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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 gmc_nxtman » August 2nd, 2017, 12:50 am

15.1051 (xs15_69ak8zx1256) in six gliders:

x = 13, y = 24, rule = B3/S23
2bo$obo$b2o3$5bo$6bo$4b3o2$4bo$4b2o$3bobo5$7bo$7b2o$6bobo3bo$10b2o$11b
2o$4bo$4b2o$3bobo!
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Re: 4 glider syntheses

Postby simeks » August 2nd, 2017, 8:49 am

A few more still lifes in 4 gliders:
xs24_4aab96z255d96
xs20_697ob96z0321
xs13_4aarzx123 (13.217)
xs14_o4s079cz01 (14.14)
xs13_354mp3 (13.213)
xs14_3560uic (14.283)
xs16_39e0ehr (16.138)

x = 158, y = 211, rule = LifeHistory
.A$2.A151.A$3A141.A9.A.A$145.A8.2A$143.3A$147.2A$146.2A$148.A18$136.
2A$135.A.A$59.A77.A$59.A.A$59.2A9$44.2A$43.2A$40.2A3.A$41.2A$40.A23$
59.A.A94.A$59.2A93.2A$60.A94.2A4$132.A$122.A.A7.2A$123.2A6.A.A$123.A
11.3A$135.A$136.A13$26.A.A2.2A$27.2A.2A$27.A4.A22$28.2A$29.2A$28.A13$
37.A118.A$38.A116.A$36.3A116.3A12$59.A$58.A$58.3A2$59.A$58.2A$58.A.A
15$136.A.A$137.2A$137.A$135.A$135.2A$134.A.A2$31.2A$32.2A$31.A$137.A$
136.2A$136.A.A18$16.A$14.A.A$15.2A4$59.A$59.A.A$59.2A5$40.2A$39.2A$
36.2A3.A$37.2A$36.A!
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Re: 4 glider syntheses

Postby Goldtiger997 » August 2nd, 2017, 9:33 am

simeks wrote:A few more still lifes in 4 gliders:...

Great work simeks! Is this the result of a new search program? It does not fit with any search programs that I know of. Is the result here from the same program (if so it has a lot of versatility)?
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Re: 4 glider syntheses

Postby simeks » August 2nd, 2017, 5:04 pm

Goldtiger997 wrote:
simeks wrote:A few more still lifes in 4 gliders:...

Great work simeks! Is this the result of a new search program? It does not fit with any search programs that I know of. Is the result here from the same program (if so it has a lot of versatility)?

Thanks! It's not really a search program, but as you correctly guessed, I got curious if that hive/longboat constellation you linked to could be built with 4 gliders.
I threw some code together in about an hour to look for a solution, and then I thought maybe I cound find some new still lifes synthesis with it... My GoLGrid library makes it pretty easy to write something like this, and to identify strict still lifes I already had some code I could borrow from this project.
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Re: 4 glider syntheses

Postby Goldtiger997 » August 3rd, 2017, 8:46 am

simeks wrote:Thanks! It's not really a search program, but as you correctly guessed, I got curious if that hive/longboat constellation you linked to could be built with 4 gliders.
I threw some code together in about an hour to look for a solution, and then I thought maybe I cound find some new still lifes synthesis with it... My GoLGrid library makes it pretty easy to write something like this, and to identify strict still lifes I already had some code I could borrow from this project.


Nice work. Here's a thing you may want to try to find a 4-glider replacement using your code. It is the 5-white gliders dvgrn posted at the bottom of this post, and if it is reduced, the loafer synthesis will probably be reduced to 7 gliders!
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Re: 4 glider syntheses

Postby simeks » August 15th, 2017, 4:52 pm

47 new still-lifes synthesized with 4 gliders:

xs10_0cp3z32, 10.10, 5 -> 4
xs10_178ka4, 10.6, 5 -> 4
xs11_08o652z32, 11.32, 5 -> 4
xs11_178b52, 11.34, 5 -> 4
xs11_256o8go, 11.31, 6 -> 4
xs11_32132ac, 11.41, 6 -> 4
xs11_3586246, 11.45, 5 -> 4
xs12_0ggm96z32, 12.73, 5 -> 4
xs12_6530f9, 12.17, 6 -> 4
xs12_xg84213zca1, 12.31, 5 -> 4
xs13_321fgkc, 13.198, 5 -> 4
xs13_4a960ui, 13.27, 5 -> 4
xs13_g88m96z121, 13.154, 5 -> 4
xs13_wggm93z252, 13.66, 6 -> 4
xs14_08o6952z321, 14.583, 5 -> 4
xs14_0g8ob96z23, 14.483, 5 -> 4
xs14_31egm96, 14.161, 5 -> 4
xs14_69akgkczx1, 14.28, 5 -> 4
xs14_8ehjzw1074, 14.469, 5 -> 4
xs14_g4s079cz11, 14.592, 5 -> 4
xs15_0ggca96z1243, 15.971, 7 -> 4
xs15_0ggmp3z346, 15.625, 7 -> 4
xs15_0gilicz346, 15.558, 5 -> 4
xs15_25960uic, 15.118, 5 -> 4
xs15_3lk453z121, 15.472, 5 -> 4
xs15_69aczw6513, 15.550, 5 -> 4
xs15_69aczx3552, 15.970, 5 -> 4
xs15_69ak8zx1256, 15.1051, 8 -> 4
xs15_g8o6996z121, 15.864, 5 -> 4
xs16_08o0ehrz321, 16.1941, 5 -> 4
xs16_0g8o69a4z3421, 16.2765, 5 -> 4
xs16_259e0e952, 16.10, 5 -> 4
xs16_j1u06acz11, 16.728, 6 -> 4
xs17_2ege1ege2
xs17_2ege1t6zx11
xs17_39u0uiz023
xs17_3lk453z3421
xs18_3lk453z3443
xs18_0c88b96z2553
xs19_178jt069a4
xs19_6ikm9a4z3421
xs19_mlhe0e96z1
xs19_mlhe0eicz1
xs20_02596z6511d96
xs20_259mgmiczx66
xs20_69baa4ozw6511
xs24_259aczcid1d93

x = 941, y = 443, rule = LifeHistory
445.A$443.2A$444.2A6$721.A.A$412.A308.2A$413.A308.A$411.3A$A906.A.A$.
2A904.2A$2A906.A5$125.A$124.A195.A.A$119.2A3.3A193.2A$120.2A199.A$
119.A666.A$426.A360.A$426.A.A356.3A$118.2A306.2A$117.A.A$119.A819.2A$
21.A.A284.3A627.A.A$22.2A51.2A190.A40.A112.3A78.A244.A189.A$22.A53.A
189.A.A34.3A3.A113.A79.2A2.2A237.A.A41.A145.A$27.A46.A92.2A97.2A37.A
116.A32.A46.2A2.2A181.A56.A.A41.2A2.3A138.A$27.A.A44.2A92.A2.A92.2A
38.A54.2A.2A90.A.A51.A41.A.2A92.2A41.A.A55.A41.A.A2.A45.2A.2A89.A$27.
2A46.A92.A.A.A92.A94.A.A.A90.2A93.2A.3A90.A2.2A.A36.2A53.3A48.A43.A.A
.A89.A$73.A95.A.A91.A96.A2.A93.2A.A35.A59.A90.A.A.2A90.A95.2A2.A88.A$
73.2A95.A92.2A96.2A94.A.2A36.2A56.2A31.A59.A94.2A98.2A40.A46.2A$496.
2A91.2A4.A94.A192.A.A$507.A80.2A3.A.A93.2A193.2A$322.2A182.2A86.2A93.
A.A$321.2A183.A.A381.A$323.A564.2A$889.2A$221.A368.3A$211.3A5.2A371.A
$213.A6.2A369.A210.3A$212.A589.A$803.A$107.2A109.2A$108.2A108.A.A663.
3A$107.A110.A667.A$885.A5$31.2A687.2A$31.A.A686.A.A$31.A688.A$233.3A$
233.A$234.A364.2A$599.A.A$599.A38$816.A.A$816.2A$817.A6$214.A$215.A$
213.3A$100.A.A$101.2A$101.A2$591.A$592.A$25.A.A562.3A$26.2A577.A$26.A
576.2A$604.2A$518.A$518.A.A168.A206.3A$518.2A167.A.A201.3A2.A$363.2A
323.2A107.A43.2A50.A3.A$19.A247.A51.A42.A.A93.2A94.2A240.A43.A.A49.A$
20.A245.A.A50.A.A40.A54.2A38.A2.A41.A51.A.A41.A144.A46.2A4.3A41.A97.
2A$18.3A3.A45.A.2A94.A97.A.A50.2A42.A54.2A37.A.A43.2A51.A39.A.A47.2A
3.A90.A.A46.2A46.2A97.A$23.A46.2A.A70.A.A20.A.A.2A91.2A.A92.3A54.A5.
2A30.2A.A43.2A48.4A41.2A47.A.A.A.A89.A2.A.2A41.A50.2A92.2A.A.A$23.3A
47.A.2A59.A7.2A20.A2.A.A52.2A3.3A31.A2.A92.A62.2A32.A94.A.A94.A.A.A
90.2A3.A92.A.A92.A2.2A$73.A2.A59.A.A6.A21.2A2.A53.2A2.A33.A.A57.2A33.
A.A63.A29.A.A94.A96.A2.A93.3A52.2A41.A90.A.A$74.2A60.2A33.2A51.A5.A
33.A58.A.A33.A94.2A94.2A97.2A94.A53.2A42.2A89.2A$315.A7.A175.2A98.3A
199.A$314.2A182.A.A100.A294.A$141.A172.A.A183.A99.A294.2A$140.2A753.A
.A$140.A.A3$424.2A267.2A$395.2A26.2A269.2A202.2A$396.2A27.A267.A204.A
.A$395.A502.A$699.2A$317.2A379.2A$316.2A382.A$318.A2$201.2A282.2A211.
3A$202.2A282.2A210.A$13.2A186.A283.A213.A$12.A.A$14.A43$383.A$381.A.A
$382.2A12$688.A$228.A.A455.A.A$228.2A457.2A$229.A2$317.A567.A$316.A
569.2A$316.3A566.2A$122.2A578.A$123.2A2.3A87.2A393.A89.A.A83.A$11.A4.
A105.A4.A88.A.A382.A8.2A84.2A4.2A82.2A$9.A.A5.2A56.A52.A42.2A45.A47.A
285.A46.A.A9.2A34.A47.A.A45.A43.2A$10.2A4.2A56.A.A93.A.A50.A41.A.A
129.A57.2A2.2A90.A.A46.2A44.A.A48.A44.A.A97.2A95.2A$73.A2.A93.A51.2A
42.A.A129.A56.A4.A90.A2.A41.A49.A2.A92.A2.A95.A2.A33.2A58.A.A$73.3A
95.A50.A.A43.A52.2A35.2A36.3A57.4A92.3A39.A.A50.3A50.2A41.2A.A41.A52.
A2.A32.A.A58.A$71.2A95.4A92.4A53.A.A33.A2.A.2A231.2A102.A.A43.A42.2A
49.2A.2A35.A55.2A.A.A$14.2A54.A2.A93.A95.A51.A5.A36.A.A.A.A91.2A96.3A
92.3A49.A43.A.A39.A.A48.A.A42.3A50.A2.2A$13.A.A55.A.A55.2A36.A.A93.A.
A47.2A44.A2.A.A90.A.A95.A2.A92.A2.A93.A.A49.2A38.A.A42.A50.A.A$15.A
56.A55.2A38.2A94.2A48.2A46.2A92.A96.2A43.2A50.2A95.2A49.A.A38.A44.A
49.2A$121.3A6.A374.A.A91.2A197.A$123.A372.A.A7.2A90.A$122.A302.A71.2A
7.A5.A$317.2A104.2A72.A12.2A$31.2A284.A.A98.A5.2A85.2A375.3A$31.A.A
170.A112.A101.2A467.A$31.A172.2A212.2A469.A$203.A.A4$799.2A$798.2A$
534.3A263.A$534.A$535.A54$525.A$525.A.A$525.2A4$15.A.A$16.2A$16.A2$
392.A397.A82.A.A$390.A.A398.2A81.2A$391.2A397.2A5.A76.A$705.A89.2A$
107.A.A595.A.A88.2A$108.2A595.2A93.A$108.A690.A$213.A201.3A381.3A$
214.2A199.A$74.A138.2A93.A107.A230.2A2.2A90.2A2.2A93.2A$73.A.A233.2A
240.2A94.A4.A90.A4.A93.A.A57.A$73.A2.A45.A139.2A44.2A100.2A46.2A40.2A
4.2A43.A.A.2A47.2A42.4A92.4A91.A4.A55.2A$71.2A.2A40.A4.A140.A.A.2A92.
A42.2A6.2A41.2A.A2.A38.A.A3.2A46.A.A47.A.A233.5A57.2A28.2A.2A2.A$70.A
.A44.2A2.3A41.2A3.2A47.A.A42.A.A.A87.2A.A.A.2A39.2A4.A44.A.A.2A40.A5.
A44.2A.A49.A42.2A94.2A186.A.A2.A.A$69.A2.A43.2A46.A2.A.A2.A41.2A3.2A
43.A2.2A88.A.A.A.A39.A51.A.A.A93.A.2A52.3A35.A2.A92.A2.A92.3A90.A2.A.
A2.A$69.A.A93.A.A.A.A43.2A3.A41.A.A46.3A43.A.A.A.A92.A2.A93.A55.A37.A
.A93.A2.A91.A2.A48.A42.A.A2.2A$70.A95.2A.2A43.A47.2A49.A44.A3.A94.2A
93.2A56.A37.A95.2A93.2A47.2A44.2A$312.A288.2A286.2A$211.2A389.2A$29.A
182.2A387.A97.A$24.A4.A.A179.A485.2A189.2A$22.A.A4.2A667.2A188.A.A$
23.2A599.2A262.A$41.2A68.3A509.2A$41.A.A69.A511.A74.2A$41.A70.A586.2A
$701.A8$486.3A$347.3A138.A$347.A139.A$348.A2$293.2A$294.2A$293.A376.
2A$671.2A$670.A12$744.2A$743.A.A$745.A28$408.A.A$409.2A$409.A9$600.A.
A$214.A.A383.2A$215.2A384.A$215.A3$203.A111.A.A$204.2A109.2A330.2A$
203.2A111.A43.2A40.A243.A2.A$74.A235.A48.A2.A40.2A49.2A95.2A94.A2.A$
19.2A49.2A.A.A145.A.A85.A50.A.A39.2A49.A2.A.2A90.A.3A93.3A$18.A.A49.A
.2A2.A89.2A3.A50.2A3.2A33.2A45.3A49.A92.A.A.A.A89.A4.A$20.A53.2A89.A
2.A.A.A49.A3.2A33.A2.A.2A187.A4.A43.A46.4A.A91.5A$24.3A44.3A91.2A.A.A
.A55.A32.2A.A.A.A90.5A92.4A45.2A49.A90.A4.A$24.A6.2A37.A2.A94.A.2A92.
A.A.A89.A5.A40.3A96.2A47.3A90.A.A.A$25.A5.A.A36.A.A92.3A93.3A3.A90.2A
2.A.A42.A48.2A37.A.A54.A41.2A50.A.A.2A$31.A39.A93.A95.A49.3A48.2A42.A
49.2A38.2A12.A41.2A39.2A5.2A45.A$121.A4.2A183.A184.A12.A85.A4.A.A$
116.A4.A.A2.A.A183.A196.3A77.2A9.A$23.3A88.A.A4.2A3.A192.2A267.A.A$
25.A84.A4.2A201.2A270.A$24.A83.A.A209.A$109.2A7$522.2A$521.2A$523.A5$
437.3A$437.A$438.A!
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Re: 4 glider syntheses

