Thread For Your Useless Discoveries

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

Post by M. I. Wright » July 19th, 2015, 6:20 pm

gmc_nxtman wrote:Useless crystal
Another:

Code: Select all

x = 259, y = 266, rule = B3/S23
23bo2bo$21b6o$17b2obo8bo$13b2o3bobob8o2bo$11b3obobo2bobo3bo3b3o$10bo4b
o4bo3b2o2b2o$11b6obob4obobo3b2o$12bo3b3o5bob3o3bo4b2obo$10bo3b2o3bob2o
2b6o5bob2obo$10b5ob4obo7b2o5bo4bo$15bo5bo11b2obob2ob2o$12b2o4b3o4bobob
o3bobobobobo$11bo2bo3bo7bo3bo4bobobobo$12bo4bo5b2obo7bobo4b2o$2ob2o8bo
bo7b2ob4obo3bob2obo$bobo6bo4b2ob2o2b2o2b2o2bo4bob2obo$o2bob2ob2obo3b5o
2b2o9b3o3bo$3o2bobo3bo6bo5bo8b3o$29bo2b2o$2b2o4b2obo16bobob3o$bob4o4b
2o14bo3b3o$b2o9bo4bo10bobo2b3o$9bo2bo5bo10bo3b3o3bo$b2o9bo4b3o4bo10bob
2obo$bob4o4b2o5bo3bobo10bob2obo$2b2o4b2obo5bo5b2o9bobo4b2o$35bobobobo$
3o2bobo3bo21bobobobobo$o2bob2ob2obo9b2o10b2obob2ob2o$bobo6bo10bo8bo5bo
4bo$2ob2o17b3o3bobo5bob2obo$24bo4b2o6b2obo232$258bo$258bo$258bo!
I didn't find this, but I'm not sure where/who I got it from.
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gmc_nxtman
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Re: Thread For Your Useless Discoveries

Post by gmc_nxtman » July 19th, 2015, 6:58 pm

A slight variant of your crystal with p23 streams:

Code: Select all

x = 119, y = 112, rule = B3/S23
116bobo$116b2o$117bo3$111bo$110bo$110b3o4$106bo$104b2o$105b2o4$99bo$
99bobo$99b2o4$93bobo$93b2o$94bo3$88bo$87bo$87b3o4$83bo$81b2o$82b2o4$
76bo$76bobo$76b2o4$70bobo$70b2o$71bo3$65bo$64bo$64b3o4$60bo$58b2o$59b
2o4$53bo$53bobo$53b2o4$47bobo$47b2o$48bo3$42bo$41bo$41b3o4$37bo$35b2o$
36b2o4$30bo$30bobo$30b2o4$24bobo$24b2o$25bo3$19bo$18bo$18b3o4$14bo$12b
2o$13b2o4$7bo$7bobo$3o4b2o!
A beacon boat-bit.... but with a twist!

Code: Select all

x = 16, y = 16, rule = B3/S23
6bo$4bobo$5b2o2$bo$2bo$3o$9b2o$9b2o$7b2o$7b2o4b3o$13bo$14bo$10b2o$10bo
bo$10bo!
And as somebody posted a pseudo-teadrop, here's a pseudo-butterfly for completeness:

Code: Select all

x = 38, y = 17, rule = B3/S23
8bo$6bobo$7b2o4$bo$2bo$3o7b2o$10b2o24b2o$8b2o27bo$8b2o4b3o17bo2bo$14bo
19b3o$15bo$11b2o$11bobo$11bo!
Also a close near miss for an agar:

Code: Select all

x = 50, y = 44, rule = B3/S23
27bo$27b2o$26b2o4b2o$31b2o$32bo$19bo$19b2o$18b2o4b2o$23b2o8bo$24bo8b2o
$10bo21b2o4b2o$10b2o25b2o$9b2o4b2o21bo$14b2o8bo$15bo8b2o$bo21b2o4b2o$b
2o25b2o8bo$2o4b2o21bo8b2o$5b2o8bo21b2o4b2o$6bo8b2o25b2o$14b2o4b2o21bo$
19b2o8bo$20bo8b2o$6bo21b2o4b2o$6b2o25b2o8bo$5b2o4b2o21bo8b2o$10b2o8bo
21b2o4b2o$11bo8b2o25b2o$19b2o4b2o21bo$24b2o8bo$25bo8b2o$11bo21b2o4b2o$
11b2o25b2o$10b2o4b2o21bo$15b2o8bo$16bo8b2o$24b2o4b2o$29b2o$30bo$16bo$
16b2o$15b2o4bo$20b2o$21b2o!
Other agars I found

Code: Select all

x = 3, y = 3, rule = Life:T4,4
2o$2bo$2bo!

Code: Select all

x = 5, y = 2, rule = Life:T5,5
4o$4bo!

Code: Select all

x = 3, y = 4, rule = Life:T5,6
3o$bo$bo$3o!

Code: Select all

x = 2, y = 3, rule = Life:T4,6
2o$bo$2o!

Code: Select all

x = 6, y = 6, rule = Life:T6,6
o3b2o2$o3b2o$bobo$bobo$bobo!
Some other weird things:

Code: Select all

x = 12, y = 11, rule = B3/S23
bo$2bo7b2o$3o6bobo$9bo$7b3o$6bo$7b3o$9bo$3o6bobo$2bo7b2o$bo!

Code: Select all

x = 17, y = 11, rule = B3/S23
4bo$5bo$o4bo6b2ob2o$b5o6b2ob2o4$b5o6b2ob2o$o4bo6b2ob2o$5bo$4bo!

Code: Select all

x = 19, y = 11, rule = B3/S23
5bo$6bo10bo$o5bo6b2obobo$b6o6b2obobo$17bo2$17bo$b6o6b2obobo$o5bo6b2obo
bo$6bo10bo$5bo!

Code: Select all

x = 11, y = 11, rule = B3/S23
bo$2bo$3o5bo$7bobo$5b3obo$4bo4b2o$5b3obo$7bobo$3o5bo$2bo$bo!

Code: Select all

x = 9, y = 11, rule = B3/S23
bo5bo$obo3bobo$bobobobo$2bo3bo5$3b3o$3bobo$3bobo!
Useless eater2 variant predecessor:

Code: Select all

x = 14, y = 14, rule = B3/S23
10bo$8bo$8bo$8bo$9b2o2$7b2o$6bo2bob3o$b3o2bobo2bo$4bo2bo3b3o$o3bo$7b3o
$7bobo$7bobo!
Another:

Code: Select all

x = 10, y = 10, rule = B3/S23
3o$2o4b2o$o5b2o$6b2o$6bo$5bo2bo$b4obob2o$b3o4b2o$5b3o$6b2o!
An eater4-producing reaction/predecessor:

Code: Select all

x = 14, y = 14, rule = B3/S23
11bo$10b2o2$6bobob4o$7b4o2bo2$3bo$4bo$3b2o$4bo$bob2o$2obo$3bo$3b2o!
Another more natural/useful one:

Code: Select all

x = 18, y = 18, rule = B3/S23
12bobo$2b2o2bo2b2o5bo$bobo6bo6bo$b2o7b2o4b2o$10b2obo2b2o$11bobo$bo9b2o
3b2o$12b2o$12b2o$bo7b2o$b4o4b2o$3b4o5bobo$o5b3o2bo2b4o$4b2ob2o7b2o$o
10b2o3b2o$12bo$bob2obo5b3o$2b3obo5b3o!
Also, as a sidenote, the eater2 page and a possible few others have weird comments.
Last edited by gmc_nxtman on July 25th, 2015, 8:52 pm, edited 2 times in total.

towerator
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Re: Thread For Your Useless Discoveries

Post by towerator » July 25th, 2015, 8:29 pm

Most. Useless. Discovery. Ever.
If you draw a diagonal 3-pixel line between 2 loaves, they both flip. It is similar to the "block in a flottilla" reaction: it's only use is to waste your time doing it again (and again)^n, where n is your boredom coefficient.

Code: Select all

x = 10, y = 10, rule = B3/S23
b2o$o2bo$bobo$2bo$3bo$4bo$5bob2o$6bo2bo$7bobo$8bo!
This is game of life, this is game of life!
Loafin' ships eaten with a knife!

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BlinkerSpawn
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Re: Thread For Your Useless Discoveries

Post by BlinkerSpawn » July 26th, 2015, 10:06 am

gmc_nxtman wrote:Another more natural/useful (eater4 predecessor):

Code: Select all

x = 18, y = 18, rule = B3/S23
12bobo$2b2o2bo2b2o5bo$bobo6bo6bo$b2o7b2o4b2o$10b2obo2b2o$11bobo$bo9b2o
3b2o$12b2o$12b2o$bo7b2o$b4o4b2o$3b4o5bobo$o5b3o2bo2b4o$4b2ob2o7b2o$o
10b2o3b2o$12bo$bob2obo5b3o$2b3obo5b3o!
Leads to a 20G synthesis.

Code: Select all

x = 124, y = 124, rule = LifeHistory
122.A$112.A.A6.A$112.2A7.3A$113.A38$45.A$46.2A$45.2A$71.A$71.A.A$71.
2A2$51.A$51.A.A$51.2A2$44.A$45.A9.A$43.3A7.2A$54.2A3$78.A$77.A$77.3A
2$46.A.A$47.2A$47.A2$49.3A$51.A$50.A7.2A$59.2A$58.A2$63.A6.A$62.2A6.A
.A6.A$62.A.A5.2A6.A$78.3A$60.A13.3A$60.2A12.A$59.A.A13.A5$53.2A$52.A.
A$54.A26$107.2A$.2A104.A.A$2.2A103.A$.A7$.2A$A.A$2.A!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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gmc_nxtman
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Re: Thread For Your Useless Discoveries

Post by gmc_nxtman » July 26th, 2015, 10:28 am

BlinkerSpawn wrote:
gmc_nxtman wrote:Another more natural/useful (eater4 predecessor):

Code: Select all

x = 18, y = 18, rule = B3/S23
12bobo$2b2o2bo2b2o5bo$bobo6bo6bo$b2o7b2o4b2o$10b2obo2b2o$11bobo$bo9b2o
3b2o$12b2o$12b2o$bo7b2o$b4o4b2o$3b4o5bobo$o5b3o2bo2b4o$4b2ob2o7b2o$o
10b2o3b2o$12bo$bob2obo5b3o$2b3obo5b3o!
Leads to a 20G synthesis.

Code: Select all

x = 124, y = 124, rule = LifeHistory
122.A$112.A.A6.A$112.2A7.3A$113.A38$45.A$46.2A$45.2A$71.A$71.A.A$71.
2A2$51.A$51.A.A$51.2A2$44.A$45.A9.A$43.3A7.2A$54.2A3$78.A$77.A$77.3A
2$46.A.A$47.2A$47.A2$49.3A$51.A$50.A7.2A$59.2A$58.A2$63.A6.A$62.2A6.A
.A6.A$62.A.A5.2A6.A$78.3A$60.A13.3A$60.2A12.A$59.A.A13.A5$53.2A$52.A.
A$54.A26$107.2A$.2A104.A.A$2.2A103.A$.A7$.2A$A.A$2.A!
Wow! Let's add it to the wiki!

Here is some useless predecessor to pond in a bottle:

Code: Select all

x = 14, y = 14, rule = B3/S23
2bobo4bobo$4bo4bo$ob2obo2bob2obo$2bo8bo$2o4b2o4b2o$2bo8bo$4bob2obo$4bo
b2obo$2bo8bo$2o4b2o4b2o$2bo8bo$ob2obo2bob2obo$4bo4bo$2bobo4bobo!
Also for that unnamed p6:

Code: Select all

x = 34, y = 34, rule = B3/S23
8b3o12b3o$8bo2bo10bo2bo$3b2o4b3o10b3o4b2o$2bobo24bobo$2b2o26b2o4$2o30b
2o$obo28bobo$obo28bobo$b2o28b2o2$13b2o4b2o$13b2o4b2o2$16b2o$16b2o2$13b
2o4b2o$13b2o4b2o2$b2o28b2o$obo28bobo$obo28bobo$2o30b2o4$2b2o26b2o$2bob
o24bobo$3b2o4b3o10b3o4b2o$8bo2bo10bo2bo$8b3o12b3o!
Octagon 4:

Code: Select all

x = 32, y = 32, rule = B3/S23
6b2o16b2o$5bobo16bobo$5bobo16bobo$5b2o18b2o2$b3o5b2o10b2o5b3o$o2bo4bo
2bo8bo2bo4bo2bo$3o5bobo10bobo5b3o$6b2obo12bob2o$5bo2bo14bo2bo$5bobo16b
obo$6bo18bo9$6bo18bo$5bobo16bobo$5bo2bo14bo2bo$6b2obo12bob2o$3o5bobo
10bobo5b3o$o2bo4bo2bo8bo2bo4bo2bo$b3o5b2o10b2o5b3o2$5b2o18b2o$5bobo16b
obo$5bobo16bobo$6b2o16b2o!

Code: Select all

x = 26, y = 30, rule = B3/S23
10bo4bo$10bo4bo$10b6o$10bo4bo$12b2o2$10bo4bo$10bo4bo$9bo6bo$8bobo4bobo
$4o2b2obo6bob2o2b4o$2bo20bo$2bobo7b2o7bobo$2bobo7b2o7bobo$2bo20bo$4o2b
2obo6bob2o2b4o$8bobo4bobo$9bo6bo$10bo4bo$10bo4bo2$12b2o$10bo4bo$10b6o$
10bo4bo$10bo4bo4$4b2o14b2o!
Keys variant:

Code: Select all

x = 8, y = 14, rule = B3/S23
5bo$5bo$5bo2$7bo$b2o3bo$o2bobo$o2bobo$b2o3bo$7bo2$5bo$5bo$5bo!

mniemiec
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Re: Thread For Your Useless Discoveries

Post by mniemiec » July 26th, 2015, 10:36 pm

gmc_nxtman wrote:Also for that unnamed p6:
Very nice! I'm currently updating my database with recently-posted syntheses (especially for objects that had not been synthesized previously). I will add this to the list; it doesn't look like putting it together should be all that difficult.
gmc_nxtman wrote:Octagon 4:
Nice. The current synthesis takes 34 gliders. This one would take 32, if you could make each LOM from 2 gliders. Unfortunately, the LOM orientation is wrong, so this would likely cost around 40 at least.
gmc_nxtman wrote:Keys variant:
Yes, this is basically how this object is synthesized: http://codercontest.com/mniemiec/18/18spsp1.rle

Unfortunately, the same trick doesn't work for the trans version.

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Extrementhusiast
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Re: Thread For Your Useless Discoveries

Post by Extrementhusiast » July 27th, 2015, 2:44 pm

In reference to that unnamed P6, I personally like to call it the orbital, as one phase of it looks very similar to the stereotypical picture of an atom, even including the nucleus!

Code: Select all

....##....##....
...#..#..#..#...
...#...##...#...
.##...#..#...##.
#....#....#....#
#...#......#...#
.#.#........#.#.
..#....##....#..
..#....##....#..
.#.#........#.#.
#...#......#...#
#....#....#....#
.##...#..#...##.
...#...##...#...
...#..#..#..#...
....##....##....
Image
gmc_nxtman wrote:Also a close near miss for an agar:

Code: Select all

RLE
No, it's a perfectly viable agar; you just assembled it wrong:

Code: Select all

x = 288, y = 285, rule = B3/S23
181bo$181b2o$180b2o4b2o$185b2o$186bo$172bo$172b2o$171b2o4b2o$176b2o$
177bo8bo$163bo22b2o$163b2o20b2o4b2o$162b2o4b2o20b2o$167b2o22bo$168bo8b
o$154bo22b2o$154b2o20b2o4b2o$153b2o4b2o20b2o$158b2o22bo8bo$159bo8bo22b
2o$145bo22b2o20b2o4b2o$145b2o20b2o4b2o20b2o$144b2o4b2o20b2o22bo$149b2o
22bo8bo$150bo8bo22b2o$136bo22b2o20b2o4b2o$136b2o20b2o4b2o20b2o$135b2o
4b2o20b2o22bo8bo$140b2o22bo8bo22b2o$141bo8bo22b2o20b2o4b2o$127bo22b2o
20b2o4b2o20b2o$127b2o20b2o4b2o20b2o22bo$126b2o4b2o20b2o22bo8bo$131b2o
22bo8bo22b2o$132bo8bo22b2o20b2o4b2o$118bo22b2o20b2o4b2o20b2o$118b2o20b
2o4b2o20b2o22bo8bo$117b2o4b2o20b2o22bo8bo22b2o$122b2o22bo8bo22b2o20b2o
4b2o$123bo8bo22b2o20b2o4b2o20b2o$109bo22b2o20b2o4b2o20b2o22bo$109b2o
20b2o4b2o20b2o22bo8bo$108b2o4b2o20b2o22bo8bo22b2o$113b2o22bo8bo22b2o
20b2o4b2o$114bo8bo22b2o20b2o4b2o20b2o$100bo22b2o20b2o4b2o20b2o22bo8bo$
100b2o20b2o4b2o20b2o22bo8bo22b2o$99b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$
104b2o22bo8bo22b2o20b2o4b2o20b2o$105bo8bo22b2o20b2o4b2o20b2o22bo$91bo
22b2o20b2o4b2o20b2o22bo8bo$91b2o20b2o4b2o20b2o22bo8bo22b2o$90b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o$95b2o22bo8bo22b2o20b2o4b2o20b2o$96bo8bo22b
2o20b2o4b2o20b2o22bo8bo$82bo22b2o20b2o4b2o20b2o22bo8bo22b2o$82b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o$81b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b
2o$86b2o22bo8bo22b2o20b2o4b2o20b2o22bo$87bo8bo22b2o20b2o4b2o20b2o22bo
8bo$73bo22b2o20b2o4b2o20b2o22bo8bo22b2o$73b2o20b2o4b2o20b2o22bo8bo22b
2o20b2o4b2o$72b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$77b2o22bo8bo22b2o
20b2o4b2o20b2o22bo8bo$78bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$64bo22b2o
20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$64b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o$63b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo$68b2o22bo8bo
22b2o20b2o4b2o20b2o22bo8bo$69bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$55bo
22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$55b2o20b2o4b2o20b2o22bo8bo22b
2o20b2o4b2o20b2o$54b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$59b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$60bo8bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o$46bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$
46b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo$45b2o4b2o20b2o22bo8b
o22b2o20b2o4b2o20b2o22bo8bo$50b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$51bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$37bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$37b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$36b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$
41b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$42bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$28bo22b2o20b2o4b2o20b2o22bo8bo22b
2o20b2o4b2o20b2o22bo$28b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo
8bo$27b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$32b2o22bo8bo
22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$33bo8bo22b2o20b2o4b2o20b2o22b
o8bo22b2o20b2o4b2o20b2o$19bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo$19b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o
$18b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$23b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$24bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo$10bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo8bo$10b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b
2o22bo8bo22b2o$9b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o$14b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$15bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$bo22b2o20b2o4b
2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$2o4b2o20b2o22bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$5b2o22bo8bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo$6bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o
4b2o20b2o22bo8bo$15b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o$14b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$
19b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$20bo8bo22b2o
20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$6bo22b2o20b2o4b2o20b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$6b2o20b2o4b2o20b2o22bo8bo22b2o
20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$5b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$10b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$11bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$20b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$19b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$24b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$25bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$11bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$11b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o20b2o4b2o$10b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$15b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$16bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$25b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$24b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$29b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$30bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$16bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$16b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o20b2o4b2o$15b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$21bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$30b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$29b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$34b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$35bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$21bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$21b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o20b2o4b2o$20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$25b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$26bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$35b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$34b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$39b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$40bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$26bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$26b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o20b2o4b2o$25b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$30b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$31bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$40b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$39b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$44b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$45bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$31bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$31b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o20b2o4b2o$30b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$35b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$36bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$45b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$44b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$49b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$50bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$36bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$36b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o20b2o4b2o$35b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$40b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$41bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$50b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$49b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$54b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$55bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$41bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$41b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o20b2o4b2o$40b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$45b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$46bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$55b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$54b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$59b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$60bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$46bo22b2o20b2o4b2o20b2o22bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$46b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o20b2o4b2o$45b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o20b2o4b2o20b2o$50b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$51bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo$60b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$59b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$64b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$65bo8bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo$51bo22b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo8bo$51b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b
2o22bo8bo22b2o$50b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o$55b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$56bo
8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo$65b2o20b2o4b2o20b
2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$64b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o20b2o22bo8bo22b2o$69b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b
2o$70bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$56bo22b2o20b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo$56b2o20b2o4b2o20b2o22bo8bo22b
2o20b2o4b2o20b2o22bo8bo$55b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8b
o22b2o$60b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$61bo8bo22b
2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$70b2o20b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o20b2o22bo$69b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo8b
o$74b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o$75bo8bo22b2o20b2o4b2o20b
2o22bo8bo22b2o20b2o4b2o$61bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o$61b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o22bo$60b2o4b2o20b2o
22bo8bo22b2o20b2o4b2o20b2o22bo8bo$65b2o22bo8bo22b2o20b2o4b2o20b2o22bo
8bo22b2o$66bo8bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$75b2o20b2o4b
2o20b2o22bo8bo22b2o20b2o4b2o20b2o$74b2o4b2o20b2o22bo8bo22b2o20b2o4b2o
20b2o22bo$79b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$80bo8bo22b2o20b2o4b2o
20b2o22bo8bo22b2o$66bo22b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$66b2o
20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$65b2o4b2o20b2o22bo8bo22b2o20b
2o4b2o20b2o22bo$70b2o22bo8bo22b2o20b2o4b2o20b2o22bo8bo$71bo8bo22b2o20b
2o4b2o20b2o22bo8bo22b2o$80b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$79b2o
4b2o20b2o22bo8bo22b2o20b2o4b2o20b2o$84b2o22bo8bo22b2o20b2o4b2o20b2o22b
o$85bo8bo22b2o20b2o4b2o20b2o22bo8bo$71bo22b2o20b2o4b2o20b2o22bo8bo22b
2o$71b2o20b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$70b2o4b2o20b2o22bo8bo22b2o
20b2o4b2o20b2o$75b2o22bo8bo22b2o20b2o4b2o20b2o22bo$76bo8bo22b2o20b2o4b
2o20b2o22bo8bo$85b2o20b2o4b2o20b2o22bo8bo22b2o$84b2o4b2o20b2o22bo8bo
22b2o20b2o4b2o$89b2o22bo8bo22b2o20b2o4b2o20b2o$90bo8bo22b2o20b2o4b2o
20b2o22bo$76bo22b2o20b2o4b2o20b2o22bo8bo$76b2o20b2o4b2o20b2o22bo8bo22b
2o$75b2o4b2o20b2o22bo8bo22b2o20b2o4b2o$80b2o22bo8bo22b2o20b2o4b2o20b2o
$81bo8bo22b2o20b2o4b2o20b2o22bo$90b2o20b2o4b2o20b2o22bo8bo$89b2o4b2o
20b2o22bo8bo22b2o$94b2o22bo8bo22b2o20b2o4b2o$95bo8bo22b2o20b2o4b2o20b
2o$81bo22b2o20b2o4b2o20b2o22bo$81b2o20b2o4b2o20b2o22bo8bo$80b2o4b2o20b
2o22bo8bo22b2o$85b2o22bo8bo22b2o20b2o4b2o$86bo8bo22b2o20b2o4b2o20b2o$
95b2o20b2o4b2o20b2o22bo$94b2o4b2o20b2o22bo8bo$99b2o22bo8bo22b2o$100bo
8bo22b2o20b2o4b2o$86bo22b2o20b2o4b2o20b2o$86b2o20b2o4b2o20b2o22bo$85b
2o4b2o20b2o22bo8bo$90b2o22bo8bo22b2o$91bo8bo22b2o20b2o4b2o$100b2o20b2o
4b2o20b2o$99b2o4b2o20b2o22bo$104b2o22bo8bo$105bo8bo22b2o$91bo22b2o20b
2o4b2o$91b2o20b2o4b2o20b2o$90b2o4b2o20b2o22bo$95b2o22bo8bo$96bo8bo22b
2o$105b2o20b2o4b2o$104b2o4b2o20b2o$109b2o22bo$110bo8bo$96bo22b2o$96b2o
20b2o4b2o$95b2o4b2o20b2o$100b2o22bo$101bo8bo$110b2o$109b2o4b2o$114b2o$
115bo$101bo$101b2o$100b2o4b2o$105b2o$106bo!
I Like My Heisenburps! (and others)

mniemiec
Posts: 1113
Joined: June 1st, 2013, 12:00 am

Re: Thread For Your Useless Discoveries

Post by mniemiec » July 27th, 2015, 10:59 pm

BlinkerSpawn wrote:
gmc_nxtman wrote:Another more natural/useful (eater4 predecessor): ...
Leads to a 20G synthesis. ...
Each pair of debris blocks can be eliminated by a single glider before it forms, reducing this to 18 gliders:

Code: Select all

x = 162, y = 127, rule = B3/S23
110bo$110bobo$110boo$151b3o$109bo12bo$110bo3bo7bobo24bo5bo$108b3oboo8b
oobboo16boo3bo5bo$113boo11bobo14bobo3bo5bo$126bo16boo$151b3o$53bo$54b
oo$53boo87b3o$49boo41boo28boo28boo$50boo6bo34bo29bo16bo5bo6bo$49bo8boo
30bo20b3o6bo19bo5bo3bo$57bobo30boo21bo6boo18bo5bo3boo$112bo$142b3o$
113b3o$113bo$72bo27boo12bo15boo28boo$72bobo6bo18boo28boo28boo$72boo6bo
17boo28boo28boo$80b3o15boo28boo28boo$76b3o$76bo$77bo16$81bo$81bobo$81b
oo28$41b3o$$39bo5bo$34boo3bo5bo$33bobo3bo5bo$33boo59boo28boo28boo$41b
3o51bo29bo29bo$95boboo26boboo26boboo$94boobbo25boobbo25boobbo$32b3o56b
o4boo23bo4boo23bo4boo$42boo47b5o25b5o25b5o$30bo5bo6bo45boo4bo23boo4bo
23boo4bo$30bo5bo3bo49bobboo25bobboo25bobboo$30bo5bo3boo9bo38bobo27bobo
27bobo$50bo34bobbobobo22bobbobobo22bobbobobo$32b3o15b3o32b4oboo23b4ob
oo23b4oboo$89bo29bo29bo$87bobo27bobo27bobo$50boo35boo28boo28boo$50boo$
44boobboo$43bobobboo52boo28boo$45bo55bobo27bobo$101boo28boo$134boo$
134bobo$134bo25$3o$bbo$bo!

User avatar
A for awesome
Posts: 2047
Joined: September 13th, 2014, 5:36 pm
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Re: Thread For Your Useless Discoveries

Post by A for awesome » July 28th, 2015, 12:16 pm

5G + block and table --> Big S:

Code: Select all

x = 15, y = 18, rule = B3/S23
2bo$3b2o$2b2o3$o5b2o$b2o4bo$2o5bob2o$6b2ob2o$3b2o$2bobo$4bo$13bo$12b2o
$12bobo$5b2o$4bobo$6bo!
Unfortunately, big S's are more common than block on tables.

Edit:
DISCLAIMER: The sparks in the following "synthesis" are probably impossible to place using gliders. Do not tell me that the reaction below would not work, because I already know. It is meant as an example of what a useful modification to the above synthesis might look like, not the aforementioned useful modification itself.

Is it possible to modify the above synthesis to yield something useful, as in the example below (except with actually viable sparking)?:

Code: Select all

x = 103, y = 19, rule = LifeHistory
23.2B$2.A20.3B15.2B17.2B17.2B$3.2A18.3BA2.2C10.3B16.3B16.3B$2.2A20.A
2B4.C9.4B2.2A11.4B2.2A11.4B2.2A12.2A$25.3BA13.3B2.2AB11.3B.A2BA11.3B.
A2BA10.A2.A$21.2B3.2BA14.3BA.A13.3BA.A.C11.3BA.A.A9.A.A.A$A5.2A13.3B.
2A.A10.2B3.2B2A10.2B.2CB2ABA.C7.2BC2BABABA.A6.2A.A.A.A$.2A4.A13.2BA3B
.A.2A7.3B.2B.A.A9.3B.2B.A.2A8.4B2A.A.2A6.A.A.A.2A$2A5.A.2A11.B2A2B2A.
2A7.2BAB2A.A.2A.C6.4B2A.A.2B.B6.3BABA.A.2B.B4.A.A.A$6.2A.2A13.A3B12.A
3B3A.2A.C7.A3BABA.2B.B7.3BA2BA.2B.B5.A2.A$3.2A18.B.2B14.2A3B3.A10.A3B
A3.B10.3B2A3.B8.2A$2.A.A19.2B5.3A7.B.2B4.2A9.B.2B3.2AB9.B.2B3.3B$4.A
26.A3B7.2B5.ABA9.2B5.3B9.2B4.4B$13.A14.A3.A3B12.2A3B14.B2A2B14.5B$12.
2A13.B2A3.3B10.3A.4B11.A2B.4B11.8B$12.A.A11.BABA15.2B2A2.3B10.3BA2.3B
10.4B2.3B$5.2A18.4B15.2BAB15.3BA15.4B$4.A.A19.2B15.4B15.4B15.4B$6.A
37.2B17.2B17.2B!
P.S. Sorry, don't know how to use LifeViewer. You have to paste it into Golly to see the LifeHistory.

Edit 2: This may be more useful, but it might also be known already:

Code: Select all

x = 12, y = 9, rule = B3/S23
obo$b2o$bo8bo$4b2o3bo$3bobo3b3o$3bo$2b2o2b3o$6bo$7bo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

User avatar
gmc_nxtman
Posts: 1149
Joined: May 26th, 2015, 7:20 pm

Re: Thread For Your Useless Discoveries

Post by gmc_nxtman » July 31st, 2015, 9:02 pm

Dirty downconversion reaction:

Code: Select all

x = 40, y = 21, rule = B3/S23
35bo$34bo$34bo4bo$34b5o6$16bobo$bo14b2o$o16bo$o3bo$4o$7bo$5b2o$7bo$4o$
o3bo$o$bo!
Found while trying to get a small mobile reflector off the Schick ship.

Also this collision which leaves the Schick engine intact, but makes a snorkel loop:

Code: Select all

x = 16, y = 15, rule = B3/S23
14bo$13bo$13b3o2$bo$o$o3bo$4o$7bo$5b2o$7bo$4o$o3bo$o$bo!
And a strange component (found by hand(!)

Code: Select all

x = 10, y = 11, rule = B3/S23
2bo$obo$b2o$8b2o$4b2obobo$4b2obo$8bo$4b2ob2o$4bo$5bob2o$4b2ob2o!

User avatar
Billabob
Posts: 146
Joined: April 2nd, 2015, 5:28 pm

Re: Thread For Your Useless Discoveries

Post by Billabob » August 2nd, 2015, 2:52 pm

I was bored, so I created a trivial oscillator composed of smaller oscillators with all periods lower than 57 and excluding 14, 15, 19, 23, 34, 38, 41, 51, and 53. It's beyond useless, it's bulky, and there's a mess at the left where I had some problems making an induction coil. Oh, and it's also in LifeHistory.

So, without any further ado, here is the most useless pattern in the history of Life:

Code: Select all

x = 430, y = 296, rule = LifeHistory
71.2A11.2A$70.B2A2B7.2B2AB$71.4B7.4B$72.4B5.4B$66.A4.6B3.6B4.A$65.A.A
2.5BA2B.2BA5B2.A.A$64.A2.A5B2ABAB.BAB2A5BA2.A$65.2A2.5B2ABA.AB2A5B2.
2A$66.B2.6BABA.ABA6B2.B$66.3B.8B.8B.3B$61.B3.5B2.6B.6B2.5B3.B$60.2AB.
6B3.5B.5B3.6B.B2A$60.2A9B2.5B.5B2.9B2A$61.5BA6B.4B.4B.6BA5B$61.5B2A6B
.2B3.2B.6B2A5B$63.2BAB2A6B7.6B2ABA2B$64.2BA8B7.8BA2B$65.2B2A5B9.5B2A
2B2$65.2B2A5B9.5B2A2B$64.2BA8B7.8BA2B$63.2BAB2A6B7.6B2ABA2B$61.5B2A6B
.2B3.2B.6B2A5B$61.5BA6B.4B.4B.6BA5B$60.2A9B2.5B.5B2.9B2A$60.2AB.6B3.
5B.5B3.6B.B2A$61.B3.5B2.6B.6B2.5B3.B$66.3B.8B.8B.3B$66.B2.6BABA.ABA6B
2.B$65.2A2.5B2ABA.AB2A5B2.2A127.2A$64.A2.A5B2ABAB.BAB2A5BA2.A125.B2A
2B$65.A.A2.5BA2B.2BA5B2.A.A115.A11.4B$66.A4.6B3.6B4.A115.A.A11.3B$72.
4B5.4B122.A7.B3.3AB$71.4B7.4B128.2AB.A.2A$70.B2A2B7.2B2AB118.5A4.2A2B
2A4.4B$71.2A11.2A118.A4.A5.3B2A3.B4A$203.A.BAB7.4B4.A4BA$69.4A127.A2.
A.2AB4.2B7.BA.A.2BA$68.A4.A125.A.A.A.4BAB.2BA5.BABA3.A$69.5A126.A2.A
3.BABA2B2AB4.BAB$203.2A2.A2BAB.ABAB3.BA2B8.2A$71.A135.B2A4.4B2.BA2BA
3.2A.A.A$59.2B8.3A136.2B5.4B3.2A5.A.A$58.2BA7.A137.3B7.4B9.A.2A$57.BA
2BA5.B2A136.2B2A7.3B8.2A.A$56.AB3A2B2.5B132.2A3.2A2B5.2B11.A.A.A$55.B
A11B133.B2A2B2.BA2B4.2AB10.A2.2A$56.A12B133.4B3.4B.BA2BA2.2A5.2A$57.
12BA133.3B4.5BABAB3.A2.A2.A$58.11BAB127.B3.3AB5.3B.BA4B.A.A.A.A8.3B.B
$56.5B2.2B3ABA127.2AB.A.2A7.2B4.B2A.A2.A2.A.2A5.6B$56.2AB5.A2BAB128.
2A2B2A4.4B7.BAB.A5.2A.A2.2B.8B25.2A$57.A7.A2B130.3B2A3.B4A5.A4.A9.A.
2A8B2A24.B2A2B$54.3A8.2B131.4B4.A4BA4.5A7.2A.A.2A9BA25.4B$54.A149.BA.
A.2BA17.A.A2.2B.4BA4B22.6B$203.BABA3.A7.A10.A.A5.3BA3BAB21.7B$52.5A
146.BAB11.A.A10.A6.4BABA2B20.B3A3B$51.A.B.A.A145.BA2B11.A18.5BA4B18.
3B2A3B$51.A.B.A.A145.BA2BA29.10B17.BABA6B$52.5A148.2A29.10B17.2A2BA8B
A$236.4BA5B17.2BA5B3A2BAB$54.A9.A140.4A28.2BABA4B17.2BA2B2A4B2ABAB$
54.3A5.3A139.A4.A27.BA3BA3B10.4B2.2BA4B2.A8B$57.A3.A143.4A28.4BA4B.2B
3.A3.8BA2BA4.A3B2ABAB84.2A$56.2A.B.2A175.A9B2A.A.A.2A7BABA6.BA3B2A2B
83.2A$56.7B142.2A31.2A8B2A.A.A.2A9B8.A3B2A2B.B$58.BAB144.2A31.8B.2B2.
A.A2.B.2B2A3BA8.9B2A78.6A9.B$57.2BA2B178.6B5.A.A4.2B2A3BAB6.ABA7B2A
77.A2.B3.A7.3B$57.2BA2B141.4A34.B.3B6.A6.BAB2A3BA4.A2BA8B34.2A.2A20.
2A.2A14.2A2.3A6.3B2A$57.5B140.A4.A4.2A46.8BA2.4BA2B2.4B35.A.A.A19.A3.
A18.2B7.3BA.AB$57.5B141.A.ABA5.A47.BAB2A4B2A2BA2B23.2A2.B2.2A4.A5.A2.
B.A20.2A4.2A5.2A5.BA2B5.4B.2A2B$56.4BA139.3A.3B4.A50.BA2B3A5BA2B23.A.
A3BA.A3.A.A.2A.2A2B2.A11.2A2.4A.A.A3.A6.3A3.BA2BA4.3B.4B$55.4BA3BA
135.A3.2BA4.A.4A47.A8BA2B2A24.2A3B2A4.A.A.2A.A.2B3.A9.A.A2.A2.A.A.4A
5.A4.A3.A2B.11B$55.4BA3BAB134.2AB2A2.A3.A.A2.A50.6BABAB22.A3.B.A.B3.A
.A.A4.A.2A3B.A.2A5.A5.4B2A4.3A.A.4A.BA.A2BA.10B$56.3BA4BAB134.B2.A.2A
.B2A.A54.3B2A3B23.13A.A.A4.A.2A2B.2A.A.A.2A.A2B4.B8A2.A.A.B.A.2BABA2B
.4B3A2B$57.3BA3BAB133.2ABA2.A.2A2.A.B53.3B3AB28.B3AB6.A6.A3.A4.A.A.A
2.A.AB3.3A2.2B.A2B2.A4B2A.3A2BA2.BA3BAB20.2A$58.4BABA3B131.2A.A.A2.2A
2B4A51.7B27.2A2.B2.2A12.7A.A.A2.A.A.ABA2.3B.A7BA.2B3A2B3A2B2.2BA3BA2B
17.A4BA$59.5B.5B123.2A.5B2.A.3A2BA.A2.A50.6B28.A7.A18.A.A.A3.A.A.6BA.
AB2ABA3B2A.A2.3B2.B3.2BA3BA3B14.BA6BAB$32.A28.3BABA4B122.A.A3B5.A4.B
6A50.4B31.A5.A15.2A5.A6.A.ABABA.A.A.B.A.2B.B2AB2A.B.3A2.4B3A3B13.2BA
8BA2B$31.A.A29.BA3BA3B122.3A3B5.3A2.A55.2B2AB29.2A5.2A14.2A12.A.A3.A.
A2.2A.A.5A3.BA2BAB4.10B11.3BA8BA3B$31.B2AB28.BA4BA3B123.BA2B7.4A.2A
54.2A68.A.4A.A4.2A.A2.2A3.3BAB6.8B13.2BA8BA2B$32.2A30.BA3BA4B118.6A2B
10.A.A85.4A37.A6.3A4.2ABA2.BA3B2A6.8B15.BA6BAB$23.2B7.B2AB29.A3BA4B
117.A15.2A.A.A53.4A27.A4.A38.A6.A.3A2.2B.AB2AB.B6.4B3A3B16.A4BA$22.4B
AB6.AB32.A4B119.6A2B7.2A.2A53.A4.A27.4A38.2A7.2A2.2A3.2B.A10.10B17.2A
$21.4BAB2AB4.AB31.5B124.BA2B66.4A83.A3.AB.A10.2BA5BAB18.B$21.3B2AB3A
2.B2AB31.5B122.3A3B100.2A52.A2.A.A12.BA5BAB7.A9.B$21.3BAB4AB.2A33.2BA
2B121.A.A3B67.2A33.A2.A2.A45.2A3.A14.A5BA7.A.A4.2A.3B$20.BABABA6B3A
32.2BA2B121.2A.5B65.A32.A2.2B4A65.6B4.2A2.A.A4.A.AB2AB.2A$19.2B3AB2AB
2A2B2AB33.BAB63.2A63.2A.A64.A31.4A71.B3A2B2.A2.A.A.A.2A.A.ABABA2.A$8.
A8.2A7B4A3.B.B30.7B61.A.A62.2AB3A59.4A33.B4A68.4B2.BA.A.A.A.A.2A.ABAB
AB3A$7.A.A7.6B4A.B5.B2A29.2A.B.2A64.A2.2A58.B4.A57.A4.2A29.2A.AB.A63.
A5.2B3.3A.A2.A.A4.A.B.A$6.B3A4.2BA6B3AB7.3AB29.A3.A63.2A.A2.A57.2A.3A
59.3A.B.A.2A24.A.A.A.A61.A2.3A3.B4.3AB3.A.A4.A.A.3A$7.2A5.7BA5B8.2A
27.3A5.3A59.A.A.2A57.A2.A.A63.ABA.A.2A24.A3.2A62.3A3.A.2B5.3B4.A6.A.A
3.A$7.B2AB4.5BA6B6.B2AB27.A9.A59.A2B.B58.2A68.4A28.3A67.A2B5AB19.A2.
2A$9.AB4.A3BA5BABA5.BA100.A4B.2B124.3B.3A27.A66.A2.B2A.3AB18.2A$9.AB
5.ABA5BA3BA4.BA27.5A69.3BA4B53.4A66.B2.BA2.A93.2A2B5AB$7.B2AB6.6BA5B
4.B2AB24.A5.A67.2B3ABA2B52.A4.A64.2B2.B2ABA24.5A62.2A4.A.2B21.4A$7.2A
8.5BA7B5.2A25.6A66.B4AB2A2B53.4A19.2A4.B4.2A32.4B.BAB2.2A.A19.A5.A61.
A2.3A24.A4.A$6.B3A7.B3A6BA2B4.3AB95.2BA3B2A3B75.A2.A.5B.A2.A21.2B2.A
4.5B3.2A.A.2A20.5A64.2A27.4A$7.2AB5.B.4A6B7.A.A19.2A6.2A67.B2ABA2B2AB
2A37.2A4.2A7.2A20.3A2.5A2.3A20.4A3BA.3BA2B4.A.A$8.B.B3.4A7B2A8.A10.2A
7.A.A4.A2.A67.2BA2BABA3B38.A.A2.A.A6.B2AB17.2A3.2A5B2A24.B.A3BAB.BABA
B4.A.A25.A95.2A4.2A$9.B2A2B2AB2AB3A2B21.A.A6.A6.3A66.2AB.A4B2A3B39.A
2BA9.4B15.A.A2.A2.5B2.A4.2A21.B.A2.A3BA5.A25.A.A94.A.A2.A.A$9.3A6BABA
BAB9.5A10.A3.2A.5A70.A.AB.11B5.A30.BA4BAB8.2B16.A.A.A.A.A3BA.2A3.A2.A
19.A2B4.ABA31.A2BA12.2A.2B79.A2BA$10.2A.B4ABA3B10.A4.A8.2A.A2.A5.4A
67.A5.3BA6B5.3A28.B2A2B2AB7.BAB17.A.A.A3.AB8.A.A2.A2.A15.2A3.2BA2B31.
2B13.A2.2AB76.BA4BAB$8.B2AB2.3AB2A3B11.4A12.3A2.3A5.A65.2A5.A2BA3.2B
2A7.A15.A12.2B2A2B7.B3AB18.A5.B8.2A.A.5A20.2BA2B3.2A25.ABA14.2ABAB76.
B2A2B2AB3.B2AB$8.BA4.B2ABA4B24.2A4.3A2.5A72.BABA5.2A2B5.2A14.A.A13.2B
9.ABABAB15.A2BAB2.5B.B.2BA.BA27.ABA4.2BA24.A3.A13.3BAB76.2B2A2B4.4A$
8.BA6.BA4B14.2A3.A4.A.A.3A4.A2.A9.2B62.4B7.BA2B4.5B11.A.A12.B11.A3B2A
4.2B.2A6.3BA6B2A6BAB.4A16.A5.A3BA2.A.B26.4A8.2A3.3BAB78.2B4.BA.2B.AB$
8.B2AB7.2B15.A.A.A.A2.A2.A.A3.2A.A6.14B55.4B9.4B5.BA2B3.2A2.2A.A.A.2A
.2B6.4B6.2A6B3.B2A2.A5.A3BA6B3A4BA2B2A.B.A14.A.A4.BABAB.BA3BA.B33.A.A
2.2ABAB80.B4.2AB2.B2A$10.2A26.A.A.A3.3A6.A.2A4.16B53.4B11.4B2.B5AB.AB
.A2.A.A.A.A2.2AB3.A4BA2B2.BA4BA5B.BAB2A7.3BA6B2A6BAB.3A.A14.A.A4.2BA
3B.A3B4A21.2A9.A.A.A2.2AB80.2B3.2AB2.B2A$9.B2AB24.2A.2A8.A2.A9.4BA6BA
4B52.ABAB13.2B2A6BA4B2A.A3.A3.2ABAB2.BA5B2AB.3A2BABA3B.BA3B8.A2BAB2.
5B.B.2BA.BA3.A12.2A.A.2A3.5B4.A2.2B18.2A.A2.A.2A2.2A.A.A.2A.2B80.4B2.
BA.2B.AB$10.A.A24.A10.7A5.B.4B4A2B4A4B.B47.2B2AB15.7BAB2A2B3.A9.3BAB.
4BA4BA2BA4BA4B.BA3B10.A5.B8.2A.A.2A13.A.2A2.BAB.4B17.4B8.A.A2BA.A2.A.
A.2A87.B3A2B2.4A$11.A26.A.2A5.A8.2A.2A4BA3BA2BA3BA4B2A43.A.4BA17.A4BA
2B2A3B2A10.3BAB.3BABA2B3A.B2A5BAB2.BAB2A3.A3.A.A.A3.AB8.A.A.A18.AB2AB
2.2B17.2A3B3.2A.A.A.A2.A2.A.A91.6B3.B2AB$37.2A.A.A5.5A.2A.A.2A5BAB2A
2B2ABA5B2A39.4BA5B19.2A4BAB2AB.A10.2ABAB.5BA4BAB2.2BA4BA3.B2A2.A.A.A.
A.A.A.A.A3BA.2A3.A.A2.A17.A2.AB2.B18.2A2B2A.A.A.2A3.2A2.2A.2A90.A5BA$
37.A2.A.3A7.A.A2.A2.7BA6BA7B39.10B21.2B5A2B4.A7.A2.2AB3.6B2A6.4B6.2B.
2A.A.A.A.A2.A2.5B2.A4.A2.2A18.3A.3B16.2A.A.B2A.A.A104.BA5BAB$38.3A4.A
.A.2A.A.A2.A2.22B35.2A2.2B2ABABA2B21.2BABAB2A2B2.2A7.2A.2B4.2A3BA11.B
12.A.A2.2A3.2A5B2A31.4A15.B3A3.B2.A.A6.2A95.2BA5BAB$41.3A.A.2A.A.A2.
2A5.7B4.7B37.A4.2B5A2B21.10B20.BABABA9.2B13.A.A4.3A2.5A2.3A25.2A.A.AB
A14.3B7.2A8.A5.2A89.10B$36.3A.A2.A.A5.2A66.A.B2ABA4B2A19.5BA4B22.B3AB
7.2B2A2B12.A5.A2.A.5B.A2.A25.2A.A.B.3A12.4B16.A.2A.A2.A87.4B3A3B$35.A
2.A.2A2.2A16.7B4.7B5.A5.B4.5BA4.B11.2A3B2A2BA4BA17.A4B.A27.BAB7.B2A2B
2AB18.2A4.B4.2A30.2A4.A11.2B2AB16.A.A.A.A.2B86.8B$36.2A22.22B2.A.A2.
11B4A5B8.A3.2B2ABA7B15.B2A2B30.2B8.BA4BAB63.4A14.2A3.2A14.A2.A.2AB86.
8B$44.4A12.7BA6BA7B2.A.A2.10B2ABABA4B3.A3.A.2A4BA6B2A2B13.BABA31.4B9.
A2BA31.4A.2A27.A21.A.A12.A.A3.3AB85.10B$43.A4.A10.2A5BAB2A2B2ABA5B2A.
A.A.2A8B3ABA2BA2B2A.A.A.A2.A.BA.B5AB2.4B11.4B33.B2AB6.A.A2.A.A28.A3.A
.A29.A14.4A2.A14.2A4.B2A85.10B$44.4A11.2A4BA3BA2BA3BA4B2A.A.A.2AB.7B
2ABABAB.B2A.A.A.2A2.2A3.2BAB5.4B9.4B35.2A7.2A4.2A28.A.A4.A27.2A13.A.A
2.A.2A108.4B2A4B$60.B.4B4A2B4A4B.B3.A3.B4.6B4A4.B2.A.A11.5B4.2BAB7.4B
82.6A43.A4.A14.4A93.3B2A4B$46.2A15.4BA6BA4B17.5BA9.A.A14.2A5.2B2A5.AB
AB117.4A10.2A3.2A13.A4.A93.2B3A2B$46.A16.16B33.A15.A7.2A2B3.A2BA5.2A
79.2A29.A4.A9.A4.A15.5A93.7B$40.2A.2A.A4.2A11.14B51.3A5.6BA3B5.A78.2B
2AB28.5A11.A5.A110.9B$38.A2.A.A.A5.A18.2B59.A5.11B.BA.A78.4B44.2A4.2A
15.A94.10B$38.2A3.BA8.A84.3B2A4BA.B2A79.3B13.4B15.A35.3A91.10B$42.4B
6.2A85.3BABA2BA2B81.B3A3.B7.B4A3.A10.A.A9.4A24.A91.5B2A3B$42.6B.2B87.
2AB2A2BAB2AB82.2A.A.B2A6.A4BA.A.A4.2A3.A.A8.A4.A22.2A92.8B$43.4BA4B2A
85.3B2A3BA2B84.2A2B2A4.BA.A.2BA.A.A4.A3.2A.A.2A6.4A17.2A4.4B90.8B$36.
A5.3B2AB2ABA.A85.2B2AB4AB85.2A3B4.BABA3.A2.A.A.2A.A.A2B2.A.A4.A23.A7.
3B88.3B2A5B$36.3A3.3B2AB2AB.A86.2BAB3A2B87.4B4.BAB7.A.A.A2.A.5A.A2.A.
A.A3.2A18.A5.B3A89.10B$39.A.9B3.3A83.4BA3B92.2B2.BA2B7.A4.A.A2.B.A.A.
2A.A.A3.BA15.3A.A4.A.B89.10B$38.A.A9B5.A84.2B.4BA13.A76.4B.BA2BA10.2A
2.AB2A2BA4.A.A.AB13.2A.A.BA.A2.3A.2AB88.9B$38.2A9B95.B.2BA12.3A74.B3A
3.2A13.A.A.A.A.A4.A.A.2A14.A.2A3BA.A4.A.2A88.7B$41.2B.6B93.2A.A.A15.A
72.3B2AB17.A.A.A.2A6.A17.A2.A.BA.A2.3A.A.2A88.2B3AB3.B2AB$38.2A6.4B
91.A2.A.2A15.2A4.B68.A2BAB18.A.A.A26.2A2.3A.A4.A.A92.2B2A2B2.4A$38.A
8.AB3.2A87.2A2.A17.8B68.2AB21.A.A33.A6.2A92.B2AB2.BA.2B.AB$40.A5.A.A.
A2.A92.A.A16.6B3.BA87.2A33.A102.2B3.2AB2.B2A$39.2A4.A.2A.2A95.2A12.A.
6BA4BA.A121.2A6.4A91.B4.2AB2.B2A$45.A114.ABAB2ABABA5BA87.4A38.A4.A89.
2B4.BA.2B.AB$44.2A101.4A9.A8BA3B.B87.A4.A38.4A88.2B2A2B4.4A$146.A4.A
9.A2B.7B91.4A130.B2A2B2AB3.B2AB$44.4A99.4A11.A3.A130.2A2.B6.2A87.BA4B
AB$43.A4.A107.2A7.7B93.2A5.2A22.B4ABAB2.2B2AB88.A2BA$44.5A100.2A4.A2B
A4.6BA3B.B90.A7.A23.A.A2B3A5B87.A.A2.A.A$150.A5.A2BA3.4BABA5BA86.2A.A
7.A.2A24.B.B2.3B88.2A4.2A$46.A103.A.AB.4B2.2B.5BA4BA.A85.A2.2AB3.B2A
2.A23.B2A3.B2AB$46.3A102.2AB.BAB3.3B.6B3.BA87.2A2.A4B2.2A25.AB3.AB.AB
3.BA$49.A9.2A92.3BA2B.5B.5B94.2A4B3A33.2B2A3.2AB$48.2A9.A93.6BA6B3.B
95.A.BA.2B.A34.B2A2.B.B$48.6B2.BA.A93.3BA2B.2BA3B100.7A34.B3AB3A2BA.A
$50.5B.B2A94.6B.6B140.BABAB2.BAB4AB$49.5BA2B95.3B3AB.B3A3B101.3A36.2A
6.B2.2A$48.5B3AB96.6B.6B102.A2.A$48.5BABAB98.4B.4B106.2A33.4A$48.4BAB
A2B98.3B3.3B140.A4.A$48.5BA2B99.2B5.2B106.4A31.4A$46.2AB.3BAB99.BA2B
3.2BAB104.A4.A$45.A.AB2.6B97.A.A5.A.A105.4A33.2A19.A11.A$45.A9.2A98.A
7.A142.B2AB17.A.A9.A.A$44.2A9.A202.2A4.2B4.2A35.2B19.A11.A$56.3A102.
5A91.A2.A.6B.A2.A29.6B$58.A102.A4.A90.3A2.6B2.3A26.8BAB17.5A7.5A$162.
4A94.10A28.B2AB2A2B3A4.B3.A7.A4.A7.A4.A$28.A27.5A198.A2.6A2.A28.2A6BA
.AB.B2A.A.A5.A.BAB11.BAB.A5.2A$24.A2.A.A2.A22.A4.A101.2A95.2A.B4AB.2A
28.BA2B2AB2.3A2B2A.A.A2.A2.A.2AB11.B2A.A2.A2.A.A.2A15.2A$24.4A.4A23.
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24.2A5.2A25.2A96.6A.A95.AB4.3B4.2AB31.BA4B5.2A5.2A2.A2BA5.A2BA2.2A5.A
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17.2A7B2A11.A6.3BAB.BA3B$24.2BAB4.A.AB4.3B.A2B.3B4.BA.A96.A.A2BA2.A
95.B.B.2B3A2B3A2BA.A28.A2BA2B19.2B2A3B18.5A5B5A$24.2BAB5.2AB.5B4A8B.B
2A98.A.A.4A91.A.A2B3A.2BA2B2.BAB4AB27.5B20.2BA.A2B18.A4.B.A.B4.A$7.2A
14.2ABA8.6BAB8A5B102.A.A93.B4ABAB2.5B4.B2.2A28.B3AB17.A2BA.BAB.2B18.
12A$6.B2AB13.2A2B8.5B2A4B2A3BA4B101.2A.B.2A91.2A2.B5.3B39.B2AB15.BA4B
5.3B15.A.A5.B4.2A$7.3B12.4B9.6B4A6BA4B100.A2.2A.A101.2AB2A40.B14.B2A
6B2.2B3A15.2A3.6A$8.B2.2B.5B3.4B10.6B9A4B99.A2.ABA.A2.A9.A89.2AB2A53.
A6B2ABA2.2B3AB18.A.B4.A$6.7B2A2BABAB.2B2AB127.2A.A.B.A.2A7.3A89.B3AB
53.3BA.2BA.BAB2.B3A.B17.AB5A$6.6B3ABA3BAB2.2A10.6B9A4B100.A.A.2A.A8.A
93.BAB54.3B3ABA3BA4.B.3AB12.2A.A.A.A$6.5B2A6BA2B13.6B4A6BA4B99.A.2A2B
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100.A3.A.2A5.4B91.5B54.A3BAB3A3B5.3A2B13.2A.2A$.A2BAB.6B4A5B13.6BAB8A
5B101.5A.BAB2.BAB93.5B54.BAB.A2B.A3B5.3B$2.2BAB3.5B.AB2.B13.2AB.5B4A
8B.B2A103.AB3AB.ABAB83.2B2.A5.3B56.AB2A6BA6.2B$2.2BAB12.3B11.A.AB4.3B
.A2B.3B4.BA.A98.4A2.BAB.2B2AB.2A79.4A3BA2.2BA2B4.A2.2B46.6B2AB$.2ABA
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2A10.2A25.2A102.A4.7B85.B.A.B5A2BA3BA.B47.A2BA$4B156.A.A4.7B20.2A62.A
2B3.5A2.A.B$4B54.4A98.2A5.6B19.3A5.2A57.2A4.BAB4.2BA$2B2AB52.A4.A103.
8B17.A4.A2.A2.A62.B6.2A$2.2A53.5A103.4B2.4B12.2A.A.4A.A2.A.A61.2A$
151.2A5.2A4.A3B4.4B12.A.A.A2.B.3AB.2A55.2A.A4BA.2A$59.A25.A66.A5.2A2B
.BABA6.4B11.A.A.BAB2A3.B.A56.A2.6B2.A$58.A.A23.A.A65.A.AB3.5B2A8.2B2A
6.2A.2A.2ABA2.AB3A.A57.2A6B2A$59.A25.A67.2AB.8B10.BABA5.A4.2A3.2A3.A.
2A.A52.3A2.6A2.3A137.A7.A$64.A15.A74.2B2A5B12.A3B5.3A.B.3A2.2A.A3.A.A
51.A2.A.6B.A2.A136.A.A5.A.A$57.5A2.3A11.3A2.5A67.BABA5B13.4B6.ABABA2.
A2.A.2A.A2.A52.2A4.2B4.2A137.BA2B3.2BAB$56.A4.A5.A9.A5.A4.A67.BA7B13.
4B6.3A3.2A7.2A205.2B5.2B$55.A.BAB6.2AB7.B2A6.BAB.A68.8B13.4B5.BAB79.
4A136.3B3.3B$52.A2.A.2AB6.4B5.4B6.B2A.A2.A64.B.B3.4B13.4B3.B.B79.A4.A
130.4B.4B.4B.4B$51.A.A.A.4BA5.4B3.4B5.A4B.A.A.A62.BAB5.4B13.8B81.5A
128.2BA8B.8BA2B$52.A2.A3.BABA5.3B3.3B5.ABAB3.A2.A49.2A7.2A3.3A6.4B13.
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A6.4B13.5BABAB80.A12.A117.2BA8B.8BA2B$60.2A10B.10B2A56.A.A3.A.2A2.3A.
B.3A5.3BA12.5B2A2B80.3A8.3A115.2AB.5B3AB.B3A5B.B2A$62.8BAB.BA8B59.A.
2A.A3.2A3.2A4.A5.ABAB10.8B.B2A81.A6.A117.A.AB3.7B.7B3.BA.A$61.8BABA.A
BA8B60.A.3ABA2.AB2A.2A.2A6.2A2B8.2A5B3.BA.A79.2A6.2A116.A7.2BABAB.BAB
A2B7.A$62.6B2ABA.AB2A6B61.A.B3.2ABAB.A.A11.4B6.ABAB.2B2A5.A79.10B115.
2A8.2BA2B.2BA2B8.2A$60.2A6BA2BA.A2BA6B2A58.2A.B3A.B2.A.A.A12.4B4.3BA
4.2A5.2A80.4BAB127.5B.5B$55.2A2.A2BA3.3B2AB.B2A3B3.A2BA2.2A54.A.A2.A.
4A.A.2A12.4B2.4B90.B.5BABA2B.B120.2A.5B.5B.2A$52.A2.A3.BABA3.6B.6B3.A
BAB3.A2.A51.A2.A2.A4.A17.8B90.2A5BA3BA2B2A119.2A.5B.5B.2A$51.A.A.A.4B
A4.6B.6B4.A4B.A.A.A51.2A5.3A19.6B5.2A84.2A6BABA3B2A122.5B.5B$52.A2.A.
2AB7.2B2AB.B2A2B7.B2A.A2.A58.2A20.7B4.A.A85.3B.4BAB.3B113.2A8.2BA2B.
2BA2B8.2A$55.A.BAB5.4B2A3.2A4B5.BAB.A83.7B4.A88.B.B6.B.B115.A7.2BABAB
.BABA2B7.A$56.A4.A3.2A.B7.B.2A3.A4.A83.2A7B2.2A.A2.A86.4BAB118.A.AB3.
7B.7B3.BA.A$57.5A4.A11.A4.5A84.2A.B2A2B.BAB2.4A84.5BABA2B117.2AB.5B3A
B.B3A5B.B2A$64.A.A.A7.A.A.A94.BABA.B3ABA88.4BA3BAB119.2BA8B.8BA2B$59.
A3.A.A.2A7.2A.A.A3.A90.BAB2.BAB.5A85.4BABAB120.2BA8B.8BA2B$58.A.A2.A.
A13.A.A2.A.A87.4B5.2A.A3.A86.3BA122.2BA8B.8BA2B$59.A4.2A13.2A4.A88.2A
8.A.2B2A.A81.3B6.B2A120.4B.4B.4B.4B$175.A8.A.2A.A.A80.3AB6.3AB124.3B
3.3B$172.3A7.2A.A.B.A.2A79.3A.A4.A.2AB124.2B5.2B$172.A9.A2.A.ABA2.A
79.BA.A.A2.A.A.2B123.BA2B3.2BAB$184.A.2A2.A83.A2.A2.A2.A125.A.A5.A.A$
183.2A.B.2A85.2A4.2A127.A7.A$186.A.A$183.4A.A.A88.4A125.5A$183.A2.A2B
A.A86.A4.A4.B113.B4.A4.A$185.A5.A87.4A4.3B111.3B4.4A$183.A.6A96.3B
111.3B$182.A.A3.A92.2A2.7B107.7B2.2A$182.A2.A93.2B2AB.7B107.7B.B2A2B$
183.2A94.4B2.7B107.7B2.4B$279.6B.5B109.5B.6B$279.22BA2BA40B.40BA2BA
22B$281.4B.19BA19B4A16B.16B4A19BA19B.4B$280.B3A3B3A11BA3BA18BA3BA16B.
16BA3BA18BA3BA11B3A3B3AB$280.BA2BABA2BA12B4A22BA16B.16BA22B4A12BA2BAB
A2BAB$279.BA3BABA3BA33BA2BA12BA3B3.3BA12BA2BA33BA3BABA3BAB$280.BA2BA.
A2BAB4.4B40.A3B5.3BA40.4B4.BA2BA.A2BAB$279.4BAB.BA4B4.4B38.B3A7.3AB
38.4B4.4BAB.BA4B$279.2B2A2B.2B2A2B5.3BA36.4B9.4B36.A3B5.2B2A2B.2B2A2B
$279.B3A2B.2B3AB6.B2AB34.4B11.4B34.B2AB6.B3A2B.2B3AB$279.B3A2B.2B3AB
7.ABAB32.4B13.4B32.BABA7.B3A2B.2B3AB$279.6B.6B8.4B30.4B15.4B30.4B8.6B
.6B$279.6B.6B9.4B28.4B17.4B28.4B9.6B.6B$279.6B.6B10.4B26.4B19.4B26.4B
10.6B.6B$279.6B.6B11.4B24.4B21.4B24.4B11.6B.6B$279.6B.B3A2B12.4B22.4B
23.4B22.4B12.2B3AB.6B$280.5B.B3AB14.4B20.4B25.4B20.4B14.B3AB.5B$279.
7B5AB14.4B18.A3B27.3BA18.4B14.B5A7B$280.5B2A3B2A15.4B16.BABA29.ABAB
16.4B15.2A3B2A5B$280.5B2A3B2A16.4B14.2B2A31.2A2B14.4B16.2A3B2A5B$281.
4B.5B18.2B2A12.4B33.4B12.2A2B18.5B.4B$279.13B18.2A2B10.4B35.4B10.2B2A
18.13B$279.6B.5B20.BA2B8.4B37.4B8.2BAB20.5B.6B$279.4B2.2A3B2A20.4B6.
4B39.4B6.4B20.2A3B2A2.4B$279.2B2AB.2A3B2A21.4B4.4B41.4B4.4B21.2A3B2A.
B2A2B$281.2A2.B5AB22.4B2.4B43.4B2.4B22.B5AB2.2A$287.3A25.8B45.8B25.3A
$287.3A26.6B47.6B26.3A$288.B28.A3B49.3BA28.B$287.3B26.A5B47.5BA26.3B$
287.3B25.B3A4B45.4B3AB25.3B$281.2A2.7B22.4B2.3BA43.A3B2.4B22.7B2.2A$
279.2B2AB.7B21.4B4.B2AB41.B2AB4.4B21.7B.B2A2B$279.4B2.7B20.4B6.ABAB
39.BABA6.4B20.7B2.4B$279.6B.5B20.4B8.4B37.4B8.4B20.5B.6B$279.13B18.4B
10.4B35.4B10.4B18.13B$281.4B.5B18.4B12.4B33.4B12.4B18.5B.4B$280.B3A3B
3A2B16.4B14.4B31.4B14.4B16.2B3A3B3AB$280.BA2BABA2BA2B15.4B16.4B29.4B
16.4B15.2BA2BABA2BAB$279.BA3BABA3BAB14.4B18.4B27.4B18.4B14.BA3BABA3BA
B$280.BA2BA.A2BAB14.A3B20.4B25.4B20.3BA14.BA2BA.A2BAB$279.4BAB.BA4B
12.BABA22.4B23.4B22.ABAB12.4BAB.BA4B$279.2B2A2B.2B2A2B11.2B2A24.4B21.
4B24.2A2B11.2B2A2B.2B2A2B$279.B3A2B.2B3AB10.4B26.2B2A19.2A2B26.4B10.B
3A2B.2B3AB$279.B3A2B.2B3AB9.4B28.2A2B17.2B2A28.4B9.B3A2B.2B3AB$279.6B
.6B8.4B30.BA2B15.2BAB30.4B8.6B.6B$279.6B.6B7.4B32.4B13.4B32.4B7.6B.6B
$279.6B.6B6.4B34.4B11.4B34.4B6.6B.6B$279.6B.6B5.4B36.4B9.4B36.4B5.6B.
6B$279.6B.B3A2B4.4B38.4B7.4B38.4B4.2B3AB.6B$280.5B.B3AB4.4B40.4B5.4B
40.4B4.B3AB.5B$279.7B5A3BA42B2A5B3.5B2A42BA3B5A7B$280.5B2A3B4A21B2A
19B4A5B.5B4A19B2A21B4A3B2A5B$280.5B2A3B6A17B2AB2A18B2AB2A4B.4B2AB2A
18B2AB2A17B6A3B2A5B$281.4B.27B4A21B2A5B.5B2A21B4A27B.4B$279.35B2A29B.
29B2A35B$279.6B.5B109.5B.6B$279.4B2.2A3B2A107.2A3B2A2.4B$279.2B2AB.2A
3B2A107.2A3B2A.B2A2B$281.2A2.B5AB107.B5AB2.2A$287.3A111.3A$287.3A111.
3A$288.B113.B!
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M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: Thread For Your Useless Discoveries

Post by M. I. Wright » August 2nd, 2015, 5:32 pm

gmc_nxtman wrote: And a strange component (found by hand(!)

