Borogoves (B3aij/S2-i3-ac4-ajnwy5-y)

[Yoel]

A world of natural four-barrel statorless p56 guns shooting funny looking 7c/14 spaceships ("borogoves", as in Jabberwocky) and unbreakable still lifes that can be easily used as reflectors and splitters.

Code: Select all

x = 18, y = 10, rule = B3aij/S2-i3-ac4-ajnwy5-y
3$4bo$3bob2o$6bo$5bo$5bobo$6b2o!

Besides various flotillas, there is also a less common natural 2c/4 ship:

Code: Select all

x = 106, y = 218, rule = B3aij/S2-i3-ac4-ajnwy5-y
42$46bo$45b2o$46bo$43b3o$43b2o10$40b2o$41b2o$45bo$45b2o$46b2o$45b2o2$
45b2o$46b2o$45b2o$45bo$41b2o$40b2o14$44b2o$45b2o$49bo$49b2o$50b2o$49b
2o$45b2o$47b2o$44bo2bo$43b4o$43bo3bo$47bo$44bob2o$41b2ob2o$42b3o13$40b
obo$40bobo$45b2o$45bob2o$48bo$46bobo$46b2o2$47bo$46b2o$46b2o$50b3o$52b
o$49bob2o2$46b5o$46b2o20$52b3o$51b2ob2o$54bob2o$57bo$55bobo$51bo3b2o$
42b2o7b2obo$40b2obo$40bo2bo7b2o$40bo2bob3o3bobo$41b3o9b2o$50bob2o$47b
2o3bo$47b5o$49bo14$46b3o$46bob2o$49b2o$48b2o2$49b3o$51bo$47bo2b2o$47b
3o2$47b3o$49bo$45bo3bo$45b4o$46bo!

Guns (and hence all oscillators) for periods >=18 can be built from splitter loops:

Code: Select all

x = 145, y = 100, rule = B3aij/S2-i3-ac4-ajnwy5-y
16$59bo$59b3o$61bo$58b2o$58b2o$57b3o$57bo5bo$57b2o5bo$58bo4bo2$46bo7b
2o$26bo19b3o6bo3b3o$25bobo5bo14bo2b3ob2o2bo2bo$19bo11b4o5b2o8b2obo4bo
3bo$19b3o8bo3bo4bobo6b2obo5b3o2b2o$21bo8bo8bo8bo8bo3b2o$23b2o5b2obo5b
3o6bobo6b2o$23b2ob2o4b2obo8b2o3b2o3bo$24b3o6b3obo6b2o5b2obob2o$31bo5b
3o4bo8bo2bo$29b3o7bo15b2o2b3o$29bo6b2o21bo2bo$31b2o5bo20bob2o$31bo5bo$
31b3o3bo$32bo2b2o19b3o$33bo2bo20b2o$30b2ob3o28b2o$30bo33bo$29b2o28b3ob
2o$36b2o20bo2bo$36b3o19b2o2bo$57bo3b3o$57bo5bo$32b2obo20bo5b2o$32bo2bo
21b2o6bo$33b3o2b2o15bo7b3o$38bo2bo8bo4b3o5bo12b2o6b3o17bo8bo5bobo4b2o$
37b2obob2o5b2o6bob3o6b3o5b5o3b3o10bo5bob2o5b2o5bobo4bobo$40bo3b2o3b2o
8bob2o4b2ob2o17b2o5b4o7b2o3b2o14bo$36b2o6bobo6b3o5bob2o5bob2o5bob2o6bo
bo4bo3bo6bobo6b3o6bobo3bo$32b2o3bo8bo8bo8bo8bo8bo8bo8bo8bo8bo6b2o2b3o$
31b2o2b3o5bob2o6bobo4bo3bo6bobo6b3o5bob2o5bob2o5bob2o6bobo10bo$32bo3bo
4bob2o8b2o5b4o7b2o3b2o10b2o4b2ob2o17b2o$32bo2bo2b2ob3o2bo14bo5bob2o5b
2o5bobo9b3o5b5o3b3o$33b3o3bo6b3o19bo8bo5bobo17b2o6b3o$39b2o7bo2$31bo4b
o$30bo5b2o$31bo5bo$31bo3b3o$32b2o2bo$32bo2bo$33b3o4$33bo$33b3o$35bo!

Oscillators are also known for p2,3,4,5,10:

Code: Select all

x = 87, y = 129, rule = B3aij/S2-i3-ac4-ajnwy5-y
22$21b2o17b2o9b2o$21b2o6bo4bo5bo2b2o6bo$21b2o6b6o6b4o7b5o$21b2o8bo8b2o
2bo6b2o2b2o$31b2o7bobobo6bobobo$41b2ob2o6bo2b2o8$27b2ob2o5b2ob2o7b3o$
28bobo6bob2o8b3obo$27b2obo8bobo10b2o$28bobo6b3ob3o6bo$27bo2bo6bobo10b
2o$27b2ob2o9$27b2o3bo$27bo2b2o6b2o5b2o$28b2o2bo5bo2b3obo$27b3o2bo7bob
3o2bo$27bo2b2o7b2o5b2o$28bo3bo$27b2o4$49b2o$36b2obob2o6bo$28bo7bo2b4o
7bo$28b3o6b2o2bo6bobo$30b2o4b3o2bo6b2obo$30b2o4bo2b4o8bobo$28b3o6b3ob
2o9b2o$28bo7b2o24$29b2o$25b2o2bobo$25bobo2b2o$28bo$28b2o!

