Here's an 11-glider synthesis of the 2-fold Eureka based on
a soup:
Code: Select all
x = 117, y = 43, rule = B3/S23
42bo$43bo$41b3o8$51bo$52b2o48bo$51b2o48bo$101b3o2$86bo$87b2o$7bobo76b
2o$8b2o$2bo5bo$obo73bo4bo$b2o71b2ob4ob2o$76bo4bo2$7b3o$7bo62b2o$8bo60b
2o$71bo2$54b3o$56bo48b2o$55bo48b2o$106bo8$114b3o$114bo$115bo!
It uses a pentadecathlon, two thunderbirds, and two extra gliders to suppress sparks. A cheaper synthesis might possibly be found from this common predecessor:
Code: Select all
x = 47, y = 13, rule = B3/S23
bo6bo31b3o$obo4bobo29bo3bo$obo4bobo29bo3bo$bo35b2o5b2o$6bobo4b3o12b3o
5bo4bo4bo$5b2o6bo16bo5bo3bobo3bo$5b2o6b3o12b3o5bo4bo4bo$37b2o5b2o$39bo
3bo$39bo3bo$40b3o$37b2o$37b2o!
The reason for this new synthesis is that it reduces the synthesis of the p47 pre-pulsar shuttle to a total of 39 gliders:
Code: Select all
x = 153, y = 91, rule = B3/S23
150bo$75bo74bobo$76b2o72b2o$75b2o2$144bo$142b2o$143b2o2$108bo$83bo22b
2o7bo$81bobo23b2o6bobo$82b2o31b2o3$98bo$99b2o$98b2o33bobo$128bobo2b2o$
128b2o4bo$106bo22bo$104b2o$105b2o$84bobo$85b2o$85bo7$12bo$10bobo$11b2o
$15bo$15bobo$15b2o87b2o$104b2o2$bo26bo62bo26bo$obo6b3o6b3o6bobo60bobo
6b3o6b3o6bobo$bo7bobo6bobo7bo62bo7bobo6bobo7bo17b3o$9b3o6b3o78b3o6b3o
25bo$137bo2$72bo$9b3o6b3o52bo25b3o6b3o$bo7bobo6bobo7bo42b3o17bo7bobo6b
obo7bo$obo6b3o6b3o6bobo60bobo6b3o6b3o6bobo$bo26bo62bo26bo2$104b2o$15b
2o87b2o$15bobo$15bo$11b2o$10bobo$12bo7$124bo$123b2o$123bobo$103b2o$
104b2o$80bo22bo$75bo4b2o$75b2o2bobo$74bobo33b2o$109b2o$111bo3$93b2o31b
2o$92bobo6b2o23bobo$94bo7b2o22bo$101bo2$65b2o$66b2o$65bo2$133b2o$58b2o
72b2o$57bobo74bo$59bo!
Jason Summers' p47 traffic light hassler can now be synthesized in a total of 110 gliders:
Code: Select all
x = 859, y = 112, rule = B3/S23
351bo$349bobo$350b2o5$355bo$356b2o$355b2o4$409bo$408bo$408b3o2$366bobo
86bo$367b2o84b2o$367bo86b2o$186bo$187bo$185b3o2$445bo$445bobo$371bobo
71b2o274bo93bobo3bobo$372b2o58bobo287bo91bo9bo$372bo59b2o286b3o91bo9bo
$433bo380bo2bo3bo2bo$814b3o5b3o$723bobo$402bo320b2o$400b2o322bo$401b2o
328bo$729b2o$371bo358b2o$372bo$40bo329b3o$38bobo169bobo$39b2o159bo9b2o
229bo81bo$11bo7bo61bo7bo61bo7bo41b2o8bo39bo7bo39bo7bo43bo7bo39bo7bo31b
2o50bo7bo22bo16bo7bo43bo7bo39bo7bo43bo7bo39bo7bo43bo7bo39bo7bo$10bobo
