Still Life Synthesis Thread

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
Chris857
Posts: 746
Joined: June 10th, 2020, 11:26 pm

Re: Still Life Synthesis Thread

Post by Chris857 »

Does anyone know how to add the following blobby still life here (bottom left)? If so, I have the remaining steps to synthesize the p17 honey ring-based corner dot sparker.

Code: Select all

x = 349, y = 186, rule = LifeHistory
185.7D$181.4D7.3D$178.3D14.D$178.D17.D$177.D19.D$176.D20.D$176.D21.D$
176.D22.D$175.D23.D$175.D23.D$174.2D24.D$174.D25.D$199.2D$199.D$197.2D
$195.3D$193.3D$190.3D$188.2D$187.D$185.2D$184.D$183.D$182.2D$182.D$182.
D$182.D$182.D$182.D$182.D$182.D$182.D$182.D$182.D$182.D$182.D$182.D$182.
D$182.D$182.2D11$181.7D$39.2A26.2A111.2D5.2D110.2A26.2A$40.A26.A111.2D
7.D111.A26.A$40.A.A22.A.A111.D9.D110.A.A22.A.A$41.2A22.2A112.D9.D111.
2A22.2A$179.2D8.D$46.2A132.D7.2D116.2A$35.2A8.A2.A22.2A107.4D3.2D106.
2A8.A2.A22.2A$35.A10.2A24.A108.7D107.A10.2A24.A$32.2A.A36.A.2A216.2A.
A36.A.2A$31.A.A.2A5.2A20.2A5.2A.A.A214.A.A.2A5.2A20.2A5.2A.A.A$30.A11.
2A20.2A11.A212.A11.2A20.2A11.A$29.A4.3A10.2A22.3A4.A210.A4.3A10.2A22.
3A4.A$28.A4.A2.A5.2A3.2A22.A2.A4.A208.A4.A2.A5.2A3.2A22.A2.A4.A$27.A5.
2A7.2A29.2A5.A206.A5.2A7.2A29.2A5.A$27.2A2.2A42.2A2.2A206.2A2.2A42.2A
2.2A$30.A.A42.A.A147.D64.A.A42.A.A$25.4A.A46.A.4A142.2D58.4A.A46.A.4A
$25.A2.A.2A44.2A.A2.A143.2D57.A2.A.2A44.2A.A2.A$48.2A8.2A167.2D79.2A8.
2A$43.A4.A.A6.A.A168.D74.A4.A.A6.A.A$19.A22.A.A5.A6.A30.A140.D49.A22.
A.A5.A6.A30.A$19.3A21.2A5.2A4.2A28.3A141.2D47.3A21.2A5.2A4.2A28.3A$22.
A62.A145.D50.A62.A$21.2A5.2A38.A6.2A.2A5.2A145.D48.2A5.2A38.A6.2A.2A5.
2A$28.2A14.2A11.2A8.A.A5.2A.2A153.D54.2A14.2A11.2A8.A.A5.2A.2A$44.2A11.
2A4.2A2.2A165.D69.2A11.2A4.2A2.2A$63.2A17.A152.D87.2A17.A$81.A.A151.D
105.A.A$56.2A18.2A3.A.A152.2D78.2A18.2A3.A.A$37.2A16.A.A11.2A5.2A4.A155.
D58.2A16.A.A11.2A5.2A4.A$37.A5.2A11.A13.A168.D57.A5.2A11.A13.A$38.3A2.
2A2.2A18.3A152.18D58.3A2.2A2.2A18.3A$40.A6.A.A17.A71.83D14.2D62.A6.A.
A17.A$48.A79.11D97.D71.A$119.9D107.D$234.2D$.A57.A173.2D84.A$2.2A36.A
17.A.A6.A164.D67.A17.A.A6.A$.2A35.3A18.2A2.2A2.3A161.2D65.3A18.2A2.2A
2.3A$37.A13.A11.2A5.A160.D65.A13.A11.2A5.A$25.A4.2A5.2A11.A.A16.2A159.
D54.A4.2A5.2A11.A.A16.2A$24.A.A3.2A18.2A177.D54.A.A3.2A18.2A$24.A.A202.
D54.A.A$25.A17.2A183.D56.A17.2A$39.2A2.2A4.2A11.2A163.D71.2A2.2A4.2A11.
2A$28.2A.2A5.A.A8.2A11.2A14.2A146.2D60.2A.2A5.A.A8.2A11.2A14.2A$21.2A
5.2A.2A6.A38.2A5.2A139.D54.2A5.2A.2A6.A38.2A5.2A$22.A62.A140.D55.A62.
A$19.3A28.2A4.2A5.2A21.3A190.3A28.2A4.2A5.2A21.3A$19.A30.A6.A5.A.A22.
A190.A30.A6.A5.A.A22.A$48.A.A6.A.A4.A243.A.A6.A.A4.A$48.2A8.2A248.2A8.
2A$25.A2.A.2A44.2A.A2.A202.A2.A.2A44.2A.A2.A$25.4A.A46.A.4A202.4A.A46.
A.4A$30.A.A42.A.A212.A.A42.A.A$27.2A2.2A42.2A2.2A206.2A2.2A42.2A2.2A$
27.A5.2A29.2A7.2A5.A206.A5.2A29.2A7.2A5.A$28.A4.A2.A22.2A3.2A5.A2.A4.
A208.A4.A2.A22.2A3.2A5.A2.A4.A$29.A4.3A22.2A10.3A4.A210.A4.3A22.2A10.
3A4.A$30.A11.2A20.2A11.A212.A11.2A20.2A11.A$31.A.A.2A5.2A20.2A5.2A.A.
A214.A.A.2A5.2A20.2A5.2A.A.A$32.2A.A36.A.2A216.2A.A36.A.2A$35.A24.2A10.
A222.A24.2A10.A$35.2A22.A2.A8.2A222.2A22.A2.A8.2A$60.2A258.2A2$41.2A22.
2A229.A4.2A22.2A$40.A.A22.A.A227.A.A2.A.A22.A.A$40.A26.A226.A2.A2.A26.
A$39.2A26.2A225.2A.A.2A26.2A$292.2A3.A$39.2D250.A2.2A.A.2A$39.2D251.A
.A2.A.2A$291.2A2.2A$293.A.A$293.A.A$294.A39$.2A$A.A$2.A15$91.3A$91.A$
92.A!
vilc
Posts: 311
Joined: March 20th, 2024, 4:36 pm

Re: Still Life Synthesis Thread

Post by vilc »

I just updated my list of triples with recent findings - including 5000 new components by mvr (those which needed a cleanup).
The first results were these reduction to xs15_8e12kozw643 (in 9G, down from 10G) and xs15_cai3zmq1 (in 8G, down from 9G).

Code: Select all

x = 64, y = 24, rule = B3/S23
57bobo$24bo33b2o$5bo16b2o34bo$6b2o15b2o$5b2o6$10bo$8bobo$9b2o$18b2o29b
2o3b2o$18bobo29bo4bo$8b2o10bo29bob3o4b2o$9b2o9b2o29b2o5bobo$8bo7b2o42b
o$17bo$17bobo42bo$b2o15b2o41b2o$obo50bo7bobo$2bo50b2o$52bobo!
Edit:
7 xs16 reduced with a subsequent search :

Code: Select all

x = 316, y = 332, rule = B3/S23
313bobo$297bo15b2o$298b2o14bo$297b2o5$166bo138bo$164b2o139bobo$165b2o
134bo3b2o$160b3o139bo$9bobo133b2o13bo139b3o$9b2o135b2o13bo$obo7bo134bo
$b2o$bo11b2o143b2o148b2o$13bo144bobo6b2o139bobo2b2o$3bo10bo145bo5b2o
141b2o3bo$3bobo5b3o146b2o6bo142b3o$3b2o4b3o149bo149bo$8bo152bobo$8b2o
152bobo$163bo10$5bo$4b2o$4bobo125$12bobo$13b2o$13bo7bobo$21b2o127bo$
22bo119bo5bobo$143bo5b2o$8b2o10bo120b3o16bo$8bo2b2o5bobo138bobob2o$9b
2ob3o4b2o138bob2obo$15bo142b2o$14b2o143bo$158bo$150b2o6b2o$149bobo$
151bo2$153bo$152b2o$152bobo3$18bo$18b2o$17bobo131$176bo$26bo147b2o$8b
2o14b2o132b2o15b2o$9bo15b2o131bo2b2obo$9bob2obo144bobob2o$10b2ob2o145b
o8bo$19bo149bobo$19bobo147b2o$19b2o$166b2o$16b2o147b2o$15b2o150bo$17bo
2$156b3o$6b3o149bo$8bo148bo$7bo!
End of edit.

Here is my new list of triples for transfer.py, if anyone cares.
Edit on 08/14 : I forgot to include the cleaned components in Shinjuku format.
Attachments
mvr_comps_cleaned.zip
(128.7 KiB) Downloaded 27 times
triples-08-07-2025.zip
(1.32 MiB) Downloaded 33 times
Last edited by vilc on August 14th, 2025, 10:23 am, edited 1 time in total.
Chris857
Posts: 746
Joined: June 10th, 2020, 11:26 pm

Re: Still Life Synthesis Thread

Post by Chris857 »

Chris857 wrote: August 1st, 2025, 11:25 am 2025-08-01:
xs35_c8alla8kk8gz315aa51221 in 15G from soup. I'm pretty sure cheaper is possible, but it was deceptively tricky for the seeming simplicity of the active regions.

