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4 glider syntheses

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: 4 glider syntheses

Postby BobShemyakin » June 20th, 2015, 3:42 pm

New 4G:
13-209 (10G->4G);
11-25, 14-95 (8G->4G);
12-85, 13-198, 13-218, 15-125, 15-173 (5G->4G):
x = 240, y = 94, rule = B3/S23
4b3o$o3bo15b2o$b2o2bo14bobo$2o20bo$21b2obo$23bobo$2b3o18bobo$4bo19bo$
3bo5$9b2o$8b2o$10bo20$4bo60bobo$4bobo59b2o$4b2o17b2o41bo$22bobo$21bo$b
2o17bo$obo17bobo62bo2bo$2bo2bobo13bobo38bo6b2o14b4o$5b2o15bo37bobo5b2o
13b2o$6bo54b2o7bo11bo3bo$8b2o72b2ob2o$8bobo52bobo$8bo54b2o$64bo22$o61b
obo56bo35bo65bo$b2o59b2o51b2o3bo34bobo64bo$2o61bo50b2o4b3o33b2o64b3o$
110bobo3bo$77b2o32b2o19b2o$76bobo32bo20bo49b2obo$76bo29b2o21b2obo33bob
o12bo2b4o$60bobo14b4o24bobo22bob2o28b2o2b2o13b2o5bo44b2o3b2o$5bo54b2o
18bo26bo22bo2bo28bobo2bo18bobo43bo2bobobo$4bo21b2o3b2o28bo17bo51b2o29b
o23b2o45bobobo$2o2b3o19bo4bo30bo16b2o132bo20bo2bo$obo24b3obo29b2o150bo
bo21b2o$o28b2o30bobo149b2o$177bo$176b2o33b2o$14b2o45b2o113bobo31b2o$
14bobo45b2o148bo$14bo46bo4$211b2o$212b2o$211bo!

New 5G:
11-8 13-220 (7G->5G);
17-1030:
x = 101, y = 83, rule = B3/S23
bo$2bo$3o5bo63bo$9b2o59b2o$8b2o61b2o4$74bo$73bo$73b3o$9bo61bo24b2o$9bo
bob3o54b2o24bobo$9b2o2bo56bobo25bo$14bo21b2o60b2o$37bo61bo$36bo61bo$
15b2o18bo62bobo$15bobo16bo64b2o$15bo17bo26b2o$30bobo28b2o$30b2o28bo6$
85bo$84b2o$84bobo19$37bo$36bo$36b3o5$28bo20bobo$27bo17b2obob2o$27b3o
15b2obo$48bob2o$48bo2bo$28b3o18b2o$21b2o5bo$20bobo6bo$22bo17$b2o$obo$
2bo!

and 6G: 16-911, 16-1007:
x = 180, y = 21, rule = B3/S23
110bo$39bo71b2o37bo$40b2o68b2o39b2o$7bo31b2o109b2o$6bo29b2o109b2o$6b3o
16bo9bobo7bo18b2o70bo9bobo7bo18b2o$24bobo10bo6bobo16bo2bo68bobo10bo6bo
bo16bo2bo$8bo16b2o18b2o16b4o69b2o18b2o16b4o$7b2o107bo$7bobo15b2o18b2o
18b2o49bobo17b2o18b2o18b2o$24bo2bo16bo2bo16bo2bo48b2o18bobo17bobo17bob
o$25bo2bo16bo2bo16bo2bo68bobo17bobo17bobo$26b2o18b2o18b2o46b3o21b2o18b
2o18b2o$b2o113bo$obo112bo$2bo7b3o$10bo$11bo$118b3o$118bo$119bo!

12-50 (12G->8G). Now all still lifes <= 13 bits have the costing < 1 glider/bit!
x = 66, y = 24, rule = B3/S23
47bo$48bo$46b3o4$49bo$47b2o$44bo3b2o$45b2o$44b2o$5bo$4bo$4b3o57b2o$23b
2o18b2o4bo13bobo$22bobo17bobo2b2o13bo$21bo19bo6b2o11bo$20bo19bo19bo$3o
4bo12bobo17bobo17bobo$2bo2b2o14bobo17bobo17bobo$bo4b2o14bo19bo19bo$9b
2o$9bobo$9bo!

Decrease the costing of some 14-bit still lives: 14-239 (14G->11G); 14-480, 14-528 (14G->12G):
x = 117, y = 163, rule = B3/S23
48bobo$49b2o$49bo$97bo$97bobo$97b2o2$52bo$53bo$51b3o14$11bo$12bo6bobo$
10b3o6b2o$20bo3$10b2o$11b2o22b2o48b2o28b2o$10bo11b3o6b2o3bo44b2o3bo24b
2o3bo$22bo9bo2bo46bo2bo24bobo2bo$23bo8bobo47bobo25bobobo$33bo49bo27bob
o$112bo2$7b2o$8b2o$7bo$73bo$74bo$72b3o$76bo$76b2o$75bobo8$64b2o$65b2o$
64bo26$60bo$59bo$59b3o$52b2o$51bobobo$26bo26bobobo$25bo29b2o4bo$25b3o
33bobo5bobo$61b2o6b2o$70bo$65b3o11bo$14bo22b2o18b2o6bo11b3o$13b2o18b2o
bo2bo13b2obo2bo6bo6b2obo$2b2o9bobo18bobobo15bobobo15bob2o$bobo30bo2bo
16bo2bo16bo2bo$3bo5b3o23b2o18b2o4b3o11b2o$11bo49bo$10bo51bo20$23b2o$
23bobo$23bo21$49bo$37bobo7b2o$12bo25b2o8b2o$2bo9bobo23bo$obo9b2o42bo$b
2o52bo$55b3o$28b2o18b2o18bo$27bo2bo16bo2bo16bobo$27b3o17b3o17b2o$25b2o
18b2o18b2o$24bo2bo16bo2bo6bo9bo2b2o$25b2o18b2o6bo11bo2bo$53b3o10b2o$b
2o4b2o3b3o$obo5b2o2bo$2bo4bo5bo25bobo$40b2o2b2o$40bo2b2o$45bo6b2o$52bo
bo$52bo!



Bob Shemyakin
BobShemyakin
 
Posts: 191
Joined: June 15th, 2014, 6:24 am

Re: 4 glider syntheses

Postby mniemiec » June 20th, 2015, 11:05 pm

BobShemyakin wrote:12-50 (12G->8G). Now all still lifes <= 13 bits have the costing < 1 glider/bit!

Actually, the most recent synthesis of 12.50 cost 11 gliders (4 to long canoe + 7 snake-to-tub-w/long tail) but this is much better.

Back in the 1990s, Dave Buckingham synthesized all still-lifes up to 14 bits at <1 glider per bit, with only 11 14-bit still-lifes costing 14 gliders (and due to a bookkeeping error, 14.352 costs 15 gliders).

BobShemyakin wrote:Decrease the costing of some 14-bit still lives: 14-239 (14G->11G); 14-480, 14-528 (14G->12G):

The above removes 3 of the 12 remaining 14-bit still-lifes, with only 9 left to go
(14.100, 14.618, 14.97, 14.398, 14.191, 14.598, 14.558, 14.552, and 14.352)
mniemiec
 
Posts: 719
Joined: June 1st, 2013, 12:00 am

Re: 4 glider syntheses

Postby BobShemyakin » June 21st, 2015, 3:39 am

mniemiec wrote:
The above removes 3 of the 12 remaining 14-bit still-lifes, with only 9 left to go
(14.100, 14.618, 14.97, 14.398, 14.191, 14.598, 14.558, 14.552, and 14.352)

From this list remove 14.398 (14G->11G):
x = 70, y = 21, rule = B3/S23
45bobo$45b2o$46bo$40bobo$4bo36b2o$5bo6bobo26bo$3b3o6b2o32bobo$13bo32b
2o$47bo$39bo24b2o$3b2o35bo24bo$4b2o22b2o8b3o7b2o14bo3b2o$3bo11b3o6b2o
3bo14b2o3bo14b2o3bo$15bo9bo2bo16bo2bo16bo2bo$16bo8bobo17bobo17bobo$26b
o15bo3bo19bo$41b2o$41bobo$2o34b2o$b2o32bobo$o36bo!


Bob Shemyakin
BobShemyakin
 
Posts: 191
Joined: June 15th, 2014, 6:24 am

Re: 4 glider syntheses

Postby BobShemyakin » June 26th, 2015, 2:36 pm

Any more 4G: 11-36, 12-28, 16-122, 16-137, 16-624, 19-30501
x = 306, y = 21, rule = B3/S23
129bo$128bo$128b3o2$127bo49bo$obo123b2o47bobo56bo$2o58bo65bobo47b2o54b
2o67b2o$bo56bobo165bo6b2o16b2o31bo15bobo$59b2o6bo19b2o53b2obo81b2o21bo
2bo29bo16bo$2b3o19bo2bo39bobo14bo3bo36bo15bo2b2o50b2o3b2o23b2o22b2obo
22b2o5b3o11b2obo$4bo3b2o14b4o39b2o15b4o36b2o14bobo34bobo16bobobobo33bo
16b2o22b2o18b2obob2o$3bo3b2o115bobo13bobob2o31b2o19bobo30b2o2bo14b3o2b
o20bo5bo18bo2bo$9bo14b2o60b2o53b2ob2o32bo19bobo30bobob3o12bo3b2o25b2o
19bo2bo$23bobo60b2o109b2ob2o29bo49bobo19b2o$b2o21bo39bo3bo48b2o57b2o$
2b2o58bobob2o50b2o56bobo$bo61b2o2b2o48bo52b2o4bo$171b2o$170bo117bo$
287b2o$287bobo!

Now the number 4G has increased to 151 still-lifes.

6G: 18-2051
x = 73, y = 20, rule = B3/S23
53bo$10bobo39bo$11b2o39b3o$11bo2$31bo19bo$31bo19bo$27bo3bo15bo3bo15bo$
11b2o13bobo17bobo17bobo$12b2o12bobo2bo14bobo2bo14bobo2bo$11bo4bo8b2obo
bobo12b2obobobo12b2obobobo$14b2o9bo2bobobo12bo2bobobo12bo2bobobo$15b2o
9b2o3bo14b2o3bo14b2o3bo$bo$b2o$obo31b2o18b2o$34b2o18b2o$59bo$58b2o$58b
obo!


Bob Shemyakin
BobShemyakin
 
Posts: 191
Joined: June 15th, 2014, 6:24 am

Re: 4 glider syntheses

Postby BobShemyakin » July 4th, 2015, 3:12 pm

New 4G: 11-46 (6G->4G), 12-113 (5G->4G), 15-370 (34G->4G!!!)
x = 139, y = 27, rule = B3/S23
14bo$13bo$13b3o3$52bo$53bo$51b3o50bo$102bobo$6bobo94b2o$6b2o47bobo$7bo
48b2o$56bo25b2o24bo$28b2o48b2obobo22bobo10bo$28bo50bobo25b2o9bo$30bo
48bo2bo35b3o13bob2o$29b2o38bo10b2o52b2obo$5bo22bo38b2o50bo12b2o$4bo24b
obo32bo3b2o48b2o13bob2o$4b3o23b2o33b2o51bobo12bo2bo$64b2o68b2o2$5b3o$
5bo$6bo!

and 5G: 16-1006, 18-6566, 19-bit
x = 187, y = 60, rule = B3/S23
177bo$176bo$176b3o10$156bo$154bobo21bo$114bobo38b2o19b2o$114b2o61b2o$
115bo5$167bo$166bo$166b3o$51bo111b2o$50bo111b2o$50b3o24b2o46bo38bo$76b
obo44b3o59b2o$74bo2bo16b2o2bobo18b2obo59b2o2bo$43bo30b3o16bobo2b2o5b2o
13bobob2o55bob3o$42b2o51bo3bo5bobo12bobobo56bo$42bobo29b3o28bo15bo2bo
57b4o$38b3o32bo2bo21b3o21b2o62bo$40bo33b2o24bo83bobo$39bo59bo84b2o$49b
2o$49bobo$49bo20$3o$2bo$bo!


Bob Shemyakin
BobShemyakin
 
Posts: 191
Joined: June 15th, 2014, 6:24 am

Re: 4 glider syntheses

Postby BobShemyakin » July 12th, 2015, 9:19 am

New 4G: 12.6 (5G->4G), 13.36 (5G->4G), 15.76 (6G->4G), 16.165 (5G->4G):
x = 186, y = 23, rule = B3/S23
13bo$13bobo44bo$13b2o9bo33bobo106bo$23bobo33b2o20bo54b2o28bo15b2o$23b
2o55bobo35bo16bo2bo27b3o9b2o2bobo$21b2o57b2o37bo15bob2o39bobobo2bo$20b
obo94b3o14b2o31bo12bo2bobo$19bobo58b4o50bo2b2o27b2o11b2o3bo$20bo37bobo
2bobo14bo3bo35b2o13b2obo20bo6bobo$59b2o2b2o18b2o35bobo36b2o$59bo4bo55b
o37bobo2$64b2o$65b2o94b2o$64bo54b2o41b2o$120b2o39bo$4bo114bo$3bo110bo$
3b3o108b2o$113bobo$b2o8bo$obo8bobo$2bo8b2o!

and 5G: 16-725:
x = 73, y = 21, rule = B3/S23
64bo$63bo$63b3o2$40b2o18b2o$28b2o10b2o6b2o10b2o6b2o$28bo2bo16bo2bo16bo
2bo$30b2o18b2o18b2o$bo$o27b4o16b4o16b4o$3o24bo4bo14bo4bo14bo4bo$27b2o
2b2o14b2o2b2o14b2o2b2o$bo$2o$obo$17b3o$17bo$18bo$8b3o$8bo$9bo!


Bob Shemyakin
BobShemyakin
 
Posts: 191
Joined: June 15th, 2014, 6:24 am

Re: 4 glider syntheses

Postby BobShemyakin » July 26th, 2015, 6:09 am

4G:
x = 97, y = 24, rule = B3/S23
30bo$29bobo61b2o$30bobo43b2o4bo9bo2bo$31bobo41bobo2b2o9bo2bo$32bobo42b
o3b2o8b2ob2o$33bobo58bo$34bo48bo10bobo$82b2o11b2o$13b2o67bobo$14b2o$
13bo4bo53b2o$7b3o6b2o53bobo$9bo7b2o54bo$8bo8$2o$b2o$o!

5G:
x = 80, y = 22, rule = B3/S23
61bo$62b2o$61b2o3$41bo19bo$32bo7bobo9bo7bobo14bo$31bobo6bobo8bobo6bobo
13bobo$20bobo7bo2bo7bo8bo2bo7bo13bo2bo$16b2o2b2o8b2ob2o15b2ob2o20b2ob
2o$16bobo2bo9bo19bo24bo$16bo12bobo17bobo22bobo$29b2o10b2o6b2o10b2o11b
2o$40bobo17bobo$16bo24bo19bo$16b2o$15bobo3$2o$b2o$o!