5bobo20bo38bobo5bobo59bobo5bobo39b2o48bobo5bobo37bobo5bobo41bobo5bobo
37bobo5bobo31b2o48bobo5bobo21b3o13bobo5bobo41bobo5bobo37bobo5bobo41bob
o5bobo37bobo5bobo41bobo5bobo37bobo5bobo$2o9bo7bo9b2o10bobo26b2o9bo7bo
9b2o39b2o9bo7bo9b2o69b2o9bo7bo9b2o28bo7bo32b2o9bo7bo9b2o28bo7bo72b2o9b
o7bo9b2o7bo9b2o9bo7bo9b2o21b2o9bo7bo9b2o17b2o9bo7bo9b2o21b2o9bo7bo9b2o
17b2o9bo7bo9b2o21b2o9bo7bo9b2o17b2o9bo7bo9b2o$bo27bo11b2o28bo27bo41bo
27bo37bo33bo27bo71bo27bo111bo27bo6bobo10bo27bo23bo27bo8bobo8bo27bo23bo
27bo19bo27bo23bo27bo19bo27bo$bobo23bobo41bobo23bobo41bobo23bobo36bo34b
obo23bobo71bobo23bobo111bobo23bobo7b2o10bobo23bobo23bobo23bobo9b2o8bob
o23bobo23bobo23bobo19bobo23bobo23bobo23bobo19bobo23bobo$2b2o23b2o43b2o
23b2o43b2o23b2o37b3o33b2o23b2o73b2o23b2o113b2o23b2o21b2o23b2o25b2o23b
2o10bo10b2o23b2o25b2o23b2o21b2o23b2o25b2o23b2o21b2o23b2o$6bo17bo51bo
17bo51bo17bo81bo17bo32bo11bo36bo17bo32bo11bo76bo17bo29bo17bo33bo17bo
29bo17bo33bo17bo29bo17bo33bo17bo29bo17bo$6bo17bo51bo17bo9bo41bo17bo9bo
71bo17bo9bo22bo11bo36bo17bo9bo22bo11bo76bo17bo9bo19bo17bo33bo17bo9bo7b
o11bo17bo33bo17bo9bo19bo17bo33bo17bo9bo9bo9bo17bo$6bo17bo17b2o32bo17bo
8bobo40bo17bo8bobo70bo17bo8bobo70bo17bo8bobo110bo17bo8bobo18bo17bo33bo
17bo8bobo6bo11bo17bo33bo17bo8bobo5b2o11bo17bo33bo17bo8bobo7bobo8bo17bo
$11b3o3b3o22bobo36b3o3b3o13b2o46b3o3b3o13b2o36bo39b3o3b3o13b2o76b3o3b
3o13b2o116b3o3b3o13b2o24b3o3b3o43b3o3b3o13b2o7bo16b3o3b3o43b3o3b3o13b
2o6b2o16b3o3b3o43b3o3b3o13b2o9b2o13b3o3b3o$11bobo3bobo22bo38bobo3bobo
61bobo3bobo51bobo37bobo3bobo39b3o3b3o43bobo3bobo39b3o3b3o83bobo3bobo
39bobo3bobo43bobo3bobo39bobo3bobo43bobo3bobo39bobo3bobo43bobo3bobo39bo
bo3bobo$11b3o3b3o61b3o3b3o61b3o3b3o51b2o38b3o3b3o40bo5bo44b3o3b3o40bo
5bo84b3o3b3o39b3o3b3o43b3o3b3o39b3o3b3o43b3o3b3o39b3o3b3o43b3o3b3o39b
3o3b3o$294bo17bo$295bo15bo$7b2o13b2o53b2o13b2o53b2o13b2o83b2o13b2o29b
3o15b3o33b2o13b2o31b2o13b2o75b2o13b2o31b2o13b2o35b2o13b2o31b2o13b2o35b
2o13b2o31b2o13b2o35b2o13b2o31b2o13b2o$7b2o13b2o53b2o13b2o53b2o13b2o83b
2o13b2o83b2o13b2o31b2o13b2o75b2o13b2o31b2o13b2o35b2o13b2o31b2o13b2o35b
2o13b2o31b2o13b2o35b2o13b2o31b2o13b2o2$290b3o21b3o$11b3o3b3o61b3o3b3o
61b3o3b3o91b3o3b3o32bo7bo5bo7bo36b3o3b3o40bo5bo84b3o3b3o39b3o3b3o43b3o
3b3o39b3o3b3o43b3o3b3o39b3o3b3o43b3o3b3o39b3o3b3o$11bobo3bobo61bobo3bo