Code: Select all

x = 231, y = 122, rule = B3/S23
107bobo$108b2o$108bo2$205bobo$205b2o$206bo2$229bo$228bo$228b3o13$36bo
$34b2o$35b2o26$167bo$167bo$167bo$b2o158b2o$o2bo156bo2bo$obo157bobo$bo
3b2o154bo3b2o$4bobo157bobo$5bo159bo16$38bo$37b2o$37bobo25$225b2o$127b
2o96bobo$128b2o95bo$127bo3$108bo108b2o$108b2o106b2o$107bobo108bo4$124b
2o$125b2o91b2o$124bo92b2o$219bo2$120b2o$121b2o$120bo!
14G

Code: Select all

x = 260, y = 111, rule = B3/S23
136bobo$137b2o$137bo3$156bo$157b2o95bo$156b2o96bobo$254b2o19$36bobo$36b
2o$37bo22$196bo$196bo$196bo$o2bo186bo2bo$4o186b4o2$2b2o188b2o$2b2o188b
2o21$34b2o$33b2o$35bo19$257b3o$257bo$258bo4$243b3o$243bo$137bo3b3o7b2o
91bo$137b2o4bo6bobo$136bobo3bo9bo!
vilc
Posts: 311
Joined: March 20th, 2024, 4:36 pm

Re: Still Life Synthesis Thread

Post by vilc »

36 xs17 reduced as a continuation of the above searches :

Code: Select all

x = 792, y = 783, rule = B3/S23
183bo$182bo$182b3o141bobo$326b2o$327bo$173bo3bobo$174bo2b2o590bo$172b
3o3bo137bo450bobo$317b2o449b2o$316b2o2$313b2o450b3o$25b2o147b2o136bobo
6b2o2b2o146b2o2bo144b2o143bo4bo$24bobo146bo2bo137bo6bo4bo145bob4o144bo
143bo4bobo$23bo148bob3o8b3o134b4o145bo152bo147bo3bo$22bo150bo11bo286b
3ob2o145b2o148b4o$21bo152bo11bo128bo6b2o150bob2o$14bo6b2o149bobo140b2o
4bo2bo298b4o136b3o7b2o$15b2o5bo148bobo140bobo5bobo297bo3bo138bo5bo2bo$
14b2o6bobo147bo150bo297bobo140bo6b2o$23b2o597bo$471b3o3bo$37bo435bo2b
2o$21bo13b2o435bo3bobo145b3o133b3o$22bo13b2o586bo137bo$20b3o597b2o3bo
135bo$16b2o451b3o147bobo$17b2o452bo149bo$16bo453bo4$483bo$482b2o$482bo
bo116$18bobo297bobo$19b2o298b2o135bobo$19bo299bo137b2o$457bo312bo$179b
o287bo300bobo$24bo152b2o145bo140bobo301b2o$25bo152b2o145bo140b2o$23b3o
147b3o147b3o$158b2o13bo$27bobo129b2o13bo152bobo133b3o317bo$27b2o129bo
168b2o136bo316bo$28bo299bo135bo317b3o$21b2o148b2o148b2o148b2o151bo2bo
147b2o$22bo148bobo6b2o140bo148bobo148b6o144b2o2bo$21bo151bo5b2o140bo
150b2o3b2o142bo149bob3o$21b2o150b2o6bo139b2o151b2o2bo143b3ob2o143bo$
22bo152bo146bo151bob2o146bob2o144b2o$21bo151b2o146bo133b2o316bo$22b3o
7b2o139bo147bobo8b2o122b2o313bo$24bo7bobo139bo147b2o8bobo120bo315b2o$
32bo140b2o157bo$621b3o3bo151b3o$623bo2b2o151bo$622bo3bobo151bo2$776b3o
$619b3o156bo$621bo155bo$620bo4$633bo$632b2o$632bobo112$626bobo$610bo
15b2o$611b2o14bo$610b2o$480bobo$481b2o$481bo$o177bobo595bobo$b2o175b2o
438bo158b2o$2o177bo438bobo156bo$614bo3b2o$177bo437bo$175b2o436b3o$176b
2o$12bo$13bo$6bo4b3o8bo149b2o4b2o147b2o142b2o148b2o3b2o145bo9bo$7bo13b
obo147bobo4bo149bo142bobo3b2o142bobo2bo145bobo8bobo$5b3o13bobo142bobo
2bo4bobo146b3o145bo4bo143b2o3bo145bobo7b2o$14bo7b2ob2o140b2o3b6o147bo
147bob3o4b2o140b3o147b2o$14b2o8bobo140bo155b2o6bo142b2o5bobo140bo$13bo
bo8bo149b2o147bo5b2o152bo288b3obo6b2o$23b2o150bo145bobo6b2o441bob2o5b
2o$174bo146b2o162bo285bo12bo$173bo310b2o285b2o$173b2o133bo167bo7bobo$
309b2o13bo151b2o$308b2o13bo151bobo$323b3o463b2o$328b2o459bobo$327b2o
460bo$329bo126$322bo$321bo$321b3o4bo$326b2o$38bo278bobo7b2o$32bobo3bob
o277b2o$33b2o3b2o278bo293bo$33bo579b2o$612b2o$21b2o152b2o145b2o3bo144b
o152bo145b2o$21bo2b2o2b2obo5b2o133bo3bo145bobobobo142bobo147b2obobo
145bo$22b2obo2bob2o4b2o134b4o148bobobo143bobo139b2o6bobo2bo144bobo$26b
2o10bo285bo2bo146bo138bobo6bo2b2o146bobo$172b2o148bobo148bo141bo7b2o
150bo$171bobo138b2o7bobo142bo6b2o149bo149b2ob2o$171b2o140b2o7bo144b2o
5bo149bobo141bobo5bobo$312bo153b2o6bobo132b2o14b2o142b2o5bo$475b2o114b
2o17b2o157bo5b2o$590bobo16bo$163b3o323bo102bo$165bo307bo13b2o279b2o$
164bo3b2o304bo13b2o277b2o$168bobo301b3o294bo$168bo299b2o308b2o$469b2o
307bobo$468bo309bo3$160b2o601b3o$161b2o14bo587bo$160bo15b2o586bo$176bo
bo112$26bobo$10bo15b2o$11b2o14bo$10b2o$478bo$477bo128bobo$477b3o127b2o
$607bo$18bo598bo162bo$18bobo447bo146bobo160b2o$14bo3b2o449b2o145b2o
161b2o$15bo452b2o304b3o$13b3o743b2o13bo$465b2o146b3o144b2o13bo$464bobo
148bo143bo$466bo147bo$21b2o150bo147b2o2b2o144b2ob2o145b2o3b2o144b2o$
21bobob2o145bobo146bobo2bo144bob2obo144bobo2bo145bobo6b2o$22b2obobo
145bobo147b2o6bo127b2o16bo144b2o3bo146bo5b2o$25bobo147bo147bo5b2o129b
2o16bo145b3o147b2o6bo$25b2o148b2o144bobo6b2o127bo17b2o145bo150bo$183bo
137b2o282b2o167bo$173b6o3b2o422b2o165bo$171bo2bo4bo2bobo123bo296bo166b
o$171b2o4bobo129b2o13bo446bo$177b2o129b2o13bo447b2o$323b3o$328b2o$173b
2o152b2o$174b2o153bo$173bo2$170b2o$171b2o$170bo116$626bobo$610bo15b2o$
611b2o14bo$610b2o5$29bo299bo288bo$27b2o298b2o289bobo$28b2o298b2o284bo
3b2o$23b3o297b3o289bo$8b2o13bo284b2o13bo289b3o$9b2o13bo284b2o13bo$8bo
299bo2$21b2o153b2o143b2o148b2o148b2o138bo11b2o$21bobo6b2o140b2obobo
143bobo6b2o139bobo147bobo135bobo12bo$23bo5b2o141bob2o147bo5b2o142bo
148b2o3b2o131b2o11bo$23b2o6bo144bo146b2o6bo140bo151b2o2bo143bo$24bo
148b3o148bo146bo152bob2o143bo$24bobo145bo151bob2o136bo6b2o298b2o$25bob
o143bobo151bobo137b2o5bo299bo$26b2o143bo2bo151bo137b2o6bobo296bo$172b
2o299b2o296b2o$176bo4b2o582bo$176b2o2b2o305bo277b2o$167bo7bobo4bo288bo
13b2o277bobo$167b2o303bo13b2o$166bobo301b3o295b3o$466b2o300bo$181b2o
284b2o300bo$180b2o284bo$182bo$774bo$773b2o$773bobo!
mattiward
Posts: 43
Joined: February 8th, 2018, 3:19 am

Re: Still Life Synthesis Thread

Post by mattiward »

Code: Select all

x = 47, y = 45, rule = LifeHistory
12.A.A26.4B$12.2A27.4B$13.A27.5B$40.7B$14.2A23.7B$2A.2A9.A.A13.2A.2A
4.8B$A3.A9.A15.A3.A3.5B.2B$.3A27.3A3.6B$12.A23.7B$A.4A5.2A17.A.2A4B.
5B$2A.A2.A4.A.A16.2A.A.3B3.3B$5.2A28.3B.B$37.4B$37.5B$39.4B$13.A26.4B
$12.2A27.4B$12.A.A27.3B14$19.3D$18.D3.D$22.D$6.2E13.D16.2E$6.E.E11.D
17.E.E$3.2A.E.E11.D14.2A.E.E$2.A.A.2E26.A.A.2E$.A2.A15.D6.D5.A2.A$A3.
A23.D3.A3.A$.3A6.20D3.3A$28.D$A.4A21.D4.A.2A$2A.A2.A25.2A.A$5.2A!
Unfortunately, the old conversion shown on top will not work with the bottom case.
Is there any way of solving the bottom conversion?
User avatar
ElijahKen
Posts: 274
Joined: March 9th, 2024, 7:32 pm

Re: Still Life Synthesis Thread

Post by ElijahKen »

mattiward wrote: August 12th, 2025, 12:58 am

Code: Select all

x = 47, y = 45, rule = LifeHistory
12.A.A26.4B$12.2A27.4B$13.A27.5B$40.7B$14.2A23.7B$2A.2A9.A.A13.2A.2A
4.8B$A3.A9.A15.A3.A3.5B.2B$.3A27.3A3.6B$12.A23.7B$A.4A5.2A17.A.2A4B.
5B$2A.A2.A4.A.A16.2A.A.3B3.3B$5.2A28.3B.B$37.4B$37.5B$39.4B$13.A26.4B
$12.2A27.4B$12.A.A27.3B14$19.3D$18.D3.D$22.D$6.2E13.D16.2E$6.E.E11.D
17.E.E$3.2A.E.E11.D14.2A.E.E$2.A.A.2E26.A.A.2E$.A2.A15.D6.D5.A2.A$A3.
A23.D3.A3.A$.3A6.20D3.3A$28.D$A.4A21.D4.A.2A$2A.A2.A25.2A.A$5.2A!
Unfortunately, the old conversion shown on top will not work with the bottom case.
Is there any way of solving the bottom conversion?
It is likely possible, but won't be easy:

Code: Select all

x = 12, y = 18, rule = B3/S23
6b2o$6bobo$3b2obobo$2bobob2o$bo2bo$o3bo$b3o5b3o$9bo$ob4o$2obo2bo3b2o$
5b2o2bo$9b3o$10bo$o2bo2b3o$ob2obobo3bo$bobo3b3o$2bob2ob2obo$b2o3bo3bo!
Engineering macro-spaceships is hard.
vilc
Posts: 311
Joined: March 20th, 2024, 4:36 pm

Re: Still Life Synthesis Thread

Post by vilc »

mattiward wrote: August 12th, 2025, 12:58 am Is there any way of solving the bottom conversion?
Solved in 5G and a LWSS (probably suboptimal) :

Code: Select all

x = 34, y = 27, rule = B3/S23
26bo$17b2o6bo$17bobo5b3o$14b2obobo$13bobob2o$12bo2bo$11bo3bo$12b3o2$
11bob4o$11b2obo2bo$16b2o7bo$23b2o$b2o21b2o$4o$2ob2o$2b2o$32bo$31b2o$
26b2o3bobo$26bobo$26bo3$32bo$31b2o$31bobo!
I don't mean to pry, but what do you need this conversion for ?

Edit: (unrelated, continuation of my transfer searches)
Reduced xs17_gbdz122c8426 from 14G to 12G :

Code: Select all

x = 19, y = 18, rule = B3/S23
10b2o$9bo2bob2o$9bo2b2obo$7b2o$7bo$5bobo$5b2o4$16b2o$6b3o7bobo$8bo7bo$
b2o4bo$obo$2bo6b3o$9bo$10bo!
The search for xs18 is also complete and yielded 5346 reductions (over 19032 xs18 costing 5G or more).

Edit 2:
The above batch resulted in cascading improvements to about a hundred more still-lifes (1 xs16, 21 xs17, 66 xs18 and 5 larger still-lifes) :