Phase shifters:

Code: Select all

x = 181, y = 91, rule = B3aij/S2-i3-ac4-ajnwy5-y
12$30bo$28b3o$28bo5$30b3o67bo$29bo3bo24b2o26b2o12b3o10b3o$29bo28b5o23b
5o11bo10b3o$17b2o9b2o2bo2bo82b2o$18bo10b2o2bo2bo24bob2o24bob2o25bobo
10bo$18b2o16bo27bo27bo27bo10b3o$34b3o25b3o25b3o25b3o12bo$31bo26b2o26b
2o26b2o$31bobo24b2o26b2o26b2o$32b2o25bo27bo27bo6$28bo$26b3o$26bo9$37bo
$35b3o$35bo6$30b2o19b2o26b2o26b2o$30bobo18b5o23b5o23b5o$24b2o6bo$25bo
2b2o24bob2o24bob2o24bob2o23b2o$25b2obo28bo27bo27bo24bo$28bobo2b2o20b3o
25b3o23bob3o24b2o$28bo2bo2b2o15b2o26b2o26bob2o$34bo16b2o26b2o25b2o4bo$
30bo3bo17bo27bo25b2o2b3o$31b3o76bo5$35bo$33b3o$33bo!

Reflectors:

Code: Select all

x = 425, y = 221, rule = B3aij/S2-i3-ac4-ajnwy5-y
39$263bo$263b3o$265bo4$266bo$265b3o$264bo2b2o$264b2o2bo$267b2o3$261b4o
4$204bo$202b3o$202bo5$227bo27bo$227bo27bo$227bo27bo$191b2o34bo3b2o22bo
3b2o$192bo11b2o25bobo25bobo$192b2o11b2o26b2o26b2o$206bo23bob2o24bob2o$
205bo24b3o25b3o$205bobo59bo$206b2o59b3o$269bo2$202b2o$202b2o2$202bo$
200b3o$200bo2$294bo$294b3o$296bo9$85b2o$86bo$86b2o$80b2o$78b2obo$61b2o
14bobobo$62bo13b2o$62b2o13b2obo148bo$78bo3b2o143b3o$79b5o143bo$81bo
212bo$293b3o$292b2o2bo$291bo3b2o$291bobo3bo$222b2o19bo27bo18b2o3b3o$
222bobo17bob2o24bob2o17b2o$216b2o6bo21b2o26b2o15b2o$217bo2b4o22bobo25b
obo22b2o$217b2obo27bo27bo22bo$220b3o2b2o18bob2o24bob2o21b2o$223bo2bo$
223bobo16b5o23b5o$223b3o16b2o26b2o$84b3o$84bobo$84bobob2o$81b3o2bo2bo
4bo27bo27bo$71b2o8bo5b2o4bob2o24bob2o24bob2o$72bo8b2obo12b2o26b2o26b2o
72bo$72b2o9b2o12bobo25bobo25bobo20b2o47b3o100bo$99bo27bo27bo21bo47bo
102b3o$96bob2o24bob2o24bob2o21b2o151bo2$93b5o23b5o23b5o20b2o$93b2o26b
2o26b2o17bo5b2o$168b2o5b2o$169bo3bobo$169b3o3bo$170bo2b2o$171b3o$172bo
3$327b3o$326bo2bo$326b2o2bo$85b2o238bo3b3o$86bo176bo61bo5bo$86b2o173b
3o60bo5b2o$261bo63bo4bo6$284b2o26b2o$285b3o25b3o$250b2o35b2o26b2o$251b
o35bobo25bobo$251b2o36b2o26b2o$262b3o23b2o26b2o14b2o$174b2o86bob2o18bo
27bo19bo$168bo5b2o82b2o5b2o17b2o26b2o17b2o$168b2o5b2o80bo2bo2b3o20bo
27bo$169bo3bobo81b2o3bobo$169b3o3bo84bob2o$170bo2b2o85b3o$171b3o87bo$
172bo$261bo$259b3o$259bo8$172b2o$173bo$173b2o!

A 180-degree reflector as a period doubler:

Code: Select all

x = 84, y = 44, rule = B3aij/S2-i3-ac4-ajnwy5-y
11$32bo$30b3o$30bo6$25b2o$25bobo18bo$19b2o6bo17b4o$20bo4b2o18bo3bo$20b
2o3bo2bo20bo$25bo2bo17bob2o$26b3o14b2ob2o$44b3o24bo$71b3o$73bo$58bo$
56b3o$56bo2$30bo$28b3o$28bo!

A trigger-based period doubler:

Code: Select all

x = 173, y = 69, rule = B3aij/S2-i3-ac4-ajnwy5-y
24$51b2o$51bobo5b3o$52b2o5b3o29bo$44b2o44b4o$42bo2bo44bo3bo$42b2o50bo
41bo$61b2o28bob2o41b3o$61b2o25b2ob2o45bo$89b3o4$46b2o$47b3o$25bo23bo$
25b3o22b2o$27bo22bo$36b2o10bobob2o$35bobo7b2o5bobo$34b2o4b2o3b5o5bo$
35b2o2bo2bo4bo4bobo$37bobob2o9b2o$37b3o$38bo6$38b2o$38bo$37b2o!

