Oscillators
This rule, besides having a practically infinite amount of p2 oscillators, also has a common p37 which can be found naturally.
Code: Select all
x = 4, y = 5, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
4o$o2bo$b2o$o2bo$4o!
Code: Select all
x = 16, y = 13, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
6bo2bo4$bo4b4o4bo$6bo2bo$3o4b2o4b3o$6bo2bo$bo4b4o4bo4$6bo2bo!
Code: Select all
x = 20, y = 5, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
3bo4b4o$8bo2bo$ob3o4b2o3b2o3bo$8bo2bo$3bo4b4o!
Code: Select all
x = 37, y = 26, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
16bo3$16bo$15bobo$14b5o$14b5o$15bobo$16bo2$9b2o3bo3bo3b2o$8b4o9b4o$4bo
2bob2obo7bob2obo2bo$8b4o9b4o$9b2o3bo3bo3b2o2$16bo$15bobo$14b5o$14b5o$
15bobo$16bo3$16bo!
Code: Select all
x = 146, y = 28, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8History
3D26.3D24.D.3D18.D.D.D14.3D.3D22.D.D.3D$2.D26.D.D24.D.D.D18.D.D.D16.D
3.D22.D.D.D.D$2.D26.3D24.D.D.D18.D.3D14.3D.3D22.3D.D.D$2.D28.D24.D.D.
D18.D3.D14.D5.D24.D.D.D$2.D26.3D24.D.3D18.D3.D14.3D.3D24.D.3D4$107.A
28.A$9.A27.A24.A20.A2$9.A27.A24.A20.A52.A$8.3A26.A23.A.A19.A52.A$9.A
27.A22.2A.2A14.A3.A3.A48.A$8.A.A25.3A20.2A3.2A17.A20.A5.A25.A$9.A26.A
.A17.A.A7.A.A14.A21.5A$7.A.A.A22.7A18.2A3.2A39.A3.A$3.A.A2.3A2.A.A13.
A.4A.3A.4A.A14.2A.2A18.A14.A6.A.A.A6.A10.A2.4A5.4A2.A$A.3A.7A.3A.A15.
7A20.A.A41.A3.A$3.A.A2.3A2.A.A20.A.A23.A42.5A$7.A.A.A24.3A65.A5.A25.A
$9.A27.A24.A73.A$8.A.A26.A98.A$9.A27.A98.A$8.3A$9.A27.A$107.A28.A$9.A
!
Meanwhile, this p13 and this p66 both have a minpop of 12:
Code: Select all
x = 26, y = 8, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
7bo14bo$4b3o15bo$6bo15bo$3bo2bo11b3o$o2b2o18b3o$2bo18bo$21bo$3bo17bo!
Code: Select all
x = 8, y = 5, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
3b3o$4bobo$obob4o$4bobo$3b3o!
This p11 is sparky.
Code: Select all
x = 9, y = 16, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
4bo3$4bo$4bo$4bo$bo5bo$2o2bo2b2o$bo5bo$4bo$4bo$4bo3$4bo!
Code: Select all
x = 46, y = 36, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
6bo32bo2$6bo32bo$6bo32bo$4b5o28b5o$5b3o30b3o$bo3bobo3bo10b2o10bo3bobo
3bo$o2b3ob3o2bo9b2o9bo2b3ob3o2bo$bo3bobo3bo5b2obob2obob2o5bo3bobo3bo$
5b3o6bo2b3o2b2o2b3o2bo6b3o$4b5o7b2ob2ob2ob2ob2o7b5o$6bo8b2o2b3o2b3o2b
2o8bo$6bo6b3o3bo6bo3b3o6bo$13b2o3bo8bo3b2o$6bo7b4o10b4o7bo$13bob2o12b
2obo$16bo12bo$11b5o14b5o$11b5o14b5o$16bo12bo$13bob2o12b2obo$6bo7b4o10b
4o7bo$13b2o3bo8bo3b2o$6bo6b3o3bo6bo3b3o6bo$6bo8b2o2b3o2b3o2b2o8bo$4b5o
7b2ob2ob2ob2ob2o7b5o$5b3o6bo2b3o2b2o2b3o2bo6b3o$bo3bobo3bo5b2obob2obob
2o5bo3bobo3bo$o2b3ob3o2bo9b2o9bo2b3ob3o2bo$bo3bobo3bo10b2o10bo3bobo3bo
$5b3o30b3o$4b5o28b5o$6bo32bo$6bo32bo2$6bo32bo!
Code: Select all
x = 32, y = 32, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
14bo2bo$14bo2bo2$15b2o2$14b4o$15b2o8$2o3bo20bo3b2o$3bob2o18b2obo$3bob
2o18b2obo$2o3bo20bo3b2o8$15b2o$14b4o2$15b2o2$14bo2bo$14bo2bo!
