b3ai4s23

[DroneBetter]

Edit: We have a wiki page, User:DroneBetter/B3ai4/S23!

I wanted to see what b4s23 would be like, but added the 3a and 3i because they're the maximal transitions such that patterns can escape their bounding diamonds and boxes respectively.
It is a rule with a great many natural oscillators comprised of still lifes perturbing Life's traffic light predecessor (that, in this rule, is instead the most common predecessor of xp21_ehhhe). The loaf is the successor of one with a corner cell missing, that is also a common evolutionary sequence that produces a clean explosion,

Code: Select all

x = 3, y = 3, rule = B3ai4/S23
3o$obo$2o!

. It is hassled by still lifes in many oscillators of its own, but also the only natural spaceships, xq20_0357xccz253 (a c/20) and its two variants with beehives acting as period-doubling pushalongs at two different offsets.
There is also a seminatural linear growth pattern, an (8,8)*c/58 puffer comprised of two separate halves, each with a glide-symmetric loaf frontend, that are separate but stabilise each other, they can be displaced in a few ways, causing several variants. yl58_1_8_55a95d61dacd0e04fb9e8a38f38fa305, yl58_1_22_50e18ebfe66e6a7815b2f0522722c56a and yl58_1_48_28c7b679b03ed08e57ca12bdf19630f1 are some, I can't link the others due to Catagolue's object page not identifying linear growth patterns
here is its least messy version's minimal form

Code: Select all

x = 28, y = 28, rule = B3ai4/S23
7b2o$9bo$7bobo$b2o5b2o$o2bo$obo$bo$4b2o$3bo$4b2o9$24b3o$24bo2bo$25bobo
2$18bobo$18bobo$19bo3bo$22bobo$21bo2bo$22b2o!

and a single half being stabilised by a column of puffed blocks (converting it to one of blinkers and blocks), that is also able to eat blocks from a different one

Code: Select all

x = 86, y = 92, rule = B3ai4/S23
19bo$20bo$20b2o$12b2o5b2o$11bob2o$11b3o$3b2o7bo$4b2o9bo$2b3o9bobo$obo
12bo$3o5bo$bo5b3o$7bobo$5b3o5bo2bo$4b2o7bo2bo$5b2o5bo2bo$14bo$10bo3bo
21bo$10bo4bo19b3o$11b4o20bo2bo3$2b2o3bo16b2o4bo$2b2o2b3o11bo2bo5bobo$
6bobo10bob2o7bo3bo$2bo16bo4b2o7b3o$bobo15bo3bo8b2obo$bobo15bo13b2o$2bo
17b2o$26b2o$14b2o11b2o$15b2o8b3o$14b2o7bobo$23b3o5bo$24bo5b3o$11b2o2b
2o13bobo29b2o$10bo2bob2o11b3o33bo$11b2o14b2o33bobo$28b2o26b2o5b2o$22b
2o31bo2bo$22b2o31bobo$56bo$59b2o$58bo$59b2o2$30bo$14b2o13b3o$14b2o12bo
b3o$27bo3b3o$26b3o3bo$27b3obo$24bo3b3o$23b3o3bo49b3o$11b5o6b3o54bo2bo$
10b6o5b3o56bobo$11b4o7bo7bobo$25b3obo2bo40bobo$7b2o5bo9bo3bo2bo41bobo$
6b4o2b2o10bo5bo43bo3bo$5b3o5bobo8bo4bo47bobo$4b3o7bo10bo2bo47bo2bo$26b
2o49b2o2$2b3o9$82b2o$66b2o13bo2bo$66b2o13bo3bo$85bo$80bo4bo$78b2obo$
79b2ob3o$79bo$78b2o$70b3o3b3o$62b2o6bobo4b2o$63b2o6b2o2bo2bo$62b2ob2o
7bob3o$62b2o9b3ob2o$64b2obo$67b2o$66b2o10bo$77b3o$78bo!

It is unknown whether there exist any variants with the halves phase-shifted, or a corderoid, though it seems very likely (perhaps a script like was used to make sep_stdin could be used, but Cyclotrons' apgsearch stdin script only supports spaceships, not objects with infinitely many phases).
Known oscillatory periods (entirely from apgsearching, key: elementary, LCM, perhaps LCMable (all factors that are exponents of primes are known to exist), unknown):
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,[...],60,[...],76,[...],130,[...]
Known spaceship speeds:
(c/3,2*c/6),c/4,(c/20,2*c/40),(8,8)*c/58
Here is the collection of oscillators and spaceships thus far (excluding most LCMs, I didn't want to add rows including only them)