Code: Select all

x = 2560, y = 1232, rule = B3/S23
1057bo$1058b2o$1057b2o448bo$1506bo$1506b3o2$1065bo$1064bo$1064b3o439bo
bo299bo$1506b2o298b2o$1501bobo3bo142bobo154b2o595bo$1502b2o146b2o751bo
$1502bo148bo159bo591b3o$1364bo281bo158b2o2b2o$1363bo283bo156b2o4b2o$
911bo451b3o279b3o158bo$899b2o9bo139bo18bo131b2o2b2o143bo148b2o149b2o
148b2o153bo441bo7bo$899bo10b3o136bobo2b2o13bobo129bo2bobo142bobo148bo
3b2o143bo2bo147bobo150b3o439bobo6bo$737bo162bo3b2o9bo134bobo2bo13b2o
131bob2o144bo4b2o143bobo2bo144b2o150bo149bo443b2o6b3o$598bobo137bo162b
obobo8bo137b2o147b2o148b3o2bo4bo139b2obo297b2o149bo$451bo146b2o136b3o
161b2ob2o9b3o134bo12bo137bo151b2o5bobo139bo146b4o150bo147b2o$445bo4b2o
147bo299bo2bo148bo11bo137bo149b2o8b2o138b2o141b2o3bo2bobo145b4o147bo
446b2o11bo$446b2o2bobo139bo139bo167bobo149b2o9b3o134bo150bo13b2o134bo
143b2o2b2o3bo145bo150bo445b2o10b2o$445b2o146bo139b2o4bo161bo9b2o140bo
14b2o129bo8bo144bo11bobo135bo140bo8bo147bo147b2o439b2o7bo10b2o$5bo585b
3o138b2o5bobo168b2o4b2o134bo14b2o130b2o5b2o144b2o11bo136b2o148bo146bob
o147bo438bo2b3o$4bobo732b2o171bo2b2o135b2o15bo137b2o443b2o145b2o149bo
437b2o4bo$5bo911bo1033bo438b2ob2o$6b3o126b2o2b2o144b2o154bo144bo8b2o
139bo478bo727bo8bo437bo$9bo126bo2bo145bo154bobo142bobo7bobo137bobo470b
2o3b2o729b2o5b2o435bobo10b3o$6b3o126bo4bo145bo153bob3o141bo2b2o4bo139b
o2bo454b3o11b2o5b2o144b3o580b2o443b2o11bo$5bo130b5o146bo7bo142b2o5bo
141b3obo144bobo456bo13bo150bo1041bo$4bobo279b2o5b2o143bo5b2o146bo144bo
456bo166bo574bo457b2o$5bobo130bo149b2o4b2o140bobo150b3o146b3o1196b2o3b
2o450bobo$b2o3b2o129bobo148bobo144bobo150bo151b3o1193b2o5b2o11b3o435bo
5b2o$obo127bobo4b2o150bo146bo150bobo153bo1198bo13bo433b2o7b2o$2bo128b
2o153b3o3bo295bo153bo1214bo431bobo9bo$131bo153bo6b2o448b2o1647bo12b3o$
137b2o146b2o4bobo158bo1951bo$136b2o313b2o1952bo$138bo312bobo120$903bo$
901bobo$902b2o3bo$906bo$906b3o$1943bo$1944bo$902b2o147b2o147bo148b2o
149b2obo151b2o143b2o140b3o8b2o597bo$900bo2bo145bo2b3o144bobo3b2o142bo
2bo147bob4o149bo145bo137bo9b2o2bo598bobo$899bob2o146b2o4bo144bo2bo2bo
143b2obo152bo142b2o5bo143bo139bo8bobobo598b2o$900bo2b3o148bo138bo7b4o
146bo2bo146b2o2b2o142bobob3o143bo138b3o9b2obobo$901b2o2bo139bobo6b2o
138b2o155bob2o146bo149bobo146b3o149bob2o593b2o$448bo290bo162bo143b2o4b
2o139b2o6b2o147b2o147bobo149bo151bo148bo595b2o$448bobo136bobo150bo8bo
151bo144bo6bo146bobo148bo147b2o148bobo150bo139b2o7b2o597bo7bo$448b2o
137b2o149b3o8bobo149b2o148bo148b2o148bo298b2o150bo135b2o4b2o443b2ob2o
147b2o2bo12b2o$582b2o4bo160b2o300b2o141b2o154b2o303bo145b2o135b2o2bo
445bo3bo147bo2bobo11bobo$583b2o461b2o145bobo457b2o4b2o141bo134bo444bo
7b2o150b2obo$450b2o130bo163b2o297b2o148bo314b2o142b2o2b2o142bobo575bob
o6b2o153bo$137b2o146b2o157b2o3b2o135bo3b2o149b2o2b2o300bo452b3o7bobo
147bo142b2o576b2o9bo147b4o$138bo146bo153bo3bobo5bo133bobo2bo148bo2bo4b
o303bo147b2o140b2o159bo7bo287bo590b3obo144bo2bo$137bo148bo5b2o144bobob
o142b2obobo146b3obo308b2o147bobo140b2o3bo147b2o4bo154b2o135b2o4b2o583b
o3bo2bobo144b2o$136bob3o146bo3bobo144bob2o146b2o146bo3bo309bobo146bo
141bo4b2o146bobo158b2o137b2o2b2o584b2o2b2o2bo161b2o$136bo3bo145b2o3bo
145b2o146b2o148bob3o606bobo147bo6b3o151bo135bo589bobo158bo8b2o$135b2o
151b2obo146bo10b2o134bo150bo619b2o145bo1040b2o9bo$288bobo144b3o10b2o
136bo150bo603b2o12b2o147bo291b2o593bo151bobo$135b4o150bo145bo14bo134b
2o149b2o602bobo14bo439b2o591b2o$135bo2bo146bo1056bo453bo593bobo$286b2o
$285b2o4bo$135b2o153b2o$131bo3bobo152bobo$129bobo3bo$130b2o115$1047bob
o$1048b2o$1048bo7bobo$1056b2o444bobo$1051bobo3bo444b2o$1052b2o443bo5bo
142bo$1052bo445b2o144bobo$1343bo153b2o146b2o$1344b2o602bo$443bobo897b
2o3bobo595bobo$443b2o457bobo145b2o148b2o146b2o6bo135bobo6bo140b3o4b2o
148b2o146b2o3b2o$439bo4bo456bob2o144bo2bo147bobo146bo5bobo135b2o5bobob
2o138bo4bobo147bobo149bobo$438bo462bo148b2obo148bo152bo2bobo132bo5bo2b
obo138bo7bo2bo146bo2b2o144bobo$438b3o459b2ob2o148bo147bo150b2obo3b2o
138bobo2bo145b2obobo145b2o2bo145bo291bo$433bobo151bo313bobobo144b2ob2o
145bo149b3obo145bo3b2o147b2o148b2o147b3o289bo$287bobo144b2o151bobo303b
o6bo3bo145bobo146bo145bo3bo144b2o5b3o146b2o149b2o152bo286b3o$281bobo4b
2o3bo140bo148bo3b2o305b2o3bo152bo146b4o140bobo3b2o144b2o6bo146bo149bob
o149b3o$282b2o4bo3bo291bo308b2o4b2o150bo150bo141b2o148bo156bo148b2o
149bo286b2o10bo$282bo9b3o287b3o466b2o148bo448b2o300bo285bo2bo7b2o$
1200bo748b3o288b2o3b2o2bobo$891b2o306bo8bo141b3o596bo291bobo2bo$287b2o
146b2o151b2o300bobo11b2o293b2o5b2o142bo889bo2b2o$288bo146bobobo147bobo
302bo5bo5bobo300b2o142bo446b2o6bo434b2o$287bo149bob3o144bobo308b2o5bo
892bobo5b2o435bo$286bo149b2o4bo143bo2b3o305bobo315bo583bo5bobo432bo$
285bo151bo3b2o144b2o2bo616b2o3b2o1025b2o$285b2o149bo151bo604b3o11b2o5b
2o585b2o$288b2o146b2o147b3o607bo13bo590bobo4bo$285b3o2bo294bo608bo607b
o3b2o$285bo3bobo1514bobo$290bo113$2357bo$2355bobo$2356b2o4$1195bo$
1188bo4bobo147bobo$1189b2o3b2o148b2o$1188b2o154bo8bo$1352bo$1201bo150b
3o447bo$1054bo144bobo3bobo149b2o441b2o$1044bo7b2o146b2o3b2o150bobo441b
2o$1045b2o6b2o151bo150bo433bo4bobo$1044b2o610bo135b2o2b2o$1657bo133b2o
4bo$899b2o148b2o149b2o149b2o147b2o147b2o4b3o145b2o$899bo149bo5bo2b2o
141bo2bo145bo2bo146bobo146bo149b2o2bo$900bo149b3obobo2bo141bobobo144bo
b2o148bo147bo12bo135bobobo$297bobo601bo150bobobobo131b2o8b2o2bo11b2o
131b2o151b2o147bo11bobo127bo6b2obobo$297b2o601b2o6bobo142bo3bo126b2o5b
2o9b2o12bobo131bob2o149bo146b2o11b2o128b2o7bob2o$298bo602bob2o3b2o139b
o135b2o3bo9b2o14bo132bo2bo149bo148bob2o4b2o131bobo7bo$899bo3bobo3bo
138b2o134bo16bo147b2o2bo147bo147bo3bobo3bobo139b2o605bo$899b2o2bobo
137b2o3bobo148bo154bo146b2o146b2o2bobo3bo728b2o16b2o$904bo139b2o153b2o
152b2o147bo151bo734bo2b2o13b2o$443bo465b2o132bo457bo887bobo2bo$443bobo
462b2o590bo887b2o2bobo$141bo144b2o2b2o146b2o3b2o141b2o322bo588bo8bo
864bo16bob2o$139b3o145bo3bo146bobo146bo911b2o5b2o863bobo16bo$138bo146b
o2b3o148bo3b2o141bo920b2o143b3o717b2o15b2o6bobo$135b2o2bo145b3o148b3o
4bobo139bo1068bo742b2o$135bob3o148bo146bo7bo142b3o926bo137bo744bo$287b
o147b2o152bo918b2o3b2o$136b2o148bo149bo151bo904b3o11b2o5b2o$135bobo
148b2o147bo151bo907bo13bo$135b2o3bo150b2o142bobo149b2o905bo901bo$140bo
bo149b2o2bobo137bobo149bo1807bobo$140b2o149bo4b2o139bo150bobo1791b2o
12b2o$135b2o160bo282bobo6b2o1780b2o10b2o$134bobo444b2o1779b2o6bobo9bo
10b2o$136bo444bo1779bobo8bo19bobo$2363bo30bo2$580b2o$579b2o16b2o$581bo
14b2o$598bo1804b2o7bo$2403bobo5b2o$2403bo7bobo3$2413b2o$2372b2o39bobo$
2371bobo39bo$2373bo2$2361b2o$2360bobo$2362bo2$2358b2o58b2o$2357bobo57b
2o$2359bo59bo3bo$2422b2o$2365bo56bobo$2365b2o$2364bobo93$901bo$900bo
747bobo$900b3o745b2o$897bo751bo$895bobo747bo$896b2o745b2o147bo$1644b2o
147b2o$899bo2bobo146b2o147b2o151b2o145bo148b2o141b2o5b2o$899b5obo144bo
b3o144bo2bo150bobo143bobo147bo149bo2bob2o$905bo144bo4bo134bo9b2obo147b
2o2bo144bo2b2o139bo6bo148b4obo$577bobo313b2o6b4o144b2o3b2o135b2o8bo2bo
145bo2b2o146b3obo138b2o4b2o138b2o$147bo430b2o312bobo7bo148b2o137b2o9bo
b2o146b2o153bo136bobo6b2o135bobo8b2o$147bobo428bo315bo5bo150bo148b2o
150bo145bo4b3o146bo138bo9bo$147b2o751b2o150bo148bo149bo144bobo3bo151bo
146bob2o$142bobo906b2o147bo149bo146b2o2bobo145b2o2b2o147bobo$143b2o
1049bo5b2o147bo8bo143bo146bo2bo134b2o$143bo1048bobo154b2o5b2o293b2o
135b2o$1193b2o162b2o138bo289bo$138bob2o145b2o152bo143b2o473b2o435b2o$
136b3obo145bobo150b3o143bo5bo2b2o459bo3b2o304bo130bobo$135bo4bo145bo
151bo147b3obobo2bo459b2o4bo130b2o164b2o3b2o138b3o$136bo3b2o143b2o148b
2o2bo148bobobobo459bobo136b2o148b3o11b2o5b2o137bo$137bo149b2o146bob3o
149bo3bo451b2o145bo152bo13bo144bo$138bo148bo9bo748b2o12b2o282bo$136bob
o149b3o4b2o139b2o607bo14bobo$136b2o153bo4b2o137bobo622bo$290bobo142b2o
147b2o$290b2o286bobo2b2o$579b2o4bo599bo$293b3o144b3o136bo605b2o$295bo
144bo743bobo$294bo141b2o3bo$435bobo$437bo113$1648bo$1649b2o7bo$900bo
747b2o7bo$899bo757b3o$899b3o750bobo156bobo$1653b2o156b2o$1653bo158bo$
1815bobo$900b2o288bo624b2o$901b2o288b2o617bobo3bo$900bo289b2o619b2o$
904b2o147bo10bo135bo151bo148b2o146b2o2bo151bo5bo$903bo2bo145bobo7b2o
135bobo149bobo146bobo146bo2bobob2o146bobo$903bobo144b3o2bo7b2o134bo2bo
148bo2bo145bo2b2o145b2o2bobobo145bob3o$904bo144bo3b3o144bobo147b2o3bo
143b2o4bo148bo2b2o143b2o5bo$901b3o4b3o139b3o148bo141bobo3bo2b3o140bo7b
2o148b2o147bo5b2o$900bo7bo144bo137b3o8b3o139b2o3b3o141bobo7bo296bobo$
901bo7bo142b2o139bo10b3o137bo7bo141b2o5bobo295bobo$902bo289bo14bo139bo
3b2o147bobo297bo$900bobo292b2o9bo139b2o153bo$899bobo293bobo8b2o138bobo
$900bo294bo$1496b2o3b3o$1058b3o436b2o2bo$1058bo437bo5bo$1054b2o3bo$
1053bobo$1055bo124$1055bo$1055bobo$1055b2o$1052bo454bo145bo$1050bobo
143bo295bo13bo140bobo3bobo$1051b2o144b2o287b2o5b2o11b3o133bo4b2o4b2o
149bo$1056bo139b2o289b2o3b2o149b2o3bo153bobo$1046bobo7bobo427bo155b2o
159b2o5bo$1047b2o7b2o753b2o$1047bo146b2o297b2o315b2o$902bo149bo142b2o
3b2o147b2o143b2o5b2o146b2o149bo5b2o$900b3o141bo5b3o141bo6bo143bo3bo2b
2o139bo8bo146bobobo145bobo3bobo$899bo144b2o3bo3b2o146bobo139bobo5b2obo
146bo149bob3o144bo4bo5b2o$900bo142bobo4b3o2bo146b2o140b2o8bo145bo149b
2o4bo144b3obo5bobo$899b2o152bobo148b2o148b2o143bo151bo3b2o147bo6bo$
899bo3b2o147bobo139b2o8bo147b2o145b2o149bo152bo$900bo2bo148bo140bobo5b
2obo146bobo148b2o146b2o150bo$901bobo147b2o142bo4bo2bo140bo6bo147b3o2bo
297b2o$902bo5bo290bobo143b2o3b2o147bo3bobo$908bobo289bo143b2o158bo$
908b2o2$1346b2o$905b3o3b3o433b2o$907bo3bo434bo$906bo5bo127$1357bo$
1355b2o$1356b2o137bo319bo$909bo586b2o317bobo$909bobo448bo134b2o318b2o$
909b2o443b2o2b2o$1353b2o4b2o$1355bo137b2o$901b2o2b2o4b3o135b2o151bo
146b2o143b2o3b2o149b2o2bo154b2o$901bo2bobo4bo137bobo150b3o144bobo141bo
6bo3b2o144bo2bobo148bo3bobo$903b2o7bo138bo2b2o144b2o3bo145bo148bobo2bo
145b2obo7bo140bobobo$905bo137bo7b2o2bo144bo2b2o145bo150b2obo147bobobo
4bo140bo2b2o$903b2o139b2o7b2o146b2o147bobo150bo145b3o3b2o4b3o138b2o$
899b2obo140b2o6b2o149bo146b2ob3o138b2o6b2o146bo150b2o$899bob2o147bobo
148bo153bo136bobo6bo297bobo$1050b2o148bo153bo139bo8bo155b2o139bo9bo$
1044b2o153bo8bo144bo148b2o155bobo148b2o3bo$1043bobo153b2o5b2o145b2o
304bo149bobo2b2o$1045bo161b2o605bobo2$1049b2o164bo$1049bobo156b2o3b2o$
1049bo143b3o11b2o5b2o598bo$1195bo13bo604b2o$1194bo618bobo115$924bo$
923bo$919bo3b3o$918bo$898bo19b3o$888bobo6bo$889b2o6b3o$889bo$894bo$
895b2o449bo$894b2o449bo$1345b3o$901bo449bo142bo$899bobo449bobo141bo13b
o$900b2o449b2o140b3o11b2o5b2o$907bo437b2o161b2o3b2o$906b2o438b2o167bo$
906bobo436bo$1507b2o$899b2o148b2o2bo149b2o149b2o143b2o5b2o142bo148b2o$
899bobo147bo2bobo147bobo144b2o4bo143bo8bo141b3o2b2o142bo5bo2b2o$901bo
148b2obo7bo140bobobo142bobobo146bo152bo2bo143b3obobo2bo$900bob2o147bob
obo4bo140b2o2bobo135bo8b3o146bo148b2obobo146bobobobo$900bobobo145bo3b
2o4b3o139bo3bo136b2o157bo140bo7bo2bo142bo5bo3bo$899b2o2bo145bo151bo
140bobo5b3o146b4o141bo4bobo144b2o$900bo148b2o149bo148bo2bo146bo3b2o
137b3o4b2o141bo3bobo$899bo158b2o139bo8bo141b2o148bo2bo288b2o$899b2o
157bobo138b2o5b2o293bobo287bobo$1058bo148b2o293bo142b2o149bo$1644bobo
149b2o$1215bo430bo148bobo$1208b2o3b2o$1193b3o11b2o5b2o$1195bo13bo$
1194bo!
Attachments
transfer_xs18_filtered.txt
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mattiward
Posts: 43
Joined: February 8th, 2018, 3:19 am