AND-NOT:

Code: Select all

x = 136, y = 131, rule = B3aij/S2-i3-ac4-ajnwy5-y
7$77b2o$78bo$78b2o40$22bo$20b3o$20bo6$15b2o19bo27bo27bo$15bobo17bob2o
24bob2o24bob2o$9b2o6bo21b2o26b2o26b2o$10bo2b4o22bobo25bobo25bobo14bo$
10b2obo27bo27bo27bo12b3o$13b3o2b2o18bob2o24bob2o24bob2o12bo$16bo2bo$
16bobo16b5o23b5o23b5o$16b3o16b2o26b2o26b2o6$20bo$18b3o$18bo5$77b3o$76b
o2bo$76b2o3bo$75bo3bobo$75bo5bo$74bo6b2o$75bo5b2o13$66b2o$67bo$67b2o
19b2o$79b2o8bo$79bob2o6b2o$75b2o5bo$74bo2bo2b3o$74b2obobo$77bobo$77b3o
2$78bo$76b3o$76bo!

Puffers:

Code: Select all

x = 85, y = 357, rule = B3aij/S2-i3-ac4-ajnwy5-y
19$38b2o$39b3o$41b2o$41bobo$43b2o$42b2o2$35b2o3b3o$35bo2bobo2b2o$37b2o
5bo$42b3o2$43b2o$44b2o$41bob2o$41b3o17$37b2o$38b3o$40b2o$40bobo$42b2o$
41b2o$37bo$34b2obobo$33bo2bobo$33bo2bobo$34b2obobo$37bo$41b2o$42b2o$
40bobo$40b2o$38b3o$37b2o20$34b2o$34b5o2$37bob2o$40bo$38b3o$34b2o$34b2o
$35bo3$37bo$36b3o8bo$35b2o2bo5b5o$35bo2b2o5b2o3bo$35b2o3bo7bob2o$38b3o
10b2o$49bobo$44b2o2b3o$32b2o9b2o4bo$32bobo7b2o$34bo8b2ob3o$33bo12b2o$
32b2obo10b2ob2o$33b3o14bo$34bo13b3o$44b2o$33b2o9b2o$33b5o7bo2$36bob2o$
39bo$37b3o$33b2o$33b2o$34bo18$37bo$36b2o$36b2o$40b3o$42bo$40bobo$40b2o
$35b3o$35b3o2$34b2obo8b2o$34bo4bo7b3o$33bo3bobo9b2o$33b3o3b2o8bobo$38b
2o11b2o$38b2o3bo6b2o$42b3ob2o$31b2o8bo2bob4o$31bobo6b2o4bo$33bo7b2o2b
3o$32bo9bo3bo$32b2o14b3o$50bo$48bobo$48b2o$43b3o$37b3o3b3o$39bo$37bobo
$37b2o$32b3o$32b3o22$43bo$42b4o$42bo3bo$46bo$43bob2o$40b2ob2o$41b3o4$
43bo$42bobo8bo$41bo3bo6bob2o$41b2ob3o9b2o$46bo9bobo$45b2o11bo$45bo8b2o
b2o$49b3o2b2o$38b2o8bo2bo2b3o$38bobo7bo4bo$40bo7b3o2b2o$38b2o12bo$38bo
2bo13b2o$36bo4bo14b2o$32b2o3bob3o13b2o$33b2obo18bo$36bo14b2o$34b2o3b2o
9b2o$32bo2bo3b5o$32b3o$42bob2o$45bo$29b2o12bobo$30b3o10b2o$32b2o5bob2o
$32bobo5bo$34b2o$33b2o$29bo$29b2o$31bo17$31b3o$31b3o$36b2o$36bobo$38bo
$35bob2o$35b2o5$29b3o4bo$29b3o7b3o8bo$30bo5bo2bobo7b4o$39bo2bo6bo3bo$
41b2o10bo$50bob2o$47b2ob2o$35b2o11b3o$35bobo$25b2o10bo7b5o$24bobo9bo8b
2o3bo$23bo4b2o6b2obo8bob2o$24bobob2o8bo12b2o$25b2o22bobo$49b2o$35b3o9b
3o$34b2ob2o7b2o$37bob2o$40bo$36bo3bo$36b4o$37bo16$33bo$33bo$33bo$33bo
3b2o$37bobo$39b2o$36bob2o$36b3o5$41bo$40b3o7b2o$39bo2b2o6bob2o$39b2o2b
o6bobobo$42b2o10b2o$51bob2o$48b2o3bo$29b2o5b2o10b5o$29bobo4bobo8bo$31b
o6bo8b2obo$30bo6bo13b2o$30bobo4b2o12bobo$31b2o5b2o13bo$35bo14bob2o$33b
5o$33b2o3bo8b5o$36bob2o7b2o$39b2o$35bobobo$35bob2o$35b2o!