Code: Select all

x = 159, y = 705, rule = B3ai4/S23
18b2o2b2o2b2o7bo9bo$18b2o2b2o2b2o5b2ob2o5b2ob2o$42bo5bo$32bob3obo3bob
3obo$26b2o4bob3obo2bo2b3o2bo$26b2o4bob3obo3bob3obo$42bo5bo$33b2ob2o5b
2ob2o$18b2o2b2o2b2obo5bo9bo$18b2o2b2o2bo3bo$27b2obo13bo2b3o$27b2o14bob
o$18b2o7bo5b3ob3o2bob2obo$18b2o23b3obo$35bobo10bo$42bob2obo$18b2o2b2o
2b2ob3ob3ob3o2bo3bo$18b2o2b2o2b2o14bo11b2o$51bobo2bo35b2o$45b2o3bob3o
39bo$45b2o5bo3bo35bo2bo$18b2o2b2o2b2o2b2obob2o3b2ob2o4bo2bo2b2o36bo2bo
2bo$18b2o2b2o2b2o2bo5bo4bo2bo4b2o43bo2bob2o$31b2ob2o5b2ob2o49bobobo$
31bo3bo3b2o57bo$26b2o3b5o3b2o7b2o6bo38bo2bo$26b2o2bo5bo13bo5b2o2b2o35b
o$31b2ob2o12bo2b3o4bo3bo5b2o25b2o$33bo4b2o12b3o3bo3bob2o2b2o5b2o$18b2o
2b2o2b2o10bobo2b2o8bo3b2obo2b3obobo7bo14b2o$18b2o2b2o2b2o11bob2obo5b3o
3bobobo6b3o7b2o15bo$42b2o5bo3bo3b2obo2b3ob2o2bo5bo14bo2bo$33bo5b2o2bo
4bo3b3o3bo3bob2o4b2o2b4o8b2o5bo2bo2bo$26b2o4bobo6bo2bo3bo2b3o4bo3bo6bo
bo3b2obo7bob2o4bo2bob2o$26b2o4bo5bo2bobobo4bo5b2o2b2o7bobo3bo3bo4b3o3b
obo2bobobo$31bo2bo3b2o4b2o2b2o6bo16b2obo2b2ob2o2bobobo2bo4bo$33bo37b2o
6b2ob2o2bobobo2bobo2bo$18b2o2b2o2b2o3bobo44b2o4b3o3bobo4bo$18b2o2b2o2b
2o4bo4b2o10b2obob2o22b2o6bob2o5b2o$36bobo10bobobobo30b2o$37bo12b2ob2o$
38bo13bo5b2o5b2o$18b2o6b2o6b2o3bo10b2ob2o3bobo3bobo$18b2o6b2o6b2o4b2o
2b2o3bobobobo3b3ob3o17bo$29b4o6b3o2bobo2b2obob2o4bo3bo14b2ob3o$28b2o2b
2o6bo4bo13b2o3b2o11b4o2bo$18b2o6bob2o2b2obo5bo4bo11b2o2bo2b2o9b2o$18b
2o6b2o6b2o6bo4bo4b2o3bobo2bo2bobo3b2o2b6o2bo$41bobo2b3o3bobob4o5b4obob
obobo3bo2bo$31b2o3b2o3b2o3b2o5b4o11b4o8bo3b2o$18b2o2b2o2b2o2b4o2bobo9b
o5bo15bo5bobobo2b3ob3o$18b2o2b2o2b2o10b2o9b2o6b2o7b2o10b3o6b3o$40bo7bo
5bo15bo5bobobo2b3ob3o$41bo4b2o5b4o11b4o8bo3b2o$26b2o3b2o3b3ob3o3b3o3bo
bob4o5b4obobobobo3bo2bo$26b2o3b2o8bo5bo4b2o3bobo2bo2bobo3b2o2b6o2bo$
29bo10bo5bo11b2o2bo2b2o9b2o$28b3o7b2o5bo13b2o3b2o11b4o2bo$26bob3obo3bo
bo5bobo13bo3bo14b2ob3o$26b2o3b2o3b2o6b2o13b3ob3o17bo$58bobo3bobo$58b2o
5b2o2$18b2o2b2o2b2o$18b2o2b2o2b2o3$18b2o$18b2o13b3o7b3o$32bobobo5bobob
o$32bobobo5bobobo$18b2o2b2o2b2o3bo2bo2bo3bo2bo2bo$18b2o2b2o2b2o3b7o3b
7o$30bo7bo52b2o$31b7o4b5o42bo3bo$26b2o3bo2bo2bo4bo3bo42bo4bo$26b2o4bob
obo6bobo43bo3bo$32bobobo7bo45b2obo$33b3o56bo$18b2o2b2o2b2o$18b2o2b2o2b
2o70b2o$91b2o5b2o$80bo11b2o$78bo3bo8b2o$18b2o2b2o2b2o50bo3bo8bo$18b2o
2b2o2b2o52bo5bo8b2o$86b2o6b4o$85b2obo$18b2o64b2o3bo16b2o$18b2o39b2o22b
2obob3o15b2o$58bo2bo19b3obob2o$82bo3b2o8b2o$18b2o2b2o2b2o31bobo21bob2o
9b2o$18b2o2b2o2b2o31bobo22b2o8bo2bo$85bo8bo$30b2o4b2o56bo3bo$18b2o6b2o
2bobo2bo59b2o3bo13b2o$18b2o6b2o3bo3bo2bo39b2o17bo16b2o$32bo2bo2bo38bob
o18b3o$31bo3bo2bo38b3o$18b2o2b2o2b2o2bobo2bo$18b2o2b2o2b2o2b2o4b2o2$
61b2o7b2ob2o$61b2o2b2o2b4o49b2o$18b2o2b2o2b2o37bobobo10bo2bo38b2o$18b
2o2b2o2b2o37bo2bo2bo4bo3b4o$16bo49b2o7bo6bobo$15b3o18b2o36b2o7bo2b2o$
13b4o9b2o2b2o4b2o4b2o4bo4b2o19b2o6bo5bo$14b2o3b2o5b2o2b2ob3o2b3ob2o3bo
bo3b2o20bo6bo5bo$13b2o4b2o11bo8bo4bo3bo18b2o11bo4bo$31bo10bo3bo3b2o17b
2o13b3o43b2o$26b2o3bo2b2o2b2o2bo4bo3b2o77b2o$13b2o11b2o3bo2bo4bo2bo5b
2o3bo$12bo2bo13b2o12b2o4b2o3bo$13b2o14b2o12b2o5bo3bo$26b2o3bo2bo4bo2bo
3b2o3bobo$26b2o3bo2b2o2b2o2bo3b2o4bo7b2o$31bo10bo18b2o16bo$32bo8bo17b
3o16b3o57b2o$26b2o2b2ob3o2b3ob2o35bo58b2o$26b2o2b2o4b2o4b2o19bo$36b2o
24bobo3b2o$62bobo3b2o4b3ob2o4bo$63bo11bob3o3bo63b3o$18b2o2b2o2b2o8b2o
2b2o2b2o3b2o2b2o2b2o13b2o2bo2bo$18b2o2b2o2b2o8b2o2b2o2b2o3b2o2b2o2b2o
12bobo4b2o66b5o$71b3o3b3o65bo4bobo$79b2o63bo5bobo$26b2o16b2o3b2o14b2o
13bo62bo6bobo$26b2o16b2o3b2o14b2o13b2ob3o49b2o4b2o7bo$79b2obo51bo2bo3b
2o6bo$81bo4bo48b2o3b2o6bobo$26b2o8b2o2b2o2b2o3b2o2b2o2b2o27bo52b3o6bob
o$26b2o8b2o2b2o2b2o3b2o2b2o2b2o23bo3bo57bo3b3o$82bo2bo54b3o$83b2o54bob
2o$26b2o8b2o19b2o14b2o64bo2bo9b2o$26b2o8b2o19b2o14b2o65b2o12bo$126bo
13b3o9b2o$125bobo21b3o$26b2o3b2o3b2o2b2o2b2o3b2o2b2o2b2o66bobo22b2o$
26b2o3b2o3b2o2b2o2b2o3b2o2b2o2b2o67bo24b2o$153bobo$128bo2b2o21b2o$127b
2obo2b2o20bo$18b2o2b2o2b2o38bo58b4ob2ob2o$18b2o2b2o2b2o37b2o17bo40b2o
3b3obo$65bo17b2o39bo$66bo5b2o8b4o37bo5bo$18b2o6b2o37b3o4b2o7b3ob2o35bo
$18b2o6b2o54b2ob3o33bo$65bo3bo10bo2bo3b3o29bobo$66bo12bo3bo4bo30bobo5b
3o$18b2o2b2o2b2o36bobo12bo7bo38bo2bo5bo$18b2o2b2o2b2o51bo3bo39b3ob3o5b
2o$69b2o9b3o35bo16b3o$35b2o32b2o14b3o29b2o4b2o7bobo2bo$18b2o6b2o7b2o
47bo3bo29b3o11bobo3bo$18b2o6b2o4b2o50bo4bo16b2o7bo3bo13bo5bo$31bo2bo
49bo4bo15bo2bo5b3o21b3o$31b2obo50bo3bo16b2o5b2o2bo2bo$18b2o2b2o2b2o2bo
b2o52b3o25bo2bo2bo$18b2o2b2o2b2o2b2o82bobo3bo$77b2o35b2o$52b2o23b2o31b
2ob2o$51bo2bo56b3o10bo$13b2o11b2o24b2o58bo8bo2b2o$13b2o11b2o69bo22bo2b
o2bo$96bobo20bo3bo$96bobo24bo3bo$13b2o11b2o23b2o44bo26b2ob2o$13b2o11b
2o6bobobo6bo4bobo32b2o39bo$33bobobobo4bobo3b3o32b2o15bo19bo$32bo7bo3bo
bo8b2o45b2o18bo$13b2o11b2o3bo9bo3bo8bobo46b2o$13b2o11b2o2bo11bo10bobo
8bo33bo3b2o$31bo4bo4bo11b2o8bobo31b6o$30bo4b3o4bo14b3o3bobo30b2o3bo$
13b2o11b2o3bo4bo4bo15bobo4bo32bo2bo$13b2o11b2o2bo11bo14b2o35bo3b2o$31b
o9bo51b3o$32bo7bo51b2ob2o9bo$13b2o11b2o5bobobobo53b3o2b3o4bo$13b2o11b
2o6bobobo17b2o36bo9bo$55bo2bo51b2o$56b2o47b3o$103b2o3bo$13b2o3b2o2b2o
2b2o76bo3bo$13b2o3b2o2b2o2b2o77bo3bo$107b2o$108bo$13b2o11b2o$13b2o11b
2o3$13b2o3b2o2b2o2b2o$13b2o3b2o2b2o2b2o2$38bo$13b2o3b2o17bobo$13b2o3b
2o17bo$36bo2bob4o$32b2o4bo3b2o$13b2o3b2o2b2o2b2o3b4obobo$13b2o3b2o2b2o
2b2o9bo3$37b2o$13b2o3b2o2b2o2b2o9bobo$13b2o3b2o2b2o2b2o10bo$64b2o$39bo
24b2o$13b2o11b2o10b3o$13b2o11b2o11bo13b2o4b2o$49b2o2b2o3bo2bo$45bo2bob
o7bo3b3o$13b2o3b2o2b2o2b2o16b3o2bo8bo6bo$13b2o3b2o2b2o2b2o7bo9bo11bo2b
2o3bo$31bo2b3o19bo3b2o2bo$30bobo2bo20bo6bo$13b2o11b2o2b2o25b3o3bo$13b
2o11b2o13bo18bo2bo3b2o$40b3o18b2o4b2o$41bo$13b2o3b2o2b2o2b2o28b2o$13b
2o3b2o2b2o2b2o14bo13b2o$41bobo$42b2o2$13b2o3b2o6b2o11b2o8b2o12b2o$13b
2o3b2o6b2o10bobo2b2o4b2o12b2o$39bo3b2o7b2o13b2o$52b2o13b2o$13b2o3b2o6b
2o6b3o9b3o11b3o$13b2o3b2o6b2o6bobo9bobo7bo2bob2o$34b3o9b3o11b3o6b3o$
69b2obo2bo$13b2o3b2o2b2o2b2o3bo14bo22b3o$13b2o3b2o2b2o2b2o2bobo12bobo
15b2o$30b2o13b2o16b2o$67b2o$13b2o11b2o39b2o$13b2o11b2o3$13b2o11b2o$13b
2o11b2o$37b2o14b2o$37b2o13bo2bo$53b2o$13b2o3b2o2b2o2b2o33b2o$13b2o3b2o
2b2o2b2o21b2o10b2o$49b2o$34b3o22bo5bo$13b2o3b2o15bo16b3o3b2o4bobo$13b
2o3b2o12bo3bobo14b2o2b3o4bobo$32b2o3b2o15bo10bo$32bobo3bo$13b2o3b2o2b
2o2b2o7bo6b2o3bo10bo$13b2o3b2o2b2o2b2o6b3o5b2o2bobo4b3o2b2o$46bobo4b2o
3b3o21b2o3b2o$47bo5bo28b2o3b2o$13b2o11b2o34b2o$13b2o11b2o9b2o11b2o10b
2o$37b2o11b2o28bo9bo$58b2o20b2o3bo3b2o$13b2o3b2o2b2o2b2o29bo2bo19b2o2b
obo2b2o$13b2o3b2o2b2o2b2o30b2o20bo2bobobo2bo$84bobo$85bo2$13b2o3b2o2b
2o2b2o$13b2o3b2o2b2o2b2o3b4o6b4o12b4o11b4o9bo9b4o$32b2o8b2o14b2o13b2o
9bobo9b2o$48b2o18b2o14bobo14b2o$13b2o3b2o11bo12bo3b2o7bo10b2o5bo9bo9bo
5b2o$13b2o3b2o10bobo10bobo10bobo15bobo4b2o5b2o4bobo$29bobobo8bobobo8bo
bobo13bobobo2bo2bo3bo2bo2bobobo$30bobo10bobo10bobo15bobo4b2o5b2o4bobo$
13b2o3b2o2b2o2b2o3bo12bo3b2o2b2o3bo6b2o2b2o5bo9bo9bo5b2o$13b2o3b2o2b2o
2b2o20b2o2b2o10b2o2b2o14bobo14b2o$32b2o8b2o14b2o13b2o9bobo9b2o$31b4o6b
4o12b4o11b4o9bo9b4o$13b2o3b2o6b2o$13b2o3b2o6b2o$85bo$84bobo$13b2o3b2o
2b2o2b2o52bo2bobobo2bo$13b2o3b2o2b2o2b2o52b2o2bobo2b2o$80b2o3bo3b2o$
80bo9bo2$13b2o3b2o2b2o2b2o$13b2o3b2o2b2o2b2o54b2o3b2o$82b2o3b2o2$13b2o
11b2o6b2o$13b2o11b2o5bo2bo$34b2o$30b2o$13b2o11b2o2bobo$13b2o11b2o3bo$
35bo$34bobo5bo58b2o3b2o$13b2o11b2o6bo2bo3bobo57bobobobo$13b2o11b2o7b2o
4bobo58bobobo$42bo$39bo$13b2o11b2o10bobo61b5o$13b2o11b2o11b2o60bo5bo
20bo$101bo5bo18b2obo2bo$103b3o20b2obobobo$86b2o4b2o26b2o4b2obobobo$13b
2o3b2o2b2o2b2o58bobo2bo27bo2bo5bobobo$13b2o3b2o2b2o2b2o25bo33bo3bo2bo
25b2o$52bobo33bo2bo2bo27bo$35b2o3b2o10bo9bobo22bo3bo2bo6bo17b3o5bo$13b
2o3b2o6b2o7b2o3b2o9bo2bo6bo3b2o19bobo2bo8b3o15bo3bo3b3o4b3o$13b2o3b2o
6b2o25bo8b2o3bo18b2o4b2o5b2ob2o5b2o4b2o2b3o3b2ob2o3b3o$51bobo10bobo33b
3o8bo2bobo2b3o4b3o3bo3bo$31b2o11b2o6bo48bo6bo2bo3bo11bo5b3o$13b2o3b2o
2b2o2b2o3b2o5bo5b2o12bo49bo2bo2bo17bo$13b2o3b2o2b2o2b2o9b3o17b3o48bo2b
o3bo17b2o$36b2ob2o15b2ob2o50bo2bobo5bobobo5bo2bo$37b3o17b3o49b2o4b2o4b
obobob2o4b2o$13b2o3b2o6b2o3b2o5bo5b2o12bo20b2o5b2o9b3o21bobobob2o$13b
2o3b2o6b2o3b2o11b2o18bo13bo2bo3bo2bo6bo5bo20bo2bob2o$50bobo10bobo13b2o
5b2o7bo5bo24bo$49bo3b2o8bo32b5o$13b2o3b2o2b2o2b2o7b2o3b2o8b2o3bo6bo2bo
$13b2o3b2o2b2o2b2o7b2o3b2o10bobo9bo14b2o5b2o$62bobo13bob2o3b2obo7bobob
o$63bo13b2obo5bob2o5bobobobo$78b2o7b2o6b2o3b2o15bo14bo14bo4bo$5b2o2b2o
2b2o3b2o2b2o2b2o88bobo3b2o7bobo3b2o7bobo2bobo3b2o$5b2o2b2o2b2o3b2o2b2o
2b2o15b2o18b2o37b2o13b2o2bobo8b2o2bobo7bobo3b2o2bobo$43b2o18b2o37b2o
17b3o12b3o8bo8b3o$49bo8bo13bo21bo13bo$13b2o3b2o6b2o20b3o6b3o6bo4b3o19b
3o4bo6b3o4bo$13b2o3b2o6b2o20bo2bo4bo2bo5bobo2bo2bo19bo2bo2bobo5bo2bo2b
obo$31b2o16b3o4b3o6bobo2b3o21b3o2bobo6b3o2bobo4b2o13b2o18b2o$31b2o17bo
6bo8bo4bo23bo4bo8bo4bo5b2o13b2o18b2o$5b2o2b2o2b2o3b2o6b2o$5b2o2b2o2b2o
3b2o6b2o94b3o$34bo$32b4o14bo6bo8bo4bo23bo4bo8bo4bo5b2o$5b2o11b2o6b2o4b
5o12b3o4b3o6bobo2b3o21b3o2bobo6b3o2bobo4b2o$5b2o11b2o6b2o9bo10bo2bo4bo
2bo5bobo2bo2bo19bo2bo2bobo5bo2bo2bobo$35b2o11b3o6b3o6bo4b3o19b3o4bo6b
3o4bo17bo$49bo8bo13bo21bo13bo22bobo3b2o8bo$5b2o2b2o2b2o3b2o2b2o2b2o11b
2o2b2o18b2o37b2o17b3o8b2o2bobo7bobo$5b2o2b2o2b2o3b2o2b2o2b2o11b2o2b2o
18b2o37b2o13b2o2bobo12b3o7bobo$116bobo3b2o23bo$78b2o7b2o28bo$77b2obo5b
ob2o$5b2o2b2o2b2o11b2o50bob2o3b2obo46b2o$5b2o2b2o2b2o11b2o51b2o5b2o47b
2o3$13b2o11b2o51b2o5b2o$13b2o11b2o50bo2bo3bo2bo31b2o$79b2o5b2o32b2o2$
5b2o2b2o2b2o11b2o7b3o$5b2o2b2o2b2o11b2o6bo3bo$33bo5bo81b3o$33bo5bo77b
2o2bobo$5b2o19b2o5bo5bo76bobo3b2o$5b2o19b2o6bo3bo78bo$35b3o2$5b2o2b2o
2b2o11b2o$5b2o2b2o2b2o11b2o2$37b2obob2o80b3o$37bo5bo$5b2o2b2o2b2o3b2o
2b2o2b2o11bobo$5b2o2b2o2b2o3b2o2b2o2b2o$38bo3bo$38bo3bo$13b2o11b2o12bo
76bo$13b2o11b2o2b2o8bo75bobo3b2o$29bobo7b3o75b2o2bobo$30bo9bo80b3o$5b
2o2b2o2b2o3b2o2b2o2b2o5b2o$5b2o2b2o2b2o3b2o2b2o2b2o5b2o$40bo$39b3o78b
2o$5b2o11b2o20bo79b2o$5b2o11b2o10bo$29b3o$30bo$5b2o2b2o2b2o3b2o2b2o2b
2o5b2o2b2o3b2o$5b2o2b2o2b2o3b2o2b2o2b2o5b2o2b2o3b2o$30bo$29bobo$29b2o
2b2o14b2o$33b2o14b2o4$36bo10bo$36b2o8b2o$5b2o2b2o2b2o3b2o2b2o2b2o9b2o
6b2o9b2o$5b2o2b2o2b2o3b2o2b2o2b2o28b2o2$31b2o18b2o$13b2o9b2o6b2o16b2o$
13b2o9b2o7bo4b2o4b2o4bo$38b2o4b2o2$5b2o2b2o2b2o3b2o2b2o2b2o$5b2o2b2o2b
2o3b2o2b2o2b2o2$38b2o4b2o$5b2o17b2o7bo4b2o4b2o4bo$5b2o17b2o6b2o16b2o$
31b2o18b2o$63b2o4b2o$5b2o2b2o2b2o3b2o2b2o2b2o28b2o5b2o4b2o$5b2o2b2o2b
2o3b2o2b2o2b2o9b2o6b2o9b2o$36b2o8b2o$36bo10bo14bo8bo$59b4o8b4o$5b2o2b
2o2b2o3b2o2b2o2b2o32b2o4b2o4b2o$5b2o2b2o2b2o3b2o2b2o2b2o37bo2bo$33b2o
14b2o15b2o$33b2o14b2o$13b2o11b2o$13b2o11b2o25bo9b2o4b2o9bo$53b2o8b2o4b
2o8b2o$53b2o24b2o$5b2o2b2o2b2o11b2o24b2o26b2o$5b2o2b2o2b2o11b2o20b2o9b
2o12b2o9b2o$48b2o9b2o12b2o9b2o$55bo22bo$5b2o19b2o26bobo20bobo$5b2o19b
2o26bobo20bobo$55bo22bo$48b2o9b2o12b2o9b2o$5b2o2b2o2b2o11b2o20b2o9b2o
12b2o9b2o$5b2o2b2o2b2o11b2o24b2o26b2o$53b2o24b2o$53b2o8b2o4b2o8b2o$53b
o9b2o4b2o9bo$5b2o2b2o2b2o3b2o2b2o2b2o$5b2o2b2o2b2o3b2o2b2o2b2o12b3o$
33bo15bo16b2o$34b3o9b3o16bo2bo$13b2o3b2o6b2o6bobo9bobo11b2o4b2o4b2o$
13b2o3b2o6b2o6b2o4b3o4b2o10b4o8b4o$38bo5bo17bo8bo$37bobo3bobo$5b2o2b2o
2b2o3b2o2b2o2b2o10b2o3b2o$5b2o2b2o2b2o3b2o2b2o2b2o4bo3bo9bo3bo12b2o4b
2o$32bo3bo9bo3bo12b2o4b2o$32bo3bo9bo3bo$5b2o19b2o10b2o3b2o$5b2o19b2o9b
obo3bobo$38bo5bo$34b2o4b3o4b2o$5b2o2b2o2b2o11b2o6bobo9bobo$5b2o2b2o2b
2o11b2o6b3o9b3o$33bo15bo$40b3o2$5b2o2b2o2b2o3b2o2b2o2b2o$5b2o2b2o2b2o
3b2o2b2o2b2o3$13b2o3b2o6b2o$13b2o3b2o6b2o3$5b2o2b2o2b2o3b2o6b2o$5b2o2b
2o2b2o3b2o6b2o3$13b2o3b2o6b2o5b2o$13b2o3b2o6b2o5b2o3$5b2o2b2o2b2o3b2o
2b2o2b2o$5b2o2b2o2b2o3b2o2b2o2b2o3b2o3b2o$31b2o3b2o$31bo$48b2o11b2o$5b
2o2b2o2b2o3b2o6b2o5b2o13bobo9bobo$5b2o2b2o2b2o3b2o6b2o5b2o9b2o3bo11bo$
44b2o$52b3o$13b2o3b2o6b2o24bobo$13b2o3b2o6b2o12b3o9b3o$35b3o$35bobo11b
o11bo$5b2o2b2o2b2o3b2o2b2o2b2o7b3o10bobo9bobo$5b2o2b2o2b2o3b2o2b2o2b2o
3b2o15b2o11b2o$31b2o2$13b2o11b2o$13b2o11b2o3$5b2o2b2o2b2o11b2o$5b2o2b
2o2b2o11b2o24bo6b2o$38b2o6bo4b3o5b2o$38b2o5b3o4bo$46bo$5b2o2b2o2b2o3b
2o2b2o2b2o$5b2o2b2o2b2o3b2o2b2o2b2o2$59bo$13b2o3b2o19bo18b3o$13b2o3b2o
18b3o18bo$39bo2$5b2o2b2o2b2o3b2o2b2o2b2o$5b2o2b2o2b2o3b2o2b2o2b2o32bo$
40bo18b3o$39b3o18bo$13b2o11b2o12bo$13b2o11b2o$116b2o7b2o$74b2o7b2o31bo
bo5bobo$5b2o2b2o2b2o3b2o2b2o2b2o25bo20bobo5bobo32bo7bo$5b2o2b2o2b2o3b
2o2b2o2b2o19bo4b3o5b2o13bo7bo37bo$39b2o5b3o4bo6b2o17bo40b3o$39b2o6bo
30b3o38b2ob2o$77b2ob2o38b3o$5b2o2b2o2b2o3b2o2b2o2b2o50b3o40bo$5b2o2b2o
2b2o3b2o2b2o2b2o51bo3$13b2o3b2o6b2o$13b2o3b2o6b2o3$5b2o2b2o2b2o3b2o2b
2o2b2o3b2o23b2o2b2o35b2o2b2o17b3o17b2o$5b2o2b2o2b2o3b2o2b2o2b2o3bobo
21bobo2bobo16bo16bobo2bobo35bobo$32bo23bo4bo17bo17bo4bo16b5o16bo$36bo
15bo12bo27bo12bo11bo5bo11bo$13b2o11b2o7bobo13bobo10b3o12bo12b3o10b3o8b
obo5bobo8b3o$13b2o11b2o6bo3bo11bo3bo8b2ob2o7b2ob3ob2o7b2ob2o8b2ob2o7bo
bo5bobo7b2ob2o$35bobo13bobo10b3o12bo12b3o10b3o8bobo5bobo8b3o$36bo15bo
12bo27bo12bo11bo5bo11bo$5b2o2b2o2b2o3b2o2b2o2b2o4bo23bo4bo17bo17bo4bo
16b5o16bo$5b2o2b2o2b2o3b2o2b2o2b2o3bobo21bobo2bobo16bo16bobo2bobo35bob
o$31b2o23b2o2b2o35b2o2b2o17b3o17b2o3$5b2o6b2o3b2o2b2o2b2o2b2o$5b2o6b2o
3b2o2b2o2b2o2b2o$36bo$35b3o3b2o$5b2o6b2o3b2o6b2o7bo2bo2b2o36bo$5b2o6b
2o3b2o6b2o8b3o39b3o40bo$37bo39b2ob2o38b3o$78b3o38b2ob2o$5b2o2b2o2b2o3b
2o6b2o51bo40b3o$5b2o2b2o2b2o3b2o6b2o47bo7bo37bo$37bo36bobo5bobo32bo7bo
$36b3o35b2o7b2o31bobo5bobo$13b2o3b2o6b2o7bo2bo2b2o73b2o7b2o$13b2o3b2o
6b2o7b3o3b2o$36bo$30b2o$13b2o3b2o2b2o2b2o2b2o$13b2o3b2o2b2o2b2o2$59b2o
21b2o$59b2o21b2o$5b2o6b2o11b2o$5b2o6b2o11b2o$67b3o3b3o$67bobo3bobo$5b
2o6b2o11b2o18bo20b3o3b3o$5b2o6b2o11b2o17b3o13b2o17b2o$44b2ob2o12b2o17b
2o$40bo4b2ob2o$5b2o2b2o2b2o11b2o11b3o4b3o$5b2o2b2o2b2o11b2o10b2ob2o4bo
$39b2ob2o$40b3o18b2o17b2o$13b2o11b2o13bo19b2o17b2o$13b2o11b2o39b3o3b3o
$67bobo3bobo$67b3o3b3o$13b2o11b2o$13b2o11b2o$30b2o27b2o21b2o$30bobo26b
2o21b2o$31bo$5b2o6b2o3b2o2b2o2b2o$5b2o6b2o3b2o2b2o2b2o6b3o48b2o4b2o23b
2o10b2o$34bobo18b2o9b2o6b2o9b2o4b2o9b2o6b2o4b2o10b2o4b2o$34b3o18b2o9b
2o6b2o26b2o6b2o22b2o$5b2o6b2o11b2o$5b2o6b2o11b2o11bo$38bobo12b2o13b2o
2b2o30b2o2b2o26b2o$39b2o12b2o13b2o2b2o30b2o2b2o26b2o$5b2o2b2o2b2o3b2o
2b2o2b2o29b3o22b3o3b2o3b3o22b3o4b3o$5b2o2b2o2b2o3b2o2b2o2b2o29bobo22bo
bo2bo2bo2bobo22bobo4bobo$57b3o22b3o3b2o3b3o22b3o4b3o$33b3o17b2o13b2o2b
2o30b2o2b2o26b2o$13b2o3b2o12bo3bo16b2o13b2o2b2o30b2o2b2o26b2o$13b2o3b
2o11bo5bo$31bo5bo$31bo5bo17b2o9b2o6b2o26b2o6b2o22b2o$13b2o3b2o2b2o2b2o
4bo3bo18b2o9b2o6b2o9b2o4b2o9b2o6b2o4b2o10b2o4b2o$13b2o3b2o2b2o2b2o5b3o
49b2o4b2o23b2o10b2o3$39b2o14b2o20b2o15b2o8b2o$5b2o6b2o3b2o2b2o2b2o11b
2o14b2o20b2o15b2o8b2o$5b2o6b2o3b2o2b2o2b2o3$5b2o6b2o3b2o6b2o2b2o32b2o
2b2o16b2o2b2o16b2o$5b2o6b2o3b2o6b2o2b2o32b2o2b2o16b2o2b2o16b2o$36b3o
18b3o14b3o19b3o$36bobo18bobo14bobo19bobo$5b2o2b2o2b2o3b2o2b2o2b2o8b3o
18b3o14b3o19b3o$5b2o2b2o2b2o3b2o2b2o2b2o3$13b2o3b2o6b2o$13b2o3b2o6b2o
8b3o18b3o14b3o19b3o$36bobo18bobo14bobo19bobo$36b3o18b3o14b3o19b3o$13b
2o3b2o2b2o2b2o2b2o32b2o2b2o16b2o2b2o16b2o$13b2o3b2o2b2o2b2o2b2o32b2o2b
2o16b2o2b2o16b2o2$85bo$84bobo$5b2o2b2o2b2o3b2o2b2o2b2o11b2o14b2o20b2o
4bo3bo6b2o8b2o$5b2o2b2o2b2o3b2o2b2o2b2o11b2o14b2o20b2o4b5o6b2o8b2o$
112b2o$60bo21b7o19b2o2bob2o$5b2o11b2o6b2o31b2o10b2o9bo5bo19b2o3b4o$5b
2o11b2o6b2o3b4o8bo15b2o7b2obob2o8bobobo15bo9b2o2bo$32b2o8b2o16bo6bobob
o3bo7bo3bo14b2o10bo3bo$42b2o4b4o14bo2bobobob2o7b3o14bobo11bob3o$5b2o2b
2o2b2o3b2o6b2o15bo5b2o16bobobo3bo9bo14bo$5b2o2b2o2b2o3b2o6b2o40b2obob
2o24b2o2bo$37bo18bo14b2o26b4o$36b3o16b3o22bo17bob2o$5b2o6b2o3b2o6b2o9b
o18bo22b3o16b2o20b2o$5b2o6b2o3b2o6b2o52bo29bo9b2o$31bo30b2o24b2o19b3o$
31b2o28b4o21b2obob2o6b2o9bo$5b2o2b2o2b2o3b2o2b2o2b2o3b2o8b2o9bo22bo9bo
3bobobo5b2o20b2o$5b2o2b2o2b2o3b2o2b2o2b2o3bo8b4o8b2o20b3o7b2obobobo2bo
24b2obo$52b2o19bo3bo7bo3bobobo24b4o$52bo20bobobo8b2obob2o24bo2b2o$72bo
5bo9b2o30bo$5b2o2b2o2b2o3b2o2b2o2b2o44b7o22b3obo11bobo$5b2o2b2o2b2o3b
2o2b2o2b2o74bo3bo10b2o$73b5o25bo2b2o9bo$73bo3bo26b4o3b2o$13b2o3b2o54bo
bo3b2o15b2o6b2obo2b2o$13b2o3b2o17b2o36bo4b2o15b2o8b2o$37b2o2$13b2o3b2o
2b2o2b2o$13b2o3b2o2b2o2b2o3$13b2o3b2o6b2o51bo19bo$13b2o3b2o6b2o8bo41bo
b2o15b2obo$35bob2o38bo3b2o13b2o3bo$34bo3b2o7b2o20b2o7bo3bo13bo3bo7b2o$
13b2o3b2o2b2o2b2o7bo3bo7b2o20b2o7b2o3bo11bo3b2o7b2o$13b2o3b2o2b2o2b2o
7b2o3bo38b2obo13bob2o$36b2obo41bo15bo$38bo8b2o3b2o$47b2o3b2o$2o3b2o2b
2o2b2o3b2o2b2o2b2o$2o3b2o2b2o2b2o3b2o2b2o2b2o3$2o11b2o3b2o6b2o$2o11b2o
3b2o6b2o8b2o$36b2o2$2o3b2o2b2o2b2o3b2o6b2o$2o3b2o2b2o2b2o3b2o6b2o8b2o
25b2o16bo15bo$36b2o8bo7bo8b2o14b2obo13bob2o$45b2o7b2o13b2o7b2o3bo11bo
3b2o7b2o$2o11b2o3b2o6b2o16b3o7b3o12b2o7bo3bo13bo3bo7b2o$2o11b2o3b2o6b
2o17b2o7b2o21bo3b2o13b2o3bo$36b2o8bo7bo8b2o13bob2o15b2obo$36b2o25b2o
14bo19bo$2o3b2o2b2o2b2o3b2o2b2o2b2o$2o3b2o2b2o2b2o3b2o2b2o2b2o5$80b2o
15b2o$80b2o15b2o2$47b2o3b2o$47b2o3b2o!

TODO (sorted and coloured by approximate difficulty):
Convince others to apgsearch it with me (perhaps I am being optimistic but I think it is quite a nice rule :-)
Run programs for explicitly searching for oscillators instead of only using apgsearch
Find more traffic-light-predecessor-displacing hasslers (perhaps by explicit search programs also), see whether any mechanisms are interoperable with existing ones with the same numerators to form oscillators with periods of the sum of their denominators (the hasslers in the oscillators shown above displace them by 3*c/8,3*c/11,4*c/17,5*c/24,6*c/21, but the 3*c/8 and 3*c/11 ones aren't because the 3*c/8 requires the total period to be a multiple of 4 and the 3*c/11 would interact with the xp4's, and two meeting orthogonally with a displacement of 8 cells will displace themselves away by 4*c/22 (as shown in the first xp39), and with 7 cells' displacement by 12*c/21)
Find something like Life's Eater 3 but with a beehive instead, stabilising the perturbation that cause beehives on their lines of symmetry to lose their end cells, then become filled 4*1 then 2*3 arrays temporarily before returning to their initial state, but only requiring perturbations on one side (providing an alternative 6*c/21 traffic-light-predecessor-hassling mechanism, and allowing the xp27 to be reduced by only including a quarter of its original self)
Find more periods and speeds of spaceships (specifically, c/2 and (1,1)*c/4 seem possible, from partials' frontends)
Find additional natural (or semi-natural) elementary spaceship mechanisms
Find a conduit that displaces the traffic light predecessor (or perhaps a different one) sufficiently far (and with sufficient clearance) to insert them perpendicularly, to build arbitrarily large loops of arbitrarily high periods
Prove Turing-completeness
Construct spaceship gun (probably for the xq20)
Construct stable reflector (to perhaps find upper bound on the minimum period above which all exist)
Prove omniperiodicity
Construct geminoid
DONE:
Construct (or otherwise find, if it's done by something like sep_stdin) a (8,8)c/58 corderoid

[Naszvadi]

rles

8c/58 diagonal cordership:

Code: Select all

#C [[ TRACK 8/58 -8/58 ]]
x = 659, y = 659, rule = B3ai4/S23
116bo$116bo2$114b5o$106bo6b4obo$105bobo5bo3b2ob2o$108bo5b2ob2o$103bo6b
o2bo$102bo8bob3o$102bo4bo3bo$102bo3b5o$103bo5bo$108bo$105b3o2$108b2o
21bo$109b2o20bo$110bo$93b2o35b4o$93b2o35b2obo$104b2o26b2ob2o$104b2o22b
obob2o$105b2o21bobob2o$105b2o21b2ob2o2$127b2o$85b2o32b2o5bo2bo$85b2o
33b2o3b2o$121bo2bobo3bo$123bo2b2o3bo13bo$113b2o8bo2bo5bo12bo$113b4o6bo
7bo$115b2o26b5o$125bo3bo5bo6b4obo$77b2o47b3o5bobo5bo3b2ob2o$77b2o58bo
5b2ob2o$132bo6bo2bo$123b2o6bo8bob3o$123b2o6bo4bo3bo$131bo3b5o$132bo5bo
$112b2o13b2o8bo$69b2o40bo2bo12b2o5b3o$69b2o39bo3b2o$109bo3b2obo20b2o
21bo$108bo3b2o24b2o20bo$111b2o3bo22bo$108bob2o3bo43b4o$109b2o3bo44b2ob
o$110bo2bo5bobo11b2o26b2ob2o$61b2o48b2o5bo3bo10b2o22bobob2o$61b2o54bo
3b3o10b2o21bobob2o$116bo3b2o2bo9b2o21b2ob2o$115bo3b2o3bo$115bo2b2o3bo
32b2o$116b3o3bo25b2o5bo2bo$117bo3bo27b2o3b2o$118bobo29bo2bobo3bo$53b2o
97bo2b2o3bo13bo$53b2o87b2o8bo2bo5bo12bo$142b4o6bo7bo$144b2o26b5o$154bo
3bo5bo6b4obo$155b3o5bobo5bo3b2ob2o$166bo5b2ob2o$161bo6bo2bo$45b2o105b
2o6bo8bob3o$45b2o105b2o6bo4bo3bo$160bo3b5o$161bo5bo$141b2o13b2o8bo$50b
o89bo2bo12b2o5b3o$50bo88bo3b2o$138bo3b2obo20b2o21bo$37b2o10b4o84bo3b2o
24b2o20bo$37b2o10b2obo87b2o3bo22bo$51b2ob2o81bob2o3bo43b4o$47bobob2o
85b2o3bo44b2obo$47bobob2o86bo2bo5bobo11b2o26b2ob2o$47b2ob2o88b2o5bo3bo
10b2o22bobob2o$146bo3b3o10b2o21bobob2o$46b2o97bo3b2o2bo9b2o21b2ob2o$
38b2o5bo2bo95bo3b2o3bo$39b2o103bo2b2o3bo32b2o$40bo5bo98b3o3bo25b2o5bo
2bo$47bo2bo95bo3bo27b2o3b2o$45bo2bo2bo95bobo29bo2bobo3bo$44bo2bob2o
130bo2b2o3bo13bo$44bo126b2o8bo2bo5bo12bo$45bo2bo122b4o6bo7bo$45bobo21b
o103b2o26b5o$45b2o22bo113bo3bo5bo6b4obo$45bo138b3o5bobo5bo3b2ob2o$67b
5o123bo5b2ob2o$37b2o7b3o10bo6b4obo118bo6bo2bo$37b2o7b2o10bobo5bo3b2ob
2o106b2o6bo8bob3o$45b2o11bo8b2ob2o109b2o6bo4bo3bo$37bo13bo4bo2bo3bo2bo
122bo3b5o$36bobo11b2o3bo2bobo3bob3o121bo5bo$36bobo10b3o2bo6bo2bo105b2o
13b2o8bo$37bo11bo3b4o2bo3bo105bo2bo12b2o5b3o$57b2o109bo3b2o$167bo3b2ob
o20b2o21bo$166bo3b2o24b2o20bo$169b2o3bo22bo$61b2o103bob2o3bo43b4o$62b
2o103b2o3bo44b2obo$46b2o2b2o11bo104bo2bo5bobo11b2o26b2ob2o$45bo2bob2o
6bo110b2o5bo3bo10b2o22bobob2o$46b2o10bo116bo3b3o10b2o21bobob2o$57bo2bo
113bo3b2o2bo9b2o21b2ob2o$56bo5bo110bo3b2o3bo$56bo5bo110bo2b2o3bo32b2o$
56b3o2bo112b3o3bo25b2o5bo2bo$175bo3bo27b2o3b2o$176bobo29bo2bobo3bo$
210bo2b2o3bo13bo$200b2o8bo2bo5bo12bo$200b4o6bo7bo$49b2o151b2o26b5o$49b
2o161bo3bo5bo6b4obo$213b3o5bobo5bo3b2ob2o$224bo5b2ob2o$219bo6bo2bo$
210b2o6bo8bob3o$210b2o6bo4bo3bo$218bo3b5o$41b2o176bo5bo$41b2o156b2o13b
2o8bo$198bo2bo12b2o5b3o$197bo3b2o$196bo3b2obo20b2o21bo$46bo148bo3b2o
24b2o20bo$46bo151b2o3bo22bo$195bob2o3bo43b4o$33b2o10b4o147b2o3bo44b2ob
o$33b2o10b2obo148bo2bo5bobo11b2o26b2ob2o$47b2ob2o146b2o5bo3bo10b2o22bo
bob2o$43bobob2o155bo3b3o10b2o21bobob2o$43bobob2o154bo3b2o2bo9b2o21b2ob
2o$43b2ob2o154bo3b2o3bo$202bo2b2o3bo32b2o$42b2o159b3o3bo25b2o5bo2bo$
34b2o5bo2bo159bo3bo27b2o3b2o$35b2o168bobo29bo2bobo3bo$36bo5bo196bo2b2o
3bo13bo$43bo2bo182b2o8bo2bo5bo12bo$41bo2bo2bo181b4o6bo7bo$40bo2bob2o
184b2o26b5o$40bo200bo3bo5bo6b4obo$41bo2bo197b3o5bobo5bo3b2ob2o$41bobo
21bo187bo5b2ob2o$41b2o22bo182bo6bo2bo$41bo197b2o6bo8bob3o$63b5o171b2o
6bo4bo3bo$33b2o7b3o10bo6b4obo179bo3b5o$33b2o7b2o10bobo5bo3b2ob2o177bo
5bo$41b2o11bo8b2ob2o160b2o13b2o8bo$33bo13bo4bo2bo3bo2bo164bo2bo12b2o5b
3o$32bobo11b2o3bo2bobo3bob3o161bo3b2o$32bobo10b3o2bo6bo2bo164bo3b2obo
20b2o21bo$33bo11bo3b4o2bo3bo164bo3b2o24b2o20bo$53b2o172b2o3bo22bo$224b
ob2o3bo43b4o$225b2o3bo44b2obo$226bo2bo5bobo11b2o26b2ob2o$57b2o168b2o5b
o3bo10b2o22bobob2o$58b2o173bo3b3o10b2o21bobob2o$42b2o2b2o11bo172bo3b2o
2bo9b2o21b2ob2o$41bo2bob2o6bo176bo3b2o3bo$42b2o10bo176bo2b2o3bo32b2o$
53bo2bo175b3o3bo25b2o5bo2bo$52bo5bo174bo3bo27b2o3b2o$52bo5bo175bobo29b
o2bobo3bo$52b3o2bo210bo2b2o3bo13bo$258b2o8bo2bo5bo12bo$258b4o6bo7bo$
260b2o26b5o$270bo3bo5bo6b4obo$271b3o5bobo5bo3b2ob2o$45b2o235bo5b2ob2o$
45b2o230bo6bo2bo$268b2o6bo8bob3o$268b2o6bo4bo3bo$276bo3b5o$277bo5bo$
257b2o13b2o8bo$256bo2bo12b2o5b3o$37b2o216bo3b2o$37b2o215bo3b2obo20b2o
21bo$253bo3b2o24b2o20bo$256b2o3bo22bo$253bob2o3bo43b4o$42bo211b2o3bo
44b2obo$42bo212bo2bo5bobo11b2o26b2ob2o$256b2o5bo3bo10b2o22bobob2o$29b
2o10b4o217bo3b3o10b2o21bobob2o$29b2o10b2obo216bo3b2o2bo9b2o21b2ob2o$
43b2ob2o212bo3b2o3bo$39bobob2o215bo2b2o3bo32b2o$39bobob2o216b3o3bo25b
2o5bo2bo$39b2ob2o218bo3bo27b2o3b2o$263bobo29bo2bobo3bo$38b2o257bo2b2o
3bo13bo$30b2o5bo2bo246b2o8bo2bo5bo12bo$31b2o254b4o6bo7bo$32bo5bo250b2o
26b5o$39bo2bo256bo3bo5bo6b4obo$37bo2bo2bo256b3o5bobo5bo3b2ob2o$36bo2bo
b2o268bo5b2ob2o$36bo269bo6bo2bo$37bo2bo256b2o6bo8bob3o$37bobo21bo235b
2o6bo4bo3bo$37b2o22bo243bo3b5o$37bo268bo5bo$59b5o222b2o13b2o8bo$29b2o
7b3o10bo6b4obo221bo2bo12b2o5b3o$29b2o7b2o10bobo5bo3b2ob2o217bo3b2o$37b
2o11bo8b2ob2o219bo3b2obo20b2o21bo$29bo13bo4bo2bo3bo2bo223bo3b2o24b2o
20bo$28bobo11b2o3bo2bobo3bob3o224b2o3bo22bo$28bobo10b3o2bo6bo2bo225bob
2o3bo43b4o$29bo11bo3b4o2bo3bo227b2o3bo44b2obo$49b2o233bo2bo5bobo11b2o
26b2ob2o$285b2o5bo3bo10b2o22bobob2o$291bo3b3o10b2o21bobob2o$290bo3b2o
2bo9b2o21b2ob2o$53b2o234bo3b2o3bo$54b2o233bo2b2o3bo32b2o$38b2o2b2o11bo
234b3o3bo25b2o5bo2bo$37bo2bob2o6bo240bo3bo27b2o3b2o$38b2o10bo241bobo
29bo2bobo3bo$49bo2bo273bo2b2o3bo13bo$48bo5bo261b2o8bo2bo5bo12bo$48bo5b
o261b4o6bo7bo$48b3o2bo264b2o26b5o$328bo3bo5bo6b4obo$329b3o5bobo5bo3b2o
b2o$340bo5b2ob2o$335bo6bo2bo$326b2o6bo8bob3o$41b2o283b2o6bo4bo3bo$41b
2o291bo3b5o$335bo5bo$315b2o13b2o8bo$314bo2bo12b2o5b3o$313bo3b2o$312bo
3b2obo20b2o21bo$311bo3b2o24b2o20bo$33b2o279b2o3bo22bo$33b2o276bob2o3bo
43b4o$312b2o3bo44b2obo$313bo2bo5bobo11b2o26b2ob2o$314b2o5bo3bo10b2o22b
obob2o$38bo281bo3b3o10b2o21bobob2o$38bo280bo3b2o2bo9b2o21b2ob2o$318bo
3b2o3bo$25b2o10b4o277bo2b2o3bo32b2o$25b2o10b2obo278b3o3bo25b2o5bo2bo$
39b2ob2o276bo3bo27b2o3b2o$35bobob2o280bobo29bo2bobo3bo$35bobob2o314bo
2b2o3bo13bo$35b2ob2o305b2o8bo2bo5bo12bo$345b4o6bo7bo$34b2o311b2o26b5o$
26b2o5bo2bo320bo3bo5bo6b4obo$27b2o329b3o5bobo5bo3b2ob2o$28bo5bo334bo5b
2ob2o$35bo2bo325bo6bo2bo$33bo2bo2bo315b2o6bo8bob3o$32bo2bob2o316b2o6bo
4bo3bo$32bo330bo3b5o$33bo2bo327bo5bo$33bobo21bo286b2o13b2o8bo$33b2o22b
o285bo2bo12b2o5b3o$33bo308bo3b2o$55b5o281bo3b2obo20b2o21bo$25b2o7b3o
10bo6b4obo280bo3b2o24b2o20bo$25b2o7b2o10bobo5bo3b2ob2o280b2o3bo22bo$
33b2o11bo8b2ob2o280bob2o3bo43b4o$25bo13bo4bo2bo3bo2bo286b2o3bo44b2obo$
24bobo11b2o3bo2bobo3bob3o285bo2bo5bobo11b2o26b2ob2o$24bobo10b3o2bo6bo
2bo290b2o5bo3bo10b2o22bobob2o$25bo11bo3b4o2bo3bo297bo3b3o10b2o21bobob
2o$45b2o301bo3b2o2bo9b2o21b2ob2o$347bo3b2o3bo$347bo2b2o3bo32b2o$348b3o
3bo25b2o5bo2bo$49b2o298bo3bo27b2o3b2o$50b2o298bobo29bo2bobo3bo$34b2o2b
2o11bo332bo2b2o3bo13bo$33bo2bob2o6bo327b2o8bo2bo5bo12bo$34b2o10bo327b
4o6bo7bo$45bo2bo327b2o26b5o$44bo5bo335bo3bo5bo6b4obo$44bo5bo336b3o5bob
o5bo3b2ob2o$44b3o2bo348bo5b2ob2o$393bo6bo2bo$384b2o6bo8bob3o$384b2o6bo
4bo3bo$392bo3b5o$393bo5bo$37b2o334b2o13b2o8bo$37b2o333bo2bo12b2o5b3o$
371bo3b2o$370bo3b2obo20b2o21bo$369bo3b2o24b2o20bo$372b2o3bo22bo$369bob
2o3bo43b4o$370b2o3bo44b2obo$29b2o340bo2bo5bobo11b2o26b2ob2o$29b2o341b
2o5bo3bo10b2o22bobob2o$378bo3b3o10b2o21bobob2o$377bo3b2o2bo9b2o21b2ob
2o$376bo3b2o3bo$34bo341bo2b2o3bo32b2o$34bo342b3o3bo25b2o5bo2bo$378bo3b
o27b2o3b2o$21b2o10b4o342bobo29bo2bobo3bo$21b2o10b2obo376bo2b2o3bo13bo$
35b2ob2o363b2o8bo2bo5bo12bo$31bobob2o366b4o6bo7bo$31bobob2o368b2o26b5o
$31b2ob2o379bo3bo5bo6b4obo$416b3o5bobo5bo3b2ob2o$30b2o395bo5b2ob2o$22b
2o5bo2bo389bo6bo2bo$23b2o388b2o6bo8bob3o$24bo5bo382b2o6bo4bo3bo$31bo2b
o386bo3b5o$29bo2bo2bo386bo5bo$28bo2bob2o367b2o13b2o8bo$28bo372bo2bo12b
2o5b3o$29bo2bo367bo3b2o$29bobo21bo345bo3b2obo20b2o21bo$29b2o22bo344bo
3b2o24b2o20bo$29bo371b2o3bo22bo$51b5o342bob2o3bo43b4o$21b2o7b3o10bo6b
4obo343b2o3bo44b2obo$21b2o7b2o10bobo5bo3b2ob2o341bo2bo5bobo11b2o26b2ob
2o$29b2o11bo8b2ob2o345b2o5bo3bo10b2o22bobob2o$21bo13bo4bo2bo3bo2bo356b
o3b3o10b2o21bobob2o$20bobo11b2o3bo2bobo3bob3o353bo3b2o2bo9b2o21b2ob2o$
20bobo10b3o2bo6bo2bo356bo3b2o3bo$21bo11bo3b4o2bo3bo357bo2b2o3bo32b2o$
41b2o363b3o3bo25b2o5bo2bo$407bo3bo27b2o3b2o$408bobo29bo2bobo3bo$442bo
2b2o3bo13bo$45b2o385b2o8bo2bo5bo12bo$46b2o384b4o6bo7bo$30b2o2b2o11bo
386b2o26b5o$29bo2bob2o6bo401bo3bo5bo6b4obo$30b2o10bo402b3o5bobo5bo3b2o
b2o$41bo2bo411bo5b2ob2o$40bo5bo404bo6bo2bo$40bo5bo395b2o6bo8bob3o$40b
3o2bo396b2o6bo4bo3bo$450bo3b5o$451bo5bo$431b2o13b2o8bo$430bo2bo12b2o5b
3o$429bo3b2o$33b2o393bo3b2obo20b2o21bo$33b2o392bo3b2o24b2o20bo$430b2o
3bo22bo$427bob2o3bo43b4o$428b2o3bo44b2obo$429bo2bo5bobo11b2o26b2ob2o$
430b2o5bo3bo10b2o22bobob2o$436bo3b3o10b2o21bobob2o$25b2o408bo3b2o2bo9b
2o21b2ob2o$25b2o407bo3b2o3bo$434bo2b2o3bo32b2o$435b3o3bo25b2o5bo2bo$
436bo3bo27b2o3b2o$30bo406bobo29bo2bobo3bo$30bo440bo2b2o3bo13bo$461b2o
8bo2bo5bo12bo$17b2o10b4o428b4o6bo7bo$17b2o10b2obo430b2o26b5o$31b2ob2o
437bo3bo5bo6b4obo$27bobob2o441b3o5bobo5bo3b2ob2o$27bobob2o452bo5b2ob2o
$27b2ob2o448bo6bo2bo$471b2o6bo8bob3o$26b2o443b2o6bo4bo3bo$18b2o5bo2bo
450bo3b5o$19b2o459bo5bo$20bo5bo433b2o13b2o8bo$27bo2bo428bo2bo12b2o5b3o
$25bo2bo2bo426bo3b2o$24bo2bob2o426bo3b2obo20b2o21bo$24bo431bo3b2o24b2o
20bo$25bo2bo430b2o3bo22bo$25bobo21bo406bob2o3bo43b4o$25b2o22bo407b2o3b
o44b2obo$25bo432bo2bo5bobo11b2o26b2ob2o$47b5o407b2o5bo3bo10b2o22bobob
2o$17b2o7b3o10bo6b4obo413bo3b3o10b2o21bobob2o$17b2o7b2o10bobo5bo3b2ob
2o409bo3b2o2bo9b2o21b2ob2o$25b2o11bo8b2ob2o411bo3b2o3bo$17bo13bo4bo2bo
3bo2bo416bo2b2o3bo32b2o$16bobo11b2o3bo2bobo3bob3o415b3o3bo25b2o5bo2bo$
16bobo10b3o2bo6bo2bo420bo3bo27b2o3b2o$17bo11bo3b4o2bo3bo422bobo29bo2bo
bo3bo$37b2o461bo2b2o3bo13bo$490b2o8bo2bo5bo12bo$490b4o6bo7bo$492b2o26b
5o$41b2o459bo3bo5bo6b4obo$42b2o459b3o5bobo5bo3b2ob2o$26b2o2b2o11bo470b
o5b2ob2o$25bo2bob2o6bo470bo6bo2bo$26b2o10bo461b2o6bo8bob3o$37bo2bo459b
2o6bo4bo3bo$36bo5bo465bo3b5o$36bo5bo466bo5bo$36b3o2bo447b2o13b2o8bo$
488bo2bo12b2o5b3o$487bo3b2o$486bo3b2obo20b2o21bo$485bo3b2o24b2o20bo$
488b2o3bo22bo$29b2o454bob2o3bo43b4o$29b2o455b2o3bo44b2obo$487bo2bo5bob
o11b2o26b2ob2o$488b2o5bo3bo10b2o22bobob2o$494bo3b3o10b2o21bobob2o$493b
o3b2o2bo9b2o21b2ob2o$492bo3b2o3bo$492bo2b2o3bo32b2o$21b2o470b3o3bo25b
2o5bo2bo$21b2o471bo3bo27b2o3b2o$495bobo29bo2bobo3bo$529bo2b2o3bo13bo$
519b2o8bo2bo5bo12bo$26bo492b4o6bo7bo$26bo494b2o26b5o$531bo3bo5bo6b4obo
$13b2o10b4o503b3o5bobo5bo3b2ob2o$13b2o10b2obo514bo5b2ob2o$27b2ob2o506b
o6bo2bo$23bobob2o500b2o6bo8bob3o$23bobob2o500b2o6bo4bo3bo$23b2ob2o509b
o3b5o$538bo5bo$22b2o494b2o13b2o8bo$14b2o5bo2bo492bo2bo12b2o5b3o$15b2o
499bo3b2o$16bo5bo492bo3b2obo20b2o21bo$23bo2bo487bo3b2o24b2o20bo$21bo2b
o2bo489b2o3bo22bo$20bo2bob2o487bob2o3bo43b4o$20bo494b2o3bo44b2obo$21bo
2bo491bo2bo5bobo11b2o26b2ob2o$21bobo21bo471b2o5bo3bo10b2o22bobob2o$21b
2o22bo477bo3b3o10b2o21bobob2o$21bo500bo3b2o2bo9b2o21b2ob2o$43b5o473bo
3b2o3bo$13b2o7b3o10bo6b4obo473bo2b2o3bo32b2o$13b2o7b2o10bobo5bo3b2ob2o
471b3o3bo25b2o5bo2bo$21b2o11bo8b2ob2o475bo3bo27b2o3b2o$13bo13bo4bo2bo
3bo2bo481bobo29bo2bobo3bo$12bobo11b2o3bo2bobo3bob3o513bo2b2o3bo13bo$
12bobo10b3o2bo6bo2bo507b2o8bo2bo5bo12bo$13bo11bo3b4o2bo3bo508b4o6bo7bo
$33b2o515b2o26b5o$560bo3bo5bo6b4obo$561b3o5bobo5bo3b2ob2o$572bo5b2ob2o
$37b2o528bo6bo2bo$38b2o518b2o6bo8bob3o$22b2o2b2o11bo518b2o6bo4bo3bo$
21bo2bob2o6bo531bo3b5o$22b2o10bo532bo5bo$33bo2bo510b2o13b2o8bo$32bo5bo
507bo2bo12b2o5b3o$32bo5bo506bo3b2o$32b3o2bo506bo3b2obo20b2o21bo$543bo
3b2o24b2o20bo$546b2o3bo22bo$543bob2o3bo43b4o$544b2o3bo44b2obo$545bo2bo
5bobo11b2o26b2ob2o$25b2o519b2o5bo3bo10b2o22bobob2o$25b2o525bo3b3o10b2o
21bobob2o$551bo3b2o2bo9b2o21b2ob2o$550bo3b2o3bo$550bo2b2o3bo32b2o$30bo
520b3o3bo25b2o5bo2bo$30bo521bo3bo27b2o3b2o$553bobo29bo2bobo3bo$17b2o
10b4o554bo2b2o3bo13bo$17b2o10b2obo544b2o8bo2bo5bo12bo$31b2ob2o541b4o6b
o7bo$27bobob2o546b2o26b5o$27bobob2o556bo3bo5bo6b4obo$27b2ob2o558b3o5bo
bo5bo3b2ob2o$601bo5b2ob2o$26b2o568bo6bo2bo$18b2o5bo2bo558b2o6bo8bob3o$
19b2o566b2o6bo4bo3bo$20bo5bo568bo3b5o$27bo2bo565bo5bo$25bo2bo2bo544b2o
13b2o8bo$24bo2bob2o544bo2bo12b2o5b3o$24bo549bo3b2o$25bo2bo544bo3b2obo
20b2o21bo$25bobo21bo522bo3b2o24b2o20bo$25b2o22bo525b2o3bo22bo$25bo546b
ob2o3bo43b4o$47b5o521b2o3bo44b2obo$17b2o7b3o10bo6b4obo522bo2bo5bobo11b
2o26b2ob2o$17b2o7b2o10bobo5bo3b2ob2o520b2o5bo3bo10b2o22bobob2o$25b2o
11bo8b2ob2o529bo3b3o10b2o21bobob2o$17bo13bo4bo2bo3bo2bo533bo3b2o2bo9b
2o21b2ob2o$16bobo11b2o3bo2bobo3bob3o530bo3b2o3bo$16bobo10b3o2bo6bo2bo
534bo2b2o3bo32b2o$17bo11bo3b4o2bo3bo536b3o3bo25b2o5bo2bo$37b2o542bo3bo
27b2o3b2o$582bobo29bo2bobo3bo$616bo2b2o3bo13bo$606b2o8bo2bo5bo12bo$41b
2o563b4o6bo7bo$42b2o564b2o26b5o$26b2o2b2o11bo574bo3bo5bo6b4obo$25bo2bo
b2o6bo580b3o5bobo5bo3b2ob2o$26b2o10bo591bo5b2ob2o$37bo2bo584bo6bo2bo$
36bo5bo573b2o6bo8bob3o$36bo5bo573b2o6bo4bo3bo$36b3o2bo582bo3b5o$625bo
5bo$605b2o13b2o8bo$604bo2bo12b2o5b3o$603bo3b2o$602bo3b2obo20b2o21bo$
29b2o570bo3b2o24b2o20bo$29b2o573b2o3bo22bo$601bob2o3bo43b4o$602b2o3bo
44b2obo$603bo2bo5bobo11b2o26b2ob2o$604b2o5bo3bo10b2o22bobob2o$610bo3b
3o10b2o21bobob2o$609bo3b2o2bo9b2o21b2ob2o$21b2o585bo3b2o3bo$21b2o585bo
2b2o3bo32b2o$609b3o3bo25b2o5bo2bo$610bo3bo27b2o3b2o$611bobo29bo2bobo3b
o$26bo618bo2b2o3bo$26bo608b2o8bo2bo5bo$635b4o6bo7bo$13b2o10b4o608b2o$
13b2o10b2obo618bo3bo$27b2ob2o616b3o$23bobob2o$23bobob2o$23b2ob2o2$22b
2o$14b2o5bo2bo$15b2o$16bo5bo616b2o$23bo2bo612b2o$21bo2bo2bo$20bo2bob2o
$20bo$21bo2bo$21bobo21bo$21b2o22bo$21bo609b2o$43b5o583b2o$13b2o7b3o10b
o6b4obo$13b2o7b2o10bobo5bo3b2ob2o$21b2o11bo8b2ob2o$13bo13bo4bo2bo3bo2b
o$12bobo11b2o3bo2bobo3bob3o$12bobo10b3o2bo6bo2bo$13bo11bo3b4o2bo3bo
583b2o$33b2o588b2o3$563bo$37b2o524bo$38b2o$22b2o2b2o11bo522b4o$21bo2bo
b2o6bo467bo59b2obo49b2o$22b2o10bo467bo61b2ob2o46b2o$33bo2bo523bobob2o$
32bo5bo462b4o55bobob2o$32bo5bo402bo59b2obo55b2ob2o$32b3o2bo403bo61b2ob
2o$499bobob2o54b2o$440b4o55bobob2o46b2o5bo2bo$380bo59b2obo55b2ob2o42b
2o4b2o53b2o$380bo61b2ob2o98bo7bo5bo47b2o$438bobob2o54b2o48bo11bo2bo$
25b2o352b4o55bobob2o46b2o5bo2bo57bo2bo2bo$25b2o292bo59b2obo55b2ob2o42b
2o4b2o52bo3b2o6bo2bob2o$319bo61b2ob2o98bo7bo5bo46bo2bo8bo$377bobob2o
54b2o48bo11bo2bo42b3o10bo2bo$318b4o55bobob2o46b2o5bo2bo57bo2bo2bo54bob
o21bo$258bo59b2obo55b2ob2o42b2o4b2o52bo3b2o6bo2bob2o55b2o22bo16b2o$
258bo61b2ob2o98bo7bo5bo46bo2bo8bo61bo40b2o$316bobob2o54b2o48bo11bo2bo
42b3o10bo2bo79b5o$17b2o238b4o55bobob2o46b2o5bo2bo57bo2bo2bo54bobo21bo
28b2o7b3o10bo6b4obo$17b2o178bo59b2obo55b2ob2o42b2o4b2o52bo3b2o6bo2bob
2o55b2o22bo16b2o10b2o7b2o10bobo5bo3b2ob2o$197bo61b2ob2o98bo7bo5bo46bo
2bo8bo61bo40b2o18b2o11bo8b2ob2o$255bobob2o54b2o48bo11bo2bo42b3o10bo2bo
79b5o26bo13bo4bo2bo3bo2bo$196b4o55bobob2o46b2o5bo2bo57bo2bo2bo54bobo
21bo28b2o7b3o10bo6b4obo25bobo11b2o3bo2bobo3bob3o$136bo59b2obo55b2ob2o
42b2o4b2o52bo3b2o6bo2bob2o55b2o22bo16b2o10b2o7b2o10bobo5bo3b2ob2o22bob
o10b3o2bo6bo2bo13b2o$136bo61b2ob2o98bo7bo5bo46bo2bo8bo61bo40b2o18b2o
11bo8b2ob2o26bo11bo3b4o2bo3bo14b2o$194bobob2o54b2o48bo11bo2bo42b3o10bo
2bo79b5o26bo13bo4bo2bo3bo2bo51b2o$9b2o124b4o55bobob2o46b2o5bo2bo57bo2b
o2bo54bobo21bo28b2o7b3o10bo6b4obo25bobo11b2o3bo2bobo3bob3o$9b2o64bo59b
2obo55b2ob2o42b2o4b2o52bo3b2o6bo2bob2o55b2o22bo16b2o10b2o7b2o10bobo5bo
3b2ob2o22bobo10b3o2bo6bo2bo13b2o$75bo61b2ob2o98bo7bo5bo46bo2bo8bo61bo
40b2o18b2o11bo8b2ob2o26bo11bo3b4o2bo3bo14b2o$133bobob2o54b2o48bo11bo2b
o42b3o10bo2bo79b5o26bo13bo4bo2bo3bo2bo51b2o63b2o$74b4o55bobob2o46b2o5b
o2bo57bo2bo2bo54bobo21bo28b2o7b3o10bo6b4obo25bobo11b2o3bo2bobo3bob3o
115b2o$14bo59b2obo55b2ob2o42b2o4b2o52bo3b2o6bo2bob2o55b2o22bo16b2o10b
2o7b2o10bobo5bo3b2ob2o22bobo10b3o2bo6bo2bo13b2o88b2o2b2o11bo6b2o$14bo
61b2ob2o98bo7bo5bo46bo2bo8bo61bo40b2o18b2o11bo8b2ob2o26bo11bo3b4o2bo3b
o14b2o87bo2bob2o18b2o$72bobob2o54b2o48bo11bo2bo42b3o10bo2bo79b5o26bo
13bo4bo2bo3bo2bo51b2o63b2o44b2o$b2o10b4o55bobob2o46b2o5bo2bo57bo2bo2bo
54bobo21bo28b2o7b3o10bo6b4obo25bobo11b2o3bo2bobo3bob3o115b2o$b2o10b2ob
o55b2ob2o42b2o4b2o52bo3b2o6bo2bob2o55b2o22bo16b2o10b2o7b2o10bobo5bo3b
2ob2o22bobo10b3o2bo6bo2bo13b2o88b2o2b2o11bo6b2o$15b2ob2o98bo7bo5bo46bo
2bo8bo61bo40b2o18b2o11bo8b2ob2o26bo11bo3b4o2bo3bo14b2o87bo2bob2o18b2o$
11bobob2o54b2o48bo11bo2bo42b3o10bo2bo79b5o26bo13bo4bo2bo3bo2bo51b2o63b
2o44b2o$11bobob2o46b2o5bo2bo57bo2bo2bo54bobo21bo28b2o7b3o10bo6b4obo25b
obo11b2o3bo2bobo3bob3o115b2o$11b2ob2o42b2o4b2o52bo3b2o6bo2bob2o55b2o
22bo16b2o10b2o7b2o10bobo5bo3b2ob2o22bobo10b3o2bo6bo2bo13b2o88b2o2b2o
11bo6b2o$57bo7bo5bo46bo2bo8bo61bo40b2o18b2o11bo8b2ob2o26bo11bo3b4o2bo
3bo14b2o87bo2bob2o18b2o$10b2o48bo11bo2bo42b3o10bo2bo79b5o26bo13bo4bo2b
o3bo2bo51b2o63b2o44b2o$2b2o5bo2bo57bo2bo2bo54bobo21bo28b2o7b3o10bo6b4o
bo25bobo11b2o3bo2bobo3bob3o115b2o$3b2o52bo3b2o6bo2bob2o55b2o22bo16b2o
10b2o7b2o10bobo5bo3b2ob2o22bobo10b3o2bo6bo2bo13b2o88b2o2b2o11bo6b2o$4b
o5bo46bo2bo8bo61bo40b2o18b2o11bo8b2ob2o26bo11bo3b4o2bo3bo14b2o87bo2bob
2o18b2o$11bo2bo42b3o10bo2bo79b5o26bo13bo4bo2bo3bo2bo51b2o63b2o44b2o$9b
o2bo2bo54bobo21bo28b2o7b3o10bo6b4obo25bobo11b2o3bo2bobo3bob3o115b2o$8b
o2bob2o55b2o22bo16b2o10b2o7b2o10bobo5bo3b2ob2o22bobo10b3o2bo6bo2bo13b
2o88b2o2b2o11bo6b2o$8bo61bo40b2o18b2o11bo8b2ob2o26bo11bo3b4o2bo3bo14b
2o87bo2bob2o18b2o$9bo2bo79b5o26bo13bo4bo2bo3bo2bo51b2o63b2o44b2o$9bobo
21bo28b2o7b3o10bo6b4obo25bobo11b2o3bo2bobo3bob3o115b2o$9b2o22bo16b2o
10b2o7b2o10bobo5bo3b2ob2o22bobo10b3o2bo6bo2bo13b2o88b2o2b2o11bo6b2o$9b
o40b2o18b2o11bo8b2ob2o26bo11bo3b4o2bo3bo14b2o87bo2bob2o18b2o$31b5o26bo
13bo4bo2bo3bo2bo51b2o63b2o44b2o$b2o7b3o10bo6b4obo25bobo11b2o3bo2bobo3b
ob3o115b2o$b2o7b2o10bobo5bo3b2ob2o22bobo10b3o2bo6bo2bo13b2o88b2o2b2o
11bo6b2o$9b2o11bo8b2ob2o26bo11bo3b4o2bo3bo14b2o87bo2bob2o18b2o$bo13bo
4bo2bo3bo2bo51b2o63b2o44b2o$obo11b2o3bo2bobo3bob3o115b2o$obo10b3o2bo6b
o2bo13b2o88b2o2b2o11bo6b2o$bo11bo3b4o2bo3bo14b2o87bo2bob2o18b2o$21b2o
63b2o44b2o$87b2o$71b2o2b2o11bo6b2o$70bo2bob2o18b2o$25b2o44b2o$26b2o$
10b2o2b2o11bo6b2o$9bo2bob2o18b2o$10b2o!

