Thread For Your Useless Discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Hdjensofjfnen
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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » July 20th, 2018, 11:45 pm

I mean at the same location.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Redstoneboi
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Re: Thread For Your Useless Discoveries

Post by Redstoneboi » July 21st, 2018, 2:06 am

Haven't found one that moves the beehive back to the same location in less than 4 gliders, but I found a way to remove the beehive automatically:

Code: Select all

x = 16, y = 19, rule = B3/S23
7.A$8.A$6.3A4$6.2A6.A$6.2A5.2A$13.A.A7$2.2A$3.A$3A$A!
we could use 2 of the output to rebuild the block, and the rest to restart the reaction.

Though the 2 SE gliders are too close together to be separated by snarks.
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dvgrn
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Re: Thread For Your Useless Discoveries

Post by dvgrn » July 21st, 2018, 10:14 am

Redstoneboi wrote:Haven't found one that moves the beehive back to the same location in less than 4 gliders, but I found a way to remove the beehive automatically... we could use 2 of the output to rebuild the block, and the rest to restart the reaction.

Though the 2 SE gliders are too close together to be separated by snarks.
Seems like once you start adding catalysts, you might as well add more:

Code: Select all

x = 97, y = 139, rule = LifeHistory
58.2A$58.A.A$60.A4.2A$56.4A.2A2.A2.A$56.A2.A.A.A.A.2A$58.BABABA.A$59.
B2ABA.A$60.2B.BA$59.4B6.A$50.2A6.5B6.3A$51.A6.B2A3B8.A$51.A.AB3.B2A4B
6.A.A$52.2AB.10B5.A.AB$54.13B5.A3B$54.14B6.4B$54.15B5.6B$56.8B2.4B4.
7B$56.6B5.4B2.8B.4B.B$55.9B4.17B.B2A$54.4B4.2A5.18B2A$53.4B5.A6.16B.
2B$52.4B7.3A3.16B$51.4B10.A3.15B$50.4B11.A.2AB.12B$49.4B10.2A.A.AB2.
11B$48.4B11.A2.A5.10B$47.4B14.2A5.2B2A6B$46.4B21.3B2A6B$45.4B23.10B$
44.4B24.8B.B2A.A$43.4B24.7B3.B2AB3A$42.4B25.6B6.B4.A$41.4B27.8B2.2A.
3A$40.4B28.8B.A2.2A$39.4B28.8B.A.A$38.4B20.A8.8BA.A.2A.A$37.4B21.3A6.
6B.2BAB.A.2A$36.4B25.A4.2B3D2B2.2B2.A$35.4B25.2A4.4BD2B3.B.2A$34.4B
26.4B.4B3DB2.A.A2.2A$33.4B29.11B2.2A2.A2.A$32.4B29.12B7.2A$31.4B30.
12B$30.4B31.11B$29.4B33.7B9.2A$28.4B34.8B8.A$27.4B36.9B3.BA.A$26.4B
37.11B.B2A$25.4B37.14B$24.4B36.B.15B$23.4B36.2A15B$22.4B37.2A13B.B2A$
21.4B39.14B.BA.A$20.4B40.11B7.A$19.4B43.10B6.2A$18.4B43.12B$17.4B44.
12B$16.4B45.11B$3.2A10.4B44.2A.9B$4.A9.4B45.A3.8B$2.A10.4B44.A.A3.8B$
2.5A5.4B5.2A38.2A5.7B$7.A4.4B5.A45.7B$4.3AB2.7B.BA.A46.6B$3.A.2B3.7B.
B2A47.D2B2D2B$3.4A12B49.B3D4B2.2A$.2A2.BA3B2A7B47.4BD7BA.A$A2.3AB.2B
2A7B47.11B3.A$2A.A.B3.10B47.5B2A4B3.2A$3.A8.8B46.5B2A3B$3.2A7.9B45.
10B$13.3B2.4B44.9B$11.5B3.4B43.9B$11.2A7.4B43.8B$12.A8.4B41.8B$9.3A
10.4B41.6B$9.A13.4B40.6B$24.4B39.6B$25.4B38.7B$26.4B38.6B$27.4B36.6B$
28.4B35.6B$29.4B34.7B$30.4B33.7B8.A$31.4B33.6B6.3A$32.4B32.2B3D2B4.A$
33.4B31.2BD4B4.2A$34.4B30.B3D4B.4B$35.4B22.2A5.11B$36.4B20.B2AB4.12B$
37.4B19.4B4.12B$38.4B19.2B.16B.4B3.B$39.4B17.11B.14B2.B6.2A$40.4B15.
30B6.A$41.4B14.30B3.BA.A$42.4B13.29B4.B2A$43.4B12.34B$44.4B11.34B$45.
4B10.33B$46.4B10.32B.2B$47.4B10.B2.3B.26B2A$48.4B12.4B2.22B.B2A$49.4B
11.B2AB2.23B.B$50.4B11.2A3.18B$51.4B14.17B$52.4B12.17B$53.4B10.18B$
54.4B9.19BA$55.4B6.18B2.A.A$56.4B4.18B4.2A$57.4B3.19B$58.4B.20B$59.
24B$60.22B$61.20B$62.10BC7B$63.10BC5B$61.10B3C4B$60.18B$59.21B$58.4B
2.17B$57.4B3.7B2A6BC2B$56.4B5.2B.3B2A5B2C2B$55.4B10.9BCBC2B$54.4B11.
10B.4B$53.4B11.10B3.4B$52.4B12.10B4.4B$51.4B14.10B4.4B$50.4B15.11B4.
3B$50.3B14.5B.3B.4B4.2B$50.2B15.2AB4.B3.4B4.B$50.B17.A10.4B$65.3A12.
4B$65.A15.4B$82.4B$83.4B$84.3B$85.2B$86.B!
This could be completed to make an adjustable period gun, with an Fx119 inserter and maybe a BNE14T30 -- there are a few other options for the glider coming from the southeast.