Rakes:

Code: Select all

x = 70, y = 126, rule = B3aij/S2-i3-ac4-ajnwy5-y
7$25b3o$25bo2bo$25bob2o3$22b3o4b2o6bobo$23b2o4b2o6bobo$29b2ob3o7b2o$
32bo2bo6bob2o$32bob2o9bo$41bo3bo$41b4o$21b2o5b2o12bo$21bo5bo2bo$18b2o
10bo8b2o$17bobo9b2ob2o5bob2o$17bo12b3o6bobobo$17bo3bo21b2o$18b4o18bob
2o$20bo16b2o3bo$37b5o$26bo12bo$25b4o$25bo3bo$29bo$26bob2o$26b2o$21bobo
$21bobo16$23bo$23bo$23bo$23bo3b2o$27bobo$29b2o$26bob2o$26b3o2$22b2o$
22b2o$22bo4bo$26b3o7b2o$26bob2o6bob2o$29bo6bobobo$28b2o10b2o$37bob2o$
34b2o3bo$22b2o10b5o$22bobo8bo$24bo8b2obo$23bo13b2o$23b2o12bobo$24b2o
13bo$36bob2o2$25bo7b5o$23b5o5b2o$23b2o3bo$26bob2o$29b2o$25bobobo$25bob
2o$25b2o!

Growing rake:

Code: Select all

x = 30, y = 43, rule = B3aij/S2-i3-ac4-ajnwy5-y
4$10b3o$9b2ob2o$12bob2o$15bo$13bobo$13b2o$9bob2o$10bo3$12bo$11b3o7b3o$
10b2o2bo6bob2o$13b2o9b2o$20bobobo$20bob2o$7b2o11b2o$7bobo$9bo8b3o$8bo
2b2o4b2ob2o$8b5o7bob2o$10bo12bo$21bobo$21b2o$17bob2o$8b3o7bo$7b2ob2o$
10bob2o$13bo$11bobo$11b2o$7bob2o$8bo!

[confocaloid]

A period-443 c/2o (xq2_27r8) gun and a c/2 to 7c/14 converter:

Code: Select all

x = 105, y = 135, rule = B3aij/S2-i3-ac4-ajnwy5-y
40bo17bo$38b3o15b3o$38bo17bo2$71b2o$72bo$72b2o2$48bo$48b3o$50bo$43b2o$
44bo$44b2o$64b2o$64bo$63b2o$34b2o$34bo$33b2o2$73bo$63bo7b3o$63b3o5bo$
65bo7bo$63bo7b3o10b2ob2o$63b3o5bo12bo2bo$31b2o32bo17b2ob2o16bo$32bo69b
3o$32b2o68bo4$47bo34b2ob2o$47b3o33bo2bo$49bo33b2ob2o$37b2obo$38b3o$39b
o2$95bo$93b3o5bo$93bo7b3o$95bo7bo$93b3o5bo$93bo7b3o$95bo7bo$93b3o5bo$
93bo7b3o$103bo14$87bo11b2o$85b3o12bo$85bo14b2o19$35b2o$34bobo$35bo27$
48b2o$bo46bo$obo44b2o$2o6$48b2o$48bo$47b2o8$41bo$40bobo$40b2o!

c/6d and c/5o spaceships:

Code: Select all

x = 23, y = 30, rule = B3aij/S2-i3-ac4-ajnwy5-y
4$10b3o$8b2obo$7bobo$6b2obo$5bo$4bo$5bo$4b2o$4b2o7$7b2o$5b2o2b2o$5bob
2obo$5bo4bo$4b3o2b3o!

[Sarah]

p443 gun

Code: Select all

x = 80, y = 87, rule = B3aij/S2-i3-ac4-ajnwy5-y
9bo17bo$7b3o15b3o$7bo17bo2$40b2o$41bo$41b2o2$17bo$17b3o$19bo$12b2o$13b
o$13b2o$33b2o$33bo$32b2o$3b2o$3bo$2b2o2$42bo$32bo7b3o$32b3o5bo$34bo7b
o$32bo7b3o10b2ob2o$25bo6b3o5bo12bo2bo$2o21b5o6bo17b2ob2o$bo21b2o3bo$b
2o23bob2o47bo$29b2o46b3o$27bobo49bo$27b2o$16bo8b3o23b2ob2o$16b3o5b2o26b
o2bo$18bo33b2ob2o49$4b2o$3bobo$4bo!

Edit: built from the p443 c/2 gun

[Yoel]

All periods were found except 13 and non-trivial 15:

Code: Select all

x = 384, y = 665, rule = B3aij/S2-i3-ac4-ajnwy5-y
52$163b2o17b2o9b2o$163b2o6bo4bo5bo2b2o6bo$163b2o6b6o6b4o7b5o$163b2o8bo
8b2o2bo6b2o2b2o$173b2o7bobobo6bobobo$183b2ob2o6bo2b2o7$192bo$155b2o2bo
2b2o5b2ob2o5b2ob2o8bo$155bo2b3o2bo6bobo6bob2o9b2obo$157bo3bo7b2o2bo7bo
bo10b2o$157b2ob2o8bo2bo5b3ob2o7bo$169bo2bo6bobo2bo7b2o$169b2ob2o4$138b
o$116b2ob2o16bobo$115bo2b2obo16bo16b2ob2o42bo$115b2obob2o34bobo42bobo$
118b3o16b3o16bobo40bo2bo$117bo3bo14bo3bo14b2ob2o9b2ob2o25b2o$116bo2bob
o13bo5bo9bo2bobobobo2bo5bo2b3o5b2ob2o2b2o11b2o$115bo3b2o10bo2bo3bo3bo
2bo5b5o3b5o6b2o2bo5bo2b2o2bo9bo$109b2o2b2o15bobobo2bobo2bobobo22b3o2bo
7bo2b2o2bo6bobo$108bobo2b2o16bo2bo3bo3bo2bo5b5o3b5o5bo2b3o6b2o2b2ob2o
7bo$108bo3bo22bo5bo9bo2bobobobo2bo6bob2o$109b3o24bo3bo14b2ob2o9b2o$
108b2obob2o22b3o16bobo$108bob2o2bo41bobo$109b2ob2o24bo16b2ob2o$137bobo
51b2o15b2o$138bo39b2obo9bo15bobo$170bobo5bo2b3o8b2o10b2obo$170b4o5b2o
2b2o5bob2o9bo2b2o$172bo5b3o2b2o5b2obo9bo2b2o$172bo5bo2b3o9bobo8b2o$
170b4o5b3o12b2o6b4o$170bobo5b2o21bo$201b2o8$155b2o3b2o$151b2o2bo5bo2b
2o$150bobob2o5b2obobo$150b3o11b3o17bo18b2o$153bo9bo20bo19bo$151bo2b2o
5b2o2bo14bo2b3o2bo12b3o2b2o$149b3o2b2o5b2o2b3o12b9o12bo2b2o2bo$149bo6b
o3bo6bo8b2o13b2o11b2o2bo$157bobo14bo2bob2o7b2obo2bo7bo3b2o$158bo15b2o
3bo9bo3b2o7b2o2b2ob2o$157bobo19b2o7b2o14bo3bobo$149bo6bo3bo6bo36b2o2bo
$149b3o2b2o5b2o2b3o39b2o$151bo2b2o5b2o2bo$153bo9bo$150b3o11b3o$150bobo
b2o5b2obobo$151b2o2bo5bo2b2o$155b2o3b2o16$174b2o11b2o$175bo11bo$174bo
13bo$175bo11bo$174bo13bo$175bo11bo$174bo4b2ob2o4bo$175bo3bo3bo3bo$174b
o6bo6bo$165bobobobobo6bobo6bobobobobo$165b2obobobo3b4o3b4o3bobobob2o$
175bo11bo$175bo2bo5bo2bo$175bobobo3bobobo$171b2o2bo2bo5bo2bo2b2o$171bo
2bo13bo2bo$173bo15bo$171bo2bo13bo2bo$171b2o2bo2bo5bo2bo2b2o$175bobobo
3bobobo$175bo2bo5bo2bo$175bo11bo$165b2obobobo3b4o3b4o3bobobob2o$165bob
obobobo6bobo6bobobobobo$174bo6bo6bo$175bo3bo3bo3bo$174bo4b2ob2o4bo$
175bo11bo$174bo13bo$175bo11bo$174bo13bo$175bo11bo$174b2o11b2o22$201b5o
$162b2ob2o32bob5obo$161bo2b2obo28b2ob2o5b2ob2o$161b2obob2o27bobobo7bob
obo$164b3o28b3o5bo5b3o$163bo3bo12b2o2b2o17bo$162bo2bobo13bobobo8b3o13b
3o$161bo3b2o13b2obo11bo15bo$160bo20bo2b3o6b2o17b2o$159bo20b2o4bo6b2o
17b2o$157b2o21b3o2bo7b2o2b2o9b2o2b2o$157b2o21b2o4bo6b2o17b2o$155b2o24b
o2b3o6b2o17b2o$155b2o23b2obo11bo15bo$149b2o2b2o26bobobo8b3o13b3o$148bo
bo2b2o25b2o2b2o17bo$148bo3bo42b3o5bo5b3o$149b3o43bobobo7bobobo$148b2ob
ob2o41b2ob2o5b2ob2o$148bob2o2bo44bob5obo$149b2ob2o47b5o12$183b2o$181b
3obo$181bo4bo$178b2o3bobo$178bo2b2obo$179b3o$178bo2b2o$178b2o12$183b2o
$179b2o2bobo$179bobo2b2o$181bo$181b3o18$174b2ob2obobobob2ob2o$173bo2bo
bob5obobo2bo$173bobob2o3bo3b2obobo$174bo2b2o7b2o2bo$173bob2o2bo5bo2b2o
bo$173b4o2bo5bo2b4o$177b2o7b2o$173b2o15b2o$174bo15bo$173b3o13b3o$174bo
15bo$173b2o15b2o$177b2o7b2o$173b4o2bo5bo2b4o$173bob2o2bo5bo2b2obo$174b
o2b2o7b2o2bo$173bobob2o3bo3b2obobo$173bo2bobob5obobo2bo$174b2ob2obobob
ob2ob2o18$186bob2o$184b2o3bo$183bo2b3o$183bo2b2o$182bob2o2bo$184b2o2bo
$182bobob2o$182b2o37$176b2ob2o11b2ob2o$175bob2o2bo9bo2b2obo$175b2obob
2o9b2obob2o$176b3o15b3o$175bo3bo13bo3bo$175bobo2bo11bo2bobo$176b2o3bo
9bo3b2o$182b2o5b2o$182b2o5b2o$184bo3bo$185bobo$186bo$185bobo$184bo3bo$
182b2o5b2o$182b2o5b2o$176b2o3bo9bo3b2o$175bobo2bo11bo2bobo$175bo3bo13b
o3bo$176b3o15b3o$175b2obob2o9b2obob2o$175bob2o2bo9bo2b2obo$176b2ob2o
11b2ob2o17$181b2o5b2o$177b2ob2ob2ob2ob2ob2o$176bobobo2b2ob2o2bobobo$
176b2o2b3o2bo2b3o2b2o$180bobobobobobo$176b4o4bobo4b4o$175b2obo6bo6bob
2o$175bo2b2o11b2o2bo$176b2o6b3o6b2o$176b2ob2o2bobobo2b2ob2o$178bo2bob
2ob2obo2bo$176b2ob2o2bobobo2b2ob2o$176b2o6b3o6b2o$175bo2b2o11b2o2bo$
175b2obo6bo6bob2o$176b4o4bobo4b4o$180bobobobobobo$176b2o2b3o2bo2b3o2b
2o$176bobobo2b2ob2o2bobobo$177b2ob2ob2ob2ob2ob2o$181b2o5b2o26$190bo$
183bo5b2o$182bobo3b2o$183bo5b2o2$187bo$186bobo$183bo3bo$182b3o$181b2ob
o35$161b2ob2o$160bo2b2obo31b2ob2o$160b2obob2o30bo2b2obo$163b3o31b2obob
2o$162bo3bo33b3o$161bo2bobo32bo3bo$160bo3b2o31b2o2bobo$159bo37b2o2b2o$
158bo37bo$157bo37bo$156bo36b2o$155bo37b2o$153b2o37bo$153b2o36bo$152bo
36b2o$146b2o3bo37b2o$145bobob2o37bo$145bo3b2o36bo$146b3o37bo$145b2obob
2o28b2o3bo$145bob2o2bo27bobo2bo$146b2ob2o28bo3bo$180b3o$179b2obob2o$
179bob2o2bo$180b2ob2o17$170b2ob3o9b3ob2o$169bobobo2bo7bo2bobobo$168bo
4bob2o7b2obo4bo$169bobo17bobo$170b2o3bobo5bobo3b2o$165bo7bob2obo3bob2o
bo7bo$164bobo7bobobo3bobobo7bobo$163bo3bo6bo2bo5bo2bo6bo3bo$163b2ob2o
7b2obo3bob2o7b2ob2o$174bo4bobo4bo$163b3o2bo5bo5bo5bo5bo2b3o$163bo5b2ob
2o13b2ob2o5bo$163bobob2o2bo17bo2b2obobo$164b2o2b2obo17bob2o2b2o$167bo
2bo19bo2bo$168b2obo17bob2o$172bo15bo$173bo13bo$172bo15bo$168b2obo17bob
2o$167bo2bo19bo2bo$164b2o2b2obo17bob2o2b2o$163bobob2o2bo17bo2b2obobo$
163bo5b2ob2o13b2ob2o5bo$163b3o2bo5bo5bo5bo5bo2b3o$174bo4bobo4bo$163b2o
b2o7b2obo3bob2o7b2ob2o$163bo3bo6bo2bo5bo2bo6bo3bo$164bobo7bobobo3bobob
o7bobo$165bo7bob2obo3bob2obo7bo$170b2o3bobo5bobo3b2o$169bobo17bobo$
168bo4bob2o7b2obo4bo$169bobobo2bo7bo2bobobo$170b2ob3o9b3ob2o!