At this stage of the research 4G synthesis has been completed. The number of synthesized still lifes reached 160. Cite the new table 4G:
#C Collection of still-lifes and oscillators which can be synthesized
#C from 4 gliders.
#C The collection is based on the file "2, 3, and 4-glider syntheses"
#C by Dean Hickerson,  4/29/2007
#C Only one synthesis is shown for each one, even if several are known.
#C Numbering taken from Mark D. Niemiec's Life Page
#C (http://home.interserv.com/~mniemiec/lifepage.htm ).
#C
#C 4-glider syntheses
#C oscillators
#C               clock (period 2)
#C               Spark_coil (period 2)
#C               figure 8 (period 8)
#C
#C still lifes
#C  1 row:     6.1,    6.4,    7.1,    8.1,    8.3,    8.5,    8.6,    8.8,    8.9,    9.3
#C  2 row:     9.4,    9.5,    9.6,    9.7,    9.9,   10.2,   10.4,   10.5,   10.7,   10.9
#C  3 row:    10.11,  10.17,  10.18,  10.20,  10.21,  10.23,  10.24,  10.25,  11.1,   11.2
#C  4 row:    11.4    11.5,   11.11,  11.17,  11.25,  11.30,  11.33,  11.35,  11.36,  11.37
#C  5 row:    11.38,  11.43,  11.46,  12.1,   12.3,   12.6,   12.7,   12.18,  12.25,  12.27
#C  6 row:    12.28,  12.29,  12.66,  12.85,  12.104, 12.107, 12.108, 12.109, 12.111, 12.112
#C  7 row:    12.113, 12.114, 13.9,   13.11,  13.26,  13.32,  13.33,  13.35,  13.36,  13.71
#C  8 row:    13.95,  13.171, 13.173, 13.198, 13.209, 13.218, 13.224, 13.230, 14.5,   14.11
#C  9 row:    14.13,  14.15,  14.32,  14.36,  14.39,  14.50,  14.55,  14.87,  14.89,  14.95
#C 10 row:    14.176, 14.189, 14.363, 14.433, 14.502, 14.507, 14.520, 14.526, 14.573, 14.589
#C 11 row:    14.590, 14.591, 14.595, 14.610, 14.612, 15.13,  15.76,  15.78,  15.94,  15.106
#C 12 row:    15.114, 15.125, 15.151, 15.173, 15.243, 15.356, 15.360, 15.370, 15.438, 15.462
#C 13 row:    15.551, 15.601, 15.856, 15.903, 16.7,   16.122, 16.129, 16.135, 16.137, 16.164
#C 14 row:    16.165, 16.175, 16.244, 16.624, 16.644, 16.737, 16.758, 16.874, 16.1123,16.1942
#C 15 row:    16.2041,17.1296,17.1572,18.287, 18.355, 18.1814,18.2403,18.2914,18.6269,18.6707
#C 16 row:    18.7007,18.7029,19.398, 19.3146,19.30501,20.703,20.5320,20.8995,20.22629,22.16554
#C
#C Bob Shemyakin 7/26/2015
#C
x = 578, y = 550, rule = B3/S23
81bo$82bo$80b3o2$84bo56bo$83bo58b2o$83b3o55b2o6bo$24bo124bobo$bo17bobo
2bobo33b2ob2o55b2o27b2o$bobo16b2o2b2o34bo3bo55b2obo$obo17bo40b3o60bo$
2bo12b2o104bo$16b2o9b3o92bob2o$15bo11bo33b3o60b2o$28bo31bo3bo$60b2ob2o
67b2o$131bobo$79b3o51bo$81bo$80bo$136b3o$82b3o53bo$82bo54bo$83bo48$
377bobo$378b2o$378bo$205bo$203b2o$143bo52bo7b2o$142bo54bo$25bo116b3o
50b3o187bobo2bo$23b2o54bobo122b2o180b2o2bobo$24b2o54b2o57bo63b2o181bo
3b2o106bo$21bo58bo56bobo65bo56bo236bo$19bobo116b2o56bo63b2o175bobo6bo
50b3o57bo5bo$ob2o16b2o38b2o22bo35b2o58b2o14b2o42b2o14bo4b2o37b2o14bo
43b2o58b2o16b2o6bobo31b2o58b2o16b2o2bo$2obo56bo2bo19bo36bobobo55bo2b2o
10bobo42bobo14b2o42bo12bobo2bobo38bobo58bo16bo3b2o2b2o32bobo57bobo14b
2o3b3o$62b2o12b2o5b3o37b2o56b2obo56bobo12b2o42bo14b2o2b2o42bobo55bobo
17bobo39bo21bo37bo$22b2o53b2o163b2o57b3o16bo43b2o56bobo18bo40bo20bobo
36bo$23b2o2b2o47bo10bo58b3o104bo49bo119bo59b2o20b2o38bo12b2o$22bo3b2o
58b2o48b2o8bo106b2o6b3o120b3o58b2o52b3o7bo34b2o13b2o$28bo57bobo46bobo
9bo104bobo6bo124bo57b2o55bo6b2o48bo$137bo124bo49b3o12b2o56bo60bo53bo7b
obo$314bo12bobo239bo$313bo13bo240b2o$568bobo13$147bo49bo$146bo51b2o65b
o241bo$76bobo67b3o48b2o64b2o47bo139bo54bobo$77b2o61bo123b2o47b2o63bo
71b2o43bo11b2o$77bo63bo170b2o62bobo68bo3b2o43bo$139b3o57bo3bo57bo56bo
58b2o67b2o46b3o62bo$200bo2bobo50b3o3b2o52b2o69bo53bobo2bobo111bo$2o16b
o41b2o58b2o58b2o2b2o12b3o2b2o35bob2o14bo2b2o37b2o15b2o41b2ob2o20b2o33b
2o20b2o36b2o58b2ob2o13b3o5bo$obo16b2o39bobo58bo58bobo2bo54b2o2bo12bo
42bobo58bobo22b2o33bo20bo38bo58bob2o2bo20bo$2bo15b2o4bobo34bobo57bob2o
17bo40b2o58bobo55bobo56bo2bo17b2o38bobo57bob2o60b2o18b3o$2bobo19b2o37b
o19bobo36bobo18b2o99bo14b3o40bobo8b2o46b2o19b2o38bobo22b2o33bo2bo83bo
3b2o$3b2o20bo37b2o18b2o38bo18b2o115bo43b2o9b2o2b2o61bo41bobo20b2o35b2o
84b2o2bobo$18b3o63bo175bo52bo4bobo103bo23bo55bo63bobo2bo$20bo124b2o45b
2o124bo65b2o117b2o$19bo61b2o61b2o47b2o189bobo116bobo$80b2o64bo45bo191b
o$25b3o54bo418bo$25bo49b2o424b2o$26bo47bobo423bobo$76bo8$202bo$200bobo
298bobo$201b2o299b2o$258bobo117bobo8bo112bo$206bo52b2o118b2o7bo$135bo
68b2o53bo119bo8b3o$17bo118bo68b2o62bobo46bo$18bo115b3o6bo125b2o48bo
117bo118bobo$16b3o124bobo62b2o60bo46b3o118bo65bobo2bo47b2o$143b2o62b2o
227b3o5bo60b2o2bobo45bo$2o58b2o13bo2bobo39b2o58b2o27bo30b2o58bob2o13bo
8bo34bo22b2o34b2ob2o19bobo33b2o23bo3b2o29b2o$obo57bobo10bobo2b2o40bo2b
o56bo59bobo2b2o53b2o2bo12b2o7bobo31bobo16b3o2bobo33b2obo20b2o34bobo57b
obo$3bo16bo41bo11b2o3bo41b2obo16b3o37bo2b2o57bo2bo6b2o3bo44bobo10bobo
7b2o33b2o18bo2bo38bo11b2o44bobo57bobo$4bo16bo40bobo59bo11b3o2bo40bo2bo
58b2o6bobo2b2o45b2o57b2o15bo42b2o9bobo45bobo57bobo$5bo13b3o41bobo58b2o
12bo3bo40b2o69bo2bobo103bobo70bo46bobo58bo17bo$6bo57bo72bo59b3o164bo
76bo42bo59b2o14b2o$5b2o79b2o111bo240b2o119b2o$21b2o63bobo109bo241bobo$
22b2o4b2o48bo7bo416b3o58b2o$21bo6bobo47b2o236b3o186bo58bobo$28bo48bobo
238bo185bo59bo4b3o$317bo251bo$570bo8$361bo$360bobo17bo2bobo$145bo214bo
2bo14bobo2b2o181bo$21bo118bobo2bobo213bobo15b2o3bo179b2o$19b2o119b2o3b
2o213b2ob2o90bobo107b2o$20b2o119bo59bo253b2o$10bo191bo253bo$8bobo127bo
61b3o$9b2o10b3o115b2o9bo109bo55bo125bobo56bobo$21bo73bo42b2o8b2o108bob
o56b2o124b2o56b2o63b2o$2o20bo37b2o31b2o25b2o27b2o29b2o58b2o17b2o39b2o
14b2o3bo98b2o21bo3bo32b2o20bo37b2ob2o11bobo7bobo$bo59bo2bo29b2o24bobo
58bo2b2o54bobo57bobo18bobo96bobob2o20b2o33bo59bobobo11b2o2bobo2bo$bob
2o56bobobo14b2o40bo58bobo2bo17bo38bo57b2o18b2o99bobo21bobo32bob2o56bo
2bo12bo3b2o$2bo2bo56bo2bo13bobo40bobo57bo2b2o18b2o37bo17b2o39b2o117bob
o14b2o39b2obobo14b2o38b2o20bo$3bobo57b2o16bo3bo37bobo78b2o36bobo17bobo
38bobo117bo16b2o42bo15bobo3bo$4bo79b2o38b2o72b2o8bobo30bobo13bobo2bo
41bo134bo56bo3bo4b2o$84bobo112b2o7b2o32bo15b2o57b2o178b2o6bobo$198bo
10bo48bo57bobo177b2o$12b2o241b2o61bo$11bobo240bobo$13bo242bo$91bo$90b
2o309b2o$90bobo308bobo$323b3o75bo$323bo$324bo2$362b3o$252bo111bo$185bo
64bobo110bo$184bobo54bo9b2o$183bobo54bobo$182bobo56b2o$181bobo59b2o$
145bo34bobo60bobo323bobo$146bo34bo62bobo135bobo184b2o$17bobo124b3o98bo
136b2o186bo$18b2o181b2o180bo116bo$18bo3bo60bobo114b2o235bobo61bo51bobo
$2o20bobo36b2o21b2o34b2o23b3o49bo4bo97b2o59bo58b2o16b2o40b2ob2o14b3o
38b2ob2o9b2o$obo19b2o36bo2bo20bo35bobo24bo50b2o6b3o91bobo57bobo2b2o18b
o35bo2bo13bo10bo31bobo22bo33b2obobo8bo$2bo57bobobo15bo42bo22bo50b2o7bo
94b2o58b2o3bo8bo3bobo2b2o35bobobo21b2o32bobo21bo37bobo$2b3o56bo2bo15b
2o4bobo32b2o84bo95b2o15bo42b3o9b2o3b2o2bobo33b2obobo22b2o30b2ob2o20b3o
35b2o11b2o$5bo56b2o15bobo4b2o8bo24bo181bobo10bo2bo43bo10bobo3bo43bo19b
2o111b2o$4b2o22bo58bo7b2o26bo137bo42b2o8bobo2b3o121b2o111bo$27b2o66bob
o24b2o138bo52b2o128bo52bo8b2o$27bobo230b3o235b2o7bobo$144bo287b3o62bob
o7bo$24b2o118b2o108bo8b2o169bo133b2o$25b2o116bobo106bobo8bobo55b3o109b
o134bobo$24bo189b2o37b2o8bo57bo246bo$213b2o98b3o6bo$215bo99bo$314bo3$
136b3o$138bo$137bo2$212bo$210b2o$211b2o171bo$331bo40bobo10b2o114bobo2b
2o$329b2o42b2o9b2o116b2o2bobo$82bo247b2o41bo128bo3bo$82bobo302b3o$77bo
bo2b2o68bo236bo$21bo56b2o71bo55bo180bo178bobo$2o20bo3bobo31b2ob2o13bo
41b2o29b3o26b2o3b2o21bo32b2o59b2o56bo2bo56b2o11bo11bo34b2ob2o13b3o40bo
25b2o$obob2o14b3o4b2o31b2obo27bo29bo59bo4bo19b3o2b2o27bo2bo15bo42bo2bo
54b4o56bobo8bobo9b2o35b2obo16bo39bobob2o14bo7bo$2bob2o21bo35bo26b2o29b
ob2o15b2o39bob3o24bobo28b2obo15bo39b2o2b2o58b2o56bo9b2o10b2o37bo15bo
40bobobo16b2o$2bo60bobo24bobo29bo2bo13bobo40b2o28bo30bobo12b3o39bo27bo
33bo2bo25b2o29b3o15b2o38b3o58bo2bo15b2o$b2o23b3o35b2o57bo2bo14bo3bo97b
obo56bo24b2o33b2o27bobo31bo13bobo38bo61b2o$28bo45b2o48b2o18b2o98bo56b
2o20b2o2bobo61bo32bobo14bo$27bo45bobo68bobo50b2o61b2o60bobo100bo134b2o
$75bo120bobo55bo4bobo62bo122b2o112b2o5b3o$18b3o128b3o46bo55b2o5bo185bo
bo42b2o66bo7bo$20bo128bo103bobo59bo131bo45b2o74bo$19bo130bo164b2o175bo
$265b3o46bobo$265bo$266bo9$575bo$575bobo$24bobo102bo320bo121bo2b2o$25b
2o103bo252bo64b2o120bobo$25bo102b3o127bo122b2o66b2o120b2o$27bo61bobo
164bobo3bo59bobo57b2o182b2o$27b2o60b2o166b2o4b2o58b2o2bobo166bo68bobo$
26bobo61bo171b2o59bo3b2o167b2o3bo65bo$2o59bobo56bob2o56b2o58b2o59b2o
25bo32b2ob2o16b2o36b2o58b2o13bobob2o43b2o26bo$o2bo57b2obo55b2o2bo55bob
o2b2o54bo2bo21bobo31bobo20bo36bobobobo8b2o4b2o37bobob2o54bobo17b2o41bo
2bo24b2o$b2obo59bo58b2o56b2o3bo19bo34bobobo15b3o2b2o32bobob2o16b2o36bo
bo2bo10b2o5bo38bobobo55bo2bo57bobo25bobo$4bo56b3o61b2o56b3o19bo34b2obo
2bo14bo5bo33b2obobo15bobo36b2o12bo46bo2bo15bobo38bobobo57bo$b3o56bo20b
o43bobo55bo21b3o36b2o16bo42bo11bo103b2o19b2o37b2ob2o14b2o4b3o32b3o$bo
58b2o20b2o42bo12bo59bo117b2o123bo56b2o5bo33bo$18b2o61b2o3bo52bobo58b2o
114bobo182bo5bo32b2o$19b2o65b2o51b2o58b2o187b2o$18bo66bobo115bo184bobo
$136b3o8b2o54b2o9bo173bo$14b2o122bo7b2o54bobo8b2o$13bobo121bo10bo64bob
o223b3o$15bo425bo$440bo3b2o$93b2o349bobo$93bobo348bo$93bo5$83bo66bo$
83bobo62b2o105bo$83b2o64b2o48bo56b2o304bo$21bo175b2o56b2o303b2o$22b2o
174b2o181bobo177b2o$21b2o59b3o4b3o46bo2bobo237b2o175bo$76b2o6bo4bo46bo
bo2b2o239bo57bo115bobo$75bobo5bo6bo46b2o3bo54bobo241bo115b2o8bobo$77bo
120b2o62bo176b3o73bo51b2o$2o58b2o3b2o56bo56b2o16bo42bo19bo39b2o57b2o
60b2o57b2o30b2o26b2o25bo$bo58bobobobo55bobo56bo17bo40bobo18b3o36bo2bo
22bo33bo2b2o56bo2bo55bo2bo24bobo3b2o24bo2bo$bobo16b2o40bobo56bo2bo55bo
18b2o39bobo57b2obo22bobo32bobobo22bo32b2obo12bo7bobo32bobobo24b2o30b3o
12bo$2bobo16b2o39bobo56bobo56b4o14bobo40bob2o56bob2o21b2o32b2obobo21b
2o33bob2o9bobo7b2o34bobobo23bo34b2o10b2o$3bobo14bo3b2o37bo56b2obobo58b
o58bo20b2o35bo20bo41bo18b2o2bobo30bo15b2o8bo35bo2bo26b2o29bo2bo8bobo$
4bobo17bobo97b2o56bobo58bobo14bo2b2o35b2o19b2o59bobo35b2o61b2o28b2o28b
obo$5b2o17bo114b2o41b2o60b2o15bo3bo51bo3bobo60bo55b2o65bo4bo31bo$140b
2o117b3o49b3o4b2o119bobo65b2o$139bo57bo115bo3b2o72b2o48bo64bobo$197b2o
113bo77b2o$196bobo193bo$32b3o$32bo$33bo7$439bo$440bo$438b3o2$264bo$
265b2o56bo117bobo7bo$74bo189b2o58bo116b2o7b2o$75bo246b3o117bo7bobo111b
o$21bo51b3o191bobo294b2o$22b2o3bo115bo123b2o294bobo$bo19b2o2b2o34b2o
58bo19b2o38b2o16bo5bo35b2o25bo32b2o58b2ob2o20bo34b2o16b3o38b2o2b2o13bo
bo2bobo35b2ob2o$obob2o20b2o32bo2bo56bobo19b2o36bo2bo13bobo3b2o35bobo2b
2o53bobo2bo18bo35bobobobo17b2o36bo2b2o14bo38bo4bo14b2o2b2o36bo3bo11bo
7b2o$obobobo54b3o56bo2bob2o19b2o32b2obo14b2o4b2o34bo5bo53bobobobo18bo
34bobobobo11bobo4b2o33bobobobo13bo40b4o15bo4bo38b2o13b2o5bobo$b2obobo
12b2o64bo35bobobo19b2o36bob2o54b5o10b3o42b2obobo16b3o35bo3bo13b2o39b2o
2bo115b4o14b2o6bo$5bo14b2o2b2o37b3o15bo2bo37bo2bo21bo35bo2bo56bo14bo5b
2o39bo73bo44b2o55b2o17bo39bo2bo$19bo3b2o38bo2bo12bobo2b3o36b2o16b2o41b
2o18b2o51bo5b2o65b3o148b2o17b2o$25bo38b2o14b2o60b2o59b2o60bo57b2o5bo
168bobo$141bo63bo116b2o7bo47bo3bo120b2o$146b2o176bo54b2ob2o120bobo55bo
$145b2o48b2o181bobobobo119bo56b2o$74b2o71bo48b2o363bobo$75b2o118bo$74b
o9$190bo$188bobo$189b2o68bo60bobo113bo$138bobo119b2o59b2o53bo60bo$139b
2o118b2o60bo52bobo58b3o$17bo121bo235b2o124bo$18b2o68bo234bobo120bo53bo
4bobo52bo$17b2o69bobo232b2o119b2o54b3o2b2o54b2o$2o86b2o169bo64bo120b2o
59bo53b2o$o59b2o2b2o16bo37b2o20bobo35b2ob2o17bo37b2ob2o14b2o39b2ob2o
57bo19bo39bo60b2o55b2o$b3o15b3o38bobo2bo15b2o37bobo20b2o36bobobo15bo
39bob2o13bobo4bo35bobo57bobo16b2o39bobo57bo2bo55bobob2o$3bo17bo40b2o
17bobo37bo3bo17bo37bobobo11bo3b3o37bo22bo36bo2bo55bo2bo17b2o38bo2bo21b
3o31bob2o16b2o40bobobo$4b2o14bo41bo59b4o54b2ob2o11bo45b3o19b3o35bobo
56b2ob2o54b2o3bo20bo33bo20b2o38b2obobo22bobo$5bo54bobo14b3o63b3o50b3o
46bo55b2ob2o57bo2bo59bo20bo33b3o16bo44bo23b2o$5bobo16b2o34b2o17bo44b2o
19bo98b2o79bo37bobo16b3o42bo56bo85bo$6b2o15bobo52bo45b2o18bo122b2o55b
2o38bo17bo41b3o56b2o$25bo3bo169bo66b2o56bobo56bo40bo80b2o59b2o$28b2o
41b2o77b2o46b2o68bo236bobo59b2o$28bobo39bobo76b2o47bobo121bo182bo60bo$
72bo78bo170b2o66b3o59b2o$321bobo66bo61bobo$391bo60bo5$562bo$199bo362b
2o$200bo118b2o3bo236bobo$180b2o16b3o39b2o34bo25b2o14bobo2b2o$180bo3bo
55bobo23bo8bo24bo2bo16bo2bobo$181b4o57bo2b2o13b2o2bobo8b3o22b3o201bo$
208bobo31bobobo12bobo3b2o236bo$21bobo157b2o26b2o30b2ob2o15bo6b3o29b3o
200b3o$22b2o156bo2bo25bo60bo29bo2bo139bo113bo$22bo158b2o24bo61bo31bobo
139bobo112b2o$207b2o93bo140b2o4bo107b2o$27bobo111bo64bobo239b2o48bo3bo
$2o3b2o20b2o57bo52bobo299bo6bobo48bo3b2o$obobobo21bo31b2o3bo20bobo31b
2o18b2o2bobo214b2o58bobo18b2o36b2obo13b3o2b2o36b2o20bo$2bobo55bobobobo
19b2o32bobo21b2o214bo2bo16bo39bob4o15b2o38bob3o54b2o21bo$b2ob2o56bobob
o15bo39bo22bo214b2obo15bo40bo5bo54bo4bo57bo16b3o$20b2o39b2ob2o17bo37b
2ob2o13b2o222b2o14b3o39b3obo56b3obo11bo41b5o$19bobo59b3o40bobo13b2o69b
3o146b2o2bo58b2o59b2o12b2o40bo$21bo3bo98bobo12bo5b3o63bo148bob2o13b2o
118bobo43b2o16b2o$24b2o99bo19bo66bo163bobo64b3o97b2o15b2o$24bobo119bo
231bo64bo113bo4bo$77b2o3bo361bo112b2o$76bobo2b2o473bobo$78bo2bobo$378b
2o$377b2o$342b3o34bo$309b2o31bo41bo$308bobo32bo39b2o$310bo72bobo3$336b
o$335bo$335b3o2$196bo$70bobo124bo$71b2o122b3o127bo$71bo254bo57bo$151bo
118bo53b3o57bobo$151bobo109bo5bo107bo6b2o$131bo19b2o111b2o3b3o106b2o$b
2o58b2o23bo33b2o10bo47b2o3b2o76b2o60b2o50b2o43b2o58b2o73bo9bo$o2bob2o
19bo4bo28bobo18bo2bobo33bobob2o4b3o47bobobo2bo52b2o5b2o52b2obo19b2o34b
2o2bo56bo2bo12bobo41bo2bo9bo4b2o39b2o16b2o7bobo$bobobobo19b2o2bobo26bo
5b2o13b2o2b2o35bobobo55bobobo53bo7bo51bo2b2o21bo33bo2bobo55b2obo13b2o
42bo2bo9b2o2bobo38bobob2o11b2o8b2o$2b2obobo18b2o3b2o28b4o2bo12bobo38b
2obo2bo54bo2bo20bo34b3ob3o52b2o59b3obo15b2o41b2o12bo42b2ob2o8b2o3bo42b
obobo$6bo56bob2o58b2o12bo41b2o21bobo36bobo20b2o34b3o59bo11b2o3bobo36bo
b2o58bo59bo2bo$139b2o2b2o60b2o37bo20bobo34bo2bo20b3o32b3o13b2o2bo38b2o
bo13b3o40bobo10bo46bobo$39bo98bobo2bobo121bo2b3o30b2o23bo32bo14bo62bo
9b2o29b2o11b2o45b2o11bo$38b2o51b2o50bo63b2o61bo56bo110bo10bobo40bobo
58b2o$38bobo50bobo114b2o61bo177bo102bobo2b2o$91bo115bo295b2o52bobo$
503bobo51bo$453b2o48bo$453bobo$23bo429bo$23b2o182b2o$22bobo181b2o$208b
o7$88bo172bo$88bobo171bo$88b2o118bo51b3o$81bobo123bo120bo$17bo64b2o
123b3o116b2o177bo$18b2o62bo3bo240b2o176bobo$17b2o67bobo51bo127bo236b2o
$2o27bo31b2o23b2o33b2o15bobo39b2o78b3o5bobo29b2ob2o134bo$o26b2o31bo2bo
57bobob2o12b2o39bobo57b2ob2o17bo5b2o30b2obobo13bobo40b2o13bo2bobo57bo$
b3ob2o12b3o6b2o31b2o2b2o6b2o48bob2o55bo56bobobobo15bo41bobo14b2o39bo2b
o10bobo2b2o39b2o15b3o39b2o3b2o55b2o$3bobobo13bo41b2o2bo6b2o47bo57b2ob
2o13b2o38bobobobo54b2o2bo15bo40bob2o11b2o3bo38bo2bo56bobobobo16bobo35b
o2bo$5bobo12bo42bo2bo6bo47bobo15bo4b2o37bo2bo11bobo39b2ob2o55bob2o56b
2o59b3o58bobo19b2o35b4o$5b2o57b2o54bobo17b2o2bobo36bo2bo13bo4bobo153bo
b2o76bobo38bobo19bo$121bo17b2o3bo39b2o19b2o110bobo41bo2bo56b3o17b2o38b
2ob2o55b2o28bo$206bo54b2o55b2o42b2o56bo3bo12b2o3bo4b2o56b2o33bo2bo25bo
bo$26b3o173b2o56bobo55bo101b2ob2o13b2o6b2o56bobo33bo2bo26b2o2bobo$26bo
174b2o59bo112b3o6bo52bo10bo57bo4b2o28b2o31b2o$27bo175bo111b3o59bo5b2o
125b2o63bo$143b3o171bo58bo6bobo126bo54b2o$145bo170bo250bobo$144bo422bo
4$566bo$566b2o$84bo480bobo$83bo$83b3o$447bobo$81bo366b2o$82b2o227bo
136bo52bo$81b2o3b2o59bobo162b2o78bo109b2o$85b2o60b2o113bo48b2o66bo11bo
109b2o$62b2o23bo60bo111bobo115bo12b3o$60bo2bo197b2o59bo55b3o$60b3o81bo
175b2o$142bobo59bo35b2o57b2o2b2o16b2o36b2o3b2o54bo31bobo44b2o39b2o$18b
o41b3o80b2o35b2o3bo12b3obobo34bo2bo23bobo30bo4bo11bobo40bobobobo11b2o
40bobob2o28b2o24b2o17bobo2bobo33bo2bo$2b2o15bo40bo2bo61b2o53bo2b3o14bo
2b2o35b3o23b2o32b4o13b2o41b2obo12bobo40bobobobo22b3o2bo25bobo18bo2b2o
35b3o$bobo2b2o9b3o41bo2bo56b2o2bobo53b2o16bo43b2o18bo3bo49bo45bo14bo2b
2o37b2obo2bo23bo30bo22bo49b2o5b3o$o2bobobo54b2o56bo2bobo2bo53bob2o22b
2o30b2obo17bobo38b2o59bobo15bobo40bobo22bo29bo2b2o58b3o8bobo5bo$obo2bo
12bo102bobo2b2o54bo2bo21b2o31bo2bo18b2o37bo2bo59b2o15bo43bo29b2o22b2ob
o58bo3bo9bo6bo$bo3b2o11b2o102b2o59b2o16b2o6bo31b2o59b2o150b2o26bo58b2o
b2o$17bobo6bo117b2o56b2o68b3o181bo25bobo80bo$25b2o117bobo54bo70bo210b
2o13b2o64b2o$25bobo116bo128bo38bo186b2o63bobo$312b2o184bo$140bo170bobo
248bo$23b2o51b3o61b2o420b2o$22b2o54bo60bobo419bobo$24bo52bo5$452bo$
451bo$451b3o3$199bobo359bobo$200b2o359b2o$19bobo119bo58bo174bo186bo$
20b2o117bobo231bobo$20bo57bobo59b2o60bobo169b2o61bo3bo116bobo$79b2o
121b2o234b2obobo115b2o$79bo68bobo2bo49bo37b2o57b2o83bo40b2o9b2o2b2o41b
2o73bo$b2o58b2o26bobo29bo3b2o22b2o2bobo23b2ob2o56bo2bo10bo17bo27bobob
2o53b2o3b2o15bo2bo35b2o3bo2bo54bo2bo21bobo28b2ob2o$o2bo56bo2bob2o22b2o
29bobobobo22bo3b2o24bo3bo55bo2bo12b2o16b2o27bob2o53bobobo2bo12bobo2b3o
33bobo2bob2o54bob2o21b2o29bo3bo$bo2bo55bo2bobobo14b2o6bo28bo2bobo55b3o
56b3o12b2o16b2o27b2o20bo36b2obob2o13b2o39bobobo55b2o2bo23bo30b3o$2b3o
56b2o3bo14b2o37b2o2bo125b2o50bob2o15bobo39bobo56bo2bo54bo4bo20bo$63b3o
17bo40bobo53b3o56b3o9b2o19b2o28bo2bo16b2o39bobo57b2o55bob3o19bobo35b3o
$4b3o56bo15bo45b2o52bo3bo55bo2bo7bo22b2o28b2o59bo18b3o95b2o22b2o34bo3b
o$3bo2bo26b2o44b2o59b2o37b2ob2o56bo2bo28bo47bo64bo56b2o97b2ob2o$3b2o
27b2o44bobo58bobo57bo41b2o77b2o62bo56b2o72b3o47bo$34bo106bo57b2o118bob
o6bo114bo71bo48b2o$30b2o166bobo126bo172b3o13bo47bobo$29bobo295b3o172bo
$31bo170bo116b2o180bo60bo$23b2o176b2o115bobo241b2o$22bobo176bobo116bo
240bobo$24bo5$17bo$15bobo$16b2o4$139bo296bo73bo$17bo2bobo114bobo184bo
112bo73b2o46bo$15bobo2b2o68bo47b2o183bo111b3o72b2o48b2o$5bo10b2o3bo69b
2o55bobo172b3o54bo3bo174b2o$2o2bobo83b2o7bobo20bob2o22b2o32b2o58b2o55b
2o58b2o3b2o12bobo3bobo33b2o57b2o$o3bo2bo56bo21b2o11b2o19b3obobo18bo3bo
30b3obo27bo29bobo15bo39bo58bobobobo13b2o3b2o33bo2bo56b2o59b2o3b2o$b3ob
2o57b3o20b2o11bo18bo3bo2bo12bo5b2o32bo4bo25b2o32bo16bo38bob2o57bobo56b
2o61b2o54bo2bobo2bo$3bo58b2o3bo18bo32bobobobo13b2o3bobo32bobobob2o24b
2o31bob2o11b3o5b2o30b2ob2o12bo44bobo115b5obo26b2o25b2obobob2o$4b3o54bo
bobobo52b2ob2o13bobo39b2obo2bo54b2obob2o18b2o31bo17b2o40bobobobo13b2o
3b2o34b4o55bo5bo25bobo28bobo$6bo53bo2bob2o117b2o29b2o23bo2bo18bo5bo31b
4o12b2o3bo37b2o3b2o12bobo3bobo32bo4bo16bo38bob3o22b2o4bo28bobo$60bobo
27b2o109b2o11b2o23bo2bo19b2o39bo17b2o57bo3bo35b4o15bobo39b2o25b2o6b2o
23b2ob2o$61bo27bobo108bobo13bo23b2o19bobo36b3o17bobo117b2o2bo62bo7b2o
47bobo$20b2o69bo110bo97bo121b2o20bobo70bo46b2o$21b2o190b2o207b2o20b2o
119bo$20bo191bobo$214bo109b3o234b3o$256bo67bo112bo125bo$256b2o67bo111b
2o123bo$255bobo178bobo126b2o$564b2o$566bo!