[APPEND#1]

smaller:

Code: Select all

#C [[ TRACK 8/58 -8/58 ]]
x = 627, y = 627, rule = B3ai4/S23
81b3o$84bo$80b2o3bo$78bobobo2bo$78bo2bobobo$78bo3b2o$75b3obo$67bo6bo2b
o2b3o$66bo6bo3bo$64bo2bo5bo2bo$64bo8b3o2bo$61bo2bo2bo9b3obob2o$62bobo
3bo7b3obo2bo$63b2o3bo6b3o4bo$63bo4bo6b3o3bo$64b2o9b3o2bo$64bo11b2obo$
77b3o$75bo2bo$74bo3b2o20b3o$75bo2bo14bo9bo$69b2o8bo12b2o5b2o3bo$57b2o
10b2o6bobo11bo5bobobo2bo$57b2o19bo11bo2bo3bo2bobobo$69bo19bo2bo4bo3b2o
$68bobo11b2obob2o4bo4bo$68bobo10bo2b4o4b3o4b3o$69bo12bo4b7o2b3o$88b5o
2bo2bo$84bobo2b3o2bo3bo11b3o$49b2o34bo8bo2bo15bo$49b2o43b3o12b2o3bo$
107bobobo2bo$107bo2bobobo$78b2o2b2o5bo17bo3b2o$77bo2bob2o4b3o13b3obo$
78b2o7b2o2bo11bo2bo2b3o$87b3o2bo9bo3bo$41b2o42bob2o2bo10bo2bo$41b2o41b
7o11b3o2bo$84bo3b2o16b3obob2o$85b3o8bo8b3obo2bo$86bo3b2o3bobo6b3o4bo$
90b2o2bo3bo5b3o3bo$73bo19b2obob2o4b3o2bo$72b3o18b6o6b2obo$33b2o36bo3bo
16bob4o8b3o$33b2o37b3o16b2obo9bo2bo$73bo18bob2o7bo3b2o20b3o$93b2o9bo2b
o14bo9bo$98b2o8bo12b2o5b2o3bo$76b3o19b2o6bobo11bo5bobobo2bo$107bo11bo
2bo3bo2bobobo$75b5o18bo19bo2bo4bo3b2o$25b2o46bobo4bo16bobo11b2obob2o4b
o4bo$25b2o46bobo4bobo14bobo10bo2b4o4b3o4b3o$73bobo4bobo15bo12bo4b7o2b
3o$75bo4bobo34b5o2bo2bo$76b5o6bo25bobo2b3o2bo3bo11b3o$86bobo25bo8bo2bo
15bo$77b3o5b2ob2o33b3o12b2o3bo$86bobo47bobobo2bo$17b2o68bo48bo2bobobo$
17b2o88b2o2b2o5bo17bo3b2o$106bo2bob2o4b3o13b3obo$107b2o7b2o2bo11bo2bo
2b3o$116b3o2bo9bo3bo$114bob2o2bo10bo2bo$113b7o11b3o2bo$113bo3b2o16b3ob
ob2o$9b2o103b3o8bo8b3obo2bo$9b2o104bo3b2o3bobo6b3o4bo$119b2o2bo3bo5b3o
3bo$102bo19b2obob2o4b3o2bo$101b3o18b6o6b2obo$19b3o78bo3bo16bob4o8b3o$
12bo9bo78b3o16b2obo9bo2bo$11b2o5b2o3bo78bo18bob2o7bo3b2o20b3o$b2o7bo5b
obobo2bo98b2o9bo2bo14bo9bo$b2o6bo2bo3bo2bobobo103b2o8bo12b2o5b2o3bo$8b
o2bo4bo3b2o83b3o19b2o6bobo11bo5bobobo2bo$7bo4bo4bo118bo11bo2bo3bo2bobo
bo$7bo3b3o4b3o83b5o18bo19bo2bo4bo3b2o$8bob3o2b3o84bobo4bo16bobo11b2obo
b2o4bo4bo$9b3o2bo2bo84bobo4bobo14bobo10bo2b4o4b3o4b3o$10bo2bo3bo84bobo
4bobo15bo12bo4b7o2b3o$13bo2bo87bo4bobo34b5o2bo2bo$13b3o48b3o38b5o6bo
25bobo2b3o2bo3bo11b3o$57bo9bo47bobo25bo8bo2bo15bo$56b2o5b2o3bo37b3o5b
2ob2o33b3o12b2o3bo$34b3o18bo5bobobo2bo46bobo47bobobo2bo$37bo16bo2bo3bo
2bobobo47bo48bo2bobobo$10b4o19b2o3bo14bo2bo4bo3b2o69b2o2b2o5bo17bo3b2o
$9b5o17bobobo2bo13bo4bo4bo72bo2bob2o4b3o13b3obo$8bo3b2o17bo2bobobo13bo
3b3o4b3o70b2o7b2o2bo11bo2bo2b3o$9b2o20bo3b2o16bob3o2b3o82b3o2bo9bo3bo$
10bo17b3obo21b3o2bo2bo80bob2o2bo10bo2bo$27bo2bo2b3o19bo2bo3bo79b7o11b
3o2bo$26bo3bo27bo2bo80bo3b2o16b3obob2o$26bo2bo28b3o82b3o8bo8b3obo2bo$
19b3o4b3o2bo112bo3b2o3bobo6b3o4bo$2b2o15b3o8b3obob2o110b2o2bo3bo5b3o3b
o$b3o16b2o7b3obo2bo42b3o49bo19b2obob2o4b3o2bo$ob2o13b2ob2o6b3o4bo6b2o
38bo47b3o18b6o6b2obo$bo16bobo8bo4bo7b2o11b4o19b2o3bo45bo3bo16bob4o8b3o
$19bo10bo2bo20b5o17bobobo2bo46b3o16b2obo9bo2bo$31b2o20bo3b2o17bo2bobob
o47bo18bob2o7bo3b2o20b3o$54b2o20bo3b2o69b2o9bo2bo14bo9bo$55bo17b3obo
78b2o8bo12b2o5b2o3bo$72bo2bo2b3o53b3o19b2o6bobo11bo5bobobo2bo$10b3o58b
o3bo89bo11bo2bo3bo2bobobo$10b3o21b2o35bo2bo58b5o18bo19bo2bo4bo3b2o$9bo
bo22b2o28b3o4b3o2bo54bobo4bo16bobo11b2obob2o4bo4bo$10bo36b2o15b3o8b3ob
ob2o48bobo4bobo14bobo10bo2b4o4b3o4b3o$46b3o16b2o7b3obo2bo49bobo4bobo
15bo12bo4b7o2b3o$45bob2o13b2ob2o6b3o4bo52bo4bobo34b5o2bo2bo$46bo16bobo
8bo4bo54b5o6bo25bobo2b3o2bo3bo11b3o$64bo10bo2bo65bobo25bo8bo2bo15bo$
76b2o57b3o5b2ob2o33b3o12b2o3bo$144bobo47bobobo2bo$145bo48bo2bobobo$
165b2o2b2o5bo17bo3b2o$55b3o106bo2bob2o4b3o13b3obo$55b3o107b2o7b2o2bo
11bo2bo2b3o$54bobo117b3o2bo9bo3bo$55bo116bob2o2bo10bo2bo$171b7o11b3o2b
o$66b2o103bo3b2o16b3obob2o$66b2o104b3o8bo8b3obo2bo$173bo3b2o3bobo6b3o
4bo$177b2o2bo3bo5b3o3bo$160bo19b2obob2o4b3o2bo$76b3o80b3o18b6o6b2obo$
69bo9bo78bo3bo16bob4o8b3o$68b2o5b2o3bo78b3o16b2obo9bo2bo$58b2o7bo5bobo
bo2bo79bo18bob2o7bo3b2o20b3o$58b2o6bo2bo3bo2bobobo99b2o9bo2bo14bo9bo$
65bo2bo4bo3b2o106b2o8bo12b2o5b2o3bo$64bo4bo4bo88b3o19b2o6bobo11bo5bobo
bo2bo$64bo3b3o4b3o116bo11bo2bo3bo2bobobo$65bob3o2b3o87b5o18bo19bo2bo4b
o3b2o$66b3o2bo2bo85bobo4bo16bobo11b2obob2o4bo4bo$67bo2bo3bo85bobo4bobo
14bobo10bo2b4o4b3o4b3o$70bo2bo86bobo4bobo15bo12bo4b7o2b3o$70b3o48b3o
38bo4bobo34b5o2bo2bo$114bo9bo38b5o6bo25bobo2b3o2bo3bo11b3o$113b2o5b2o
3bo47bobo25bo8bo2bo15bo$91b3o18bo5bobobo2bo38b3o5b2ob2o33b3o12b2o3bo$
94bo16bo2bo3bo2bobobo47bobo47bobobo2bo$67b4o19b2o3bo14bo2bo4bo3b2o50bo
48bo2bobobo$66b5o17bobobo2bo13bo4bo4bo74b2o2b2o5bo17bo3b2o$65bo3b2o17b
o2bobobo13bo3b3o4b3o70bo2bob2o4b3o13b3obo$66b2o20bo3b2o16bob3o2b3o74b
2o7b2o2bo11bo2bo2b3o$67bo17b3obo21b3o2bo2bo83b3o2bo9bo3bo$84bo2bo2b3o
19bo2bo3bo81bob2o2bo10bo2bo$83bo3bo27bo2bo81b7o11b3o2bo$83bo2bo28b3o
82bo3b2o16b3obob2o$76b3o4b3o2bo112b3o8bo8b3obo2bo$59b2o15b3o8b3obob2o
107bo3b2o3bobo6b3o4bo$58b3o16b2o7b3obo2bo42b3o67b2o2bo3bo5b3o3bo$57bob
2o13b2ob2o6b3o4bo6b2o38bo49bo19b2obob2o4b3o2bo$58bo16bobo8bo4bo7b2o11b
4o19b2o3bo47b3o18b6o6b2obo$76bo10bo2bo20b5o17bobobo2bo46bo3bo16bob4o8b
3o$88b2o20bo3b2o17bo2bobobo47b3o16b2obo9bo2bo$111b2o20bo3b2o50bo18bob
2o7bo3b2o20b3o$112bo17b3obo74b2o9bo2bo14bo9bo$129bo2bo2b3o76b2o8bo12b
2o5b2o3bo$67b3o58bo3bo59b3o19b2o6bobo11bo5bobobo2bo$67b3o21b2o35bo2bo
91bo11bo2bo3bo2bobobo$66bobo22b2o28b3o4b3o2bo57b5o18bo19bo2bo4bo3b2o$
67bo36b2o15b3o8b3obob2o49bobo4bo16bobo11b2obob2o4bo4bo$103b3o16b2o7b3o
bo2bo50bobo4bobo14bobo10bo2b4o4b3o4b3o$102bob2o13b2ob2o6b3o4bo51bobo4b
obo15bo12bo4b7o2b3o$103bo16bobo8bo4bo54bo4bobo34b5o2bo2bo$121bo10bo2bo
56b5o6bo25bobo2b3o2bo3bo11b3o$133b2o67bobo25bo8bo2bo15bo$193b3o5b2ob2o
33b3o12b2o3bo$202bobo47bobobo2bo$203bo48bo2bobobo$112b3o108b2o2b2o5bo
17bo3b2o$112b3o107bo2bob2o4b3o13b3obo$111bobo109b2o7b2o2bo11bo2bo2b3o$
112bo119b3o2bo9bo3bo$230bob2o2bo10bo2bo$123b2o104b7o11b3o2bo$123b2o
104bo3b2o16b3obob2o$230b3o8bo8b3obo2bo$231bo3b2o3bobo6b3o4bo$235b2o2bo
3bo5b3o3bo$133b3o82bo19b2obob2o4b3o2bo$126bo9bo80b3o18b6o6b2obo$125b2o
5b2o3bo78bo3bo16bob4o8b3o$115b2o7bo5bobobo2bo79b3o16b2obo9bo2bo$115b2o
6bo2bo3bo2bobobo80bo18bob2o7bo3b2o20b3o$122bo2bo4bo3b2o102b2o9bo2bo14b
o9bo$121bo4bo4bo111b2o8bo12b2o5b2o3bo$121bo3b3o4b3o86b3o19b2o6bobo11bo
5bobobo2bo$122bob3o2b3o120bo11bo2bo3bo2bobobo$123b3o2bo2bo88b5o18bo19b
o2bo4bo3b2o$124bo2bo3bo86bobo4bo16bobo11b2obob2o4bo4bo$127bo2bo87bobo
4bobo14bobo10bo2b4o4b3o4b3o$127b3o48b3o37bobo4bobo15bo12bo4b7o2b3o$
171bo9bo38bo4bobo34b5o2bo2bo$170b2o5b2o3bo38b5o6bo25bobo2b3o2bo3bo11b
3o$148b3o18bo5bobobo2bo48bobo25bo8bo2bo15bo$151bo16bo2bo3bo2bobobo39b
3o5b2ob2o33b3o12b2o3bo$124b4o19b2o3bo14bo2bo4bo3b2o50bobo47bobobo2bo$
123b5o17bobobo2bo13bo4bo4bo55bo48bo2bobobo$122bo3b2o17bo2bobobo13bo3b
3o4b3o72b2o2b2o5bo17bo3b2o$123b2o20bo3b2o16bob3o2b3o74bo2bob2o4b3o13b
3obo$124bo17b3obo21b3o2bo2bo75b2o7b2o2bo11bo2bo2b3o$141bo2bo2b3o19bo2b
o3bo84b3o2bo9bo3bo$140bo3bo27bo2bo83bob2o2bo10bo2bo$140bo2bo28b3o83b7o
11b3o2bo$133b3o4b3o2bo112bo3b2o16b3obob2o$116b2o15b3o8b3obob2o107b3o8b
o8b3obo2bo$115b3o16b2o7b3obo2bo42b3o64bo3b2o3bobo6b3o4bo$114bob2o13b2o
b2o6b3o4bo6b2o38bo67b2o2bo3bo5b3o3bo$115bo16bobo8bo4bo7b2o11b4o19b2o3b
o49bo19b2obob2o4b3o2bo$133bo10bo2bo20b5o17bobobo2bo48b3o18b6o6b2obo$
145b2o20bo3b2o17bo2bobobo47bo3bo16bob4o8b3o$168b2o20bo3b2o50b3o16b2obo
9bo2bo$169bo17b3obo55bo18bob2o7bo3b2o20b3o$186bo2bo2b3o72b2o9bo2bo14bo
9bo$124b3o58bo3bo82b2o8bo12b2o5b2o3bo$124b3o21b2o35bo2bo61b3o19b2o6bob
o11bo5bobobo2bo$123bobo22b2o28b3o4b3o2bo90bo11bo2bo3bo2bobobo$124bo36b
2o15b3o8b3obob2o52b5o18bo19bo2bo4bo3b2o$160b3o16b2o7b3obo2bo51bobo4bo
16bobo11b2obob2o4bo4bo$159bob2o13b2ob2o6b3o4bo52bobo4bobo14bobo10bo2b
4o4b3o4b3o$160bo16bobo8bo4bo53bobo4bobo15bo12bo4b7o2b3o$178bo10bo2bo
56bo4bobo34b5o2bo2bo$190b2o58b5o6bo25bobo2b3o2bo3bo11b3o$260bobo25bo8b
o2bo15bo$251b3o5b2ob2o33b3o12b2o3bo$260bobo47bobobo2bo$169b3o89bo48bo
2bobobo$169b3o109b2o2b2o5bo17bo3b2o$168bobo109bo2bob2o4b3o13b3obo$169b
o111b2o7b2o2bo11bo2bo2b3o$290b3o2bo9bo3bo$180b2o106bob2o2bo10bo2bo$
180b2o105b7o11b3o2bo$287bo3b2o16b3obob2o$288b3o8bo8b3obo2bo$289bo3b2o
3bobo6b3o4bo$190b3o100b2o2bo3bo5b3o3bo$183bo9bo82bo19b2obob2o4b3o2bo$
182b2o5b2o3bo80b3o18b6o6b2obo$172b2o7bo5bobobo2bo79bo3bo16bob4o8b3o$
172b2o6bo2bo3bo2bobobo80b3o16b2obo9bo2bo$179bo2bo4bo3b2o83bo18bob2o7bo
3b2o20b3o$178bo4bo4bo107b2o9bo2bo14bo9bo$178bo3b3o4b3o109b2o8bo12b2o5b
2o3bo$179bob3o2b3o90b3o19b2o6bobo11bo5bobobo2bo$180b3o2bo2bo121bo11bo
2bo3bo2bobobo$181bo2bo3bo89b5o18bo19bo2bo4bo3b2o$184bo2bo88bobo4bo16bo
bo11b2obob2o4bo4bo$184b3o48b3o38bobo4bobo14bobo10bo2b4o4b3o4b3o$228bo
9bo37bobo4bobo15bo12bo4b7o2b3o$227b2o5b2o3bo38bo4bobo34b5o2bo2bo$205b
3o18bo5bobobo2bo39b5o6bo25bobo2b3o2bo3bo11b3o$208bo16bo2bo3bo2bobobo
49bobo25bo8bo2bo15bo$181b4o19b2o3bo14bo2bo4bo3b2o42b3o5b2ob2o33b3o12b
2o3bo$180b5o17bobobo2bo13bo4bo4bo55bobo47bobobo2bo$179bo3b2o17bo2bobob
o13bo3b3o4b3o53bo48bo2bobobo$180b2o20bo3b2o16bob3o2b3o76b2o2b2o5bo17bo
3b2o$181bo17b3obo21b3o2bo2bo75bo2bob2o4b3o13b3obo$198bo2bo2b3o19bo2bo
3bo76b2o7b2o2bo11bo2bo2b3o$197bo3bo27bo2bo86b3o2bo9bo3bo$197bo2bo28b3o
85bob2o2bo10bo2bo$190b3o4b3o2bo113b7o11b3o2bo$173b2o15b3o8b3obob2o107b
o3b2o16b3obob2o$172b3o16b2o7b3obo2bo42b3o64b3o8bo8b3obo2bo$171bob2o13b
2ob2o6b3o4bo6b2o38bo64bo3b2o3bobo6b3o4bo$172bo16bobo8bo4bo7b2o11b4o19b
2o3bo67b2o2bo3bo5b3o3bo$190bo10bo2bo20b5o17bobobo2bo50bo19b2obob2o4b3o
2bo$202b2o20bo3b2o17bo2bobobo49b3o18b6o6b2obo$225b2o20bo3b2o50bo3bo16b
ob4o8b3o$226bo17b3obo55b3o16b2obo9bo2bo$243bo2bo2b3o53bo18bob2o7bo3b2o
20b3o$181b3o58bo3bo78b2o9bo2bo14bo9bo$181b3o21b2o35bo2bo84b2o8bo12b2o
5b2o3bo$180bobo22b2o28b3o4b3o2bo60b3o19b2o6bobo11bo5bobobo2bo$181bo36b
2o15b3o8b3obob2o85bo11bo2bo3bo2bobobo$217b3o16b2o7b3obo2bo54b5o18bo19b
o2bo4bo3b2o$216bob2o13b2ob2o6b3o4bo53bobo4bo16bobo11b2obob2o4bo4bo$
217bo16bobo8bo4bo54bobo4bobo14bobo10bo2b4o4b3o4b3o$235bo10bo2bo55bobo
4bobo15bo12bo4b7o2b3o$247b2o58bo4bobo34b5o2bo2bo$308b5o6bo25bobo2b3o2b
o3bo11b3o$318bobo25bo8bo2bo15bo$309b3o5b2ob2o33b3o12b2o3bo$226b3o89bob
o47bobobo2bo$226b3o90bo48bo2bobobo$225bobo111b2o2b2o5bo17bo3b2o$226bo
111bo2bob2o4b3o13b3obo$339b2o7b2o2bo11bo2bo2b3o$237b2o109b3o2bo9bo3bo$
237b2o107bob2o2bo10bo2bo$345b7o11b3o2bo$345bo3b2o16b3obob2o$346b3o8bo
8b3obo2bo$247b3o97bo3b2o3bobo6b3o4bo$240bo9bo100b2o2bo3bo5b3o3bo$239b
2o5b2o3bo82bo19b2obob2o4b3o2bo$229b2o7bo5bobobo2bo81b3o18b6o6b2obo$
229b2o6bo2bo3bo2bobobo80bo3bo16bob4o8b3o$236bo2bo4bo3b2o83b3o16b2obo9b
o2bo$235bo4bo4bo88bo18bob2o7bo3b2o20b3o$235bo3b3o4b3o105b2o9bo2bo14bo