Postby Sokwe » August 15th, 2017, 8:49 pm

simeks wrote:47 new still-lifes synthesized with 4 gliders

Very impressive! I especially like the twin hat synthesis.

I presume that you are finding these by enumerating subsets of 4-glider syntheses. If that's so, are you also finding any new 5-glider syntheses in which 4 gliders form an object and some debris with a fifth glider for cleanup?

I noticed that almost all of these syntheses involve a single glider crashing into a 3-glider collision. One, however, involves the collision of two 2-glider collisions. Is this just a fluke, or are you testing both types of collisions?
-Matthias Merzenich
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Re: 4 glider syntheses

Postby simeks » August 16th, 2017, 4:32 am

Sokwe wrote:I presume that you are finding these by enumerating subsets of 4-glider syntheses.

It's a very simple search that ducks the complications of enumerating collisions correctly: It just places 4 gliders, each within one of the boxes below picked at random, at random coordinates and phases, but each headed towards the center.

The sizes shown below are the actual sizes of the boxes used for this search - 64 lanes wide and 160 generations deep:

Then it just runs the pattern until it stabilizes and checks if the result is a single strict still-life. It also imports a list of previously known still-lifes that don't need to be reported as results.

x = 198, y = 198, rule = LifeHistory
33.D130.D$32.3D128.3D$31.5D126.5D$30.7D124.7D$29.9D122.9D$28.11D120.
11D$27.13D118.13D$26.15D116.15D$25.17D114.17D$24.19D112.19D$23.21D
110.21D$22.23D108.23D$21.25D106.25D$20.27D104.27D$19.29D102.29D$18.
31D100.31D$17.33D98.33D$16.35D96.35D$15.37D94.37D$14.39D92.39D$13.41D
90.41D$12.43D88.43D$11.45D86.45D$10.47D84.47D$9.49D82.49D$8.51D80.51D
$7.53D78.53D$6.55D76.55D$5.57D74.57D$4.59D72.59D$3.61D70.61D$2.63D68.
63D$.65D66.65D$67D64.67D$.67D62.67D$2.67D60.67D$3.67D58.67D$4.67D56.
67D$5.67D54.67D$6.67D52.67D$7.67D50.67D$8.67D48.67D$9.65D50.65D$10.
63D52.63D$11.61D54.61D$12.52DCDC4D56.59D$13.52D2C3D58.57D$14.51DC3D
60.20DCDC32D$15.53D62.19D2C32D$16.51D64.19DC31D$17.49D66.21DC27D$18.
47D68.20DCDC24D$19.45D70.19D2C24D$20.43D72.43D$21.41D74.41D$22.39D76.
39D$23.37D78.37D$24.35D80.35D$25.33D82.33D$26.31D84.31D$27.29D86.29D$
28.27D88.27D$29.25D90.25D$30.23D92.23D$31.21D94.21D$32.19D96.19D$33.
17D98.17D$34.15D100.15D$35.13D102.13D$36.11D104.11D$37.9D106.9D$38.7D
108.7D$39.5D110.5D$40.3D112.3D$41.D114.D49$41.D114.D$40.3D112.3D$39.
5D110.5D$38.7D108.7D$37.9D106.9D$36.11D104.11D$35.13D102.13D$34.15D
100.15D$33.17D98.17D$32.19D96.19D$31.21D94.21D$30.23D92.23D$29.25D90.
25D$28.27D88.27D$27.29D86.29D$26.31D84.31D$25.33D82.33D$24.35D80.35D$
23.37D78.37D$22.39D76.39D$21.41D74.41D$20.43D72.43D$19.45D70.45D$18.
47D68.47D$17.49D66.49D$16.51D64.51D$15.53D62.53D$14.55D60.55D$13.57D
58.57D$12.59D56.59D$11.61D54.61D$10.63D52.63D$9.65D50.65D$8.67D48.67D
$7.67D50.67D$6.67D52.67D$5.67D54.67D$4.67D56.67D$3.67D58.67D$2.67D60.
67D$.67D62.67D$67D64.67D$.65D66.65D$2.63D68.63D$3.61D70.61D$4.59D72.
59D$5.57D74.57D$6.55D76.55D$7.53D78.53D$8.51D80.51D$9.49D82.49D$10.
47D84.47D$11.45D86.45D$12.43D88.43D$13.41D90.41D$14.39D92.39D$15.3D3C
31D94.37D$16.4DC30D96.35D$17.2DC30D98.33D$18.31D100.31D$19.29D102.29D
$20.27D104.27D$21.25D106.25D$22.23D108.23D$23.21D110.21D$24.19D112.
19D$25.17D114.17D$26.15D116.15D$27.13D118.13D$28.11D120.11D$29.9D122.
9D$30.7D124.7D$31.5D126.5D$32.3D128.3D$33.D130.D!

The search that found 47 new still-lifes repeated this about 130 billion times, which took 10 CPU days (150000 patterns/second).
It was also able to find 179 of the 186 still-lifes previously known to be synthesizable with 4 or less gliders.

Sokwe wrote:If that's so, are you also finding any new 5-glider syntheses in which 4 gliders form an object and some debris with a fifth glider for cleanup?

It would be easy to add this. And to look for oscillators, pseudo still-lifes, non-standard spaceships etc.

Sokwe wrote:I noticed that almost all of these syntheses involve a single glider crashing into a 3-glider collision. One, however, involves the collision of two 2-glider collisions. Is this just a fluke, or are you testing both types of collisions?

As I've described above, all possible types are tested within the limits of the boxes where gliders may be places. My guess is that previous searches haven't looked a lot for collisions where the last glider enters much later than the first three, so that those synthesis that remain to be discovered are mostly of that type.
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Re: 4 glider syntheses

Postby hkoenig » August 16th, 2017, 1:56 pm

You might want to not limit the results to stable objects. Ways of getting 4 gliders to result in an oscillator, especially one with a period greater than 2, would be worth knowing.
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Re: 4 glider syntheses

Postby BlinkerSpawn » August 16th, 2017, 4:13 pm

hkoenig wrote:You might want to not limit the results to stable objects. Ways of getting 4 gliders to result in an oscillator, especially one with a period greater than 2, would be worth knowing.

simeks wrote:
Sokwe wrote:If that's so, are you also finding any new 5-glider syntheses in which 4 gliders form an object and some debris with a fifth glider for cleanup?

It would be easy to add this. And to look for oscillators, pseudo still-lifes, non-standard spaceships etc.
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Re: 4 glider syntheses

Postby BobShemyakin » August 17th, 2017, 12:35 pm

simeks wrote:
Sokwe wrote:I presume that you are finding these by enumerating subsets of 4-glider syntheses.

It's a very simple search that ducks the complications of enumerating collisions correctly: It just places 4 gliders, each within one of the boxes below picked at random, at random coordinates and phases, but each headed towards the center.

The sizes shown below are the actual sizes of the boxes used for this search - 64 lanes wide and 160 generations deep:

Then it just runs the pattern until it stabilizes and checks if the result is a single strict still-life. It also imports a list of previously known still-lifes that don't need to be reported as results.

x = 198, y = 198, rule = LifeHistory
33.D130.D$32.3D128.3D$31.5D126.5D$30.7D124.7D$29.9D122.9D$28.11D120.
11D$27.13D118.13D$26.15D116.15D$25.17D114.17D$24.19D112.19D$23.21D
110.21D$22.23D108.23D$21.25D106.25D$20.27D104.27D$19.29D102.29D$18.
31D100.31D$17.33D98.33D$16.35D96.35D$15.37D94.37D$14.39D92.39D$13.41D
90.41D$12.43D88.43D$11.45D86.45D$10.47D84.47D$9.49D82.49D$8.51D80.51D
$7.53D78.53D$6.55D76.55D$5.57D74.57D$4.59D72.59D$3.61D70.61D$2.63D68.
63D$.65D66.65D$67D64.67D$.67D62.67D$2.67D60.67D$3.67D58.67D$4.67D56.
67D$5.67D54.67D$6.67D52.67D$7.67D50.67D$8.67D48.67D$9.65D50.65D$10.
63D52.63D$11.61D54.61D$12.52DCDC4D56.59D$13.52D2C3D58.57D$14.51DC3D
60.20DCDC32D$15.53D62.19D2C32D$16.51D64.19DC31D$17.49D66.21DC27D$18.
47D68.20DCDC24D$19.45D70.19D2C24D$20.43D72.43D$21.41D74.41D$22.39D76.
39D$23.37D78.37D$24.35D80.35D$25.33D82.33D$26.31D84.31D$27.29D86.29D$
28.27D88.27D$29.25D90.25D$30.23D92.23D$31.21D94.21D$32.19D96.19D$33.
17D98.17D$34.15D100.15D$35.13D102.13D$36.11D104.11D$37.9D106.9D$38.7D
108.7D$39.5D110.5D$40.3D112.3D$41.D114.D49$41.D114.D$40.3D112.3D$39.
5D110.5D$38.7D108.7D$37.9D106.9D$36.11D104.11D$35.13D102.13D$34.15D
100.15D$33.17D98.17D$32.19D96.19D$31.21D94.21D$30.23D92.23D$29.25D90.
25D$28.27D88.27D$27.29D86.29D$26.31D84.31D$25.33D82.33D$24.35D80.35D$
23.37D78.37D$22.39D76.39D$21.41D74.41D$20.43D72.43D$19.45D70.45D$18.
47D68.47D$17.49D66.49D$16.51D64.51D$15.53D62.53D$14.55D60.55D$13.57D
58.57D$12.59D56.59D$11.61D54.61D$10.63D52.63D$9.65D50.65D$8.67D48.67D
$7.67D50.67D$6.67D52.67D$5.67D54.67D$4.67D56.67D$3.67D58.67D$2.67D60.
67D$.67D62.67D$67D64.67D$.65D66.65D$2.63D68.63D$3.61D70.61D$4.59D72.
59D$5.57D74.57D$6.55D76.55D$7.53D78.53D$8.51D80.51D$9.49D82.49D$10.
47D84.47D$11.45D86.45D$12.43D88.43D$13.41D90.41D$14.39D92.39D$15.3D3C
31D94.37D$16.4DC30D96.35D$17.2DC30D98.33D$18.31D100.31D$19.29D102.29D
$20.27D104.27D$21.25D106.25D$22.23D108.23D$23.21D110.21D$24.19D112.
19D$25.17D114.17D$26.15D116.15D$27.13D118.13D$28.11D120.11D$29.9D122.
9D$30.7D124.7D$31.5D126.5D$32.3D128.3D$33.D130.D!