Code: Select all
x = 108, y = 988, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
o2bo2bo23bo$31b2o$31bo$6bo$3bo2$o3$o2bo2bo21$o2bo2bo28bo$35bo$34b4o$6b
o28bo$3bo28bo$30b4o$6bo25bo$32bo2$o2bo2bo21$6bo24bo9bo12bo$30b2o11bo10b
2o$31b2o9b2o10bo2bo$3bo2bo24bo11bo12b2o$57bo2$o2bo2bo3$6bo21$o2bo2bo23b
o12bobo2bobo14bo$30bo11bobob2obobo$30bo11b3ob2ob3o13bo$o29bo11bobob2o
bobo12b3o$3bo26bo12bobo2bobo13bo2$6bo$63bo$63bo$o2bo2bo56bo$63bo$63bo
19$o2bo2bo23b2o12bo7bo9bo2b2o$30b2o11b2o3bo3b2o9b2obo$30b2o13bo2bo2bo
11bob4o$o29b2o16bo17bo$3bo26b2o16bo$30b2o$o5bo23b2o$30b2o2$o2bo2bo21$
o2bo2bo24bo13bobobo17bo$47bo$30bobo12b5o17bo$5bo24bobo14bo18b3o$31bo13b
obobo17bo$31bo34bobo$4bo25bobo34bo$30bobo32bobobo$61bobo2b3o2bobo$3bo
27bo26bob3ob7ob3obo$61bobo2b3o2bobo$65bobobo$67bo$66bobo$67bo$66b3o$67b
o2$67bo12$o2bo2bo28bo12bo15bo6bo10bo4bo$31b4ob2o10bo15b2ob2ob2o10bobo
b2o$31bo4bo9bo17b2ob2ob2o9b4ob2o$o5bo24bo16b2o14b3o2b3o10bo2b3o$3bo27b
o50bo$30bo20bo$o5bo24b2o18bob2o$31bo$52bo$o2bo2bo21$o2bo2bo27bo13bo8b
o18bo16bo3bo$31bob3o11b2o8b2o36bo$30b5o14b2o4b2o19bo17b3o$o5bo24b5o13b
3o2b3o19bo18b2o$3bo28b5o13b2o2b2o20bo16bo$31b3obo16b2o21b3o20b2ob2o$6b
o25bo19b2o21bobo20b3obo$50b2o2b2o17b7o19b3o$49b3o2b3o11bob4ob3ob4obo13b
ob3o$o2bo2bo42b2o4b2o16b7o18b2ob2o$47b2o8b2o16bobo29bo$48bo8bo17b3o26b
2o$76bo27b3o$76bo28bo$76bo26bo3bo2$76bo14$3bo6bo2bo2bo16bo12bo$31b2o13b
o$o31bo11b5o$3bo6bo5bo$47bo$30b3o11bo$3bo6bo5bo14bo10b2o$32bo10bo$31b
o$o2bo2bo3bo2bo2bo14b2o$30bo20$3bo9bo20bo2$o9bo$3bo9bo20bo$34bo$34bo$
3bo9bo17bo5bo$30b2o2bo2b2o$31bo5bo$o2bo2bo3bo2bo2bo17bo$34bo$34bo3$34b
o16$3bo6bo2bo2bo14bo2$o$3bo12bo13b3o$13bo17bo$30bobo$3bo6bo19b3o$30b3o
2$o2bo2bo3bo2bo2bo14bo21$3bo6bo2bo2bo18b2o13b2o4b2o$34b4o12b3o2b3o$o35b
2o10b3o2b2o2b3o$3bo12bo17bobo11b2ob6ob2o$13bo16bob2o15bob6obo$33bo16b
8o$3bo12bo33b8o$33bo15bob6obo$48b2ob6ob2o$o2bo2bo3bo2bo2bo31b3o2b2o2b
3o$50b3o2b3o$50b2o4b2o19$3bo12bo13bo15bo19bo$30b2o35b2o$o29b2o14bo20b
o$3bo9bo2bo14bo14bo$30bo11bo3bo3bo$30b2o14bo$3bo6bo2bo2bo13b2o14bo$31b
o36b2o8bo$46bo20b4o5b2o$o2bo2bo9bo49b2o2b2o5bo$60bo5b2o2b2o$60b2o5b4o
$59bo8b2o5$70bo$69b2o$71bo10$42bo$3bo6bo2bo2bo23b5o$42bo$o$3bo6bo31bo
$13bo28bo$42bo$3bo12bo25bo2$31bo$o2bo2bo3bo2bo2bo14bo20bo$30b3ob4o14b
o$31bo14b4ob3o$31bo20bo$52bo2$41bo$41bo$41bo$41bo2$41bo$39b5o$41bo11$
3bo6bo2bo2bo18bo$35bo$o32b3o$3bo6bo21bob3o$13bo18b3ob2o$30b4obob4o$3b
o6bo5bo16b2ob3o$34b3obo$35b3o$o2bo2bo3bo2bo2bo18bo$35bo20$3bo6bo2bo2b
o24bo$39bobobo$o40bo$3bo11bo2$33bo4b2o3b2o4bo$3bo10bo18b2o3bob3obo3b2o
$30bob2o4b2obob2o4b2obo$33b2o3bob3obo3b2o$o2bo2bo6bo19bo4b2o3b2o4bo3$
41bo$39bobobo$41bo16$3bo6bo2bo2bo16b3o14bo12bo$34bobo13bo12bo$o29bobo
b4o10b4o10b4o$3bo6bo5bo17bobo13bo5b2o5bo$13bo19b3o$53b8o$3bo12bo36b2o
b2ob2o$53bo6bo$51bob2o4b2obo$o2bo2bo3bo2bo2bo34bob2o4b2obo$53bo6bo$53b
2ob2ob2o$53b8o2$50bo5b2o5bo$48b4o10b4o$50bo12bo$50bo12bo13$o2bo2bo3bo