9bo$236bob3o2b3o113b2o8bo12b2o5b2o3bo$237b3o2bo2bo91b3o19b2o6bobo11bo
5bobobo2bo$238bo2bo3bo122bo11bo2bo3bo2bobobo$241bo2bo91b5o18bo19bo2bo
4bo3b2o$241b3o48b3o39bobo4bo16bobo11b2obob2o4bo4bo$285bo9bo38bobo4bobo
14bobo10bo2b4o4b3o4b3o$284b2o5b2o3bo37bobo4bobo15bo12bo4b7o2b3o$262b3o
18bo5bobobo2bo39bo4bobo34b5o2bo2bo$265bo16bo2bo3bo2bobobo40b5o6bo25bob
o2b3o2bo3bo11b3o$238b4o19b2o3bo14bo2bo4bo3b2o52bobo25bo8bo2bo15bo$237b
5o17bobobo2bo13bo4bo4bo47b3o5b2ob2o33b3o12b2o3bo$236bo3b2o17bo2bobobo
13bo3b3o4b3o53bobo47bobobo2bo$237b2o20bo3b2o16bob3o2b3o57bo48bo2bobobo
$238bo17b3obo21b3o2bo2bo77b2o2b2o5bo17bo3b2o$255bo2bo2b3o19bo2bo3bo76b
o2bob2o4b3o13b3obo$254bo3bo27bo2bo78b2o7b2o2bo11bo2bo2b3o$254bo2bo28b
3o88b3o2bo9bo3bo$247b3o4b3o2bo115bob2o2bo10bo2bo$230b2o15b3o8b3obob2o
108b7o11b3o2bo$229b3o16b2o7b3obo2bo42b3o64bo3b2o16b3obob2o$228bob2o13b
2ob2o6b3o4bo6b2o38bo64b3o8bo8b3obo2bo$229bo16bobo8bo4bo7b2o11b4o19b2o
3bo64bo3b2o3bobo6b3o4bo$247bo10bo2bo20b5o17bobobo2bo68b2o2bo3bo5b3o3bo
$259b2o20bo3b2o17bo2bobobo51bo19b2obob2o4b3o2bo$282b2o20bo3b2o52b3o18b
6o6b2obo$283bo17b3obo55bo3bo16bob4o8b3o$300bo2bo2b3o53b3o16b2obo9bo2bo
$238b3o58bo3bo59bo18bob2o7bo3b2o20b3o$238b3o21b2o35bo2bo80b2o9bo2bo14b
o9bo$237bobo22b2o28b3o4b3o2bo83b2o8bo12b2o5b2o3bo$238bo36b2o15b3o8b3ob
ob2o55b3o19b2o6bobo11bo5bobobo2bo$274b3o16b2o7b3obo2bo87bo11bo2bo3bo2b
obobo$273bob2o13b2ob2o6b3o4bo56b5o18bo19bo2bo4bo3b2o$274bo16bobo8bo4bo
55bobo4bo16bobo11b2obob2o4bo4bo$292bo10bo2bo56bobo4bobo14bobo10bo2b4o
4b3o4b3o$304b2o57bobo4bobo15bo12bo4b7o2b3o$365bo4bobo34b5o2bo2bo$366b
5o6bo25bobo2b3o2bo3bo11b3o$376bobo25bo8bo2bo15bo$283b3o81b3o5b2ob2o33b
3o12b2o3bo$283b3o90bobo47bobobo2bo$282bobo92bo48bo2bobobo$283bo113b2o
2b2o5bo17bo3b2o$396bo2bob2o4b3o13b3obo$294b2o101b2o7b2o2bo11bo2bo2b3o$
294b2o110b3o2bo9bo3bo$404bob2o2bo10bo2bo$403b7o11b3o2bo$403bo3b2o16b3o
bob2o$304b3o97b3o8bo8b3obo2bo$297bo9bo97bo3b2o3bobo6b3o4bo$296b2o5b2o
3bo100b2o2bo3bo5b3o3bo$286b2o7bo5bobobo2bo83bo19b2obob2o4b3o2bo$286b2o
6bo2bo3bo2bobobo82b3o18b6o6b2obo$293bo2bo4bo3b2o83bo3bo16bob4o8b3o$
292bo4bo4bo88b3o16b2obo9bo2bo$292bo3b3o4b3o86bo18bob2o7bo3b2o20b3o$
293bob3o2b3o109b2o9bo2bo14bo9bo$294b3o2bo2bo114b2o8bo12b2o5b2o3bo$295b
o2bo3bo92b3o19b2o6bobo11bo5bobobo2bo$298bo2bo124bo11bo2bo3bo2bobobo$
298b3o48b3o42b5o18bo19bo2bo4bo3b2o$342bo9bo39bobo4bo16bobo11b2obob2o4b
o4bo$341b2o5b2o3bo38bobo4bobo14bobo10bo2b4o4b3o4b3o$319b3o18bo5bobobo
2bo38bobo4bobo15bo12bo4b7o2b3o$322bo16bo2bo3bo2bobobo40bo4bobo34b5o2bo
2bo$295b4o19b2o3bo14bo2bo4bo3b2o43b5o6bo25bobo2b3o2bo3bo11b3o$294b5o
17bobobo2bo13bo4bo4bo57bobo25bo8bo2bo15bo$293bo3b2o17bo2bobobo13bo3b3o
4b3o45b3o5b2ob2o33b3o12b2o3bo$294b2o20bo3b2o16bob3o2b3o57bobo47bobobo
2bo$295bo17b3obo21b3o2bo2bo58bo48bo2bobobo$312bo2bo2b3o19bo2bo3bo78b2o
2b2o5bo17bo3b2o$311bo3bo27bo2bo78bo2bob2o4b3o13b3obo$311bo2bo28b3o80b
2o7b2o2bo11bo2bo2b3o$304b3o4b3o2bo118b3o2bo9bo3bo$287b2o15b3o8b3obob2o
110bob2o2bo10bo2bo$286b3o16b2o7b3obo2bo42b3o65b7o11b3o2bo$285bob2o13b
2ob2o6b3o4bo6b2o38bo64bo3b2o16b3obob2o$286bo16bobo8bo4bo7b2o11b4o19b2o
3bo64b3o8bo8b3obo2bo$304bo10bo2bo20b5o17bobobo2bo65bo3b2o3bobo6b3o4bo$
316b2o20bo3b2o17bo2bobobo69b2o2bo3bo5b3o3bo$339b2o20bo3b2o54bo19b2obob
2o4b3o2bo$340bo17b3obo57b3o18b6o6b2obo$357bo2bo2b3o53bo3bo16bob4o8b3o$
295b3o58bo3bo59b3o16b2obo9bo2bo$295b3o21b2o35bo2bo61bo18bob2o7bo3b2o
20b3o$294bobo22b2o28b3o4b3o2bo79b2o9bo2bo14bo9bo$295bo36b2o15b3o8b3obo
b2o78b2o8bo12b2o5b2o3bo$331b3o16b2o7b3obo2bo57b3o19b2o6bobo11bo5bobobo
2bo$330bob2o13b2ob2o6b3o4bo89bo11bo2bo3bo2bobobo$331bo16bobo8bo4bo58b
5o18bo19bo2bo4bo3b2o$349bo10bo2bo57bobo4bo16bobo11b2obob2o4bo4bo$361b
2o58bobo4bobo14bobo10bo2b4o4b3o4b3o$421bobo4bobo15bo12bo4b7o2b3o$423bo
4bobo34b5o2bo2bo$424b5o6bo25bobo2b3o2bo3bo11b3o$340b3o91bobo25bo8bo2bo
15bo$340b3o82b3o5b2ob2o33b3o12b2o3bo$339bobo92bobo47bobobo2bo$340bo94b
o48bo2bobobo$455b2o2b2o5bo17bo3b2o$351b2o101bo2bob2o4b3o13b3obo$351b2o
102b2o7b2o2bo11bo2bo2b3o$464b3o2bo9bo3bo$462bob2o2bo10bo2bo$461b7o11b
3o2bo$361b3o97bo3b2o16b3obob2o$354bo9bo97b3o8bo8b3obo2bo$353b2o5b2o3bo
97bo3b2o3bobo6b3o4bo$343b2o7bo5bobobo2bo101b2o2bo3bo5b3o3bo$343b2o6bo
2bo3bo2bobobo84bo19b2obob2o4b3o2bo$350bo2bo4bo3b2o85b3o18b6o6b2obo$
349bo4bo4bo88bo3bo16bob4o8b3o$349bo3b3o4b3o86b3o16b2obo9bo2bo$350bob3o
2b3o90bo18bob2o7bo3b2o20b3o$351b3o2bo2bo110b2o9bo2bo14bo9bo$352bo2bo3b
o115b2o8bo12b2o5b2o3bo$355bo2bo94b3o19b2o6bobo11bo5bobobo2bo$355b3o48b
3o75bo11bo2bo3bo2bobobo$399bo9bo42b5o18bo19bo2bo4bo3b2o$398b2o5b2o3bo
39bobo4bo16bobo11b2obob2o4bo4bo$376b3o18bo5bobobo2bo39bobo4bobo14bobo
10bo2b4o4b3o4b3o$379bo16bo2bo3bo2bobobo39bobo4bobo15bo12bo4b7o2b3o$
352b4o19b2o3bo14bo2bo4bo3b2o43bo4bobo34b5o2bo2bo$351b5o17bobobo2bo13bo
4bo4bo48b5o6bo25bobo2b3o2bo3bo11b3o$350bo3b2o17bo2bobobo13bo3b3o4b3o
55bobo25bo8bo2bo15bo$351b2o20bo3b2o16bob3o2b3o49b3o5b2ob2o33b3o12b2o3b
o$352bo17b3obo21b3o2bo2bo58bobo47bobobo2bo$369bo2bo2b3o19bo2bo3bo59bo
48bo2bobobo$368bo3bo27bo2bo80b2o2b2o5bo17bo3b2o$368bo2bo28b3o80bo2bob
2o4b3o13b3obo$361b3o4b3o2bo110b2o7b2o2bo11bo2bo2b3o$344b2o15b3o8b3obob
2o113b3o2bo9bo3bo$343b3o16b2o7b3obo2bo42b3o67bob2o2bo10bo2bo$342bob2o
13b2ob2o6b3o4bo6b2o38bo65b7o11b3o2bo$343bo16bobo8bo4bo7b2o11b4o19b2o3b
o64bo3b2o16b3obob2o$361bo10bo2bo20b5o17bobobo2bo65b3o8bo8b3obo2bo$373b
2o20bo3b2o17bo2bobobo66bo3b2o3bobo6b3o4bo$396b2o20bo3b2o72b2o2bo3bo5b
3o3bo$397bo17b3obo59bo19b2obob2o4b3o2bo$414bo2bo2b3o55b3o18b6o6b2obo$
352b3o58bo3bo59bo3bo16bob4o8b3o$352b3o21b2o35bo2bo61b3o16b2obo9bo2bo$
351bobo22b2o28b3o4b3o2bo60bo18bob2o7bo3b2o20b3o$352bo36b2o15b3o8b3obob
2o74b2o9bo2bo14bo9bo$388b3o16b2o7b3obo2bo80b2o8bo12b2o5b2o3bo$387bob2o
13b2ob2o6b3o4bo59b3o19b2o6bobo11bo5bobobo2bo$388bo16bobo8bo4bo91bo11bo
2bo3bo2bobobo$406bo10bo2bo60b5o18bo19bo2bo4bo3b2o$418b2o59bobo4bo16bob
o11b2obob2o4bo4bo$479bobo4bobo14bobo10bo2b4o4b3o4b3o$479bobo4bobo15bo
12bo4b7o2b3o$481bo4bobo34b5o2bo2bo$397b3o82b5o6bo25bobo2b3o2bo3bo11b3o
$397b3o92bobo25bo8bo2bo15bo$396bobo84b3o5b2ob2o33b3o12b2o3bo$397bo94bo
bo47bobobo2bo$493bo48bo2bobobo$408b2o103b2o2b2o5bo17bo3b2o$408b2o102bo
2bob2o4b3o13b3obo$513b2o7b2o2bo11bo2bo2b3o$522b3o2bo9bo3bo$520bob2o2bo
10bo2bo$418b3o98b7o11b3o2bo$411bo9bo97bo3b2o16b3obob2o$410b2o5b2o3bo
97b3o8bo8b3obo2bo$400b2o7bo5bobobo2bo98bo3b2o3bobo6b3o4bo$400b2o6bo2bo
3bo2bobobo102b2o2bo3bo5b3o3bo$407bo2bo4bo3b2o87bo19b2obob2o4b3o2bo$
406bo4bo4bo90b3o18b6o6b2obo$406bo3b3o4b3o86bo3bo16bob4o8b3o$407bob3o2b
3o90b3o16b2obo9bo2bo$408b3o2bo2bo91bo18bob2o7bo3b2o20b3o$409bo2bo3bo
111b2o9bo2bo14bo9bo$412bo2bo117b2o8bo12b2o5b2o3bo$412b3o48b3o45b3o19b
2o6bobo11bo5bobobo2bo$456bo9bo75bo11bo2bo3bo2bobobo$455b2o5b2o3bo42b5o
18bo19bo2bo4bo3b2o$433b3o18bo5bobobo2bo40bobo4bo16bobo11b2obob2o4bo4bo
$436bo16bo2bo3bo2bobobo40bobo4bobo14bobo10bo2b4o4b3o4b3o$409b4o19b2o3b
o14bo2bo4bo3b2o42bobo4bobo15bo12bo4b7o2b3o$408b5o17bobobo2bo13bo4bo4bo
48bo4bobo34b5o2bo2bo$407bo3b2o17bo2bobobo13bo3b3o4b3o46b5o6bo25bobo2b
3o2bo3bo11b3o$408b2o20bo3b2o16bob3o2b3o59bobo25bo8bo2bo15bo$409bo17b3o
bo21b3o2bo2bo50b3o5b2ob2o33b3o12b2o3bo$426bo2bo2b3o19bo2bo3bo59bobo47b
obobo2bo$425bo3bo27bo2bo61bo48bo2bobobo$425bo2bo28b3o82b2o2b2o5bo17bo
3b2o$418b3o4b3o2bo110bo2bob2o4b3o13b3obo$401b2o15b3o8b3obob2o105b2o7b
2o2bo11bo2bo2b3o$400b3o16b2o7b3obo2bo42b3o70b3o2bo9bo3bo$399bob2o13b2o
b2o6b3o4bo6b2o38bo67bob2o2bo10bo2bo$400bo16bobo8bo4bo7b2o11b4o19b2o3bo
65b7o11b3o2bo$418bo10bo2bo20b5o17bobobo2bo65bo3b2o16b3obob2o$430b2o20b
o3b2o17bo2bobobo66b3o8bo8b3obo2bo$453b2o20bo3b2o69bo3b2o3bobo6b3o4bo$
454bo17b3obo77b2o2bo3bo5b3o3bo$471bo2bo2b3o57bo19b2obob2o4b3o2bo$409b
3o58bo3bo61b3o18b6o6b2obo$409b3o21b2o35bo2bo61bo3bo16bob4o8b3o$408bobo
22b2o28b3o4b3o2bo60b3o16b2obo9bo2bo$409bo36b2o15b3o8b3obob2o55bo18bob
2o7bo3b2o20b3o$445b3o16b2o7b3obo2bo76b2o9bo2bo14bo9bo$444bob2o13b2ob2o
6b3o4bo82b2o8bo12b2o5b2o3bo$445bo16bobo8bo4bo61b3o19b2o6bobo11bo5bobob
o2bo$463bo10bo2bo93bo11bo2bo3bo2bobobo$475b2o62b5o18bo19bo2bo4bo3b2o$
537bobo4bo16bobo11b2obob2o4bo4bo$537bobo4bobo14bobo10bo2b4o4b3o4b3o$
537bobo4bobo15bo12bo4b7o2b3o$454b3o82bo4bobo34b5o2bo2bo$454b3o83b5o6bo
25bobo2b3o2bo3bo11b3o$453bobo94bobo25bo8bo2bo15bo$454bo86b3o5b2ob2o33b
3o12b2o3bo$550bobo47bobobo2bo$465b2o84bo48bo2bobobo$465b2o104b2o2b2o5b
o17bo3b2o$570bo2bob2o4b3o13b3obo$571b2o7b2o2bo11bo2bo2b3o$580b3o2bo9bo
3bo$475b3o100bob2o2bo10bo2bo$468bo9bo98b7o11b3o2bo$467b2o5b2o3bo97bo3b
2o16b3obob2o$457b2o7bo5bobobo2bo98b3o8bo8b3obo2bo$457b2o6bo2bo3bo2bobo
bo99bo3b2o3bobo6b3o4bo$464bo2bo4bo3b2o105b2o2bo3bo5b3o3bo$463bo4bo4bo
92bo19b2obob2o4b3o2bo$463bo3b3o4b3o88b3o18b6o6b2obo$464bob3o2b3o90bo3b
o16bob4o8b3o$465b3o2bo2bo91b3o16b2obo9bo2bo$466bo2bo3bo92bo18bob2o7bo
3b2o20b3o$469bo2bo113b2o9bo2bo14bo9bo$469b3o48b3o68b2o8bo12b2o5b2o3bo$
513bo9bo45b3o19b2o6bobo11bo5bobobo2bo$512b2o5b2o3bo75bo11bo2bo3bo2bobo
bo$490b3o18bo5bobobo2bo43b5o18bo19bo2bo4bo3b2o$493bo16bo2bo3bo2bobobo
41bobo4bo16bobo11b2obob2o4bo4bo$466b4o19b2o3bo14bo2bo4bo3b2o43bobo4bob
o14bobo10bo2b4o4b3o4b3o$465b5o17bobobo2bo13bo4bo4bo47bobo4bobo15bo12bo
4b7o2b3o$464bo3b2o17bo2bobobo13bo3b3o4b3o46bo4bobo34b5o2bo2bo$465b2o
20bo3b2o16bob3o2b3o50b5o6bo25bobo2b3o2bo3bo$466bo17b3obo21b3o2bo2bo60b
obo25bo8bo2bo$483bo2bo2b3o19bo2bo3bo51b3o5b2ob2o33b3o$482bo3bo27bo2bo
61bobo$482bo2bo28b3o63bo$475b3o4b3o2bo112b2o2b2o$458b2o15b3o8b3obob2o
105bo2bob2o$457b3o16b2o7b3obo2bo42b3o62b2o10b3o$456bob2o13b2ob2o6b3o4b
o6b2o38bo76bobobo$457bo16bobo8bo4bo7b2o11b4o19b2o3bo78bo$475bo10bo2bo
20b5o17bobobo2bo71bo$487b2o20bo3b2o17bo2bobobo70b2ob5o$510b2o20bo3b2o
74b2o$511bo17b3obo80bo$528bo2bo2b3o78bo$466b3o58bo3bo$466b3o21b2o35bo
2bo$465bobo22b2o28b3o4b3o2bo70b2o$466bo36b2o15b3o8b3obob2o64b2o$502b3o
16b2o7b3obo2bo$501bob2o13b2ob2o6b3o4bo$502bo16bobo8bo4bo$520bo10bo2bo$
532b2o2$595b2o$595b2o$511b3o$511b3o$510bobo$511bo2$522b2o$522b2o63b2o$
587b2o3$532b3o$525bo9bo$524b2o5b2o3bo$514b2o7bo5bobobo2bo$514b2o6bo2bo
3bo2bobobo42b2o$521bo2bo4bo3b2o44b2o$520bo4bo4bo$520bo3b3o4b3o$521bob
3o2b3o$522b3o2bo2bo$523bo2bo3bo$526bo2bo$526b3o42b2o$571b2o2$547b3o$
550bo$523b4o19b2o3bo$522b5o17bobobo2bo$521bo3b2o17bo2bobobo$522b2o20bo
3b2o13b2o$523bo17b3obo17b2o$540bo2bo2b3o$539bo3bo$539bo2bo$532b3o4b3o
2bo$515b2o15b3o8b3obob2o$514b3o16b2o7b3obo2bo$513bob2o13b2ob2o6b3o4bo
6b2o$514bo16bobo8bo4bo7b2o$532bo10bo2bo$544b2o4$523b3o$523b3o21b2o$
522bobo22b2o$523bo!