4G turned out to be the cheapest. Average costing of 4G less than 0.3 glider/bit. To compare the cost of 2G, 3G and 5G average costing approximately 0.33 glider/bit. Others even more.

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Re: 4 glider syntheses

Postby Extrementhusiast » July 26th, 2015, 6:21 pm

BobShemyakin wrote:At this stage of the research 4G synthesis has been completed.


You missed this one that I just found:
x = 32, y = 11, rule = B3/S23
bo$2bo$3o$13bo10b2o$3bo9bobo8bo5b2o$3b2o8b2o10b3obobo$2bobo22bobo$27bo
2bo$7bo20bobo$7b2o20bo$6bobo!
I Like My Heisenburps! (and others)
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Re: 4 glider syntheses

Postby BobShemyakin » July 28th, 2015, 1:42 pm

Thank you! I think I missed a lot more. I finished shelling the 2G (all 71) of 2 other gliders of the near zone (from a distance of up to 8 cells). I think now the results will appear less frequently. Therefore, the published table. And she immediately became obsolete.

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Re: 4 glider syntheses

Postby A for awesome » July 29th, 2015, 10:35 am

Well, here's a different 4G synthesis for the elevener with tub:
x = 14, y = 13, rule = B3/S23
2bo$obo$b2o6$7b2o$8b2o$2o5bo3b2o$b2o8bobo$o10bo!

I'm not sure if the component is new.
If the if becomes the the and the the becomes the becomes, and will become will and become will become if. Now, the I say something will I use becomes wrong words, it ifs something like this.

http://conwaylife.com/wiki/A_for_all

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Re: 4 glider syntheses

Postby BobShemyakin » July 29th, 2015, 1:52 pm

A for awesome wrote:Well, here's a different 4G synthesis for the elevener with tub:
x = 14, y = 13, rule = B3/S23
2bo$obo$b2o6$7b2o$8b2o$2o5bo3b2o$b2o8bobo$o10bo!

I'm not sure if the component is new.

See table 4G 8 position 6 string (12.109).

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Re: 4 glider syntheses

Postby A for awesome » July 29th, 2015, 2:26 pm

BobShemyakin wrote:
A for awesome wrote:Well, here's a different 4G synthesis for the elevener with tub:
x = 14, y = 13, rule = B3/S23
2bo$obo$b2o6$7b2o$8b2o$2o5bo3b2o$b2o8bobo$o10bo!

I'm not sure if the component is new.

See table 4G 8 position 6 string (12.109).

Bob Shemyakin

Yes, I saw. I just didn't know where else to post this.
If the if becomes the the and the the becomes the becomes, and will become will and become will become if. Now, the I say something will I use becomes wrong words, it ifs something like this.