2bo2bo14b3o$30bobo$30b2o3bo$6bo3bo5bo13bo3b2o$3bo29bobo$32b3o$o9bo5bo
3$o2bo2bo3bo2bo2bo21$o2bo2bo3bo2bo2bo26bo$42b2o$44bo$6bo9bo27bo$3bo9b
o2$o9bo3$o2bo2bo3bo2bo2bo$43b4o$42b6o$41bo2b2o2bo9bo$40b2ob4ob2o8b2o$
40b4o2b4o6b2o$32b2o6b4o2b4o$30b2o8b2ob4ob2o$31bo9bo2b2o2bo$42b6o$43b4o
7$45bo$45bo$46b2o$46bo11$o2bo2bo3bo2bo2bo22bo3$6bo9bo$3bo9bo2$o15bo19b
o5bo$37b5o$37bo3bo$o2bo2bo3bo2bo2bo13bo6bobobo6bo$37bo3bo$37b5o$36bo5b
o6$39bo12$o2bo2bo9bo14bo2bo$30b2o2b2o$31b4o$6bo6bo2bo14b4o$3bo2$6bo3b
o2bo2bo14b4o$31b4o$30b2o2b2o$o2bo2bo9bo14bo2bo21$o2bo2bo3bo2bo2bo45bo
$60bobobo$46bo15bo$6bo3bo26b2o$3bo9bo16bob3ob3o6b3o$37b2o$6bo3bo5bo29b
o9bo5bo5bo$62bo$62bo$o2bo2bo3bo2bo2bo39bo5bo5bo4$62bo$60bobobo$62bo15$
o2bo2bo3bo2bo2bo13b4o22bo$30bo2bo16bo11bo$31b2o17bo11bo$6bo8bo14bo2bo
14b4o9b4o$3bo26b4o16bo11bo2$6bo7bo39b5o$53bo2bo2bo$53bo2bo2bo$o2bo2bo
6bo33bo5b7o5bo$53bo2bo2bo$53bo2bo2bo$54b5o2$50bo11bo$48b4o9b4o$50bo11b
o$50bo11bo$56bo12$6bo3bo2bo2bo22bo3$3bo2bo3bo5bo22bo$39bo$39bo$o2bo2b
o3bo5bo22bo3$6bo3bo2bo2bo13bo2b4o5b4o2bo3$39bo$39bo$39bo$39bo3$39bo12$
6bo9bo19bo32bo2$36bo32bo$3bo2bo6bo2bo19bo32bo$34b5o28b5o$35b3o30b3o$o
2bo2bo3bo2bo2bo14bo3bobo3bo10b2o10bo3bobo3bo$30bo2b3ob3o2bo9b2o9bo2b3o
b3o2bo$31bo3bobo3bo5b2obob2obob2o5bo3bobo3bo$6bo9bo18b3o6bo2b3o2b2o2b
3o2bo6b3o$34b5o7b2ob2ob2ob2ob2o7b5o$36bo8b2o2b3o2b3o2b2o8bo$36bo6b3o3b
o6bo3b3o6bo$43b2o3bo8bo3b2o$36bo7b4o10b4o7bo$43bob2o12b2obo$46bo12bo$
41b5o14b5o$41b5o14b5o$46bo12bo$43bob2o12b2obo$36bo7b4o10b4o7bo$43b2o3b
o8bo3b2o$36bo6b3o3bo6bo3b3o6bo$36bo8b2o2b3o2b3o2b2o8bo$34b5o7b2ob2ob2o
b2ob2o7b5o$35b3o6bo2b3o2b2o2b3o2bo6b3o$31bo3bobo3bo5b2obob2obob2o5bo3b
obo3bo$30bo2b3ob3o2bo9b2o9bo2b3ob3o2bo$31bo3bobo3bo10b2o10bo3bobo3bo$
35b3o30b3o$34b5o28b5o$36bo32bo$36bo32bo2$36bo32bo15$o2bo2bo3bo2bo2bo21b
2o2$37b4o$o9bo26b4o$3bo9bo22bo4bo2$6bo9bo21b2o$36b2o2b2o2$o2bo2bo3bo2b
o2bo21b2o5$31bo3bo6bo3bo$35bo6bo$30b3ob3ob2ob3ob3o$35bo6bo$31bo3bo6bo
3bo5$38b2o2$36b2o2b2o$38b2o2$36bo4bo$37b4o$37b4o2$38b2o8$o2bo2bo3bo2b
o2bo17bo$34bo$34bo$o9bo19b3o$3bo9bo21b3o$33bo$o5bo3bo5bo16bo$33bo2$o2b
o2bo3bo2bo2bo21$o2bo2bo3bo2bo2bo22bo$39bo$38b3o$o5bo9bo15bo3b4o$3bo9b
o22b2o2bo$30b4o2b3o$o5bo3bo26bo$32bo$44bo$o2bo2bo3bo2bo2bo27bo$42b5o$
44bo$44bo$56bo$51bo$50b3o2b4o$48bo2b2o$49b4o3bo$48b3o$49bo$49bo10$o2b
o2bo3bo2bo2bo29bo3$o5bo3bo35bo$3bo9bo32bo2$o5bo9bo3$o2bo2bo3bo2bo2bo29b
o$46bo2$46bo$46bo$46bo$45bobo$30bo2b2o4b2ob3obob3ob2o4b2o2bo$45bobo$46b
o$46bo$46bo2$46bo$46bo5$46bo$46bo3$46bo8$o2bo2bo3bo2bo2bo27bo2bo$44bo
2bo2$o5bo3bo5bo28b2o$3bo9bo$44b4o$o5bo3bo5bo28b2o3$o2bo2bo3bo2bo2bo5$
30b2o3bo20bo3b2o$33bob2o18b2obo$33bob2o18b2obo$30b2o3bo20bo3b2o8$45b2o
$44b4o2$45b2o2$44bo2bo$44bo2bo9$o2bo2bo3bo2bo2bo25bo3$o5bo3bo5bo$3bo9b
o2$o5bo9bo$42bo$42bo$o2bo2bo3bo2bo2bo25bo$40bo3bo2$30bo6b3o5b3o6bo2$40b
o3bo$42bo$42bo$42bo7$42bo!