Code: Select all

x = 10, y = 11, rule = B3/S23
2bo$obo$b2o$8b2o$4b2obobo$4b2obo$8bo$4b2ob2o$4bo$5bob2o$4b2ob2o!
Replacing the snake with another shillelagh allows it to eat two gliders at once - giving it one still destroys it, though:

Code: Select all

x = 43, y = 45, rule = B3/S23
2bo$obo$b2o4$8bo$6bobo$7b2o4$14bo$12bobo$13b2o$20b2o$16b2obobo$16b2obo
$20bo$16b2ob2o$16bo$17bob2o$15bobob2o$15b2o$22b2o$22bobo$22bo4$28b2o$
28bobo$28bo10$40b2o$40bobo$40bo!
2 Rs -> 2 fleet predecessors -> 2 bi-ponds

Code: Select all

x = 7, y = 7, rule = B3/S23
bo$3o$2bo2$4b2o$5b2o$5bo!
This collision:

Code: Select all

x = 6, y = 3, rule = B3/S23
3b2o$2obobo$2obo!
is normally impossible (the glider collides with the block three generations before, making a pi). However, if you add a glider to the bi-block synthesis:

Code: Select all

x = 12, y = 6, rule = B3/S23
2bo$obo$b2o$4b2o3b2o$3bobo3bobo$5bo3bo!
Lastly, are there any oscillators that provide this spark for a G->MWSS?

Code: Select all

x = 6, y = 3, rule = B3/S23
2o2b2o$b2obo$o4bo!
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calcyman
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Re: Thread For Your Useless Discoveries

Post by calcyman » August 2nd, 2015, 5:34 pm

M. I. Wright wrote:Replacing the snake with another shillelagh allows it to eat two gliders at once - giving it one still destroys it, though:
Even without the still-life, the gliders naturally annihilate each other...
What do you do with ill crystallographers? Take them to the mono-clinic!

M. I. Wright
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Re: Thread For Your Useless Discoveries

Post by M. I. Wright » August 2nd, 2015, 6:49 pm

calcyman wrote:
M. I. Wright wrote:Replacing the snake with another shillelagh allows it to eat two gliders at once - giving it one still destroys it, though:
Even without the still-life, the gliders naturally annihilate each other...
Yeah, it's essentially a useless eater 2... I never claimed it was useful, although in retrospect I agree that it's not really interesting enough for even this thread. My bad.

As for that G->MWSS spark, Golly's Patterns/Life/Rakes/forward-lwss-rake-p90.rle uses a very similar spark (the exact same one, actually, but with a domino added - 2b2o2b2o$o2bob2o$obo4bo!) for G->LWSS, so it might be somewhat viable?
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dvgrn
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Re: Thread For Your Useless Discoveries

Post by dvgrn » August 2nd, 2015, 8:16 pm

M. I. Wright wrote:As for that G->MWSS spark, Golly's Patterns/Life/Rakes/forward-lwss-rake-p90.rle uses a very similar spark (the exact same one, actually, but with a domino added - 2b2o2b2o$o2bob2o$obo4bo!) for G->LWSS, so it might be somewhat viable? ... are there any oscillators that provide this spark for a G->MWSS?
Sure -- what period oscillator do you want? Just go get the appropriate gun out of chris_c's new gun collection and attach two copies to something like this --

Code: Select all

x = 199, y = 109, rule = B3/S23
111bo$obo109bo$b2o107b3o$bo59$3bo109bo$4bo109bo$2b3o107b3o13$64bo109bo
$64b3o107b3o$67bo109bo$66b2o108b2o2$47bo109bo$47b3o107b3o$50bo109bo$
37bo11b2o11b2o83bo11b2o11b2o$35b3o24b2o81b3o24b2o$34bo109bo$34b2o108b
2o$19b2o108b2o$20bo66b2o41bo66b2o$20bob2o63b2o41bob2o63b2o$21bo2bo106b
o2bo$22b2o108b2o$37b2o108b2o$37b2o34b2o72b2o34b2o$72bobo107bobo$72bo
109bo$71b2o108b2o$46bo3b2o104bo3b2o$45bobo3bo103bobo3bo$44bobo3bo12b2o
89bobo3bo12b2o$40b2obobo3bo13bobo84b2obobo3bo13bobo$40b2obo2b4obo13bo
84b2obo2b4obo13bo$44bobo3bobo12b2o87bobo3bobo12b2o$40b2ob2o2bo2bobo97b
2ob2o2bo2bobo$41bobo2b2o3bo99bobo2b2o3bo$29b2o10bobo95b2o10bobo$29b2o
11bo96b2o11bo!
... and there's your oscillator. Or to save space and allow lower period oscillators, you could generate the Herschel by colliding two or three gliders, I suppose, or more likely build the preblock that way directly.

The preblock plus glider -> *WSS reaction is one of the classic ways of building LWSSes and MWSSes -- you'll find it in Mark Niemiec's synthesis database for both spaceships, I believe.

There might be ways of rubbing two p46 shuttles together that produce a pre-block, I don't know. It would have to be a pretty quick reaction to rebuild at p46 after the *WSS gets out of the way. Probably easier at p92... and definitely easier to set up a glider-gun-based solution that works for any period.

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The Turtle
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Re: Thread For Your Useless Discoveries

Post by The Turtle » August 2nd, 2015, 8:26 pm

Billabob wrote:I was bored, so I created a trivial oscillator composed of smaller oscillators with all periods lower than 57 and excluding 14, 15, 19, 23, 34, 38, 41, 51, and 53. It's beyond useless, it's bulky, and there's a mess at the left where I had some problems making an induction coil. Oh, and it's also in LifeHistory.

So, without any further ado, here is the most useless pattern in the history of Life:

Code: Select all

x = 430, y = 296, rule = LifeHistory
71.2A11.2A$70.B2A2B7.2B2AB$71.4B7.4B$72.4B5.4B$66.A4.6B3.6B4.A$65.A.A
2.5BA2B.2BA5B2.A.A$64.A2.A5B2ABAB.BAB2A5BA2.A$65.2A2.5B2ABA.AB2A5B2.
2A$66.B2.6BABA.ABA6B2.B$66.3B.8B.8B.3B$61.B3.5B2.6B.6B2.5B3.B$60.2AB.
6B3.5B.5B3.6B.B2A$60.2A9B2.5B.5B2.9B2A$61.5BA6B.4B.4B.6BA5B$61.5B2A6B
.2B3.2B.6B2A5B$63.2BAB2A6B7.6B2ABA2B$64.2BA8B7.8BA2B$65.2B2A5B9.5B2A
2B2$65.2B2A5B9.5B2A2B$64.2BA8B7.8BA2B$63.2BAB2A6B7.6B2ABA2B$61.5B2A6B
.2B3.2B.6B2A5B$61.5BA6B.4B.4B.6BA5B$60.2A9B2.5B.5B2.9B2A$60.2AB.6B3.
5B.5B3.6B.B2A$61.B3.5B2.6B.6B2.5B3.B$66.3B.8B.8B.3B$66.B2.6BABA.ABA6B
2.B$65.2A2.5B2ABA.AB2A5B2.2A127.2A$64.A2.A5B2ABAB.BAB2A5BA2.A125.B2A
2B$65.A.A2.5BA2B.2BA5B2.A.A115.A11.4B$66.A4.6B3.6B4.A115.A.A11.3B$72.
4B5.4B122.A7.B3.3AB$71.4B7.4B128.2AB.A.2A$70.B2A2B7.2B2AB118.5A4.2A2B
2A4.4B$71.2A11.2A118.A4.A5.3B2A3.B4A$203.A.BAB7.4B4.A4BA$69.4A127.A2.
A.2AB4.2B7.BA.A.2BA$68.A4.A125.A.A.A.4BAB.2BA5.BABA3.A$69.5A126.A2.A
3.BABA2B2AB4.BAB$203.2A2.A2BAB.ABAB3.BA2B8.2A$71.A135.B2A4.4B2.BA2BA
3.2A.A.A$59.2B8.3A136.2B5.4B3.2A5.A.A$58.2BA7.A137.3B7.4B9.A.2A$57.BA
2BA5.B2A136.2B2A7.3B8.2A.A$56.AB3A2B2.5B132.2A3.2A2B5.2B11.A.A.A$55.B
A11B133.B2A2B2.BA2B4.2AB10.A2.2A$56.A12B133.4B3.4B.BA2BA2.2A5.2A$57.
12BA133.3B4.5BABAB3.A2.A2.A$58.11BAB127.B3.3AB5.3B.BA4B.A.A.A.A8.3B.B
$56.5B2.2B3ABA127.2AB.A.2A7.2B4.B2A.A2.A2.A.2A5.6B$56.2AB5.A2BAB128.
2A2B2A4.4B7.BAB.A5.2A.A2.2B.8B25.2A$57.A7.A2B130.3B2A3.B4A5.A4.A9.A.
2A8B2A24.B2A2B$54.3A8.2B131.4B4.A4BA4.5A7.2A.A.2A9BA25.4B$54.A149.BA.
A.2BA17.A.A2.2B.4BA4B22.6B$203.BABA3.A7.A10.A.A5.3BA3BAB21.7B$52.5A
146.BAB11.A.A10.A6.4BABA2B20.B3A3B$51.A.B.A.A145.BA2B11.A18.5BA4B18.
3B2A3B$51.A.B.A.A145.BA2BA29.10B17.BABA6B$52.5A148.2A29.10B17.2A2BA8B
A$236.4BA5B17.2BA5B3A2BAB$54.A9.A140.4A28.2BABA4B17.2BA2B2A4B2ABAB$
54.3A5.3A139.A4.A27.BA3BA3B10.4B2.2BA4B2.A8B$57.A3.A143.4A28.4BA4B.2B
3.A3.8BA2BA4.A3B2ABAB84.2A$56.2A.B.2A175.A9B2A.A.A.2A7BABA6.BA3B2A2B
83.2A$56.7B142.2A31.2A8B2A.A.A.2A9B8.A3B2A2B.B$58.BAB144.2A31.8B.2B2.
A.A2.B.2B2A3BA8.9B2A78.6A9.B$57.2BA2B178.6B5.A.A4.2B2A3BAB6.ABA7B2A
77.A2.B3.A7.3B$57.2BA2B141.4A34.B.3B6.A6.BAB2A3BA4.A2BA8B34.2A.2A20.
2A.2A14.2A2.3A6.3B2A$57.5B140.A4.A4.2A46.8BA2.4BA2B2.4B35.A.A.A19.A3.
A18.2B7.3BA.AB$57.5B141.A.ABA5.A47.BAB2A4B2A2BA2B23.2A2.B2.2A4.A5.A2.
B.A20.2A4.2A5.2A5.BA2B5.4B.2A2B$56.4BA139.3A.3B4.A50.BA2B3A5BA2B23.A.
A3BA.A3.A.A.2A.2A2B2.A11.2A2.4A.A.A3.A6.3A3.BA2BA4.3B.4B$55.4BA3BA
135.A3.2BA4.A.4A47.A8BA2B2A24.2A3B2A4.A.A.2A.A.2B3.A9.A.A2.A2.A.A.4A
5.A4.A3.A2B.11B$55.4BA3BAB134.2AB2A2.A3.A.A2.A50.6BABAB22.A3.B.A.B3.A
.A.A4.A.2A3B.A.2A5.A5.4B2A4.3A.A.4A.BA.A2BA.10B$56.3BA4BAB134.B2.A.2A
.B2A.A54.3B2A3B23.13A.A.A4.A.2A2B.2A.A.A.2A.A2B4.B8A2.A.A.B.A.2BABA2B
.4B3A2B$57.3BA3BAB133.2ABA2.A.2A2.A.B53.3B3AB28.B3AB6.A6.A3.A4.A.A.A
2.A.AB3.3A2.2B.A2B2.A4B2A.3A2BA2.BA3BAB20.2A$58.4BABA3B131.2A.A.A2.2A
2B4A51.7B27.2A2.B2.2A12.7A.A.A2.A.A.ABA2.3B.A7BA.2B3A2B3A2B2.2BA3BA2B
17.A4BA$59.5B.5B123.2A.5B2.A.3A2BA.A2.A50.6B28.A7.A18.A.A.A3.A.A.6BA.
AB2ABA3B2A.A2.3B2.B3.2BA3BA3B14.BA6BAB$32.A28.3BABA4B122.A.A3B5.A4.B
6A50.4B31.A5.A15.2A5.A6.A.ABABA.A.A.B.A.2B.B2AB2A.B.3A2.4B3A3B13.2BA
8BA2B$31.A.A29.BA3BA3B122.3A3B5.3A2.A55.2B2AB29.2A5.2A14.2A12.A.A3.A.
A2.2A.A.5A3.BA2BAB4.10B11.3BA8BA3B$31.B2AB28.BA4BA3B123.BA2B7.4A.2A
54.2A68.A.4A.A4.2A.A2.2A3.3BAB6.8B13.2BA8BA2B$32.2A30.BA3BA4B118.6A2B
10.A.A85.4A37.A6.3A4.2ABA2.BA3B2A6.8B15.BA6BAB$23.2B7.B2AB29.A3BA4B
117.A15.2A.A.A53.4A27.A4.A38.A6.A.3A2.2B.AB2AB.B6.4B3A3B16.A4BA$22.4B
AB6.AB32.A4B119.6A2B7.2A.2A53.A4.A27.4A38.2A7.2A2.2A3.2B.A10.10B17.2A
$21.4BAB2AB4.AB31.5B124.BA2B66.4A83.A3.AB.A10.2BA5BAB18.B$21.3B2AB3A
2.B2AB31.5B122.3A3B100.2A52.A2.A.A12.BA5BAB7.A9.B$21.3BAB4AB.2A33.2BA
2B121.A.A3B67.2A33.A2.A2.A45.2A3.A14.A5BA7.A.A4.2A.3B$20.BABABA6B3A
32.2BA2B121.2A.5B65.A32.A2.2B4A65.6B4.2A2.A.A4.A.AB2AB.2A$19.2B3AB2AB
2A2B2AB33.BAB63.2A63.2A.A64.A31.4A71.B3A2B2.A2.A.A.A.2A.A.ABABA2.A$8.
A8.2A7B4A3.B.B30.7B61.A.A62.2AB3A59.4A33.B4A68.4B2.BA.A.A.A.A.2A.ABAB
AB3A$7.A.A7.6B4A.B5.B2A29.2A.B.2A64.A2.2A58.B4.A57.A4.2A29.2A.AB.A63.
A5.2B3.3A.A2.A.A4.A.B.A$6.B3A4.2BA6B3AB7.3AB29.A3.A63.2A.A2.A57.2A.3A
59.3A.B.A.2A24.A.A.A.A61.A2.3A3.B4.3AB3.A.A4.A.A.3A$7.2A5.7BA5B8.2A
27.3A5.3A59.A.A.2A57.A2.A.A63.ABA.A.2A24.A3.2A62.3A3.A.2B5.3B4.A6.A.A
3.A$7.B2AB4.5BA6B6.B2AB27.A9.A59.A2B.B58.2A68.4A28.3A67.A2B5AB19.A2.
2A$9.AB4.A3BA5BABA5.BA100.A4B.2B124.3B.3A27.A66.A2.B2A.3AB18.2A$9.AB
5.ABA5BA3BA4.BA27.5A69.3BA4B53.4A66.B2.BA2.A93.2A2B5AB$7.B2AB6.6BA5B
4.B2AB24.A5.A67.2B3ABA2B52.A4.A64.2B2.B2ABA24.5A62.2A4.A.2B21.4A$7.2A
8.5BA7B5.2A25.6A66.B4AB2A2B53.4A19.2A4.B4.2A32.4B.BAB2.2A.A19.A5.A61.
A2.3A24.A4.A$6.B3A7.B3A6BA2B4.3AB95.2BA3B2A3B75.A2.A.5B.A2.A21.2B2.A
4.5B3.2A.A.2A20.5A64.2A27.4A$7.2AB5.B.4A6B7.A.A19.2A6.2A67.B2ABA2B2AB
2A37.2A4.2A7.2A20.3A2.5A2.3A20.4A3BA.3BA2B4.A.A$8.B.B3.4A7B2A8.A10.2A
7.A.A4.A2.A67.2BA2BABA3B38.A.A2.A.A6.B2AB17.2A3.2A5B2A24.B.A3BAB.BABA
B4.A.A25.A95.2A4.2A$9.B2A2B2AB2AB3A2B21.A.A6.A6.3A66.2AB.A4B2A3B39.A
2BA9.4B15.A.A2.A2.5B2.A4.2A21.B.A2.A3BA5.A25.A.A94.A.A2.A.A$9.3A6BABA
BAB9.5A10.A3.2A.5A70.A.AB.11B5.A30.BA4BAB8.2B16.A.A.A.A.A3BA.2A3.A2.A
19.A2B4.ABA31.A2BA12.2A.2B79.A2BA$10.2A.B4ABA3B10.A4.A8.2A.A2.A5.4A
67.A5.3BA6B5.3A28.B2A2B2AB7.BAB17.A.A.A3.AB8.A.A2.A2.A15.2A3.2BA2B31.
2B13.A2.2AB76.BA4BAB$8.B2AB2.3AB2A3B11.4A12.3A2.3A5.A65.2A5.A2BA3.2B
2A7.A15.A12.2B2A2B7.B3AB18.A5.B8.2A.A.5A20.2BA2B3.2A25.ABA14.2ABAB76.
B2A2B2AB3.B2AB$8.BA4.B2ABA4B24.2A4.3A2.5A72.BABA5.2A2B5.2A14.A.A13.2B
9.ABABAB15.A2BAB2.5B.B.2BA.BA27.ABA4.2BA24.A3.A13.3BAB76.2B2A2B4.4A$
8.BA6.BA4B14.2A3.A4.A.A.3A4.A2.A9.2B62.4B7.BA2B4.5B11.A.A12.B11.A3B2A
4.2B.2A6.3BA6B2A6BAB.4A16.A5.A3BA2.A.B26.4A8.2A3.3BAB78.2B4.BA.2B.AB$
8.B2AB7.2B15.A.A.A.A2.A2.A.A3.2A.A6.14B55.4B9.4B5.BA2B3.2A2.2A.A.A.2A
.2B6.4B6.2A6B3.B2A2.A5.A3BA6B3A4BA2B2A.B.A14.A.A4.BABAB.BA3BA.B33.A.A
2.2ABAB80.B4.2AB2.B2A$10.2A26.A.A.A3.3A6.A.2A4.16B53.4B11.4B2.B5AB.AB
.A2.A.A.A.A2.2AB3.A4BA2B2.BA4BA5B.BAB2A7.3BA6B2A6BAB.3A.A14.A.A4.2BA
3B.A3B4A21.2A9.A.A.A2.2AB80.2B3.2AB2.B2A$9.B2AB24.2A.2A8.A2.A9.4BA6BA
4B52.ABAB13.2B2A6BA4B2A.A3.A3.2ABAB2.BA5B2AB.3A2BABA3B.BA3B8.A2BAB2.
5B.B.2BA.BA3.A12.2A.A.2A3.5B4.A2.2B18.2A.A2.A.2A2.2A.A.A.2A.2B80.4B2.
BA.2B.AB$10.A.A24.A10.7A5.B.4B4A2B4A4B.B47.2B2AB15.7BAB2A2B3.A9.3BAB.
4BA4BA2BA4BA4B.BA3B10.A5.B8.2A.A.2A13.A.2A2.BAB.4B17.4B8.A.A2BA.A2.A.
A.2A87.B3A2B2.4A$11.A26.A.2A5.A8.2A.2A4BA3BA2BA3BA4B2A43.A.4BA17.A4BA
2B2A3B2A10.3BAB.3BABA2B3A.B2A5BAB2.BAB2A3.A3.A.A.A3.AB8.A.A.A18.AB2AB
2.2B17.2A3B3.2A.A.A.A2.A2.A.A91.6B3.B2AB$37.2A.A.A5.5A.2A.A.2A5BAB2A
2B2ABA5B2A39.4BA5B19.2A4BAB2AB.A10.2ABAB.5BA4BAB2.2BA4BA3.B2A2.A.A.A.
A.A.A.A.A3BA.2A3.A.A2.A17.A2.AB2.B18.2A2B2A.A.A.2A3.2A2.2A.2A90.A5BA$
37.A2.A.3A7.A.A2.A2.7BA6BA7B39.10B21.2B5A2B4.A7.A2.2AB3.6B2A6.4B6.2B.
2A.A.A.A.A2.A2.5B2.A4.A2.2A18.3A.3B16.2A.A.B2A.A.A104.BA5BAB$38.3A4.A
.A.2A.A.A2.A2.22B35.2A2.2B2ABABA2B21.2BABAB2A2B2.2A7.2A.2B4.2A3BA11.B
12.A.A2.2A3.2A5B2A31.4A15.B3A3.B2.A.A6.2A95.2BA5BAB$41.3A.A.2A.A.A2.
2A5.7B4.7B37.A4.2B5A2B21.10B20.BABABA9.2B13.A.A4.3A2.5A2.3A25.2A.A.AB
A14.3B7.2A8.A5.2A89.10B$36.3A.A2.A.A5.2A66.A.B2ABA4B2A19.5BA4B22.B3AB
7.2B2A2B12.A5.A2.A.5B.A2.A25.2A.A.B.3A12.4B16.A.2A.A2.A87.4B3A3B$35.A
2.A.2A2.2A16.7B4.7B5.A5.B4.5BA4.B11.2A3B2A2BA4BA17.A4B.A27.BAB7.B2A2B
2AB18.2A4.B4.2A30.2A4.A11.2B2AB16.A.A.A.A.2B86.8B$36.2A22.22B2.A.A2.
11B4A5B8.A3.2B2ABA7B15.B2A2B30.2B8.BA4BAB63.4A14.2A3.2A14.A2.A.2AB86.
8B$44.4A12.7BA6BA7B2.A.A2.10B2ABABA4B3.A3.A.2A4BA6B2A2B13.BABA31.4B9.
A2BA31.4A.2A27.A21.A.A12.A.A3.3AB85.10B$43.A4.A10.2A5BAB2A2B2ABA5B2A.
A.A.2A8B3ABA2BA2B2A.A.A.A2.A.BA.B5AB2.4B11.4B33.B2AB6.A.A2.A.A28.A3.A
.A29.A14.4A2.A14.2A4.B2A85.10B$44.4A11.2A4BA3BA2BA3BA4B2A.A.A.2AB.7B
2ABABAB.B2A.A.A.2A2.2A3.2BAB5.4B9.4B35.2A7.2A4.2A28.A.A4.A27.2A13.A.A
2.A.2A108.4B2A4B$60.B.4B4A2B4A4B.B3.A3.B4.6B4A4.B2.A.A11.5B4.2BAB7.4B
82.6A43.A4.A14.4A93.3B2A4B$46.2A15.4BA6BA4B17.5BA9.A.A14.2A5.2B2A5.AB
AB117.4A10.2A3.2A13.A4.A93.2B3A2B$46.A16.16B33.A15.A7.2A2B3.A2BA5.2A
79.2A29.A4.A9.A4.A15.5A93.7B$40.2A.2A.A4.2A11.14B51.3A5.6BA3B5.A78.2B
2AB28.5A11.A5.A110.9B$38.A2.A.A.A5.A18.2B59.A5.11B.BA.A78.4B44.2A4.2A
15.A94.10B$38.2A3.BA8.A84.3B2A4BA.B2A79.3B13.4B15.A35.3A91.10B$42.4B
6.2A85.3BABA2BA2B81.B3A3.B7.B4A3.A10.A.A9.4A24.A91.5B2A3B$42.6B.2B87.
2AB2A2BAB2AB82.2A.A.B2A6.A4BA.A.A4.2A3.A.A8.A4.A22.2A92.8B$43.4BA4B2A
85.3B2A3BA2B84.2A2B2A4.BA.A.2BA.A.A4.A3.2A.A.2A6.4A17.2A4.4B90.8B$36.
A5.3B2AB2ABA.A85.2B2AB4AB85.2A3B4.BABA3.A2.A.A.2A.A.A2B2.A.A4.A23.A7.
3B88.3B2A5B$36.3A3.3B2AB2AB.A86.2BAB3A2B87.4B4.BAB7.A.A.A2.A.5A.A2.A.
A.A3.2A18.A5.B3A89.10B$39.A.9B3.3A83.4BA3B92.2B2.BA2B7.A4.A.A2.B.A.A.
2A.A.A3.BA15.3A.A4.A.B89.10B$38.A.A9B5.A84.2B.4BA13.A76.4B.BA2BA10.2A
2.AB2A2BA4.A.A.AB13.2A.A.BA.A2.3A.2AB88.9B$38.2A9B95.B.2BA12.3A74.B3A
3.2A13.A.A.A.A.A4.A.A.2A14.A.2A3BA.A4.A.2A88.7B$41.2B.6B93.2A.A.A15.A
72.3B2AB17.A.A.A.2A6.A17.A2.A.BA.A2.3A.A.2A88.2B3AB3.B2AB$38.2A6.4B
91.A2.A.2A15.2A4.B68.A2BAB18.A.A.A26.2A2.3A.A4.A.A92.2B2A2B2.4A$38.A
8.AB3.2A87.2A2.A17.8B68.2AB21.A.A33.A6.2A92.B2AB2.BA.2B.AB$40.A5.A.A.
A2.A92.A.A16.6B3.BA87.2A33.A102.2B3.2AB2.B2A$39.2A4.A.2A.2A95.2A12.A.
6BA4BA.A121.2A6.4A91.B4.2AB2.B2A$45.A114.ABAB2ABABA5BA87.4A38.A4.A89.
2B4.BA.2B.AB$44.2A101.4A9.A8BA3B.B87.A4.A38.4A88.2B2A2B4.4A$146.A4.A
9.A2B.7B91.4A130.B2A2B2AB3.B2AB$44.4A99.4A11.A3.A130.2A2.B6.2A87.BA4B
AB$43.A4.A107.2A7.7B93.2A5.2A22.B4ABAB2.2B2AB88.A2BA$44.5A100.2A4.A2B
A4.6BA3B.B90.A7.A23.A.A2B3A5B87.A.A2.A.A$150.A5.A2BA3.4BABA5BA86.2A.A
7.A.2A24.B.B2.3B88.2A4.2A$46.A103.A.AB.4B2.2B.5BA4BA.A85.A2.2AB3.B2A
2.A23.B2A3.B2AB$46.3A102.2AB.BAB3.3B.6B3.BA87.2A2.A4B2.2A25.AB3.AB.AB
3.BA$49.A9.2A92.3BA2B.5B.5B94.2A4B3A33.2B2A3.2AB$48.2A9.A93.6BA6B3.B
95.A.BA.2B.A34.B2A2.B.B$48.6B2.BA.A93.3BA2B.2BA3B100.7A34.B3AB3A2BA.A
$50.5B.B2A94.6B.6B140.BABAB2.BAB4AB$49.5BA2B95.3B3AB.B3A3B101.3A36.2A
6.B2.2A$48.5B3AB96.6B.6B102.A2.A$48.5BABAB98.4B.4B106.2A33.4A$48.4BAB
A2B98.3B3.3B140.A4.A$48.5BA2B99.2B5.2B106.4A31.4A$46.2AB.3BAB99.BA2B
3.2BAB104.A4.A$45.A.AB2.6B97.A.A5.A.A105.4A33.2A19.A11.A$45.A9.2A98.A
7.A142.B2AB17.A.A9.A.A$44.2A9.A202.2A4.2B4.2A35.2B19.A11.A$56.3A102.
5A91.A2.A.6B.A2.A29.6B$58.A102.A4.A90.3A2.6B2.3A26.8BAB17.5A7.5A$162.
4A94.10A28.B2AB2A2B3A4.B3.A7.A4.A7.A4.A$28.A27.5A198.A2.6A2.A28.2A6BA
.AB.B2A.A.A5.A.BAB11.BAB.A5.2A$24.A2.A.A2.A22.A4.A101.2A95.2A.B4AB.2A
28.BA2B2AB2.3A2B2A.A.A2.A2.A.2AB11.B2A.A2.A2.A.A.2A15.2A$24.4A.4A23.
4A101.A2.A99.2B34.2BA3B2.BA2B.B2.A.A.A.A.A.4BA7.A4B.A.A.A.A.A.A.A13.A
.A$158.A3.A.A100.B6.BA32.6B4.A.A2.A2.A3.BABA5.ABAB3.A2.A2.A.A3.A13.A$
24.2A5.2A25.2A96.6A.A95.AB4.3B4.2AB31.BA4B5.2A5.2A2.A2BA5.A2BA2.2A5.A
.A3.2AB.AB3.BA.B2A$23.A2BAB4.A25.A96.A5.A96.B2A3.B3AB2.B.B32.BABA2B
17.2A7B2A11.A6.3BAB.BA3B$24.2BAB4.A.AB4.3B.A2B.3B4.BA.A96.A.A2BA2.A
95.B.B.2B3A2B3A2BA.A28.A2BA2B19.2B2A3B18.5A5B5A$24.2BAB5.2AB.5B4A8B.B
2A98.A.A.4A91.A.A2B3A.2BA2B2.BAB4AB27.5B20.2BA.A2B18.A4.B.A.B4.A$7.2A
14.2ABA8.6BAB8A5B102.A.A93.B4ABAB2.5B4.B2.2A28.B3AB17.A2BA.BAB.2B18.
12A$6.B2AB13.2A2B8.5B2A4B2A3BA4B101.2A.B.2A91.2A2.B5.3B39.B2AB15.BA4B
5.3B15.A.A5.B4.2A$7.3B12.4B9.6B4A6BA4B100.A2.2A.A101.2AB2A40.B14.B2A
6B2.2B3A15.2A3.6A$8.B2.2B.5B3.4B10.6B9A4B99.A2.ABA.A2.A9.A89.2AB2A53.
A6B2ABA2.2B3AB18.A.B4.A$6.7B2A2BABAB.2B2AB127.2A.A.B.A.2A7.3A89.B3AB
53.3BA.2BA.BAB2.B3A.B17.AB5A$6.6B3ABA3BAB2.2A10.6B9A4B100.A.A.2A.A8.A
93.BAB54.3B3ABA3BA4.B.3AB12.2A.A.A.A$6.5B2A6BA2B13.6B4A6BA4B99.A.2A2B
.A8.2A91.5B53.A5B.5BA4.B3A2B11.A2.A.A$2.2A2.6BAB5A3B13.5B2A4B2A3BA4B
100.A3.A.2A5.4B91.5B54.A3BAB3A3B5.3A2B13.2A.2A$.A2BAB.6B4A5B13.6BAB8A
5B101.5A.BAB2.BAB93.5B54.BAB.A2B.A3B5.3B$2.2BAB3.5B.AB2.B13.2AB.5B4A
8B.B2A103.AB3AB.ABAB83.2B2.A5.3B56.AB2A6BA6.2B$2.2BAB12.3B11.A.AB4.3B
.A2B.3B4.BA.A98.4A2.BAB.2B2AB.2A79.4A3BA2.2BA2B4.A2.2B46.6B2AB$.2ABA
13.B2AB10.A25.A98.A2.A.2A2.7B2A80.B.A3BAB.B3AB2.A3B4A46.4BAB$.2A2B14.
2A10.2A25.2A102.A4.7B85.B.A.B5A2BA3BA.B47.A2BA$4B156.A.A4.7B20.2A62.A
2B3.5A2.A.B$4B54.4A98.2A5.6B19.3A5.2A57.2A4.BAB4.2BA$2B2AB52.A4.A103.
8B17.A4.A2.A2.A62.B6.2A$2.2A53.5A103.4B2.4B12.2A.A.4A.A2.A.A61.2A$
151.2A5.2A4.A3B4.4B12.A.A.A2.B.3AB.2A55.2A.A4BA.2A$59.A25.A66.A5.2A2B
.BABA6.4B11.A.A.BAB2A3.B.A56.A2.6B2.A$58.A.A23.A.A65.A.AB3.5B2A8.2B2A
6.2A.2A.2ABA2.AB3A.A57.2A6B2A$59.A25.A67.2AB.8B10.BABA5.A4.2A3.2A3.A.
2A.A52.3A2.6A2.3A137.A7.A$64.A15.A74.2B2A5B12.A3B5.3A.B.3A2.2A.A3.A.A
51.A2.A.6B.A2.A136.A.A5.A.A$57.5A2.3A11.3A2.5A67.BABA5B13.4B6.ABABA2.
A2.A.2A.A2.A52.2A4.2B4.2A137.BA2B3.2BAB$56.A4.A5.A9.A5.A4.A67.BA7B13.
4B6.3A3.2A7.2A205.2B5.2B$55.A.BAB6.2AB7.B2A6.BAB.A68.8B13.4B5.BAB79.
4A136.3B3.3B$52.A2.A.2AB6.4B5.4B6.B2A.A2.A64.B.B3.4B13.4B3.B.B79.A4.A
130.4B.4B.4B.4B$51.A.A.A.4BA5.4B3.4B5.A4B.A.A.A62.BAB5.4B13.8B81.5A
128.2BA8B.8BA2B$52.A2.A3.BABA5.3B3.3B5.ABAB3.A2.A49.2A7.2A3.3A6.4B13.
7BAB212.2BA8B.8BA2B$55.2A2.A2BA3.6B.6B3.A2BA2.2A51.A2.A.2A.A2.A2.ABAB
A6.4B13.5BABAB80.A12.A117.2BA8B.8BA2B$60.2A10B.10B2A56.A.A3.A.2A2.3A.
B.3A5.3BA12.5B2A2B80.3A8.3A115.2AB.5B3AB.B3A5B.B2A$62.8BAB.BA8B59.A.
2A.A3.2A3.2A4.A5.ABAB10.8B.B2A81.A6.A117.A.AB3.7B.7B3.BA.A$61.8BABA.A
BA8B60.A.3ABA2.AB2A.2A.2A6.2A2B8.2A5B3.BA.A79.2A6.2A116.A7.2BABAB.BAB
A2B7.A$62.6B2ABA.AB2A6B61.A.B3.2ABAB.A.A11.4B6.ABAB.2B2A5.A79.10B115.
2A8.2BA2B.2BA2B8.2A$60.2A6BA2BA.A2BA6B2A58.2A.B3A.B2.A.A.A12.4B4.3BA
4.2A5.2A80.4BAB127.5B.5B$55.2A2.A2BA3.3B2AB.B2A3B3.A2BA2.2A54.A.A2.A.
4A.A.2A12.4B2.4B90.B.5BABA2B.B120.2A.5B.5B.2A$52.A2.A3.BABA3.6B.6B3.A
BAB3.A2.A51.A2.A2.A4.A17.8B90.2A5BA3BA2B2A119.2A.5B.5B.2A$51.A.A.A.4B
A4.6B.6B4.A4B.A.A.A51.2A5.3A19.6B5.2A84.2A6BABA3B2A122.5B.5B$52.A2.A.
2AB7.2B2AB.B2A2B7.B2A.A2.A58.2A20.7B4.A.A85.3B.4BAB.3B113.2A8.2BA2B.
2BA2B8.2A$55.A.BAB5.4B2A3.2A4B5.BAB.A83.7B4.A88.B.B6.B.B115.A7.2BABAB
.BABA2B7.A$56.A4.A3.2A.B7.B.2A3.A4.A83.2A7B2.2A.A2.A86.4BAB118.A.AB3.
7B.7B3.BA.A$57.5A4.A11.A4.5A84.2A.B2A2B.BAB2.4A84.5BABA2B117.2AB.5B3A
B.B3A5B.B2A$64.A.A.A7.A.A.A94.BABA.B3ABA88.4BA3BAB119.2BA8B.8BA2B$59.
A3.A.A.2A7.2A.A.A3.A90.BAB2.BAB.5A85.4BABAB120.2BA8B.8BA2B$58.A.A2.A.
A13.A.A2.A.A87.4B5.2A.A3.A86.3BA122.2BA8B.8BA2B$59.A4.2A13.2A4.A88.2A
8.A.2B2A.A81.3B6.B2A120.4B.4B.4B.4B$175.A8.A.2A.A.A80.3AB6.3AB124.3B
3.3B$172.3A7.2A.A.B.A.2A79.3A.A4.A.2AB124.2B5.2B$172.A9.A2.A.ABA2.A
79.BA.A.A2.A.A.2B123.BA2B3.2BAB$184.A.2A2.A83.A2.A2.A2.A125.A.A5.A.A$
183.2A.B.2A85.2A4.2A127.A7.A$186.A.A$183.4A.A.A88.4A125.5A$183.A2.A2B
A.A86.A4.A4.B113.B4.A4.A$185.A5.A87.4A4.3B111.3B4.4A$183.A.6A96.3B
111.3B$182.A.A3.A92.2A2.7B107.7B2.2A$182.A2.A93.2B2AB.7B107.7B.B2A2B$
183.2A94.4B2.7B107.7B2.4B$279.6B.5B109.5B.6B$279.22BA2BA40B.40BA2BA
22B$281.4B.19BA19B4A16B.16B4A19BA19B.4B$280.B3A3B3A11BA3BA18BA3BA16B.
16BA3BA18BA3BA11B3A3B3AB$280.BA2BABA2BA12B4A22BA16B.16BA22B4A12BA2BAB
A2BAB$279.BA3BABA3BA33BA2BA12BA3B3.3BA12BA2BA33BA3BABA3BAB$280.BA2BA.
A2BAB4.4B40.A3B5.3BA40.4B4.BA2BA.A2BAB$279.4BAB.BA4B4.4B38.B3A7.3AB
38.4B4.4BAB.BA4B$279.2B2A2B.2B2A2B5.3BA36.4B9.4B36.A3B5.2B2A2B.2B2A2B
$279.B3A2B.2B3AB6.B2AB34.4B11.4B34.B2AB6.B3A2B.2B3AB$279.B3A2B.2B3AB
7.ABAB32.4B13.4B32.BABA7.B3A2B.2B3AB$279.6B.6B8.4B30.4B15.4B30.4B8.6B
.6B$279.6B.6B9.4B28.4B17.4B28.4B9.6B.6B$279.6B.6B10.4B26.4B19.4B26.4B
10.6B.6B$279.6B.6B11.4B24.4B21.4B24.4B11.6B.6B$279.6B.B3A2B12.4B22.4B
23.4B22.4B12.2B3AB.6B$280.5B.B3AB14.4B20.4B25.4B20.4B14.B3AB.5B$279.
7B5AB14.4B18.A3B27.3BA18.4B14.B5A7B$280.5B2A3B2A15.4B16.BABA29.ABAB
16.4B15.2A3B2A5B$280.5B2A3B2A16.4B14.2B2A31.2A2B14.4B16.2A3B2A5B$281.
4B.5B18.2B2A12.4B33.4B12.2A2B18.5B.4B$279.13B18.2A2B10.4B35.4B10.2B2A
18.13B$279.6B.5B20.BA2B8.4B37.4B8.2BAB20.5B.6B$279.4B2.2A3B2A20.4B6.
4B39.4B6.4B20.2A3B2A2.4B$279.2B2AB.2A3B2A21.4B4.4B41.4B4.4B21.2A3B2A.
B2A2B$281.2A2.B5AB22.4B2.4B43.4B2.4B22.B5AB2.2A$287.3A25.8B45.8B25.3A
$287.3A26.6B47.6B26.3A$288.B28.A3B49.3BA28.B$287.3B26.A5B47.5BA26.3B$
287.3B25.B3A4B45.4B3AB25.3B$281.2A2.7B22.4B2.3BA43.A3B2.4B22.7B2.2A$
279.2B2AB.7B21.4B4.B2AB41.B2AB4.4B21.7B.B2A2B$279.4B2.7B20.4B6.ABAB
39.BABA6.4B20.7B2.4B$279.6B.5B20.4B8.4B37.4B8.4B20.5B.6B$279.13B18.4B
10.4B35.4B10.4B18.13B$281.4B.5B18.4B12.4B33.4B12.4B18.5B.4B$280.B3A3B
3A2B16.4B14.4B31.4B14.4B16.2B3A3B3AB$280.BA2BABA2BA2B15.4B16.4B29.4B
16.4B15.2BA2BABA2BAB$279.BA3BABA3BAB14.4B18.4B27.4B18.4B14.BA3BABA3BA
B$280.BA2BA.A2BAB14.A3B20.4B25.4B20.3BA14.BA2BA.A2BAB$279.4BAB.BA4B
12.BABA22.4B23.4B22.ABAB12.4BAB.BA4B$279.2B2A2B.2B2A2B11.2B2A24.4B21.
4B24.2A2B11.2B2A2B.2B2A2B$279.B3A2B.2B3AB10.4B26.2B2A19.2A2B26.4B10.B
3A2B.2B3AB$279.B3A2B.2B3AB9.4B28.2A2B17.2B2A28.4B9.B3A2B.2B3AB$279.6B
.6B8.4B30.BA2B15.2BAB30.4B8.6B.6B$279.6B.6B7.4B32.4B13.4B32.4B7.6B.6B
$279.6B.6B6.4B34.4B11.4B34.4B6.6B.6B$279.6B.6B5.4B36.4B9.4B36.4B5.6B.
6B$279.6B.B3A2B4.4B38.4B7.4B38.4B4.2B3AB.6B$280.5B.B3AB4.4B40.4B5.4B
40.4B4.B3AB.5B$279.7B5A3BA42B2A5B3.5B2A42BA3B5A7B$280.5B2A3B4A21B2A
19B4A5B.5B4A19B2A21B4A3B2A5B$280.5B2A3B6A17B2AB2A18B2AB2A4B.4B2AB2A
18B2AB2A17B6A3B2A5B$281.4B.27B4A21B2A5B.5B2A21B4A27B.4B$279.35B2A29B.
29B2A35B$279.6B.5B109.5B.6B$279.4B2.2A3B2A107.2A3B2A2.4B$279.2B2AB.2A
3B2A107.2A3B2A.B2A2B$281.2A2.B5AB107.B5AB2.2A$287.3A111.3A$287.3A111.
3A$288.B113.B!
It makes a nice trivial period 3978234280161741600 oscillator. :wink:
Only two things are constant: change and the speed of light.

User avatar
velcrorex
Posts: 339
Joined: November 1st, 2009, 1:33 pm

Re: Thread For Your Useless Discoveries

Post by velcrorex » August 2nd, 2015, 9:37 pm

A certainly useless p7 oscillator.

Code: Select all

x = 33, y = 33, rule = B3/S23
25b2o$15b2ob2ob2obo2bo$9bo3bo2bobo3bobo2bo$10bo2b2obo3b2o2b2obobo$7bo
2bo5b4obobo2bob2o$7b3o3b3o5bo2bobo$12bo2bo2bo2bo2bobo$4b2o7b2o2bobobob
2obob2o$5bo9b3o6bobo2bo$2bo2bo7b2o3b6o2bo2bobo$3b2o8bo2b2o2bo2bobo4bob
o$14b2obo6bo6bo$6bo$2b2obobob2o$3bobobobobo$bo3b2obo2bo$b4o3bobo$4bo2b
2ob2o$b2obobo2bo$bo2bo2bobo$3bo5b2o$bob5obo$b2o6bo$4bo2bob2o$b3ob4o2bo
$o2bo6bo$o3b6o$b3o$4bo2bo$3b2o2b3o$10bo$9bobo$10bo!
-Josh Ball.