Re: Still Life Synthesis Thread

Post by mattiward »

Here are some conversions that I would like to have solved:

Code: Select all

x = 44, y = 38, rule = LifeHistory
5.A2.A28.2A$5.4A28.2A2$5.4E17.D8.4E$4.E4.E17.D6.E4.E$4.E.2E.E5.14D5.E
.2E.E$.2E.E.2E.E.2E14.D3.2E.E.2E.E.2E$.2E.E4.E.2E13.D4.2E.E4.E.2E$5.
4E26.4E2$7.2E28.2E$7.2E28.2E20$5.2A.2A26.A$6.A.A16.D9.A.A$6.A.A17.D8.
A.A$2.2E.2A.2A.2E3.12D3.2E.2A.2A.2E$2.E9.E13.D4.E9.E$E.E9.E.E10.D3.E.
E9.E.E$2E11.2E14.2E11.2E!
These conversions should be done without altering the yellow regions.
hkoenig
Posts: 299
Joined: June 20th, 2009, 11:40 am

Re: Still Life Synthesis Thread

Post by hkoenig »

I've got five ways to convert a Table-on-Table to Block-on-Table, two of which seem to work.

Code: Select all

x=91, y=103
35bo$36bo$5bo28b3o43bo2bo$5bobo72b4o$5b2o43bo$49bo22bo7b4o$6bo2bo39b3o18b
obo7bo2bo$6b4o61b2o2$2bo3b4o32bobo28b3o$3b2obo2bo33b2o30bo$2b2o39bo30bo2$5b
o$4b2o70bo11b2o$4bobo69b2o10bobo$56b2o17bobo10bo$37bo18bobo$35bobo7bo2bo7b
o29bo$36b2o7b4o36b2o$85bobo$38b3o4b4o$40bo4bo2bo$39bo11$33bobo$12bo21b2o$10b
obo21bo13bo2bo$11b2o35b4o2$48b4o$48bo2bo$14bo2bo57b2o$14b4o56b2ob2o$6bo68b
4o$4bobo7b4o58b2o$5b2o7bo2bo$8b2o$9b2o32bo$8bo27b2o5b2o$37b2o3bobo$36bo10b
2o$46b2o$48bo12bo$60b2o$60bobo5$36b2o$35bobo$37bo8$10b2o$10b2o46b2o$58b2o$10b
4o$6b2obo4bob2o38b4o$6b2obob2obob2o34b2obo4bob2o$9bob2obo26bobo8b2obob2ob
ob2o$9bo4bo27b2o11bob2obo$10b4o28bo12bo4bo$56b4o$2bo7b4o$obo7bo2bo42b4o$b
2o53bo2bo$83b2o$3b3o76b2ob2o$5bo77b4o$4bo79b2o3$6bo11b2o31bo$6b2o10bobo23b
2o5b2o$5bobo10bo26b2o3bobo$44bo10b2o$16bo37b2o$15b2o39bo12bo$15bobo50b2o$68b
obo5$44b2o$43bobo$45bo!
Don't have any Table-on-Table to Hat conversions.
vilc
Posts: 311
Joined: March 20th, 2024, 4:36 pm

Re: Still Life Synthesis Thread

Post by vilc »

There is a 4G table-to-block component in Shinjuku which works here, most likely discovered with QuFince :

Code: Select all

x = 16, y = 26, rule = B3/S23
13bobo$13b2o$14bo3$o10bobo$b2o3bobo2b2o$2o5b2o3bo$7bo6$8bo2bo$8b4o2$8b
4o$7bo4bo$7bob2obo$4b2obob2obob2o$4b2obo4bob2o$8b4o2$10b2o$10b2o!
There is probably no known table-on-table-to-hat converter.
Edit : Correction, there a multistage one by May13 (from the 22-bit still-lifes syntheses project), see viewtopic.php?f=2&t=5863&start=25#p186733 (reduction by Chris857 below)
mvr
Posts: 132
Joined: November 8th, 2009, 4:58 am

Re: Still Life Synthesis Thread

Post by mvr »

I've collected some soups that might be good for synthesis but I'm no good at actually completing them, if anyone wants to have a go...

Code: Select all

x = 28, y = 31, rule = B3/S23
9b2o$8bobo$8b2o$8b2o3$2o$2o7$10b2o$9bo2bo$9bo2bo$10b2o3$9b2o$9b2o2$26b
2o$25bobo$26bo2$6bo$5bobo$5bo2bo$6b2o!

Code: Select all

x = 19, y = 20, rule = B3/S23
2b2o$2b2o8bo4b2o$11b3o3b2o$10b2ob2o2$2o$2o2$15b2o$14bobo$15bo6$10b2o$
9bo2bo$10bobo$11bo!

Code: Select all

x = 29, y = 14, rule = B3/S23
21b2o$21b2o3b2o$2bo22bo2bo$b2o23b2o$2o11b2o$12b2obo$2bo10b2ob2o$15bo7b
2o$22bo2bo$23bob2o$23bo2bo$24bobo$9b2o13b2o$8b2o!

Code: Select all

x = 24, y = 28, rule = B3/S23
12bo$12bo$13bo$12b2o$12b2o$12bo9$21b2o$13b2o5bo2bo$13bo8bo$10b2obobo3b
o2bo$10b2obo3b3o$10bob2o4bo3bo$13b2o7bo$13b3ob4o$13b3ob3o$13bo$bo$obo$
obo$bo!

Code: Select all

x = 37, y = 16, rule = B3/S23
3b2o$3bobo$4bo5$bobo13b2o12bo$3bo4bo8b2o2b2o8bo$o3bo3bobo8bo2b2o7bo$3o
5b2o7b3obo12b2o$17b2o2bo11bo2bo$17b2o15b2o$19bo$6b2o$6b2o!

Code: Select all

x = 24, y = 22, rule = B3/S23
8bo$2o5bobo$2o5bobo$8bo5b2o$13b2obo$13b2obo$15bo6$11b2o$11b2o3b2o$15bo
2bo$15bo2bo$15bobo3$21b2o$20bo2bo$21b2o!

Code: Select all

x = 35, y = 33, rule = B3/S23
22b2o$21bo2bo$22b2o$28bo$27b3o$26bo3bo$26b2ob2o$23bo$22bobo$21bo3bo7bo
$21bo3bo6bobo$21bo3bo6bobo$22bobo8bo$23bo6$11bo$bo8bobo$obo6bo3bo$obo
6bo3bo$bo7bo3bo$10bobo$11bo$4b2ob2o$4bo3bo$5b3o$6bo$11b2o$10bo2bo$11b
2o!
User avatar
KtT
Posts: 602
Joined: December 17th, 2022, 9:29 am

Re: Still Life Synthesis Thread

Post by KtT »

mvr wrote: August 15th, 2025, 1:30 am I've collected some soups that might be good for synthesis but I'm no good at actually completing them, if anyone wants to have a go...
I synthesized 5 of those:

Code: Select all

x = 282, y = 1044, rule = B3/S23
175bo$176b2o$175b2o2$167bo17bo$168b2o16b2o$167b2o16b2o24$281bo$279b2o
$280b2o3$277bo$276bo$276b3o16$86bo$87b2o$o85b2o$b2o$2o$54bo$53bo$53b3o
$2bo$3bo$b3o11$240b2o$240b2o7$119b2o129b2o$118bo2bo127bo2bo$118bo2bo127b
o2bo$119b2o129b2o3$118b2o129b2o$118b2o129b2o2$44b2o89b2o129b2o$43bobo
44b3o41bobo128bobo8b2o$44bo47bo42bo130bo8b2o$91bo185bo$24bo90bo130bo$
23bobo88bobo128bobo$23bo2bo87bo2bo127bo2bo$24b2o89b2o129b2o74$171bo$171b
2o$170bobo100$2bo$3b2o$2b2o2$47bo67bo50bo$47bobo66b2o47bo$47b2o66b2o48b
3o$2bo$obo156bo$b2o156bobo$159b2o15$129b2o$129b2o4$127b2o$127b2o2$38b
2o102b2o$37bobo101bobo$38bo103bo6$33b2o102b2o$32bo2bo100bo2bo$33bobo101b
obo$34bo103bo5$168b2o$168bobo$168bo19$82b2o$81bobo$83bo8$95b2o$94bobo
$96bo10$81b2o$80bobo$82bo100$2bo7bo$obo8bo$b2o6b3o3bo$16bo$14b3o28$201b
o$199bobo$200b2o4$205bo15bo$203bobo13bobo$204b2o14b2o27$249bo$249bo$249b
o2$235b2o15b2o$235b2o15b2o2$252b4o$251bo4bo$251b2o2b2o$253bo3b2o$115b
o137b2obo2bo$115bo141bobo$115bo142bo$118b2o$117bo2bo$118b2o4$252bo$251b
obo$251bobo$252bo4$105bo$104b2o$68bo35bobo$68b2o$67bobo17$124b2o$124b
obo$124bo22$15b3o$17bo$16bo12$15b3o$17bo$16bo3$12b2o$11bobo$4b2o7bo$3b
obo$5bo160b2o$166bobo$166bo100$88bo$86bobo$87b2o$144bo$144bobo$144b2o
3$53bobo$53b2o$o40bo12bo$b2o38bobo$2o39b2o17$109bo125bo$101b2o5bobo116b
2o5bobo$101b2o5bobo116b2o5bobo5b2o$109bo125bo5bo2bo$242b2o8$30b2o80b2o
124b2o$30b2o80b2o124b2o4$35bo81bo125bo$34bobo79bobo123bobo$34bobo79bo
bo123bobo$35bo81bo125bo11$269b2o$269bobo$269bo7$263b2o$262b2o$264bo5$
276b2o$276bobo$276bo$219b2o$218bobo$220bo7$180b2o$179bobo$181bo$204b2o
$203bobo$205bo100$102bo$100b2o$101b2o9$106bo$104b2o$105b2o4$33bobo$34b
2o$34bo$81bobo$81b2o$82bo3$81bobo$81b2o$82bo$96bo$94b2o$76bo18b2o$74b
2o$75b2o8$13bo$14b2o$13b2o3$20bo$21b2o$20b2o2$32bo$33b2o$32b2o16$73b2o
$72b2o$74bo2$85b2o$84b2o$86bo3$92b2o$91b2o$93bo8$30b2o$31b2o$10b2o18b
o$11b2o$10bo$24bo$24b2o$23bobo3$24bo$24b2o$23bobo$72bo$71b2o$71bobo4$
2o$b2o$o9$4b2o$5b2o$4bo!
User avatar
PK22
Posts: 614
Joined: January 25th, 2025, 11:38 am
Location: United Kingdom
Contact:

Re: Still Life Synthesis Thread

Post by PK22 »

I have found a way to synthesise arbitrary 2x4N block arrays in 8N gliders - here are examples for N=11 and N=137:

Code: Select all

x = 129, y = 162, rule = B3/S23
43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo$17b2o$55bo$
54bo$54b3o2$43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$5bo53b2o31bo
bo13b2ob2o13bobo$6b2o86bo13b2ob2o13bo$5b2o11bo$16bobo89b2ob2o$17b2o89b
2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o
31b2o$3o89bobo13b2ob2o13bobo$2bo91bo13b2ob2o13bo$bo$108b2ob2o$108b2ob
2o2$100b3o5b2ob2o5b3o$108b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o31b
2o$3o89bobo13b2ob2o13bobo$2bo91bo13b2ob2o13bo$bo10$3o$2bo$bo!

Code: Select all

x = 129, y = 1674, rule = B3/S23
43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo$17b2o$55bo$
54bo$54b3o2$43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$5bo53b2o31bo
bo13b2ob2o13bobo$6b2o86bo13b2ob2o13bo$5b2o11bo$16bobo89b2ob2o$17b2o89b
2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o
31b2o$3o89bobo13b2ob2o13bobo$2bo91bo13b2ob2o13bo$bo$108b2ob2o$108b2ob
2o2$100b3o5b2ob2o5b3o$108b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o31b
2o$3o89bobo13b2ob2o13bobo$2bo91bo13b2ob2o13bo$bo10$3o$2bo$bo!
The method is based on the following reaction from Pseudo_D4_+1_Test:

Code: Select all

x = 17, y = 21, rule = B3/S23
bo13bo$obo11bobo$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2b
o$obo11bobo$bo13bo4$bo13bo$obo11bobo$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2bo$
o2bo9bo2bo$o2bo9bo2bo$obo11bobo$bo13bo!
Script to generate syntheses for arbitrary 2x4N arrays:

Code: Select all

import golly as g
arraysize = int(g.getstring('This program can create a synthesis for any 2x4N block array. Enter a value for N.'))
g.new('2x'+str(4*arraysize)+' block array synthesis')
g.setalgo('QuickLife')
g.setrule('B3/S23')
stage1 = g.parse('''43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo$17b2o$55bo$54bo$54b3o29$3o$2bo$bo!''')
for x in range(arraysize):
    g.putcells(stage1, 0, 12*x, 1, 0, 0, 1, 'or')
g.run(136)
g.select(g.getrect())
g.copy()
g.reset()
g.paste(100, 18, 'or')
cleanup = g.parse('''8b3o15b3o4$8b3o15b3o$b2o31b2o$obo31bobo$2bo31bo!''')
for x in range(arraysize):
    g.putcells(cleanup, 92, 21 + 12*x, 1, 0, 0, 1, 'or')
You can add two gliders at the top and bottom for an extra row of blocks:

Code: Select all

x = 129, y = 193, rule = B3/S23
3bo55bo$bobo55bobo$2b2o55b2o10$43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b
2o$5b2o11bo$16bobo$17b2o$55bo$54bo$54b3o2$43bo$43bobo13bo$43b2o14bobo$
5bo53b2o47b2ob2o$6b2o100b2ob2o$5b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$
55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o
5b2ob2o5b3o$43b2o14bobo31b2o31b2o$5bo53b2o31bobo13b2ob2o13bobo$6b2o86b
o13b2ob2o13bo$5b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2o
b2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o31b2o$3o89bobo13b2ob2o
13bobo$2bo91bo13b2ob2o13bo$bo$108b2ob2o$108b2ob2o2$100b3o5b2ob2o5b3o$
108b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o31b2o$3o89bobo13b2ob2o13bo
bo$2bo91bo13b2ob2o13bo$bo$108b2ob2o$108b2ob2o8$3o$2bo$bo17$2b2o55b2o$b
obo55bobo$3bo55bo!
This means that all 2x(4N+1) arrays are constructible with 8N+2 gliders, and all 2x(4N+2) arrays are constructible with 8N+4 gliders.
Using the below 1G collision to remove 2 blocks from a 2x(4N+4) array means that all 2x(4N+3) arrays are constructible with 8N+9 gliders:

Code: Select all

x = 8, y = 18, rule = B3/S23
$4bo$3bo$3b3o3$2b2ob2o$2b2ob2o2$2b2ob2o$2b2ob2o2$2b2ob2o$2b2ob2o2$2b2o
b2o$2b2ob2o!
In conclusion, any 2xN block array is constructible in <= 2N + 3 gliders.
User:PK22
Learning miscellaneous programming languages.
User avatar
pifricted
Posts: 1118
Joined: May 25th, 2024, 10:26 am
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Re: Still Life Synthesis Thread

Post by pifricted »

xs40_j1u0u1jzd5o0o5dz6430346 in 11G (-4G):

Code: Select all

x = 37, y = 27, rule = B3/S23
35bo$bo32bo$2bo31b3o$3o8bobo$11b2o$12bo$15bo5bo$15bo5bo$15b2o3b2o2$11b
3o2b2ob2o2b3o$13bobobobobobo$3bo11b2o3b2o10b2o$4b2o25b2o$3b2o10b2o3b2o
11bo$13bobobobobobo$11b3o2b2ob2o2b3o2$15b2o3b2o$15bo5bo$15bo5bo$24bo$
24b2o$23bobo8b3o$3o31bo$2bo32bo$bo!
Old synthesis:

Code: Select all

x = 77, y = 31, rule = B3/S23
43bo$44bo$42b3o29bo$72b2o$73b2o$40bo10bobo$41b2o8b2o$40b2o10bo$55bo5b
o12b3o$55bo5bo12bo$55b2o3b2o13bo$8bo$bo5b2o42b3o2b2ob2o2b3o6b2o$2bo4b
obo43bobobobobobo7b2o$3o52b2o3b2o11bo2$4b3o36bo11b2o3b2o$4bo39b2o7bob
obobobobo$5bo37b2o6b3o2b2ob2o2b3o2$41bo13b2o3b2o$42bo12bo5bo$40b3o12b
o5bo$64bo10b2o$64b2o8b2o$63bobo10bo$42b2o$43b2o$42bo29b3o$72bo$73bo!
Some 2G collisions gives sparks:

Code: Select all

x = 111, y = 30, rule = LifeHistory
12.A7.A$10.2A6.A.AB20.A22.A$9.2B2A6.2A2B20.A19.A.AB2.B4.A26.A7.A$8.4B
8.4B6.A.A8.3A8.A.A9.2A5B2.A25.A.A5.2A$3.A3.4B10.4B4.B2A10.4B5.B2A11.6B
.B3A24.2A6.2A$.A.A3.3B12.4B2.3BA11.4B3.3BA12.9B$2.2AB2.2B14.8B13.3B.4B
15.2B.4B$3.7B15.5B15.7B15.5BD$4.5B17.3B16.5BD16.D2B.2D$5.3B18.2D18.B.
2BD$6.2D8$43.A$2.A20.A17.A.AB$A.AB17.A.AB6.A10.2A2B64.A$.2A2B17.2A2B3.
2A12.4B5.A49.A5.2A$2.4B4.A12.3B2.2B2A12.6B.A48.A.A6.2A$3.4B.2A14.D2BD
3B14.6B3A47.2A$4.5B2A13.D4BD15.D7B$6.4B15.D.2BD14.D2B.4B$5.DBDB36.6B$
4.BDBD37.2D3B$4.B2D39.BDB$5.B!
...is enjoying his teenage time.
User avatar
KtT
Posts: 602
Joined: December 17th, 2022, 9:29 am

Re: Still Life Synthesis Thread

Post by KtT »

BNE14T30 in 23G:

Code: Select all

x = 542, y = 183, rule = B3/S23
332bobo$332b2o$333bo10$331bobo$331b2o$332bo36$367bo$365bobo$366b2o3$76b
o$obo71bobo$b2o72b2o$bo$37bo78bo251bo$36bo78bo250bobo$36b3o76b3o98bo150b
2o$217b2o$216b2o9$500bo$80bo157bo262b2o$80bo157bo261b2o$80bo157bo14bo
141b2o54b2o83b2o$252bobo140bobo53bobo82bobo$85b2o156b2o6bo2bo142bo55b
o84bo$84bo2bo154bo2bo6b2o142bob2o47b2o3bob2o76b2o3bob2o$85b2o156b2o151b
o3bo47bo3bo3bo76bo3bo3bo$394b2ob2obo47bob2ob2obo76bob2ob2obo$256bo136b
obobobo49bobobobo78bobobobo$10b2o60b2o156b2o24bo137bo55bo$10b2o60b2o156b
2o24bo9$72bo157bo$9b3o60bo157bo$72bo157bo$40b2o$39b2o328b2o$41bo328b2o
$369bo4$258b2o171b3o$258bobo107bo64bo$258bo109b2o62bo$367bobo97b3o$467b
o$468bo8$504b3o$506bo$505bo48$149bo$149b2o12bo$148bobo12b2o$162bobo12$
165bo$165b2o$164bobo!
User avatar
pifricted
Posts: 1118
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Re: Still Life Synthesis Thread

Post by pifricted »

xs23_4aar9ir9ic in 10G:

Code: Select all

x = 84, y = 28, rule = B3/S23
20bo$20bobo$20b2o3$21bo$19b2o8bo$20b2o5b2o$28b2o3$68bo$69bo$67b3o3$24b
2o46bo$b2o21bobo44bobo$o2bo20bo46b2o$b2o3$5b3o$7bo10b2o55bob2obo$6bo3b
2o5b2o55bob2ob4o$10bobo6bo54bo8bo$10bo64bob2ob3o$76b2ob2o!
Seems this actually solved...
...is enjoying his teenage time.
Chris857
Posts: 746
Joined: June 10th, 2020, 11:26 pm

Re: Still Life Synthesis Thread

Post by Chris857 »

xs24_ck3123ckz11624611 in 16G from soup.