The search that found 47 new still-lifes repeated this about 130 billion times, which took 10 CPU days (150000 patterns/second).
It was also able to find 179 of the 186 still-lifes previously known to be synthesizable with 4 or less gliders.
...

This is great! 47 new still life-it's cool!
My SpaceBattle program works about as well.

For 4G synthesis more effectively attack 2G set by two gliders from all possible directions. Because 2G set limited (71) and many of them short-lived, this should dramatically reduce the amount of computation (at least one of the gliders must reacts with 2G).

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Re: 4 glider syntheses

Postby BlinkerSpawn » August 17th, 2017, 3:43 pm

BobShemyakin wrote:For 4G synthesis more effectively attack 2G set by two gliders from all possible directions. Because 2G set limited (71) and many of them short-lived, this should dramatically reduce the amount of computation (at least one of the gliders must reacts with 2G).

Bob Shemyakin

The thing about simeks' program is that it doesn't need to discriminate between 2G + 2G or 2G + G + G or 3G + G collisions; it just places four gliders over and over and over and over.
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Re: 4 glider syntheses

Postby mniemiec » August 17th, 2017, 6:21 pm

BlinkerSpawn wrote:The thing about simeks' program is that it doesn't need to discriminate between 2G + 2G or 2G + G + G or 3G + G collisions; it just places four gliders over and over and over and over.

I think what Bob was trying to get at is that, in most cases, four random gliders in a field will either produce a (posibly also trivial) interaction with 3 gliders with the 4th glider getting away, or two gilders will die or form a simple object/pseudo-object/constellation, and then the other two will hit that. The first cast would be better handled by eliminating it as a total waste of time, as would half of the second. The other half of the second would be better handled by doing two-glider collisions into small stable objects, since that object could be formed in many ways (i.e. two gliders with variable delays, in some cases multiple collisions, and in most cases, multiple input directions).
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Re: 4 glider syntheses

Postby gmc_nxtman » August 19th, 2017, 12:11 pm

Alternate 4G synthesis of beehive and dock:

x = 18, y = 19, rule = B3/S23
16bo$15bo$15b3o6$5bo$6bo$4b3o2$4b3o$4bo$5bo2$3o$2bo$bo!
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Re: 4 glider syntheses

Postby drc » August 19th, 2017, 2:48 pm

gmc_nxtman wrote:Alternate 4G synthesis of beehive and dock:

x = 18, y = 19, rule = B3/S23
16bo$15bo$15b3o6$5bo$6bo$4b3o2$4b3o$4bo$5bo2$3o$2bo$bo!

That doesn't look right. Can't that not be rewinded or am I seeing things?
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Re: 4 glider syntheses

Postby BlinkerSpawn » August 19th, 2017, 3:01 pm

drc wrote:
gmc_nxtman wrote:Alternate 4G synthesis of beehive and dock:

x = 18, y = 19, rule = B3/S23
16bo$15bo$15b3o6$5bo$6bo$4b3o2$4b3o$4bo$5bo2$3o$2bo$bo!

That doesn't look right. Can't that not be rewinded or am I seeing things?

Correct; the center gliders would've interacted two generations previously.
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Re: 4 glider syntheses

Postby gmc_nxtman » August 19th, 2017, 3:49 pm

Ouch, that's such a simple mistake that I don't know how I missed it. However, it does allow for this component which can add a dock to a length-1 surface:

x = 80, y = 19, rule = B3/S23
40bo31bo$41bo31bo$39b3o29b3o2$42bobo29bobo$42b2o30b2o$bo31bo9bo31bo$ob
o14bo14bobo$bo9bo5bobo13bo$10bo6b2o46bo$10b3o51bobo$40bo24bo6bo$17b2o
21b2o30b2o$11b3o2b2o21bobo29bobo$11bo6bo$12bo$46b2o30b2o$45b2o30b2o$
47bo31bo!
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Re: 4 glider syntheses

Postby BobShemyakin » September 14th, 2017, 3:54 pm

simeks wrote:47 new still-lifes synthesized with 4 gliders:
...
x = 941, y = 443, rule = LifeHistory
445.A$443.2A$444.2A6$721.A.A$412.A308.2A$413.A308.A$411.3A$A906.A.A$.
2A904.2A$2A906.A5$125.A$124.A195.A.A$119.2A3.3A193.2A$120.2A199.A$
119.A666.A$426.A360.A$426.A.A356.3A$118.2A306.2A$117.A.A$119.A819.2A$
21.A.A284.3A627.A.A$22.2A51.2A190.A40.A112.3A78.A244.A189.A$22.A53.A
189.A.A34.3A3.A113.A79.2A2.2A237.A.A41.A145.A$27.A46.A92.2A97.2A37.A
116.A32.A46.2A2.2A181.A56.A.A41.2A2.3A138.A$27.A.A44.2A92.A2.A92.2A
38.A54.2A.2A90.A.A51.A41.A.2A92.2A41.A.A55.A41.A.A2.A45.2A.2A89.A$27.
2A46.A92.A.A.A92.A94.A.A.A90.2A93.2A.3A90.A2.2A.A36.2A53.3A48.A43.A.A
.A89.A$73.A95.A.A91.A96.A2.A93.2A.A35.A59.A90.A.A.2A90.A95.2A2.A88.A$
73.2A95.A92.2A96.2A94.A.2A36.2A56.2A31.A59.A94.2A98.2A40.A46.2A$496.
2A91.2A4.A94.A192.A.A$507.A80.2A3.A.A93.2A193.2A$322.2A182.2A86.2A93.
A.A$321.2A183.A.A381.A$323.A564.2A$889.2A$221.A368.3A$211.3A5.2A371.A
$213.A6.2A369.A210.3A$212.A589.A$803.A$107.2A109.2A$108.2A108.A.A663.
3A$107.A110.A667.A$885.A5$31.2A687.2A$31.A.A686.A.A$31.A688.A$233.3A$
233.A$234.A364.2A$599.A.A$599.A38$816.A.A$816.2A$817.A6$214.A$215.A$
213.3A$100.A.A$101.2A$101.A2$591.A$592.A$25.A.A562.3A$26.2A577.A$26.A
576.2A$604.2A$518.A$518.A.A168.A206.3A$518.2A167.A.A201.3A2.A$363.2A
323.2A107.A43.2A50.A3.A$19.A247.A51.A42.A.A93.2A94.2A240.A43.A.A49.A$
20.A245.A.A50.A.A40.A54.2A38.A2.A41.A51.A.A41.A144.A46.2A4.3A41.A97.
2A$18.3A3.A45.A.2A94.A97.A.A50.2A42.A54.2A37.A.A43.2A51.A39.A.A47.2A
3.A90.A.A46.2A46.2A97.A$23.A46.2A.A70.A.A20.A.A.2A91.2A.A92.3A54.A5.
2A30.2A.A43.2A48.4A41.2A47.A.A.A.A89.A2.A.2A41.A50.2A92.2A.A.A$23.3A
47.A.2A59.A7.2A20.A2.A.A52.2A3.3A31.A2.A92.A62.2A32.A94.A.A94.A.A.A
90.2A3.A92.A.A92.A2.2A$73.A2.A59.A.A6.A21.2A2.A53.2A2.A33.A.A57.2A33.
A.A63.A29.A.A94.A96.A2.A93.3A52.2A41.A90.A.A$74.2A60.2A33.2A51.A5.A
33.A58.A.A33.A94.2A94.2A97.2A94.A53.2A42.2A89.2A$315.A7.A175.2A98.3A
199.A$314.2A182.A.A100.A294.A$141.A172.A.A183.A99.A294.2A$140.2A753.A
.A$140.A.A3$424.2A267.2A$395.2A26.2A269.2A202.2A$396.2A27.A267.A204.A
.A$395.A502.A$699.2A$317.2A379.2A$316.2A382.A$318.A2$201.2A282.2A211.
3A$202.2A282.2A210.A$13.2A186.A283.A213.A$12.A.A$14.A43$383.A$381.A.A
$382.2A12$688.A$228.A.A455.A.A$228.2A457.2A$229.A2$317.A567.A$316.A
569.2A$316.3A566.2A$122.2A578.A$123.2A2.3A87.2A393.A89.A.A83.A$11.A4.
A105.A4.A88.A.A382.A8.2A84.2A4.2A82.2A$9.A.A5.2A56.A52.A42.2A45.A47.A
285.A46.A.A9.2A34.A47.A.A45.A43.2A$10.2A4.2A56.A.A93.A.A50.A41.A.A
129.A57.2A2.2A90.A.A46.2A44.A.A48.A44.A.A97.2A95.2A$73.A2.A93.A51.2A
42.A.A129.A56.A4.A90.A2.A41.A49.A2.A92.A2.A95.A2.A33.2A58.A.A$73.3A
95.A50.A.A43.A52.2A35.2A36.3A57.4A92.3A39.A.A50.3A50.2A41.2A.A41.A52.
A2.A32.A.A58.A$71.2A95.4A92.4A53.A.A33.A2.A.2A231.2A102.A.A43.A42.2A
49.2A.2A35.A55.2A.A.A$14.2A54.A2.A93.A95.A51.A5.A36.A.A.A.A91.2A96.3A
92.3A49.A43.A.A39.A.A48.A.A42.3A50.A2.2A$13.A.A55.A.A55.2A36.A.A93.A.
A47.2A44.A2.A.A90.A.A95.A2.A92.A2.A93.A.A49.2A38.A.A42.A50.A.A$15.A
56.A55.2A38.2A94.2A48.2A46.2A92.A96.2A43.2A50.2A95.2A49.A.A38.A44.A
49.2A$121.3A6.A374.A.A91.2A197.A$123.A372.A.A7.2A90.A$122.A302.A71.2A
7.A5.A$317.2A104.2A72.A12.2A$31.2A284.A.A98.A5.2A85.2A375.3A$31.A.A
170.A112.A101.2A467.A$31.A172.2A212.2A469.A$203.A.A4$799.2A$798.2A$
534.3A263.A$534.A$535.A54$525.A$525.A.A$525.2A4$15.A.A$16.2A$16.A2$
392.A397.A82.A.A$390.A.A398.2A81.2A$391.2A397.2A5.A76.A$705.A89.2A$
107.A.A595.A.A88.2A$108.2A595.2A93.A$108.A690.A$213.A201.3A381.3A$
214.2A199.A$74.A138.2A93.A107.A230.2A2.2A90.2A2.2A93.2A$73.A.A233.2A
240.2A94.A4.A90.A4.A93.A.A57.A$73.A2.A45.A139.2A44.2A100.2A46.2A40.2A
4.2A43.A.A.2A47.2A42.4A92.4A91.A4.A55.2A$71.2A.2A40.A4.A140.A.A.2A92.
A42.2A6.2A41.2A.A2.A38.A.A3.2A46.A.A47.A.A233.5A57.2A28.2A.2A2.A$70.A
.A44.2A2.3A41.2A3.2A47.A.A42.A.A.A87.2A.A.A.2A39.2A4.A44.A.A.2A40.A5.
A44.2A.A49.A42.2A94.2A186.A.A2.A.A$69.A2.A43.2A46.A2.A.A2.A41.2A3.2A
43.A2.2A88.A.A.A.A39.A51.A.A.A93.A.2A52.3A35.A2.A92.A2.A92.3A90.A2.A.
A2.A$69.A.A93.A.A.A.A43.2A3.A41.A.A46.3A43.A.A.A.A92.A2.A93.A55.A37.A
.A93.A2.A91.A2.A48.A42.A.A2.2A$70.A95.2A.2A43.A47.2A49.A44.A3.A94.2A
93.2A56.A37.A95.2A93.2A47.2A44.2A$312.A288.2A286.2A$211.2A389.2A$29.A
182.2A387.A97.A$24.A4.A.A179.A485.2A189.2A$22.A.A4.2A667.2A188.A.A$
23.2A599.2A262.A$41.2A68.3A509.2A$41.A.A69.A511.A74.2A$41.A70.A586.2A
$701.A8$486.3A$347.3A138.A$347.A139.A$348.A2$293.2A$294.2A$293.A376.
2A$671.2A$670.A12$744.2A$743.A.A$745.A28$408.A.A$409.2A$409.A9$600.A.
A$214.A.A383.2A$215.2A384.A$215.A3$203.A111.A.A$204.2A109.2A330.2A$
203.2A111.A43.2A40.A243.A2.A$74.A235.A48.A2.A40.2A49.2A95.2A94.A2.A$
19.2A49.2A.A.A145.A.A85.A50.A.A39.2A49.A2.A.2A90.A.3A93.3A$18.A.A49.A
.2A2.A89.2A3.A50.2A3.2A33.2A45.3A49.A92.A.A.A.A89.A4.A$20.A53.2A89.A
2.A.A.A49.A3.2A33.A2.A.2A187.A4.A43.A46.4A.A91.5A$24.3A44.3A91.2A.A.A
.A55.A32.2A.A.A.A90.5A92.4A45.2A49.A90.A4.A$24.A6.2A37.A2.A94.A.2A92.
A.A.A89.A5.A40.3A96.2A47.3A90.A.A.A$25.A5.A.A36.A.A92.3A93.3A3.A90.2A
2.A.A42.A48.2A37.A.A54.A41.2A50.A.A.2A$31.A39.A93.A95.A49.3A48.2A42.A
49.2A38.2A12.A41.2A39.2A5.2A45.A$121.A4.2A183.A184.A12.A85.A4.A.A$
116.A4.A.A2.A.A183.A196.3A77.2A9.A$23.3A88.A.A4.2A3.A192.2A267.A.A$
25.A84.A4.2A201.2A270.A$24.A83.A.A209.A$109.2A7$522.2A$521.2A$523.A5$
437.3A$437.A$438.A!