User avatar
Scorbie
Posts: 1446
Joined: December 7th, 2013, 1:05 am

Re: Thread For Your Useless Discoveries

Post by Scorbie » August 2nd, 2015, 11:01 pm

I think you might already know, but interesting to note that the big oscillator is a pipsquirter rotor variant:

Code: Select all

x = 65, y = 28, rule = B3/S23
61b2o$52b2ob2ob2o2bo$46bo3bo2bobo3bobo$47bo2b2obo3b2o2b2o$44bo2bo5b4ob
obo2bo$44b3o3b3o5bo2bobo$4b2o43bo2bo2bo2bo2bob2o$3bobo35b2o7b2o2bobobo
b2obo$3bo38bo9b3o6bobo$2b2obo2bo30bo2bo7b2o3b6o2b2o$2bo2b4o31b2o8bo2b
2o2bo2bobo$3b2o46b2obo6b2o$2bo2b4o13b2ob2o16bo$2b2obo3bo11bobobo13b2ob
obob2o$3bo4bo2bo9bobobobo12bobobobobo$3bob2obob2o8b2ob2obobo9bo3b2obo
2bo$b2obo3bo10bo2bo3bobo9b4o3bobo$2bobo2b2o11bobo2b2ob2o11bo2b2ob2o$2b
obobo2b2o8b2obobo2bo10b2obobo2bo$2o2bo2bobo8bo3bo2bobo10bo2bo2bobo$bob
o5bo9bobo5b2o11bo5b2o$bob5ob2o7b2ob5obo10bob5obo$2bo6bo9bo7bo10b2o6bo$
3b2o2bobo9bob2o2bob2o12bo2bob2o$5b4o11bo2b4o2bo7bob2ob4o2bo$b3o17bo6b
2o7b2obo6b2o$bo2b7o11b6o13b6o$4bo2bo2bo13bo2bo15bo2bo!
Best wishes to you, Scorbie

User avatar
gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Re: Thread For Your Useless Discoveries

Post by gameoflifeboy » August 2nd, 2015, 11:45 pm

Billabob wrote:I was bored, so I created a trivial oscillator composed of smaller oscillators with all periods lower than 57 and excluding 14, 15, 19, 23, 34, 38, 41, 51, and 53. It's beyond useless, it's bulky, and there's a mess at the left where I had some problems making an induction coil. Oh, and it's also in LifeHistory.

So, without any further ado, here is the most useless pattern in the history of Life:

Code: Select all

x = 430, y = 296, rule = LifeHistory
71.2A11.2A$70.B2A2B7.2B2AB$71.4B7.4B$72.4B5.4B$66.A4.6B3.6B4.A$65.A.A
2.5BA2B.2BA5B2.A.A$64.A2.A5B2ABAB.BAB2A5BA2.A$65.2A2.5B2ABA.AB2A5B2.
2A$66.B2.6BABA.ABA6B2.B$66.3B.8B.8B.3B$61.B3.5B2.6B.6B2.5B3.B$60.2AB.
6B3.5B.5B3.6B.B2A$60.2A9B2.5B.5B2.9B2A$61.5BA6B.4B.4B.6BA5B$61.5B2A6B
.2B3.2B.6B2A5B$63.2BAB2A6B7.6B2ABA2B$64.2BA8B7.8BA2B$65.2B2A5B9.5B2A
2B2$65.2B2A5B9.5B2A2B$64.2BA8B7.8BA2B$63.2BAB2A6B7.6B2ABA2B$61.5B2A6B
.2B3.2B.6B2A5B$61.5BA6B.4B.4B.6BA5B$60.2A9B2.5B.5B2.9B2A$60.2AB.6B3.
5B.5B3.6B.B2A$61.B3.5B2.6B.6B2.5B3.B$66.3B.8B.8B.3B$66.B2.6BABA.ABA6B
2.B$65.2A2.5B2ABA.AB2A5B2.2A127.2A$64.A2.A5B2ABAB.BAB2A5BA2.A125.B2A
2B$65.A.A2.5BA2B.2BA5B2.A.A115.A11.4B$66.A4.6B3.6B4.A115.A.A11.3B$72.
4B5.4B122.A7.B3.3AB$71.4B7.4B128.2AB.A.2A$70.B2A2B7.2B2AB118.5A4.2A2B
2A4.4B$71.2A11.2A118.A4.A5.3B2A3.B4A$203.A.BAB7.4B4.A4BA$69.4A127.A2.
A.2AB4.2B7.BA.A.2BA$68.A4.A125.A.A.A.4BAB.2BA5.BABA3.A$69.5A126.A2.A
3.BABA2B2AB4.BAB$203.2A2.A2BAB.ABAB3.BA2B8.2A$71.A135.B2A4.4B2.BA2BA
3.2A.A.A$59.2B8.3A136.2B5.4B3.2A5.A.A$58.2BA7.A137.3B7.4B9.A.2A$57.BA
2BA5.B2A136.2B2A7.3B8.2A.A$56.AB3A2B2.5B132.2A3.2A2B5.2B11.A.A.A$55.B
A11B133.B2A2B2.BA2B4.2AB10.A2.2A$56.A12B133.4B3.4B.BA2BA2.2A5.2A$57.
12BA133.3B4.5BABAB3.A2.A2.A$58.11BAB127.B3.3AB5.3B.BA4B.A.A.A.A8.3B.B
$56.5B2.2B3ABA127.2AB.A.2A7.2B4.B2A.A2.A2.A.2A5.6B$56.2AB5.A2BAB128.
2A2B2A4.4B7.BAB.A5.2A.A2.2B.8B25.2A$57.A7.A2B130.3B2A3.B4A5.A4.A9.A.
2A8B2A24.B2A2B$54.3A8.2B131.4B4.A4BA4.5A7.2A.A.2A9BA25.4B$54.A149.BA.
A.2BA17.A.A2.2B.4BA4B22.6B$203.BABA3.A7.A10.A.A5.3BA3BAB21.7B$52.5A
146.BAB11.A.A10.A6.4BABA2B20.B3A3B$51.A.B.A.A145.BA2B11.A18.5BA4B18.
3B2A3B$51.A.B.A.A145.BA2BA29.10B17.BABA6B$52.5A148.2A29.10B17.2A2BA8B
A$236.4BA5B17.2BA5B3A2BAB$54.A9.A140.4A28.2BABA4B17.2BA2B2A4B2ABAB$
54.3A5.3A139.A4.A27.BA3BA3B10.4B2.2BA4B2.A8B$57.A3.A143.4A28.4BA4B.2B
3.A3.8BA2BA4.A3B2ABAB84.2A$56.2A.B.2A175.A9B2A.A.A.2A7BABA6.BA3B2A2B
83.2A$56.7B142.2A31.2A8B2A.A.A.2A9B8.A3B2A2B.B$58.BAB144.2A31.8B.2B2.
A.A2.B.2B2A3BA8.9B2A78.6A9.B$57.2BA2B178.6B5.A.A4.2B2A3BAB6.ABA7B2A
77.A2.B3.A7.3B$57.2BA2B141.4A34.B.3B6.A6.BAB2A3BA4.A2BA8B34.2A.2A20.
2A.2A14.2A2.3A6.3B2A$57.5B140.A4.A4.2A46.8BA2.4BA2B2.4B35.A.A.A19.A3.
A18.2B7.3BA.AB$57.5B141.A.ABA5.A47.BAB2A4B2A2BA2B23.2A2.B2.2A4.A5.A2.
B.A20.2A4.2A5.2A5.BA2B5.4B.2A2B$56.4BA139.3A.3B4.A50.BA2B3A5BA2B23.A.
A3BA.A3.A.A.2A.2A2B2.A11.2A2.4A.A.A3.A6.3A3.BA2BA4.3B.4B$55.4BA3BA
135.A3.2BA4.A.4A47.A8BA2B2A24.2A3B2A4.A.A.2A.A.2B3.A9.A.A2.A2.A.A.4A
5.A4.A3.A2B.11B$55.4BA3BAB134.2AB2A2.A3.A.A2.A50.6BABAB22.A3.B.A.B3.A
.A.A4.A.2A3B.A.2A5.A5.4B2A4.3A.A.4A.BA.A2BA.10B$56.3BA4BAB134.B2.A.2A
.B2A.A54.3B2A3B23.13A.A.A4.A.2A2B.2A.A.A.2A.A2B4.B8A2.A.A.B.A.2BABA2B
.4B3A2B$57.3BA3BAB133.2ABA2.A.2A2.A.B53.3B3AB28.B3AB6.A6.A3.A4.A.A.A
2.A.AB3.3A2.2B.A2B2.A4B2A.3A2BA2.BA3BAB20.2A$58.4BABA3B131.2A.A.A2.2A
2B4A51.7B27.2A2.B2.2A12.7A.A.A2.A.A.ABA2.3B.A7BA.2B3A2B3A2B2.2BA3BA2B
17.A4BA$59.5B.5B123.2A.5B2.A.3A2BA.A2.A50.6B28.A7.A18.A.A.A3.A.A.6BA.
AB2ABA3B2A.A2.3B2.B3.2BA3BA3B14.BA6BAB$32.A28.3BABA4B122.A.A3B5.A4.B
6A50.4B31.A5.A15.2A5.A6.A.ABABA.A.A.B.A.2B.B2AB2A.B.3A2.4B3A3B13.2BA
8BA2B$31.A.A29.BA3BA3B122.3A3B5.3A2.A55.2B2AB29.2A5.2A14.2A12.A.A3.A.
A2.2A.A.5A3.BA2BAB4.10B11.3BA8BA3B$31.B2AB28.BA4BA3B123.BA2B7.4A.2A
54.2A68.A.4A.A4.2A.A2.2A3.3BAB6.8B13.2BA8BA2B$32.2A30.BA3BA4B118.6A2B
10.A.A85.4A37.A6.3A4.2ABA2.BA3B2A6.8B15.BA6BAB$23.2B7.B2AB29.A3BA4B
117.A15.2A.A.A53.4A27.A4.A38.A6.A.3A2.2B.AB2AB.B6.4B3A3B16.A4BA$22.4B
AB6.AB32.A4B119.6A2B7.2A.2A53.A4.A27.4A38.2A7.2A2.2A3.2B.A10.10B17.2A
$21.4BAB2AB4.AB31.5B124.BA2B66.4A83.A3.AB.A10.2BA5BAB18.B$21.3B2AB3A
2.B2AB31.5B122.3A3B100.2A52.A2.A.A12.BA5BAB7.A9.B$21.3BAB4AB.2A33.2BA
2B121.A.A3B67.2A33.A2.A2.A45.2A3.A14.A5BA7.A.A4.2A.3B$20.BABABA6B3A
32.2BA2B121.2A.5B65.A32.A2.2B4A65.6B4.2A2.A.A4.A.AB2AB.2A$19.2B3AB2AB
2A2B2AB33.BAB63.2A63.2A.A64.A31.4A71.B3A2B2.A2.A.A.A.2A.A.ABABA2.A$8.
A8.2A7B4A3.B.B30.7B61.A.A62.2AB3A59.4A33.B4A68.4B2.BA.A.A.A.A.2A.ABAB
AB3A$7.A.A7.6B4A.B5.B2A29.2A.B.2A64.A2.2A58.B4.A57.A4.2A29.2A.AB.A63.
A5.2B3.3A.A2.A.A4.A.B.A$6.B3A4.2BA6B3AB7.3AB29.A3.A63.2A.A2.A57.2A.3A
59.3A.B.A.2A24.A.A.A.A61.A2.3A3.B4.3AB3.A.A4.A.A.3A$7.2A5.7BA5B8.2A
27.3A5.3A59.A.A.2A57.A2.A.A63.ABA.A.2A24.A3.2A62.3A3.A.2B5.3B4.A6.A.A
3.A$7.B2AB4.5BA6B6.B2AB27.A9.A59.A2B.B58.2A68.4A28.3A67.A2B5AB19.A2.
2A$9.AB4.A3BA5BABA5.BA100.A4B.2B124.3B.3A27.A66.A2.B2A.3AB18.2A$9.AB
5.ABA5BA3BA4.BA27.5A69.3BA4B53.4A66.B2.BA2.A93.2A2B5AB$7.B2AB6.6BA5B
4.B2AB24.A5.A67.2B3ABA2B52.A4.A64.2B2.B2ABA24.5A62.2A4.A.2B21.4A$7.2A
8.5BA7B5.2A25.6A66.B4AB2A2B53.4A19.2A4.B4.2A32.4B.BAB2.2A.A19.A5.A61.
A2.3A24.A4.A$6.B3A7.B3A6BA2B4.3AB95.2BA3B2A3B75.A2.A.5B.A2.A21.2B2.A
4.5B3.2A.A.2A20.5A64.2A27.4A$7.2AB5.B.4A6B7.A.A19.2A6.2A67.B2ABA2B2AB
2A37.2A4.2A7.2A20.3A2.5A2.3A20.4A3BA.3BA2B4.A.A$8.B.B3.4A7B2A8.A10.2A
7.A.A4.A2.A67.2BA2BABA3B38.A.A2.A.A6.B2AB17.2A3.2A5B2A24.B.A3BAB.BABA
B4.A.A25.A95.2A4.2A$9.B2A2B2AB2AB3A2B21.A.A6.A6.3A66.2AB.A4B2A3B39.A
2BA9.4B15.A.A2.A2.5B2.A4.2A21.B.A2.A3BA5.A25.A.A94.A.A2.A.A$9.3A6BABA
BAB9.5A10.A3.2A.5A70.A.AB.11B5.A30.BA4BAB8.2B16.A.A.A.A.A3BA.2A3.A2.A
19.A2B4.ABA31.A2BA12.2A.2B79.A2BA$10.2A.B4ABA3B10.A4.A8.2A.A2.A5.4A
67.A5.3BA6B5.3A28.B2A2B2AB7.BAB17.A.A.A3.AB8.A.A2.A2.A15.2A3.2BA2B31.
2B13.A2.2AB76.BA4BAB$8.B2AB2.3AB2A3B11.4A12.3A2.3A5.A65.2A5.A2BA3.2B
2A7.A15.A12.2B2A2B7.B3AB18.A5.B8.2A.A.5A20.2BA2B3.2A25.ABA14.2ABAB76.
B2A2B2AB3.B2AB$8.BA4.B2ABA4B24.2A4.3A2.5A72.BABA5.2A2B5.2A14.A.A13.2B
9.ABABAB15.A2BAB2.5B.B.2BA.BA27.ABA4.2BA24.A3.A13.3BAB76.2B2A2B4.4A$
8.BA6.BA4B14.2A3.A4.A.A.3A4.A2.A9.2B62.4B7.BA2B4.5B11.A.A12.B11.A3B2A
4.2B.2A6.3BA6B2A6BAB.4A16.A5.A3BA2.A.B26.4A8.2A3.3BAB78.2B4.BA.2B.AB$
8.B2AB7.2B15.A.A.A.A2.A2.A.A3.2A.A6.14B55.4B9.4B5.BA2B3.2A2.2A.A.A.2A
.2B6.4B6.2A6B3.B2A2.A5.A3BA6B3A4BA2B2A.B.A14.A.A4.BABAB.BA3BA.B33.A.A
2.2ABAB80.B4.2AB2.B2A$10.2A26.A.A.A3.3A6.A.2A4.16B53.4B11.4B2.B5AB.AB
.A2.A.A.A.A2.2AB3.A4BA2B2.BA4BA5B.BAB2A7.3BA6B2A6BAB.3A.A14.A.A4.2BA
3B.A3B4A21.2A9.A.A.A2.2AB80.2B3.2AB2.B2A$9.B2AB24.2A.2A8.A2.A9.4BA6BA
4B52.ABAB13.2B2A6BA4B2A.A3.A3.2ABAB2.BA5B2AB.3A2BABA3B.BA3B8.A2BAB2.
5B.B.2BA.BA3.A12.2A.A.2A3.5B4.A2.2B18.2A.A2.A.2A2.2A.A.A.2A.2B80.4B2.
BA.2B.AB$10.A.A24.A10.7A5.B.4B4A2B4A4B.B47.2B2AB15.7BAB2A2B3.A9.3BAB.
4BA4BA2BA4BA4B.BA3B10.A5.B8.2A.A.2A13.A.2A2.BAB.4B17.4B8.A.A2BA.A2.A.
A.2A87.B3A2B2.4A$11.A26.A.2A5.A8.2A.2A4BA3BA2BA3BA4B2A43.A.4BA17.A4BA
2B2A3B2A10.3BAB.3BABA2B3A.B2A5BAB2.BAB2A3.A3.A.A.A3.AB8.A.A.A18.AB2AB
2.2B17.2A3B3.2A.A.A.A2.A2.A.A91.6B3.B2AB$37.2A.A.A5.5A.2A.A.2A5BAB2A
2B2ABA5B2A39.4BA5B19.2A4BAB2AB.A10.2ABAB.5BA4BAB2.2BA4BA3.B2A2.A.A.A.
A.A.A.A.A3BA.2A3.A.A2.A17.A2.AB2.B18.2A2B2A.A.A.2A3.2A2.2A.2A90.A5BA$
37.A2.A.3A7.A.A2.A2.7BA6BA7B39.10B21.2B5A2B4.A7.A2.2AB3.6B2A6.4B6.2B.
2A.A.A.A.A2.A2.5B2.A4.A2.2A18.3A.3B16.2A.A.B2A.A.A104.BA5BAB$38.3A4.A
.A.2A.A.A2.A2.22B35.2A2.2B2ABABA2B21.2BABAB2A2B2.2A7.2A.2B4.2A3BA11.B
12.A.A2.2A3.2A5B2A31.4A15.B3A3.B2.A.A6.2A95.2BA5BAB$41.3A.A.2A.A.A2.
2A5.7B4.7B37.A4.2B5A2B21.10B20.BABABA9.2B13.A.A4.3A2.5A2.3A25.2A.A.AB
A14.3B7.2A8.A5.2A89.10B$36.3A.A2.A.A5.2A66.A.B2ABA4B2A19.5BA4B22.B3AB
7.2B2A2B12.A5.A2.A.5B.A2.A25.2A.A.B.3A12.4B16.A.2A.A2.A87.4B3A3B$35.A
2.A.2A2.2A16.7B4.7B5.A5.B4.5BA4.B11.2A3B2A2BA4BA17.A4B.A27.BAB7.B2A2B
2AB18.2A4.B4.2A30.2A4.A11.2B2AB16.A.A.A.A.2B86.8B$36.2A22.22B2.A.A2.
11B4A5B8.A3.2B2ABA7B15.B2A2B30.2B8.BA4BAB63.4A14.2A3.2A14.A2.A.2AB86.
8B$44.4A12.7BA6BA7B2.A.A2.10B2ABABA4B3.A3.A.2A4BA6B2A2B13.BABA31.4B9.
A2BA31.4A.2A27.A21.A.A12.A.A3.3AB85.10B$43.A4.A10.2A5BAB2A2B2ABA5B2A.
A.A.2A8B3ABA2BA2B2A.A.A.A2.A.BA.B5AB2.4B11.4B33.B2AB6.A.A2.A.A28.A3.A
.A29.A14.4A2.A14.2A4.B2A85.10B$44.4A11.2A4BA3BA2BA3BA4B2A.A.A.2AB.7B
