I reduced 19 gliders from the most expensive family consisting of 4 still lifes (#1: 142G/123G
xs21_03p68ozc930346, #2: 137G/118G
xs21_314u0mp3zw643, #4: 128G/109G
xs21_3pa4oz643039c, #8: 123G/104G
xs21_3lkim853z641) using 12G synthesis of
xs19_0iu0mp3z1243:
Code: Select all
x = 144, y = 27, rule = B3/S23
15bo$13bobo$14b2o$26bo$25bo$25b3o$b2o11bo$o2bo8bobo7bo$b2o10b2o6bo107b
obo$21b3o106b2o$5b2o123bo$4bo2bo$5b2o$75b2o19bobo36b2o$75b2o19b2o37b2o
$97bo2$22b3o65b2o$24bo65b2o$23bo7bo$30b2o49bo59bo$30bobo44bo2bobo54bo
2bobo$23b2o52b4o2bo53b4o2bo$22bobo56b2o58b2o$24bo52b2obo12b3o41b2obo$
76bo2b2o55bo2b2o$76b2o58b2o!
Code: Select all
x = 1057, y = 297, rule = B3/S23
267bobo303bo$268b2o302bo$268bo303b3o4$277bo$278b2o$277b2o$283bobo$284b
2o$284bo9$292bo$293bo$291b3o$304bo$305bo$303b3o$545bo$545bobo$545b2o7$
310bo$311bo$309b3o4$309bobo$310b2o203bo$310bo204bobo$515b2o6$329bo$
330bo$328b3o$512bo$510b2o$511b2o2$329bo$330bo$328b3o3$334bo174bo$335b
2o171bo$334b2o172b3o6$517bo$517bobo$517b2o4$362bobo$363b2o$363bo2$493b
obo$493b2o$357bobo134bo$358b2o$358bo12$488bo$487bo$487b3o6$495bo$475bo
19bobo$475bobo17b2o$475b2o3$386bo$384bobo$385b2o10$404bo$405bo$403b3o
8$478bo$478bobo$478b2o9$615bo$116bo322bobo173bobo196bo227bo$116bobo
320b2o174b2o197bobo225bobo$116b2o322bo367bobo3b2o9bo210bobo3b2o9bo$15b
o38bo551bobo200b2o7bobo4bobo209b2o7bobo4bobo$14bo40b2o133bobo414b2o4bo
bo193bo8b2o5b2o210bo8b2o5b2o$14b3o37b2o12bo121b2o39bo375bo5b2o204bo
227bo$61bobo2b2o123bo37bobo382bo$62b2o3b2o161b2o387bo$13bo48bo124bo46b
o382b2o$11b2o133bo38b2o47bobo381b2o119bobo$12b2o133b2o37b2o46b2o376bo
127b2o$2o50b2o44b2o17bo28b2o16b2o59b2o187b2o3b2o184b2o3b3o44b2o4b2o35b
2o4b2o32bo13b2o4b2o50b2o4b2o220b2o4b2o$obob2o46bobob2o40bobob2obo11bob
o44bobob2o55bobob2o183bobobo2bo183bobobo47bobobo2bo35bobobo2bo46bobobo
2bo50bobobo2bo220bobobo2bo$2bobo5b2o42bobobob2o38bobob2o11b2o47bobobob
o54bobobobo182bobob2o185bob2o48bob2o39bob2o50bob2o54bob2o224bob2o$bo2b
o4b2o7bo34bo2bobob2o37bo2bo62bo2bo2b2o53bo2bo2b2o181bo2bo187bo2bo48bo
2bo39bo2bo50bo2bo54bo2bo9b2o213bo2bo9b2o$b2ob2o5bo5b2o34b2obobo40b2obo
62b2obo57b2obo185b2obo187b2obo48b2obo39b2obo50b2obo54b2obo9bobo212b2ob
o9bobo$3bo2bo10bobo35bo2bo42bo17b2o46bo60bo188bo190bo6b2o43bo3bobo36bo
53bo57bo10bo216bo10bo$3bobo49bobo43bobo14b2o34bo12bobo55bobo186bobo