[FWKnightship]

Even smaller 8c/58d spaceship:

Code: Select all

x = 190, y = 189, rule = B3ai4/S23
140bobo$142bo$139bo2bo$135b3o3bo$126bo8b2o3bo$125b3o12bo$124bobobob2o
5b3o$123bo5bob2o$122b3o5b2o$123bo$124bo$125bo6bo$126bo5bo$127bo3bo2bo$
128b2o4bo$129bo4bob3o$130b3ob2o$117b2o15b2o21b3o$117b2o37bo$129bo24b2o
3bo$128bobo22bo3bo$128bobo13bo8bo$129bo14bo8bo2bo$144bo10b2o$142b2o11b
2o$109b2o31b5o$109b2o$143bo3b2o3bo$143bo2bo4b3o17bo$138b2o3bo7bobo16b
4o$137bo2bo3b2o23bo2b2o$138b2o5bo$146bo17b2o$101b2o44bo12bo3b3o$101b2o
$168b3o$156b2o10b2o$157b2o9bo$154bo4bo$153bobo4bo$154bo$93b2o70bo$93b
2o11b2o57b2o$106b2o57b3o$107b2o58bo19b2o$101bo5bo50b2o27b2o$100b2o4bo
51b2o28b2o$99b3o80bo5bo$92b2o64bo22b2o4bo$85b2o6b2o8bo53bobo20b3o$85b
2o6b3o7b2o52bobo13b2o$103b2o53bo15b2o8bo$174b3o7b2o$184b2o$83bo$82b2o
13bo5bo$82b2o14bo$83bo15bo78bo5bo$81bo2bo15b3o64b2o2b2o6bo$80bo3bo15bo
2bo62bo2bob2o7bo$75b3o2bo2bo19bo63b2o12b3o$76bo4b2o13bobo2bobo77bo2bo$
77bo5bo12bo3b2o82bo$84b2o11bo79bobo2bobo$84bo13b3o76bo3b2o$178bo$179b
3o2$89b2o$89b2o$71bo98b2o$70b4o96b2o$69bo2b2o78bo$151b4o$64b2o84bo2b2o
$54b3o3bo3b3o$57bo23b2o62b2o$53b2o2bo10b3o10b2o52b3o3bo3b3o$51bobo2b2o
10b2o68bo23b2o$51bo6bo9bo65b2o2bo10b3o10b2o$51bo2bo4bo72bobo2b2o10b2o$
52bo7bo71bo6bo9bo$53b2o77bo2bo4bo$65bo67bo7bo$65b2o6b2o59b2o$65b3o5b2o
71bo$67bo78b2o6b2o$146b3o5b2o$46b2o100bo$46b2o$127b2o$127b2o$65b2o$52b
o12b2o$51b2o3b2o88b2o$53bobo2b4o71bo12b2o$38b2o14bo4b2o71b2o3b2o$38b2o
14bo2bo76bobo2b4o$55b2o62b2o14bo4b2o$119b2o14bo2bo$136b2o$53bobo$54b2o
$55bo78bobo$30b2o103b2o$30b2o11b2o91bo$43b2o66b2o$44b2o65b2o$38bo5bo$
37b2o4bo$36b3o$29b2o$22b2o6b2o8bo$22b2o6b3o7b2o$40b2o61b2o$103b2o2$20b
o$19b2o13bo5bo$19b2o14bo$20bo15bo$18bo2bo15b3o$17bo3bo15bo2bo54b2o$12b
3o2bo2bo19bo54b2o$13bo4b2o13bobo2bobo$14bo5bo12bo3b2o$21b2o11bo$21bo
13b3o3$87b2o$26b2o59b2o$26b2o6$79b2o$18b2o59b2o$18b2o11b2o$31b2o$32b2o
$26bo5bo$25b2o4bo$24b3o$17b2o52b2o$10b2o6b2o8bo42b2o$10b2o6b3o7b2o$28b
2o3$8bo$7b2o13bo5bo15b3o$7b2o14bo19bo3bo15b2o$8bo15bo17bo4bo15b2o$6bo
2bo15b2o15bo4bo$5bo3bo17bo14bo3bo$3o2bo2bo19b2o13b3o$bo4b2o13b2o15b3o$
2bo5bo12bo15bo3bo$9b2o12bo13bo7bo$9bo14b3o2bo2bo4bo3bo4bo8b2o$24bo13bo
2bo3b3o7b2o$24bo7bo7b2ob3o$25bo3b3o7b3ob2o$26bo15b2o$26b2o11b4o$26b2o
11bo2bo$41bo$37b2o2b3o3b2o$37b3o2b2o3b2o$39bo$40b2o$41bo$41bo3$39b2o$
25b2o12b2o$25b2o7bo$28b2o3b2o$29b3ob2o$30b2o2bo$31b2o$31bo$26bo3bo$27b
obo$28bo!

[DroneBetter]

Even smaller 8c/58d spaceship

Reduction (Catagolue), my idea had been to describe the edge-shifting mechanisms on either side algebraically, and I got to (24+29*n+11*(c-a)+12*(b-d),-24-29*n+12*(a-c)+11*(d-b))+t*(8,8)=(29,-31), a>0, b>0, c>0, d>0 (where n is the width, a and b are the shifts of the left one, c and d those of the right, and t is the "diagonal modulo" due to the block-trails' periodicities), then I realised (only after wasting this effort) that the shifts on either side by the same amount cancelled each other out so could both be removed, here is the minimal-apgcode (which I think means only lexicographically (at the canonical orientation) but is also in this case population-wise) RLE

Code: Select all

x = 98, y = 120, rule = B3ai4/S23
50bo$49b2o$47bo3bo$46bo3bo$45b2o3bo$47b3o$52b2o$36bo9bo$35b3o2b3o4bo$
34b2ob2o9bo$35b3o$36bo3b2o$39bo2bo$38b2o3bo$39b6o$40bo3b2o$45b2o$44b2o
18bo$27b2o15bo19bo$27b2o39bo$39bo26b2ob2o$38bobo24bo3bo$38bobo20bo3bo$
39bo22bo2bo2bo$54bo8bo2b2o$53b3o10bo$19b2o31b2ob2o$19b2o35b2o$56bobo3b
o$28b3o25bo2bo2bo$27bo3bo16b2o5b2o2bo2bo$26bo4bo15bo2bo5b3o21b3o$26bo
4bo16b2o7bo3bo13bo5bo$26bo3bo29b3o11bobo3bo$11b2o14b3o29b2o4b2o7bobo2b
o$11b2o9b3o35bo16b3o$21bo3bo39b3ob3o5b2o$6bobo12bo7bo38bo2bo5bo$8bo12b
o3bo4bo30bobo5b3o$7bo3bo10bo2bo3b3o29bobo$24b2ob3o33bo$7b3o4b2o7b3ob2o
35bo$8bo5b2o8b4o37bo5bo$7bo17b2o39bo$7b2o17bo40b2o3b3obo$8bo58b4ob2ob
2o$69b2obo2b2o20bo$70bo2b2o21b2o$95bobo$68bo24b2o$67bobo22b2o$67bobo
21b3o$68bo13b3o9b2o$15b2o65b2o12bo$15b2o64bo2bo9b2o$25b2o54bob2o$24bo
2bo54b3o$24bo3bo57bo3b3o$28bo52b3o6bobo$23bo4bo48b2o3b2o6bobo$21b2obo
51bo2bo3b2o6bo$7b2o13b2ob3o49b2o4b2o7bo$7b2o13bo62bo6bobo$21b2o63bo5bo
bo$13b3o3b3o65bo4bobo$13bobo4b2o66b5o$14b2o2bo2bo$5bo11bob3o3bo63b3o$
4bobo3b2o4b3ob2o4bo$4bobo3b2o$5bo$21bo58b2o$b3o16b3o57b2o$3b2o16bo$2b
2o5$72b2o$11b2o13b3o43b2o$11b2o11bo4bo$17bo6bo5bo$16b2o6bo5bo$16b2o7bo
2b2o$8b2o7bo6bobo$7bo2bo2bo4bo3b4o$7bobobo10bo2bo38b2o$3b2o2b2o2b4o49b
2o$3b2o7b2ob2o4$19b3o$19bobo18b3o$20b2o17bo16b2o$37b2o3bo13b2o$36bo3bo
$27bo8bo$bobo22b2o8bo2bo$bobo21bob2o9b2o$24bo3b2o8b2o$o2bo19b3obob2o$b
2o22b2obob3o15b2o$26b2o3bo16b2o$27b2obo$28b2o6b4o$22bo5bo8b2o$20bo3bo
8bo$20bo3bo8b2o$22bo11b2o$33b2o5b2o$40b2o2$34bo$32b2obo$31bo3bo$31bo4b
o$31bo3bo$33b2o!

Edit: That one strangely has the lowest minimum population, but its average population and length could be reduced by some rephasing (I think I forgot to rephase the frontend initially when making the back more compact), and then again by overclocking (the block-stream-shifting engines work arbitrarily far apart or at this distance, but not in between)

[DroneBetter]

Two new oscillators were found in C4_1 by Inferno (who searched less than a thousandth of some other symmetries), xp60_googy4f6zy28k2k8zxgox1y04cc4zx13 and xp60_1331y36fzgy0272z73y34664, that are hasslers of xp21_ehhhe that involve a similar "overclocking" reaction to xp18_ggw33x33wggzhhx4aha4xhhz11wooxoow11, but periodic. From some manual experimenting with other oscillators, those that I've found can hassle it similarly are xp3_mnz31 to make xp18_xmny38oo0oogzx31wg848gzggg0ggw121xosz0110111y3e6, xp6_3524253z6199916 to make xp18_yb3lacal3zggxggy43488843zhalehwhey2gz11x11y3131y1s2112sal3zy5g84448gy312210123zy5hakckahzy511x11, xp5_0ca9acz3dhvhd3 to make xp60_y3ca9aczy23d9d9d3y0gwsk2u0s48gzy52wg8k8gx32470321zg84s0u2kswg0121x4z012307423y3cb9b9bczyd35953, and xp20_33zw71fkzy433 to make xp60_y533w66zy1kf17wggg012baexggzgj3y2el0l0ley2op1z11xeaq8g0111wsgu5zy6ccwoo, here they are.