bo22bo38bobo3bobo34b2o55bobo3bobo31bo7b3o3b3o7bo35bobo3bobo39b3o3b3o
83bobo3bobo39bobo3bobo43bobo3bobo39bobo3bobo43bobo3bobo39bobo3bobo43bo
bo3bobo39bobo3bobo$11b3o3b3o61b3o3b3o22bobo36b3o3b3o13b2o20b2o54b3o3b
3o13b2o76b3o3b3o13b2o116b3o3b3o13b2o24b3o3b3o43b3o3b3o13b2o7bo16b3o3b
3o43b3o3b3o13b2o6b2o16b3o3b3o43b3o3b3o13b2o9b2o13b3o3b3o$6bo17bo51bo
17bo17b2o32bo17bo8bobo18bo51bo17bo8bobo70bo17bo8bobo110bo17bo8bobo18bo
17bo33bo17bo8bobo6bo11bo17bo33bo17bo8bobo5b2o11bo17bo33bo17bo8bobo7bob
o8bo17bo$6bo17bo51bo17bo51bo17bo9bo71bo17bo9bo22bo11bo36bo17bo9bo22bo
11bo76bo17bo9bo19bo17bo33bo17bo9bo7bo11bo17bo33bo17bo9bo19bo17bo33bo
17bo9bo9bo9bo17bo$6bo17bo51bo17bo51bo17bo81bo17bo32bo11bo36bo17bo32bo
11bo25b2o49bo17bo29bo17bo33bo17bo29bo17bo33bo17bo29bo17bo33bo17bo29bo
17bo$2b2o23b2o43b2o23b2o43b2o23b2o37bo35b2o23b2o73b2o23b2o65b2o46b2o
23b2o21b2o23b2o25b2o23b2o10bo10b2o23b2o25b2o23b2o21b2o23b2o25b2o23b2o
21b2o23b2o$bobo23bobo41bobo23bobo41bobo23bobo34b2o35bobo23bobo71bobo
23bobo66bo9b2o33bobo23bobo7b2o10bobo23bobo23bobo23bobo9b2o8bobo23bobo
23bobo23bobo19bobo23bobo23bobo23bobo19bobo23bobo$bo27bo41bo27bo11b2o
28bo27bo26b3o6b2o34bo27bo71bo27bo75b2o34bo27bo6bobo10bo27bo23bo27bo8bo
bo8bo27bo23bo27bo19bo27bo23bo27bo19bo27bo$2o9bo7bo9b2o39b2o9bo7bo9b2o
10bobo26b2o9bo7bo9b2o27bo41b2o9bo7bo9b2o28bo7bo32b2o9bo7bo9b2o28bo7bo
39bo32b2o9bo7bo9b2o7bo9b2o9bo7bo9b2o21b2o9bo7bo9b2o17b2o9bo7bo9b2o21b
2o9bo7bo9b2o17b2o9bo7bo9b2o21b2o9bo7bo9b2o17b2o9bo7bo9b2o$10bobo5bobo
59bobo5bobo20bo38bobo5bobo36bo52bobo5bobo37bobo5bobo41bobo5bobo37bobo
5bobo81bobo5bobo21b3o13bobo5bobo41bobo5bobo37bobo5bobo41bobo5bobo37bob
o5bobo41bobo5bobo37bobo5bobo$11bo7bo61bo7bo61bo7bo91bo7bo39bo7bo43bo7b
o39bo7bo83bo7bo22bo16bo7bo43bo7bo39bo7bo43bo7bo39bo7bo43bo7bo39bo7bo$
109b2o412bo$108bobo260b3o$110bo262bo$372bo72b2o$445bobo282b2o$208b3o
189b2o43bo283b2o$208bo190b2o330bo$209bo191bo322bo$195b2o526b2o$196b2o
525bobo$195bo618b3o5b3o$373bo440bo2bo3bo2bo$373b2o345b3o91bo9bo$372bob
o347bo91bo9bo$721bo93bobo3bobo2$372bo65bo$372b2o63b2o$185b3o183bobo63b
obo$187bo$186bo216b3o$403bo35bo$404bo33b2o$438bobo2$396b3o$360b2o36bo$
361b2o34bo$360bo3$450b2o$449b2o$355b2o94bo$354bobo$356bo3$455b2o$455bo
bo$455bo!
There may be a cheaper way to inject those boats near the end.