Code: Select all

x = 222, y = 181, rule = LifeHistory
88.2A$88.A.A$90.A4.2A$86.4A.2A2.A2.A$86.A2.A.A.A.A.2A$88.BABABA.A$89.
B2ABA.A$90.2B.BA$89.4B6.A$80.2A6.5B6.3A$81.A6.B2A3B8.A$81.A.AB3.B2A4B
6.A.A$82.2AB.10B5.A.AB$84.13B5.A3B$84.14B6.4B$84.15B5.6B$86.8B2.4B4.
7B$86.6B5.4B2.8B.4B.B$85.9B4.17B.B2A$84.4B4.2A5.18B2A$83.4B5.A6.16B.
2B$82.4B7.3A3.16B$81.4B10.A3.15B$80.4B11.A.2AB.12B$79.4B10.2A.A.AB2.
11B$78.4B11.A2.A5.10B$77.4B14.2A5.2B2A6B$76.4B21.3B2A6B$75.4B23.10B$
74.4B24.8B.B2A.A$73.4B24.7B3.B2AB3A$72.4B25.6B6.B4.A$71.4B27.8B2.2A.
3A$70.4B28.8B.A2.2A$69.4B28.8B.A.A$68.4B20.A8.8BA.A.2A.A$67.4B21.3A6.
6B.2BAB.A.2A$66.4B25.A4.2B3D2B2.2B2.A$65.4B25.2A4.4BD2B3.B.2A$64.4B
26.4B.4B3DB2.A.A2.2A$63.4B29.11B2.2A2.A2.A$62.4B29.12B7.2A$61.4B30.
12B$60.4B31.11B$59.4B33.7B9.2A$58.4B34.8B8.A$57.4B36.9B3.BA.A$56.4B
37.11B.B2A$55.4B37.14B$54.4B36.B.15B$53.4B36.2A15B$52.4B37.2A13B.B2A$
51.4B39.14B.BA.A$50.4B40.11B7.A$49.4B43.10B6.2A$48.4B43.12B$47.4B44.
12B$46.4B45.11B$33.2A10.4B44.2A.9B$34.A9.4B45.A3.8B$32.A10.4B44.A.A3.
8B$32.5A5.4B5.2A38.2A5.7B$37.A4.4B5.A45.7B$34.3AB2.7B.BA.A46.6B$33.A.
2B3.7B.B2A47.D2B2D2B$33.4A12B49.B3D4B2.2A$31.2A2.BA3B2A7B47.4BD7BA.A$
30.A2.3AB.2B2A7B47.11B3.A$30.2A.A.B3.10B47.5B2A4B3.2A$33.A8.8B46.5B2A
3B$33.2A7.9B45.10B$43.3B2.4B5.B38.9B$41.5B3.4B2.4B37.9B$41.2A7.4B.6B
36.8B$26.2A14.A8.12B33.8B$27.A4.3B4.3A9.13B33.6B$27.A.A5B4.A9.16B32.
6B$28.2A6B13.16B32.6B$30.6B6.B.B3.17B32.7B$31.6B.B2.25B32.6B$30.38B
29.6B$30.39B28.6B$31.39B27.7B$28.2B.40B26.7B8.A$27.2A4B2A37B26.6B6.3A
$27.2AB.2B2A6B3.24B.4B25.2B3D2B4.A$28.B2.5B2.B5.24B2.4B24.2BD4B4.2A$
30.6B8.23B4.4B23.B3D4B.4B$30.4B10.21B.3B3.4B15.2A5.11B$30.2B2AB8.20B
3.4B3.4B13.B2AB4.12B$28.2AB.2A8.20B5.4B3.4B12.4B4.12B$27.A.AB10.16B.
2B8.4B3.3B13.2B.16B.4B3.B$27.A12.2A2B.B3D4B.3B12.4B3.2B12.11B.14B2.B
6.2A$26.2A11.ABAB2.2BD4B18.4B3.B11.30B6.A$38.BA2B3.2B3D2B19.4B14.30B
3.BA.A$37.B2AB4.6B21.4B13.29B4.B2A$37.3B4.7B22.4B12.34B$37.2B4.8B23.
4B11.34B$37.B4.8B25.4B10.33B$42.8B26.4B10.32B.2B$40.2A2B.6B26.4B10.B
2.3B.26B2A$39.A.AB.7B27.4B12.4B2.22B.B2A$39.A4.6B29.4B11.B2AB2.23B.B$
38.2A4.6B30.4B11.2A3.18B$44.6B31.4B14.17B$43.8B31.4B12.17B$44.8B31.4B
10.18B$43.9B32.4B9.19BA36.A11.2A$43.9B33.4B6.18B2.A.A34.A.A9.B2AB$43.
10B33.4B4.18B4.2A26.A3.2A2.A.A9.3B$43.5B2A3B34.4B3.19B30.A.A2.A2.2A.
2A9.B.B$37.A5.5B2A4B3.2A29.4B.20B30.A.A3.A.A2.B8.5B$37.3A3.11B3.A31.
24B31.A.4A2.AB2A6.6B$4.C23.A11.A2.4BD7BA.A32.22B4.2A28.A3.A.A.2A4.8B$
5.C22.3A8.2A4.B3D4B2.2A34.20B4.A.A27.A2.BA.A2.13B$3.3CB24.A7.6BD2B2D
2B40.10BD7B5.A28.A.2BA.A5.13B$4.4B10.A11.2A3.B5.10B42.10BD5B4.2A.A3.
2A22.2A.2BA5.15B$5.4B7.3A11.8B2.11B40.10B3D4B4.A3.A3.A9.A17.3B4.15B$
6.4B5.A16.19B39.18B4.A.2A.2A.A9.3A16.2B.B.17B$7.4B4.2A15.20B2A35.21B
3.A.A.A.A13.A8.29B$2A6.9B14.21B2A34.4B2.17B3.4B14.2A7.4BD11B2A13B$.A
7.6B14.25B33.4B3.7B2A6BD2B3.4B13.5B.B2.4B3D9B2A14B$.A.2A5.6B3.B2.2B2.
26B34.4B5.2B.3B2A5B2D2B2.7B6.3B4.6B.4BDBD20B3.B2A$2.A2.A4.19BD14B4.4B
33.4B10.9BDBD10B.2B2.6B2.13BD19B4.A2.A$3.2AB3.20BDBD4B.6B6.B.B2A.A28.
4B11.10B.15B.25B2.2B2.B3.6B5.2A.A$4.14B2A9B3D4B2.B.5B6.B2AB3A25.4B11.
10B3.17BD19B14.6B7.A$5.13B2A11BD4B7.2A8.B4.A23.4B12.10B3.16BD18B14.9B
6.2A$6.29B8.A8.2A.2A.A22.4B14.10B3.14B2D17B15.2A4.4B$6.17B.4B16.3A6.A
.A.A22.4B15.11B3.14B2D17B15.A5.4B$7.15B3.4B17.A6.A26.3B14.5B.3B.4B3.
14BD9B.7B12.3A7.4B$7.15B3.B.A2B.2A19.2A26.2B15.2AB4.B3.4B3.22B4.3B.B
2A10.A10.4B$8.13B5.A.A2B.A47.B17.A10.4B3.3B.10B2.4B9.BA.A$10.13B2.A.A
B2.A63.3A12.4B3.2B.11B2.5B10.A$9.8B4.2A.A.A3.A64.A15.4B3.B.7B2A3B4.2A
10.2A$9.6B6.2ABA2.4A.A79.4B4.7B2A3B4.A$9.5B8.B2.A.A3.A.A79.4B3.11B6.
3A$9.B.B9.2A.2A2.A2.A.A80.3B4.4B.2B11.A$10.3B9.A.A2.2A3.A82.2B$9.B2AB
9.A.A91.B$10.2A11.A39$220.C$219.2C$219.C.C!
It's a little tricky to use two of the three remaining output gliders to activate those edge shooters, but once you've come this far you might as well throw in a stable highway robber to steal one of the two gliders on parallel lanes. But it's probably more sensible to just drop in an eater to get rid of one glider and split the other one if you need to.

It's not quite clear what the point of all this would be, but given this thread's title there's probably no point in worrying about that too much.

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Hdjensofjfnen
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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » July 22nd, 2018, 7:18 pm

The glider survives the first collision but not the second.

Code: Select all

x = 19, y = 9, rule = B3/S23
2ob6o$2ob6o$2o14bobo$2o5b2o7b2o$2o5b2o8bo$2o5b2o$7b2o$6ob2o$6ob2o!
[[ STOP 111 ]]
EDIT: There's also an interesting remnant of Kok's galaxy in gen 111.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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BlinkerSpawn
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Re: Thread For Your Useless Discoveries

Post by BlinkerSpawn » July 23rd, 2018, 6:48 pm

Code: Select all

x = 16, y = 14, rule = B3/S23
7bo$8bo$6b3o2$14bo$4b2o7bo$5b2o6b3o$4bo2$2o$b2o$o8b2o$8b2o$10bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Hdjensofjfnen
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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » July 23rd, 2018, 9:47 pm

BlinkerSpawn wrote:

Code: Select all

x = 16, y = 14, rule = B3/S23
7bo$8bo$6b3o2$14bo$4b2o7bo$5b2o6b3o$4bo2$2o$b2o$o8b2o$8b2o$10bo!

Code: Select all

x = 13, y = 15, rule = B3/S23
bo$2bo$3o4$11bo$10b2o$10bobo4$6b2o$5b2o$7bo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Hdjensofjfnen
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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » August 1st, 2018, 8:20 pm

I nearly got away with a three glider synthesis of six blocks and a glider, but sadly, no.

Code: Select all

x = 11, y = 9, rule = B3/S23
7bo$6b2o$6bobo$3o$2bo$bo$8b2o$8bobo$8bo!
[[ STOP 70 ]]

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

dani
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Re: Thread For Your Useless Discoveries

Post by dani » August 2nd, 2018, 12:58 pm

Slightly interesting

Code: Select all

x = 8, y = 15, rule = B3/S23
5bo$5b3o$6bo$b2o$o2bo$o2bo$b2o2$2bo$b3o$2obo$3o$3o$3o$b2o!