http://conwaylife.com/wiki/A_for_all

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Re: 4 glider syntheses

Postby BobShemyakin » August 31st, 2015, 4:16 am

4G Table (3osc & 161still):
#C Collection of still-lifes and oscillators which can be synthesized
#C from 4 gliders.
#C The collection is based on the file У2, 3, and 4-glider synthesesФ
#C by Dean Hickerson,  4/29/2007
#C Only one synthesis is shown for each one, even if several are known.
#C Numbering taken from Mark D. Niemiec's Life Page
#C (http://home.interserv.com/~mniemiec/lifepage.htm ).
#C
#C 4-glider syntheses
#C oscillators
#C               clock (period 2)
#C               Spark_coil (period 2)
#C               figure 8 (period 8)
#C
#C still
#C  1 row:     6.1,    6.4,    7.1,    8.1,    8.3,    8.5,    8.6,    8.8,    8.9,    9.3
#C  2 row:     9.4,    9.5,    9.6,    9.7,    9.9,   10.2,   10.4,   10.5,   10.7,   10.9
#C  3 row:    10.11,  10.17,  10.18,  10.20,  10.21,  10.23,  10.24,  10.25,  11.1,   11.2
#C  4 row:    11.4    11.5,   11.11,  11.17,  11.25,  11.30,  11.33,  11.35,  11.36,  11.37
#C  5 row:    11.38,  11.43,  11.46,  12.1,   12.3,   12.6,   12.7,   12.18,  12.25,  12.27
#C  6 row:    12.28,  12.29,  12.66,  12.85,  12.104, 12.107, 12.108, 12.109, 12.111, 12.112
#C  7 row:    12.113, 12.114, 13.9,   13.11,  13.26,  13.32,  13.33,  13.35,  13.36,  13.71
#C  8 row:    13.95,  13.171, 13.173, 13.198, 13.209, 13.218, 13.224, 13.230, 14.5,   14.11
#C  9 row:    14.13,  14.15,  14.32,  14.36,  14.39,  14.50,  14.55,  14.87,  14.89,  14.95
#C 10 row:    14.176, 14.189, 14.363, 14.433, 14.502, 14.507, 14.520, 14.526, 14.573, 14.589
#C 11 row:    14.590, 14.591, 14.595, 14.610, 14.612, 15.13,  15.76,  15.78,  15.94,  15.106
#C 12 row:    15.114, 15.125, 15.151, 15.173, 15.243, 15.356, 15.360, 15.370, 15.438, 15.462
#C 13 row:    15.551, 15.601, 15.856, 15.903, 16.7,   16.122, 16.129, 16.135, 16.137, 16.164
#C 14 row:    16.165, 16.175, 16.244, 16.624, 16.644, 16.737, 16.758, 16.874, 16.1123,16.1942
#C 15 row:    16.2041,17.1296,17.1572,17.4186,18.287, 18.355, 18.1814,18.2403,18.2914,18.6269
#C 16 row:    18.6707,18.7007,18.7029,19.398, 19.3146,19.30501,20.703,20.5320,20.8995,20.22629
#C 17 row:    22.16554
#C
#C Bob Shemyakin 8/27/2015
#C
x = 578, y = 580, rule = B3/S23
81bo$82bo$80b3o2$84bo56bo$83bo58b2o$83b3o55b2o6bo$24bo124bobo$bo17bobo
2bobo33b2ob2o55b2o27b2o$bobo16b2o2b2o34bo3bo55b2obo$obo17bo40b3o60bo$
2bo12b2o104bo$16b2o9b3o92bob2o$15bo11bo33b3o60b2o$28bo31bo3bo$60b2ob2o
67b2o$131bobo$79b3o51bo$81bo$80bo$136b3o$82b3o53bo$82bo54bo$83bo48$
377bobo$378b2o$378bo$205bo$203b2o$143bo52bo7b2o$142bo54bo$25bo116b3o
50b3o187bobo2bo$23b2o54bobo122b2o180b2o2bobo$24b2o54b2o57bo63b2o181bo
3b2o106bo$21bo58bo56bobo65bo56bo236bo$19bobo116b2o56bo63b2o175bobo6bo
50b3o57bo5bo$ob2o16b2o38b2o22bo35b2o58b2o14b2o42b2o14bo4b2o37b2o14bo
43b2o58b2o16b2o6bobo31b2o58b2o16b2o2bo$2obo56bo2bo19bo36bobobo55bo2b2o
10bobo42bobo14b2o42bo12bobo2bobo38bobo58bo16bo3b2o2b2o32bobo57bobo14b
2o3b3o$62b2o12b2o5b3o37b2o56b2obo56bobo12b2o42bo14b2o2b2o42bobo55bobo
17bobo39bo21bo37bo$22b2o53b2o163b2o57b3o16bo43b2o56bobo18bo40bo20bobo
36bo$23b2o2b2o47bo10bo58b3o104bo49bo119bo59b2o20b2o38bo12b2o$22bo3b2o
58b2o48b2o8bo106b2o6b3o120b3o58b2o52b3o7bo34b2o13b2o$28bo57bobo46bobo
9bo104bobo6bo124bo57b2o55bo6b2o48bo$137bo124bo49b3o12b2o56bo60bo53bo7b
obo$314bo12bobo239bo$313bo13bo240b2o$568bobo13$147bo49bo$146bo51b2o65b
o241bo$76bobo67b3o48b2o64b2o47bo139bo54bobo$77b2o61bo123b2o47b2o63bo
71b2o43bo11b2o$77bo63bo170b2o62bobo68bo3b2o43bo$139b3o57bo3bo57bo56bo
58b2o67b2o46b3o62bo$200bo2bobo50b3o3b2o52b2o69bo53bobo2bobo111bo$2o16b
o41b2o58b2o58b2o2b2o12b3o2b2o35bob2o14bo2b2o37b2o15b2o41b2ob2o20b2o33b
2o20b2o36b2o58b2ob2o13b3o5bo$obo16b2o39bobo58bo58bobo2bo54b2o2bo12bo
42bobo58bobo22b2o33bo20bo38bo58bob2o2bo20bo$2bo15b2o4bobo34bobo57bob2o
17bo40b2o58bobo55bobo56bo2bo17b2o38bobo57bob2o60b2o18b3o$2bobo19b2o37b
o19bobo36bobo18b2o99bo14b3o40bobo8b2o46b2o19b2o38bobo22b2o33bo2bo83bo
3b2o$3b2o20bo37b2o18b2o38bo18b2o115bo43b2o9b2o2b2o61bo41bobo20b2o35b2o
84b2o2bobo$18b3o63bo175bo52bo4bobo103bo23bo55bo63bobo2bo$20bo124b2o45b
2o124bo65b2o117b2o$19bo61b2o61b2o47b2o189bobo116bobo$80b2o64bo45bo191b
o$25b3o54bo418bo$25bo49b2o424b2o$26bo47bobo423bobo$76bo8$202bo$200bobo
298bobo$201b2o299b2o$258bobo117bobo8bo112bo$206bo52b2o118b2o7bo$135bo
68b2o53bo119bo8b3o$17bo118bo68b2o62bobo46bo$18bo115b3o6bo125b2o48bo
117bo118bobo$16b3o124bobo62b2o60bo46b3o118bo65bobo2bo47b2o$143b2o62b2o
227b3o5bo60b2o2bobo45bo$2o58b2o13bo2bobo39b2o58b2o27bo30b2o58bob2o13bo
8bo34bo22b2o34b2ob2o19bobo33b2o23bo3b2o29b2o$obo57bobo10bobo2b2o40bo2b
o56bo59bobo2b2o53b2o2bo12b2o7bobo31bobo16b3o2bobo33b2obo20b2o34bobo57b
obo$3bo16bo41bo11b2o3bo41b2obo16b3o37bo2b2o57bo2bo6b2o3bo44bobo10bobo
7b2o33b2o18bo2bo38bo11b2o44bobo57bobo$4bo16bo40bobo59bo11b3o2bo40bo2bo
58b2o6bobo2b2o45b2o57b2o15bo42b2o9bobo45bobo57bobo$5bo13b3o41bobo58b2o
12bo3bo40b2o69bo2bobo103bobo70bo46bobo58bo17bo$6bo57bo72bo59b3o164bo
76bo42bo59b2o14b2o$5b2o79b2o111bo240b2o119b2o$21b2o63bobo109bo241bobo$
22b2o4b2o48bo7bo416b3o58b2o$21bo6bobo47b2o236b3o186bo58bobo$28bo48bobo
238bo185bo59bo4b3o$317bo251bo$570bo8$361bo$360bobo17bo2bobo$145bo214bo
2bo14bobo2b2o181bo$21bo118bobo2bobo213bobo15b2o3bo179b2o$19b2o119b2o3b
2o213b2ob2o90bobo107b2o$20b2o119bo59bo253b2o$10bo191bo253bo$8bobo127bo
61b3o$9b2o10b3o115b2o9bo109bo55bo125bobo56bobo$21bo73bo42b2o8b2o108bob
o56b2o124b2o56b2o63b2o$2o20bo37b2o31b2o25b2o27b2o29b2o58b2o17b2o39b2o
14b2o3bo98b2o21bo3bo32b2o20bo37b2ob2o11bobo7bobo$bo59bo2bo29b2o24bobo
58bo2b2o54bobo57bobo18bobo96bobob2o20b2o33bo59bobobo11b2o2bobo2bo$bob
2o56bobobo14b2o40bo58bobo2bo17bo38bo57b2o18b2o99bobo21bobo32bob2o56bo
2bo12bo3b2o$2bo2bo56bo2bo13bobo40bobo57bo2b2o18b2o37bo17b2o39b2o117bob
o14b2o39b2obobo14b2o38b2o20bo$3bobo57b2o16bo3bo37bobo78b2o36bobo17bobo
38bobo117bo16b2o42bo15bobo3bo$4bo79b2o38b2o72b2o8bobo30bobo13bobo2bo
41bo134bo56bo3bo4b2o$84bobo112b2o7b2o32bo15b2o57b2o178b2o6bobo$198bo
10bo48bo57bobo177b2o$12b2o241b2o61bo$11bobo240bobo$13bo242bo$91bo$90b
2o309b2o$90bobo308bobo$323b3o75bo$323bo$324bo2$362b3o$252bo111bo$185bo
64bobo110bo$184bobo54bo9b2o$183bobo54bobo$182bobo56b2o$181bobo59b2o$
145bo34bobo60bobo323bobo$146bo34bo62bobo135bobo184b2o$17bobo124b3o98bo
136b2o186bo$18b2o181b2o180bo116bo$18bo3bo60bobo114b2o235bobo61bo51bobo
$2o20bobo36b2o21b2o34b2o23b3o49bo4bo97b2o59bo58b2o16b2o40b2ob2o14b3o
38b2ob2o9b2o$obo19b2o36bo2bo20bo35bobo24bo50b2o6b3o91bobo57bobo2b2o18b
o35bo2bo13bo10bo31bobo22bo33b2obobo8bo$2bo57bobobo15bo42bo22bo50b2o7bo
94b2o58b2o3bo8bo3bobo2b2o35bobobo21b2o32bobo21bo37bobo$2b3o56bo2bo15b
2o4bobo32b2o84bo95b2o15bo42b3o9b2o3b2o2bobo33b2obobo22b2o30b2ob2o20b3o
35b2o11b2o$5bo56b2o15bobo4b2o8bo24bo181bobo10bo2bo43bo10bobo3bo43bo19b
2o111b2o$4b2o22bo58bo7b2o26bo137bo42b2o8bobo2b3o121b2o111bo$27b2o66bob
o24b2o138bo52b2o128bo52bo8b2o$27bobo230b3o235b2o7bobo$144bo287b3o62bob
o7bo$24b2o118b2o108bo8b2o169bo133b2o$25b2o116bobo106bobo8bobo55b3o109b
o134bobo$24bo189b2o37b2o8bo57bo246bo$213b2o98b3o6bo$215bo99bo$314bo3$
136b3o$138bo$137bo2$212bo$210b2o$211b2o171bo$331bo40bobo10b2o114bobo2b
2o$329b2o42b2o9b2o116b2o2bobo$82bo247b2o41bo128bo3bo$82bobo302b3o$77bo
bo2b2o68bo236bo$21bo56b2o71bo55bo180bo178bobo$2o20bo3bobo31b2ob2o13bo
41b2o29b3o26b2o3b2o21bo32b2o59b2o56bo2bo56b2o11bo11bo34b2ob2o13b3o40bo
25b2o$obob2o14b3o4b2o31b2obo27bo29bo59bo4bo19b3o2b2o27bo2bo15bo42bo2bo
54b4o56bobo8bobo9b2o35b2obo16bo39bobob2o14bo7bo$2bob2o21bo35bo26b2o29b
ob2o15b2o39bob3o24bobo28b2obo15bo39b2o2b2o58b2o56bo9b2o10b2o37bo15bo
40bobobo16b2o$2bo60bobo24bobo29bo2bo13bobo40b2o28bo30bobo12b3o39bo27bo
33bo2bo25b2o29b3o15b2o38b3o58bo2bo15b2o$b2o23b3o35b2o57bo2bo14bo3bo97b
obo56bo24b2o33b2o27bobo31bo13bobo38bo61b2o$28bo45b2o48b2o18b2o98bo56b
2o20b2o2bobo61bo32bobo14bo$27bo45bobo68bobo50b2o61b2o60bobo100bo134b2o
$75bo120bobo55bo4bobo62bo122b2o112b2o5b3o$18b3o128b3o46bo55b2o5bo185bo
bo42b2o66bo7bo$20bo128bo103bobo59bo131bo45b2o74bo$19bo130bo164b2o175bo
$265b3o46bobo$265bo$266bo9$575bo$575bobo$24bobo102bo320bo121bo2b2o$25b
2o103bo252bo64b2o120bobo$25bo102b3o127bo122b2o66b2o120b2o$27bo61bobo
164bobo3bo59bobo57b2o182b2o$27b2o60b2o166b2o4b2o58b2o2bobo166bo68bobo$
26bobo61bo171b2o59bo3b2o167b2o3bo65bo$2o59bobo56bob2o56b2o58b2o59b2o
25bo32b2ob2o16b2o36b2o58b2o13bobob2o43b2o26bo$o2bo57b2obo55b2o2bo55bob
o2b2o54bo2bo21bobo31bobo20bo36bobobobo8b2o4b2o37bobob2o54bobo17b2o41bo
2bo24b2o$b2obo59bo58b2o56b2o3bo19bo34bobobo15b3o2b2o32bobob2o16b2o36bo
bo2bo10b2o5bo38bobobo55bo2bo57bobo25bobo$4bo56b3o61b2o56b3o19bo34b2obo
2bo14bo5bo33b2obobo15bobo36b2o12bo46bo2bo15bobo38bobobo57bo$b3o56bo20b
o43bobo55bo21b3o36b2o16bo42bo11bo103b2o19b2o37b2ob2o14b2o4b3o32b3o$bo
58b2o20b2o42bo12bo59bo117b2o123bo56b2o5bo33bo$18b2o61b2o3bo52bobo58b2o
114bobo182bo5bo32b2o$19b2o65b2o51b2o58b2o187b2o$18bo66bobo115bo184bobo
$136b3o8b2o54b2o9bo173bo$14b2o122bo7b2o54bobo8b2o$13bobo121bo10bo64bob
o223b3o$15bo425bo$440bo3b2o$93b2o349bobo$93bobo348bo$93bo5$83bo66bo$
83bobo62b2o105bo$83b2o64b2o48bo56b2o304bo$21bo175b2o56b2o303b2o$22b2o
174b2o181bobo177b2o$21b2o59b3o4b3o46bo2bobo237b2o175bo$76b2o6bo4bo46bo
bo2b2o239bo57bo115bobo$75bobo5bo6bo46b2o3bo54bobo241bo115b2o8bobo$77bo
120b2o62bo176b3o73bo51b2o$2o58b2o3b2o56bo56b2o16bo42bo19bo39b2o57b2o
60b2o57b2o30b2o26b2o25bo$bo58bobobobo55bobo56bo17bo40bobo18b3o36bo2bo
22bo33bo2b2o56bo2bo55bo2bo24bobo3b2o24bo2bo$bobo16b2o40bobo56bo2bo55bo
18b2o39bobo57b2obo22bobo32bobobo22bo32b2obo12bo7bobo32bobobo24b2o30b3o
12bo$2bobo16b2o39bobo56bobo56b4o14bobo40bob2o56bob2o21b2o32b2obobo21b
2o33bob2o9bobo7b2o34bobobo23bo34b2o10b2o$3bobo14bo3b2o37bo56b2obobo58b
o58bo20b2o35bo20bo41bo18b2o2bobo30bo15b2o8bo35bo2bo26b2o29bo2bo8bobo$
4bobo17bobo97b2o56bobo58bobo14bo2b2o35b2o19b2o59bobo35b2o61b2o28b2o28b
obo$5b2o17bo114b2o41b2o60b2o15bo3bo51bo3bobo60bo55b2o65bo4bo31bo$140b
2o117b3o49b3o4b2o119bobo65b2o$139bo57bo115bo3b2o72b2o48bo64bobo$197b2o
113bo77b2o$196bobo193bo$32b3o$32bo$33bo7$439bo$440bo$438b3o2$264bo$
265b2o56bo117bobo7bo$74bo189b2o58bo116b2o7b2o$75bo246b3o117bo7bobo111b
o$21bo51b3o191bobo294b2o$22b2o3bo115bo123b2o294bobo$bo19b2o2b2o34b2o
58bo19b2o38b2o16bo5bo35b2o25bo32b2o58b2ob2o20bo34b2o16b3o38b2o2b2o13bo
bo2bobo35b2ob2o$obob2o20b2o32bo2bo56bobo19b2o36bo2bo13bobo3b2o35bobo2b
2o53bobo2bo18bo35bobobobo17b2o36bo2b2o14bo38bo4bo14b2o2b2o36bo3bo11bo
7b2o$obobobo54b3o56bo2bob2o19b2o32b2obo14b2o4b2o34bo5bo53bobobobo18bo
34bobobobo11bobo4b2o33bobobobo13bo40b4o15bo4bo38b2o13b2o5bobo$b2obobo
12b2o64bo35bobobo19b2o36bob2o54b5o10b3o42b2obobo16b3o35bo3bo13b2o39b2o
2bo115b4o14b2o6bo$5bo14b2o2b2o37b3o15bo2bo37bo2bo21bo35bo2bo56bo14bo5b
2o39bo73bo44b2o55b2o17bo39bo2bo$19bo3b2o38bo2bo12bobo2b3o36b2o16b2o41b
2o18b2o51bo5b2o65b3o148b2o17b2o$25bo38b2o14b2o60b2o59b2o60bo57b2o5bo
168bobo$141bo63bo116b2o7bo47bo3bo120b2o$146b2o176bo54b2ob2o120bobo55bo
$145b2o48b2o181bobobobo119bo56b2o$74b2o71bo48b2o363bobo$75b2o118bo$74b
o9$190bo$188bobo$189b2o68bo60bobo113bo$138bobo119b2o59b2o53bo60bo$139b
2o118b2o60bo52bobo58b3o$17bo121bo235b2o124bo$18b2o68bo234bobo120bo53bo
4bobo52bo$17b2o69bobo232b2o119b2o54b3o2b2o54b2o$2o86b2o169bo64bo120b2o
59bo53b2o$o59b2o2b2o16bo37b2o20bobo35b2ob2o17bo37b2ob2o14b2o39b2ob2o
57bo19bo39bo60b2o55b2o$b3o15b3o38bobo2bo15b2o37bobo20b2o36bobobo15bo
39bob2o13bobo4bo35bobo57bobo16b2o39bobo57bo2bo55bobob2o$3bo17bo40b2o
17bobo37bo3bo17bo37bobobo11bo3b3o37bo22bo36bo2bo55bo2bo17b2o38bo2bo21b
3o31bob2o16b2o40bobobo$4b2o14bo41bo59b4o54b2ob2o11bo45b3o19b3o35bobo
56b2ob2o54b2o3bo20bo33bo20b2o38b2obobo22bobo$5bo54bobo14b3o63b3o50b3o
46bo55b2ob2o57bo2bo59bo20bo33b3o16bo44bo23b2o$5bobo16b2o34b2o17bo44b2o
19bo98b2o79bo37bobo16b3o42bo56bo85bo$6b2o15bobo52bo45b2o18bo122b2o55b
2o38bo17bo41b3o56b2o$25bo3bo169bo66b2o56bobo56bo40bo80b2o59b2o$28b2o
41b2o77b2o46b2o68bo236bobo59b2o$28bobo39bobo76b2o47bobo121bo182bo60bo$
72bo78bo170b2o66b3o59b2o$321bobo66bo61bobo$391bo60bo5$562bo$199bo362b
2o$200bo118b2o3bo236bobo$180b2o16b3o39b2o34bo25b2o14bobo2b2o$180bo3bo
55bobo23bo8bo24bo2bo16bo2bobo$181b4o57bo2b2o13b2o2bobo8b3o22b3o201bo$
208bobo31bobobo12bobo3b2o236bo$21bobo157b2o26b2o30b2ob2o15bo6b3o29b3o
200b3o$22b2o156bo2bo25bo60bo29bo2bo139bo113bo$22bo158b2o24bo61bo31bobo
139bobo112b2o$207b2o93bo140b2o4bo107b2o$27bobo111bo64bobo239b2o48bo3bo
$2o3b2o20b2o57bo52bobo299bo6bobo48bo3b2o$obobobo21bo31b2o3bo20bobo31b
2o18b2o2bobo214b2o58bobo18b2o36b2obo13b3o2b2o36b2o20bo$2bobo55bobobobo
19b2o32bobo21b2o214bo2bo16bo39bob4o15b2o38bob3o54b2o21bo$b2ob2o56bobob
o15bo39bo22bo214b2obo15bo40bo5bo54bo4bo57bo16b3o$20b2o39b2ob2o17bo37b
2ob2o13b2o222b2o14b3o39b3obo56b3obo11bo41b5o$19bobo59b3o40bobo13b2o69b
3o146b2o2bo58b2o59b2o12b2o40bo$21bo3bo98bobo12bo5b3o63bo148bob2o13b2o
118bobo43b2o16b2o$24b2o99bo19bo66bo163bobo64b3o97b2o15b2o$24bobo119bo
231bo64bo113bo4bo$77b2o3bo361bo112b2o$76bobo2b2o473bobo$78bo2bobo$378b
2o$377b2o$342b3o34bo$309b2o31bo41bo$308bobo32bo39b2o$310bo72bobo3$336b
o$335bo$335b3o2$196bo$70bobo124bo$71b2o122b3o127bo$71bo254bo57bo$151bo
118bo53b3o57bobo$151bobo109bo5bo107bo6b2o$131bo19b2o111b2o3b3o106b2o$b
2o58b2o23bo33b2o10bo47b2o3b2o76b2o60b2o50b2o43b2o58b2o73bo9bo$o2bob2o
19bo4bo28bobo18bo2bobo33bobob2o4b3o47bobobo2bo52b2o5b2o52b2obo19b2o34b
2o2bo56bo2bo12bobo41bo2bo9bo4b2o39b2o16b2o7bobo$bobobobo19b2o2bobo26bo
5b2o13b2o2b2o35bobobo55bobobo53bo7bo51bo2b2o21bo33bo2bobo55b2obo13b2o
42bo2bo9b2o2bobo38bobob2o11b2o8b2o$2b2obobo18b2o3b2o28b4o2bo12bobo38b
2obo2bo54bo2bo20bo34b3ob3o52b2o59b3obo15b2o41b2o12bo42b2ob2o8b2o3bo42b
obobo$6bo56bob2o58b2o12bo41b2o21bobo36bobo20b2o34b3o59bo11b2o3bobo36bo
b2o58bo59bo2bo$139b2o2b2o60b2o37bo20bobo34bo2bo20b3o32b3o13b2o2bo38b2o
bo13b3o40bobo10bo46bobo$39bo98bobo2bobo121bo2b3o30b2o23bo32bo14bo62bo
9b2o29b2o11b2o45b2o11bo$38b2o51b2o50bo63b2o61bo56bo110bo10bobo40bobo
58b2o$38bobo50bobo114b2o61bo177bo102bobo2b2o$91bo115bo295b2o52bobo$
503bobo51bo$453b2o48bo$453bobo$23bo429bo$23b2o182b2o$22bobo181b2o$208b
o7$88bo172bo$88bobo171bo$88b2o118bo51b3o$81bobo123bo120bo$17bo64b2o
123b3o116b2o177bo$18b2o62bo3bo240b2o176bobo$17b2o67bobo51bo127bo236b2o
$2o27bo31b2o23b2o33b2o15bobo39b2o78b3o5bobo29b2ob2o134bo$o26b2o31bo2bo
57bobob2o12b2o39bobo57b2ob2o17bo5b2o30b2obobo13bobo40b2o13bo2bobo57bo$
b3ob2o12b3o6b2o31b2o2b2o6b2o48bob2o55bo56bobobobo15bo41bobo14b2o39bo2b
o10bobo2b2o39b2o15b3o39b2o3b2o55b2o$3bobobo13bo41b2o2bo6b2o47bo57b2ob
2o13b2o38bobobobo54b2o2bo15bo40bob2o11b2o3bo38bo2bo56bobobobo16bobo35b
o2bo$5bobo12bo42bo2bo6bo47bobo15bo4b2o37bo2bo11bobo39b2ob2o55bob2o56b
2o59b3o58bobo19b2o35b4o$5b2o57b2o54bobo17b2o2bobo36bo2bo13bo4bobo153bo
b2o76bobo38bobo19bo$121bo17b2o3bo39b2o19b2o110bobo41bo2bo56b3o17b2o38b
2ob2o55b2o28bo$206bo54b2o55b2o42b2o56bo3bo12b2o3bo4b2o56b2o33bo2bo25bo
bo$26b3o173b2o56bobo55bo101b2ob2o13b2o6b2o56bobo33bo2bo26b2o2bobo$26bo
174b2o59bo112b3o6bo52bo10bo57bo4b2o28b2o31b2o$27bo175bo111b3o59bo5b2o
125b2o63bo$143b3o171bo58bo6bobo126bo54b2o$145bo170bo250bobo$144bo422bo
4$566bo$566b2o$84bo480bobo$83bo$83b3o$447bobo$81bo366b2o$82b2o227bo
136bo52bo$81b2o3b2o59bobo162b2o78bo109b2o$85b2o60b2o113bo48b2o66bo11bo
109b2o$62b2o23bo60bo111bobo115bo12b3o$60bo2bo197b2o59bo55b3o$60b3o81bo
175b2o$142bobo59bo35b2o57b2o2b2o16b2o36b2o3b2o54bo31bobo44b2o39b2o$18b
o41b3o80b2o35b2o3bo12b3obobo34bo2bo23bobo30bo4bo11bobo40bobobobo11b2o
40bobob2o28b2o24b2o17bobo2bobo33bo2bo$2b2o15bo40bo2bo61b2o53bo2b3o14bo
2b2o35b3o23b2o32b4o13b2o41b2obo12bobo40bobobobo22b3o2bo25bobo18bo2b2o
35b3o$bobo2b2o9b3o41bo2bo56b2o2bobo53b2o16bo43b2o18bo3bo49bo45bo14bo2b
2o37b2obo2bo23bo30bo22bo49b2o5b3o$o2bobobo54b2o56bo2bobo2bo53bob2o22b
2o30b2obo17bobo38b2o59bobo15bobo40bobo22bo29bo2b2o58b3o8bobo5bo$obo2bo
12bo102bobo2b2o54bo2bo21b2o31bo2bo18b2o37bo2bo59b2o15bo43bo29b2o22b2ob
o58bo3bo9bo6bo$bo3b2o11b2o102b2o59b2o16b2o6bo31b2o59b2o150b2o26bo58b2o
b2o$17bobo6bo117b2o56b2o68b3o181bo25bobo80bo$25b2o117bobo54bo70bo210b
2o13b2o64b2o$25bobo116bo128bo38bo186b2o63bobo$312b2o184bo$140bo170bobo
248bo$23b2o51b3o61b2o420b2o$22b2o54bo60bobo419bobo$24bo52bo5$512bo$
511bo$511b3o3$259bobo$260b2o$19bobo119bo118bo174bo$20b2o117bobo291bobo
$20bo57bobo59b2o120bobo169b2o61bo3bo$79b2o181b2o234b2obobo$79bo68bobo
2bo109bo37b2o57b2o83bo40b2o9b2o2b2o41b2o$b2o58b2o26bobo29bo3b2o22b2o2b
obo83b2ob2o56bo2bo10bo17bo27bobob2o53b2o3b2o15bo2bo35b2o3bo2bo54bo2bo
21bobo$o2bo56bo2bob2o22b2o29bobobobo22bo3b2o55bo28bo3bo55bo2bo12b2o16b
2o27bob2o53bobobo2bo12bobo2b3o33bobo2bob2o54bob2o21b2o$bo2bo55bo2bobob
o14b2o6bo28bo2bobo84bo30b3o56b3o12b2o16b2o27b2o20bo36b2obob2o13b2o39bo
bobo55b2o2bo23bo$2b3o56b2o3bo14b2o37b2o2bo84b3o98b2o50bob2o15bobo39bob
o56bo2bo54bo4bo20bo$63b3o17bo40bobo59b2o10bo41b3o56b3o9b2o19b2o28bo2bo
16b2o39bobo57b2o55bob3o19bobo$4b3o56bo15bo45b2o53b2o5bo8bobo9bo30bo3bo
55bo2bo7bo22b2o28b2o59bo18b3o95b2o22b2o$3bo2bo26b2o44b2o59b2o38bobob3o
10b2o8b2o30b2ob2o56bo2bo28bo47bo64bo56b2o$3b2o27b2o44bobo58bobo40bobo
22bobo49bo41b2o77b2o62bo56b2o72b3o$34bo106bo39bo2bo74b2o118bobo6bo114b
o71bo$30b2o149bobo20bo53bobo126bo172b3o13bo$29bobo150bo20b2o182b3o172b
o$31bo171bobo56bo116b2o180bo$23b2o236b2o115bobo$22bobo236bobo116bo$24b
o7$77bo$75bobo$22bobo51b2o$22b2o$23bo175bo296bo73bo$197bobo184bo112bo
73b2o$19bobo128bo47b2o183bo111b3o72b2o$20b2o55bo2bobo68b2o55bobo172b3o
54bo3bo$20bo54bobo2b2o68b2o7bobo20bob2o22b2o32b2o58b2o55b2o58b2o3b2o
12bobo3bobo33b2o57b2o$2ob2o60bo10b2o3bo42bo21b2o11b2o19b3obobo18bo3bo
30b3obo27bo29bobo15bo39bo58bobobobo13b2o3b2o33bo2bo56b2o$o3bo55b2o2bob
o57b3o20b2o11bo18bo3bo2bo12bo5b2o32bo4bo25b2o32bo16bo38bob2o57bobo56b
2o61b2o$b3o56bo3bo2bo54b2o3bo18bo32bobobobo13b2o3bobo32bobobob2o24b2o
31bob2o11b3o5b2o30b2ob2o12bo44bobo115b5obo26b2o$61b3ob2o54bobobobo52b
2ob2o13bobo39b2obo2bo54b2obob2o18b2o31bo17b2o40bobobobo13b2o3b2o34b4o
55bo5bo25bobo$3b3o57bo56bo2bob2o117b2o29b2o23bo2bo18bo5bo31b4o12b2o3bo
37b2o3b2o12bobo3bobo32bo4bo16bo38bob3o22b2o4bo$2bo3bo57b3o53bobo27b2o
109b2o11b2o23bo2bo19b2o39bo17b2o57bo3bo35b4o15bobo39b2o25b2o6b2o$2b2ob
2o59bo54bo27bobo108bobo13bo23b2o19bobo36b3o17bobo117b2o2bo62bo7b2o$26b
o124bo110bo97bo121b2o20bobo70bo$25b2o246b2o207b2o20b2o$25bobo52b2o190b
obo$81b2o191bo109b3o$23bo56bo235bo67bo112bo$23b2o291b2o67bo111b2o$22bo
bo290bobo178bobo13$20bo$21b2o$20b2o2$b2o3b2o$o2bobo2bo$2obobob2o$3bobo
$3bobo$2b2ob2o$25bobo$25b2o$26bo2$22b3o$24bo$23bo$26b2o$25b2o$27bo!