A replicator given an infinite wick:

Code: Select all

x = 200, y = 200, rule = B3aij/S2-i3-ac4-ajnwy5-y:T200,200
198b2o$198b2o$197bo$196bo$194b2o$194b2o$193bo$192bo$190b2o$190b2o$189b
o$188bo$186b2o$186b2o$185bo$184bo$182b2o$182b2o$181bo$180bo$178b2o$
178b2o$177bo$176bo$174b2o$174b2o$173bo$172bo$171bo$170bo$169bo$168bo$
167bo$166bo$165bo$164bo$163bo$162bo$161bo$160bo$159bo$158bo$157bo$156b
o$154b2o$154b2o$153bo$152bo$150b2o$150b2o$149bo$148bo$146b2o$146b2o$
145bo$144bo$142b2o$142b2o$141bo$140bo$138b2o$138b2o$137bo$136bo$134b2o
$134b2o$133bo$132bo$130b2o$130b2o$129bo$128bo$126b2o$126b2o$125bo$124b
o$123bo$122bo$121bo$120bo$119bo$118bo$117bo$116bo$114b2o$114b2o$113bo$
112bo$110b2o$110b2o$109bo$108bo$106b2o$106b2o$105bo$104bo$102b2o$102b
2o$101bo$100bo$99bo$98bo$97bo$96bo$95bo$94bo$93bo$92bo$90b2o$90b2o$89b
o$88bo$86b2o$86b2o$85bo$84bo$82b2o$82b2o$81bo$80bo$78b2o$78b2o$77bo$
76bo$75bo$74bo$73bo$72bo$71bo$70bo$69bo$68bo$66b2o$66b2o$65bo$64bo$62b
2o$62b2o$61bo$60bo$58b2o$58b2o$57bo$56bo$54b2o$54b2o$53bo$52bo$50b2o$
50b2o$49bo$48bo$46b2o$46b2o$45bo$44bo$42b2o$42b2o$41bo$40bo$38b2o$38b
2o$37bo$36bo$35bo$34bo$33bo$32bo$31bo$30bo$29bo$28bo$27bo$26bo$25bo$
24bo$23bo$22bo$21bo$20bo$18b2o$18b2o$17bo$16bo$14b2o$14b2o$13bo$12bo$
10b2o$10b2o$9bo$8bo$6b2o$6b2o$5bo$4bo$2b2o$2b2o$bo$o!