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Hdjensofjfnen
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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » August 2nd, 2018, 2:57 pm

This collision was discovered by the MIT group in 1971. Dug it out of Lifeline issue 4:

Code: Select all

2o6b$obo5b$bo3b3o$5bo2b$5b3o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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KittyTac
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Re: Thread For Your Useless Discoveries

Post by KittyTac » August 3rd, 2018, 9:35 am

The one on the right is faster at making a TL than the one on the left. Completely useless, but mildly interesting.

Code: Select all

x = 28, y = 13, rule = B3/S23
2$19bo$17bo3bo$7bo11bo$6b3o7bob3obo$7bo11bo$17bo3bo$19bo!

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KittyTac
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Re: Thread For Your Useless Discoveries

Post by KittyTac » August 3rd, 2018, 12:31 pm

Cordership+G=B

Code: Select all

x = 108, y = 89, rule = B3/S23
11$45bo$45bo30bo$45bo29bo$42bob3obo26b3o$42bob5o13bo$46bobo12bobo$43b
2o19bo$43b2o16bo3bo$44bo16bo$44b2o16bo2bo$45bo3b2o10b2obo$30b2o13bo16b
2o5b2o$33b2o4bo3bob2o22b2o$30b2ob4o3bo3bo$27b5o4b4o$30b3o6bo$31bo$30b
3o$37bo$37bo22bo16b2o$60b2o15b2o$59bo$42bo17b3o$38b5o7b2o9bo$38bo3bobo
4b3o$38b3o3b3o3b3o$19bo24b2o2b3o$19bo24bo27bo12b2o$19bo21b3o28bo12b2o$
16bob3obo18b2o29bo8bo$16bob5o56bobo$20bobo50b3o2bo3bo$17b2o55bob5o$17b
2o61bo$18bo56b2o$18b2o$19bo3b2o$19bo$17bob2o$18bo4$56b3o$60bo$60b2o$
60bo2bo$61bobo$61bo$23b2o35b2o$23b2o34bobo$61b2o$58b2o$46bo13bo$46bo$
46bo8bo$53bobo$31b2o14b3o2bo3bo$31b2o15bob5o$54bo$49b2o5$39b2o$39b2o!

Jormungant
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Re: Thread For Your Useless Discoveries