5G Table (8osc & 212still):
#C 8 Oscillators:
#C Bipole, Quadripole, Great on off, Griddle on two blocks, Spark-coil tie boat
#C Mazing, Mold, Blocker
#C
#C 212 Still-lifes:
#C  1 row:  9.2,       9.8,     10.1,      10.6,      10.8
#C  2 row: 10.10,     10.13,    10.16,     10.19,     11.8
#C  3 row: 11.12,     11.26,    11.32,     11.34,     11.40
#C  4 row: 11.42,     11.44,    12.2,      12.5,      12.9
#C  5 row: 12.16,     12.17,    12.31,     12.35,     12.43
#C  6 row: 12.64,     12.65,    12.68,     12.71,     12.73
#C  7 row: 12.90,     12.91,    12.101,    12.102,    12.115
#C  8 row: 13.2,      13.25,    13.27,     13.37,     13.38
#C  9 row: 13.81,     13.96,    13.145,    13.153,    13.154
#C 10 row: 13.165,    13.166,   13.175,    13.183,    13.185
#C 11 row: 13.188,    13.191,   13.200,    13.201,    13.202
#C 12 row: 13.206,    13.210,   13.213,    13.217,    13.220
#C 13 row: 13.221,    13.225,   13.227,    13.238,    14.3
#C 14 row: 14.14,     14.27,    14.28,     14.37,     14.54
#C 15 row: 14.56,     14.58,    14.62,     14.63,     14.77
#C 16 row: 14.88,     14.149,   14.168,    14.170,    14.172
#C 17 row: 14.178,    14.202,   14.279,    14.281,    14.283
#C 18 row: 14.293,    14.342,   14.391,    14.443,    14.469
#C 19 row: 14.474,    14.477,   14.483,    14.540,    14.561
#C 20 row: 14.580,    14.581,   14.583,    14.585,    14.592
#C 21 row: 14.594,    14.611,   15.8,      15.10,     15.118
#C 22 row: 15.141,    15.146,   15.168,    15.170,    15.172
#C 23 row: 15.357,    15.424,   15.433,    15.434,    15.437
#C 24 row: 15.472,    15.511,   15.550,    15.558,    15.573
#C 25 row: 15.603,    15.609,   15.616,    15.630,    15.633
#C 26 row: 15.864,    15.1039,  15.1224,   16.10,     16.138
#C 27 row: 16.183,    16.256,   16.659,    16.669,    16.670
#C 28 row: 16.705,    16.720,   16.721,    16.725,    16.899
#C 29 row: 16.900,    16.1002,  16.1006,   16.1023,   16.1042
#C 30 row: 16.1093,   16.1196,  16.1289,   16.1750,   16.1751
#C 31 row: 16.1941,   16.2067,  16.2765,   17.176,    17.237
#C 32 row: 17.242,    17.1000,  17.1030,   17.1298,   17.1318
#C 33 row: 17.1602,   17.1868,  17.1870,   17.2036,   17.3380
#C 34 row: 17.3890,   17.4273,  17.5258,   18.309,    18.359
#C 35 row: 18.505,    18.528,   18.1844,   18.2034,   18.2078
#C 36 row: 18.2387,   18.2574,  18.2587,   18.2920,   18.6566
#C 37 row: 18.6720,   18.7277,  18.8105,   18.8141,   18.8161
#C 38 row: 18.9127,   18.13247, 18.13248,  19.28047,  19.g5
#C 39 row: 19.g5,     19.g5,    19.g5,     19.g5,     19.g5
#C 40 row: 20.1292,   20.29799, 20.35364,  20.59596,  20.g5
#C 41 row: 20.g5,     20.g5,    22.1915,   22.348003, 22.349342
#C 42 row: 22.g5,     22.g5,    23.571622, 23.693694, 23.1384807   
#C 43 row: 24.274324, 40.g5
#C 
x = 376, y = 2679, rule = B3/S23
108bo263bo$108bobo260bo$108b2o261b3o2$106bo240bo17bo$107bo6bo233bo16b
2o$5b2o78b2o18b3o6bobo57bo73bo21bobo52b2o4b2o13b3o15bobo$5bo14b2o3bo
59bobo26b2o58b3o12bo56bobo21b2o53bobo2bobo$6bobo10bobob2o152bo9bobo55b
o4bo20bo55bo2bo36b2o$9bo11bo2b2o61bobo84b2obo10b2o55b6o74bobo2bobo34bo
bo$8b2o160b2obo2bo148b2o4b2o34bo$89bobo79bobo18b2o51b2o2b2o82b2o15b3o$
23b3o64b2o79bo2bo16bobo51b2o2b2o19bo62bobo16bo$23bo81b3o64b2o19bo73bo
2bobo61bo16bo$24bo82bo7b3o84bo62bobo2b2o$106bo8bo85bo64b2o$116bo84b3o
2$15b2o$16b2o182b2o75b2o$15bo20bo162b2o76bobo$35b2o164bo75bo$35bobo4$
206b2o$206bobo55b2o$206bo56bobo$265bo31$196bo$24bo169b2o$23bo171b2o$
23b3o85bo$109b2o$103bo6b2o8bo$5bo81b2o12bobo14b2o45b2o21bo$4bobo79bo2b
o12b2o10bo4b2o40b2obo2bob2o16bo$86bobo2bo22bobo44b2o2bo4bo16b3o$2bo3b
2o79bo26b2o50bo18bo$bo5bo80b2obo26bo48bobo14b2o$2bobo85bo26b2o65bobo$
4b2o18bo92bobo$12b2o9b2o$11bobo9bobo$13bo$20bo$20b2o$19bobo7bo149bo$
28b2o149b2o$28bobo147bobo3$174bo$174b2o$173bobo24$351bobo$37bo313b2o$
36bo237bo77bo$36b3o235bobo$274b2o$253bo93bobo$105bobo146bo92b2o$105b2o
145b3o93bo$106bo$19bo$20bo166bo$18b3o97bo67bo$116b2o68b3o$117b2o$178bo
$179b2o$28b2o148b2o166bo$5b2o20bobo55b2o79bo78b2o78bob2ob2o15bo$5bobo
21bo2b2o52bo2b2o74bobo78bo2bo75b2ob2obo13b3o$8bo23bobo51bobobo7b3o65bo
bo77bobobo$9bobo20bo54bo12bo11bo54bobo12bo4b2o58bobo17bo80b2o$10b2o87b
o10b2o56bobo12b2o2bobo58bo19b2o78bobo$111b2o56bo12b2o3bo79b2o79bo$28b
3o$30bo$29bo80b3o69b2o83b3o$110bo70bobo85bo4bo$111bo71bo84bo4b2o$273bo
bo64b2o$339bobo$341bo33$361bo$360bo$354bo5b3o$21bobo328b2o$22b2o329b2o
$22bo2$190bo$180bobo6bo$181b2o6b3o$181bo88bo$271bo81bo$30bo238b3o75b3o
bobo$25bobo2bobo157b2o157bo2b2o$5b2o19b2o2b2o53b2o78b2o22b2o54b2o78b2o
21bo$5bo2b2o16bo58bobo24bobo50bo3b2o6b3o11bo53bo2b2o75bo$7b2o2bo75bo
24b2o52bo2bo9bo66b2o2bo18bobo54bo$10b2o75bob2o11b2o9bo53bobo8bo70b2o
19b2o55bo18b2o$88bobo4bobo5b2o63bo101bo57bo16bobo$96b2o4bo170bo55bo17b
o$96bo12bo163b2o55bobo$28b3o68b2o7b2o83b2o77bobo56b2o$30bo6bo60bobo7bo
bo81b2o89b3o$29bo6b2o62bo93bo88bo$36bobo245bo3$265bo$265b2o$264bobo23$
219bo$218bo$218b3o$58bo125bobo$57bo127b2o$57b3o125bo4$361bo$361bobo$
361b2o4$261bo15bobo$262b2o13b2o$261b2o15bo$31bobo71bo$32b2o7bo64bo161b
o81b2o$32bo6b2o63b3o159bobo80bobo$36bo3b2o225b2o82bo3bo$5b2o17b3o8b2o
48b2o29bo48b2o78b2ob2o75b2o27b2o$5bobo18bo8bobo47bobo26b2o49bo2bo77bob
obo74bo2b2o24bobo$7bo17bo61bo14b2o11b2o50b2o77bo2bo16b3o58b2obo$7bob2o
75bo16b2o64b2o27bo2bobo43b2o19bo61bo$8bobo75bobo13bo66bobo24bobo2b2o
64bo62b2o$9bo77bobo80bo26b2o3bo138b3o13b3o$88bo254bo13bo$342bo15bo$
276b3o$99b3o174bo$101bo9b2o164bo$100bo10bobo$111bo8$176b2o$175bobo$
177bo24$131bo$130bo$103bobo24b3o$104b2o$104bo4$186bobo154bo14bo$186b2o
156bo13bobo$187bo154b3o13b2o$22bo156bo$23b2o3bobo6bo142bo$22b2o5b2o4b
2o141b3o105bo$5b2o22bo6b2o47b2o2b2o74b2o78b2o39bobo36b2o26bo$5bo4b2o
73bobo2bo74bobo77bobo38b2o37bo28bo$6b3o2bo12b3o60bobo76bobo19bobo55b2o
26bo51bo25b3o4bo$8b2o16bo60b2o11bo2bobo61bobo18b2o58b2o25bo51bo30b2o$
25bo72bobo2b2o63bobo18bo58bo24b3o50b2o30bobo$99b2o3bo64b2o9b2o67bo78b
2o23bo$35b2o142bobo3b2o61b2o78bobo22b2o$34b2o145bo4b2o87b2o52bo22bobo$
36bo148bo90b2o$275bo$281bo$280b2o$262b2o16bobo$263b2o$262bo$127b2o$
127bobo$127bo33$350bo$351bo$22bobo324b3o$23b2o6bo$23bo6bo$30b3o328bobo
$182bo88bo89b2o$180bobo86bobo90bo$99bobo4bo74b2o87b2o2bobo$100b2o4bobo
154bobo8b2o$6bo2bo18bo56bo2bo11bo5b2o57b2o79b2o16b2o9bo49b2o$6b4o12b3o
3b2o55b4o76bobo77bobo16bo60bobo23b2o$24bo2bobo138bo76bo81bo22bobo$6b2o
15bo7b3o51b2o19b2o2b3o56bo19bo56bo2b2o76bob2o21bo9b2o$5bobo23bo53bobo
14b2o3b2obo59bo7bobo7bo58bo2bo77bo2bo30bobo$5b2o25bo53b2o13bobo2bo4bo
59bo7b2o7b3o57b2o80b2o26bo3bo$103bo68bo6bo178b2o$173bo87b2o5b2o87bobo$
172b2o13b2o71bobo5bobo$187bobo72bo5bo$187bo$195b3o$195bo$196bo15$86bo$
87bo$85b3o20$114bo$115bo$113b3o158bobo$117bo156b2o$117b2o156bo$22bobo
91bobo$23b2o241bobo$23bo170bo71b2o83bo$31bo162bobo70bo84bo$32bo152bo8b
2o154b3o$5b2o3bo19b3o54b2o34b3o40b2o18bo58b2o27bobo48b2o$6bo2bobo9b2o
2bobo58bo2bo33bo41bobo16b3o58bobo26b2o49bobo$6bobobo9bobo3b2o57bo2bobo
12b2o19bo41bo23bo56bo23bo3bo51bo$7bobo12bo3bo4bo54b2o2bo11bobo62b3o18b
2o57bobo20b2o55bob2o$8bo22b2o57b2o12bo65bo13b2o3b2o57bobo19bobo55bo2bo
26bo$30bobo136bobo11bobo63bobo77b2o26bo$170bo14bo64bo106b3o2$193b3o$
193bo79b3o$194bo78bo80b2o$274bo78bobo$355bo$344bo24b2o$344b2o22b2o$
343bobo24bo32$341bo$342b2o$184bo156b2o$182bobo$183b2o169bo$353bo$353b
3o2$21bo10bobo66bo$22bo9b2o68bo88bo$20b3o10bo66b3o83bo2bobo157bo3bo$
186b2o2b2o155bobo2bo$185bobo160b2o2b3o$6b2o77b2o78b2o78b2o79bo$7bo18bo
58bo5b2o72bobo77bobo77bobo$5bo21b2o57b3obobo15bobo56bo79bo78bobob2o$5b
2o19b2o60b2o13bo5b2o55bob2o76bob2o26bo51bobo$6bo96b2o4bo56bo2bo22b2o
53bo2bo24bo52bobo$6bobo93bobo7bo54b2o23bobo54b2o24b3o51bo$7bobo13b3o
85bo80bo$8bo16bo85b3o68b3o$24bo159bo76b3o3b2o$118bo64bo79bo2b2o$31b3o
83b2o143bo5bo$31bo85bobo$32bo3$276bo61b3o$275b2o63bo$259b3o13bobo61bo$
261bo$260bo30$187bo$188bo$186b3o$200bo$199bo$199b3o71bo10bo61bo$108bob
o163b2o7bo63bo$109b2o162b2o8b3o59b3o$26bobo80bo247bo$26b2o167b2o141bo
18bobo$27bo167bobo141bo17b2o$5b2o78b2ob2o25bo49bo2bo26bo49b2o3bo22bo
51b2ob2o7b3o5b2o$5bobo78bobobo25bo48b4o76bobobobo21b2o50b2obo15bobo$6b
obo10bobo3b3o58bo2bobo22b3o130bob2o21bobo53bo17bo$7b2o11b2o3bo59b2o3bo
76b2o20b2o56bo80bobo$9b2o9bo5bo93b2o44bo2bo20b2o54b2o81bobo$9bobo108bo
bo43bobo20bo93bo46bo21bo$10bo109bo46bo107b3o4b2o67b2o$277bo4bobo66bobo
$276bo2$109bo$109b2o$22b2o84bobo$21bobo99b3o$23bo12b3o84bo$36bo87bo$
37bo19$214b2o$214bobo$214bo11$337bo$338b2o$283bo53b2o$281b2o$263bo18b
2o$264b2o$113bobo147b2o$113b2o$114bo$105bobo156b3o$106b2o156bo$25bo80b
o82bo75bo$7b2o17b2o57b2o3b2o74b2o19bobo11bo43b2o79b2o22bo$6bobo16b2o
58bobo2bo75bobo19b2o10bo44bo2bo26b3o47bo2bo19bobo4bo$5bobo26bo51bobobo
8bobo3b3o7b2o52bo30b3o43b2obo25bo50b2obo19b2o2b2o$5bo27bo53bobo10b2o3b
o9bobo49b3o78bobo14b2o9bo51bobo23b2o$6bo26b3o52bo11bo5bo8bo50bo23bo57b
o2bo12bobo61bo2bo$7bo17b3o137bobo23bo57b2o15bo62b2o$8bo18bo138b2o21b3o
$9bo16bo325b2o$8b2o341bobo$189b2o162bo8bobo$188bobo11bo159b2o$190bo10b
2o160bo$201bobo$35bo$21b2o11b2o$22b2o10bobo$21bo29$287bo$287bobo$287b
2o6$180bo$18bo162bo$19bo159b3o$17b3o173bo$192bo149bo5bo$192b3o148b2o4b
2o$342b2o4b2o$6b2o22bo56b2o38bo37b2ob2o75b2o78b2o$5bo2bob2o18b2o54bo2b
o35b2o39bobobo74bo2bo2b2o72bobob2o$6bobobo18bobo9b2o43bobo37b2o38bobo
2bo75b2o3bo74bobobo$7bo2bo30bobo41b2obobo76bo2b2o17bo59b3o12bo62bo2bo
17bo3b2o$8b2o23b3o5bo47bobo7bo88b2o59bo15b2o61b2o9b2o7b2o2bobo$33bo56b
o9b2o86bobo73b2o74b2o5bobo2bo$34bo64b2o238bo$184b2o$183bobo78b3o$185bo
80bo$265bo$104b2o$105b2o2b2o$104bo4bobo$109bo2$285b2o$198b2o48b2o34b2o
$198bobo48b2o35bo$102b2o94bo49bo$101bobo$103bo5$20b2o$19bobo$21bo21$
100bo$98bobo84bo$99b2o85b2o$185b2o2$267bo$103bo3bobo155b2o$17bo86bo2b
2o86bobo68b2o$18bo83b3o3bo86b2o157bo$16b3o13bo163bo155b2o$30b2o239bo
81b2o$7b2o22b2o54bo77b2o3b2o73b2obo11bo9bo59b2o$8bo77bobob2o74bo3bo31b
2o42bob3o7bobo9b3o58bo$5b3o78bobobo75bobobo14b2o14b2o43bo4bo7b2o64b2ob
3o19b3o$5bo79b2obobo6b3o67b2ob2o12bobo16bo41b2o3b2o11b2o61bobo21bo$6b
2o81bo9bo86bo3bo71bobo8b2o51bo8bo15bo$7bo9b3o3b2o73bo90b2o73bo7b2o51b
2o9b2o$5bo13bo2b2o88b3o74bobo82bo60b2o4b3o$5b2o11bo5bo87bo230bo$30b3o
80bo228bo$30bo$31bo$348b2o$347b2o$349bo38$353bo$354b2o$262bo90b2o$263b
o$207bo53b3o$102bo10bo79bo11b2o$34bo68bo8bo81bo11b2o66bo76bo$32b2o67b
3o8b3o77b3o74bobob2o77bo$33b2o167bo67b2obobo74b3o$10b2o74bo78b2o2b2o
29b2o43b2o23bo57b2o24bo$11bo73bobo77bobo2bo30b2o42bo81bobo24b2o$5b2ob
3o19b3o52bobo79b3o76b3ob2o8bo66bo25bobo$6bobo21bo55bob2o11bobo62bo81bo
bo9b2o4bo59b2o$6bo8bo15bo56bobo11b2o62b2o34b3o43bobo8bobo4b2o58bo$5b2o
9b2o70bobo11bo99bo46bo15bobo59bo$15b2o4b3o65bo113bo121bobo$23bo301b2o$
22bo79b2o9b3o248b2o$101bobo9bo249b2o$103bo10bo250bo$28b2o$27b2o$29bo3$
340bo$340b2o$188b3o148bobo$190bo$189bo27$192bo$192bobo$192b2o$111bo68b
o$112b2o10bo56bo$25bo85b2o10bo55b3o178bobo$23bobo97b3o234b2o$24b2o335b
o2$37bo315bobo$35b2o152bo95bo68b2o$36b2o152b2o93bobo66bo$32b2o81bo73b
2o94b2o$6bo2b2o20b2o52b2obo27b2o10b3o38b2o75b2o78b2o$5bobo2bo22bo51bob
4o24b2o3bo7bo41bo14bo59bo2bob2o73bo2bo$5bobobo13b2o66bo27b2o8bo38bo16b
2o59b2o3bo26b2o4bo40bob2o24bo$6b2ob2o13b2o63bobo27bobo46b2o14bobo2b3o
56b3o26bobo2b2o42bo2b2o23b2o$23bo65b2o74b2obo22bo56bo30bo3b2o43bo2bo
21b2o$165bo2bo21bo138b2o$32b3o131b2o188b2o$32bo324b2o$33bo322bo2$287b
3o$287bo73b2o$288bo71b2o$362bo3$275b2o$276b2o$275bo30$279bo$277b2o$
278b2o2$98bo11bobo$99b2o9b2o159bo$98b2o11bo157b2o$180bo89b2o$181bo$
106bo72b3o$106bobo86bo$106b2o87bobo72bo$6b2o77b2o81bo26b2o49b2o20bobo
55b2o$5bo2bo76bobo18bo59b3o76bobo21b2o54bo2bo$6b3o19bo57bobo12bo3b2o
58bo3b2o74bo79b3obo24bobo$20b2o5b2o58bobo9bobo3bobo57b2obo2bo74b4o21b
3o54bobo24b2o$8b3o10b2o4bobo58bo11b2o67bobo12bobo62bo23bo53bo2bo24bo$
7bo2bo9bo149bo13b2o60b3o23bo55b2o$7b2o176bo60bo$30b2o313bo10b2o$30bobo
238bo74b2o8bobo$30bo155b2o82b2o73b2o9bo$35b2o149bobo81bobo$28b2o5bobo
148bo$27bobo5bo$29bo324b3o$196bo148b3o6bo$195b2o150bo7bo$195bobo148bo
30$51bo$50bo$50b3o$182bo$183bo$39b2o140b3o$39bobo148bo$35bo3bo148b2o$
35b2o152b2o$34bobo2$345bo$42b2o141bo160bo$42bobo138bobo158b3o13bo$6b2o
22bo11bo43b2o78b2o16b2o60b2o80bo30bo$5bobo2b2o18b2o53bo2bo18bo57bobo
77bo2bo77b5o28b3o$5bobobobo17bobo54b3o12b2o3b2o57bo2b2o75b4o76bo5bo$6b
o2bo92b2o2bobo57bobobo155bob3o$9b2o77b3o10bo65bo2bo13b2o61b2o10bo67b2o
29b2o$87bo2bo77b2o15b2o59bobo8b2o98b2o$88b2o19b2o73bo61b2o7bo2b2o99bo$
105b2o2bobo80bo60bobo$104bobo2bo81b2o61b2o$106bo84bobo67b2o$262b2o$
261bo$114bo$113b2o231bo$113bobo230b2o$262b2o81bobo$262bobo13b2o$262bo
15bobo$278bo2$329b2o$328bobo$330bo30$25bo150bobo$26bo150b2o$24b3o150bo
2$33bo306bobo$32bo232bobo73b2o$32b3o230b2o3bobo68bo$25bo82bobo155bo3b
2o$5b2o19bo60b2o19b2o55b2o74bobo27bo53b2o27bo$5bobo16b3o59bobo20bo55bo
74bob2o20bo60bo5b2o19bobo$7bo78bo79b3o71bo24b2o59b3obobo15b3o2b2o$6bob
2o26b2o47b2o81bo72b3o20b2o62bobo12b2o5bo$5bobo2bo13b3o9bobo46bo19bo62b
ob2o71bo85b2o11bobo4bo$6bo2b2o15bo9bo49b3o15b2o63bo2bo11b3o2b2o52bobo
98bo$25bo63bo14bobo63b2o14bo2bobo52b2o$88b2o89b2o4bo3bo$178bobo$180bo
85b2o7b2o$265bobo6b2o$99b2o166bo8bo$98bobo2b2o96b3o$100bo2bobo95bo160b
o$103bo98bo158b2o$361bobo2$105b2o$105bobo$105bo35$114bo$112b2o$113b2o$
22bobo80bo149bo$23b2o81b2o78bobo67b2o11bo$23bo3bo77b2o79b2o67b2o10b2o$
5b2o20bobo55b2o78b2o20bo56bo23b2o56b2o$5bobo19b2o56bobob2o12b2o60bobo
16bo57b3o14bobo63bo2bo$7bo80b2obo10bobo61b2o14bobo56bo18b2o63b4o$7b2o
82bo12bo63b2o13b2o56bob2o15bo$8bo79b3o77bobo69b2obobo81b2o10bo$7bo80bo
82bo72b2o14bo66bobo7b2o$7bobo162bo87b2o9b2o55b2o5bo2b2o$8bobo13b2o86b
2o57b2o86bobo9bobo59bobo$9bo15b2o85bobo64b2o90bo62b2o$24bo5b3o66b3o10b
o67b2o159b2o$30bo70bo77bo162b2o$31bo68bo240bo$23b3o171b2o$25bo170b2o$
24bo173bo$178b2o162b2o$179b2o161bobo$178bo163bo3$332b2o$331bobo$333bo
29$32bo$30bobo$31b2o162bobo$195b2o64bo$43bo152bo64bobo94bo$43bobo215b
2o95bobo$43b2o59bo163bo89b2o$105b2o153bo5b2o$104b2o152bobo6b2o79b2o2b
3o$5b2o78b2o26bobo49bob2o2b2obo65bo2bo15b2o64bo21bobo2bo$5bobo19bo57bo
2b2o23b2o50b2obo2bob2o65b4o81b3o21bo3bo$6bobob2o16b2o57b2obo23bo54b2o
157bo2b2o$8bob2o15b2o62bo12b2o83b2o51b2o20bo62b2o3bo$8bo22b2o59bo10bob
o83bobo3b2o44bo2bo17b2o65b3o$7b2o23b2o56bobo12bo79b2o2bo4b2o45bo2bo18b
2o64bo$31bo58b2o94b2o8bo45b2o$185bo$339b2o15b2o$263b3o74b2o13b2o$41b2o
220bo75bo17bo$40b2o222bo$42bo58b3o$103bo8b3o$102bo9bo$113bo77b2o$190b
2o$192bo16$133bo$132bo$132b3o11$101bo$99bobo23bo$100b2o21b2o$124b2o$
36bo$21bo12b2o$19bobo13b2o72bobo$20b2o88b2o$110bo$108bo$108b2o160bo$
107bobo74bobo82bo$184b2o71b2o10b3o$185bo70bobobo$5b2ob2o13bobo59b2o78b
o80bo11bobobo62b2o$6bobobo13b2o60bo2bo2b2o71b3o15bo61bobo12b2o63bo2b2o
$6bobobo13bo61bobobo2bo74bo15b2o4bobo53bo79bobobo$7b2ob2o75b2ob2o75b2o
14b2o5b2o48b2ob3o79b2obo2bo$26b2o140bob2o19bo49bobo20b2o63b2o$27b2o9b