The most common spaceship naturally is this 8c/28o (simplified 2c/7o):
Code: Select all
x = 4, y = 5, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
2bo$2b2o$2obo$2bo$2bo!
Code: Select all
x = 14, y = 12, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
bobobo$3bo$obobobo7$bobobo2bobobo$3bo6bo$obobob2obobobo!
Code: Select all
x = 6, y = 13, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
4b2o6$2bo$b3o$3b2o$bo2b2o$b2obo$o!
This 2c/7o found by qfind can absorb dots:
Code: Select all
x = 32, y = 13, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
9bo3bobobo13bo3$2bobo$b3ob2o$3b2o$2b2o$obo$obo$2b2o$3b2o$b3ob2o$2bobo!
Code: Select all
x = 246, y = 225, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
5bo19b3o$4b3o18bo2bo$4b4o18bobo$3b5o17b2obo$b4obo2bo11b2obob4obo$4o3bo
b2o10bob4o3b2o$b4obo2bobo9bo3bobo3b3o$2b2obo4b3o9b4o5b3o$11bo13bo6bo$
4b3o2bobo14bo3bob2o$5bobo3bo13b4o3bo$6b8o13b6o$7bo3b3o13b2obo2bo$11b4o
19b2o$13b2o19b3o$15b2o18b2o$15b2o20b2o$17bo19b2o$18bo20b3o$19b3o17b3o$
19b3o17b3o$19b5o18bo$21b3o19b3o$21b3o19b3o$24bo18b3o$25bo20bo$26bo20b
3o$27b3o17b3o$27b3o17b3o$27b5o18bo$29b3o19b3o$29b3o19b3o$32bo18b5o$33b
2o3bo14b3o$33b2o3b3o12b3o$35b2o19bo$35b3o2bo16b3o$36b3ob4o13b3o$33b2o
2b3o3bo13b5o$34bo3bobobo16b3o$34bob2obo3bo15b5o$37bo3bobo17b3o$37bobo
3bo17b3o$37b2ob5o2bo16bo$43bo2b3o16bo$46b2o18bo$44b6o17b3o$43b6o18b3o$
44bob3o18b3o$46bo2b4o17bo$49b2o2bo17bo$49bo3bobo16bo$49bo3bob2o16bo$
50b4o2b2o16bo$55bobo17bo$51b2ob2obo18bo$52b2o3b2o18b3o$53b5obo2bo14b3o
$56bo6b2o12b3o$57bob3obo16bo$59bo21bo$59bo4bo17bo$57bo4b2o19bo$58b2o2b
2o20bo$58bo2bo4bob2o15b3o$65bob2ob3o12b3o$64bob2obobo13b3o$65b3obo18bo
$64b2o3bob2o16bo$64bob4ob5o14bobo$65bo7bo17b2ob3o$65b2ob2o2b2o3b2o11b
3ob4o$65bo2b2ob2o3b3o14b3obobo$69b3obo2b2o2bo10b4o2b3o$69bo5bo3bo11b3o
bobobo$69bo4b2o3b2o10b2o3bobobo$72b2o2bob2o12b4ob3o$71b3o3b4o13bob2ob
2o$71b2o3b2ob3o11b3ob4o3bo$74b6o2b2o12bob3obo2bo$73bobob2ob2o19bob2obo
$78bob2ob2o15bobo2b2o$79bo3bo17bob3o$79bob2o2bo13bobob2o$81bo2bo15bob
2ob2o$83bo17b2o2b2o$86bo2bo17b4o$88b2o17b2obo2bo$87bob3o15bo2bob2o$86b
6obo13b4o2bobo$88b2o2b2o17bob2o$88b2o2b4o13bo4bob2o$90b2obo14b4o2b3o$