Post by Jormungant » August 4th, 2018, 4:25 pm

Useless contraption from a earlier useless discovery

Code: Select all

x = 1338, y = 380, rule = LifeHistory
932.2A7.A$929.2A2.A5.3A$927.3A.2A5.A$926.A4.B6.2A$927.3AB2AB.5B$929.A
.2AB.3B$931.9B$932.9B.B$932.5B2A3B2A$932.5B2A3B2A$932.8B.2B$932.7B$
932.11B3.B$931.13B.2BA$930.16BA.A$930.5BA9B.BA$929.5BABA8B$928.2B3ABA
B2A6B$927.B6A2BA8B$927.4B2ABA9B$926.BA2BA2B2A9B$925.6B3A3B2A5B$924.4B
A3B2A3B2A4B$924.5B2A11B$923.8B3A7B$854.2B66.11BA8B$854.BAB65.20B$852.
2BABA49.2A13.18B.B$852.BA3BA48.3B9.B.7BA12B$853.BA2B.A8.A36.A3BA8.2AB
.5BABA10B$855.A.2BAB4.3A36.A4BA7.2A7BABA12B$856.A3BAB2.A40.BABA.A7.2B
.6BA10B.2A$857.ABA2B2.2A41.A.ABAB4.19B3.A$857.BAB2.4B42.A4BA6.15B5.3A
$858.2B.BAB45.A3BAB.B3.4B3.8B7.A$136.A7.2A713.B.ABAB4.B39.3B3.8B5.5B$
136.3A5.A2.2A711.2B2AB.2A42.2A.BA7B5.6B$139.A5.2A.3A708.7B2A44.BABA5B
5.7B$138.2A6.B4.A708.2B2D3B45.2B2A5B4.4B.2B$138.5B.B2AB3A709.BD2BD2B
43.2AB.8B.5B2.4B$140.3B.B2A.A711.D4BD43.A.AB3.7BA3B5.2A$138.9B712.D2B
2D2BD42.A3.2B2A2B.2BCD2B6.A$135.B.9B712.D2BD2.D2BD40.2A3.B.2AB2.BD2AC
8.3A$134.2A3B2A5B711.3BD4.D2BD44.B2.B2.BD4BD9.A$134.2A3B2A5B710.4B6.D
3B49.8B$135.2B.8B709.4B8.4B47.4B2.4B$139.7B708.4B10.4B45.4B4.4B$131.B
3.11B707.4B12.4B43.4B6.4B$130.A2B.13B705.4B14.4B41.4B8.4B$129.A.A16B
703.4B16.4B39.4B10.4B$130.AB.15B702.4B18.4B37.4B12.4B$133.16B700.4B
20.4B35.4B14.4B$134.16B698.4B22.4B33.4B16.4B227.2B$133.18B696.4B24.4B
31.4B18.4B226.BAB$51.2B81.17B695.4B26.4B29.4B20.4B223.2BABA$50.3B81.
18B693.4B28.4B27.4B22.4B222.BA3BA$50.B2A2B79.19B691.4B30.4B25.4B4.4B
16.4B222.BA2B.A8.A$49.AB2A2B80.12B2A5B689.4B32.4B23.4B4.4B18.4B223.A.
2BAB4.3A$39.A8.A.4B82.11B2A5B688.4B34.4B21.4B4.4B20.4B223.A3BAB2.A$
39.3A4.4B.A85.18B686.BA2B36.4B19.4B4.4B22.4B223.ABA2B2.2A$42.A2.2B2AB
A85.20B684.2A2B38.4B17.4B4.4B24.4B222.BAB2.4B$41.2A2.2B2AB86.20B683.
2B2A40.4B15.4B4.4B26.4B222.2B.BAB$41.4B2.3B87.B.18B13.2B666.4B42.4B
13.4B4.4B28.4B222.B.ABAB$43.BAB.2B89.20B.B9.3B665.4B44.4B11.4B4.4B30.
4B222.2B2AB.2A$37.B4.BABA.B91.18B.B2A8.3A2B662.4B46.4B9.4B4.4B32.4B
220.7B2A$39.2A.B2A2B90.22B2A7.B3A2B661.4B48.4B7.4B4.4B34.4B220.2B2D4B
$39.2A7B89.2A.17B.2B7.B.3AB661.4B50.4B5.4B4.4B36.2B2A216.2B.BD2BD3B$
40.3B2D2B91.A3.19B4.B3A.B662.4B52.4B3.4B4.4B38.BABA213.5BD4BD2B$40.2B
D2BDB88.3A5.15B6.2B3AB656.B5.4B54.4B.4B4.4B40.A3B212.4BD2B2D2BDB$41.D
4BD88.A7.8B3.B3A3.B.3B3A656.2B4.4B56.7B4.4B42.4B210.4BD2BD2BD2B2D$40.
D2B2D2BD97.5B5.A7B3.3B655.3B3.4B58.5B4.4B44.4B209.BD.D2BD4BD2B2D$39.D
2BD2.D2BD96.6B5.A6BAB.2B655.4B2.4B59.5B3.4B46.4B210.4B6.4B$38.D2BD4.D
3B95.7B5.5BABAB656.4B2.4B59.7B.4B48.4B208.4B8.4B$37.3BD6.4B95.2B.4B4.
5B2A2B655.4B3.3B59.4B.7B50.4B206.4B10.4B$36.4B8.4B92.4B2.5B.8B.B2A
652.4B4.2B59.4B3.5B52.4B204.4B12.4B$35.4B10.4B91.2A5.11B3.BA.A650.4B
5.B59.4B4.5B53.4B202.4B4.4B6.4B$16.2A16.4B12.4B91.A6.2B2D2B.2B2A2B3.A
649.4B65.4B4.7B53.4B200.4B4.4B8.4B$9.2A3.2B2AB14.4B14.4B87.3A8.D2BDB
2.B2A.B3.2A647.4B65.5B3.4B.4B53.4B198.4B4.4B10.4B$8.B2AB2.4B14.4B16.
4B86.A9.D4BDB2.B2.B651.4B65.5B3.4B3.4B53.4B196.4B4.4B12.4B$9.2B3.6B.B
9.4B10.4B4.4B94.D2B2D2BD3.B652.4B65.5B3.4B5.4B16.2A35.4B194.4B4.4B14.
4B$10.2B2.10B6.4B12.4B4.4B92.D2BD2BD2BD654.4B65.5B3.4B7.4B14.B2A2B3.
2A29.4B192.4B4.4B16.4B$9.2B2A11B5.4B7.2A5.4B4.4B72.2A13.3BD2BD.3BD2BD
652.4B65.5B3.4B9.B3A14.4B2.B2AB29.4B190.4B4.4B18.4B$6.B.3B2A12B3.4B7.
B2AB5.4B4.4B64.2A3.2B2AB14.D2BD4.2BD2BD650.4B65.5B3.5B10.A3B9.B.6B3.
2B31.4B188.4B4.4B20.4B$5.2A18B2.4B9.2B7.4B4.4B62.B2AB2.4B14.D2BD6.2BD
2BD285.4B359.4B65.5B3.5B12.A3B6.10B2.2B33.4B186.4B4.4B22.4B$5.2AB.15B
2.4B11.2B3.B3.4B4.4B62.2B3.6B.B9.D2BD8.2BD2BD284.4B358.4B65.5B3.5B5.
2A7.4B5.11B2A2B33.4B184.4B4.4B24.4B$6.B3.19B11.4B.B2A3.4B4.4B62.2B2.
10B6.D2BD10.2BD2BD283.4B70.7B249.7B24.4B65.5B3.5B4.2B2AB7.4B3.12B2A3B
.B31.4B50.7B125.4B34.4B$10.18B10.8B2A4.4B4.4B60.2B2A11B5.D2BD7.2A3.2B
D2BD282.5B69.7B249.7B23.4B65.5B3.5B5.4B9.4B2.18B2A31.4B49.7B124.4B36.
4B$11.19B2.2B2.6B2AB.B6.4B4.4B56.B.3B2A12B3.D2BD7.B2AB4.BD2BD281.6B
68.7B249.7B22.4B65.5B3.5B3.B2.3B11.4B2.15B.B2A32.4B48.7B123.4B38.4B$
11.31B2A10.4B4.4B54.2A18B2.D2BD9.2B2.5BD3B280.7B67.7B249.7B21.4B65.5B
3.5B3.2AB.4B11.19B3.B26.B3.D2B2D2BD47.7B122.4B40.4B$12.7B.24B11.4B4.
4B53.2AB.15B2.D2BD11.2B.4B2.D3B279.8B66.4B252.4B23.4B65.5B3.5B4.2A8B
10.18B33.D2BD2BD2BD46.4B124.4B42.4B$12.6B2.28B8.4B4.4B53.B3.15BD2BD
11.6B2AB2.4B283.4B64.4B252.4B23.4B65.5B3.5B6.B.B2A6B2.2B2.19B33.D2BD
3B.D2BD3B13.2A26.4B124.4B44.4B$11.7B.29B9.4B4.4B56.14BD2BD10.8B2A4.4B
283.4B62.4B252.4B23.4B65.5B3.5B10.2A31B32.D2BD2B4.D2BD14.B2A2B3.2A18.
4B124.4B46.4B$11.6B.2A27B2A9.4B4.4B56.12BD2BD3B2.2B2.6B2AB.B6.4B283.
4B60.4B253.3B23.4B65.5B3.5B11.24B.7B32.D2BD2B6.D2BD14.4B2.B2AB17.3B
124.4B48.4B$5.A6.5BABAB7.4B.14B2A10.4B4.4B55.11BD3BD15B2A10.4B283.4B
58.4B254.2B23.4B65.5B3.5B8.28B2.6B31.D2BD2B8.D2BD9.B.6B3.2B18.2B124.