2ABABAB.B2A.A.A.2A2.2A3.2BAB5.4B9.4B35.2A7.2A4.2A28.A.A4.A27.2A13.A.A
2.A.2A108.4B2A4B$60.B.4B4A2B4A4B.B3.A3.B4.6B4A4.B2.A.A11.5B4.2BAB7.4B
82.6A43.A4.A14.4A93.3B2A4B$46.2A15.4BA6BA4B17.5BA9.A.A14.2A5.2B2A5.AB
AB117.4A10.2A3.2A13.A4.A93.2B3A2B$46.A16.16B33.A15.A7.2A2B3.A2BA5.2A
79.2A29.A4.A9.A4.A15.5A93.7B$40.2A.2A.A4.2A11.14B51.3A5.6BA3B5.A78.2B
2AB28.5A11.A5.A110.9B$38.A2.A.A.A5.A18.2B59.A5.11B.BA.A78.4B44.2A4.2A
15.A94.10B$38.2A3.BA8.A84.3B2A4BA.B2A79.3B13.4B15.A35.3A91.10B$42.4B
6.2A85.3BABA2BA2B81.B3A3.B7.B4A3.A10.A.A9.4A24.A91.5B2A3B$42.6B.2B87.
2AB2A2BAB2AB82.2A.A.B2A6.A4BA.A.A4.2A3.A.A8.A4.A22.2A92.8B$43.4BA4B2A
85.3B2A3BA2B84.2A2B2A4.BA.A.2BA.A.A4.A3.2A.A.2A6.4A17.2A4.4B90.8B$36.
A5.3B2AB2ABA.A85.2B2AB4AB85.2A3B4.BABA3.A2.A.A.2A.A.A2B2.A.A4.A23.A7.
3B88.3B2A5B$36.3A3.3B2AB2AB.A86.2BAB3A2B87.4B4.BAB7.A.A.A2.A.5A.A2.A.
A.A3.2A18.A5.B3A89.10B$39.A.9B3.3A83.4BA3B92.2B2.BA2B7.A4.A.A2.B.A.A.
2A.A.A3.BA15.3A.A4.A.B89.10B$38.A.A9B5.A84.2B.4BA13.A76.4B.BA2BA10.2A
2.AB2A2BA4.A.A.AB13.2A.A.BA.A2.3A.2AB88.9B$38.2A9B95.B.2BA12.3A74.B3A
3.2A13.A.A.A.A.A4.A.A.2A14.A.2A3BA.A4.A.2A88.7B$41.2B.6B93.2A.A.A15.A
72.3B2AB17.A.A.A.2A6.A17.A2.A.BA.A2.3A.A.2A88.2B3AB3.B2AB$38.2A6.4B
91.A2.A.2A15.2A4.B68.A2BAB18.A.A.A26.2A2.3A.A4.A.A92.2B2A2B2.4A$38.A
8.AB3.2A87.2A2.A17.8B68.2AB21.A.A33.A6.2A92.B2AB2.BA.2B.AB$40.A5.A.A.
A2.A92.A.A16.6B3.BA87.2A33.A102.2B3.2AB2.B2A$39.2A4.A.2A.2A95.2A12.A.
6BA4BA.A121.2A6.4A91.B4.2AB2.B2A$45.A114.ABAB2ABABA5BA87.4A38.A4.A89.
2B4.BA.2B.AB$44.2A101.4A9.A8BA3B.B87.A4.A38.4A88.2B2A2B4.4A$146.A4.A
9.A2B.7B91.4A130.B2A2B2AB3.B2AB$44.4A99.4A11.A3.A130.2A2.B6.2A87.BA4B
AB$43.A4.A107.2A7.7B93.2A5.2A22.B4ABAB2.2B2AB88.A2BA$44.5A100.2A4.A2B
A4.6BA3B.B90.A7.A23.A.A2B3A5B87.A.A2.A.A$150.A5.A2BA3.4BABA5BA86.2A.A
7.A.2A24.B.B2.3B88.2A4.2A$46.A103.A.AB.4B2.2B.5BA4BA.A85.A2.2AB3.B2A
2.A23.B2A3.B2AB$46.3A102.2AB.BAB3.3B.6B3.BA87.2A2.A4B2.2A25.AB3.AB.AB
3.BA$49.A9.2A92.3BA2B.5B.5B94.2A4B3A33.2B2A3.2AB$48.2A9.A93.6BA6B3.B
95.A.BA.2B.A34.B2A2.B.B$48.6B2.BA.A93.3BA2B.2BA3B100.7A34.B3AB3A2BA.A
$50.5B.B2A94.6B.6B140.BABAB2.BAB4AB$49.5BA2B95.3B3AB.B3A3B101.3A36.2A
6.B2.2A$48.5B3AB96.6B.6B102.A2.A$48.5BABAB98.4B.4B106.2A33.4A$48.4BAB
A2B98.3B3.3B140.A4.A$48.5BA2B99.2B5.2B106.4A31.4A$46.2AB.3BAB99.BA2B
3.2BAB104.A4.A$45.A.AB2.6B97.A.A5.A.A105.4A33.2A19.A11.A$45.A9.2A98.A
7.A142.B2AB17.A.A9.A.A$44.2A9.A202.2A4.2B4.2A35.2B19.A11.A$56.3A102.
5A91.A2.A.6B.A2.A29.6B$58.A102.A4.A90.3A2.6B2.3A26.8BAB17.5A7.5A$162.
4A94.10A28.B2AB2A2B3A4.B3.A7.A4.A7.A4.A$28.A27.5A198.A2.6A2.A28.2A6BA
.AB.B2A.A.A5.A.BAB11.BAB.A5.2A$24.A2.A.A2.A22.A4.A101.2A95.2A.B4AB.2A
28.BA2B2AB2.3A2B2A.A.A2.A2.A.2AB11.B2A.A2.A2.A.A.2A15.2A$24.4A.4A23.
4A101.A2.A99.2B34.2BA3B2.BA2B.B2.A.A.A.A.A.4BA7.A4B.A.A.A.A.A.A.A13.A
.A$158.A3.A.A100.B6.BA32.6B4.A.A2.A2.A3.BABA5.ABAB3.A2.A2.A.A3.A13.A$
24.2A5.2A25.2A96.6A.A95.AB4.3B4.2AB31.BA4B5.2A5.2A2.A2BA5.A2BA2.2A5.A
.A3.2AB.AB3.BA.B2A$23.A2BAB4.A25.A96.A5.A96.B2A3.B3AB2.B.B32.BABA2B
17.2A7B2A11.A6.3BAB.BA3B$24.2BAB4.A.AB4.3B.A2B.3B4.BA.A96.A.A2BA2.A
95.B.B.2B3A2B3A2BA.A28.A2BA2B19.2B2A3B18.5A5B5A$24.2BAB5.2AB.5B4A8B.B
2A98.A.A.4A91.A.A2B3A.2BA2B2.BAB4AB27.5B20.2BA.A2B18.A4.B.A.B4.A$7.2A
14.2ABA8.6BAB8A5B102.A.A93.B4ABAB2.5B4.B2.2A28.B3AB17.A2BA.BAB.2B18.
12A$6.B2AB13.2A2B8.5B2A4B2A3BA4B101.2A.B.2A91.2A2.B5.3B39.B2AB15.BA4B
5.3B15.A.A5.B4.2A$7.3B12.4B9.6B4A6BA4B100.A2.2A.A101.2AB2A40.B14.B2A
6B2.2B3A15.2A3.6A$8.B2.2B.5B3.4B10.6B9A4B99.A2.ABA.A2.A9.A89.2AB2A53.
A6B2ABA2.2B3AB18.A.B4.A$6.7B2A2BABAB.2B2AB127.2A.A.B.A.2A7.3A89.B3AB
53.3BA.2BA.BAB2.B3A.B17.AB5A$6.6B3ABA3BAB2.2A10.6B9A4B100.A.A.2A.A8.A
93.BAB54.3B3ABA3BA4.B.3AB12.2A.A.A.A$6.5B2A6BA2B13.6B4A6BA4B99.A.2A2B
.A8.2A91.5B53.A5B.5BA4.B3A2B11.A2.A.A$2.2A2.6BAB5A3B13.5B2A4B2A3BA4B
100.A3.A.2A5.4B91.5B54.A3BAB3A3B5.3A2B13.2A.2A$.A2BAB.6B4A5B13.6BAB8A
5B101.5A.BAB2.BAB93.5B54.BAB.A2B.A3B5.3B$2.2BAB3.5B.AB2.B13.2AB.5B4A
8B.B2A103.AB3AB.ABAB83.2B2.A5.3B56.AB2A6BA6.2B$2.2BAB12.3B11.A.AB4.3B
.A2B.3B4.BA.A98.4A2.BAB.2B2AB.2A79.4A3BA2.2BA2B4.A2.2B46.6B2AB$.2ABA
13.B2AB10.A25.A98.A2.A.2A2.7B2A80.B.A3BAB.B3AB2.A3B4A46.4BAB$.2A2B14.
2A10.2A25.2A102.A4.7B85.B.A.B5A2BA3BA.B47.A2BA$4B156.A.A4.7B20.2A62.A
2B3.5A2.A.B$4B54.4A98.2A5.6B19.3A5.2A57.2A4.BAB4.2BA$2B2AB52.A4.A103.
8B17.A4.A2.A2.A62.B6.2A$2.2A53.5A103.4B2.4B12.2A.A.4A.A2.A.A61.2A$
151.2A5.2A4.A3B4.4B12.A.A.A2.B.3AB.2A55.2A.A4BA.2A$59.A25.A66.A5.2A2B
.BABA6.4B11.A.A.BAB2A3.B.A56.A2.6B2.A$58.A.A23.A.A65.A.AB3.5B2A8.2B2A
6.2A.2A.2ABA2.AB3A.A57.2A6B2A$59.A25.A67.2AB.8B10.BABA5.A4.2A3.2A3.A.
2A.A52.3A2.6A2.3A137.A7.A$64.A15.A74.2B2A5B12.A3B5.3A.B.3A2.2A.A3.A.A
51.A2.A.6B.A2.A136.A.A5.A.A$57.5A2.3A11.3A2.5A67.BABA5B13.4B6.ABABA2.
A2.A.2A.A2.A52.2A4.2B4.2A137.BA2B3.2BAB$56.A4.A5.A9.A5.A4.A67.BA7B13.
4B6.3A3.2A7.2A205.2B5.2B$55.A.BAB6.2AB7.B2A6.BAB.A68.8B13.4B5.BAB79.
4A136.3B3.3B$52.A2.A.2AB6.4B5.4B6.B2A.A2.A64.B.B3.4B13.4B3.B.B79.A4.A
130.4B.4B.4B.4B$51.A.A.A.4BA5.4B3.4B5.A4B.A.A.A62.BAB5.4B13.8B81.5A
128.2BA8B.8BA2B$52.A2.A3.BABA5.3B3.3B5.ABAB3.A2.A49.2A7.2A3.3A6.4B13.
7BAB212.2BA8B.8BA2B$55.2A2.A2BA3.6B.6B3.A2BA2.2A51.A2.A.2A.A2.A2.ABAB
A6.4B13.5BABAB80.A12.A117.2BA8B.8BA2B$60.2A10B.10B2A56.A.A3.A.2A2.3A.
B.3A5.3BA12.5B2A2B80.3A8.3A115.2AB.5B3AB.B3A5B.B2A$62.8BAB.BA8B59.A.
2A.A3.2A3.2A4.A5.ABAB10.8B.B2A81.A6.A117.A.AB3.7B.7B3.BA.A$61.8BABA.A
BA8B60.A.3ABA2.AB2A.2A.2A6.2A2B8.2A5B3.BA.A79.2A6.2A116.A7.2BABAB.BAB
A2B7.A$62.6B2ABA.AB2A6B61.A.B3.2ABAB.A.A11.4B6.ABAB.2B2A5.A79.10B115.
2A8.2BA2B.2BA2B8.2A$60.2A6BA2BA.A2BA6B2A58.2A.B3A.B2.A.A.A12.4B4.3BA
4.2A5.2A80.4BAB127.5B.5B$55.2A2.A2BA3.3B2AB.B2A3B3.A2BA2.2A54.A.A2.A.
4A.A.2A12.4B2.4B90.B.5BABA2B.B120.2A.5B.5B.2A$52.A2.A3.BABA3.6B.6B3.A
BAB3.A2.A51.A2.A2.A4.A17.8B90.2A5BA3BA2B2A119.2A.5B.5B.2A$51.A.A.A.4B
A4.6B.6B4.A4B.A.A.A51.2A5.3A19.6B5.2A84.2A6BABA3B2A122.5B.5B$52.A2.A.
2AB7.2B2AB.B2A2B7.B2A.A2.A58.2A20.7B4.A.A85.3B.4BAB.3B113.2A8.2BA2B.
2BA2B8.2A$55.A.BAB5.4B2A3.2A4B5.BAB.A83.7B4.A88.B.B6.B.B115.A7.2BABAB
.BABA2B7.A$56.A4.A3.2A.B7.B.2A3.A4.A83.2A7B2.2A.A2.A86.4BAB118.A.AB3.
7B.7B3.BA.A$57.5A4.A11.A4.5A84.2A.B2A2B.BAB2.4A84.5BABA2B117.2AB.5B3A
B.B3A5B.B2A$64.A.A.A7.A.A.A94.BABA.B3ABA88.4BA3BAB119.2BA8B.8BA2B$59.
A3.A.A.2A7.2A.A.A3.A90.BAB2.BAB.5A85.4BABAB120.2BA8B.8BA2B$58.A.A2.A.
A13.A.A2.A.A87.4B5.2A.A3.A86.3BA122.2BA8B.8BA2B$59.A4.2A13.2A4.A88.2A
8.A.2B2A.A81.3B6.B2A120.4B.4B.4B.4B$175.A8.A.2A.A.A80.3AB6.3AB124.3B
3.3B$172.3A7.2A.A.B.A.2A79.3A.A4.A.2AB124.2B5.2B$172.A9.A2.A.ABA2.A
79.BA.A.A2.A.A.2B123.BA2B3.2BAB$184.A.2A2.A83.A2.A2.A2.A125.A.A5.A.A$
183.2A.B.2A85.2A4.2A127.A7.A$186.A.A$183.4A.A.A88.4A125.5A$183.A2.A2B
A.A86.A4.A4.B113.B4.A4.A$185.A5.A87.4A4.3B111.3B4.4A$183.A.6A96.3B
111.3B$182.A.A3.A92.2A2.7B107.7B2.2A$182.A2.A93.2B2AB.7B107.7B.B2A2B$
183.2A94.4B2.7B107.7B2.4B$279.6B.5B109.5B.6B$279.22BA2BA40B.40BA2BA
22B$281.4B.19BA19B4A16B.16B4A19BA19B.4B$280.B3A3B3A11BA3BA18BA3BA16B.
16BA3BA18BA3BA11B3A3B3AB$280.BA2BABA2BA12B4A22BA16B.16BA22B4A12BA2BAB
A2BAB$279.BA3BABA3BA33BA2BA12BA3B3.3BA12BA2BA33BA3BABA3BAB$280.BA2BA.
A2BAB4.4B40.A3B5.3BA40.4B4.BA2BA.A2BAB$279.4BAB.BA4B4.4B38.B3A7.3AB
38.4B4.4BAB.BA4B$279.2B2A2B.2B2A2B5.3BA36.4B9.4B36.A3B5.2B2A2B.2B2A2B
$279.B3A2B.2B3AB6.B2AB34.4B11.4B34.B2AB6.B3A2B.2B3AB$279.B3A2B.2B3AB
7.ABAB32.4B13.4B32.BABA7.B3A2B.2B3AB$279.6B.6B8.4B30.4B15.4B30.4B8.6B
.6B$279.6B.6B9.4B28.4B17.4B28.4B9.6B.6B$279.6B.6B10.4B26.4B19.4B26.4B
10.6B.6B$279.6B.6B11.4B24.4B21.4B24.4B11.6B.6B$279.6B.B3A2B12.4B22.4B
23.4B22.4B12.2B3AB.6B$280.5B.B3AB14.4B20.4B25.4B20.4B14.B3AB.5B$279.
7B5AB14.4B18.A3B27.3BA18.4B14.B5A7B$280.5B2A3B2A15.4B16.BABA29.ABAB
16.4B15.2A3B2A5B$280.5B2A3B2A16.4B14.2B2A31.2A2B14.4B16.2A3B2A5B$281.
4B.5B18.2B2A12.4B33.4B12.2A2B18.5B.4B$279.13B18.2A2B10.4B35.4B10.2B2A
18.13B$279.6B.5B20.BA2B8.4B37.4B8.2BAB20.5B.6B$279.4B2.2A3B2A20.4B6.
4B39.4B6.4B20.2A3B2A2.4B$279.2B2AB.2A3B2A21.4B4.4B41.4B4.4B21.2A3B2A.
B2A2B$281.2A2.B5AB22.4B2.4B43.4B2.4B22.B5AB2.2A$287.3A25.8B45.8B25.3A
$287.3A26.6B47.6B26.3A$288.B28.A3B49.3BA28.B$287.3B26.A5B47.5BA26.3B$
287.3B25.B3A4B45.4B3AB25.3B$281.2A2.7B22.4B2.3BA43.A3B2.4B22.7B2.2A$
279.2B2AB.7B21.4B4.B2AB41.B2AB4.4B21.7B.B2A2B$279.4B2.7B20.4B6.ABAB
39.BABA6.4B20.7B2.4B$279.6B.5B20.4B8.4B37.4B8.4B20.5B.6B$279.13B18.4B
10.4B35.4B10.4B18.13B$281.4B.5B18.4B12.4B33.4B12.4B18.5B.4B$280.B3A3B
3A2B16.4B14.4B31.4B14.4B16.2B3A3B3AB$280.BA2BABA2BA2B15.4B16.4B29.4B
16.4B15.2BA2BABA2BAB$279.BA3BABA3BAB14.4B18.4B27.4B18.4B14.BA3BABA3BA
B$280.BA2BA.A2BAB14.A3B20.4B25.4B20.3BA14.BA2BA.A2BAB$279.4BAB.BA4B
12.BABA22.4B23.4B22.ABAB12.4BAB.BA4B$279.2B2A2B.2B2A2B11.2B2A24.4B21.
4B24.2A2B11.2B2A2B.2B2A2B$279.B3A2B.2B3AB10.4B26.2B2A19.2A2B26.4B10.B
3A2B.2B3AB$279.B3A2B.2B3AB9.4B28.2A2B17.2B2A28.4B9.B3A2B.2B3AB$279.6B
.6B8.4B30.BA2B15.2BAB30.4B8.6B.6B$279.6B.6B7.4B32.4B13.4B32.4B7.6B.6B
$279.6B.6B6.4B34.4B11.4B34.4B6.6B.6B$279.6B.6B5.4B36.4B9.4B36.4B5.6B.
6B$279.6B.B3A2B4.4B38.4B7.4B38.4B4.2B3AB.6B$280.5B.B3AB4.4B40.4B5.4B
40.4B4.B3AB.5B$279.7B5A3BA42B2A5B3.5B2A42BA3B5A7B$280.5B2A3B4A21B2A
19B4A5B.5B4A19B2A21B4A3B2A5B$280.5B2A3B6A17B2AB2A18B2AB2A4B.4B2AB2A
18B2AB2A17B6A3B2A5B$281.4B.27B4A21B2A5B.5B2A21B4A27B.4B$279.35B2A29B.
29B2A35B$279.6B.5B109.5B.6B$279.4B2.2A3B2A107.2A3B2A2.4B$279.2B2AB.2A
3B2A107.2A3B2A.B2A2B$281.2A2.B5AB107.B5AB2.2A$287.3A111.3A$287.3A111.
3A$288.B113.B!
Where's period 43?