Then something a little was 5G. Here are 3 new 5G:
x = 64, y = 110, rule = B3/S23
bo$2bo$3o9bobo$12b2o$13bo$61b2o$14bo47bo$13bobo45bo$12bo2bo45b2o$13b2o
42bob2o2bo$57b2obobo$61bo5$4bo$4b2o$3bobo32$obo$b2o6bobo$bo7b2o$10bo2$
11bo$10bobo$10bo2bo$11b2o3$55bo$55b3o$58bo$57bobo$56bobo$56b2o$b3o$3bo
$2bo31$2bo$obo$b2o$54bo$8bo44bobo$8bobo43bo$8b2o4b2o39b3o$4b2o7bo2bo
40b3o$5b2o6bobo44bo$4bo9bo44b2o!

Bob Shemyakin
BobShemyakin
 
Posts: 214
Joined: June 15th, 2014, 6:24 am

Re: 4 glider syntheses

Postby Freywa » May 12th, 2019, 6:19 am

LifeWiki's did-you-know section wrote:Did you know that as of 15 August 2017 there are 223 different [strict] still lifes known to be constructible by colliding [at least] four gliders, but it is likely that this list is not complete?

Armed with my Shinjuku database, I wrote a little script to list all these still lifes (and other periodic patterns) synthable in (2, 3, 4) gliders as a mosaic. The results are shown below:
#C 8 true objects cost 2 gliders:
#C xp2_7
#C xq4_153
#C xs4_33
#C xs5_253
#C xs6_696
#C xs7_178c
#C xs7_2596
#C xs8_6996
#CLL state-numbering golly
x = 43, y = 461, rule = B3/S23
o30bobo$o31b2o$o31bo4b2o$36b2o$38bo61$3o35bo$2bo35bobo$bo32b2o2b2o
$33b2o$35bo61$2o30bobo2b3o$2o31b2o2bo$33bo4bo61$b2o30bobo$obo31b2o
$bo32bo3b3o$38bo$39bo61$bo33bo$obo30bobo$obo31b2o$bo$37b2o$36bobo$
38bo61$2o38bo$bo37bo$bobo35b3o$2b2o30bobo$35b2o$35bo61$b2o33bo$o2b
o30bobo$bobo31b2o$2bo36b3o$39bo$40bo61$b2o31bobo3b2o$o2bo31b2o3bob
o$o2bo31bo4bo$b2o!

#C 18 true objects cost 3 gliders:
#C xp2_318c
#C xp2_7e
#C xp3_co9nas0san9oczgoldlo0oldlogz1047210127401
#C xp15_4r4z4r4
#C xq4_27dee6
#C xq4_27deee6
#C xq4_6frc
#C xs4_252
#C xs6_25a4
#C xs6_356
#C xs7_25ac
#C xs8_25ak8
#C xs8_69ic
#C xs9_25ako
#C xs9_4aar
#C xs14_69bqic
#C xs14_g88m952z121
#C xs16_g88m996z1221
#CLL state-numbering golly
x = 52, y = 1184, rule = B3/S23
2o32bo$o34b2o3bo$3bo30b2o3b2o5b3o$2b2o35bobo4bo$47bo61$o35bo$2o34b
obo$2o34b2o$bo30bo$33b2o$32b2o$40b3o$40bo$41bo61$2b2o5b2o37bo$3b2o
3b2o37bo$o2bobobobo2bo34b3o$3ob2ob2ob3o$bobobobobobo$2b3o3b3o2$2b
3o3b3o$bobobobobobo35bo$3ob2ob2ob3o33bo$o2bobobobo2bo33b3o$3b2o3b
2o$2b2o5b2o32bo$44b2o$43b2o61$bo37b2o$bo36b2o$obo32bo4bo$bo31bobo$
bo32b2o$bo$bo$obo33b3o$bo34bo$bo35bo61$b2o37bo6bo$2ob3o35bo3b2o$b
5o33b3o4b2o$2b3o2$36b3o$38bo$37bo61$b2o34bo$2ob4o31b2o$b6o30b2o$2b
4o38b2o$44bobo$39b2o3bo$39bobo$39bo61$b2o35bo$3o35bobo$2obo34b2o$b
3o$2bo33bo$34bobo$35b2o$39b2o$40b2o$39bo61$bo31bobo$obo31b2o$bo32b
o2$37b2o$36bobo3b2o$38bo3bobo$42bo61$bo34bo$obo31bobo$bobo31b2o$2b
o38b2o$40bobo$42bo3$42b3o$42bo$43bo61$2o31bobo$obo31b2o$b2o31bo4$
42b3o$38bo3bo$38b2o3bo$37bobo61$bo34bo$obo31bobo$bobo31b2o$2b2o35b
o$39b2o3bo$38bobo2bo$43b3o61$bo33bo5bo$obo33b2o2bo$bobo31b2o3b3o$
2bobo$3bo2$40b2o$41b2o$40bo61$bo40b2o$obo33bo4b2o$o2bo33b2o4bo$bob
o32b2o$2bo2$35b2o$34b2o$36bo61$bo34bo$obo34bo$bobo31b3o$2bobo$3b2o
$43bo$36b2o4bo$37b2o3b3o$36bo61$3bo36b2o$b3o30bobo3bobo$o34b2o3bo$
b3o31bo$3bo2$41b3o$41bo$42bo61$b2o35bo$ob3o31bobo4bo$o4bo31b2o3b2o
$b3obo36bobo$3b2o2$48b3o$48bo$49bo61$4b2o41bo$3bo2bo40bobo$3bobo
41b2o$b2obo38bo$o2bo33bobo3b2o$obo35b2o2bobo$bo36bo61$4b2o33bo$3bo
2bo30bobo$3bo2bo31b2o$b2ob2o42bobo$o2bo44b2o$o2bo45bo$b2o2$49b2o$
50b2o$49bo!