Code: Select all

x = 224, y = 126, rule = B3/S23
3bo97bobo$4b2o95b2o$3b2o97bo18$17bo$15bobo$16b2o58bo$74b2o$75b2o4$15b
obo$16b2o$16bo$23bo$21bobo$22b2o$81bo$80bo$80b3o14$204b3o5$208b2obo$196b
3o9bob2o$198bo7b2o4b2o$197bo8bo5bo$207bo5bo8bo$206b2o4b2o7bo$208b2obo
9b3o$208bob2o5$213b3o22$21b3o$23bo$22bo$80b2o$80bobo$80bo$87bo$86b2o$
86bobo4$27b2o$28b2o$27bo58b2o$86bobo$86bo18$bo97b2o$b2o95b2o$obo97bo!
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pifricted
Posts: 1118
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Re: Still Life Synthesis Thread

Post by pifricted »

xs23_ciqjiq4ozx6421 -124G to 10G:

Code: Select all

x = 46, y = 32, rule = B3/S23
obo14bobo$b2o15b2o$bo16bo6$10bo$11bo$9b3o$29bo$27b2o$28b2o6bo$5b3o27b
2o$7bo27bobo$6bo15b2o$21b2o$13b2o8bo$12bobo$14bo$30b2o$30bobo$30bo6$44b
2o$43b2o$45bo!

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs23_ciqjiq4ozx6421 costs 134 gliders (true).
#CLL state-numbering golly
x = 1571, y = 136, rule = B3/S23
297bo$297bobo$297b2o$291b2o$290bobo$292bo4b2o$296b2o$298bo33$240bo
$238bobo5bo99bo$239b2o6bo97bo$245b3o97b3o35$155bo228bo$155bobo226b
obo$155b2o221bobo3b2o$115bo263b2o7bobo372bobo$115bobo32bo228bo8b2o
374b2o$115b2o31bobo40bo9bo187bo142bo231bo146bo$149b2o41b2o6bo331bo
bo141bo235b2o9bobo$61bo91bo37b2o7b3o235bo89bo3b2o140b2o91bo143b2o
10b2o$60bo91bo243bobo40b2o88bo145b2o91bo155bo$14bo45b3o48bo40b3o
241b2o40b2o87b3o236b3o101bo45bo$12b2o97bobo275b2o6bo36b2o87bo345bo
44bobo$13b2o96b2o78bo10b2o88b2o94bobo44bo88b2o343b3o43b2o$189bobo
9bo2bo86bo2bo88b2o2bo42b2o2bo5b2o37b2o42b2o8b2o88bo148bo52b2o742bo
$51b2o7b2o39b2o5b2o42b2o36b2o8bo2bo86bo2bo89bo2bo43bo2bo6bobo36bo
2bo50bo2bo42bo2bo38bobo22bo2bo61bo2bo55bobo5bo2bo39bo3bo3bo35bobo
7bo51bo43bo48bo37bo38bo52bo58bo55bo39bo51bo39bo53bo47bo54bo13bo$
16bo34b2o6b2o5bo34b2o4b2o5bobo35b2o40b2o5b2o88b2o91b2o45b2o7bo39b
5o49b5o40b6o37b2o22b6o59b6o54b2o5b6o38bo3b6o34b2o5b5o34bo12b5o39b
5o44b5o33b5o34b5o48b5o54b5o51b5o35b5o47b5o35b5o49b5o43b5o50b5o11b
3o$bo5bo8bobo42bo4bobo40bo4b2o41bo35bobo10bo89bo92bo46bo48bo53bo
45bo66bo64bo66bo35b3o9bo33bo5bo5bo31bobo11bo5bo37bo5bo42bo5bo31bo
5bo32bo5bo46bo5bo52bo5bo49bo5bo33bo5bo45bo5bo33bo5bo47bo5bo41bo5bo
48bo5bo$2bo4bobo6b2o31b4o2bo10b2o31b4o2bo9bo34b4o2bobo36bo3b4o2bob
o83b2o2bobo86b2o2bobo40b2o2bobo42b2o2bobo47b2o2bobo30bobo7bo2bobo
61bo2bobo59bo2bobo7bo53bo2bobo30b2o10bo2bobo38bobo2bobo31b2o11bobo
2bobo36bobo2bobo41bobo2bobo30bobo2bobo31bobo2bobo45bobo2bobo4bo46b
obo2bobo48bobo2bobo32bobo2bobo44bobo2bobo32bobo2bobo13bobo30bobo2b
obo40bobo2bobo5bo41bobo2bobo$3o4b2o40bo2b4o43bo2b4o44bo2b4obo40bo
2b4obo81bo2b4obo84bo2b4obo38bo2b4obo40bo2b4obo37b2o7bob4obo31b2o7b
4obo61b4obo59b4obo5b2o44b2o8b4obo31b2o9b4obo36bobob4obo43b2ob4obo
37b5obo42b5obo31b5obo32b5obo37bo8b5obo4bobo45b5obo49b5obo33b5obo
45b5obo33b5obo7bo5b2o32b5obo41b5obo4bo43b5obo7bo$106b2o4bo44bo48bo
82b2o5bo85b2o5bo39b2o5bo41b2o5bo31b2o6b2o5bo6bo32bo12bo66bo64bo7b
2o44b2o11bo31bo15bo37b2o6bo51bo43bo37bobo8bo37bo38bo39b2o11bo5b2o
51bo55bo39bo51bo39bo6b2o7bo37bo9bo37bo5b3o46bo7bo$54b2o48bo2bo3b2o
42bo48bo89bo92bo46bo38bobo7bo34b2o4bo6bo5bo45bo66b2o63b2o53bo11b2o
46b2o32b2o10b2o50b2o41b3o39b2o5b3o35b3o36b3o39b2o9b3o56b3o53b3o37b
3o49b3o37b3o8b2o41b3o8b2o35b3o52b3o4b2o2b3o$5b2o47b2o6b2o40b2o5bob
o41b2o47b2o88b2o91b2o45b2o38b2o7b2o32bo13b2o4b2o44b2o65bo64bo66bo
47bo34b2o9bo51bo42bo41bo5bo37bo38bo52bo58bo55bo39bo51bo39bo53bo12b
2o33bo14bo39bo7b2o$4bobo4bo49b2o411bo176b3o62bo67bo47bo31bo13bo36b
3o12bo5bo42bo39b2o37bo38bo52bo12bo45bo44bo10bo39bo51bo39bo53bo47bo
11b2o41bo$6bo3b2o51bo136b2o378b2o51bo19bo61b2o5bo60b2o37bo8b2o44b
2o38bo11b2o4bo43bobo33bo41b2o37b2o7bo34bo8b2o11bo45b2o38b2o5b2o7b
2o38b2o50b2o2b2o34b2o2b2o5b2o41b2o2b2o42b2o2b2o8b2o31bobo5b2o2b2o
9b2o$10bobo186b2o379bobo51bo87bobo96b2o93bo18b3o41b2o35b2o86bo36b
2o19b3o44bob2o36b2o3b2o9bob2o33bo2bob2o45bo2bobobo32bo2bobobo5bobo
38bo2bobo2bo6b2o31bo2bobo2bob2o38b2o3bo2bobo2bob2o5bobo$194b2o5bo
273b2o103bo47b2o2b3o87b2o97bobo150b3o38b2o79b2o6b3o33b2o7b2o57bo2b
o36bo15bo2bo34b2o3bo9bo3b2o31b2o3bo34b2o2bo8bo40b2o2bo2b2o6bobo30b
2o2bo2b2ob2o38bo4b2o2bo2b2ob2o5bo$195b2o279b2o149bobo346bo78b2o39b
2o51b2o54bobo3bobo49bo3bobo37bobo5b2o4bobo35b2o102bo49b2o$194bo
280bo101b2o9b3o38bo290b3o10b2o40bo80b2o95b2o5b2o36bo6b2o5b2o39b2o
8b2o3b2o38b2o6b2o3bo190b2o$576bobo9bo134b2o197bo10bobo43b2o35bo38b
o45b3o49b2o5bobo35b2o54b2o155b3o43b3o54bo$201b2o375bo10bo132b2o
197bo11bo45bobo34b2o42b2o39bo58bo36bobo53bo102b3o2b3o47bo47bo$200b
2o430b2o90bo254bo35bobo41b2o41bo45b2o167b2o39bo2bo50bo45bo89b3o$
202bo379b2o49b2o291b2o133bo32b2o52b2o166b2o39bo4bo187bo$577b2o2bob
o48bo37b3o252b2o166bobo110bo111bo230bo$576bobo4bo86bo8b2o237bo8bo
167bo41b2o67b2o8bo33b2o8b3o$578bo92bo6b2o238b2o178b2o38b2o65bobo7b
2o32bobo10bo$680bo236bobo178bobo36bo72b2o3bobo33bo9bo8b2o$731bo
366bo51b2o57bobo57b2o$730b2o419b2o58bo59bo$730bobo417bo2$1158b2o4b
2o$1158bobo3bobo$1158bo5bo11$241b2o$240bobo$242bo$343b2o$342b2o$
344bo!
...is enjoying his teenage time.
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pifricted
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Re: Still Life Synthesis Thread