2o128bo2bo69bobo20bobo81bo$26bo11bobo128b2o71bo21bo77bo3b2o$38bo232bo
68bobo4b2o$270b2o69b2o$270bobo$182b3o8bo$184bo7b2o$183bo8bobo4$351b2o$
350b2o$352bo2$336bo$336b2o$335bobo6$334b2o$335b2o$334bo17$260bo$258b2o
$259b2o7$197bobo174bo$33bo151bo11b2o174bo$31b2o153b2o10bo162bo11b3o$
22bo9b2o77bobo10bo60b2o161bo12bobo$9b2o12bo63bo23b2o10bo41b2o75bo82b2o
22b2o4bo5b2o$7bo2bo10b3o62bobo23bo10b3o39bobo20bo52bobo81bobo20b2o6b2o
$6bob2o75bo2bo78bo20b2o51bo2bo7bobo72bo2b2o23b2o$6bo79b2ob2o75b2obo17b
obo50b2ob2o8b2o2b2o67b2obobo$5b2o82bo23b2o53bobo72bo9bo2bobo70bo$5bo
83bobo21bobo52bo2bo8b2o61bobo12bo70b2o$7bo20bo61b2o21bo55b2o8bobo10b2o
50b2o$6b2o21b2o150bo9b2o$24bo3b2o163bo64bo$24b2o231b2o$23bobo231bobo2$
30b3o335b3o$32bo87b2o151b2o93bo$31bo73b3o11b2o151b2o95bo$107bo13bo152b
o$106bo36$252bo$253b2o$252b2o$111bo88bo$46bo65bo86bo56bobo$44b2o64b3o
73bo12b3o55b2o99bo$45b2o140bo69bo99bo$123bo61b3o160b2o2b3o2b3o$5b2o78b
2o34b2o43bo3b2o69b2o83b2o19bobo2bo$5bobo26bo50bobo25b2o7b2o41bobobo2bo
67bo2bo21bo59bobo2bo18bo3bo$7bo27b2o50bo2bo21bobo50bobobobo68b4o20bo
60bobobobo$6b2ob2o23b2o51bobobo22bo51b2ob2o78b2o13b3o59b2obo2bo$9bo20b
2o54b2obobo93b3o3b2o3b2o44b2o4bobo79b2o$9bobo19b2o57bo96bo2b2o3b2o46bo
6bo12bo$10b2o18bo155bo5bo4bo42b3o19b2o77b2o$112b3o5b2o118bo21bobo77b2o
9b3o$114bo4b2o220bo11bo$113bo7bo232bo3$32b2o$31bobo13b2o$33bo12b2o$48b
o41$33bo63bo79bo$34bo3bo57bo79bo$32b3o3bobo55b3o77b3o$38b2o63b3o77b3o
158bo$7b2o76b2o10b3o3bo61b2o10b3o3bo56b2o17bo68b2o15bo$6bo2bo75bo3bo9b
o4bo60bo3bo9bo4bo55bobo14bobo2bo64bo2bo12b3o7bo$6bob2o21bo54b4o8bo67b
4o8bo64bo14b2o2bobo61bobobo21bo$5b2o23bo213bo17b2o61bo2bobobo19b3o$8b
2o20b3o55b2o76b2o73b4o81b2o3b2o$9bo78bo78bo72bo17b3o$8bo19b2o56bobo78b
obo70bobo17bo$8b2o17bobo56b2o80b2o71b2o16bo6b2o$29bo236bobo73bo$266bo
76bo$255b2o84b3o$254bobo96b3o$256bo96bo$35b2o307b2o8bo$34b2o307bobo$
36bo308bo2$118b3o54b3o$118bo58bo$93b2o24bo56bo24b2o$94b2o104b2o$93bo
108bo29$36bo$34bobo$35b2o11bo$48bobo61bobo$48b2o62b2o$99bo13bo$100bo$
98b3o245bo$182bo8bo73bo79bo$41bo141bo7bobo70bo80b3o$6b2o2bo28b2o44b2o
78b2o14b3o7b2o49b2o9bo10b3o58b2o$5bob4o29b2o44bo2b2o74bobo73bo2bo9bo
70bo2bo2bo$5bo38b2o39bo4bo11bo64bo73b2obo7b3o71b6o19bo$6b3o34b2o41b4o
13bo8b3o52bob2o71bob2o103b2o$9bo35bo55b3o8bo53b2o2bo71bo85b2o20b2o$8b
2o76b2o25bo52bo2bo70bobo16bobo66b2o$50b2o34b2o79b2o14bo56b2o18b2o85bo$
50bobo51b2o78bo75bo9bo74bobo11b3o$50bo52bobo76b3o6b2o76b2o75b2o11bo$
105bo85bobo75bobo88bo$191bo$183bo76b2o96b2o$183b2o74bobo95bobo$182bobo
76bo97bo39$33bo150bo$33bobo75bo73b2o$33b2o76bobo70b2o$102bo8b2o$23bo
79bo87bobo72bo96bo$24bo76b3o87b2o71bobo94b2o$22b3o167bo72b2o95b2o$253b
o99bo$6bo3b2o73b2o79b2o21b2o51b2o10b2o11bo57bo26bo$5bobobobo73bobo77bo
2bo11b3o7b2o49bo2bo8b2o11bo58b3o24b3o$6b2obo17bo59bo16bobo59bobo2b2o9b
o6bo50bobobo21b3o59bob2o$9bo18bo56bob2o15b2o61b2obobo8bo59bo2bob2o79b
2obobo$9bobo14b3o56b2o2bo15bo64bo73bo2bo82bobo22b2o$10b2o21bo54bobo79b
2o27b3o43b2o83b2o22b2o$32b2o55b2o13bo5b2o87bo156bo$27bo4bobo67bobo5bob
o87bo$27b2o74b2o5bo153b2o$26bobo234b2o$265bo93b2o$359bobo$359bo$260b3o
83b3o$260bo87bo$261bo85bo39$348bo$346bobo$98bo242bo5b2o$97bo85bobo6bo
83bo65b2o$97b3o84b2o6bobo79b2o65b2o6bo$24bo5bo73b3o77bo7b2o81b2o71bo$
5b2o18b2o2bo56b2o10b3o3bo60b2o75bo82b2o21b3o$5bobo16b2o3b3o54bo3bo9bo
4bo59bo75bobo24bo56bobo$7bo79b4o8bo67bob2o69bo2bo25bo56bobo$7b3o156b3o
bo69b3o24b3o57b2o$10bo14b2o60b2o240b2o$7b2obo13bobo60bo80b2o72b3o84bo$
7bobo16bo58bobo79bobo14bobo55bo2bo28bo52bobo19b2o$8bo24bo51b2o81bo16b
2o57b2o28bobo50b2o19b2o$32b2o151bo8b2o78b2o69b2o3bo$32bobo158b2o68b3o
78bobo$187b2o6bo69bo80bo$188b2o74bo$187bo84b3o$274bo$21b3o249bo$23bo$
22bo$117b3o$117bo$92b2o24bo$93b2o$92bo22$35bo$36bo$34b3o5$50bo$50bobo
133bo163bo$50b2o135bo163bo$185b3o161b3o6bo$44bobo312b2o$44b2o312b2o$
45bo51bo164bo$41bo54bo159bo4bo101bo5bo$40b2o54b3o155b2o5b3o97b2o6bobo$
40bobo60b3o83bo65b2o105b2o5b2o$6b2o77b2o10b3o3bo61b2o21bo52bo83b2o$5bo
2bo76bo3bo9bo4bo60bo22b3o49bobo82bo2bo$5bo2bo77b4o8bo67b3o71bo2bo9b3o
70b3o$6b2o160bo17bo54b3o11bo$8b3o77b2o78bob2o14b2o66bo71b3o$8bo2bo77bo
79bo2bo12bobo53b3o81bo3bo$9b2o33b2o43bobo78bobo67bo2bo81b2ob2o$43b2o
45b2o79bo20b3o45bobo$45bo146bo48bo$193bo2$254bo113bo$185b2o67b2o111b2o
$184bobo66bobo15bo95bobo$186bo83b2o$270bobo2$97b3o$99bo$98bo24b2o$122b
2o$124bo32$191bobo$191b2o81bo$180bo11bo79b2o$181bo91b2o$179b3o76bobo$
259b2o$259bo$6b2ob2o77bo13bo64bo73b2o26bobo56b2o20bo$5bobobobo75bobo
13bo7bo54bobob2o68bo2bob2o22b2o55b3obo13b2o2b2o$5bobobo2bo11b2o3b2o55b
o2bo11b3o6bo8bo46bobob2o10bobo55bo2bobo16b2o6bo54bo4bo14b2o2b2o$6bo3bo
bo12b2o2bobo54b3o21b3o5bo46b2obo14b2o56b2o3bo14b2o63b4o14bo$11bo12bo4b
o88b3o44bo2bo14bo59b3o17bo85bo$36b2o48b3o77b2o25b3o47bo15bo68b2o18b2o$
35b2o48bo2bo104bo65b2o67b2o18bobo$37bo47bobo17bo77b2o9bo63bobo$33bo52b
o16bobo76bobo$32b2o70b2o78bo$32bobo199bo119bo$107b2o126bo117b2o$108b2o
123b3o117bobo$107bo$35b2o$35bobo307b2o$35bo308bobo$346bo36$22bo85bo78b
o$23bo84bobo74bobo$21b3o84b2o76b2o$37bobo311bo$37b2o68bo80bo160bobo$
38bo66bobo80bobo159b2o$106b2o80b2o148bo$9b2o75b2ob2o74b2ob2o73b2o82b2o
10b2o11bo$5b2o2b2o75bo3bo74bo3bo71bo2bo81bo2bo8b2o11bo$5bo81b3o76b3o
72b2o82bobobo21b3o$6b5o280bo33b2o2bob2o$8bo2bo73b3o80b3o70b4o47bo36bo
2bo$10b2o73bo2bo78bo2bo69bo4bo44b3o37b2o$86b2o79b2o71b2o2b2o$28bobo73b
2o84b2o99bo$28b2o73bobo4b2o78bobo98b2o56b2o$29bo75bo4bobo77bo99bobo55b
2o$110bo84b3o75b3o74bo$28b2o11bo146b2o5bo79bo$29b2o9b2o145bobo6bo77bo
62b2o$28bo11bobo57bo88bo92b3o51bobo$100b2o182bo53bo$99bobo181bo39$115b
o225bobo$31bo81b2o227b2o$32b2o80b2o145bo7bo72bo$31b2o63bo165bo5bo$97bo
79bo82b3o5b3o77bo$95b3o80bo170bo$10b2o73b2o20bo3bo53b2o9b3o64b2ob2o77b
2o20b3o$9bo2bo72bobo17bobo2bo54bobo75bo3bo77bobob2o$5b2o2bob2o31bo42bo
2b2o14b2o2b3o53bo2bo75b2o80bobobo$5bobobo32b2o43bobo2bo74b3o15bo55b4o
81b2obo2bo15b2o$6bo2bo29bo3b2o41b2obo2bo92b2o53bo3bo19bo65bobo16b2o$9b
2o28b2o49b2o75b3o14bobo53b2o20b2o67bo16bo$38bobo126bo2bo17b3o72b2o$28b
2o18bo119b2o18bo$29b2o16b2o66b2o72bo$28bo18bobo65bobo60b2o82bo6b2o67b
2o4b3o$115bo61bobo82b2o4b2o67bobo6bo$179bo81bobo6bo68bo5bo19$225b3o$
225bo$226bo17$40bo$38bobo$39b2o2$257bobo$258b2o$258bo$55bobo285bo$56b
2o214bo71bo$56bo214bo70b3o$271b3o$6b2o80bo78b2o74bo82b2o$5bo2bo78bobo
76bobo73bobo80bo2bo21bo$6bobo2b2o74bo2bo75bo21bo52bo2bo80bobo16bobo3bo
bo$7b2obo2bo46bo27b3o74b2o19bobo51bo3b2o17bo62bob3o14b2o3b2o$10bobo43b
o2bo105bo21b2o52b3o2bo14bobo64bo2bo13bo$10b2o42bobo2b3o24b3o77b3o26bo
47bo2bo15b2o64bo2bo$55b2o28bo2bo79bo24b2o49b2o20b3o60b2o20b3o$85bobo
80bobo17b2o4b2o70bo76bo7bo$86bo82b2o16b2o78bo75b2o7bo$189bo152bobo3$
109bo$24b2o84b2o73b3o$23bobo83b2o76bo69b3o$25bo160bo10bo61bo$101b3o6bo
85b2o60bo$103bo6b2o84bobo$102bo6bobo14$95bo$95b2o$94bobo13$119bo$118b
2o$118bobo4$27bo$25bobo5bo$26b2o5bobo235bo70bo$33b2o89bobo145bo4bo65b
2o$28bo95b2o144b3o5bo63b2o$28bobo94bo64bo85b3o$28b2o85b2o4bo69b2o95bo$
5b2o79b2o26bobo2b2o45bo23b2o48b2obo45bo35b2o20bo$5bo2bo76bo2bo27bo3b2o
43bobo72bob4o41b3o35b2o21bo$6b3o76bo2bo76bo2bo77bo82bo16b3o$86b2o37b2o
39bobo71bob4o79b5o$8b3o77b3o34bobo39b2ob2o19bo48b2obo41b3o37bo$7bo3bo
76bo2bo33bo43bo2bo19b2o93bo40b2o16b2o$7b2ob2o77bobo77bobo12b2o5b2o3bo
11b2o76bo40bobo15b2o$27b2o61bo23b3o53bo12bobo9b2o11bobo116b2o13bo4bo$
26bobo87bo68bo9bobo10bo63bo69b2o$28bo86bo156b2o67bobo$271bobo$29b2o$
29bobo320b2o$29bo322bobo$352bo33$35bo$35bobo$35b2o2$22bo$23bo76bo17bo
151bobo$21b3o77bo14b2o61bo79bo10b2o$99b3o15b2o61bo76bobo11bo$178b3o77b
2o2$25bo$23bobo$24b2o$7bo3bo77b2o16bo57bobo20bo56bo80b2o17bo$6bobobobo
72b2obo2bo15bobo55b2obob2o17bo54bobo78bob3o16b2o2b2o$6bobobobo11bo61bo
bob2o15b2o59bob2o15b3o51bo2bobo14bo63bo4bo14b2o2b2o$5b2obobob2o10b2o7b
2o51bobobo74b2obo71bobobob2o14b2o62b4o21bo$9bo13bobo7bobo51bo2bo74bo2b
o72b2obo2bo13b2o3bo79bo$33bo54b2o16bo7b2o50b2o18b3o56b2o18b2o59b2o18b
2o$105b2o7bobo71bo5b2o69bobo57bobo17bobo$105bobo6bo72bo6bobo129bo$194b
o59b3o$256bo$255bo85bo$341b2o$340bobo3$350bo$349b2o$349bobo8$214b2o$
214bobo$214bo25$101bo$99bobo$20bo14bo64b2o$21bo12bo$19b3o12b3o305bo$
343bo$103bobo235b3o$104b2o81bo$5b2o2b2o75b2o16bo63b2o15bobo55b2o80b2o$
5bo4bo74bo2bo79bobo10b3o2b2o54bo2bo79bo2bo$6b4o75b2obo2b2o77bo12bo9bob
o45bobobo80b5o13bo12bo$24bo63bobo2bo10b2o5b2o53b4o12bo10b2o45bo2bob3o
83bo12b2o11bobo$8b2o12bobo63bo2b2o10bobo5bobo51bo28bo46b2o5bo21bobo55b
2obo11bobo11b2o$7bo2bo12b2o62b2o16bo5bo53bobo79b2o21b2o55bo2bo$8bobo
155bobo102bo55b2o$9bo158bo$20b3o145b2o184b3o$22bo331bo$21bo12b3o225bo
92bo$34bo74b3o83bo67bo$35bo73bo84b2o65b3o$110bo83bobo142b3o$341bo$185b
2o75b2o76bo$186b2o75b2o$185bo76bo2$270b2o$270bobo$270bo22$293b2o$293bo
bo$293bo3$103bo$104bo$102b3o2$113bo$113bobo$113b2o137bobo$107bo145b2o$
108bo144bo$106b3o3$9b2o74b2o19b3o61b2o70b2o21bo60bo3b2o$8bobo9bo64bobo
20bo2b2o57b2o69bo2bo19bo60bobobo2bo$8bo12b2o64bo19bo3bobo127bob2o19b3o
58bobobobobo$5b2obo11b2o65b2o22bo56b4o68b2o84b2obo2bo18bo$5b2obob2o
155bo3bo26bo3bo40b2o85b2o19bobo9bo$9bo2bo74b4o75bobo27bobob2o38b2obo
107b2o8b2o$10b2o74bo4bo73bo2bo28b2o2b2o37bo2bo103bo14b2o$86b2o2b2o73bo
bo73b2o102bobo$166bo179b2o$32bo5bo215bobo$30bobo3b2o217b2o$31b2o4b2o
216bo2$31b2o222b2o$31bobo220bobo$31bo224bo87b3o$268b2o76bo$267b2o76bo$
269bo2$355bo$354b2o$354bobo$50bo128b2o$49b2o129b2o$49bobo127bo34b3o$
214bo$215bo$180b3o$182bo$181bo23$349bo$112bo237bo$113b2o233b3o4bo$112b
2o240bo$122bo71bo159b3o$120b2o72bobo$121b2o71b2o150b2o$8b2o75b2ob2o2b
2o71b2o3b2o71b2o16bo64b2o19b2o$8b2o75b2obobo2bo71bobobobo9bo61bobo13bo
bo63bobo18bo$88bob2o27b3o45bobo12bo57bo4bo14b2o63bo4bo$6b4o75b3o33bo
45bobo10b3o57b5o81b5o$5bo3bo10bo64bo34bo44bobob2o13bo85bo$5b4o9bobo12b
o131b2o17b2o56b3o17bo5b2o58b3o25b2o$19b2o12bobo147bobo55bo2bo17b2o5b2o
56bo2bo25bobo$5b2o26b2o73b2o20b2o110b2o17bobo64b2o26bo$5b2o100bobo19b
2o212b3o$109bo21bo213bo$39bo304bo$38b2o143b2o7b2o$38bobo141bobo6b2o79b
2o$184bo8bo67b3o7b2o$263bo9bo$14b2o246bo$13bobo$15bo12$50b2o$50bobo$
50bo20$193bo$191b2o$192b2o$34bo$33bo148bo$21bo11b3o147bo$22bo158b3o81b
o6bo$20b3o243bo4bo79bo$264b3o4b3o76bo$5b2o3b2o76b2ob2o73b2o77bo81b2o
21b3o$5bobobo2bo75bo3bo73b2o75b5o78bo2bo15bo$7bobo2bo13bo62b3o150bo5bo
77bobobo12bobo5bo3bo$7bo2b2o15b2o57b3o77b4o71bobo2bobo15bo6bo53b2obobo
13b2o5b2o2bobo$5bobo18b2o57bo3bo75bo4bo16bo52bo2bo2b2o16bobo3b2o56bob
2o18bobo2b2o$5b2o78b2ob2o76b4o15bobo53b2o21b2o4bobo52b3o$186b2o2bo134b
o$23b3o142b2o20bobo$25bo75bo12bobo51b2o20b2o$24bo74bobo12b2o146b3o$
100b2o13bo148bo$32b2o149bo79bo$32bobo76b2o70b2o$32bo79b2o68bobo$111bo
2$335bo$335b2o$334bobo$128bo$127b2o$127bobo5$118bo$117b2o$117bobo13$
104bo$105bo$103b3o9$184bo$33bo148bobo$32bo92bo57b2o$32b3o89bo$124b3o$
113bobo164bo63bobo7bo$25bo88b2o163bo65b2o6bo$25bobo86bo164b3o63bo7b3o$
2ob2o20b2o59b2o78bo3b2o68b2o83b2o$2obo14bo66bobo29b2o46bobo2bo69bobo
82bobo2b2o16b2o$3bo12bobo66bo4bo25bobo47bobobo23b2o46bo2b2o22bo56bo4bo
15bobo$3bob2o10b2o4bobo60b5o27bo48b2ob2o22bobo44b2obo2bo22b2o55b4o18bo
$2b2obo17b2o145bo12b3o3b2o3bo47bo2b2o22b2o$2bo2bo18bo63b3o79bobo12bo2b
2o50bobo86b2o$3b2o21b2o60bo2bo79b2o11bo5bo49b2o21bo64bo2bo23b2o$26bobo
60b2o172b2o6b3o55b2o15b3o6bobo$26bo235bobo8bo74bo6bo$194b2o76bo74bo$
193b2o$195bo$282b3o$282bo$111b2o170bo$112b2o$111bo40$28bo$18bo7b2o239b
o$19bo7b2o239b2o98bo$17b3o86bo92bo3bo63b2o89bobo7bobo$b2o84b2o15bobo
61b2o17bobo7bobo2bo37b2o43bo44b2o26b2o8b2o$o2bo83bobob2o12b2o61b2o18b
2o8b2o2b3o35bo42b2o41b2obo2bo21b2o3bo$bo2bo84bob2o95bo52b3ob2o22b3o12b
2o39bobobob2o22b2o$2b3o84bo78b4o71bobobo23bo53bobobo24bo$20bobo63b2obo
15bo4b2o55bo4bo72bobo22bo55bo3b3o$2b3o16b2o62bo2bo17b2o2bobo53bobo2b2o
32bo38bobo85bo$2bo2bo15bo7b2o54bobo17b2o3bo54bo2bo36bobo35bobo$3bo2bo
22bobo54bo79b2o37b2o36b2o35b2o$4b2o23bo249b2o$281bo80b3o$21b2o171b3o
155b2o8bo$20bobo86b3o84bo72b3o81b2o8bo$22bo88bo83bo75bo80bo$110bo159bo
11$123b2o$123bobo$123bo25$47bo$45b2o$46b2o3$102bo$103bo249bo$101b3o
248bo$114bo237b3o$b2o25bo58bo26bobo51b2ob2o68b2o87b2o$o2bo15bobo5bo58b
obo25b2o53bob2o67bobo83b2obobo$2obo16b2o5b3o56bobo77bo2bo70bo85b2obo$
3bob2o13bo66bo77bobobo71b4o85bo$3bobobo97bo59bobobobo73bo80b3obo$2b2ob
o2bo76b5o16b2o58bo3b2o69b3obo23bo55bo2b2o$6b2o77bo4bo14b2o133bo2b2o25b
o54b2o$86b3obo149b2o26b3o78bo$18bo69b2o182b2o76b2o$18b2o253b2o74b2o$
17bobo3bo81b3o77bo86bo72b3o11b2o$21b2o84bo8bo69bo160bo11bobo$22b2o82bo
8b2o67b3o14bo144bo12bo$115bobo70b3o10bobo$190bo10b2o$189bo3$344b2o$
202bo55b2o83bobo$182b3o16b2o56b2o19b2o63bo$184bo16bobo54bo21bobo$183bo
96bo6$259b3o$261bo$260bo13$147bo$146bo$146b3o8$187bo$187bobo166bobo$
187b2o157bo9b2o$123bo223b2o8bo$32bo90bobo60bo152bobo4b2o$30b2o91b2o59b
obo153b2o$31b2o152b2o74bobo3bo72bo$5bo13bo66b2o77b2ob2o76b2o14b2o2bo
58b2o6bo$b2obobo13b2o63bo2bo76bo3bo72b2obobo14bo3b3o56bobo3b3o12bo$obo
bobo12b2o64b2obo77b3o3b2o68bo3bo80bo2bo15b2o$obobobob2o78bob2o80bo70b
3o79bobobobo13bobo$bo3b2ob2o78bob2o76b3obo19b2o131b2o2bobo$25bobo59b2o
79bo2bo19b2o48b3o22b3o60b2o$25b2o61bo80b2o17b2o3bo46bo3bo23bo$21b2o3bo
61bobo33bo62bobo50b2ob2o22bo86b3o$22b2o65b2o31b2o65bo70b2o92bo$21bo97b
o3b2o134bobo93bo$120b2o69b2o68bo$119b2o70bobo$113b3o75bo70b2o$115bo
146bobo$114bo147bo$15b2o$16b2o$15bo17$186bo$187bo$185b3o15$219bobo135b
o$212bo6b2o50bobo82bo$213bo6bo50b2o83b3o$211b3o58bo$113bobo$114b2o$13b
o100bo153bo85bo$14bo9bo101b3o79bo58bo84b2o$12b3o8bo89b3o10bo81b2o57b3o
83b2o$2b2o19b3o60b2ob2o24bo11bo37b2ob2o37bobo31bo29b3o52bo30b2o$o2bo
81bobobobo22bo51bobobob2o66bobo28bo53bobo28b2o$3o82bo3bobo74bobobobobo
38b3o24bo2bo28bo52bo2bo29bo$86b3obo74b2obobobobo38bo27bobo2b2o78bobo2b
2o$5o11bobo69bo80bo3bo40bo27bo4bo13bo65bo4bo$o4bo11b2o69bobo152b4o15bo
65b4o$b3obo11bo71b2o169b3o$3b2o19bo87b3o128b2o83b2o$23b2o89bo128bo19bo
64bo$16b2o5bobo87bo130b3o16b2o61bobo19b2o$15bobo228bo15bobo61b2o20bobo
$17bo121b3o202bo3bo$139bo204b2o$140bo202bobo38$48bo$46b2o$33bo13b2o$
34bo252bo$32b3o73bo176b2o$109bo176b2o84bo$107b3o260b2o$185bo75bo84bo
24b2o$186b2o74b2o14b3o66b2o$2b2o81b2o30bo50bo16b2o53b2o3b2o14b2o17bo
44b2o19b2o$bobo81bo2bo2bo17b2o4b2o43b2o5bobo70bobobobo32bo45bobo35b3o$
o85b6o17bobo4b2o42bobo4b2o73bobo37bo44bo2b2o33bo$b5o103bo52bo2b2o34bob
o36bobobobo34b2o42bobobobo32bo$3bo2bo81b6o66bobobobo34b2o37b2o3b2o34bo
bo41b2o2bo37bo$6bo28b2o6b2o43bo2bo2bo65b2o2bo16b2o19bo44b2o16b2o62bobo
18b2o14b2o$5b2ob2o25bobo5bobo47b2o69bobo15b2o15bo47bobo16b2o62b2o19b2o
13bobo$6bo2bo21bo3bo7bo64b3o8bo45b2o14bo18bo47bo16bo66b2o16bo$6bobo22b
2o77bo7b2o78b3o131bobo$7bo22bobo76bo8bobo212bo2$206b2o$205b2o$207bo20$
87bobo59bobo$88b2o59b2o$88bo61bo25$2ob2o81b2o3b2o$2obo23bo57bo2bobo2bo
$3bo2bo20bobo55b2obobob2o$3ob3o16b2o2b2o59bobo$o2bo19bobo59b2obobob2o$
3bob2o16bo61b2obobob2o$2b2ob2o81bobo29bobo$88bobo30b2o$14bobo69bobobob
o28bo$15b2o69b2o3b2o$15bo104b3o$122bo$16b3o102bo$18bo$11bo5bo$11b2o$
10bobo14$134b3o$134bo$135bo!