#C 225 true objects cost 4 gliders:
#C xp2_2a54
#C xp2_rhewehr
#C xp8_gk2gb3z11
#C xs6_39c
#C xs6_bd
#C xs7_3lo
#C xs8_178k8
#C xs8_31248c
#C xs8_312ko
#C xs8_32qk
#C xs8_35ac
#C xs8_3pm
#C xs9_178kc
#C xs9_178ko
#C xs9_25a84c
#C xs9_312453
#C xs9_31ego
#C xs9_g0g853z11
#C xs10_0cp3z32
#C xs10_0drz32
#C xs10_0j96z32
#C xs10_1784ko
#C xs10_178ka4
#C xs10_178kk8
#C xs10_3215ac
#C xs10_32qr
#C xs10_3542ac
#C xs10_358gkc
#C xs10_35ako
#C xs10_69ar
#C xs10_g0s252z11
#C xs10_g8o652z01
#C xs10_ggka52z1
#C xs10_xg853z321
#C xs11_08o652z32
#C xs11_17842ac
#C xs11_178b52
#C xs11_178jd
#C xs11_178kic
#C xs11_2530f9
#C xs11_2560ui
#C xs11_256o8go
#C xs11_2ege13
#C xs11_31461ac
#C xs11_31eg84c
#C xs11_32132ac
#C xs11_3586246
#C xs11_358gka4
#C xs11_69lic
#C xs11_g0s253z11
#C xs11_g0s453z11
#C xs11_g8ka52z11
#C xs11_g8o652z11
#C xs11_ggka53z1
#C xs11_ggm952z1
#C xs12_0g8ka52z121
#C xs12_0g8o652z121
#C xs12_0ggm96z32
#C xs12_0ggs252z32
#C xs12_178br
#C xs12_178c453
#C xs12_256o8a6
#C xs12_2egm93
#C xs12_2egm96
#C xs12_31egma
#C xs12_32qj4c
#C xs12_330f96
#C xs12_330fho
#C xs12_3hu066
#C xs12_641j4czx11
#C xs12_6530f9
#C xs12_6960ui
#C xs12_69iczx113
#C xs12_g8o653z11
#C xs12_o4q552z01
#C xs12_raar
#C xs12_xg84213zca1
#C xs13_08o696z321
#C xs13_0g8ka53z23
#C xs13_0ggm952z32
#C xs13_0ggs253z32
#C xs13_2530f96
#C xs13_2530fho
#C xs13_2560uic
#C xs13_25960ui
#C xs13_2eg6p3zx1
#C xs13_31ege13
#C xs13_31egma4
#C xs13_31kmiczw1
#C xs13_321fgkc
#C xs13_32qb96
#C xs13_354mp3
#C xs13_356o8a6
#C xs13_3hu06a4
#C xs13_4a960ui
#C xs13_4aarzx123
#C xs13_69e0mq
#C xs13_djozx352
#C xs13_g88m96z121
#C xs13_g8ge96z121
#C xs13_wggm93z252
#C xs14_08o0e96z321
#C xs14_08o6952z321
#C xs14_0g8421e8z1226
#C xs14_0g8ob96z23
#C xs14_0gbb8oz123
#C xs14_1no3tg
#C xs14_31egm93
#C xs14_31egm96
#C xs14_32qj4ko
#C xs14_3560uic
#C xs14_39e0e93
#C xs14_39e0e96
#C xs14_39e0eic
#C xs14_3hu0696
#C xs14_3hu0okc
#C xs14_4a9m88gzx121
#C xs14_6960uic
#C xs14_6970796
#C xs14_69akgkczx1
#C xs14_69bo8a6
#C xs14_69e0eic
#C xs14_69f0f9
#C xs14_69la4ozx11
#C xs14_6is079c
#C xs14_8ehjzw1074
#C xs14_c88a53z33
#C xs14_g4s079cz11
#C xs14_g88b96z123
#C xs14_g8o0e96z121
#C xs14_g8o69a4z121
#C xs14_j1u066z11
#C xs14_j1u413z11
#C xs14_mmge13z1
#C xs14_o4id1e8z01
#C xs14_o4s079cz01
#C xs14_wggc453z643
#C xs15_08o6996z321
#C xs15_0at1acz321
#C xs15_0g6picz343
#C xs15_0ggca96z1243
#C xs15_0ggmp3z346
#C xs15_0gilicz346
#C xs15_0j1u066z121
#C xs15_178bqic
#C xs15_25960uh3
#C xs15_25960uic
#C xs15_259e0e93
#C xs15_259e0e96
#C xs15_259e0eic
#C xs15_259e0eio
#C xs15_33gv1oo
#C xs15_354cgc453
#C xs15_3lk453z121
#C xs15_3lkm96z01
#C xs15_4a9b8oz033
#C xs15_4a9raic
#C xs15_65123qic
#C xs15_65lmzx346
#C xs15_69aczw6513
#C xs15_69aczx3552
#C xs15_69ak8zx1256
#C xs15_69bojd
#C xs15_bdgmiczw1
#C xs15_g8o6996z121
#C xs15_j1u06a4z11
#C xs15_o4s3pmz01
#C xs16_08o0ehrz321
#C xs16_08o6hrz643
#C xs16_0ca952z2553
#C xs16_0g8o69a4z3421
#C xs16_259aczx6513
#C xs16_259e0e952
#C xs16_2lla8cz1221
#C xs16_39e0ehr
#C xs16_3hu0uh3
#C xs16_3lk453z321
#C xs16_4a970sia4
#C xs16_69960uic
#C xs16_69bob96
#C xs16_69e0ehr
#C xs16_69egmiczx1
#C xs16_69f0f96
#C xs16_69is079c
#C xs16_69is0si6
#C xs16_69ngbr
#C xs16_c4o0e96z321
#C xs16_h7ob96z11
#C xs16_j1u0696z11
#C xs16_j1u06acz11
#C xs17_03lkia4z643
#C xs17_0ml2sgz3443
#C xs17_2ege1ege2
#C xs17_2ege1t6zx11
#C xs17_39u0uiz023
#C xs17_3lk453z1243
#C xs17_3lk453z3421
#C xs18_035a4oz69d11
#C xs18_0c88b96z2553
#C xs18_2egm9a4zx346
#C xs18_3lk453z3443
#C xs18_69baa4z653
#C xs18_69is0si96
#C xs18_8ehlmzw12452
#C xs18_c4o0ehrz321
#C xs18_gbbob96z11
#C xs18_gs2ib96z1221
#C xs18_rhe0ehr
#C xs19_0ml1eoz34611
#C xs19_178jt069a4
#C xs19_69bo7pic
#C xs19_6ikm9a4z3421
#C xs19_mlhe0e96z1
#C xs19_mlhe0eicz1
#C xs20_02596z6511d96
#C xs20_259mgmiczx66
#C xs20_2egu1rq23
#C xs20_2lligz122qq1
#C xs20_3lkkl3z32w23
#C xs20_697ob96z0321
#C xs20_69baa4ozw6511
#C xs20_ca9bqicz33
#C xs22_69b88cz69d113
#C xs24_259aczcid1d93
#C xs24_4aab96z255d96
#CLL state-numbering golly
x = 99, y = 16862, rule = B3/S23
2bo36bo$2o37bobo7b3o$2b2o31bo3b2o8bo$bo34bo8b2o3bo$34b3o7bobo$46bo
61$2o4b2o32bo18bo$obo2bobo30bobo18bobo$2bo2bo33b2o18b2o$obo2bobo
35b2o10b2o$2o4b2o34bobo10bobo$44bo10bo61$4b2o35bobo$2bob2o31bo3b2o
$bo36bo3bo$4bo31b3o$2obo$2o3$50b3o$50bo$51bo2$46b2o$46bobo$46bo61$
2o43bo$o43bo$2bo41b3o$b2o32bo$33bobo$34b2o6b2o$41b2o$43bo3$37b3o$
39bo$38bo61$2o30bobo$o32b2o$bo31bo$2o35bobo$37b2o3b2o$38bo3bobo$
42bo2$39b2o$40b2o$39bo61$2o32bo$o34bo$bo31b3o9bo$2bo41bo$b2o41b3o
2$42bo$41b2o$34b3o4bobo$36bo$35bo61$2o33bobo9bo$bo34b2o7b2o$bobo
32bo9b2o$2bobo$3bo2$38b3o5b3o$40bo7bo$39bo7bo61$2o52bo$obo51bobo$
3bobo48b2o$4b2o4$36bobo$37b2o8bo$37bo9bobo$47b2o3$47b2o$46b2o$48bo
61$2o48bo$obo47bobo$3bo46b2o$4bo30bobo$3b2o31b2o$36bo2$46bobo$46b
2o$47bo3$47b2o$48b2o$47bo61$o33bobo14bo$3o32b2o12b2o$3bo31bo14b2o$
2bo$2b2o3$42b3o3bo$44bo2b2o$43bo3bobo61$2o32bo$obo32b2o$bobo30b2o$
2b2o$46bo$45b2o6bo$41bo3bobo4bo$41b2o9b3o$40bobo61$2o31bobo$obo31b
2o6bobo$2bo31bo7b2o$bo41bo$b2o2$36b3o3b2o$38bo2b2o$37bo5bo61$2o75b
o$bo76bo$bob2o36bo34b3o$2bobo35bo$3bo36b3o37b3o$35bobo42bo$36b2o
37b2o4bo$36bo37bobo$74bo$73b2o61$2o34bo$bo35bo$bobo31b3o$2bobo35bo
bo$3b2o35b2o$41bo$46b3o$46bo$47bo2$43b2o$42b2o$44bo61$bo44bo$obo
42bo$bo2b2o39b3o$2b2obo$41b3o$36bobo2bo$37b2o3bo$37bo$41bo$41b2o$
40bobo61$2o2b2o31bo$obo2bo32bo$3b2o31b3o3$50bo$49bo$44bobo2b3o$44b
2o$45bo3$45b2o$44b2o$46bo61$2o33bobo$obo33b2o4bo$2bo33bo3b2o$2bobo
36b2o$3b2o3$37b2o6b3o$36b2o7bo$38bo7bo61$4b2o30bo$5bo31b2o$4bo31b
2o$3bo$obo43b2o$2o39bo3b2o$41b2o4bo$40bobo2$52b2o$51b2o$53bo61$2b
2o30bo$3bo31b2o$bo32b2o$b2o$2bo55bo$o55b2o$2o55b2o2$60b2o$60bobo$
60bo20$76b3o$76bo$77bo61$b2o31bo5bo$2bo32bo2b2o$bo31b3o3b2o$b2o$2b
o39b2o$o41bobo$2o40bo6b2o$49bobo$49bo61$b2o37bo$bobo30bobo2bo$3bo
31b2o2b3o$2bo32bo$bo$o$2o2$51b3o$51bo$52bo$40b3o$42bo$41bo61$2o45b
o$bo43b2o$bob2o31bobo7b2o$2bo2bo31b2o$4b2o31bo3$38b2o$39b2o3b2o$
38bo4b2o$45bo61$2o34bo$bo2bo32b2o$bobobo30b2o$2bobo$3bo$37b2o$37bo
bo3bo$37bo4b2o$42bobo9$64b2o$64bobo$64bo61$2o34bo$bo35b2o$bob2o31b
2o$2bo2bo$3b2o3$56bo$50b3o2b2o$52bo2bobo$51bo7$56b3o$56bo$57bo61$o
b2o46bo$2o2bo32bo3bobo5bo$3bobo32bo2b2o6b3o$4b2o30b3o3bo8$40b2o$
39bobo$41bo61$o2bo39bo$4o37b2o$42b2o$2b2o42bobo$2b2o42b2o$47bo$36b
o$34bobo$35b2o$39b2o$38bobo$40bo61$2o43bo$o2b2o39bo$b2o2bo38b3o$4b
2o$36bo$37b2o$36b2o3$37b2o$38b2o$37bo3$54b3o$54bo$55bo61$2o41bo$o
40b2o$bo2b2o30bobo3b2o$2bo2bo31b2o$3b2o32bo$44bo$43b2o$43bobo5$47b
2o$46b2o$48bo61$2o35bo$obo32bobo3bobo$bobo32b2o3b2o5bo$2bobo37bo3b
2o$3b2o42b2o2$36b2o$37b2o$36bo61$bobo30bo$ob2o31b2o$o33b2o$b3o$3bo
37bo$40bo$40b3o2$45b2o$44b2o$37b3o6bo$39bo$38bo61$4bo39bo$3bobo32b
o4bo$2bobo31bobo4b3o$2bo34b2o$obo$2o$44bo4b2o$44b2o2b2o$43bobo4bo
61$4bo31bobo$3bobo31b2o$3b2o32bo$b2o44bobo$obo44b2o$bo46bo2$41b2o$
42b2o3b2o$41bo4b2o$48bo61$4bo33bo$3bobo30bobo$2bobo32b2o$3bo37b3o
3bo$3o40bo2bo$o41bo3b3o3$41b2o$40bobo$42bo61$5b2o30bobo$6bo31b2o5b
o$5bo32bo6bobo$4bo40b2o$3bo$obo$2o45b2o$46b2o$48bo4$50b2o$49b2o$
51bo61$4bo54bo$3bobo52bo$3b2o53b3o$b2o$2bo$o$2o5$43bo$43bobo$43b2o
2$37bo$38bo6b2o$36b3o5b2o$46bo61$2o37bo$bo2b2o31bobo8b3o$bobo2bo
31b2o8bo$2bo2b2o37b2o3bo$43bobo$45bo5$40b2o$41b2o$40bo61$2ob2o50bo
$bobobo48bo$bo2bo49b3o$2b2o6$36bobo$37b2o$37bo3bobo$41b2o$42bo6$
53b2o$53bobo$53bo61$2ob2o71bo$bobo70b2o$bo2bo70b2o$2bobo$3bo2$35bo
bo$36b2o$36bo19$59bo$53b3o2b2o$55bo2bobo$54bo61$2o78bo$bo2bo75bobo
$bobobo36bo37b2o$2bo2bo35bo$3b2o36b3o39b3o$36bobo44bo$37b2o37b2o6b
o$37bo37bobo$75bo$74b2o61$b2ob2o40bo$obobo39b2o$bo2bo40b2o$4b2o4$
46b2o$36bobo7bobo$37b2o2bobo2bo$37bo3b2o$42bo61$bo42bo$obob2o36b2o
$b2obo38b2o$4bo$4b2o3$41b3o$36bobo2bo5b2o$37b2o3bo3b2o$37bo10bo61$
bo67bobo$obo66b2o$b2o67bo$3b2obo$3bob2o5$39bo$37bobo$38b2o12$52bo$
51bo$51b3o3$48b2o$47bobo$49bo61$4b2o32bo$2obobo30bobo$bobo33b2o6bo
$bobo40bo$2bo41b3o2$40b3o$42bo$41bo2$53b3o$53bo$54bo61$2o2bo54bobo
$o2bobo53b2o$2b2o2bo53bo$5b2o4$51bo$37bobo11bobo$38b2o2bobo6b2o$
38bo3b2o$43bo61$2o35bo$obo35b2o2bobo$2bo2b2o30b2o3b2o$2bobobo36bo$
3bo6$39b2o$40b2o$39bo6$58b2o$57b2o$59bo61$ob2o35bo$2ob3o31bobo$6bo
31b2o$5b2o40b3o$47bo$48bo2$38bo$39bob3o$37b3obo$42bo61$2o35bo$o2b
2obo31b2o$bobob2o30b2o$2bo$60b2o$59b2o$61bo$56bo$56b2o$55bobo$60b
3o$60bo$61bo61$2o37bo$o4bo31bobo$bo2bobo31b2o$2bo2bo37bo$3b2o36b2o
6bo$42b2o4bo$48b3o4$41b3o$43bo$42bo61$b2o33bo$o2bo33bo$obobo30b3o
14bo$bo2bo39b3o4bo$2b2o42bo4b3o$45bo2$47b3o$47bo$48bo61$4b2o33bobo
$3bobo33b2o$2bobo35bo$2bo$obo35bo$2o34bobo$37b2o3$46bobo$36bo9b2o$
37b2o8bo$36b2o61$4b2o36bo$5bo35bo$2b3o36b3o$2bo33bobo$obo34b2o43b
2o$2o35bo43bobo$75bo5bo$76bo3b2o$74b3o4$76b2o$77b2o$76bo61$4bo49bo