188bobo6b2o35bo5bobo4b2o35b2o52b2o58bobo222bobo$4bo51bo45b2o16bo34bo
12b2o55b2o187b2o7bo4b2o175b2o9bo35bo4b2o6bo35bo53bo60b2o222b2o$153b3o
267b2o3bobo219b3o49bo53bo$63b2o357bobo3bo183b2o89bo51b2o$63bobo545bobo
49bo38b2o$63bo549bo39b2o6b2o$154b2o266bo193b2o34bobo7b2o$153b2o267b2o
11bo180bobo35bo42b2o$51b2o4b3o57b2o36bo265bobo10b2o180bo81b2o6b3o59b2o
$50bobo6bo6bo49b2o316bobo260bo8bo36b3o12b2o8bobo$52bo5bo6b2o51bo582b2o
4bo37bo11bobo8bo$65bobo349b2o282bobo40bo14bo$164b3o249bobo236b2o44bo
63b2o$166bo4b3o244bo21bo215b2o106bobo$165bo5bo267b2o214bo110bo$172bo
266bobo2$436b2o$151b3o19b3o259b2o338b3o$153bo19bo230b2o31bo337bo$152bo
3b3o15bo230b2o369bo$158bo21b2o222bo$157bo22bobo$180bo$402b3o$404bo$
403bo11$459b2o$459bobo$459bo$380b2o$381b2o$380bo$462bo11bo$461b2o10b2o
$461bobo9bobo$376bo$376b2o$375bobo$370bo101bo$370b2o99b2o$369bobo99bob
o$462b2o$461b2o$463bo4$385b3o$387bo$386bo2$366b2o$365bobo$367bo5$376b
3o$378bo$377bo114bo$491b2o$357b2o132bobo$356bobo$358bo2$350b3o$352bo
146b2o$351bo147bobo$499bo19b2o$518b2o$513b3o4bo$513bo$514bo$499b2o$
498b2o$343b2o155bo$344b2o$343bo3$504b2o$503b2o$505bo5$520b3o$520bo$
521bo32$566b2o$565b2o$567bo!
Information in the Catagolue should be updated (Edit: done):
The collection of synthesisable objects, which includes all strict still-lifes of 20 or fewer live cells, is arranged below:
Edit (18 November): reduction for
xs21_3pc0s4zw23c952 and
xs21_g4cj9a4z9f032:
Code: Select all
x = 314, y = 49, rule = B3/S23
126bo$127bo$125b3o15$2bobo2bobo77bo54bo92bo$3b2o2b2o79bo53bobo75bo13bo
$3bo4bo77b3o53b2o77b2o5bo5b3o5bo$50bobo131bo35b2o6bobo10bo$2bo6bo35bob
o2b2o133bo42b2o11b3o$3bo4bo37b2o3bo31bo4bobo51b2o39b3o$b3o4b3o35bo37b
2o2b2o51b2o45bo111bo$43bo39b2o4bo53bo43bo113b2o$41bobo137b2o4b3o40b2o
3b2o63b2o5bo$42b2o93bo39bo3b2o43bo3b2o2bo2bo69bobo$87b2o47bobo37bobo
46bobo7b2o70b2o$48b2o37b2o2b2o44b2o2b2o34b2o2b2o43b2o2b2o$48b2o41b2o
48b2o38b2o47b2o6b3o59bobo$238bo62b2o8bo$5b2o41b2o41b2o48b2o38b2o47b2o
7bo4b3o54bo8bobo$2bo2bo2bo36bo2bo2bo36bo2bo2bo43bo2bo2bo33bo2bo2bo42bo
2bo2bo10bo62bo2bo2bo$2b3o2b2o36b3o2b2o36b3o2b2o43b3o2b2o33b3o2b2o42b3o
2b2o11bo61b3o2b2o$5b2o41b2o41b2o48b2o38b2o47b2o78b2o$4o2bo36b4o2bo36b
4o2bo43b4o2bo33b4o2bo42b4o2bo7b3o63b4o2bo$o2b2o38bo2b2o38bo2b2o45bo2b
2o35bo2b2o44bo2b2o9bo65bo2b2o$240bo3$306bo$305b2o$301bo3bobo$301b2o$
300bobo2$307bo$306b2o$306bobo!