Code: Select all

x = 84, y = 52, rule = B3ai4/S23
9b2o3b2o$9bobobobo$10bobobo$11b3o$10bo3bo$9bo5bo32b2o$9bo5bo31bo$10bo
3bo24bo8b2o$11b3o20bob3obo7b2o$24b2o3b2o3bob3obo7b2o$23bo2bobobo4bo14b
o$22bo4bobo18b2o$22bo4b2o$22bo4bobo13bo$15bo7bo2bobobo11b3o$2o3b2o7b3o
7b2o3b2o12bo$obobo2bo7bo$bobo4bo28b2o$2b2o4bo27bo14bo$bobo4bo28b2o7bob
3obo$obobo2bo29b2o7bob3obo$2o3b2o30b2o8bo$17b3o19bo$16bo3bo16b2o11bo$
15bo5bo27bobo$15bo5bo26bo3bo20b2o$16bo3bo27b5o16b2o2bob2o$17b3o49b2o3b
4o$16bobobo26b7o10bo9b2o2bo$15bobobobo6bo7b2o9bo5bo9b2o10bo3bo$15b2o3b
2o5b2o4b2obob2o8bobobo9bobo11bob3o$4o8bo14b2o3bobobo3bo7bo3bo8bo$b2o8b
2o15bo2bo2bobobob2o7b3o8b2o2bo$11b2o3b4o12bobobo3bo9bo9b4o$12bo4b2o14b
2obob2o19bob2o$36b2o21b2o20b2o$6bo17bo20bo25bo9b2o$5b3o15b3o18b3o23b3o
$6bo17bo20bo14b2o9bo$53b2o5b2o20b2o$o29b2o19b2obob2o22b2obo$2o27b4o7bo
9bo3bobobo20b4o$2o8b2o8bo18b3o7b2obobobo2bo18bo2b2o$o8b4o7b2o16bo3bo7b
o3bobobo22bo$20b2o16bobobo8b2obob2o4b3obo11bobo$20bo16bo5bo9b2o8bo3bo
10b2o$37b7o20bo2b2o9bo$65b4o3b2o$38b5o23b2obo2b2o$38bo3bo25b2o$39bobo$
40bo!

[hotcrystal0]

A rule one transition away(added B2i) has a natural 15c/50.

Code: Select all

x = 9, y = 11, rule = B2i3ai4/S23
4bo$4bo$4bo3$bo5bo$3o3b3o$bo5bo$2bobobo$3b3o$4bo!

[hotcrystal0]

I know this is a double post, but I am currently apgsearching the rule.

Edit: I think I found a new P13 in C4_4.

Code: Select all

x = 16, y = 16, rule = B3ai4/S23
11b2o$11b2o2$2o4b2o$2o3bo2bo$5bo3b3o$5bo6bo$4bo2b2o3bo$3bo3b2o2bo$3bo6bo$4b3o
3bo$7bo2bo3b2o$8b2o4b2o2$3b2o$3b2o!

[DroneBetter]

Some other things not already here, googolplex discovered xp42_0ccw33x33wcczooy9oozy3757zy3sksz33y933z066wooxoow66, a variant of the p42 shuttle that doesn't depend on beehives, by having stabilising blocks on the opposite sides, and in C4_1 I found xp15_xgg02552y1oozx1104csw8cey0ciczcicy0sc4wec8zy066y1g88g033zy811, a four-loaf hassler, and xp13_y335izy4131xgog08kczca40272y0gx1zy61j9gzy811, a four-tub/traffic light hassler (found eight days after hotcrystal0's C4_4) with two other variants known thus far, and xp18_8kk8y033w696zccxsa1b1asxoozwg8g012321w8kk8zw121w33, a p18 single-tub/traffic light overclocker similar xp18_ggw33x33wggzhhx4aha4xhhz11wooxoow11 (that uses blocks in D8_1 symmetry) and xp18_xmny38oo0oogzx31wg848gzggg0ggw121xosz0110111y3e6 and xp18_yb3lacal3zggxggy43488843zhalehwhey2gz11x11y3131y1s2112sal3zy5g84448gy312210123zy5hakckahzy511x11, that use Inferno's p60 reaction but with different oscillators, but this one dissipates the sparks with a different mechanism with a temporary but reforming block (though that is unfortunately not general enough to substitute block pairs in other oscillators like xp42_ccw33x33wcczzooy0757y0oozy033x33).

Code: Select all

x = 72, y = 21, rule = B3ai4/S23
39b2o$38bo2bo$8b2o10b2o17b2o22b2o3bo$2b2o4b2o10b2o4b2o19b2o14b2o2bobo$
2b2o22b2o7b2o10b2o7b2o9bobo$35b2o18bo2bo9bo$45bo5bo4b2o$2o26b2o8b3o3b
2o4bobo9b3o$2o26b2o9b2o2b3o4bobo8bobobo$10b3o4b3o20bo10bo3b2o3bo5bo$
10bobo4bobo35b2o3b2obob2o3b2o$10b3o4b3o13bo10bo15bo5bo3b2o$2o26b2o2bob
o4b3o2b2o15bobobo$2o26b2o2bobo4b2o3b3o15b3o$33bo5bo29b2o$48b2o8bo9bo2b
o$2b2o22b2o8b2o10b2o7bobo9b2o$2b2o4b2o10b2o4b2o8b2o19bobo2b2o$8b2o10b
2o22b2o12bo3b2o$43bo2bo$44b2o!

b2i3ai4s23 has xq50_eeeexvhhe

My favourite such neighbouring rule is b3ai4s236a, it has xq72_wvrhrvzsoz1, a (3,3)*c/72 spaceship made of the xp4_6f and xp13_vrhrv (its variant of the xp21_ehhhe, which all phases of the ehhhe evolve into and vice versa when the rule is changed).

Code: Select all

x = 7, y = 11, rule = B3ai4/S236a
2b5o$2b2ob2o$2bo3bo$2b2ob2o$2b5o3$o$2o$2o$o!

Edit: I forgot to mention, Catagolue user Bo.Chen781121@gmail.com began searching C2_2 and found xp3_04sg4sj3z33, an 18-cell slightly sparky p3 (that is notable due to there only being one other such one) that hadn't occurred in any other cenuses (that had up to 1176 times the soup count).

[hotcrystal0]

Edit: I forgot to mention, Catagolue user Bo.Chen781121@gmail.com began searching C2_2 and found xp3_04sg4sj3z33, an 18-cell slightly sparky p3 (that is notable due to there only being one other such one) that hadn't occurred in any other cenuses (that had up to 1176 times the soup count).

Isn't that me?

[DroneBetter]

Isn't that me?

I didn't know, it wasn't named hotcrystal0, however you may be interested to know that you have also discovered xp14_0g8g33wccz1242hgx4aha4zy011w66, a new elementary mechanism that acts as a bidirectional high-clearance pipsquirter (albeit with a secondary spark), though it cannot be supported by xp14_y1gw253zg8g0131z11

Code: Select all

x = 14, y = 13, rule = B3ai4/S23
4b2o$4b2o$8b2o$2bo5b2o$bobo$o3bo6bo$bobo6bobo$2bo6bo3bo$10bobo$4b2o5bo$4b2o$8b2o$8b2o!

Edit: Also xp7_33goc21icz69g8631oo, comprised of two xp8_w4co33z33s overclocking each other and the smallest period-7 oscillator,

Code: Select all

x = 9, y = 10, rule = B3ai4/S23
2o4bo$2o3bobo$4bo3bo$3b2o3bo$2b2o3bo$bo3b2o$o3b2o$o3bo$bobo3b2o$2bo4b2o!

[hotcrystal0]

Isn't that me?

I didn't know, it wasn't named hotcrystal0, however you may be interested to know that you have also discovered xp14_0g8g33wccz1242hgx4aha4zy011w66, a new elementary mechanism that acts as a bidirectional high-clearance pipsquirter (albeit with a secondary spark), though it cannot be supported by xp14_y1gw253zg8g0131z11

Code: Select all

x = 14, y = 13, rule = B3ai4/S23
4b2o$4b2o$8b2o$2bo5b2o$bobo$o3bo6bo$bobo6bobo$2bo6bo3bo$10bobo$4b2o5bo$4b2o$8b2o$8b2o!

Edit: Also xp7_33goc21icz69g8631oo, comprised of two xp8_w4co33z33s overclocking each other and the smallest period-7 oscillator,

Code: Select all

x = 9, y = 10, rule = B3ai4/S23
2o4bo$2o3bobo$4bo3bo$3b2o3bo$2b2o3bo$bo3b2o$o3b2o$o3bo$bobo3b2o$2bo4b2o!

Did you remember to put the oscs in the stamp?

[hotcrystal0]

Here's the incomplete improved version of the stamp:

Code: Select all

x = 225, y = 679, rule = B3ai4/S23History
81.A10.A$79.2A.2A6.2A.2A$89.A5.A$78.A.3A.A4.A.3A.A$62.6D10.A.3A.A3.A2.
3A2.A$62.6D3.2A.A3.A.3A.A4.A.3A.A$66.2D3.A3.A13.A5.A$66.2D4.2A.A3.2A.
2A6.2A.2A$62.6D4.2A7.A10.A$62.6D4.A$62.2D28.A2.3A$62.2D14.3A.3A6.A.A$
62.6D22.A.2A.A$62.6D3.3A6.A.A8.3A.A$96.A$78.3A.3A5.A.2A.A$90.A3.A$90.
A5$72.2A.A.2A8.2A2.F47.2A$72.A5.A8.2A2.F49.A$73.2A.2A4.2A.2A4.F47.A2.
A$62.6D5.A3.A5.A2.A4.F48.A2.A2.A$62.6D5.5A5.2A.2A3.F49.A2.A.2A$66.2D4.
A5.A2.2A8.F50.A.A.A$66.2D5.2A.2A3.2A8.F53.A$62.6D7.A15.F3.2A6.A38.A2.
A$62.6D23.F5.A5.2A2.2A35.A$66.2D12.2A9.F3.A2.3A4.A3.A5.2A25.2A$66.2D12.
A.A2.2A4.F7.3A3.A3.A.2A2.2A5.2A$62.6D7.A5.A.2A.A4.F8.A3.2A.A2.3A.A.A7.
A14.2A$62.6D6.A.A7.2A5.F5.3A3.A.A.A6.3A7.2A15.A$74.A6.2A2.A5.F4.A3.A3.
2A.A2.3A.2A2.A5.A14.A2.A$73.A2.A6.A2.A4.F3.A3.3A3.A3.A.2A4.2A2.4A8.2A
5.A2.A2.A$75.A4.A2.A.A.A3.F3.A2.3A4.A3.A6.A.A3.2A.A7.A.2A4.A2.A.2A$73.
A.A4.2A4.2A3.F5.A5.2A2.2A7.A.A3.A3.A4.3A3.A.A2.A.A.A$74.A16.F3.2A6.A16.
2A.A2.2A.2A2.A.A.A2.A4.A$91.F26.2A6.2A.2A2.A.A.A2.A.A2.A$125.2A4.3A3.
A.A4.A$125.2A6.A.2A5.2A$133.2A4$104.2A5.2A$104.A.A3.A.A17.F12.A$90.2A
13.3A.3A18.F8.2A.3A$90.A.A13.A3.A19.F6.4A2.A$62.2D2.2D2.2A6.2A11.A13.
2A3.2A18.F5.2A$62.2D2.2D2.2A6.2A12.A11.2A2.A2.2A8.2A.A.2A2.F4.6A2.A$62.
2D2.2D5.4A16.A4.2A3.A.A2.A2.A.A3.2A2.A.A.A.A2.F3.A.A3.A2.A$62.2D2.2D4.
2A2.2A4.2A8.3A3.A.A.4A5.4A.A.A3.2A.2A3.F9.A3.2A$62.6D2.A.2A2.2A.A2.A.
A7.2A5.4A11.4A6.A5.F5.A.A.A2.3A.3A$62.6D2.2A6.2A4.2A8.A5.A15.A5.2A.2A
3.F7.3A6.3A$66.2D18.A8.2A6.2A7.2A7.A.A.A.A2.F5.A.A.A2.3A.3A$66.2D19.A
6.A5.A15.A4.2A.A.2A2.F9.A3.2A$66.2D3.2A3.2A4.3A.3A3.2A5.4A11.4A12.F3.
A.A3.A2.A$66.2D3.2A3.2A9.A4.3A3.A.A.4A5.4A.A.A11.F4.6A2.A$74.A11.A6.A
4.2A3.A.A2.A2.A.A3.2A4.2A5.F5.2A$73.3A8.2A6.A11.2A2.A2.2A9.A2.A4.F6.4A
2.A$71.A.3A.A4.A.A6.A13.2A3.2A10.A2.A4.F8.2A.3A$71.2A3.2A4.2A6.A.A13.
A3.A19.F12.A$90.2A13.3A.3A18.F$104.A.A3.A.A$104.2A5.2A5$62.6D7.3A7.3A
$62.6D6.A.A.A5.A.A.A$62.2D10.A.A.A5.A.A.A$62.2D9.A2.A2.A3.A2.A2.A$62.
6D5.7A3.7A$62.6D4.A7.A$66.2D5.7A4.5A$66.2D5.A2.A2.A4.A3.A$62.6D6.A.A.
A6.A.A$62.6D6.A.A.A7.A$75.3A6$62.6D$62.6D$62.2D8.2A4.2A$62.2D8.A.A2.A
$62.6D5.A3.A2.A$62.6D6.A2.A2.A$62.2D2.2D5.A3.A2.A$62.2D2.2D4.A.A2.A$62.
6D4.2A4.2A$62.6D9$80.2A$74.2A4.2A4.2A$62.6D6.2A.3A2.3A.2A$62.6D8.A8.A
6.2A4.A$66.2D7.A10.A5.2A3.A.A$66.2D7.A2.2A2.2A2.A9.A3.A$66.2D7.A2.A4.
A2.A8.2A3.A$66.2D5.2A12.2A5.2A3.A$66.2D5.2A12.2A4.A3.2A$66.2D7.A2.A4.
A2.A5.A3.2A$66.2D7.A2.2A2.2A2.A5.A3.A$66.2D7.A10.A6.A.A3.2A$76.A8.A8.
A4.2A$74.2A.3A2.3A.2A$74.2A4.2A4.2A$80.2A5$62.6D$62.6D11.2A$62.2D2.2D
11.2A$62.2D2.2D8.2A$62.6D7.A2.A$62.6D7.2A.A$62.2D2.2D6.A.2A$62.2D2.2D
6.2A$62.6D$62.6D5$96.2A$95.A2.A$96.2A2$77.A.A.A$61.2D4.2D7.A.A.A.A$61.
2D4.2D6.A7.A11.2A$61.2D4.2D5.A9.A4.A4.A.A$61.2D4.2D4.A11.A2.A.A3.3A$61.
2D4.2D5.A4.A4.A3.A.A8.2A$61.2D4.2D4.A4.3A4.A3.A8.A.A$61.2D4.2D5.A4.A4.
A12.A.A8.A$61.2D4.2D4.A11.A11.2A8.A.A$61.2D4.2D5.A9.A16.3A3.A.A$61.2D
4.2D6.A7.A17.A.A4.A$76.A.A.A.A18.2A$77.A.A.A3$100.2A$99.A2.A$100.2A5$
61.2B2.6B$61.2B2.6B10.A$61.2B6.2B9.A.A$61.2B6.2B9.A$61.2B2.6B8.A2.A.4A
$61.2B2.6B4.2A4.A3.2A$61.2B2.2B7.4A.A.A$61.2B2.2B13.A$61.2B2.6B$61.2B
2.6B3$81.2A$81.A.A$82.A$108.2A$83.A24.2A$82.3A$61.2D2.6D12.A13.2A4.2A
$61.2D2.6D22.2A2.2A3.A2.A$61.2D6.2D18.A2.A.A7.A3.3A$61.2D6.2D17.3A2.A
8.A6.A$61.2D2.6D8.A9.A11.A2.2A3.A$61.2D2.6D4.A2.3A19.A3.2A2.A$61.2D6.
2D3.A.A2.A20.A6.A$61.2D6.2D3.2A25.3A3.A$61.2D2.6D14.A18.A2.A3.2A$61.2D
2.6D13.3A18.2A4.2A$85.A$100.2A$86.A13.2A$85.A.A$86.2A6$61.2D2.2D2.2D$
61.2D2.2D2.2D13.2A11.2A$61.2D2.2D2.2D12.A.A5.2A4.2A$61.2D2.2D2.2D13.A
6.2A7.2A$61.2D2.6D29.2A$61.2D2.6D8.3A12.3A$61.2D6.2D8.A.A12.A.A$61.2D
6.2D8.3A12.3A$61.2D6.2D$61.2D6.2D5.A17.A$75.A.A15.A.A$75.2A16.2A4$85.
2A14.2A$85.2A13.A2.A$101.2A$61.2D2.6D38.2A$61.2D2.6D26.2A10.2A$61.2D2.
2D30.2A$61.2D2.2D15.3A22.A5.A$61.2D2.6D12.A16.3A3.2A4.A.A$61.2D2.6D9.
A3.A.A14.2A2.3A4.A.A$61.2D6.2D9.2A3.2A15.A10.A$61.2D6.2D9.A.A3.A$61.2D
2.6D3.2A7.A6.2A3.A10.A$61.2D2.6D3.2A6.3A5.2A2.A.A4.3A2.2A$94.A.A4.2A3.
3A$95.A5.A$110.2A$85.2A11.2A10.2A$85.2A11.2A$106.2A$105.A2.A$106.2A19.
2A3.2A$127.2A3.2A3$125.A9.A$125.2A3.A3.2A$125.2A2.A.A2.2A$125.A2.A.A.
A2.A$129.A.A$130.A3$59.2D2.6D7.4A6.4A12.4A11.4A9.A9.4A$59.2D2.6D8.2A8.
2A14.2A13.2A9.A.A9.2A$59.2D2.2D28.2A18.2A14.A.A14.2A$59.2D2.2D11.A12.
A3.2A7.A10.2A5.A9.A9.A5.2A$59.2D2.6D6.A.A10.A.A10.A.A15.A.A4.2A5.2A4.
A.A$59.2D2.6D5.A.A.A8.A.A.A8.A.A.A13.A.A.A2.A2.A3.A2.A2.A.A.A$59.2D2.
2D2.2D6.A.A10.A.A10.A.A15.A.A4.2A5.2A4.A.A$59.2D2.2D2.2D2.2A3.A12.A3.
2A2.2A3.A6.2A2.2A5.A9.A9.A5.2A$59.2D2.6D2.2A20.2A2.2A10.2A2.2A14.A.A14.
2A$59.2D2.6D8.2A8.2A14.2A13.2A9.A.A9.2A$76.4A6.4A12.4A11.4A9.A9.4A3$130.
A$129.A.A$125.A2.A.A.A2.A$125.2A2.A.A2.2A$125.2A3.A3.2A$125.A9.A2$81.
2A$63.2D2.6D7.A2.A43.2A3.2A$63.2D2.6D8.2A44.2A3.2A$63.2D6.2D4.2A$63.2D
6.2D4.A.A$63.2D6.2D5.A55.2A3.2A$63.2D6.2D9.A51.A.A.A.A$63.2D6.2D8.A.A
5.A45.A.A.A$63.2D6.2D8.A2.A3.A.A$63.2D6.2D9.2A4.A.A$63.2D6.2D16.A45.5A
$86.A47.A5.A$85.A.A46.A5.A$86.2A48.3A34.A$119.2A4.2A44.2A.A2.A$98.A20.
A.A2.A46.2A.A.A.A$97.A.A20.A3.A2.A37.2A4.2A.A.A.A$80.2A3.2A10.A9.A.A11.
A2.A2.A36.A2.A5.A.A.A$60.2D2.6D10.2A3.2A9.A2.A6.A3.2A8.A3.A2.A6.A30.2A
$60.2D2.6D28.A8.2A3.A6.A.A2.A8.3A31.A$60.2D2.2D2.2D26.A.A10.A.A7.2A4.
2A5.2A.2A5.2A4.2A14.3A5.A$60.2D2.2D2.2D6.2A11.2A6.A35.3A8.A2.A.A13.A3.
A3.3A4.3A$60.2D2.6D6.2A5.A5.2A12.A30.A6.A2.A3.A15.3A3.2A.2A3.3A$60.2D
2.6D12.3A17.3A36.A2.A2.A16.3A4.3A3.A3.A$60.2D2.2D2.2D11.2A.2A15.2A.2A
35.A2.A3.A23.A5.3A$60.2D2.2D2.2D12.3A17.3A39.A2.A.A27.A$60.2D2.6D6.2A
5.A5.2A12.A38.2A4.2A28.2A$60.2D2.6D6.2A11.2A18.A20.3A34.A.A.A5.A2.A$95.
A.A10.A.A17.A5.A31.A.A.A.2A4.2A$94.A3.2A8.A19.A5.A31.A.A.A.2A$80.2A3.
2A8.2A3.A6.A2.A18.5A33.A2.A.2A$80.2A3.2A10.A.A9.A61.A$107.A.A$108.A20.
A.A.A$128.A.A.A.A$128.2A3.2A3$125.2A5.2A$124.A2.A3.A2.A$125.2A5.2A2$186.
2A$125.2A5.2A30.F21.2A$124.A.2A3.2A.A29.F$123.2A.A5.A.2A28.F2.A$124.2A
7.2A29.F.A.A3.2A$88.2A18.2A54.F2.2A2.A.A13.3A$88.2A18.2A39.2A13.F6.3A
9.2A2.A.A11.A$59.6D2.6D21.A8.A45.2A13.F17.A.A3.2A10.A.A3.2A$59.6D2.6D
20.3A6.3A13.A21.A14.A8.F18.A17.2A2.A.A$63.2D2.2D2.2D20.A2.A4.A2.A7.A4.
3A19.3A4.A7.3A4.A2.F40.3A$63.2D2.2D2.2D3.2A16.3A4.3A7.A.A2.A2.A19.A2.
A2.A.A6.A2.A2.A.A.F5.2A$59.6D2.2D2.2D3.2A17.A6.A8.A.A2.3A21.3A2.A.A7.
3A2.A.A.F5.2A$59.6D2.2D2.2D39.A4.A23.A4.A9.A4.A2.F$59.2D6.2D2.2D91.F7.
3A29.2A$59.2D6.2D2.2D6.A84.F25.3A11.2A$59.6D2.6D4.4A14.A6.A61.F5.2A$59.
6D2.6D4.5A12.3A4.3A8.A4.A23.A4.A9.A4.A2.F5.2A$82.A10.A2.A4.A2.A6.A.A2.
3A21.3A2.A.A7.3A2.A.A.F$80.2A11.3A6.3A6.A.A2.A2.A19.A2.A2.A.A6.A2.A2.
A.A.F$94.A8.A8.A4.3A19.3A4.A7.3A4.A2.F$84.2A2.2A18.2A8.A21.A14.A8.F6.
3A9.A$84.2A2.2A18.2A39.2A13.F2.2A2.A.A8.A.A3.2A$149.2A13.F.A.A3.2A9.2A
2.A.A$164.F2.A19.3A$124.2A7.2A29.F$123.2A.A5.A.2A28.F$124.A.2A3.2A.A29.
F$125.2A5.2A30.F21.2A$164.F21.2A$164.F$125.2A5.2A30.F$124.A2.A3.A2.A29.
F$125.2A5.2A$62.6D2.2D$62.6D2.2D8.3A$66.2D2.2D7.A3.A$66.2D2.2D6.A5.A$
62.6D2.2D6.A5.A$62.6D2.2D6.A5.A$62.2D6.2D7.A3.A$62.2D6.2D8.3A$62.6D2.
2D$62.6D2.2D6$82.2A.A.2A$82.A5.A$50.2A2.2A2.2A3.2A2.2A2.2A11.A.A$50.2A
2.2A2.2A3.2A2.2A2.2A$83.A3.A$83.A3.A$58.2A11.2A12.A$58.2A11.2A2.2A8.A
$74.A.A7.3A$75.A9.A$50.2A2.2A2.2A3.2A2.2A2.2A5.2A$50.2A2.2A2.2A3.2A2.
2A2.2A5.2A$85.A$84.3A$50.2A11.2A20.A$50.2A11.2A10.A$74.3A$75.A$50.2A2.
2A2.2A3.2A2.2A2.2A5.2A2.2A3.2A$50.2A2.2A2.2A3.2A2.2A2.2A5.2A2.2A3.2A$
75.A$74.A.A$74.2A2.2A14.2A$78.2A14.2A4$81.A10.A$81.2A8.2A$50.2A2.2A2.
2A3.2A2.2A2.2A9.2A6.2A9.2A$50.2A2.2A2.2A3.2A2.2A2.2A28.2A2$76.2A18.2A
$58.2A9.2A6.2A16.2A$58.2A9.2A7.A4.2A4.2A4.A$83.2A4.2A2$50.2A2.2A2.2A3.
2A2.2A2.2A$50.2A2.2A2.2A3.2A2.2A2.2A2$83.2A4.2A$50.2A17.2A7.A4.2A4.2A
4.A$50.2A17.2A6.2A16.2A$76.2A18.2A$108.2A4.2A$50.2A2.2A2.2A3.2A2.2A2.
2A28.2A5.2A4.2A$50.2A2.2A2.2A3.2A2.2A2.2A9.2A6.2A9.2A$81.2A8.2A$81.A10.
A14.A8.A$104.4A8.4A$50.2A2.2A2.2A3.2A2.2A2.2A32.2A4.2A4.2A$50.2A2.2A2.
2A3.2A2.2A2.2A37.A2.A$78.2A14.2A15.2A$78.2A14.2A$58.2A11.2A$58.2A11.2A
25.A9.2A4.2A9.A$98.2A8.2A4.2A8.2A$98.2A24.2A$50.2A2.2A2.2A11.2A24.2A26.
2A$50.2A2.2A2.2A11.2A20.2A9.2A12.2A9.2A$93.2A9.2A12.2A9.2A$100.A22.A$
50.2A19.2A26.A.A20.A.A$50.2A19.2A26.A.A20.A.A$100.A22.A$93.2A9.2A12.2A
9.2A$50.2A2.2A2.2A11.2A20.2A9.2A12.2A9.2A$50.2A2.2A2.2A11.2A24.2A26.2A
$98.2A24.2A$98.2A8.2A4.2A8.2A$98.A9.2A4.2A9.A$50.2A2.2A2.2A3.2A2.2A2.
2A$50.2A2.2A2.2A3.2A2.2A2.2A$111.2A$110.A2.A$58.2A3.2A6.2A32.2A4.2A4.
2A$58.2A3.2A6.2A12.3A16.4A8.4A$78.A15.A12.A8.A$79.3A9.3A$50.2A2.2A2.2A
3.2A2.2A2.2A6.A.A9.A.A$50.2A2.2A2.2A3.2A2.2A2.2A6.2A4.3A4.2A14.2A4.2A
$83.A5.A18.2A4.2A$82.A.A3.A.A$50.2A19.2A10.2A3.2A$50.2A19.2A4.A3.A9.A
3.A$77.A3.A9.A3.A$77.A3.A9.A3.A$50.2A2.2A2.2A11.2A10.2A3.2A$50.2A2.2A
2.2A11.2A9.A.A3.A.A$83.A5.A$79.2A4.3A4.2A$79.A.A9.A.A$50.2A2.2A2.2A3.
2A6.2A6.3A9.3A$50.2A2.2A2.2A3.2A6.2A5.A15.A$85.3A2$58.2A3.2A6.2A$58.2A
3.2A6.2A2$92.2A11.2A$50.2A2.2A2.2A3.2A2.2A2.2A15.2A2.A.A9.A.A$50.2A2.
2A2.2A3.2A2.2A2.2A15.2A3.A11.A2$96.3A$58.2A11.2A11.3A9.A.A$58.2A11.2A
6.3A14.3A62.2A7.2A$79.A.A37.2A7.2A31.A.A5.A.A$79.3A11.A11.A13.A.A5.A.
A32.A7.A$50.2A2.2A2.2A11.2A2.2A15.A.A9.A.A13.A7.A37.A$50.2A2.2A2.2A11.
2A2.2A15.2A11.2A17.A40.3A$123.3A38.2A.2A$122.2A.2A38.3A$123.3A40.A$50.
2A2.2A2.2A3.2A2.2A2.2A51.A$50.2A2.2A2.2A3.2A2.2A2.2A3$58.2A3.2A6.2A$58.
2A3.2A6.2A2$76.2A23.2A2.2A35.2A2.2A17.3A17.2A$50.2A2.2A2.2A3.2A2.2A2.
2A3.A.A21.A.A2.A.A16.A16.A.A2.A.A35.A.A$50.2A2.2A2.2A3.2A2.2A2.2A4.A23.
A4.A17.A17.A4.A16.5A16.A$81.A15.A12.A27.A12.A11.A5.A11.A$80.A.A13.A.A
10.3A12.A12.3A10.3A8.A.A5.A.A8.3A$58.2A11.2A6.A3.A11.A3.A8.2A.2A7.2A.
3A.2A7.2A.2A8.2A.2A7.A.A5.A.A7.2A.2A$58.2A11.2A7.A.A13.A.A10.3A12.A12.
3A10.3A8.A.A5.A.A8.3A$81.A15.A12.A27.A12.A11.A5.A11.A$77.A23.A4.A17.A
17.A4.A16.5A16.A$50.2A2.2A2.2A3.2A2.2A2.2A3.A.A21.A.A2.A.A16.A16.A.A2.
A.A35.A.A$50.2A2.2A2.2A3.2A2.2A2.2A3.2A23.2A2.2A35.2A2.2A17.3A17.2A4$
50.2A6.2A3.2A2.2A2.2A2.2A$50.2A6.2A3.2A2.2A2.2A2.2A$81.A$80.3A3.2A36.
A$50.2A6.2A3.2A6.2A7.A2.A2.2A35.3A40.A$50.2A6.2A3.2A6.2A8.3A6.A14.A16.
2A.2A38.3A$82.A6.A.A3.2A7.A.A16.3A38.2A.2A$90.2A2.A.A7.A.A17.A40.3A$50.
2A2.2A2.2A3.2A6.2A21.3A8.A14.A7.A37.A$50.2A2.2A2.2A3.2A6.2A46.A.A5.A.
A32.A7.A$82.A36.2A7.2A31.A.A5.A.A$81.3A77.2A7.2A$58.2A3.2A6.2A7.A2.A2.
2A5.2A$58.2A3.2A6.2A7.3A3.2A5.2A$81.A$75.2A$58.2A3.2A2.2A2.2A2.2A$58.
2A3.2A2.2A2.2A2$104.2A21.2A$104.2A21.2A$50.2A6.2A11.2A$50.2A6.2A11.2A
$112.3A3.3A$112.A.A3.A.A$50.2A6.2A11.2A18.A20.3A3.3A$50.2A6.2A11.2A17.
3A13.2A17.2A$89.2A.2A12.2A17.2A$85.A4.2A.2A$50.2A2.2A2.2A11.2A11.3A4.
3A$50.2A2.2A2.2A11.2A10.2A.2A4.A$84.2A.2A$85.3A18.2A17.2A$58.2A11.2A13.
A19.2A17.2A$58.2A11.2A39.3A3.3A$112.A.A3.A.A$112.3A3.3A$58.2A11.2A$58.
2A11.2A$75.2A27.2A21.2A$75.A.A26.2A21.2A$76.A$50.2A6.2A3.2A2.2A2.2A$50.
2A6.2A3.2A2.2A2.2A6.3A48.2A4.2A23.2A10.2A$79.A.A18.2A9.2A6.2A9.2A4.2A
9.2A6.2A4.2A10.2A4.2A$79.3A18.2A9.2A6.2A26.2A6.2A22.2A$50.2A6.2A11.2A
$50.2A6.2A11.2A11.A$83.A.A12.2A13.2A2.2A30.2A2.2A26.2A$84.2A12.2A13.2A
2.2A30.2A2.2A26.2A$50.2A2.2A2.2A3.2A2.2A2.2A29.3A22.3A3.2A3.3A22.3A4.
3A$50.2A2.2A2.2A3.2A2.2A2.2A29.A.A22.A.A2.A2.A2.A.A22.A.A4.A.A$102.3A
22.3A3.2A3.3A22.3A4.3A$78.3A17.2A13.2A2.2A30.2A2.2A26.2A$58.2A3.2A12.
A3.A16.2A13.2A2.2A30.2A2.2A26.2A$58.2A3.2A11.A5.A$76.A5.A$76.A5.A17.2A
9.2A6.2A26.2A6.2A22.2A$58.2A3.2A2.2A2.2A4.A3.A18.2A9.2A6.2A9.2A4.2A9.
2A6.2A4.2A10.2A4.2A$58.2A3.2A2.2A2.2A5.3A49.2A4.2A23.2A10.2A3$84.2A14.
2A20.2A15.2A8.2A$50.2A6.2A3.2A2.2A2.2A11.2A14.2A20.2A15.2A8.2A$50.2A6.
2A3.2A2.2A2.2A3$50.2A6.2A3.2A6.2A2.2A32.2A2.2A16.2A2.2A16.2A$50.2A6.2A
3.2A6.2A2.2A32.2A2.2A16.2A2.2A16.2A$81.3A18.3A14.3A19.3A$81.A.A18.A.A
14.A.A19.A.A$50.2A2.2A2.2A3.2A2.2A2.2A8.3A18.3A14.3A19.3A$50.2A2.2A2.
2A3.2A2.2A2.2A3$58.2A3.2A6.2A$58.2A3.2A6.2A8.3A18.3A14.3A19.3A$81.A.A
18.A.A14.A.A19.A.A$81.3A18.3A14.3A19.3A$58.2A3.2A2.2A2.2A2.2A32.2A2.2A
16.2A2.2A16.2A$58.2A3.2A2.2A2.2A2.2A32.2A2.2A16.2A2.2A16.2A2$130.A$129.
A.A$50.2A2.2A2.2A3.2A2.2A2.2A11.2A14.2A20.2A4.A3.A6.2A8.2A$50.2A2.2A2.
2A3.2A2.2A2.2A11.2A14.2A20.2A4.5A6.2A8.2A$157.2A$105.A21.7A19.2A2.A.2A
$50.2A11.2A6.2A31.2A10.2A9.A5.A19.2A3.4A$50.2A11.2A6.2A3.4A8.A15.2A7.
2A.A.2A8.A.A.A15.A9.2A2.A$77.2A8.2A16.A6.A.A.A3.A7.A3.A14.2A10.A3.A$87.
2A4.4A14.A2.A.A.A.2A7.3A14.A.A11.A.3A$50.2A2.2A2.2A3.2A6.2A15.A5.2A16.
A.A.A3.A9.A14.A$50.2A2.2A2.2A3.2A6.2A40.2A.A.2A24.2A2.A$82.A18.A14.2A
26.4A$81.3A16.3A22.A17.A.2A$50.2A6.2A3.2A6.2A9.A18.A22.3A16.2A20.2A$50.
2A6.2A3.2A6.2A52.A29.A9.2A$76.A30.2A24.2A19.3A$76.2A28.4A21.2A.A.2A6.
2A9.A$50.2A2.2A2.2A3.2A2.2A2.2A3.2A8.2A9.A22.A9.A3.A.A.A5.2A20.2A$50.
2A2.2A2.2A3.2A2.2A2.2A3.A8.4A8.2A20.3A7.2A.A.A.A2.A24.2A.A$97.2A19.A3.
A7.A3.A.A.A24.4A$97.A20.A.A.A8.2A.A.2A24.A2.2A$117.A5.A9.2A30.A$50.2A
2.2A2.2A3.2A2.2A2.2A44.7A22.3A.A11.A.A$50.2A2.2A2.2A3.2A2.2A2.2A74.A3.
A10.2A$118.5A25.A2.2A9.A$118.A3.A26.4A3.2A$58.2A3.2A54.A.A28.2A.A2.2A
$58.2A3.2A17.2A36.A31.2A$82.2A2$58.2A3.2A2.2A2.2A$58.2A3.2A2.2A2.2A$124.
2A15.2A$124.2A15.2A$58.2A3.2A6.2A$58.2A3.2A6.2A8.A$80.A.2A$79.A3.2A7.
2A$58.2A3.2A2.2A2.2A7.A3.A7.2A$58.2A3.2A2.2A2.2A7.2A3.A$81.2A.A38.A19.
A$83.A8.2A3.2A23.A.2A15.2A.A$92.2A3.2A22.A3.2A13.2A3.A$45.2A3.2A2.2A2.
2A3.2A2.2A2.2A40.2A7.A3.A13.A3.A7.2A$45.2A3.2A2.2A2.2A3.2A2.2A2.2A40.
2A7.2A3.A11.A3.2A7.2A$123.2A.A13.A.2A$125.A15.A$45.2A11.2A3.2A6.2A$45.
2A11.2A3.2A6.2A8.2A$81.2A2$45.2A3.2A2.2A2.2A3.2A6.2A$45.2A3.2A2.2A2.2A
3.2A6.2A8.2A25.2A$81.2A8.A7.A8.2A$90.2A7.2A$45.2A11.2A3.2A6.2A16.3A7.
3A$45.2A11.2A3.2A6.2A17.2A7.2A$81.2A8.A7.A8.2A$81.2A25.2A15.A15.A$45.
2A3.2A2.2A2.2A3.2A2.2A2.2A50.2A.A13.A.2A$45.2A3.2A2.2A2.2A3.2A2.2A2.2A
40.2A7.2A3.A11.A3.2A7.2A$113.2A7.A3.A13.A3.A7.2A$121.A3.2A13.2A3.A$122.
A.2A15.2A.A$123.A19.A4$92.2A3.2A$92.2A3.2A2$124.2A15.2A$124.2A15.2A!

Improvements:
1. Color-coded the numbers. Red is known, and navy blue is LCM.
2. Put the patterns in neat rows, instead of just packing them as tightly as possible.
3. Separated oscillators and spaceships(for periods that have them) with a gray "wall".

[DroneBetter]

It has been a while but I have not stopped apgsearching (mainly in C4_4), some new things

xp3_04sg4sj3z33 (aforementioned) occurs naturally, and xp3_g42s65hqz11 is discovered in C1 (though would have been trivial by a search program)

Code: Select all

x = 8, y = 6, rule = B3ai4/S23
5b2o$2bobo2bo$bob3o$3bo3bo$o2bo2b2o$2o!

xp30_oow33xoozx233zy133 also (shuttle-like block-shifter), much less trivial

Code: Select all

x = 11, y = 12, rule = B3ai4/S23
4b2o$4b2o2$2o7b2o$2o7b2o$4b2o$3b3o4$5b2o$5b2o!

xp7_66gog33zx1736w696 occurs in C4_4 but only out of coincidence, is asymmetrical

Code: Select all

x = 12, y = 9, rule = B3ai4/S23
5b2o$2o3b2o$2o$3bo$2b3o$3b3o4bo$4b3o2bobo$4bobo2bobo$10bo!

Some C4_4 p18s exist, with four hassled ehhhe's instead of 1 like the D8_1 ones but with the block and hive stabilisation from xp18_8kk8y033w696zccxsa1b1asxoozwg8g012321w8kk8zw121w33.
And last but not least, xp35_033y1272x4e4y166z08s8ydgogzgogyeg1z01ye131z66y1272x4e4y1cc, a very sparky and strictly-volatile C4_4 skew-gutter-preserving p35

Code: Select all

x = 24, y = 24, rule = B3ai4/S23
b2o6bo$b2o5b3o4bo6b2o$9bo4b3o5b2o$15bo4$2bo$b3o18bo$2bo18b3o$22bo3$bo$3o18bo$bo18b3o$21bo4$8bo$2o5b3o4bo$2o6bo4b3o5b2o$14bo6b2o!

(delightful :-)

[confocaloid]

b2i3ai4s23 has xq50_eeeexvhhe

My favourite such neighbouring rule is b3ai4s236a, it has xq72_wvrhrvzsoz1, a (3,3)*c/72 spaceship made of the xp4_6f and xp13_vrhrv (its variant of the xp21_ehhhe, which all phases of the ehhhe evolve into and vice versa when the rule is changed).

Code: Select all

x = 7, y = 11, rule = B3ai4/S236a
2b5o$2b2ob2o$2bo3bo$2b2ob2o$2b5o3$o$2o$2o$o!

13 + 21 = p34 in the alternating rule

Code: Select all

x = 5, y = 5, rule = B3ai4/S23|B3ai4/S236a
5o$2ob2o$o3bo$2ob2o$5o!

[hotcrystal0]

Time to revive this thread.
Weird-looking P20, from D4_+2:

Code: Select all

 x = 17, y = 22, rule = B3ai4/S23
2o13b2o$2o13b2o4$3bo9bo$3b2o7b2o$3b3o5b3o$5bo5bo5$5bo5bo$3b3o5b3o$3b2o7b2o$3b
o9bo4$2o13b2o$2o13b2o!

Edit: wait it’s known

[hotcrystal0]

Is this P15 new?

Code: Select all

x = 21, y = 21, rule = B3ai4/S23
7b2o$6bo2bo$7b2o$15b2o$3b2o10b2o$3b2o$13bo5bo$6b3o3b2o4bobo$7b2o2b3o4bobo$8bo
10bo2$bo10bo$obo4b3o2b2o$obo4b2o3b3o$bo5bo$16b2o$4b2o10b2o$4b2o$12b2o$11bo2bo
$12b2o!

Edit: Nevermind. It's known.

[Haycat2009]

Me and Harfordson-Parker Cole suggest naming it Elevated Life, as most transitions are "elevated" by one neighbour. What are your thoughts?

[confocaloid]

[...] most transitions are "elevated" by one neighbour. [...]

I think I don't understand the assertion. What do you mean by "elevated by one neighbour"?
For reference, Life is B3/S23 while this is B3ai4/S23. If you write down explicitly every isotropic subcondition without minuses, then Life is B3cekainyqjr/S2cekain3cekainyqjr while this rule is B3ai4cekainyqjrtwz/S2cekain3cekainyqjr.
If anything, with a similar reasoning I would expect "Elevated Life" to refer to B4/S34 (every neighbour-counting condition is incremented).

[azulavoir]

[...] most transitions are "elevated" by one neighbour. [...]

If you write down explicitly every isotropic subcondition without minuses, then Life is B3cekainyqjr/S2cekain3cekainyqjr while this rule is B3ai4cekainyqjrtwz/S2cekain3cekainyqjr.
If anything, with a similar reasoning I would expect "Elevated Life" to refer to B4/S34 (every neighbour-counting condition is incremented).

It's unfortunate that increasing the 2 and 3 to 3 and 4 in that full Hensel Life makes such a boring rule.

Code: Select all

x = 27, y = 12, rule = B4-twz/S3-jqry4-twz
2o2b3obobo3b4obo2b2o2bo$b2obob3obobo2bo4b2o$2bo10b3obobob2obobo$2b2o5b
obo3b2obo3b3obo$o3bobo2b3o7b2o5bo$2b4o2bobo3b3o7bobo$3b3obo3bo2b5o4bo
$4ob4ob2o2b2o2b3obobo$b3obobo2b2o2bobob2o3bo2bo$3b3o5b3o2bobo5b2o$2bo
5bo2b8o3bo2b2o$obob2o2bo4bobo4bo2b4o!