$3bobo48bobo$2bobo31bobo15b2o$bobo33b2o8bo$obo34bo9bobo$2o45b2o3$
47b2o$46b2o$48bo61$4bo46bo$3bobo32bo3bobo4b2o$3b2o31bobo3b2o6b2o$b
2o34b2o4bo$obo$2o2$38b3o$38bo$39bo61$4b2o30bobo$3bobo31b2o$2bobo
32bo$3bo$3o$o2$42bo$40b2o$41b2o2$44b2o$44bobo$44bo4b3o$49bo$50bo
61$3b2o43bo$2bo2bo32bo7b2o$2bobo31bobo8b2o$3bo33b2o$3o$o42bo3b2o$
42b2o3bobo$42bobo2bo61$5bo37bo$4bobo35b2o$3bobo31bobo2bobo$2bobo
33b2o8b2o$bobo34bo9bobo$obo45bo$bo7$56bo$55b2o$55bobo61$5bo33bo$4b
obo30bobo$4b2o32b2o$2b2o$bobo38b3o$obo39bo$bo41bo5$39b2o$39bobo$
39bo19b2o$59bobo$59bo61$4bo80bo$3bobo78bo$3bobo30bobo45b3o$4bo32b
2o$b3o33bo$o$2o26$56bo$57bo2bobo$55b3o2b2o$61bo61$5bo37bo$4bobo35b
o$3bobo36b3o$3bo33bobo36bo$b3o34b2o37bo4b2o$o37bo36b3o3bobo$2o79bo
$80b2o2$76b2o$77b2o$76bo61$2ob2o30bo$bob2o31b2o$bo33b2o$2b3o$4bo7$
56bo$45bo8b2o$45bobo7b2o$45b2o3$46b2o$45b2o$47bo61$2o3b2o30bo$bo4b
o31b2o8b2o$bob3o31b2o9bobo$2b2o44bo3$45b3o$47bo$46bo7$53b2o$53bobo
$53bo61$bo66bobo$obo2b2o61b2o$b2o3bo62bo$3b3o$3bo10$43bo$37bobo2bo
$38b2o2b3o$38bo12$66b2o$66bobo$66bo61$4b2o48bo$2obobo48bobo$bobo
50b2o$bo2bo$2b2o47bo$49b2o$50b2o5$36bobo$37b2o$37bo3bobo$41b2o$42b
o61$4bo33bo$2obobo30bobo7bo$bobobo31b2o5b2o$bo2bo40b2o$2b2o4$38bo
4bo$38b2o2b2o$37bobo2bobo61$2o54bo$obob2o48b2o$2bobo50b2o$2bo2bo$
3b2o33bo$36bobo$37b2o2$47b2o$47bobo$47bo3$44b3o$46bo$45bo61$o2bo
32bobo$4o33b2o$4b2o31bo$2bo2bo$2b2o2$42bo$40b2o$41b2o2$44b2o9b3o$
44bobo8bo$44bo11bo61$2ob2o44bo$2obobo30bobo8b2o$3bobo31b2o9b2o$3b
2o32bo2$46bo$46b2o$45bobo2$38b2o$37bobo$39bo61$2ob2o31bobo$2obo33b
2o$3bo33bo$3bobo48bo$4b2o47bo$53b3o3$40b3o$42bo3bo$41bo3b2o$45bobo
61$2o44bo$obob2o39bo$2bob2o31bo7b3o$2bo35bo$b2o33b3o4$42bo$36bobo
2bo$37b2o2b3o$37bo61$2b2o34bo$o2bo32bobo$2o2b2o31b2o$5bo$3bo$3b2o
5$39b3o$41bo3bo$40bo3b2o$44bobo3$52b3o$52bo$53bo61$b2ob2o32bo$obob
o31bobo$2o2bo32b2o$4b2o$46bo$44b2o$45b2o3$45b2o$45bobo$45bo6$58b2o
$58bobo$58bo61$bo46bo$obob2o41bo$obobo42b3o$bo2bo33bo$4b2o30bobo$
37b2o$41b2o$40bobo$42bo2$53b2o$52b2o$54bo61$bo46bo$obo43b2o$o2bo
43b2o$bobo38bo$2bo38bo$3b3o35b3o$5bo30bobo$37b2o$37bo2$49b2o$48b2o
$50bo61$4b2o32bo3bobo4b2o$3bobo30bobo3b2o5bobo$3b2o32b2o4bo5bo$b2o
$obo$2o$38b3o$38bo$39bo61$3b2o31bo8bo$2bo2bo31b2o6bobo$bob2o31b2o
7b2o$obo$obo$bo45b2o$46b2o$48bo5$49bo$48b2o$48bobo61$o2bo41bo$4o
30bobo7bo$35b2o7b3o$4o31bo$o2bo2$36b2o$37b2o$36bo$43b2o$42b2o$44bo
61$7b2o31bo8bo$6bobo32bo7bobo$5bo33b3o3b2o2b2o$4bo39b2o$3bo42bo$2b
o$bo$o$2o12$74bo$73b2o$73bobo61$4bo32bo$3bobo32b2o$3bobo31b2o4bo$b
2obo37bo$2bo39b3o$obo$2o34b3o$36bo$37bo2$50b2o$49b2o$51bo61$5b2o
36bo39bo$4bobo35bo38b2o$3bobo36b3o37b2o$2bobo32bobo$bobo34b2o37b2o
$bo36bo37bobo3b2o$2o74bo4bobo$75b2o6bo61$4b2o31bobo$3bo2bo31b2o$3b
obo32bo3bobo$4bo37b2o$b3o39bo$o47bo$2o45b2o$47bobo2$41b3o$43bo$42b
o61$5b2o30bobo$4bobo31b2o$3bobo32bo$3bo$b3o$o$2o38b2o$39bobo3bobo$
41bo3b2o$46bo7$58bo$57b2o$57bobo61$b2ob2o44bo$obobobo42bo$bo2bobo
42b3o$4b2o4$37bobo2bobo$38b2o2b2o$38bo4bo4$44bo$43b2o$43bobo61$b2o
b2o36bobo4bo$obobo37b2o5bobo$bo2bo38bo5b2o$4bobo$5b2o$37bo5bo$38b
2o2b2o$37b2o3bobo61$bo36bo$obob2o33bo$b2obobo30b3o$4bobo37bo$4b2o
37bo$43b3o3$48b3o$43b3o2bo$45bo3bo$44bo61$b2o44bobo$o2bob2o35bo4b
2o$bobobo36bobo3bo$2bo2bo36b2o$5b2o31bo$39bo$37b3o2b2o$43b2o$42bo
61$4b2o42bo$2obobo40b2o$bobo33bo9b2o$bo2bo33bo$2bobo31b3o$3bo43b2o
$47bobo$47bo6$51b3o$51bo$52bo61$2o3b2o44bobo$obobobo30bo8bo4b2o$2b
obo33b2o4b2o6bo$2bobo32b2o6b2o$3bo2$44bo$44b2o$43bobo61$2o35bobo$o
bob2o32b2o$2bobobo31bo$2bo2bo$3b2o$53bo$53bobo$53b2o4$50b2o$51b2o$
50bo4b2o$55bobo$55bo61$2o38bo$o2b2o35bobo$2b2obo34b2o$5bo39bo$2b3o
33bo5bo$2bo33bobo5b3o$37b2o2$41bo$40b2o$40bobo61$ob2o33bobo$2obo
34b2o$3bob2o31bo$3bo2bo$4b2o$63bo$61b2o$62b2o3$60b2o$59b2o$61bo9bo
$70bo$70b3o61$o2b2o33bo$4obo30bobo4bo$5bo31b2o4b2o4bo$2b3o37bobo2b
2o$2bo45b2o3$52b3o$52bo$53bo61$2o2b2o32bo$o2bobo30bobo$b3o33b2o$4b
o$3b2o3$43bo$41b2o$42b2o3$38b3o$40bo$39bo5$62b2o$62bobo$62bo61$2o
44bo$obo2b2o37b2o$b2o3bo38b2o$3b3o33bo$3bo33bobo$38b2o2$41b3o$43bo
8b3o$42bo9bo$53bo61$2o35bobo$obob2o32b2o$2bobobo31bo$2bo2bo$b2o54b
o$56bo$56b3o$46b2o$47b2o$46bo7b2o$54bobo$54bo61$2bo34bo$bobob2o31b
2o$o2bobo31b2o$b2o2bo$5b2o13$79bo$70bo6b2o$69bo8b2o$69b3o$74b2o$
73b2o$75bo61$3bo32bo$b3o33b2o$o35b2o$b3o$3bo$3bobo73bo$4b2o72bo$
78b3o21$60bo$60b2o2b3o$59bobo2bo$65bo61$bo49bo$obob2o44bo$obobo45b
3o$b2o2bo$4b2o39bo$45bobo$45b2o3$47b2o$38bo7b2o$36bobo9bo$37b2o61$
2o34bobo9bo$bo35b2o9bobo$o36bo10b2o$obo$b2o$3b2o39b3o$3bobo40bo$4b
o40bo8$56b2o$56bobo$56bo61$4bo70bo$3bobo69bobo$3bobo69b2o$b2obo$o
2bo$obo$bo6$36bo$37b2o$36b2o9$56bo$56bobo$56b2o3$56b2o$55b2o$57bo
61$4bo51bo$3bobo49bo$3bobo49b3o$bob2o$obo$obo$bo5$36bo$37b2o$36b2o
$46bo$40b2o3b2o$41b2o2bobo$40bo61$5b2o34bo$4bobo33bo$4bo35b3o$5bo$
2b3o33bo$bo37bo$obo34b3o$bo52bobo$54b2o$44bo10bo$42b2o$43b2o61$5bo
31bobo$4bobo31b2o3bo$4bobo31bo4bobo$b2ob2o37b2o$2bo$obo$2o43b2o$
39b3o2b2o$41bo4bo$40bo61$4b2o59bobo$3bo2bo30bobo25b2o$3bobo32b2o
26bo$b2obo33bo$2bo$obo$2o6$38bobo$39b2o$39bo3bobo$43b2o$44bo61$5bo
32bobo$4bobo32b2o$3bo2bo32bo$2bo3b2o$bo$o$b3o$3bo3$42b3o$44bo3bo$
43bo3b2o$47bobo4$56b2o$55b2o$57bo61$4b2o33bo$4bobo30bobo$6bo31b2o$
2b4o$bobo$bo51bo$2o49b2o$52b2o2$55b2o$55bobo$55bo14$69b2o$68b2o$
70bo61$2b2o36bo$2b2o36bobo2bo$40b2o3bobo$2b4o30bo8b2o$bo3bo31b2o$o
bo33b2o$b2o$42b2o$41b2o$43bo61$2ob2o45bo$bobo46bobo$bo2bo33bo11b2o
$2bobo31bobo15b2o$b2ob2o31b2o15bobo$41b2o11bo$40bobo$42bo61$2o3b2o
31bo10bo$obobobo32b2o7bo$2bobo33b2o8b3o$2bo2bo$3b2o$39bo4bo$37bobo
3b2o$38b2o3bobo61$2o3bo47bo$obobobo45bo$2bobobo45b3o$2bo2bo$3b2o3$
42bo$42bobo$38bo3b2o$39bo$37b3o2$50b2o$49b2o$51bo61$o2bo39b2o$4o
40b2o$4b2o37bo$2bo3bo30bobo$2b2ob2o31b2o6b3o$38bo7bo$47bo5$42b2o$
41b2o$43bo61$2o35bobo$obob2o32b2o$b2obobo31bo$4bobo$4b2o2$72bo$62b
2o6b2o$61b2o8b2o$57b2o4bo$56bobo$58bo61$2o3b2o32bo13bo$obobobo30bo
bo13bobo$2bobo33b2o13b2o$b2ob2o$41b2o7b2o$42b2o5b2o$41bo9bo61$2o3b
o43bo$obobobo40b2o$2bobobo41b2o$b2ob2o2$39bo5bo$37bobo4b2o$38b2o4b
obo3$38b2o$39b2o$38bo61$2o36bo$obob2o33bo$2bobobo30b3o18bo$b2obobo
51bobo$5bo52b2o2$48bo$47bo$47b3o2$43b2o$42bobo$44bo61$2o3bo32bo$ob
obobo32bo$2bobobo30b3o$2bo2bo$b2o47bo$49b2o$45bo3bobo$45b2o$44bobo
7$53b3o$53bo$54bo61$2o37bo10bo$obo34bobo9bo$2bo2b2o31b2o9b3o$2bobo
bo47b3o$b2ob2o40b2o6bo$46bobo6bo$46bo61$2bo34bobo$bobo34b2o$o2bo
34bo$b2ob2o$3bo2bo$3bobo$4bo39bo$44bobo$44b2o3$46b2o$45b2o$47bo3$
54b2o$53b2o$55bo61$bo36bobo$obob2o33b2o$obobobo32bo$bo2bobo$4b2o3$
38bo4bo$39bo2b2o5bo$37b3o2bobo3b2o$48bobo61$b2ob2o32bo$obobobo32bo
$obobobo30b3o$bo3bo40bobo$46b2o$47bo2$49b3o$49bo$50bo$37b3o$39bo$
38bo61$bo35bobo$obo35b2o$o2bob2o31bo$b2o3bo$3b3o$3bo48bo$52bobo$
52b2o$56b2o3b2o$56bobob2o$56bo5bo61$b2o42bo$obo2b2o30bo7bobo$o5bo
31b2o5b2o$b5o31b2o$3bo3$48b3o$48bo$49bo$45b2o$44bobo$46bo61$bo41bo
$obob2o33bo3bobo$obobobo30bobo3b2o$b2obobo31b2o$5bo$45b2o$40b2o3bo
bo$39bobo3bo$41bo61$b2ob2o38bobo$obobo39b2o$obobo40bo$b2ob2o32bo$
36bobo$37b2o3bobo$42b2o$43bo6$54b2o$53b2o$55bo61$b2o35bo$o2bo32bob
o4bo$obobo32b2o3bo$bobobo36b3o$2bo2bo$3b2o34b2o$39bobo$39bo$44b3o$
44bo$45bo61$4b2o31bo$2o2bo33b2o$obobobo30b2o$2bo2b2o$b2o38bo$40bo$
40b3o6b3o$49bo$50bo2$38b2o$39b2o$38bo61$2b2o61bobo$bobo61b2o$bo64b
o$2o$2b2o$2bobo$4bo$4b2o9$36bo$37b2o$36b2o$41bo$40bo$40b3o4$40b2o$
41b2o$40bo61$4b2o30bo$3bobo31b2o$o3bo31b2o$4o2$2o$2o2$40b3o3bo$42b
o2b2o$41bo3bobo2$52bo$51b2o$51bobo61$4b2o39bo$4bo38b2o$b2obobo37b
2o$2bo2b2o$obo$2o2$41bo$41bobo$41b2o9$37bobo$38b2o2bobo$38bo3b2o$
43bo61$3b2o31bobo$3bobo31b2o$5bo31bo8bo$b4o40bo$o44b3o$obo$b2o2$
41bo4bo$41b2o2b2o$40bobo2bobo61$5bo32bo12bobo$4bobo32bo11b2o$4bobo
30b3o12bo$b2ob2o$obo$obo$bo43bo$43b2o$44b2o3$45bo$44b2o$44bobo61$
4bo33bo$3bobo33bo$3bo2bo30b3o$b2ob2o$obo$obo$bo47b3o$39bo9bo$39b2o
9bo$38bobo$43b2o$43bobo$43bo61$2o34bo5bo$obob2o31b2ob2o$2bob2o30b
2o3b2o$2bo$obo$2o34b2o5b3o$37b2o4bo$36bo7bo61$2o2b2o32bo$obo2bo30b
obo$2b2o33b2o$2bo41bo$obo41b2o$2o41bobo2$47b3o$47bo$48bo2$54b2o$
54bobo$54bo61$4b2o31bo$2obobo32bo$2obo32b3o$3bo37bobo$3o38b2o$o41b
o4$43b2o4b3o$42bobo4bo$44bo5bo61$3b2o36bo5bo$2bo2bo34bo5bo$bobobo
34b3o3b3o$o2bob2o$obo35bo$bo37bo$37b3o3b3o$43bo$44bo61$4b2o32bo$4b
o34bo$b2obobo30b3o$obo2b2o$obo$bo$83bo$82bo$82b3o6$64bo$63b2o$59bo
3bobo$59b2o$58bobo61$6b2o32bo$7bo30bobo$4b3o32b2o$4bo$2b2o$2bo38b
2o$obo39b2o$2o39bo2$46bo$46b2o$45bobo$50b3o$50bo$51bo61$4b2o44bobo
$3bo2bo43b2o$3bo2bo34bo9bo$b2ob2o35bobo$2bo38b2o$obo35bo$2o37bo$
37b3o2$42b2o$43b2o$42bo61$2b2o44bo$bo2bo42bo$2bo2bo41b3o$b2ob2o$2b
o33bo$obo34b2o$2o34b2o2$44bo$38bo4bo$38b2o3b3o$37bobo61$3bo34bo$2b
obo31bobo$2bo2bo31b2o$3bobo$bob2o46bo$obo47b2o$obo47bobo$bo43b3o$
47bo$46bo6bo$52b2o$52bobo61$5bo32bo$4bobo32bo$3bo2bo30b3o$3b3o$b2o