4B50.4B$5.3A4.7BA9.4B2.11B.B12.4B4.4B55.7B.BD2BD2BD16B11.4B283.4B56.
4B255.B23.4B65.5B3.5B9.29B.7B29.D2BD2B10.D2BD6.10B2.2B19.B124.BA2B52.
4B$8.A2.8B11.4B2.10B15.4B4.4B54.6B2.D2BDBD2BD8B3A8B8.4B283.4B54.4B
279.4B65.5B3.5B9.2A29B.6B28.D2BD2B3.2A7.D2BD5.11B2A2B142.2A2B54.4B$7.
2A2.7B13.14B17.4B4.4B52.7B.D2BD3BD2BD7BABA8B9.4B283.4B52.4B279.4B65.
5B3.5B10.2A14B.4B7.9B6.A21.D2BDB4.B2AB7.D2BD3.12B2A3B.B138.2B2A56.4B$
7.10B15.14B17.4B4.4B51.6B.D2BD5BD2BD4BA3BA7B2A9.4B283.4B50.4B279.4B
65.5B3.5B12.B.11B2.4B9.8B4.3A20.3BD5B2.2B9.D2BD2.18B2A136.4B58.4B$9.
8B15.13B19.4B4.4B44.A6.5BD2BD7.D2BD.2BAB2A2BA5B2A10.4B283.4B48.4B279.
4B65.5B3.5B15.10B2.4B11.8B2.A22.3BD2.4B.2B11.D2BD2.15B.B2A135.4B60.4B
$9.8B15.13B20.4B4.4B43.3A4.4BD2BD9.D2BD2.A3BA6B.B12.4B283.4B46.4B279.
4B65.5B3.5B17.14B13.7B2.2A20.4B2.B2A6B11.D2BD15B3.B135.4B62.4B$6.2A.
8B15.8B.2B23.4B4.4B45.A2.4BD2BD11.D2BD2.B2A7B15.4B283.4B44.4B279.4B
65.5B3.4B18.14B15.10B19.4B4.2A8B10.DABDBA12B138.4B64.B3A$4.2B2A9B15.
8B27.4B4.4B43.2A2.3BD2BD13.D2BD8BAB17.4B283.4B42.4B279.4B65.5B3.4B20.
13B15.8B20.4B6.B.B2A6B2.2B2.BABDABC2A10B138.4B66.A3B$4.13B15.9B27.4B
4.4B42.6BD2BD15.D2BDBA5BA2B17.4B283.4B40.4B73.B127.B77.4B65.5B3.4B21.
13B15.8B19.4B10.2A15BDABADA10B137.4B68.A3B$3.14B15.10B27.3B5.4B43.3BD
2BDB15.BD2BDA4BA2B19.4B283.4B38.4B202.2B75.4B65.5B3.4B24.2B.8B15.8B.
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4B2.10B7.4B12.B.11B2.D2BD9.D2BD4B4.3A125.4B80.4B$.13BABA13B.7B6.3BA
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6B8.3BA35.D2BD4.2A5.2A17.10B2.D2BD11.D2BC4B2.4B27.2A2B311.4B214.4B
130.5B3.4B28.4B5.9B7.ABAB.14B2A2.4B17.10BD2BD13.D2BD3B2.2A125.4B84.4B
$5.BABA5B3A12B.7B9.3AB35.D2BD.2B2A5.A16.B.11B2.D2BD9.D2BD4B4.4B27.4B
309.4B216.4B128.5B3.4B28.4B5.6B.12BA16B2A.4B17.10BD2BD15.D2BD6B124.4B
86.4B$5.BABA29B9.4B35.D2BD3B3.BA.A15.2A14B.D2BD7.3BD5B5.4B27.4B307.4B
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B.3BA5B2.2B2.19B10.4B.B33.D2BD4B.B2A16.2A16BD2BD9B.6B5.4B27.4B20.B.B.
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4B4.4B74.4B$.2A8B10.18B10.5B34.D2BDB2A2B19.18BD2BD7B.7B6.4B27.4B18.9B
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A21.16BD7B.7B9.4B26.5B173.3B123.4B226.4B55.4B59.5B3.4B28.4B10.2A4BA
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3.6B.B9.B2AD2.4B27.4B8.6B2.5BD2BD19B105.4B4.4B104.4B$60.4B14.4B19.AB
27.4B6.10B2.2B16.4B27.4B144.B2A4BA2BAB2.2B73.16B85.A194.4B32.2B2ABDB
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61.4B12.4B48.4B9.B.6B3.2B16.4B27.4B104.43B2A4BA124B10.40B3.A2BA194.4B
31.BABABD4B57.5B3.4B28.4B10.5B3.2A3.2B2AB16.4B27.4B9.15BD15B2A107.4B
4.4B108.4B$62.4B10.4B48.4B14.4B2.B2AB16.4B27.4B103.40BA4BA3BA123B4AB
6.41B2.A2BA3.B191.4B28.2B.BA3BD3B56.5B3.4B28.A3B12.5B9.2A16.4B6.B20.
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A.ABAB9.D2BD24.4B4.5B7.2B2.10B6.2BAB8.B$112.4B94.4B4.4B42.D2AB9.B.6B
3.2B5.4B7.4B35.4B60.3BD4B.B2A19.5BAB76.2B247.4B19.4B24.B2AB.4B2A.2A4B
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7.2B2A11B5.BABA7.2A$113.4B92.4B4.4B35.B8.BA2B6.10B2.2B7.3B6.4B35.4B
60.3BD3B3.BA.A18.4BABAB14.B60.2B246.4B21.4B24.A.A2.A2B6A3B18.4B.4B.B
25.4B49.8B184.4B.B25.4B10.19B2.2B2.6B2AB.B17.2ABA2B.B3.D2BD28.9B5.B.
3B2A12B4.B2A7.B2AB$114.4B90.4B4.4B37.2A7.ABAB5.11B2A2B7.2B5.4B35.4B
60.4B.2B2A5.A20.BA3BA14.B60.2B245.4B23.4B24.A3.ABA.3A.BA2B17.4B.4B2.
2B23.4B49.8B186.4B27.4B9.15BD15B2A20.B2A3.4BD2BD30.7B5.2A18B2.3B10.2B
$115.4B80.4B4.4B4.4B37.B2AB7.2AB4.12B2A3B.B5.B4.4B35.4B60.4B4.2A5.2A
19.A.2BAB75.2B201.2B41.4B25.4B14.3B11.BABA2B2A4B15.9B3.3B21.4B49.8B
188.5B26.4B9.7B.7BD16B21.AB.BA3BD2BD32.5B6.2AB.15B2.4B11.2B3.B$116.4B
78.4B4.4B4.4B39.2B10.3B2.18B2A8.4B35.4B60.4B31.BA2B.A77.2B243.4B27.4B
27.2BA10B13.10B3.B22.4B49.8B190.4B27.4B8.6B2.5BD2BD8B3A8B19.BABABD2BD
34.4B7.B3.19B11.4B.B2A$117.4B76.4B4.4B4.4B35.B3.2B11.4B2.15B.B2A7.4B
35.4B60.4B32.A3BA86.2B234.4B29.4B27.4B2A18.9B22.16B42.8B165.9B18.4B
27.4B6.7B.7BD2BD7BABA8B19.2B2ABD2BD34.5B10.18B10.8B2A$118.4B74.4B4.4B
4.4B35.2AB.2BAB11.19B3.B7.4B35.4B60.4B33.BABA54.4B29.2B233.4B31.4B26.
4B19.4B.5B23.16B40.4BABAB167.B.B.B.B20.4B27.2B2A5.6B.9BD2BD4BA3BA7B2A
16.2AB.4BD2BD33.B.4B10.19B2.2B2.6B2AB.B$119.4B83.B4.4B36.2A4B2A2B10.
18B10.4B35.4B60.4B35.BAB23.2A30.4B28.2B232.4B33.4B47.4B.5B25.16B38.5B
2AB196.4B27.2A2B5.5BD3B7.D2BD.2BAB2A2BA5B2A15.A.AB3.3BD2BD35.4B9.31B
2A$120.4B86.4B38.B.3BABA3B2.BA2.19B10.2A2B35.4B60.4B48.B.2B9.ABA31.4B
27.2B231.4B35.4B45.4B.4B.B25.17B36.7BA198.4B27.BA2B4.4BD2BD9.D2BD2.A
3BA6B.B16.A5.2A2B.D2BD35.4B9.7B.24B$121.4B84.4B42.3B2A6B3A19B9.ABAB
35.4B60.4B61.3BA32.4B26.2B230.4B37.4B43.4B.4B2.2B23.4B7.8B34.8B200.4B
27.4B2.4BD2BD11.D2BD2.B2A7B17.2A5.2A4.D2BD35.4B8.6B2.28B$122.4B82.4B
43.10BA3BA9B.7B9.3BA35.4B60.4B61.4B34.4B256.4B39.4B41.4B.4B3.3B21.4B
9.8B32.8B202.4B27.4B.3BD2BD13.D2BD8BAB32.D2BD35.4B6.7B.29B$123.4B80.
4B40.11B3A4BA9B2.6B8.4B35.4B60.4B61.4B36.4B204.B49.4B36.B4.4B39.4B.4B