Edit 2 (20 November): reduction for
xs21_32qk0o8zxc8728c from 127G to 41G:
Code: Select all
x = 297, y = 29, rule = B3/S23
183bo3bobo$178bo3bo4b2o$178b2o2b3o3bo$177bobo$226bo11bo46bo$227b2o3bo
3b2o48bo$226b2o3bobo3b2o45b3o$231bobo55bo4bobo$63bo2bobo154b2o7bo7b2o
31bobo12bo5b2o$58bo2bobo3b2o61bo3bo87bobo15bobo31b2o12b3o4bo$58b2o2b2o
3bo63bobo90bo15bo33bo5bo3bo$57bobo69b3ob3o44b2ob2o45b2ob2o44bobobobo$
180b2ob2o45b2ob2o45b2ob2o$272bo$7b2o68b2o58b2o48b2o48b2o33b2o13b2o3b2o
$8bo4bo64bo52b2o5bo42b2o5bo42b2o5bo32bobo7b2o5bo3bobo$ob2ob3o3b2o57bob
2ob3o52bo2bob3o42bo2bob3o42bo2bob3o42bo2bob3o4bo$2obobo6b2o56b2obobo
54b2obobo44b2obobo44b2obobo44b2obobo$3bo69bo59bo49bo49bo49bo$3bo69b2o
58b2o48b2o48b2o48b2o$b2o68bobo2bo54bobo2bo44bobo2bo44bobo2bo44bobo2bo$
bo69b2o2b2o54b2o2b2o44b2o2b2o44b2o2b2o44b2o2b2o$2bo12b2o$b2o6b2o3b2o$
8b2o6bo$10bo$bo$2o$obo!
Final steps for bigger related still lifes:
Code: Select all
x = 148, y = 22, rule = B3/S23
19bo$19bobo117bo$19b2o62bo53b2o$14bo56bo9b2o48bo6b2o$12bobo54bobo10b2o
45bobo$13b2o55b2o58b2o$79bo59bo$18bo42bobo14bo42bobo14bo$2bobo12bo44b
2o14b3o41b2o14b3o$3b2o12b3o42bo22bobo34bo22bobo$3bo5bo3bo11bobo41bo3bo
11b2o42bo3bo11b2o$8bobobobo10b2o41bobobobo11bo41bobobobo11bo$9b2ob2o
12bo42b2ob2o55b2ob2o$bo$b2o13b2o42bo15b2o42bo15b2o$obo7b2o5bo4bo37b2o
8b2o5bo42b2o8b2o5bo$9bo2bob3o4b2o36bobo7bo2bob3o6bo35bobo7bo2bob3o6bo$
9b2obobo6bobo45b2obobo7b2o45b2obobo7b2o$12bo59bo9bobo47bo9bobo$12b2o
58b2o58b2o$10bobo2bo54bobo2bo54bobo2bo$10b2o2b2o54b2o2b2o54b2o2b2o!
Edit 2a: 16G
xs21_696o8z32ql4c and 18G
xs21_696o8z32alkc (down from 123G and 125G):
Code: Select all
x = 185, y = 40, rule = B3/S23
34bo$9bo23bo$10b2o21b3o$9b2o15bo$24b2o$25b2o46bo$74bo$72b3o$21bo$11bo
8bo$12b2o6b3o52b2o$11b2o62b2o2$120bo$121bo50bo$119b3o48bobo$171b2o$30b
3o45b2o2b2o44b2o2b2o44b2o2b2o$30bo43bo3bo2bo2bo39bo3bo2bo2bo43bo2bo2bo
$31bo42b3obo3b2o40b3obo3b2o34b3o4b2obo3b2o$4bo67b2o3bob3o40b2o3bob3o
38bo4bobob3o$5bo65bo2bo2bo3bo39bo2bo2bo3bo37bo7bo3bo$3b3o66b2o2b2o44b
2o2b2o48b2o$115b3o$117bo$116bo3$23b2o54b2o$13b3o6b2o55b2o$15bo8bo$14bo
$81b3o$81bo$9b2o71bo$10b2o$9bo15b2o$3o21b2o$2bo23bo$bo!