Post by pifricted »

xs80_g8ow39u0u93wo8gzhaaaaraxaraaaahz123woif0fiow321 in 22G:

Code: Select all

x = 113, y = 44, rule = B3/S23
80bo15bo$81bo13bo$79b3o13b3o$16bo$5bo8bobo7bo$6bo8b2o7bobo$4b3o17b2o65b
o$19bo70bobo$19bobo63b2o3bobo$19b2o64b2o4bo3$8bo$9bo5bo72b2o3b2o11b2o
$7b3o6bo70bo2bobo2bo9bo2bo$b3o10b3o70b2obobob2o10bobo$3bo86bobo14bo$2b
o87bobo$84b2o3b2ob2o3b2o$84bo2bo2bobo2bo2bo11b3o$85b4o5b4o12bo$19b2o50b
o39bo$19bobo50bo12b4o5b4o$7bo11bo50b3o11bo2bo2bobo2bo2bo$5bobo76b2o3b
2ob2o3b2o$6b2o82bobo$75bo14bobo$74bobo10b2obobob2o$74bo2bo9bo2bobo2bo
$24bo50b2o11b2o3b2o$23bo$10b3o10b3o$10bo6b3o$11bo5bo73bo4b2o$18bo71bo
bo3b2o$90bobo$91bo$6b2o$5bobo$7bo$b2o17b3o62b3o13b3o$obo7b2o8bo66bo13b
o$2bo7bobo8bo64bo15bo$10bo!
xs80_0651u0u156z69b87078b96z69d1u0u1d96z06a87078a6 in 14+ G:

Code: Select all

x = 155, y = 119, rule = B3/S23
152bobo$152b2o$153bo35$80bobo$80b2o$81bo$76bo$77bo$50bo24b3o22bo$51bo
47bo$49b3o47b3o10$87bobo$87b2o$88bo2$65bobo$66b2o$66bo4$94bo$93b2o$93b
obo2$60bo$60b2o$59bobo4$53b3o47b3o$55bo47bo$54bo22b3o24bo$77bo$78bo$73b
o$73b2o$72bobo35$bo$b2o$obo!
xs80_0ca1u0u1aczc9b87078b9cz39d1u0u1d93z0358707853 in 20G:

Code: Select all

x = 96, y = 47, rule = B3/S23
13bo$14bo59bo19bo$12b3o60bo17bo$73b3o17b3o3$77b2o11b2o$77b2o11b2o$19b
o$18bo$18b3o2$15bo7bo$2bo13b2o4bo$3b2o10b2o5b3o$2b2o26bobo$30b2o$31bo
$82b2ob2o$77b2obo2bobo2bob2o$76bobob2obobob2obobo$75bo7bobo7bo$12bo6b
3o54b7o3b7o$13bo5bo$11b3o6bo55b7o3b7o$75bo7bobo7bo$76bobob2obobob2obo
bo$77b2obo2bobo2bob2o$82b2ob2o$bo$b2o$obo26b2o$8b3o5b2o10b2o$10bo4b2o
13bo$9bo7bo2$12b3o$14bo$13bo$77b2o11b2o$77b2o11b2o3$73b3o17b3o$18b3o54b
o17bo$18bo55bo19bo$19bo!
...is enjoying his teenage time.
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hotcrystal0
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Re: Still Life Synthesis Thread

Post by hotcrystal0 »

xs19_069a4z4a5139c in 10G, down from 11G:

Code: Select all

x = 50, y = 35, rule = B3/S23
28bo$26b2o$27b2o5$47bo$47bobo$47b2o4$25bo7bo$23bobo6bo$24b2o6b3o9$33b
2o$32b2o$34bo$20b2o$3o17bobo$2bo17bo14b3o$bo33bo$16b2o18bo$15bobo7b3o
$17bo9bo$26bo!
Old synthesis for reference:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs19_069a4z4a5139c costs 11 gliders (true).
#CLL state-numbering golly
x = 105, y = 23, rule = B3/S23
54bo$54bobo$50bo3b2o$10bo40bo$10bobo36b3o$10b2o77bo$87bobo3bobo$
55b2o31b2o3b2o8bo$11bobo40bobo37bo7bobo$11b2o3bobo31b2obobo42b2obo
bo$bo10bo3b2o32b2obo44b2obo$2bo14bo35b2o46b2o$3o50bo2bo33b3o8bo2bo
$55b2o35bo10b2o$91bo2$2o$b2o$o2$4b2o$5b2o$4bo!
135 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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KtT
Posts: 602
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Re: Still Life Synthesis Thread

Post by KtT »

hotcrystal0 wrote: August 25th, 2025, 9:57 am xs19_069a4z4a5139c in 10G, down from 11G:

Code: Select all

x = 50, y = 35, rule = B3/S23
28bo$26b2o$27b2o5$47bo$47bobo$47b2o4$25bo7bo$23bobo6bo$24b2o6b3o9$33b
2o$32b2o$34bo$20b2o$3o17bobo$2bo17bo14b3o$bo33bo$16b2o18bo$15bobo7b3o
$17bo9bo$26bo!
Old synthesis for reference:

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs19_069a4z4a5139c costs 11 gliders (true).
#CLL state-numbering golly
x = 105, y = 23, rule = B3/S23
54bo$54bobo$50bo3b2o$10bo40bo$10bobo36b3o$10b2o77bo$87bobo3bobo$
55b2o31b2o3b2o8bo$11bobo40bobo37bo7bobo$11b2o3bobo31b2obobo42b2obo
bo$bo10bo3b2o32b2obo44b2obo$2bo14bo35b2o46b2o$3o50bo2bo33b3o8bo2bo
$55b2o35bo10b2o$91bo2$2o$b2o$o2$4b2o$5b2o$4bo!
1-glider reduction:

Code: Select all

x = 165, y = 69, rule = B3/S23
52bo$50b2o$51b2o$143bo$141b2o$142b2o5$162bo$162bobo$162b2o$149bo$147b
2o$148b2o9$obo$b2o38bobo$bo39b2o$42bo11$124b3o5$130b2o$129bo2bo$130b2o
17$135b2o$83b3o49bobo$85bo49bo$84bo$99b2o$98bobo$100bo!
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I6_I6
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Re: Still Life Synthesis Thread

Post by I6_I6 »

Hello! I'm a bit new to the synthesis department, but I think it's pretty interesting so I want to learn more about it. Can anyone tell me stuff like how to find components and useful reactions or just sytheses in general?
Also, here's a different 10G synth:

Code: Select all

x = 60, y = 30, rule = B3/S23
$34bo5bo$32bobo4bo$33b2o4b3o7$40b2o$39b2o$41bo$27b2o$9b3o15bobo$11bo
15bo14b3o$10bo31bo$25b2o16bo$3b2o19bobo7b3o$2bobo21bo9bo$4bo30bo5$56b
2o$55b2o$57bo!
And KtT, how did you find a 3G collision that produced that exact positioning of the blinker and the beehive?

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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vilc
Posts: 311
Joined: March 20th, 2024, 4:36 pm

Re: Still Life Synthesis Thread

Post by vilc »

I6_I6 wrote: August 25th, 2025, 1:40 pm Hello! I'm a bit new to the synthesis department, but I think it's pretty interesting so I want to learn more about it. Can anyone tell me stuff like how to find components and useful reactions or just sytheses in general?
Have you looked into Tutorials/Glider_syntheses on the wiki? It is a very good place to get started with all the scripts and databases that are available.
I6_I6 wrote: August 25th, 2025, 1:40 pm And KtT, how did you find a 3G reaction that produced that exact positioning of the blinker and the beehive?
I you want to find if there is a known synthesis of some (small enough) periodic object, the first place to look at is https://catagolue.hatsya.com/object on Catagolue. It will almost always give the cheapest known synthesis. In the case of the blinker and beehive constellation, it immediately gives the synthesis KtT used. There are also some Golly scripts (listed in the tutorial) which can produce a list of 2G, 3G or 4G syntheses for small constellations.
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I6_I6
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Re: Still Life Synthesis Thread

Post by I6_I6 »

Thanks, those are great links!

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
RuleEdit: A .rule file editing tool
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PK22
Posts: 614
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Re: Still Life Synthesis Thread

Post by PK22 »

xs136_y5651u0u156z0ggy3g5t0t5gy3ggz3klkkm0mkl21x12lkm0mkklk3z346w101025is0si520101w643zy5gg2u0u2ggzy5122101221 in 28G:

Code: Select all

x = 171, y = 69, rule = B3/S23
111bobo45bobo$112b2o45b2o$112bo47bo2$149bobo$149b2o$150bo3$102bobo33bo
31bo$103b2o32bo30b2o$103bo33b3o29b2o3$138b2o$137b2o$139bo3$20bo85bo$
19bo87b2o$19b3o84b2o$11bo$9bobo$10b2o3$136bo$30bo105bo$29bo106bo$29b3o
$113bo2bobo$2bo108bobo2b2o$obo109b2o3bo$b2o126b3o9b3o$155bo3b2o$155b2o
2bobo$154bobo2bo$32b2o$32bobo101bo$32bo103bo$136bo$3b3o$5bo$4bo3$165b
2o$23b2o139b2o$23bobo140bo$23bo$13b3o$15bo117bo$14bo119b2o$133b2o3$
103bo29b3o33b2o$103b2o30bo32b2o$102bobo29bo35bo3$122bo$122b2o$121bobo
2$111b2o47b2o$112b2o45b2o$111bo49bo!
Interestingly, in Pseudo_D8_1_Test, based on what has occurred so far, it is the most common 136-cell still life despite being pseudo thanks to its simple formation - it is 3-4 times as common as my profile picture, which is the most common in regular D8_1.
User:PK22
Learning miscellaneous programming languages.
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