[confocaloid]

Is this considered trivial or not?

Code: Select all

x = 28, y = 31, rule = B3aij/S2-i3-ac4-ajnwy5-y
10bo$10b3o$12bob2ob2ob2ob2o$2bo7bo3bo2bo2bo2bo$2b3o5b2ob2ob2ob2ob2o$4bo$2bo8b
2o5b3o$2b3o7b2o6bo$4bo2bo3b2o5b3o$2bo3b3o$2b3obobob2ob2ob2o5b2ob2o$4bo5bo3bo
2bo5bo2bo$2bo9bob2o3bobo3b2o$2b3o5b3o4bobobobo$4bo5bo4b3ob3ob3o$2bo9bo2bo9bo$
2b3ob3ob3o4bo5bo$4bobobobo4b3o5b3o$b2o3bobo3b2obo9bo$bo2bo5bo2bo3bo5bo$2ob2o
5b2ob2ob2obobob3o$19b3o3bo$7b3o5b2o3bo2bo$7bo6b2o7b3o$7b3o5b2o8bo$23bo$4b2ob
2ob2ob2ob2o5b3o$4bo2bo2bo2bo3bo7bo$3b2ob2ob2ob2obo$15b3o$17bo!

[yujh]

Is this considered trivial or not?

Code: Select all

snip

It’s not trivial. Trivial oscillators like test tube baby on p17 HD hasslers has no actual cell oscillating at that period.

[Sarah]

Isn't this a simpler version of that osc?

Code: Select all

x = 24, y = 27, rule = B3aij/S2-i3-ac4-ajnwy5-y
9b2ob2ob2ob2ob2o$o8bo2bo2bo2bo2bo$3o2bo2b2ob2ob2ob2ob2o$2bob3o$o3bob2o
5b2o5b3o$3o4bo6b2o4b3o$2bo3b2o5b2o$o16bobo$3o5b2ob2ob2ob3obo$2bo5bo3b
o2bo2bo2b3o$o3b3o3bob2o9bo$3obobob3o4bo5bo$2bobobobo4b3o5b3o$o9bo2bo9b
o$3o5b3o4bobobobo$2bo5bo4b3obobob3o$o9b2obo3b3o3bo$3o2bo2bo2bo3bo5bo$
2bob3ob2ob2ob2o5b3o$4bobo16bo$9b2o5b2o3bo$b3o4b2o6bo4b3o$b3o5b2o5b2ob
o3bo$17b3obo$2b2ob2ob2ob2ob2o2bo2b3o$2bo2bo2bo2bo2bo8bo$b2ob2ob2ob2ob
2o!

[breaker's glider gun]

AND-NOT:

Code: Select all

x = 136, y = 131, rule = B3aij/S2-i3-ac4-ajnwy5-y
7$77b2o$78bo$78b2o40$22bo$20b3o$20bo6$15b2o19bo27bo27bo$15bobo17bob2o
24bob2o24bob2o$9b2o6bo21b2o26b2o26b2o$10bo2b4o22bobo25bobo25bobo14bo$
10b2obo27bo27bo27bo12b3o$13b3o2b2o18bob2o24bob2o24bob2o12bo$16bo2bo$
16bobo16b5o23b5o23b5o$16b3o16b2o26b2o26b2o6$20bo$18b3o$18bo5$77b3o$76b
o2bo$76b2o3bo$75bo3bobo$75bo5bo$74bo6b2o$75bo5b2o13$66b2o$67bo$67b2o
19b2o$79b2o8bo$79bob2o6b2o$75b2o5bo$74bo2bo2b3o$74b2obobo$77bobo$77b3o
2$78bo$76b3o$76bo!

... I think that's just XOR...?
or maybe just a NOT for the right-pointing gun?

[Alexander Yu]

Has this been discovered yet

Code: Select all

x = 72, y = 75, rule = B3aij/S2-i3-ac4-ajnwy5-y
9$4b2o4b2o$4b2o4b3o$5bo$5bobo$5bo3bo$7bobo$7b3o22$4b2o4b2o$4b2o4b3o$5b
o$5bobo$5bo3bo$7bobo$7b3o14$11bo$9b4o$8bo3bo$8bo$8b2obo23b2o26b2o$10b
2o20b5o23b5o2$30b2obo24b2obo$30bo27bo$30b3o25b3o$35b2o26b2o$35b2o26b2o
$35bo27bo!

[ZackBuildit777]

AND-NOT:

Code: Select all

x = 136, y = 131, rule = B3aij/S2-i3-ac4-ajnwy5-y
7$77b2o$78bo$78b2o40$22bo$20b3o$20bo6$15b2o19bo27bo27bo$15bobo17bob2o
24bob2o24bob2o$9b2o6bo21b2o26b2o26b2o$10bo2b4o22bobo25bobo25bobo14bo$
10b2obo27bo27bo27bo12b3o$13b3o2b2o18bob2o24bob2o24bob2o12bo$16bo2bo$
16bobo16b5o23b5o23b5o$16b3o16b2o26b2o26b2o6$20bo$18b3o$18bo5$77b3o$76b
o2bo$76b2o3bo$75bo3bobo$75bo5bo$74bo6b2o$75bo5b2o13$66b2o$67bo$67b2o
19b2o$79b2o8bo$79bob2o6b2o$75b2o5bo$74bo2bo2b3o$74b2obobo$77bobo$77b3o
2$78bo$76b3o$76bo!