$o2bo$bobo$2bo51bo$53bo$53b3o3$52bo$51b2o4b3o$51bobo3bo$58bo61$4b
2o30bobo$3bobo31b2o5bo$3bo33bo5bo$4bo38b3o$b4o$o$obo$b2o3$38bo3bob
o$39bo2b2o$37b3o3bo61$3bo33bo$2bobo33bo$3bobo30b3o$5bo$b4o$o$obo$b
2o44bo$46b2o$46bobo2$42b3o$44bo$43bo10$59b3o$59bo$60bo61$b2o42bo5b
o$bobob2o37bo4b2o$3bob2o37b3o3b2o$3bo$bobo$obo34bobo$bo36b2o4b2o$
38bo6b2o$44bo61$2obo33bobo$bob3o32b2o$bo4bo31bo4b3o$2b3obo38bo$4b
2o38bo2$44bo4b2o$44b2o3bobo$43bobo3bo61$b2o3b2o30bo$o2bobobo31b2o
4b2o$bobobo32b2o6b2o$2bo2bo39bo4b2o$5b2o43bobo$50bo8$59b3o$59bo$
60bo61$b2o41bo$o2bob2o35bobo$bobobobo35b2o$2bo2bobo$5b2o39b2o$47b
2o$46bo2$40bo$38bobo$39b2o5$43b3o$45bo$44bo61$b2o3b2o30bobo$o2bobo
bo31b2o33bo$bobobo33bo32b2o$2b2ob2o66b2o21$54bo$48bobo2bo$49b2o2b
3o$49bo61$b2o3bo33bo$o2bobobo30bobo$bobobobo31b2o9bo$2b2ob2o42bo$
49b3o$41b2o$42b2o$41bo4b2o$45bobo$47bo61$b2o36bo$o2bob2o33bo$bobob
obo30b3o$2b2obobo$6bo3$55bo$54bo$54b3o4$42b2o4bo$41bobo3b2o$43bo3b
obo61$b2o35bobo$o2bob2o32b2o$bobobo33bo21bo$2b2obobo51b2o$6b2o52b
2o4$47bo3b3o$47b2o2bo$46bobo3bo61$2ob2o34bo11bo$2obo33bobo10bo$3bo
34b2o10b3o$3bob2o$2b2ob2o$40b3o2bobo$42bo2b2o$41bo4bo61$2o5b2o30bo
$o7bo31b2o$b3ob3o31b2o11bo$3bobo45bo$4bo46b3o4$52b2o$51b2o$53bo37$
96b2o$96bobo$96bo61$2o2b2o72bo$o4bo71bo$b4o72b3o2$b2o$obo$bo21$63b
o$63bobo$63b2o7$36bobo$37b2o$37bo3bobo$41b2o$42bo61$2o2bo31bobo$o
2bobo31b2o$b3obo31bo6bo$4bo39bobo$b3o40b2o$bo2$40bo$40b2o3b2o$39bo
bo3bobo$45bo61$2b2o32bobo$bobo33b2o$o36bo21bo$b5o51b2o$5bo52b2o$b
2o$b2o$48b2o$49b2o$48bo4b2o$53bobo$53bo61$2b2o36bo$bob3o34bobo$o5b
o33b2o$b4obo$3bobo$37bo10bobo$38b2o8b2o$37b2o10bo$41b3o$43bo$42bo
61$b2obo34bo$o2b4o33bo$2o5bo30b3o$5bobo$5b2o2$51bo$49b2o$50b2o$45b
3o$45bo$46bo4$60b2o$59b2o$61bo61$b2o42bo$o2bo40bo$4o32bobo5b3o$37b
2o$2b2o33bo$3bo$3bobo$4b2o2$43bo$43b2o$42bobo$47b3o$47bo$48bo61$bo
34bobo$obo34b2o$o2bo33bo$b3o2$3b3o$2bo2bo$2b2o3$60b3o$62bo11b2o$
61bo3b2o7bobo$65bobo6bo$65bo61$bo35bobo8bo$obo35b2o7bo$o2bo34bo8b
3o$b3o49bo$52bo$3b3o46b3o$3bo2bo$4b2o44bo$49b2o$49bobo61$bo35bobo$
obo35b2o$o2bo34bo$b2obo$3bo$3bobo$4bobo$5b2o$47bo3bobo$47b2o2b2o$
46bobo3bo2$51bo$51b2o$50bobo61$b2ob2o44bobo$obobo45b2o$o4bo45bo$b
3obo31bo$3b2o33bo$36b3o9bo$46b2o$41b2o4b2o$41bobo$41bo61$2o52bo$o
2b2o48bo$bobobo47b3o$2o3bo$2b3o$2bo47bo$49bo$38bo10b3o$36bobo$37b
2o3$37b2o$38b2o$37bo61$4b2o40bo11bobo$3bo2bo38bo12b2o$3bo2bo38b3o
11bo$b2ob2o$obo$obo$bo5$43b2o$37bobo2b2o$38b2o4bo$38bo61$2o40b3o$o
bob2o31bobo2bo$2bobobo31b2o3bo$2bo2bo32bo$obo44b2o$2o44b2o$39b2o7b
o$38bobo$40bo61$3b2o32bo$3bobo32bo$b2o2bo30b3o$obobo$obob2o$bo4$
56bo$55b2o$55bobo2$49bo$49b2o$48bobo$53b2o$53bobo$53bo61$5b2o37bo$
4bobo37bobo$4bo39b2o$b2obobo$2bo2b2o$obo43b3o$2o44bo$37bo9bo$38b2o
$37b2o$53b3o$53bo$54bo61$4b2o45bo$3bobo38bo5bo$3bo38b2o6b3o$b2o2bo
31bo5b2o$2bob2o32bo$2bo33b3o$obo40b2o$2o40bobo$44bo61$3b2o32bo$2bo
2bo32bo$bo2bo31b3o$b3o38b2o$42bobo$b3o38bo$o2bo$b2o37bo$40b2o8b2o$
39bobo8bobo$50bo61$5bo32bo$4bobo32b2o$4bo2bo30b2o$2b2ob2o$bobo$o2b
o$obo$bo5$42bo$40b2o$41b2o3$40b2o$39b2o$41bo5$64b2o$64bobo$64bo61$
b2o34bobo$o2bo34b2o$bo2bo33bo$2b3o51bo$56bobo$4b3o49b2o$3bo2bo$3b
2o3$53bo$53bobo$53b2o2$50b2o$49b2o$51bo61$b2o3b2o50bo$o2bobo2bo48b
o$bobobobo49b3o$2b2ob2o$39bo$40b2o$39b2o3$49bo$49bobo$49b2o3$50b2o
$49b2o$51bo61$b2o42bo$o2bo33bo6b2o$b2o2bo32bo5bobo$3b3o30b3o$b2o$o
2bo36b2o$b2o36bobo$41bo$53b2o$52b2o$54bo61$2o3b2o77bo$obobobo76bo$
2bobo78b3o$b2obobo$5b2o16$37bobo10bo$38b2o9b2o$38bo6bo3bobo$45b2o$
44bobo61$2o3b2o45bo$obobobo43b2o$2bobo46b2o$2bobo$b2ob2o2$39bo$37b
obo9b2o$38b2o4bo4bobo$44b2o3bo$43bobo61$2o2b2o35bobo$o4bo35b2o$b4o
31bobo3bo$37b2o$b2o34bo$obo$2o$39b2o$38b2o12b2o$40bo10b2o$53bo61$
2b2o35bo$bobo2b2o32b2o$o2bobo2bo30b2o$b2o2bobo35b3o4bo$5b2o38bo3bo
$44bo4b3o$54b2o$53b2o$55bo61$b2o37bo$o2bob2o31bobo$o2bobobo31b2o4b
2o$b2o2bobo38b2o$5b2o38bo6bo$50b2o$51b2o3$49b2o$49bobo$49bo61$b2ob
2o33bo$obobobo30bobo$o5bo31b2o$b5o41bo$3bo43bobo$47b2o3$39bo7b2o$
39b2o5b2o$38bobo7bo61$bo3b2o32bo8bo$obobobo30bobo8bobo$obobo33b2o
8b2o$b2obobo36b3o$5b2o38bo$44bo2$47b2o$46b2o$48bo61$bo35bo$obob2o
32b2o$obobobo30b2o$b2o3bo$3b3o43bo$3bo44b2o$48bobo$43b3o$45bo$44bo
2$50bo$49b2o$49bobo61$b2ob2o31bobo2bobo6bo$obobobo31b2o2b2o5b2o$ob
obobo31bo4bo6b2o$b2ob2o3$43b2o$44b2o$43bo61$bo3b2o32bo$obo2bo34bo
2bobo$o2bobobo30b3o2b2o$bobo2b2o36bo$2b2o3$50b2o$49b2o$46bo4bo$45b
2o$45bobo61$bo36bobo$obo3b2o31b2o$o2bobobo31bo$bobobo$2b2ob2o51bo$
57bo$57b3o$62bo$61b2o$61bobo$55b3o$57bo$56bo61$b2ob2o30bo$obob2o
31b2o$obo33b2o$bo2b2o$2b2obo4$41bo$41b2o$40bobo3bo$46b2o$45bobo$
50b3o$50bo$51bo61$5bo35bo$4bobo33bo$2o2bobo33b3o$obob2o$2bo35bo$ob
o36bo$2o35b3o3$40bo7bobo$41b2o5b2o$40b2o7bo61$2ob2o39bobo$bobobo
38b2o$bo3bo30bobo6bo$2b3o32b2o$obo34bo$2o45bo$47bobo$42b3o2b2o$42b
o$43bo61$2o3bo48bo$obobobo32bo13bo$2bobobo30bobo13b3o$2bo2bo32b2o$
obo$2o$47bo$47bobo$47b2o3$49b3o$49bo$50bo61$2o46bobo$obob2o42b2o$
2bobobo30bobo9bo$2bo2b2o31b2o4bobo$obo35bo5b2o$2o43bo3$43b2o$44b2o
$43bo61$b2o36bo$bo2b2o31bobo$2b2o2bo31b2o12bo$5bo45bo$2b3o46b3o$2b
o37b2o$obo38b2o$2o38bo2$44b2o$45b2o$44bo61$2bo34bo$bobo34bo$b2obo
31b3o$4bo43bo$b2ob2o41bo$o2bo43b3o$o2bo36b2o$b2o37bobo$40bo2$36b3o
$38bo$37bo61$4bo87bo$2obobob2o83bobo$bobobobo84b2o$bobobobo$2bo3bo
32bo$40b2o$39b2o18$75bo$73b2o$74b2o2$77b2o$77bobo$77bo61$4b2o41bob
o$2obo2bo33bobo4b2o$bobob2o33b2o6bo$bobobo35bo$2bo2bo$3b2o34bo$37b
obo$38b2o2$59b3o$59bo$60bo61$2o36bo$obob2o30bobo$2bobo32b2o$b2obo$
2bob2o$2bo$b2o13$58bo$56b2o$57b2o3$57b2o$57bobo$57bo12$79b3o$79bo$
80bo61$2o2b2o30bobo$o4bo31b2o$b4o32bo2$b2o$o2bo$bobo$2bo48bo$45b3o
2b2o$47bo2bobo$46bo$37bo$37b2o$36bobo61$2o2b2o52bobo$o4bo52b2o$b4o
54bo2$b2o$o2bo32bobo$obo34b2o$bo35bo$44bo$44bobo$40bo3b2o$41bo$39b
3o61$b2o52bo$bobo50bo$2bobo49b3o$3bobo$5bo$b4o$o$obo$b2o2$36bo$37b
2o7bo$36b2o8bobo$46b2o3$46b2o$45b2o$47bo61$4b2o33bo$4bobo30bobo$bo
4bo31b2o$b5o2$b3o$o2bo$b2o39$93bo$91b2o$92b2o3$90b2o$89b2o$91bo2$
86b3o$86bo$87bo61$4bo45bo6bo$2obobo42b2o5b2o$bobo2bo42b2o5b2o$bo2b
2o$2b2o34bo$3bo35bo9b2o$3bobo31b3o9bobo$4b2o43bo61$2o2b2o30bobo$o
4bo31b2o$b4o32bo2$b2o$o2bo$o2bo$b2o20$59bo$58b2o$54bo3bobo$54b2o$
53bobo4$74b3o$74bo$75bo61$b2o45bo$ob3o41b2o$o4bo41b2o$b4o2$b2o$obo
40bo$2o39b2o$42b2o2$36bobo$37b2o4bo$37bo4b2o$42bobo61$bo5bo35bo$ob
o3bobo33bo$o2bobo2bo33b3o$bobobobo$2b2ob2o33bo$41bo$39b3o16$40bo3b
o$41bobo$39b3ob3o61$2b2o43bo$bo2bo33bo8bobo$bob2o34bo7b2o$2o35b3o
11b2o$2b3o46bobo$2bo2bo45bo$3bo2bo$4b2o$48bo$47b2o$47bobo61$5b2o
34bo$4bobo33bo$2o2bo35b3o$obobobo$2bo2b2o31bo$obo36bo$2o35b3o4$46b
o$44b2o$45b2o2$42bo$40bobo$41b2o61$b2ob2o42bo$b2obobo35bo3b2o$6bo
35bobo2b2o$b5o31bo4b2o$o2bo34b2o$2o35b2o4$44bo$44b2o$43bobo61$4b2o
31bo$2b3obo31b2o$bo4bo30b2o15bo$bo2b2o46b2o$2obo49b2o$o2bo$b2o39bo
$42b2o$41bobo2$45b3o$45bo$46bo61$2o3b2o34bo$obobobo33bo$2bobo35b3o
$obobobo$2o3b2o31bo$39bo$37b3o4$44bo$42b2o$43b2o2$40bo$38bobo$39b
2o61$2b2o35bobo$bo2bo34b2o$b2obo35bo$4b2o45bobo$b2o2bo32bo12b2o$o
2b2o31bobo13bo$obo34b2o$b2o$41b2o$40bobo$42bo61$2ob2o2bo32bobo$bob
o2bobo32b2o$bo2bobo2bo31bo$2bobo2b2o$3b2o6$69bo$67b2o$68b2o3$57bo$
55b2o$56b2o3$55b2o$55bobo$55bo61$b2ob2o32bobo$obobobo32b2o$o3bo2bo
31bo10bo$b3obobo41bo$3bob2o42b3o2$45b3o$39b3o5bo$41bo4bo$40bo61$4b
o38bo$2obobo35bobo$ob2o2bo35b2o$4b2o$b3o45bo$o2bo44bo$obo39bo5b3o$
bo40bobo$38bo3b2o$39bo$37b3o61$b2o3bo48bo$o2bobobo46b2o$2obobobo
41bo4bobo$3bob2o37bo3b2o$3o41b2o2bobo$o37bobo2bobo$39b2o$39bo61$b
2o35bo$o2bob2o32b2o3bo$2obobobo30b2o3b2o$3bobobo35bobo$3o3bo$o61b
2o$61b2o$63bo3$51bo$50b2o$50bobo61$2b2o34bo$bo2bo34bo$2bobo32b3o$
3bo$49bo$b5o43bobo$o5bo42b2o$2o2bobo$4b2o34bobo$41b2o$41bo3bobo$
45b2o$46bo61$b2o35bobo$o2bob2o32b2o$bobobobo31bo$2bo4bo$3b4o2$3b2o
$3b2o20$84b2o$84bobo$84bo$61bo$61b2o$60bobo2$64b3o$64bo$65bo61$4b
2o2bo30bobo$2obob4o31b2o11bobo$bobo36bo12b2o$bobob2o47bo$2b2ob2o
38b2o$44bobo$46bo3$47b3o$47bo$48bo61$b2o50bobo$o2bo34bo14b2o$b2o
33bobo15bo$37b2o$b4o41bo$o4bo38b2o$b4o40b2o2$3b2o$3b2o38b2o$42b2o$
44bo61$2o2b2o30bobo2bobo$o4bo31b2o2b2o$b4o32bo4bo2$b4o32bo4bo$o4bo
31b2o2b2o$2o2b2o30bobo2bobo61$b2ob2o31bobo$obobobo31b2o$obo3bo31bo
$bob3o$3bo$bobo$b2o22$64bo$62b2o$63b2o2$87b2o$62bo23b2o$62b2o24bo$
61bobo61$b2o34bobo$ob3o33b2o$o4bo32bo$b4obo$6bo$3b3o$2bo$2b2o2$50b
2o$49bobo$51bo9b2o$60b2o$53bo8bo$52b2o$52bobo61$2b2o34bo$bob3o33bo
$o5bo30b3o$5obo$4b2o$2o38b2o$2o39b2o$40bo6b3o$47bo$48bo$38b3o$40bo
$39bo61$b2o34bo$obo35bo5bo$o4bo30b3o5bobo$b5o38b2o$40bo$b5o34b2o$o
4bo33bobo$obo50b3o$b2o50bo$54bo61$b2o34bobo13bo$o2bo34b2o13bobo$bo
2bo33bo14b2o$2b3o2$2b5o$bo4bo46bo$obobo46b2o$obob2o46b2o$bo$55b2o$
55bobo$55bo61$3b2o33bo$b3obo30bobo$o4bo31b2o$b4o2$b4o$o4bo$b3obo$
3b2o18$97bo$96bo$96b3o10$82bo$81b2o$77bo3bobo$77b2o$76bobo!