89b5obo15b4o3bobo$91bo2bobo13bo2bo2bo2b2o$91bobobobo14b2ob2o4bo$94bobo
15bo4bo2b2o$95bob5o12bo5bo$97bo2b2obo11bo$97bo5bo10b2ob2ob2o$97b2ob2o
14b2o2bo4bo$97b2ob3ob2o16b5obo$101b2ob4o14bobo2b3o$98b2o3b3o3bo12b2o5b
o$101b4o3b2o11b2o2bo5bo$101b3ob4ob2o10bo3b2ob3o$102bo2bo2bo14bo2b2obob
o$102bo2bob3o12b2o5b2o2bobo$104b6obo11b2ob3obob2obo$103b2o2b2ob3obo11b
ob3obob3o$105bo3b3ob3o9b3o4b6o$105bo2b4obo15b3obobo$109bo2bob2o12b2ob
2obob2o$110b2o3bob2o11b2ob2obobo$109b2obo3bobobo7b5o2b2obo$110bob2obob
o2bo9b2ob3ob2obo$114bobobob2o9bobo2b2o$113bobobob2o13b3o$113b2obo2b2o
18b4o$117b4o15bo2b3o$114b8o17b2o$116bo3b2o5bo11bo$122b3o2bo15bo$122b7o
16b3o$122b2o2bobo15b4o$123bobob2o15b4o2bo$123b2o3b2o14b4o2bo$121b3obo
24b3o$123b4ob2o20bo$126bobob2o14b6o$129b2obo15bob3o$129bo3b3o12bo2b3o$
130bobob3o15b3o2bo$131bobo2bo16b5ob2o$131b2o2b2o17b2o2b2o$131b2ob2o18b
o2b4o$132b3obo16b2ob5o$155b3ob3obo$138b4o12b7ob2o$138b2obo12bob4o3bo$
138bob2o16bo3bo2b3o$138b3o18bob2ob4o$143bobo12b3o2bobo2bo$142b2ob2o15b
ob3o$144b2ob2o12b5ob3o$142b7o12b2obobobo2bo$143bobob3o11b2o2bo5bo$144b
4obo13bob2ob3obo$144b3o2bo15bo2bob3o$146b3o19b6o$150bob3o11b2ob3o2b3o$
151bobo14b3o5b2o$150bo3bo15bo2bob3o$150b2o4bo14bo4b2o$150bobobobo14bob
o2bo$155b3o13b7o$153b4o15b3ob2o$155bo2b3o17bo$157b2o5bo14bo3b3o$157bob
obo3bo14b4o2bo$157bo3b2o2bo14bo3b3o$159b2obo2bo14bob2obo$160b3o2b2o12b
2obo2bo$163b3ob2o10bobo2b2o$158bo4b4obo10bob5obo$159b7ob3o10b2o4b2obo$
162bobob3o16b2obo2bo$163bob4o18bob2o$163b7o16bobob2obo$165bo2b2o18b3o
2bo$170bo16bobo2b3o$171bobo17b2o$172bo16b3o$171bob2o16bo2bo$173b3o19bo
$174b2o20b4o$176b2o18b2o2bo$176b3o3bo13bobo$177b3o16bo3bo2bo$178bobob
2o13bob4obo$179b2obobo15b3obo$181b2o2bo14b3obo$177bob7o13bo3bobo$179bo
2b2obo14b3ob3o$180bobo20b4o$181b3ob3o16b2o$185b4o18bo2bo$185b2obo20b3o
$186b3o19bo2bo$207b2ob3o$208b6o$210b3o$211bobob2o$214bo2bo$213bo4bo$
213bo2bobob3o$214bo3b3obo$215b4o3b2o$217bob3o$216b2ob2ob2o$216bo2bob2o
b3o$216b3ob3o2bo$218bobo2b2o$221bob2o$221b2o2b2o$221bo3b4o$226b3o$226b
4o$228b3o$229b4o$230b2o$230bobo$233bo$234b2o3bo$234b4o$235b2ob3o$235bo
4bobo$236bo2bobo$234bobob5o$236b2obobo$238b3obo$237bobobobobo$242b4o$
243bo$242b2obo!