4.B22.4B11.8B30.8B204.4B27.6BD2BD15.D2BDBA5BA2B23.B8.D2BD35.4B5.6B.2A
27B2A$124.4B78.4B41.11B3ABAB2A10B.7B6.4B35.4B60.2A2B61.4B38.4B252.4B
43.4B37.4B.4B27.4B13.8B28.8B206.4B27.4BD2BDB15.BD2BDA4BA2B34.D2BD35.
4B5.5BABAB7.4B.14B2A$125.4B76.4B41.2A3BA6B2A3BA13B.6B5.4B35.4B60.2B2A
61.4B40.4B250.4B45.4B35.4B.4B27.4B14.4B.4B26.8B208.4B27.2BD2BD2B15.2B
D2BD2B3A2B35.D2BD35.4B4.7BA9.4B2.11B.B$126.4B74.4B42.2A2B2A10B.4B7.9B
5.4B35.4B60.2BAB61.4B42.4B248.4B47.4B33.4B.4B27.4B15.4B2.4B24.8B210.
4B23.2B.BD2BD3B15.3BD2BDB.2B38.D3B7.B27.4B2.8B11.4B2.10B$127.4B72.4B
44.B.2B3ABA4B2.4B9.8B4.4B35.4B60.4B61.4B44.4B246.4B49.4B31.4B.4B27.4B
16.4B3.4B4.4B14.8B212.4B20.7BD2BD2B15.2BD2BD2B42.D3B6.2B27.4B.7B13.
14B$128.4B70.4B47.3B3A4B2.4B11.8B2.4B35.4B60.4B61.4B46.4B244.4B51.4B
29.4B.4B27.4B17.4B4.4B4.4B14.6B214.4B19.8BD2BDB15.BD2BD3B43.4B5.3B27.
10B15.14B$129.4B68.4B49.3BA10B13.7B.4B35.4B60.4B61.4B48.4B242.4B53.4B
27.4B.4B27.4B18.5B4.4B4.4B13.5B216.4B17.10BD2BD15.CBAD6B42.4B4.4B27.
9B15.13B$130.4B66.4B49.14B15.10B35.4B60.4B61.4B50.4B240.4B55.4B25.4B.
4B27.4B19.6B4.4B4.4B12.4B218.4B17.10BD2BD13.D2AD3B2.2A43.4B4.4B27.8B
15.13B$131.4B64.4B51.13B15.9B35.4B60.4B61.4B52.4B238.4B4.3B50.4B23.4B
.4B27.4B20.7B4.B21.4B220.4B15.10B2.D2BD11.D2BC4B2.A45.4B4.4B23.2A.8B
15.8B.2B$132.4B62.4B52.2B2A9B15.8B35.4B60.4B61.4B54.4B236.4B4.4B51.4B
21.4B.4B27.4B21.8B24.4B222.4B12.B.11B2.D2BD9.D2BD4B4.3A43.4B4.4B20.2B
2A9B15.8B$133.4B60.4B55.2A.8B15.8B.2B31.4B60.4B61.4B56.4B234.4B4.4B
53.4B20.3B.4B27.4B23.8B22.4B224.4B10.2A14B.D2BD7.D2BD5B6.A44.4B4.4B
19.13B15.8B$134.4B58.4B59.8B15.13B28.4B60.4B61.4B58.4B232.4B4.4B55.4B
19.2B.4B27.4B25.8B20.4B226.4B9.2A16BD2BD5BD2BD.6B51.4B4.4B17.14B15.
10B$135.4B56.4B60.8B15.13B27.4B60.4B61.4B60.3B231.4B4.4B57.4B18.B.4B
27.4B27.8B18.4B228.4B9.18BD2BD3BD2BD.7B52.4B4.4B17.4BA9B13.7B2.2A$
136.4B54.4B59.10B15.14B25.4B60.4B61.4B62.2B230.4B4.4B59.4B18.4B27.4B
29.8B16.4B230.4B8.19BD2BDBD2BD2.6B54.4B4.4B15.4BA5B2.4B11.8B2.A$137.
4B52.4B60.2A2.7B13.14B17.B7.4B60.4B61.4B64.B229.4B4.4B61.4B16.4B27.4B
31.8B14.4B232.4B11.16BD2BD2BDB.7B55.4B4.4B12.B.4B2A5B2.4B9.8B4.3A$
138.4B50.4B62.A2.8B11.4B2.10B15.2B6.4B60.4B61.4B294.4B4.4B63.4B15.3B
27.4B33.8B12.4B234.4B10.2A15BD3BD11B55.4B4.4B10.2A5BABA6B.4B7.9B6.A$
139.4B48.4B60.3A4.8B9.4B2.11B.B12.3B5.4B60.4B61.4B294.4B4.4B65.4B14.
2B27.4B35.8B10.4B236.4B6.B.B2A6B2.2B2.3BD2BD12B56.4B4.4B9.2A5B2A5B2A
15B.6B$140.4B46.4B61.A6.8BA7.4B.14B2A10.4B4.4B60.4B59.7B293.4B4.4B67.
4B13.B27.4B37.8B8.4B238.4B4.2A8B10.D2BD14B56.4B4.4B9.13BABA13B.7B$
141.4B44.4B68.6B.3BA25B2A9.4B4.4B60.4B60.7B292.4B4.4B69.4B39.4B39.8B
6.4B240.4B2.B2A6B11.D2BD15B3.B53.4B4.4B8.5BABA7BA12B2.6B$142.4B42.4B
69.7B.3A26B9.4B4.4B60.4B61.7B291.4B4.4B71.4B37.4B41.8B4.4B242.3BD2.4B
.2B11.D2BD2.15B.B2A53.4B4.4B11.BABA5B3A12B.7B$143.4B40.4B71.6B2.28B8.
4B4.4B60.4B62.7B266.B.B.B.B.B.B.B.B.B.B.B.B.5B.B.4B73.4B35.4B43.8B2.
4B244.3BD5B2.2B9.D2BD2.18B2A54.4B4.4B10.BABA29B$144.4B38.4B72.7B.24B
11.4B4.4B60.4B335.36B75.4B33.4B45.12B246.D2BDB4.B2AB7.D2BD3.12B2A3B.B
56.4B4.4B6.B.3BA5B2.2B2.19B$145.4B36.4B72.31B2A10.4B4.4B60.4B307.2C4B
23.35B25.5B47.4B31.4B47.10B92.5B151.D2BD2B3.2A7.D2BD5.11B2A2B60.4B4.
4B4.2A8B10.18B$146.4B34.4B73.19B2.2B2.6B2AB.B6.4B4.4B60.4B308.CBC3B
23.35B25.5B48.4B29.4B49.10B91.5B152.D2BD2B10.D2BD6.10B2.2B62.4B4.4B3.
2AB.4B11.19B3.B$147.4B24.4B4.4B73.18B10.8B2A4.4B4.4B60.4B310.BC3B23.
37B23.5B49.4B27.4B51.4B2D4B90.5B153.D2BD2B8.D2BD9.B.6B3.2B62.4B4.4B3.
B3.2B11.4B2.15B.B2A$148.4B22.4B4.4B70.B3.19B11.4B.B2A3.4B4.4B60.4B
312.2C2B23.37B23.5B50.4B25.4B52.9B91.5B154.D2BD2B6.D2BD14.4B2.B2AB62.
4B4.4B7.2B9.4B2.18B2A$149.4B20.4B4.4B70.2AB.15B2.4B11.2B3.B3.4B4.4B
60.4B314.3B23.B.B.B.B.B.B.B.B.B.5B.B.5B.B.B.B24.4B51.4B23.4B53.10B91.
4B155.D2BD2B4.D2BD14.B2A2B3.2A64.4B4.4B5.B2AB7.4B3.12B2A3B.B$150.4B
18.4B4.4B71.2A18B2.4B9.2B7.4B4.4B60.4B315.3B41.4B4.4B31.4B52.4B21.4B
53.4B5.3B90.4B156.D2BD3B.D2BD3B13.2A72.4B4.4B5.2A7.4B5.11B2A2B$151.4B
16.4B4.4B73.B.3B2A12B3.4B7.B2AB5.4B4.4B60.4B316.3B40.4B4.4B32.4B53.4B
19.4B53.4B6.4B89.4B157.D2BD2BD2BD92.4B4.4B12.4B6.10B2.2B$152.4B14.4B
4.4B77.2B2A11B5.4B7.2A5.4B4.4B60.4B359.4B4.4B76.4B11.4B6.A10.4B53.4B
8.4B246.B3.D2B2D2BD94.4B4.4B10.4B9.B.6B3.2B$153.4B12.4B4.4B79.2B2.10B
6.4B12.4B4.4B60.4B359.4B4.4B76.4B13.4B5.3A7.C3B53.4B10.4B243.B2.B2.BD
B2ABD9.A86.4B16.4B14.4B2.B2AB$154.4B10.4B4.4B79.2B3.6B.B9.4B10.4B4.4B
60.4B359.4B4.4B76.4B15.4B7.A5.C3B53.4B12.4B237.2A3.B.2AB2.BCABD8.3A
87.4B14.4B14.B2A2B3.2A$155.4B8.4B4.4B79.B2AB2.4B14.4B16.4B60.4B359.4B
4.4B76.4B17.4B5.2A4.D2AC53.4B14.4B237.A3.2B2A2B.2BDC2B6.A91.3BA12.4B
16.2A$156.4B6.4B4.4B81.2A3.2B2AB14.4B14.4B60.4B359.4B4.4B76.4B19.4B4.
5BD2BD53.4B16.4B236.A.AB3.11B5.2A91.B2AB10.4B$157.4B12.4B89.2A16.4B
12.4B60.4B359.4B4.4B76.4B21.4B5.2BD2BD53.4B18.4B236.2AB.8B.5B2.4B92.A