6G Table (43osc & 319still)
6G.rar
6G synthesis
(59.45 KiB) Downloaded 188 times

Bob Shemyakin
BobShemyakin
 
Posts: 191
Joined: June 15th, 2014, 6:24 am

Re: 4 glider syntheses

Postby BobShemyakin » October 18th, 2015, 7:47 am

Publish tables of glider synthesis of still lifes (SL), sorted by bits.
still4-13.rar
Tables 3-13SL
(80.37 KiB) Downloaded 171 times

Tables for 4-8SL coincided with tables Mark Niemiec. In the table 9SL has 2 improve (9.2 and 9.7). Further, more.
For each of the objects 4SL should be not more than 3 gliders.
For the object 5SL(ship) should be 2 gliders.
For each of the objects 6-8SL should be not more than 4 gliders.
For each of the objects 9SL should be not more than 5 gliders.
For each of the objects 10SL should be not more than 7 gliders.
For each of the objects 11SL should be not more than 8 gliders.
For each of the objects 12SL should be not more than 11 gliders.
For each of the objects 13SL should be not more than 12 gliders.
still14.rar
Table 14SL
(133.84 KiB) Downloaded 153 times

For each of the objects 14SL should be not more than 15 gliders.
still15.rar
Table 15SL
(253.38 KiB) Downloaded 168 times

For each of the objects 15SL should be not more than 59 gliders.
Table 15SL - is incomplete. I was not able to synthesize or to find 15.457 and 15.475:
x = 42, y = 6, rule = B3/S23
2o33b2o3b2o$obo2b2o28bo4bo$2bo3bo29b3obo$bob3o31bobo$bobo31bo$2bo32b2o
!