I count only 222 strict stills synthable in four. Where's the last one? Or is the LifeWiki count wrong?
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Re: 4 glider syntheses

Postby dvgrn » May 12th, 2019, 8:09 am

Freywa wrote:I count only 222 strict stills synthable in four. Where's the last one? Or is the LifeWiki count wrong?

The count could perfectly well be wrong if my source information was wrong somewhere. The math was

223 = 167 + 7 + 47

EDIT: Holy typos, Batman. 223 = 169 + 7 + 47
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Re: 4 glider syntheses

Postby Freywa » May 12th, 2019, 10:00 am

dvgrn wrote:
Freywa wrote:I count only 222 strict stills synthable in four. Where's the last one? Or is the LifeWiki count wrong?

The count could perfectly well be wrong if my source information was wrong somewhere. The math was

223 = 167 + 7 + 47

First of all, that 167 should be 169 – unzipping the .rar shows 172 files, three of which are oscillators.

Second, I did miss a 4G synth of some strict still life, that of mango with block on dock (19-30501-g4-175 Bob 06-25-2015.lif):
#C >25 -9/-3 0 25 -1/4 4/>xs19_69icw8ozxdd11
x = 30, y = 15, rule = B3/S23
25b2o$8bo15bobo$7bo16bo$2o5b3o11b2obo$b2o18b2obob2o$o5bo18bo2bo$5b2o
19bo2bo$5bobo19b2o5$12bo$11b2o$11bobo!

So the count of 223 synthables is correct after all.
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Re: 4 glider syntheses

Postby Freywa » May 16th, 2019, 10:59 pm

That count of 223 is no longer true. Arie's 4G search has turned up this gem:
x = 24, y = 28, rule = B3/S23
21bobo$21b2o$22bo5$18bo$17b2o$17bobo3$12b3o$14bo$13bo11$2o$b2o$o!
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