BAB8.4B$158.4B10.4B109.4B10.4B60.4B359.4B4.4B76.4B23.3BD2.3BD2BDB52.
4B20.4B237.2B2A5B4.4B.2B95.4B6.D3B$159.4B8.4B111.4B8.4B60.4B359.4B4.
4B76.4B25.3BD3BD2BD4B49.4B22.4B4.4B36.3B189.BABA5B5.7B95.3BD4.D2BD$
160.4B6.4B113.4B70.4B359.4B4.4B76.4B27.D2BDBD2BD5B48.4B24.4B4.4B35.3B
187.2B.BA7B5.6B96.D2BD2.D2BD$160.2D2BC4BD2BD.DB112.4B68.4B359.4B4.4B
76.4B29.D2BD2BD6B47.4B26.4B4.4B34.3B186.3B3.8B5.5B97.D2B2D2BD$161.2D
2BC2BD2BD4B113.4B66.4B359.4B4.4B76.4B31.D3BD5B.B2A21.B22.4B28.4B4.4B
33.3B186.3A3B.B3.4B3.8B7.A88.D4BD$162.BC2A2D2BD4B115.4B64.4B359.4B4.
4B76.4B33.DBDB2AB3.BA.A20.2B20.4B30.4B4.4B32.3B185.B3A2B6.15B5.3A88.B
D2BD2B$162.2BD4BD5B116.4B62.4B359.4B4.4B76.4B35.D2B2AB6.A20.3B18.4B
32.4B4.4B14.B16.3B184.B.3AB4.19B3.A91.2B2D3B$162.3BD2BDB.2B119.4B60.
4B359.4B4.4B76.4B18.B19.4B6.2A39.4B34.4B4.4B12.2B16.3B182.B3A.B7.2B.
6BA10B.2A89.7B2A$162.4B2D2B123.4B58.4B359.4B4.4B76.4B19.2B18.3B47.4B
36.4B4.4B10.3B17.2B181.2B3AB7.2A7BABA12B90.2B2AB.2A$162.2A7B123.4B56.
4B359.4B4.4B76.4B20.3B3.B10.AB.2B47.4B38.4B4.4B8.4B18.B181.2B3A8.2AB.
5BABA10B91.B.ABAB4.B$162.2A.B2A2B125.4B54.4B359.4B4.4B76.4B21.4B2.2B
8.A.AB2AB45.4B40.4B4.4B6.4B203.3B9.B.7BA12B89.2B.BAB$165.BABA.B125.4B
52.4B359.4B4.4B76.4B23.3B2.3B7.A.ABABAB43.4B266.2B13.18B.B87.3B2.4B$
166.BAB.2B125.4B50.4B359.4B4.4B77.3B25.2B2.4B5.2A.A.A.A2.A40.4B283.
20B86.B2A2B2.2A$164.4B2.BAB125.4B48.4B359.2A2B4.4B78.2B27.B3.4B5.A2.
2A.4A39.4B284.9BABA8B85.AB2A2B2.A$164.2A2.2BABA126.4B46.4B338.2B19.2B
2A4.4B79.B33.4B4.A4.A42.4B286.7B2AB2A6B85.A.4B4.3A$165.A2.BA3BA126.4B
44.4B339.3B17.2BAB4.4B106.B8.4B4.3A.A2.2A37.4B288.5BA3BA8B82.4B.A8.A$
162.3A4.BA2B.A126.4B42.4B338.2B2A2B12.7B4.4B107.2B8.4B5.2A3.2A36.4B
289.8BA4B2A4B80.2B2ABA$162.A8.A.2BAB125.4B40.4B339.2B2ABA12.6B5.3B
108.3B8.4B46.4B291.11B3A5B79.2B2AB$172.A3BAB125.4B38.4B341.4B.A11.BD
3B6.2B109.4B56.4B293.4BA2B5A6B81.3B$173.ABA2B126.4B36.4B343.BA.4B9.4B
7.B111.4B54.4B295.9BA7B81.2B$173.BAB129.4B34.4B346.AB2A2B7.5B120.4B4.
4B44.4B296.10BA7B$174.2B130.4B32.4B348.B2A3B.B2.7B121.4B50.4B58.4B
236.7BAB2A5B$307.4B30.4B349.3B3.11B122.4B48.4B58.4B238.4BA2B2A7B$308.
4B28.4B351.2B.BA11B2.B108.16B46.4B58.4B240.3B4A8B.BA$309.4B26.4B354.B
ABA9BD2.2B108.16B44.ABAB58.4B241.5BA10BA.A$310.4B24.4B355.2B2A4BD5B2.
2B109.16B42.B2AB58.4B243.13B.2BA$311.4B22.4B354.2AB.6BD3BDB2.2B110.
16B40.3BA58.4B245.11B3.B$312.4B20.4B354.A.AB3.9BD2.2B119.8B38.4B58.4B
246.7B$313.4B18.4B355.A5.2A2B.6B2.2B120.8B36.4B58.4B247.8B.2B$314.4B
16.4B355.2A5.2A3.6B2.2B121.8B34.4B58.4B248.5B2A3B2A$315.4B14.2A2B368.
B.4B2.2B122.8B32.4B58.4B249.5B2A3B2A$316.4B12.2B2A372.8B121.4B.4B30.
4B58.4B250.9B.B$317.4B10.2BAB374.8B120.4B2.4B28.4B58.4B250.9B$318.4B
8.4B376.8B3.B115.4B3.4B4.4B18.4B58.4B249.A.2AB.3B$319.3BD6.4B378.8B2.
2B114.4B4.4B4.4B16.4B58.4B248.3AB2AB.5B$320.D2BD4.D3B380.8B.3B113.5B
4.4B4.4B14.4B58.4B248.A4.B6.2A$321.D2BD2.D2BD382.12B112.6B4.4B4.4B12.
4B58.4B250.3A.2A5.A$322.D2B2D2BD384.12B111.7B4.B21.4B58.4B253.2A2.A5.
3A$323.D4BD386.12B110.8B24.4B58.4B257.2A7.A$322.2BD2BDB387.12B110.8B
22.4B58.4B$322.3B2D2B388.11B111.8B20.4B58.4B$321.2A7B388.8B114.8B18.
4B58.4B$321.2A.B2A2B390.8B114.8B16.4B58.4B$319.B4.BABA.B390.8B114.8B
14.4B58.4B$325.BAB.2A390.8B114.8B12.4B58.4B$323.4B2.3B390.8B114.8B10.
4B58.4B$323.2A2.A3BA391.8B114.8B8.4B58.4B$324.A2.A4BA391.8B114.8B6.4B
58.4B$321.3A4.BABA.A391.8B114.8B4.4B58.4B$321.A8.A.ABAB390.8B114.8B2.
4B58.4B$331.A4BA381.B8.8B114.12B58.4B$332.A3BA391.8B114.10B58.4B$332.
3B378.4B12.8B114.10B56.4B$333.2A379.4B12.8B114.4B2D4B54.4B$715.4B12.
8B113.9B54.4B$716.4B12.8B112.10B52.4B$717.4B12.8B110.4B5.3B50.4B$734.
8B108.4B6.4B48.4B$735.8B106.4B8.4B46.4B$736.7B60.B44.4B10.4B44.4B$
737.6B60.2B42.4B12.4B42.4B$738.5B59.4B40.4B14.4B40.4B$739.4B60.4B38.
4B16.4B38.4B$740.4B60.4B36.4B18.4B36.4B$741.4B60.4B3.B30.4B20.4B34.4B
$742.4B60.4B2.2B28.4B22.4B4.4B24.4B$743.4B60.4B.3B26.4B24.4B4.4B22.4B
$744.4B60.8B24.4B26.4B4.4B20.4B$745.4B60.8B22.4B28.4B4.4B18.4B$746.4B
60.8B20.4B30.4B4.4B16.4B$747.4B60.8B18.4B32.4B4.4B14.4B$748.4B84.4B
34.4B4.4B12.4B$749.4B82.4B36.4B4.4B10.4B$750.4B80.4B38.4B4.4B8.4B$
751.4B78.4B40.4B4.4B6.4B$752.4B76.4B$753.4B74.4B$754.B3A72.4B$755.A3B
70.4B$756.A3B68.4B$757.4B66.4B$758.4B64.4B$759.8B58.4B$760.8B56.4B$
761.8B54.4B$762.8B52.4B$763.8B50.4B$764.8B48.4B$765.8B46.ABAB$766.8B
44.B2AB$767.8B42.3BA$768.8B40.4B$769.8B38.4B$770.8B36.4B$771.8B34.4B$
772.8B32.4B$773.8B30.4B$774.8B28.4B$775.8B26.4B$776.8B24.4B$777.8B22.
4B$778.8B20.4B$779.8B18.4B$780.8B16.4B$781.8B14.4B$782.8B12.4B$783.8B
10.4B$784.8B8.4B$785.8B6.4B$786.8B4.4B$787.8B2.4B$788.4B4.4B$780.B8.
4B2.4B$780.2B8.8B$780.3B8.8B$780.3B8.7B$780.3B8.7B$780.3B7.7B2A$780.
3B6.4B2AB.2A$780.4B4.4BABAB$781.4B2.4B.BAB$781.8BAB2.4B$781.7B3A2B2.
2A$784.3BAB3AB2.A$783.3BA.2BAB4.3A$782.3BA2B.A8.A$781.3B3ABA$781.4B3A
B$781.2B2.BAB$781.B3.2B6$772.B$771.2B$770.3B$769.4B$768.4B$767.4B4$
763.4B$763.3B$763.2B$763.B!