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Re: 4 glider syntheses

Postby mniemiec » October 18th, 2015, 10:30 pm

BobShemyakin wrote:Publish tables of glider synthesis of still lifes (SL), sorted by bits. ...

This is great! It will take me a while to go through all of these, to update my lists (which are getting more and more out of date), and to see if there is an occasional one that I have that you might be missing.
BobShemyakin wrote:Table 15SL - is incomplete. I was not able to synthesize or to find 15.457 and 15.475

15.457 can be made from 14.334+18 gliders, and 15.475 can be made from 13.212+16 gliders:
x = 168, y = 84, rule = B3/S23
60bo$58bobo$38bo20b2o$39bo22bo44bobo$37b3o21bo45b2o$61b3o44bo$b2o18b2o
28b2o28b2o18b2o18b2o18b2o18b2o$bobo17bobo27bobo27bobo17bobo5b2o10bobo
2b2o13bobo2b2o13bobo2b2o$3bo19bo29bo29bo19bo5bobo11bo3bo15bo3bo15bo3bo
$2bob2o16bob2o26bob2o6b3o17bob2o16bob2o3bo12bob3o15bob3o15bob3o$2bobo
2bo14bobobo25bobobo7bo17bobo17bobo17bobo17bobo17bobo$3bo2b2o15bo2bo26b
o2bo6bo19bo2bo16bo2bo16bo19bo19bo$24b2o28b2o28b3o17b3o$122bo19bo$11bo
70b3o17b3o16bobo17bobo$4b2o4b2o69bo2bo16bo2bo16bobo17bobo$3b2o5bobo68b
2o18b2o6b3o10bo19bo$2o3bo103bo29b2o$b2o103bo3bo27bobo$o104b2o33bo$105b
obo$5b2o$4b2o$6bo$40b2o21b2o$41b2o20bobo$40bo22bo2$46bo20b3o$46b2o19bo
$45bobo20bo2$61bo$60b2o$60bobo15$45bo$46bo$44b3o$48bo$48bobo$38bobo7b
2o$39b2o$39bo3$58bo$58bobo42bobo$58b2o43b2o49bo$13bo90bo48bo$7bo3b2o
140b3o$8b2o2b2o44bobo69b2o18b2o$7b2o49b2o17b2o18b2o31b2o18b2o$b2o18b2o
18b2o16bo11b2o3bobo12b2o3bobo5bo16b2o3b2o13b2o3b2o13b2o3b2o$bo19bo5b2o
12bo5b2o22bo4bo14bo4bo5b2o17bo4bo14bo4bo14bo4bo$2b3obo2bobo10b3o2bo14b
3o2bo24b3ob2o14b3ob2o5b2o17b3obo15b3obo15b3obo$3bob2o2b2o12bobobo15bob
obo25bobo2bo14bobo2bo24bobo17bobo17bobo$bo8bo10bo4bo14bo4bo24bo4b2o13b
o4b2o23bo19bo19bo$b2o18b2o18b2o28b2o18b2o28b2o18b2o18b2o$7b3o96b3o$9bo
96bo$8bo98bo2$100bobo$96b2o2b2o$97b2o2bo$96bo2$54b3o$54bo$55bo!
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Re: 4 glider syntheses

Postby Extrementhusiast » October 19th, 2015, 1:11 am

mniemiec wrote:...15.475 can be made from 13.212+16 gliders...


Down to 20 gliders total, via a different method:
x = 160, y = 33, rule = B3/S23
112bobo$113b2o$113bo4$117bobo$15bo102b2o$15bobo100bo$15b2o4bobo$21b2o
96bo$8bo13bo78bo17bobo$6b2o94b2o15b2o$4bo2b2o34b2o27b2o27b2o6b2o25b2o
15b2o$2bobo38bo4bo23bo36bo26bo16bo$3b2o40bobobo3bo20bob2o3b2o28bob2o3b
2o12bo5bobo14bobo$40b2o2b2obobob2o16b2o2b2ob2o2bo2bo22b2o2b2ob2o2bo2bo
12bo3b3obo12b3obo$40bo2bo4bo3b2o15bo2bo7bo2bo22bo2bo7bo2bo10b3o2bo4bo
11bo4bo$42b2o27b2o8b2o25b2o8b2o15bobo3b2o10b2o3b2o$19bo94b2o15b3o2bo$
18b2o56b3o22b2o11b2o17bo$18bobo57bo23b2o28bo$3o74bo23bo9bo$2bo76b3o28b
2o6b2o$bo77bo30bobo4b2o$80bo38bo2$108b3o$110bo$109bo$111b3o$111bo$112b
o!
I Like My Heisenburps! (and others)
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Re: 4 glider syntheses

Postby mniemiec » October 19th, 2015, 3:48 am

Extrementhusiast wrote:
mniemiec wrote:...15.475 can be made from 13.212+16 gliders...

Down to 20 gliders total, via a different method: ...

Moving the rightmost glider up by one removes the second step, reducing this to 19 gliders:
x = 35, y = 18, rule = B3/S23
15bo$15bobo3bobo$15boo4boo$22bo$8bo$6boo$4bobboo20boo$bbobo24bo$3boo
26boboo$26boobbooboo$26bobbo$28boo$19bo$18boo$18bobo$3o$bbo$bo!
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Re: 4 glider syntheses

Postby Sokwe » October 19th, 2015, 4:50 am

mniemiec wrote:Moving the rightmost glider up by one removes the second step, reducing this to 19 gliders

It seems that the second step is necessary, since the resulting pond is used in the fourth step.
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Re: 4 glider syntheses

Postby BobShemyakin » October 19th, 2015, 2:47 pm

Thank you! Now Table 15-bit full.
still15.rar
Full table 15SL synthesis
(254.11 KiB) Downloaded 181 times

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Re: 4 glider syntheses

Postby mniemiec » October 19th, 2015, 7:03 pm

Sokwe wrote:
mniemiec wrote:Moving the rightmost glider up by one removes the second step, reducing this to 19 gliders

It seems that the second step is necessary, since the resulting pond is used in the fourth step.

Oops. I should have learned by now that my attention to detail gets compromised when I try to post (let alone do synthesis research) at 2 in the morning. It's possible that a 3-glider collision making a protruding block with a pond behind it could work as well, but it wouldn't save anything.
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Re: 4 glider syntheses

Postby BobShemyakin » October 21st, 2015, 2:54 pm

I've found a mistake in the synthesis of 15.647.
Converter in the last step in the synthesis is used incorrectly (touches the carrier).
Suggest an alternate synthesis of 15.647 from 15.649 where correctly uses the same converter:
x = 187, y = 28, rule = B3/S23
123bo6bobo$85bo38b2o4b2o$86bo36b2o6bo$84b3o$88bo$87bo$9bo77b3o17b2o18b
2o$9bobo95b2o18b2o$2bo6b2o10b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o$obo18bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo19bo19bo$b2o19b4o
16b4o16b4o16b4o16b4o16b4o5b2o9b3obo15b3obo15b3obo$131bobo11b2o18b2o18b
2o$22b2o10bo7b2o18b2o18b2o18b2o18b2o7bo10b2o18b2o18b2o$22b2o11bo6b2o
18bo19bo19bo19bo19bo19bo19bo$bo3bo27b3o27bo19bo19bo19bo5bo13bo19bo20bo
$2b2obobo37bo16b2o18b2o18b2o18b2o4b2o12b2o11bo6b2o3bobo13b2o$b2o2b2o
38bobo80bobo22bobo11b2o$45b2o107b2o12bo$125b3o29b2o$42bobo82bo30b2o$
43b2o81bo30bo$43bo124b3o$162b2o4bo$39b2o120b2o6bo$38bobo122bo$40bo115b
2o$157b2o$156bo!


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Re: 4 glider syntheses

Postby dvgrn » October 21st, 2015, 4:38 pm

BobShemyakin wrote:I've found a mistake in the synthesis of 15.647.
Converter in the last step in the synthesis is used incorrectly (touches the carrier).

It would be a really nice little programming project to rewrite chris_c's script so that it can automatically convert any of these incremental synthesis patterns into a continuous synthesis.

If it wasn't necessary to select the key area manually or enforce specific widths between stages, that would make it much easier to test an entire directory's worth of patterns at a time, and flag anything that doesn't work quite right.

It turns out to be only a little bit tricky for a script to analyze one of these patterns and figure out how to line everything up, without any pre-defined spacing. For the most part, the reaction envelope for each construction stage is a separate "island", and it's fairly easy to subtract gliders and *WSSes and register each initial target and its corresponding output. Some time ago I wrote a "LifeHistoryTrace" rule to make it easier to find these islands... but now it looks like I never actually posted it anywhere (?)

The reverse operation would be much more difficult to do reliably. Is there a good algorithm for automatically decomposing a continuous synthesis into an incremental synthesis, with as many separate steps as possible? That would also be a very useful script, but I haven't come up with a really good approach yet.

In most cases it would help to watch the center object and take a snapshot of the remaining gliders each time the target becomes periodic. But very often in really tight syntheses, when the first Stage N+1 glider arrives, there's still a dying spark somewhere from Stage N.

In some cases it would be possible to just exhaustively check all possible subsets of incoming gliders, to see if just Set 1 produces a valid still life or oscillator, and then Set 2 still completes the construction in the same way... but for something like the weekender synthesis, I think that would probably take too long and the algorithm needs to be smarter somehow.
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Re: 4 glider syntheses

Postby mniemiec » October 21st, 2015, 6:08 pm

dvgrn wrote:It would be a really nice little programming project to rewrite chris_c's script so that it can automatically convert any of these incremental synthesis patterns into a continuous synthesis.

If it wasn't necessary to select the key area manually or enforce specific widths between stages, that would make it much easier to test an entire directory's worth of patterns at a time, and flag anything that doesn't work quite right.


In my database, I always show both "before" and "after" stages, separated an offset of 10n, where n is chosen so that no part of the source overlaps the target. I also use different colors (o for source, x for target, and in some cases, y for spurious pieces of junk within target that must be subsequently removed. This would make identifying the exact target much easier. One downside to my format is that I paste the images like tiles on a page, rather than in one straight line, so a script would need to dissect the different stages vertically as well as horizontally.

dvgrn wrote:It turns out to be only a little bit tricky for a script to analyze one of these patterns and figure out how to line everything up, without any pre-defined spacing. For the most part, the reaction envelope for each construction stage is a separate "island", and it's fairly easy to subtract gliders and *WSSes and register each initial target and its corresponding output. Some time ago I wrote a "LifeHistoryTrace" rule to make it easier to find these islands... but now it looks like I never actually posted it anywhere (?)


Islands are usually fairly easy to find, although sometimes the separation can be unclear, e.g. in cases where temporary still-lifes are positioned far away from the central object.

dvgrn wrote:The reverse operation would be much more difficult to do reliably. Is there a good algorithm for automatically decomposing a continuous synthesis into an incremental synthesis, with as many separate steps as possible? That would also be a very useful script, but I haven't come up with a really good approach yet.

In most cases it would help to watch the center object and take a snapshot of the remaining gliders each time the target becomes periodic. But very often in really tight syntheses, when the first Stage N+1 glider arrives, there's still a dying spark somewhere from Stage N.


To put continual syntheses into my database, I do this by hand. Each stage could probably be summarized by the pretty obvious steps: 1) advance spaceships until they interact (similar to white space in text) 2) advance pattern until the result consists solely of still-lifes, oscillators, spaceships, incoming spacehsips, or dying sparks. (similar to words within text) 3) Rinse and repeat. 4) Separate words from white space. This could be automated.

This can be complicated a bit by optimal continual syntheses that overlap operations, e.g. by creating nearby still-lifes before another operation is finished, starting a new interaction before an old one's dying spark subsides, an incoming glider killing an escaping glider, etc.

dvgrn wrote:In some cases it would be possible to just exhaustively check all possible subsets of incoming gliders, to see if just Set 1 produces a valid still life or oscillator, and then Set 2 still completes the construction in the same way... but for something like the weekender synthesis, I think that would probably take too long and the algorithm needs to be smarter somehow.


This could be reduced to linear time by identifying the exact generation number at which each glider or spaceships first interacts, and then remove them one by one until one gets a stable result - rather than exponential time by trying all possible combinations.
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Re: 4 glider syntheses

Postby dvgrn » October 21st, 2015, 6:53 pm

mniemiec wrote:This could be reduced to linear time by identifying the exact generation number at which each glider or spaceships first interacts, and then remove them one by one until one gets a stable result - rather than exponential time by trying all possible combinations.

This will often work perfectly, and maybe it will at least break up a long synthesis into small enough pieces that all possible combinations of each subset isn't unmanageably large.

There are definitely some annoying exceptional cases, though. A Stage N+1 glider on one side of the target might interact many dozens of ticks before the last Stage N glider has done its work on the other side.

To take a moderately lunatic example, here's a five-stage partial construction using Kazyan's 30P4H2V0.4 synthesis, where the gliders for stages 1 through 4 (the beehive constructions) don't collide until 42 ticks after the Stage 5 gliders start to interact:

EDIT: Fixed minor problem mentioned by mniemiec in next post -- moved two gliders forward to avoid an unintended conflict.
x = 124, y = 100, rule = LifeHistory
123.A$121.2A$122.2A17$A.A$.2A$.A30.A$33.A$31.3A$23.A46.A$24.A45.A.A
13.A$22.3A45.2A13.A$29.A55.3A$27.A.A2.A.A45.A$28.2A3.2A40.A.A2.A.A$
25.A7.A41.2A3.2A$26.A49.A7.A$24.3A56.A$83.3A$33.A$11.A.A17.A.A42.A$
12.2A18.2A42.A.A17.A.A$12.A63.2A18.2A$97.A5$52.A$51.A.A3.A$44.D7.A3.A
.A$43.D.D11.A7.D$43.D.D5.A12.D.D$26.A.A15.D5.A.A5.A5.D.D$27.2A21.A.A
4.A.A5.D15.A.A$27.A18.2A3.A5.A.A21.2A$23.3A20.A.A9.A3.2A18.A$25.A22.A
12.A.A20.3A$24.A23.2A2.2A7.A22.A$51.A.A2.2A2.2A23.A$45.2A5.A3.A.A$44.
A.A10.A5.2A$45.A17.A.A$29.2A17.2A.2A11.A$28.A.A17.2A.A5.2A.2A17.2A$
30.A6.2D12.A6.A.2A17.A.A$36.D2.D4.2A2.3A3.A3.A12.2D6.A$37.2D4.A.A2.A
4.A.A3.3A2.2A4.D2.D$43.2A9.A.A4.A2.A.A4.2D$55.A.A7.2A$56.A3$29.2A$30.
2A$14.2A4.A8.A$13.A.A4.2A24.2A41.A3.3A$15.A3.A.A23.2A41.2A3.A$47.A34.
3A3.A.A3.A$82.A$83.A$58.3A$24.A35.A$24.2A33.A25.A$23.A.A5.A52.2A$31.
2A45.A5.A.A$21.A8.A.A44.2A$21.2A49.2A3.A.A8.A$20.A.A48.2A14.2A$73.A
13.A.A11$51.3A$51.A2.A$51.A$51.A$52.A.A!

Seems as if an algorithm that can pick that apart correctly will have to be pretty clever -- or it will have to do at least some trial-and-error, for first interactions within 50 ticks or so of each other.

Maybe the script could start with a linear-time analysis as you suggest, but with an adjustable parameter epsilon set to zero at first. The algorithm could gradually increase the parameter and retry up to epsilon=50. That would only cause a painful slowdown in the odd cases where a lower value doesn't allow a recipe to be subdivided.

-------------------------------------

Another idea would be to analyze each glider separately -- basically, track each glider's ON cells until they stabilize, never mind what the rest of the pattern is doing. That should make it possible to identify those four beehives as "islands", and a very quick experimental run will prove that the two gliders connected to each island can be split off as a separate step.

I think that still works okay when a few Stage N gliders are adding cells to a large target, at a time when Stage N+1 is already starting. Tracking each glider to its island will prove that the large target has to be constructed completely before Stage N starts, but that Stage N+1 gliders can all wait until Stage N is complete.
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Re: 4 glider syntheses

Postby mniemiec » October 21st, 2015, 8:59 pm

dvgrn wrote:There are definitely some annoying exceptional cases, though. A Stage N+1 glider on one side of the target might interact many dozens of ticks before the last Stage N glider has done its work on the other side.

To take a moderately lunatic example, here's a five-stage partial construction using Kazyan's 30P4H2V0.4 synthesis, where the gliders for stages 1 through 4 (the beehive constructions) don't collide until 42 ticks after the Stage 5 gliders start to interact:


This example has other problems, because the two bottommost gliders would have to pass through each other, although it might be made to work if one of the beehives was delayed somewhat.

I have also seen other pathological situations. For example, where two sets of gliders produce effects with trivial side-effects (such as dying sparks), but when done simultaneously, these eide-effects interact non-trivially, but yield the same result anyway. This is especially useful in some cases, where the side-effects from one interaction remove debris from another.
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