Code: Select all
x = 701, y = 190, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8
b2o11b4o18b2o18bo5bo11bo6bo13bo11b3o2b3o9bo9bo10bobobo14bo14b3o4b3o9bo
bobo2bobobo8bob2ob2obo471bo$4o10bo2bo17b4o16b3o3b3o31bo12bo4bo10bo9bo
12bo12bobobobobo10bobo4bobo13bo2bo12b9o106b2o15b6o32bobo26bo194bo85b3o
$4o10b4o16b2o2b2o17bo3bo10b3o6b3o9b2obo12bo2bo10bobo3bo3bobo8bobobobo
8b4obob4o9bobo4bobo10bobo4bobo9b9o106b7o10bobo2bo34bo25b3o192b3o83b2o$
4o9b6o9b7o4b7o10bo2bo2bo10b4o2b4o12b2o11bo4bo10bo4bo4bo45bo6bo13b2o2b
2o11b2obobob2o104b2o3bo2bo11b6o31b2o28b2o190b4o83bo$15b2o12bobob3o2b3o
bobo13b3o13bo2b2o2bo13bo14b2o12bobobobobobo26b7o13bo4bo15b4o13bo2bo2bo
104b7o2bo9bob2obobo30b3o26bo2b2o189b5o79b4o$27bobo14bobo12bo12b4ob2ob
4o39bo3bobobo3bo25bobobobo12bo6bo12bob4obo11b7o106bob3obo9bo2b3o31b4o
27b2obo188bo2bob4o76b2o$30bobobo4bobobo15bo50b2o14b7o28b2o3b2o13b2o2b
2o13bob4obo11bobobobo103b2ob2o3b2o9bo3b2o32bobo26bo191b2obo3b4o73bobob
o$31b4o4b4o15bobo49b2o15bobobo29bo5bo13b6o13b2o4b2o11b7o102b2o2bo5b2o
9bo35bo220bobo2bob4o71bo3bobo$32b3o4b3o15bo3bo63b9o27bo5bo11bo2b4o2bo
11b8o12bobobo103bo3bo3b2o46b3o218b3o4bob2o72b2o2bo$31b2o2bo2bo2b2o13b
2o3b2o46b4o11b11o24bo9bo9bo8bo11b2ob2ob2o13b3o104b2obo3b2o47bo221bo78b
3obo2bo$30b2o10b2o14bobo47b6o11b4ob4o45bo3b2o3bo12bo4bo15bo104b5o51b3o
220bobo2b3o69bo2b3o3b2o$108b6o10bo2bobobo2bo43bo10bo9b3o4b3o12bobo104b
o53b3o221bo3bobo69bobo3bo2bo$31bo10bo15bobo46b3o2b3o10b3obob3o66bo6bo
12bo3bo101bo277b8o71b2o2b2ob3o$31bo10bo65bo4bo11bo3bo3bo49b2o15bo6bo
12bobobo98bo59bo220b3o3bo71b2o6bo$123b4o2bo2b4o45bob2obo12bobo4bobo12b
3o96b2ob2o57b3o218b4o75bobo5b2o$31b3o6b3o67b2o13bo2bobo2bo46b3o2b3o11b
3o4b3o10b7o93b4ob2o53b5o219b2o75bo2b2o3b2o$30b2o10b2o80bobo2bo2bobo46b
2o2b2o13bo6bo11b2o3b2o93b2obo57b2obo217b2o77b6ob3o$30bobo8bobo137bob2o
bo15bo2bo13b7o93b2obo54b6o218b2o76bo2bo2b4o$30b2ob2o4b2ob2o81bobo3bobo
49b2o17bo2bo12b2obobob2o91b4o52b3o2b2o219bo76bo5b3ob2o$31bo2bob2obo2bo
84bo3bo49bob2obo31b9o91b2obo50b2o3b4o218bo82b2o$182b4o16b4o15bobo95b2o
51b2ob2o2bo216b3o77bo5bo$31bo10bo137bo2b2o2bo31bob3obo89b2o3bo49b2obo
222b3o75b2o5bo$179b3ob2ob3o31bobobo91bob4o49bobo4bo215b5o74bobo5bo$
180b3o2b3o12bo6bo11bob3obo93bo53b3o218b3o75b4obo3bo$178b4ob2ob4o9b3o4b
3o10bob3obo91b3o48b4obo220b3o74b2obob3o$180b2o4b2o13bob2obo11b2ob3ob2o
90bo50b5o220bo76bobo2b5o$180b2o4b2o13b2o2b2o12b3ob3o89bob3o48bobo221bo
76b3ob3ob2o$178bobo2b2o2bobo9b2ob4ob2o11b2ob2o89b3obo46bo3b2o220bo76bo
4bo3b2o$179b10o11b3o2b3o12b5o89b2o53bo218b3o75b2obo4bobo$179bo2b4o2bo
31b2ob2o89b3o51bo2bo216b3o74bo$180bobo2bobo14b4o14bobobo86b3o55bo216b
5o82b2o$181b6o15bo2bo15bobo86b2o274b3o74bobo5bo3bo$180b8o14b4o16bo87b
2o274b3o73bob3o6bo$180b3o2b3o15b2o105b2o273bo76b2obo5bo$181b2o2b2o16b
2o104bo269bo3b2o77bobob2obo$182bo2bo17b2o101bob2o267b3o3b2o77b9o$181b
6o15b4o98b2o2bo272b2o79b2obo$182bo2bo117b6o268bo2b3o74b2ob2ob2ob2o$
300b4ob2o267b4ob3o76bo2bob2ob2o$203b2o96b2o2b2o267bo3b3o2b2o76b4o$203b
2o96b2obo270bobobo3bo71bo2b2o2bob2o$203b2o93bobob3o269bo3bob2obo74bo2b
2o$300b2obo270bobo3bo71b4o5bo$200b3o2b3o89b3ob3o270bo3bobo72bobo2bo$
199b2obo2bob2o88bobo270bo2b5ob2o74b2ob2o$200bo6bo85b3ob2obo268b3o2bo
78bob3o$294b3o2bo270b2o79bob2ob2o$293b3obo270b6o74bobob2o3b2o$293b2o
