B34ar5in/S2i3-i4-nwz5ceny6cei7e8

[H. H. P. M. P. Cole]

Finally: I have found an INT rule! (This rule can be found in my wiki page, in case this looks familiar to you.)

RULEGOLFING THIS RULE

This rule was designed to have several small p2s:

Code: Select all

x = 69, y = 18, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
bo16bo6bo$bo6b3o8b2o3b3o5b2o5b3o5bo$bo7bo9bo5bo7b2o5bo6b2o$39b3o4b2o3$
bo5bo3bo7bo5bo21bo$bo4b3o3b2o4b2o4b3o5b2o13b2o$3o4bo3b2o6b2o4bo7b2o11b
2o$7bo4bo6bo4bobo5b2o13b2o4$bo6bobo6bobo4bobo5b2o5b3o5bo12bo$b3o5b3o6b
2o5b3o5b2o5bo6b2o5bo5bo4bobo$3o5b3o6b4o3b3o5b2o5b3o4b2o4bobo4bobo4bo$
2bo7bo8bo5bobo5b2o5bo6b2o4bobo3b3o3bob2o$39b3o4b2o5bo13bo!

And a handful of extensible ones too:

Code: Select all

x = 68, y = 34, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
20bo5bo4bo6bo6bo6bo6bo5bobo$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o
$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b
3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o
4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o
$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b
3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5bo5b
2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b
3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o
4b3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b
2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b
3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o
4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5bo
5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o
3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b
3o4b3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o
3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o
5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5bo5b2o4b2o4bo5b
3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$b2o4bo5b
o5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b
4o3b3o$b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$2o5bo4bobo4bo4bo5bobo
4bo5bobo5bobo3bobo4bobo!

I golfed this rule to have a small 6-cell c/3 (see below), and make this rule more active.

OSCILLATORS

This is a catalogue of all known elementary oscillators. rlifesrc found the p3 billiard tables, and nbsearch2a found most of the high-period and large oscs.