EDIT: I couldn't find 52 or 53 either. Here I labeled the periods I could find:

Code: Select all

x = 430, y = 296, rule = LifeHistory
71.2A11.2A$70.A2BAB7.BA2BA$71.2BAB7.BA2B$72.BA2B5.2BAB$66.A4.ABA3B3.
3BABA4.A$65.A.A2.BABA4B.4BABAB2.A.A$64.A2.A4BA3BAB.BA3BA4BA2.A$65.2A
2.6BABA.ABA6B2.2A$66.B2.6BABA.ABA6B2.B$66.3B.6BAB.BA6B.3B$61.A3.5B2.
6B.6B2.5B3.A$60.A2B.2A4B3.5B.5B3.4B2A.2BA$60.A5BA4B2.5B.5B2.4BA5BA$
61.5A7B.4B.4B.7B5A$61.13B.2B3.2B.13B$63.4B2A6B7.6B2A4B$64.2BA2BA5B7.
5BA2BA2B4.3D.3D$65.2B2A5B9.5B2A2B7.D3.D$97.3D3.D$65.2B2A5B9.5B2A2B7.D
3.D$64.2BA2BA5B7.5BA2BA2B4.3D3.D$63.4B2A6B7.6B2A4B$61.13B.2B3.2B.13B$
61.5A7B.4B.4B.7B5A$60.A5BA4B2.5B.5B2.4BA5BA$60.A2B.2A4B3.5B.5B3.4B2A.
2BA$61.A3.5B2.6B.6B2.5B3.A$66.3B.6BAB.BA6B.3B$66.B2.6BABA.ABA6B2.B$
65.2A2.6BABA.ABA6B2.2A127.2A$64.A2.A4BA3BAB.BA3BA4BA2.A125.B2A2B2.D.D
.3D$65.A.A2.BABA4B.4BABAB2.A.A115.A11.2A2B2.D.D3.D$66.A4.ABA3B3.3BABA
4.A115.A.A11.A2B2.3D.3D$72.BA2B5.2BAB122.A7.B3.ABAB4.D.D$71.2BAB7.BA
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56.2BABA2B2.5B132.2A3.4B5.2B11.A.A.A$55.2BA3BA6B133.B2A2B2.3BA4.2AB
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9.AB3A3BA4B.B60.D.D.D22.A4.A.D3.D32.4A88.B4AB4.A2BA$146.A4.A9.3A.ABA
4B63.D.3D23.4A46.D.3D79.B6AB3.A2BA$44.4A99.4A11.B3.B130.2B2.A6.2A3.D
3.D79.BA4BAB$43.A4.A107.2A7.2BA4B93.2A5.2A22.4A3BA2.2B2AB2.D.3D81.A2B
A$44.5A100.2A4.BABA4.5BA4B.B90.A7.A23.B.A3BA6B3.D.D81.A.A2.A.A$150.A
5.3AB3.4B3A5BA86.2A.A7.A.2A24.B.A2.3B4.D.3D79.2A4.2A$46.A103.A.AB.2B
2A2.2B.5BA4BA.A85.A2.2AB3.B2A2.A23.A2B3.B2AB$46.3A102.2AB.B2A3.3B.6B
3.BA87.2A2.3BAB2.2A25.2A3.BA.AB3.2A$49.A9.2A92.3BABA.5B.5B94.4A3B2A
33.3AB3.2BA$48.2A9.A93.13B3.B95.A.2B.2B.A34.3B2.A.B$48.6B2.BA.A93.3BA
BA.ABA3B100.7A.3D.3D26.6BA3BA.B$50.5B.B2A94.3B2AB.B2A3B110.D3.D25.B2A
2B2.A3B4A$49.BA6B95.3B2A2B.2B2A3B.3D.3D93.3A3.3D.3D26.2A6.A2.2B$48.BA
2BA4B96.6B.6B4.D.D.D93.A2.A2.D3.D$48.BAB2A4B98.4B.4B4.3D.3D95.2A2.3D.
3D24.4A$48.2B3AB2AB98.3B3.3B4.D5.D129.A4.A$48.8B99.2B5.2B4.3D.3D95.4A
31.4A$46.2AB.5B99.BA2B3.2BAB104.A4.A38.D.3D$45.A.AB2.6B97.A.A5.A.A
105.4A33.2A4.D3.D10.A11.A$45.A9.2A98.A7.A142.B2AB3.D.3D9.A.A9.A.A$44.
2A9.A202.2A4.2B4.2A35.2B4.D3.D10.A11.A$56.3A102.5A91.A2.A.6B.A2.A29.
2BA3B5.D.3D$58.A102.A4.A90.3A2.6B2.3A26.BAB2ABA3B17.5A.D.3D.5A17.D.D.
3D$162.4A94.10A28.B3A4BA2B4.B3.A7.A4.A.D.D3.A4.A16.D.D.D.D$28.A27.5A
198.A2.6A2.A28.4BA2BAB.2B.B2A.A.A5.A.BAB3.D.3D3.BAB.A5.2A8.3D.3D$24.A
2.A.A2.A22.A4.A101.2A95.2A.B4AB.2A28.B2A2B2A2.5B2A.A.A2.A2.A.2AB3.D.D
.D3.3A.A2.A2.A.A.2A6.D.D.D4.2A$24.4A.4A23.4A101.A2.A99.2B34.6B2.2A2B.
B2.A.A.A.A.A.4BA.D.3D.4AB.A.A.A.A.A.A.A5.D.3D3.A.A$158.A3.A.A100.B6.
2A32.BA2BAB4.A.A2.A2.A3.BABA5.A2BA3.A2.A2.A.A3.A13.A$24.2A5.2A25.2A
96.6A.A95.2A4.3B4.2BA31.BA3BA5.2A5.2A2.A2BA5.BABA2.2A5.A.A3.2AB.AB3.B
A.B2A$23.B2A2B4.A25.A96.A5.A96.A2B3.5B2.A.B32.2BABAB17.2A8BA11.A6.BAB
AB.BABAB$24.4B4.A.AB4.3B.3B.3B4.2A.A96.A.AB2A2.A95.B.A.3BA4BA3BA.B28.
4BAB19.2B2A3B18.4AB2AB2AB4A$24.4B5.2AB.14B2AB.2BA98.A.A.AB2A91.B.A3BA
B.2AB2A2.A3B4A27.BABAB20.2BA.A2B18.A4.B.A.B4.A$7.2A14.2B2A8.11B3A2B2A
3B102.A.B93.4A3BA2.5B4.A2.2B28.BAB2A17.4B.BAB.BA18.12A$6.B2AB13.AB2A
8.12B2A7B101.2A.A.2A91.2B2.A5.3A39.2BAB15.6B5.2AB15.A.A5.B4.2A$7.3B
12.BA2B9.13B3A3B2A.3D.D.D92.A2.2A.A101.5B40.B14.BAB2AB2AB2.BAB2A15.2A
3.6A$8.B2.2B.5B3.BA2B10.13BA3BAB2.D3.D.D90.A2.2AB.A2.A9.A89.5B53.2B2A
B2A2B2A2.3A2BA18.A.A4.A$6.8B2A5B.BA2BA30.3D.3D90.2A.A.B.A.2A7.3A89.B
3AB3.3D.D.D43.2BAB.3B.3B2.BABA.A17.A2B4A$6.4B2A2B3A2B2AB2.2A10.13BA3B
AB4.D3.D91.A.A.2A.A8.A93.3B6.D.D.D43.9B2AB4.A.ABAB12.2A.A.B.A$6.3B2A
4BABA2BAB13.13B3A3B2A.3D3.D91.A.A3B.A8.2A91.5B3.3D.3D43.2B2A2B.2B2A2B
4.A2B3A11.A2.A.A$2.2A2.4BAB2ABA3BA2B13.12B2A7B100.A3.A.2A5.4B91.5B3.D
5.D44.B2A9B5.2ABAB13.2A.2A$.B2A2B.4B2A3BA5B13.11B3A2B2A3B101.4AB.A2B
2.BAB93.5B3.3D3.D44.3B.3B.BA2B5.B2A$2.4B3.5B.2B2.B13.2AB.14B2AB.2BA
103.2A4B.ABAB83.AB2.B5.3B56.2A2B2AB2A2B6.AB$2.4B12.3B11.A.AB4.3B.3B.
3B4.2A.A98.4A2.A2B.2B2AB.2A79.A3B3AB2.5B4.B2.BA46.B2AB2ABAB$.2B2A4.3D
.3D2.B2AB10.A25.A98.A2.A.2A2.7B2A80.A.5AB.B3AB2.B3A3BA46.6B$.AB2A4.D
3.D5.2A10.2A25.2A102.A4.7B85.A.B.8B5A.A47.4B$BA2B5.3D.3D144.A.A4.3B2A
2B20.2A62.B2A3.BABAB2.B.A$BA2B7.D.D.D42.4A98.2A5.2B2A2B19.3A5.2A57.2A
4.BAB4.2AB$BA2BA4.3D.3D41.A4.A103.5BA2B17.A4.A2.A2.A62.B6.2A$2.2A53.
5A103.4B2.4B12.2A.A.4A.A2.A.A61.2A$151.2A5.2A4.4B4.4B12.A.A.B2.A.3AB.
2A55.2A.A4BA.2A$59.A9.3D.3D9.A66.A5.2A2B.4B6.4B11.A.A.BA2BA3.A.A56.A
2.6B2.A$58.A.A8.D3.D10.A.A65.A.AB3.7B8.4B6.2A.2A.2ABA2.2AB2A.A57.2A6B
2A$59.A9.3D.3D9.A67.2AB.8B10.4B5.A4.AB3.2A3.B.2A.A52.3A2.6A2.3A137.A
7.A4.D.D.3D$64.A6.D3.D4.A74.2B2A5B12.4B5.3A.A.3A2.2A.A3.A.A51.A2.A.6B
.A2.A136.A.A5.A.A3.D.D3.D$57.5A2.3A2.3D.3D2.3A2.5A67.BABA5B13.4B6.2AB
2A2.A2.A.2A.A2.A52.2A4.2B4.2A137.BA2B3.2BAB3.3D3.D$56.A4.A5.A9.A5.A4.
A67.BA6BA13.4B6.3B3.2A7.2A205.2B5.2B6.D3.D$55.A.BAB6.2AB7.B2A6.BAB.A
68.4BABAB13.4B5.3B79.4A136.3B3.3B6.D3.D$52.A2.A.2AB6.4B5.4B6.B2A.A2.A
64.B.B3.2A2B13.2B2A3.B.B79.A4.A130.4B.BA2B.2BAB.4B$51.A.A.A.4BA5.B3A
3.3AB5.A4B.A.A.A62.3B5.4B13.BABA4B81.5A128.2BA5BA2B.2BA5BA2B$52.A2.A
3.BABA5.3B3.3B5.ABAB3.A2.A49.2A7.2A3.3B6.4B13.A6BAB212.2BA4BABAB.BABA
4BA2B$55.2A2.A2BA3.A4BA.A4BA3.A2BA2.2A51.A2.A.2A.A2.A2.2AB2A6.4B13.5B
ABAB80.A12.A117.2BA5BA2B.2BA5BA2B$60.2A4BA4BA.A4BA4B2A56.A.A3.A.2A2.
3A.A.3A5.4B12.5B2A2B80.3A8.3A115.2AB.6BA2B.2BA6B.B2A$62.4BA4BA.A4BA4B
59.A.2A.B3.2A3.BA4.A5.4B10.8B.B2A81.A6.A117.A.AB3.7B.7B3.BA.A$61.11B.
11B60.A.2AB2A2.AB2A.2A.2A6.4B8.7B3.BA.A79.2A6.BA116.A7.6B.6B7.A$62.6B
3AB.B3A6B61.A.A3.A2BAB.A.A11.4B6.4B.2B2A5.A79.5BA3BA115.2A8.5B.5B8.2A
$60.2A10B.10B2A58.2A.B3A.A2.B.A.A12.4B4.4B4.2A5.2A80.6B127.5B.5B$55.
2A2.A2BA3.6B.6B3.A2BA2.2A54.A.A2.A.4A.A.2A12.4B2.4B90.B.3BA5BA.B120.
2A.5B.5B.2A$52.A2.A3.BABA3.6B.6B3.ABAB3.A2.A51.A2.A2.A4.A17.2BA5B90.
2A4BA5B4A119.2A.5B.5B.2A$51.A.A.A.4BA4.6B.6B4.A4B.A.A.A51.2A5.3A19.2B
2A2B5.2A84.2A4BA5B4A122.5B.5B$52.A2.A.2AB7.5B.5B7.B2A.A2.A58.2A20.2B
2A3B4.A.A85.3B.3B3A.3B113.2A8.5B.5B8.2A$55.A.BAB5.6B3.6B5.BAB.A83.7B
4.A88.B.B6.B.B115.A7.6B.6B7.A$56.A4.A3.2A.B7.B.2A3.A4.A83.2A7B2.2A.A
2.A86.3B3A4.3D.3D107.A.AB3.7B.7B3.BA.A$57.5A4.A11.A4.5A84.2A.B2A2B.2B
A2.4A5.D.D.3D72.3BA5BA4.D.D.D108.2AB.6BA2B.2BA6B.B2A$64.A.A.A7.A.A.A
94.BABA.4B2A9.D.D.D.D72.3BA5BA2.3D.3D110.2BA5BA2B.2BA5BA2B$59.A3.A.A.
2A7.2A.A.A3.A90.BAB2.2BA.B4A5.3D.3D73.2BA3BAB3.D3.D.D110.2BA4BABAB.BA
BA4BA2B$58.A.A2.A.A13.A.A2.A.A87.4B5.2A.A3.A6.D3.D75.4B5.3D.3D110.2BA
5BA2B.2BA5BA2B$59.A4.2A13.2A4.A88.2A8.A.3BA.A5.D.3D71.3B6.B2A120.4B.B
A2B.2BAB.4B$175.A8.A.2A.A.A80.3AB6.3AB124.3B3.3B$172.3A7.2A.A.B.A.2A
79.3A.A4.A.2AB124.2B5.2B$172.A9.A2.A.B2A2.A79.BA.A.A2.A.A.2B123.BA2B
3.2BAB$184.A.2A2.A83.A2.A2.A2.A125.A.A5.A.A$183.2A.A.2A85.2A4.2A127.A
7.A$186.B.A$183.2ABA.A.A88.4A125.5A$183.A2.2ABA.A86.A4.A4.B113.B4.A4.
A$185.A5.A87.4A4.3B111.3B4.4A$183.A.6A96.3B111.3B$182.A.A3.A92.2A2.7B
107.7B2.2A$182.A2.A93.2B2AB.7B107.7B.B2A2B$183.2A94.4B2.7B107.7B2.4B$
279.6B.5B109.5B.6B$279.40BA2BA22B.22BA2BA40B$281.4B.11B4A22BA21B.21BA
22B4A11B.4B$280.16BA3BA18BA3BA18BA2B.2BA18BA3BA18BA3BA16B$280.20BA19B
4A18BABA.ABA18B4A19BA20B$279.17BA2BA42B2A3.2A42BA2BA17B$280.5B.5B4.4B
40.4B5.4B40.4B4.5B.5B$279.6B.6B4.4B38.4B7.4B38.4B4.6B.6B$279.2B3AB.B
3A2B5.4B36.4B9.4B36.4B5.2B3AB.B3A2B$279.BA2BAB.BA2BAB6.4B34.4B11.4B
34.4B6.BA2BAB.BA2BAB$279.5BA.A5B7.4B32.4B13.4B32.4B7.5BA.A5B$279.5BA.
A5B8.2B2A30.4B15.4B30.2A2B8.5BA.A5B$279.5BA.A5B9.2A2B28.4B17.4B28.2B
2A9.5BA.A5B$279.BA2BAB.BA2BAB10.BA2B26.4B19.4B26.2BAB10.BA2BAB.BA2BAB
$279.2BA3B.3BA2B11.4B24.A3B21.3BA24.4B11.2BA3B.3BA2B$279.6B.6B12.4B
22.A3B23.3BA22.4B12.6B.6B$280.5B.5B14.4B20.B3A25.3AB20.4B14.5B.5B$
279.13B14.4B18.4B27.4B18.4B14.13B$280.8BA3B15.4B16.4B29.4B16.4B15.3BA
8B$280.6B2AB2AB16.4B14.4B31.4B14.4B16.B2AB2A6B$281.4B.5B18.4B12.4B33.
4B12.4B18.5B.4B$279.7B2AB2AB18.4B10.4B35.4B10.4B18.B2AB2A7B$279.6B.A
3BA20.3BA8.4B37.4B8.A3B20.A3BA.6B$279.4B2.2B3A2B20.B2AB6.4B39.4B6.B2A
B20.2B3A2B2.4B$279.2B2AB.7B21.ABAB4.4B41.4B4.BABA21.7B.B2A2B$281.2A2.
7B22.4B2.4B43.4B2.4B22.7B2.2A$287.3B25.4BA3B19.D.D.3D19.3BA4B25.3B$
287.3B26.3BABA20.D.D.D22.ABA3B26.3B$288.B28.2B2A21.3D.3D21.2A2B28.B$
287.3B26.6B22.D.D.D20.6B26.3B$287.3B25.8B21.D.3D19.8B25.3B$281.2A2.7B
22.4B2.4B43.4B2.4B22.7B2.2A$279.2B2AB.7B21.4B4.4B41.4B4.4B21.7B.B2A2B
$279.4B2.7B20.4B6.4B39.4B6.4B20.7B2.4B$279.6B.5B20.4B8.2B2A37.2A2B8.
4B20.5B.6B$279.13B18.4B10.2A2B35.2B2A10.4B18.13B$281.4B.5B18.4B12.BA
2B33.2BAB12.4B18.5B.4B$280.12B16.A3B14.4B31.4B14.3BA16.12B$280.12B15.
A3B16.4B29.4B16.3BA15.12B$279.13B14.B3A18.4B27.4B18.3AB14.13B$280.5B.
5B14.4B20.4B25.4B20.4B14.5B.5B$279.6B.6B12.4B22.4B23.4B22.4B12.6B.6B$
279.2B3AB.B3A2B11.4B24.4B21.4B24.4B11.2B3AB.B3A2B$279.BA2BAB.BA2BAB
10.4B26.4B19.4B26.4B10.BA2BAB.BA2BAB$279.5BA.A5B9.4B28.4B17.4B28.4B9.
5BA.A5B$279.5BA.A5B8.4B30.3BA15.A3B30.4B8.5BA.A5B$279.5BA.A5B7.4B32.B
2AB13.B2AB32.4B7.5BA.A5B$279.BA2BAB.BA2BAB6.4B34.ABAB11.BABA34.4B6.BA
2BAB.BA2BAB$279.2BA3B.3BA2B5.4B36.4B9.4B36.4B5.2BA3B.3BA2B$279.6B.6B
4.A3B38.4B7.4B38.3BA4.6B.6B$280.5B.5B4.BABA40.4B5.4B40.ABAB4.5B.5B$
279.17B2A11B2A33B3.33B2A11B2A17B$280.8BA19B4A21B2A10B.10B2A21B4A19BA
8B$280.6B2AB2A17B2AB2A18B2AB2A9B.9B2AB2A18B2AB2A17B2AB2A6B$281.4B.24B
2A19B4A10B.10B4A19B2A24B.4B$279.7B2AB2A41B2A11B.11B2A41B2AB2A7B$279.
6B.A3BA109.A3BA.6B$279.4B2.2B3A2B107.2B3A2B2.4B$279.2B2AB.7B107.7B.B
2A2B$281.2A2.7B107.7B2.2A$287.3B111.3B$287.3B111.3B$288.B113.B!

User avatar
BlinkerSpawn
Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Thread For Your Useless Discoveries

Post by BlinkerSpawn » August 3rd, 2015, 11:15 am

velcrorex wrote:A certainly useless p7 oscillator.

Code: Select all

RLE
Reduced its population by 25 and bounding box by 5 cells per side.

Code: Select all

x = 28, y = 28, rule = B3/S23
22b2o$15b2ob2obo2bo$9bo3bo2bobo3bobo$10bo2b2obo3b2o2b2o$7bo2bo5b4obobo
2bo$7b3o3b3o5bo2bobo$12bo2bo2bo2bo2bob2o$4b2o7b2o2bobobob2obo$5bo9b3o
6bobo$2bo2bo7b2o3b6o2b2o$3b2o7bobo2bo3bo4bo$11bo5b2o8bo$6bo3bo15b2o$2b
2obobobo$3bobobob2o$bo3b2obo$b4o3bo$4bo2b2ob2o$b2obobo2bobo$bo2bo2bobo
$3bo5bo$bob5ob2o$obo6bo$o3bo2bobo$b3ob4o$3bo$4b7obo$6bo2bob2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Image

User avatar
Billabob
Posts: 146
Joined: April 2nd, 2015, 5:28 pm

Re: Thread For Your Useless Discoveries

Post by Billabob » August 3rd, 2015, 11:48 am

gameoflifeboy wrote: Where's period 43?
Oops. Image I should really start using my brain.
gameoflifeboy wrote:EDIT: I couldn't find 52 or 53 either. Here I labeled the periods I could find:

Code: Select all

rle
Again, oops. I don't have an excuse. Sorry... Thanks for pointing out the missing periods, and also for labeling the monstrosity.
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User avatar
gmc_nxtman
Posts: 1149
Joined: May 26th, 2015, 7:20 pm

Re: Thread For Your Useless Discoveries

Post by gmc_nxtman » August 9th, 2015, 12:03 am

Here are some catalysts for x66 and loafer.

Code: Select all

x = 21, y = 68, rule = B3/S23
6bo$7b2o$o2b3o2bo2b2o$b3o4bo2bobo$b2o2b3o5bo2bo$12b2obobo$b2o2b3o5bo2b
o$b3o4bo2bobo$o2b3o2bo2b2o$7b2o$6bo3$16bobo$15bob2o$6bo8bo$7b2o5b2ob2o
$o2b3o2bo3bo3bobo$b3o4bo3b4o$b2o2b3o$14b2o$b2o2b3o7bo$b3o4bo2b2o2bobo$
o2b3o2bo2b2o3b2o$7b2o$6bo5$o$3o$3bo$2b2o4$b2obo2b2o3b2o$2b2o2bo2bobobo
$6bobo3bo$7bo$bo$b3o$4bo$3bo$b2o2$6b2obo$6b2ob3o$12bo$6b2ob3o$5bo2b2o$
5b2o6$2obo2b2o3b2ob2obob2o$b2o2bo2bo2b2obob2obo$5bobo6bo4bo$6bo7bob2ob
2o$o12b2o2bo$3o9bo2bobo$3bo8b2ob2o$2bo10bo$2o11bob2o$14bobo!
My notes:

1. Stable X66 eater. Is this the first? I think I vaguely recall seeing someone build a one-time x66 to glider converter, and then rebuilding the bait but now I'm not sure. If it hasn't been done it would be entertaining to do.

2. Probably useless, but it makes for an X66x3 to B converter, (the dictionary definition of useless might need updating now!)

Code: Select all

x = 75, y = 13, rule = B3/S23
72bobo$71bob2o$6bo26bo28bo8bo$7b2o25b2o27b2o5b2ob2o$o2b3o2bo18bo2b3o2b
o20bo2b3o2bo3bo3bobo$b3o4bo19b3o4bo21b3o4bo3b4o$b2o2b3o20b2o2b3o22b2o
2b3o$70b2o$b2o2b3o20b2o2b3o22b2o2b3o7bo$b3o4bo19b3o4bo21b3o4bo2b2o2bob
o$o2b3o2bo18bo2b3o2bo20bo2b3o2bo2b2o3b2o$7b2o25b2o27b2o$6bo26bo28bo!
3. Small, almospartan loafer eater. Probably been found before.

4. Loafer-to-something, which might be able to turn into a Loafer-to-G or Loafer-to-H/B and possibly a Loafer reflector if someone decides to spend time on a G-to-Loafer. Probably useless.

Also:

I'll try to search for more nonstandard spaceship catalysts. 25P3H1V0.2 is having a hard time with max-live 20, max-active 10, and repair-interval 10. Perhaps somebody could do the larger ships? EDIT2 I'm now doing brain, so far nothing. Later I'll do 37P4H1V0, Coe ship, Schick engine, Big A, Pushalong 1, Dart, and 64P2H1V0.

EDIT So far only found one solution, this near transparent beehive:

Code: Select all

x = 16, y = 10, rule = B3/S23
6b2o$5bo2bo$6b2o3$7b2obo$4b2obob2ob3o$b4o2b2o6bo$o4bo3bo3b2o$b2o!
Last edited by gmc_nxtman on August 9th, 2015, 2:48 pm, edited 1 time in total.

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BlinkerSpawn
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Re: Thread For Your Useless Discoveries

Post by BlinkerSpawn » August 9th, 2015, 9:30 am

gmc_nxtman wrote:So far only found one solution [for 25P3H1V0.2], this near transparent beehive:

Code: Select all

RLE
Just add an eater for full catalysis.

Code: Select all

x = 20, y = 11, rule = B3/S23
18b2o$6b2o10bo$5bo2bo7bobo$6b2o8b2o3$7b2obo$4b2obob2ob3o$b4o2b2o6bo$o
4bo3bo3b2o$b2o!
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M. I. Wright
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Re: Thread For Your Useless Discoveries

Post by M. I. Wright » August 9th, 2015, 9:31 pm

Was trying to find a two- or three-glider salvo to push a block three units when I stumbled upon this pre-honeyfarm heisenburp -

Code: Select all

x = 16, y = 8, rule = B3/S23
2o$2o11b2o$13bobo$13bo2$9b3o$9bo$10bo!
I guess something could be done with it, as there's enough room for the boats to reflect a glider 90 degrees, but both patterns are annoying to clean up.

(By the way, does a 2- or 3-glider 3-unit-push salvo exist? The best I could find by hand was 2o3b2o$2o3bobo$5bo4$4b2o$4bobo$4bo10$19b2o$19bobo$19bo4$19b3o$19bo$20bo! in four gliders [block->blinker->loaf->block]. I tried using gencols, but -filt, -leq and -geq seem to have no effect on the output - I'm using the executable dvgrn posted in 2013 - and I'd rather not have to manually search through the results.)
Last edited by M. I. Wright on August 10th, 2015, 5:08 pm, edited 2 times in total.
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gmc_nxtman
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Re: Thread For Your Useless Discoveries

Post by gmc_nxtman » August 10th, 2015, 4:33 pm

Right is a stable 30P5H2V0 eater(first?), left is a 30P5H2V0 -> wing converter (useless) which someone may be able to coax a herschel or glider out of.

Code: Select all

x = 132, y = 21, rule = B3/S23
4bo$3bobo$3bobo$2obobob2o113b2o$obobobobo113bo$2bo3bo112b2obo8bo$b2o3b
2o111bobo7b3o$128bo$128b2o$120bo$4bo114b3o$3b3o112b2ob2o$2b2ob2o$117bo
bobobo2bo$bobobobo2bo105b2o3bo3b3o$2o3bo3b3o104b2o3bo6bo$2o3bo6bo113bo
bo$10bobo111bobo$8bobo114bo2bo$9bo2bo115bo$12bo!
EDIT Another eater:

Code: Select all

x = 33, y = 22, rule = B3/S23
$15b2o5b2o$15bo7bo$16b3ob3o$18bobo$25b2o$25b2o$19bo$18b3o$17b2ob2o2$
16bobobobo2bo$15b2o3bo3b3o$15b2o3bo6bo$25bobo$23bobo$24bo2bo$27bo!

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