274b6o71b4obo6bo$292b2o275b3obo73b2o2bo$292bobo270b4o2bo76bo2bo$290b2o
bo270bo2b2o73bo4bo3b2o$289b3o270bobo3bo73b2ob4o2b2o$284bo3b2o271b2obo
3bo72bob4obo2b2o$282bobo2b2o271b2o2b4o74bobo3b2o$279bob3ob2o273bobo78b
o2b2o2bo$279b3ob4o273bob2ob2o71bob2o3b2obo$279b2o3b2o273b2o3b2o73b2o4b
2ob2o$280b3o272bo2bob5o71bob2o3bobobo$276bo3b2obo269b2o6bo73bo5bo3b2o$
277b2obob3o269bob3obo83bo$275bob2ob4o274bo75b2o6b2obo$276bo4b2o270bo4b
o73b5o6bo$275b2obob2o272b2o4bo71bo10bo$276bob4o272b2o2b2o71bobob2o2bo$
275b2o2bo268b2obo4bo2bo70b2ob3ob4o$272b3obob2o265b3ob2obo75bobob3o3b2o
$270b2obobo2b2o266bobob2obo74b3o3b2obo$272bo4bobo268bob3o76bobo2bobo$
269bo6bobo266b2obo3b2o75b2o2b3o$542b5ob4obo72b6ob2o$268bo275bo7bo76b2o
$267bo271b2o3b2o2b2ob2o76bobo$264b4o271b3o3b2ob2o2bo73bobo2bo$263b3ob
2o268bo2b2o2bob3o$262bob2obo270bo3bo5bo$260bobobo2bo269b2o3b2o4bo$260b
obo2bo272b2obo2b2o$260b3o2bo271b4o3b3o$258b3o2bobo270b3ob2o3b2o$259bo
2b2o270b2o2b6o$258bob2ob2o271b2ob2obobo$256b2o5b2o268b2ob2obo$256b3o3b
o271bo3bo$253bob2o2b2o2bo268bo2b2obo$253bob2o2bob2o270bo2bo$252b2obo3b
o274bo$256bo2bo268bo2bo$255b3o270b2o$251b3o3b2o267b3obo$252bo271bob6o$
242b2o2bo2b3o272b2o2b2o$242b7obo271b4o2b2o$242b3o2b2o275bob2o$245bo2b
2o272bob5o$244bo2bobo271bobo2bo$240b3o4bo272bobobobo$240b4o277bobo$
239bobo274b5obo$240bo273bob2o2bo$239b2o273bo5bo$238b3o275b2ob2o$237bob
o272b2ob3ob2o$236bob2o270b4ob2o$238b3o267bo3b3o3b2o$237b3o268b2o3b4o$
506b2ob4ob3o$236b2o271bo2bo2bo$237bo270b3obo2bo$235bo270bob6o$503bob3o
b2o2b2o$502b3ob3o3bo$504bob4o2bo$502b2obo2bo$499b2obo3b2o$497bobobo3bo
b2o$497bo2bobob2obo$496b2obobobo$497b2obobobo$497b2o2bob2o$497b4o$496b
8o$490bo5b2o3bo$490bo2b3o$489b7o$489bobo2b2o$489b2obobo$488b2o3b2o$
492bob3o$488b2ob4o$486b2obobo$485bob2o$482b3o3bo$481b3obobo$481bo2bobo
$481b2o2b2o$482b2ob2o$481bob3o2$476b4o$476bob2o$476b2obo$477b3o$472bob
o$471b2ob2o$469b2ob2o$469b7o$468b3obobo$468bob4o$468bo2b3o$469b3o$463b
3obo$464bobo$463bo3bo$461bo4b2o$461bobobobo$460b3o$461b4o$457b3o2bo$
453bo5b2o$452bo3bobobo$452bo2b2o3bo$452bo2bob2o$451b2o2b3o$449b2ob3o$
449bob4o4bo$448b3ob7o$449b3obobo$449b4obo$448b7o$448b2o2bo$447bo$444bo
bo$445bo$443b2obo$442b3o$442b2o$440b2o$435bo3b3o$438b3o$434b2obobo$
433bobob2o$432bo2b2o$432b7obo$432bob2o2bo$435bobo$430b3ob3o$429b4o$
429bob2o$429b3o!
I did say I'd talk about the objects in the variants of the rule, so...
The variants of this rule are actually pretty interesting, most of them having at least one high-period oscillator.
B2n-less
The B2n-less variant has a p24, a p29, a p52 mod 26, a p77, and a p101. It also supports the p11 oscillator from the original rule, as well as adding a new p11 and p13:
Code: Select all
x = 167, y = 35, rule = B3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein7e8History
D.D17.D.3D13.3D.D.D21.3D.3D22.3D.3D15.3D.3D25.D.3D.D$D.D17.D3.D15.D.D
.D23.D.D.D22.D5.D17.D3.D25.D.D.D.D$D.D17.D.3D13.3D.3D21.3D.3D22.3D.3D
17.D3.D25.D.D.D.D$D.D17.D3.D13.D5.D21.D5.D24.D.D19.D3.D25.D.D.D.D$D.D
17.D.3D13.3D3.D21.3D.3D22.3D.3D17.D3.D25.D.3D.D6$4.A2.A12.A3.A21.A2.A
26.A22.A3.A24.A26.2A2.2A$23.2A3.A15.2A4.2A46.5A23.A.A.A$5.2A15.3A.A
18.A4.A47.4A26.A$3.6A12.2A.2A.A68.6A.A2.A20.A.A$A2.2A2.2A2.A8.5A.A68.