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Hdjensofjfnen
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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » August 5th, 2018, 2:56 pm

Coincidental pulsar:

Code: Select all

x = 9, y = 9, rule = B3/S23
3o3b3o$o2bobo2bo$o3bo3bo$bo5bo$2bo3bo$bo5bo$o3bo3bo$o2bobo2bo$3o3b3o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

mniemiec
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Re: Thread For Your Useless Discoveries

Post by mniemiec » August 5th, 2018, 4:27 pm

Hdjensofjfnen wrote:Coincidental pulsar:

Code: Select all

x = 9, y = 9, rule = B3/S23
3o3b3o$o2bobo2bo$o3bo3bo$bo5bo$2bo3bo$bo5bo$o3bo3bo$o2bobo2bo$3o3b3o!
It's even more interesting if you compare generations 2 and 8!

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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » August 5th, 2018, 6:24 pm

mniemiec wrote: It's even more interesting if you compare generations 2 and 8!
Yes, the outer blinkers are pushed outward one more cell. That was one of the first things I discovered about pulsars :wink:

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » August 6th, 2018, 8:23 pm

Can this be stabilized?

Code: Select all

x = 3, y = 7, rule = LifeHistory
.D$DCD$3A2$3D$CAC$A.A!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Thread For Your Useless Discoveries

Post by mniemiec » August 6th, 2018, 11:48 pm

Hdjensofjfnen wrote:Can this be stabilized? ...
Not easily. The offending cell is in the very middle, and difficult to get to. Almost-working mechanisms that are easily to stabilize typically have offending cells on the edges, where other mechanisms can spark or otherwise hassle them.

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Re: Thread For Your Useless Discoveries

Post by wildmyron » August 7th, 2018, 12:13 am

Hdjensofjfnen wrote:Can this be stabilized?

Code: Select all

x = 3, y = 7, rule = LifeHistory
.D$DCD$3A2$3D$CAC$A.A!
Not in this form, no. First off, stabilized generally means supported to make an oscillator / still life containing the desired pattern. The only way your pattern can be supported is by making it a tagalong to a c/2 spaceship. At p2 it is impossible to have the precise configuration of cells shown, but it is possible to have the rear part act as a tagalong.

When faced with questions of this type, the go to place is jslife - look through the files in the velocity-c/2 section. I didn't find anything there which matches this. So the next thing to do is set up a search in JLS or WLS. Start by setting up a narrow c/2 search with bilateral symmetry and sort from the rear to the front. Then set the cells to match the desired pattern at the rear of the ship. These reverse ship searches are generally much slower than their "search from the front" counterparts, but for p/2 it's doable. You probably won't get a result at first, but the trick is to identify likely looking partials while observing the search progress, set additional cells to match the promising partial, widen the search a bit and try again. With experience you'll be able to identify known parts and be able to match them up to a partial result, or eventually you will get a result from the search when it's wide enough.

Here's the result I got from applying this process to your pattern:

Code: Select all

x = 45, y = 42, rule = B3/S23
7b3o25b3o$6bo2b5o17b5o2bo$5bo3bobob2o15b2obobo3bo$5bo6bo19bo6bo$7bo6bo
bo11bobo6bo$4bobo6b2ob2o9b2ob2o6bobo$3b2obob2o3b2obobo7bobob2o3b2obob
2o$2bobobob2o6bob2o5b2obo6b2obobobo$b2o3bo2bo3b2obo3bo3bo3bob2o3bo2bo
3b2o$o3bobo2b2o4b2o11b2o4b2o2bobo3bo$3bo11bobob2o3b2obobo11bo$2o14b2o
9b2o14b2o$14b4o2bo3bo2b4o$18bobo3bobo$14b2o2bo7bo2b2o$14bo15bo$13bobo
13bobo$17bo4bo4bo$17b2ob2ob2ob2o$15b4o7b4o$14b2o2b2obobob2o2b2o$13bo
17bo$16b2o2bo3bo2b2o$13b2o5bo3bo5b2o$18bo7bo$19bo5bo$16b2obob3obob2o$
16b2obob3obob2o$16bo4bobo4bo$15b2o11b2o$15bo13bo$15b15o$14b2o2b3obob3o
2b2o$22bo$14b2o13b2o$16bob2o5b2obo$16bo3b5o3bo$18b2ob3ob2o3$21b3o$21bo
bo!
When you find yourself faced with similar questions in the future, I encourage you to apply this method before you post, and even if unsuccessful you can share your progress along with the problem. This makes it seem like you care about finding an answer to the problem rather than just hoping someone will do the work for you.
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

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Re: Thread For Your Useless Discoveries

Post by AforAmpere » August 11th, 2018, 6:05 pm

A fuse that travels at C/4 no matter what slope:

Code: Select all

x = 95, y = 58, rule = B3/S23
12$14b2o$15b2o$14bo76b2o$82b2o7b2o$73b2o7b2o$64b2o7b2o$55b2o7b2o$46b2o
7b2o$37b2o7b2o43b2o$28b2o7b2o43b2o7b2o$19b2o7b2o43b2o7b2o$19b2o43b2o7b
2o$55b2o7b2o$46b2o7b2o$37b2o7b2o$28b2o7b2o$14b2o3b2o7b2o$15b2o2b2o$14b
o15$19b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o$19b2o6b2o6b2o6b2o6b2o6b2o6b
2o6b2o6b2o5$14b2o3b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o$15b2o2b2o6b2o6b
2o6b2o6b2o6b2o6b2o6b2o6b2o$14bo!
Maybe this could be used as a one-use signal for transporting gliders?
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » August 16th, 2018, 9:35 pm

Code: Select all

x = 9, y = 15, rule = B3/S23
bo5bo$b3ob3o$bobobobo$3bobo8$o7bo$3o3b3o$obo3bobo$2bo3bo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Thread For Your Useless Discoveries

Post by Hdjensofjfnen » August 20th, 2018, 10:01 pm

Eater flipper, anyone?

Code: Select all

x = 4, y = 11, rule = LifeHistory
C$3C$3.C$2.2C5$3C$2.C$.C!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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KittyTac
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Re: Thread For Your Useless Discoveries

Post by KittyTac » August 21st, 2018, 10:51 am

Hdjensofjfnen wrote:Eater flipper, anyone?

Code: Select all

x = 4, y = 11, rule = LifeHistory
C$3C$3.C$2.2C5$3C$2.C$.C!
Gustavo would really like to be friends with you.

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Re: Thread For Your Useless Discoveries

Post by dani » August 21st, 2018, 11:21 am

KittyTac wrote: Gustavo would really like to be friends with you.
Pardon me but how is that Gustavo-esque? It's a very small and potentially usable reaction that I've never seen before.

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Re: Thread For Your Useless Discoveries

Post by KittyTac » August 21st, 2018, 11:28 am

danny wrote:
KittyTac wrote: Gustavo would really like to be friends with you.
Pardon me but how is that Gustavo-esque? It's a very small and potentially usable reaction that I've never seen before.
It's extremely dirty.

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Re: Thread For Your Useless Discoveries

Post by mniemiec » August 21st, 2018, 4:12 pm

Hdjensofjfnen wrote:Eater flipper, anyone?
danny wrote:Pardon me but how is that Gustavo-esque? It's a very small and potentially usable reaction that I've never seen before.
All collisions of a single glider into most small objects have been well known for decades, as well as most 3-glider collisions (in particular, a single glider into every object that can be formed from two gliders).

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