87bo$188b2o73bo10b2o113b3o92b
2o6bo2bo72b2o3b2o7bobo$11bo85b2o89b2o76b2o7b2o104b2o7bobo91bobo7b2o72b
2o3bobo7b2o$11b2o85bo167b2o113bobo7b2o93bo88bo$10bobo76b2o7bobo75b2o205b
o102b2o87b2o$25b3o61bobo7b2o76b2o11b2o84b2o105b2o$25bo65bo84bo14bo76b
2o5b2o4b3o66bo$26bo64b2o89b2o7bobo75bo7bo3bo68b2o$182bobo7b2o66b2o7bo
bo10bo66bobo$184bo75bobo7b2o98b3o$184b2o76bo107bo108b2o$262b2o107bo106b
2o$480bo2$572b2o$572bobo$457b2o113bo$456bobo$458bo121b2o$579b2o$581bo!

[Aleph]

Final step for some random unnamed P3:

Code: Select all

x = 57, y = 66, rule = B3/S23
18bo$19bo$17b3o3$11bo43bo$9bobo42bo$10b2o35bobo4b3o$47b2o$48bo4$43bo$
32b2o9bobo$32b2o9b2o2$32b2o$31bobo$31bo$28b2obo$24b2o2bobo$23bobo$22bo
bo$18b2o2bo$18bobob2o$21bo2bo$22b2o3b2ob2o7bo$13bo4b2o7b2ob2o7bobo9b3o
$12bobo3b2o19b2o10bo$12bo2bo6bo29bo$13bobo5bobo$14bo5bo2bo$21b2o$17b2o
$16bo2bo$17bo2bo$18b2o4$43b2o$43bobo$43bo$3o33bo$2bo32b2o$bo33bobo2$5b
o$5b2o24bo$4bobo23b2o$30bobo2b2o$35bobo$35bo$8b2o$7bobo$9bo7$41bo$40b
2o$40bobo!

Corollary component:

Code: Select all

x = 48, y = 37, rule = B3/S23
9bo$10bo$8b3o3$2bo43bo$obo42bo$b2o35bobo4b3o$38b2o$39bo5$23b2o$23b2o2$
23b2o$22bobo$22bo$19b2obo$15b2o2bobo$14bobo$13bobo$13bo$12b2o$17bo$16b
3o$14b3ob3o21b3o$14bo5bo21bo$13b2o5b2o21bo$12b2o7b2o$13b2o5b2o$14bo5bo
$14b3ob3o$16b3o$17bo!

Useless but extremely peculiar:

Code: Select all

x = 67, y = 92, rule = B3/S23
64bobo$64b2o$65bo11$18bo$19bo$17b3o3$11bo43bo$9bobo42bo$10b2o35bobo4b
3o$47b2o$48bo4$43bo$32b2o9bobo$32b2o9b2o2$32b2o$31bobo$31bo$28b2obo$
24b2o2bobo$23bobo$22bobo$18b2o2bo$18bobob2o$21bo2bo$22b2o3b2ob2o7bo$
13bo4b2o7b2ob2o7bobo9b3o$12bobo3b2o19b2o10bo$12bo2bo6bo29bo$13bobo5bob
o$14bo5bo2bo$21b2o$17b2o$16bo2bo$17bo2bo$18b2o4$43b2o$43bobo$43bo$3o
33bo$2bo32b2o$bo33bobo2$5bo$5b2o24bo$4bobo23b2o$30bobo2b2o$35bobo$35bo
$8b2o$7bobo$9bo8$45b2o$45bobo$45bo10$52b2o$52bobo$52bo!

[mniemiec]

Final step for some random unnamed P3: ...

Nice!

Corollary component: ...

This could usually be done much more cheaply via the 4-glider add-waffle component plus a component to add a tail to the waffle (probably 4-6 gliders).

[MathAndCode]

Final step for some random unnamed P3:

Code: Select all

x = 57, y = 66, rule = B3/S23
18bo$19bo$17b3o3$11bo43bo$9bobo42bo$10b2o35bobo4b3o$47b2o$48bo4$43bo$
32b2o9bobo$32b2o9b2o2$32b2o$31bobo$31bo$28b2obo$24b2o2bobo$23bobo$22bo
bo$18b2o2bo$18bobob2o$21bo2bo$22b2o3b2ob2o7bo$13bo4b2o7b2ob2o7bobo9b3o
$12bobo3b2o19b2o10bo$12bo2bo6bo29bo$13bobo5bobo$14bo5bo2bo$21b2o$17b2o
$16bo2bo$17bo2bo$18b2o4$43b2o$43bobo$43bo$3o33bo$2bo32b2o$bo33bobo2$5b
o$5b2o24bo$4bobo23b2o$30bobo2b2o$35bobo$35bo$8b2o$7bobo$9bo7$41bo$40b
2o$40bobo!

Here is an improved version:

Code: Select all

x = 51, y = 42, rule = B3/S23
38bo$38bobo$38b2o2$34bo$12bobo18bo$o7bo4b2o18b3o$b2o3bobo4bo$2o5b2o$45b
o$28bo14b2o$28bobo13b2o$28b2o8$28b2o$28b2o$24b2o$6bo16bo2bo$4bobo17b2o
bobo$5b2o18bo2b2o$23bobo22b2o$22bobo23bobo$22b2o24bo4$bo$b2o$obo5$3b3o
$5bo$4bo!

I think that Blinkerspawn also made improvements, but I probably obsoleted them.



Edit: Inferno found a synthesis for the base still life. Here is the complete synthesis:

Code: Select all

x = 0, y = 0, rule = B3/S23
427bo$427bobo$427b2o$obo$b2o164bo255bo$bo165bobo231bobo18bo$167b2o120b
o99bo7bo4b2o18b3o$290bo99b2o3bobo4bo$163bobo122b3o98b2o5b2o$164b2o3bo
122bo141bo$164bo3bobo120bo125bo14b2o$168bo2bo119b3o123bobo13b2o284bob
o$169b2obobo242b2o300b2o$161b2o7bo2b2o112b2o431bo$160bobo5bobo115bo2b
o287b2o$162bo4bobo117b2obobo283bo2bo$167b2o119bo2b2o284b2o$286bobo$285b
obo$54bo230b2o$52bobo362b2o155bo$53b2o362b2o155b3ob2o136b3o3bo$413b2o
160b4obo137bob2obo$395bo16bo2bo162bobo140bobo$52b2o339bobo17b2obobo159b
obobo138bobobo$53b2o339b2o18bo2b2o159bo2b2o136bobo2b2o$52bo359bobo22b
2o136b2obo140bobo$411bobo23bobo133b3obo13b2o125bobo$411b2o24bo135b4o13b
2o123b3obo$52b2o519bo18bo$51b2o$36b2o15bo$36bobo351bo164b2o141b2o$36b
o353b2o163bobo140bobo$389bobo164bo142bo$12b2o$13b2o$12bo2$15b2o375b3o
$14bobo377bo$16bo376bo!