5A5.A18.2A2.A2.2A$2.2A4.2A13.A.5A66.3A.2A.3A18.A.5A.A24.2A$2.2A4.2A
12.A.2A.2A16.A4.A23.A.A.A17.3A.2A.3A18.A.5A.A16.A.A5.2A5.A.A$A2.2A2.
2A2.A11.A.3A16.2A.2A.2A21.A.A.A.A16.A5.5A17.2A2.A2.2A24.2A$3.6A12.A3.
2A11.2A3.A.6A.A3.2A14.A.2A.2A.A14.A2.A.6A14.4A3.3A3.4A$5.2A18.A3.A14.
2A.2A.2A21.7A20.4A16.A2.A2.A.A.A2.A2.A$45.A4.A15.A5.A2.3A2.A5.A12.5A
13.A3.2A2.2A3.2A2.2A3.A$4.A2.A65.7A18.A3.A16.A.2A.A7.A.2A.A$72.A.2A.
2A.A35.3A.6A5.6A.3A14.2A2.2A$73.A.A.A.A39.A.2A.A7.A.2A.A$45.A4.A23.A.
A.A38.A3.2A2.2A3.2A2.2A3.A$44.2A4.2A68.A2.A2.A.A.A2.A2.A$46.A2.A70.4A
3.3A3.4A$124.2A2.A2.2A$124.A.5A.A$124.A.5A.A$76.A47.2A2.A2.2A$127.A.A
$128.A$126.A.A.A$128.A!
This variant includes a cute, natural p32 and a p66 (not the one in the original rule), as well as a p13, p25 (which can be stabilised, creating a p50), and a p42.
Code: Select all
x = 116, y = 27, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ei7e8History
D.3D18.3D.3D16.3D.3D7.D.D.3D12.3D.3D20.3D.3D$D3.D20.D.D20.D3.D7.D.D3.
D12.D3.D.D20.D3.D$D.3D18.3D.3D16.3D.3D7.3D.3D12.3D.D.D20.3D.3D$D3.D
18.D5.D18.D.D11.D.D16.D.D.D20.D.D.D.D$D.3D18.3D.3D16.3D.3D9.D.3D12.3D
.3D20.3D.3D6$7.A21.A16.4A17.A17.A22.A4.A$46.A2.A17.A18.2A20.2A2.2A$5.
2A.2A19.A16.A2.A16.A2.A16.A22.A2.A$5.2A.2A18.A.A34.A.A.A36.3A.2A.3A$
6.A.A19.A.A35.3A39.6A$2.2A.5A.2A13.3A.3A30.A2.3A15.A.3A.A17.6A$2.4A3.
4A10.A.A3.A3.A.A26.A.2A.A17.5A5.A13.A2.A$A4.A.A.A4.A11.3A.3A27.2A.4A
17.2A3.2A2.2A$2.4A3.4A15.A.A33.2A14.A3.2A.A.2A3.A$2.2A.5A.2A15.A.A31.
2A16.2A2.2A3.2A$6.A.A20.A49.A5.5A$5.2A.2A74.A.3A.A$5.2A.2A19.A2$7.A
80.A$87.2A$89.A!
A funky p11 exists. A p18 exists. Other periods include p26, p35 (which is actually real) and a p55 which is just an 8x8 solid box in one phase.
Code: Select all
x = 105, y = 29, rule = B2n3-enqy4cijrwyz5cinqy6kn78/S01e2ein3eikry4-ciry5-aeky6ein78History
D.D21.D.3D15.3D.3D19.3D.3D13.3D.3D$D.D21.D.D.D17.D.D23.D.D15.D3.D$D.D
21.D.3D15.3D.3D19.3D.3D13.3D.3D$D.D21.D.D.D15.D3.D.D21.D3.D15.D3.D$D.
D21.D.3D15.3D.3D19.3D.3D13.3D.3D6$2.A26.A22.A23.A21.2A$2.A47.A.A.A43.
2A$4A23.A3.A20.A44.4A$2.3A21.7A63.6A$3.2A22.2A.2A43.3A17.2A.2A.2A$5.
3A16.A2.A3.A2.A16.3A22.A16.12A$5.A21.2A.2A19.3A22.A16.12A$5.A20.7A11.
A5.A.A.A5.A14.A19.2A.2A.2A$10.A16.A3.A16.2A2.A2.2A18.A20.6A$10.A32.3A
2.9A2.3A12.3A20.4A$8.3A18.A18.2A2.A2.2A41.2A$11.2A31.A5.A.A.A5.A37.2A
$11.3A37.3A$12.4A35.3A21.A$13.A$13.A$52.A$50.A.A.A$52.A!
1. Find a p17 in the original rule (or find a p17 in a variant)
2. Apgsearch D8_1, D8_4, C4_4 more in the original rule (up to 5 million objects for each)
3. Find 3c/7o, 3c/8o, c/9o, and c/7d spaceships in the original rule
edit 10/28/2024: add new p14, p22, and a new p37 that somehow escaped my grasp for a month
edit 12/28/2024: add p17, p55 and p82
edit 12/29/2024: add 2c/9o found by AforAmpere
edit 01/03/2025: add c/8d and new p11
edit 01/29/2025: add (2,1)c/5
edit 07/18/2025: add p15
edit 07/19/2025: add new p9