... I think that's just XOR...?
or maybe just a NOT for the right-pointing gun?

no, its ANDNOT, the right side is b and bottom is a, and at the top an output equal to a AND(NOT b) is given. the right side is just outputting the exact value of the left

[confocaloid]

All periods were found except 13 and non-trivial 15:

A p13 oscillator (maybe already known) found by apgsearching D8_4. The haul (100000 soups, 1346713 objects, 1692238 bytes) turned out too large to be uploaded.

Code: Select all

x = 8, y = 8, rule = B3aij/S2-i3-ac4-ajnwy5-y
3b2o$2bo2bo$b2o2b2o$o2b2o2bo$o2b2o2bo$b2o2b2o$2bo2bo$3b2o!

[yujh]

Smaller P11

Code: Select all

x = 10, y = 8, rule = B3aij/S2-i3-ac4-ajnwy5-y
4b2o$5bo$2b2obo2b2o$2bo2b2obo$3o2b2obo$b3obo2b2o$bo3bo$4b2o!

[Period1GliderGun]

Smaller P11

Code: Select all

x = 10, y = 8, rule = B3aij/S2-i3-ac4-ajnwy5-y
4b2o$5bo$2b2obo2b2o$2bo2b2obo$3o2b2obo$b3obo2b2o$bo3bo$4b2o!

Bounding box reduction:

Code: Select all

x = 9, y = 8, rule = B3aij/S2-i3-ac4-ajnwy5-y
3b2o$bo2bo$obobo2b2o$obob2obo$bo2b2obo$obobo2b2o$bo2bo$3b2o!

[HotWheels9232]

Smaller Borogove backrake:

Code: Select all

x = 45, y = 19, rule = B3aij/S2-i3-ac4-ajnwy5-y
38b2o$38b5o2$41bob2o$44bo$42b3o$38b2o$38b2o$2b3o11b3o11b3o6bo$b2obo10b
2obo10b2obo$2o12b2o12b2o8b2o$bobobo9bobobo9bobobo5b3o$2b2obo10b2obo10b
2obo7b2o$4b2o12b2o12b2o7bobo$43b2o$42b2o$38bo$38b2o$40bo!

Is this p28?
Not sure what these are:

Code: Select all

x = 22, y = 97, rule = B3aij/S2-i3-ac4-ajnwy5-y
3b3o8bo$3bo2bo6b3o$3bob2o6bob2o2$10bo$3o4b2o2bo5bo$b2o4b2o2b2o4b2o$7b
2o9bo4$12b2o$12b2o$7b3o3b2o$7bo3bobo$8b2o3bo$8bo2b2o$9b3o$10bo7$12b2o$
12b2o$7b3o3b2o$7bo3bobo$8b2o3bo$8bo2b2o$9b3o$10bo7$12b2o$12b2o$7b3o3b
2o$7bo3bobo$8b2o3bo$8bo2b2o$9b3o$10bo7$12b2o$12b2o$7b3o3b2o$7bo3bobo$
8b2o3bo$8bo2b2o$9b3o$10bo7$12b2o$12b2o$7b3o3b2o$7bo3bobo$8b2o3bo$8bo2b
2o$9b3o$10bo7$12b2o$12bobo$7b3o4bo$7bo4b3o$8bo$8bob2o2b3o$9b2o3b3o$19b
2o$19bobo$21bo$19bobo$19b2o$13bo4bo$12bobo2bo$11bo2bo$11b2ob2o!

Code: Select all

x = 51, y = 22, rule = B3aij/S2-i3-ac4-ajnwy5-y
4b3o$3b2ob2o$b2obo$bo16b3o14b3o8bo$bo3bo12b3o14bo2bo6b3o$2b4o3b2o12b2o
10bob2o6bob2o$4bo4bobo11bobo$11bo13bo16bo$9b3o11b3o6b3o4b2o2bo5bo$5bo
13b2o12b2o4b2o2b2o4b2o$3b5o11b2o18b2o9bo$2bo3b2o12bo$b2obo$2o$bobobo
38b2o$2b2obo38b2o$4b2o33b3o3b2o$39bo3bobo$40b2o3bo$40bo2b2o$41b3o$42bo
!

Time to find some Borogove Syntheses!
The syntheses for xs23_4ap3wc4goz035853 and xs9_4ahr

Code: Select all

x = 49, y = 21, rule = B3aij/S2-i3-ac4-ajnwy5-y
33bob2o$33b3o$34bo9$13bob2o$13b3o$14bo2$48bo$47b2o$3o43b2o$2bo44b2o$ob
o$2o!

[Yoel]

All periods were found except 13 and non-trivial 15:

A p13 oscillator (maybe already known) found by apgsearching D8_4. The haul (100000 soups, 1346713 objects, 1692238 bytes) turned out too large to be uploaded.

Code: Select all

x = 8, y = 8, rule = B3aij/S2-i3-ac4-ajnwy5-y
3b2o$2bo2bo$b2o2b2o$o2b2o2bo$o2b2o2bo$b2o2b2o$2bo2bo$3b2o!

Somehow D8_4 symmetry often triggers the appearance of this particular oscillator.