Code: Select all

x = 196, y = 219, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
153bobo$154bo$133bo20bo$116b2o2b3o10bo6bobo11bo$5b2o24b2o5b2ob2o74bo4b
o10bo6b3o9b5o$6bo7b2o5b2o8b2o5b2ob2o74bo2b3o8b2ob2o3bobobo7bobobobo$6b
o7b2o5b2o6b2o2b2o5bo76bo2bo11bobo6bo5bo3b2obob2o3bo$6bo16b2o4b2o2b2o3b
2ob2o73b3ob3o8bobobo3b2ob2o4b4obobob4o$5b3o15b2o6b2o5b2ob2o89b3o6bo5b
o3b2obob2o3bo$31b2o100bo5b5o7bobobobo$133bo6b3o9b5o$140bobo11bo$154bo
$154bo$153bobo4$5b3o7bo16bo6bo$7bo7bo6b3o8b2o3b3o5b2o5b3o5bo78bobo$5b
3o7bo7bo9bo5bo7b2o5bo6b2o77b3o19bo11bo$5bo47b3o4b2o77bobobo18bobo7bob
o$5b3o132b3o18bobo9bobo$141bo18bob3o7b3obo12bo$15bo5bo3bo7bo5bo21bo77b
obobo14b2obobo3bobo3bobob2o9b3o$15bo4b3o3b2o4b2o4b3o5b2o13b2o75b3ob3o
15b3o4b3o4b3o12bo$14b3o4bo3b2o6b2o4bo7b2o11b2o54b2o2bobo16bobobo15bob
o6bo6bobo11bo$21bo4bo6bo4bobo5b2o13b2o54bo2bobo13bo2bobobo2bo20b3o15b
o3bo3bo$117bo2b3o9bo2b4ob3ob4o2bo17bo14b2o4bo4b2o$117bo4bo7b2obo2bo2b
obobo2bo2bob2o9b2obo2bo2bob2o9b5ob5o$116b3o3bo8b5ob4ob4ob5o11b5ob5o9b
2o4bo4b2o$15bo6bobo6bobo4bobo5b2o5b3o5bo12bo55b2obo2bo2bobobo2bo2bob2o
9b2obo2bo2bob2o10bo3bo3bo$15b3o5b3o6b2o5b3o5b2o5bo6b2o5bo5bo4bobo50bo
2b4ob3ob4o2bo17bo20bo$14b3o5b3o6b4o3b3o5b2o5b3o4b2o4bobo4bobo4bo55bo2b
obobo2bo20b3o19bo$16bo7bo8bo5bobo5b2o5bo6b2o4bobo3b3o3bob2o56bobobo15b
obo6bo6bobo10b3o$53b3o4b2o5bo13bo56b3ob3o15b3o4b3o4b3o12bo$139bobobo14b
2obobo3bobo3bobob2o$141bo18bob3o7b3obo$18bo121b3o18bobo9bobo$16bobobo
118bobobo18bobo7bobo$16bobobo43bobobobo69b3o19bo11bo$15b7o40b9o69bobo
$17bobo43b9o$62b9o$63b9o$62b9o$15bo7bo6bobo5bobo5bobo4bobo7b9o76bobo$
15b3o3bob3o4b3o3bob2o4bob3o4b3o6b9o45b2o2b3o8bo16b3o$13b2obo5bobo3b2o
bo5bo2bo4bobo3b2obo8b9o45bo2bo9b3o15b3o$14b2o5b3o5b2o5b2o6b3o5b2o9bob
obobo47bo2b3o7b3o15b3o$14bo7bo6bo8bo6bo5b2o64bo2bobo7b3o14bobobo$116b
3ob3o7b3o13b3ob3o$130b3o12bobobobobo$131bo12b3ob3ob3o$130b3o7b4obobob
obobob4o$14bo5bo6bo6bo5bobo5bobo5bobo5bobo5bobo5bobo5bobo40bo9b4ob3ob
3ob4o$14bobo3bobo4bobo4bobo4bo2bo4bo7bo6b3o5b2o6b3o5b3o39b3o7b4obobob
obobob4o$13bo5bo5bo7b2ob2o2b2obo3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b
2ob2o39bo12b3ob3ob3o$14b3o3b3o3b4o4bobo4bob2o4bo7b2o6bo7b2o6b2o5b3o54b
obobobobo$14bo4bobo3bobo8bo6bo4bobo5bobo5bobo5bobo5bobo5bobo55b3ob3o$
147bobobo$148b3o$148b3o$13bobo5bo6bo6bobo8bo6bo5bobo5bo6bo5bobo65b3o$
14bo5b2obo4bobo5bo7b3o4b3o4b3o4b3o4b3o4b3o66bobo$13bo2bo4bobo3b2ob2o3b
o2bo6b3o4b3o4b3o4b3o4b3o4b3o$14bob2o2bob3o4bo7b3o$14b2o6bo5bobo7bo6b3o
4b3o4b3o4b3o4b3o4b3o$44b3o4b3o4b3o4b3o4b3o4b3o34b2o2b3o11bo12bo12bo$46b
o5bobo4bobo55bo2bobo9b3o10b5o8b5o$65b3o4b3o4b3o35bo2b3o10b3o10b3o10b3o
$66b3o4b3o4b3o34bo2bobo7bo3bobo6bo3bo3bo4bo3bo3bo$66bo5bobo4bobo34b3o
b3o8b3ob4o5b3ob3o6b3ob3o$131bo2bob2o6bo2bo2bo5bo3bo3bo$134bo2bo9bo11b
3o$133b2o11b3o9b5o$33bo5bo4bo6bo6bo6bo6bo5bobo54bo24bo$13b2o4b3o3b3o3b
2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o
5b3o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$14b2o4bo5bo5b2o4b2o
4bo5b3o4b3o4b2o5b2o5b3o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o
$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$13b2o4b3o3b3o3b2o4b2o4b3o
3b3o4b3o4b4o3b4o3b3o36b3ob3o10b4o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b
2o5b3o37bobobo11b2o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o36b3o
bobo9bo4bo$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o35bo3bobo8b8o$13b
2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o36b3ob3o8bobo2bobo$14b2o4bo
5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o51b2o2b2o$13b2o4b3o3b3o3b2o4b2o4b3o
3b3o4b3o4b4o3b4o3b3o54b2o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o53b
2o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$14b2o4bo5bo5b2o4b2o4b
o5b3o4b3o4b2o5b2o5b3o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o$14b
2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o
4b3o4b4o3b4o3b3o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$13b2o4b3o
3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o51bo$14b2o4bo5bo5b2o4b2o4bo5b3o4b
3o4b2o5b2o5b3o49b3o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o36b3o
b3o7b3o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o37bo3bo7b3o$13b2o4b
3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o36b3ob3o7b3o$14b2o4bo5bo5b2o4b2o
4bo5b3o4b3o4b2o5b2o5b3o35bo3bo9b3o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b
4o3b4o3b3o36b3ob3o8bo$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o49b3o
$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o51bo$14b2o4bo5bo5b2o4b2o
4bo5b3o4b3o4b2o5b2o5b3o49bobo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b
4o3b3o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o$13b2o5bo4bobo4bo4bo
5bobo4bo5bobo5bobo3bobo4bobo$138bo$137b3o$138bo$48b2o2b2o84bo$49b4o16b
3o66bo$4b3o40bobo2bobo14b3o63b2obob2o$6bo7b2o2b2ob2o4b2o2b2o2b2o10b2o
b2ob2o14bobo44b3ob3o11bob5obo$5b2o7b2o2b2ob2o4b2o2b2o2b2o8b2obob2obob
2o10b2obob2o44bobo13b2obobob2o$6bo9b2o2bo8b2o2b2o8bo2b2o6b2o2bo7bobob
obobo41b3ob3o7bo4b2obob2o4bo$4b3o7b2obo2bo6b2o2b2o2b2o6b3o10b3o7b2ob3o
b2o41bo3bobo6b7obobob7o$14b2obo2bob2o3b2obob2ob2o7bob2o6b2obo5b3o2bob
obo2b3o38b3ob3o7bo4b2obob2o4bo$16b3obob2o5b2o2b2o9bob2o6b2obo5b2ob4ob
4ob2o56b2obobob2o$14b2ob5o5b2ob3o2b2o6b3o10b3o4b3o2bobobo2b3o56bob5ob
o$14b2o5bo5b2o4bob2o6bo2b2o6b2o2bo7b2ob3ob2o60b2obob2o$16b2ob2ob2o5b2o
b2o11b2obob2obob2o9bobobobobo63bo$16b2ob2ob2o5b2ob2o13b2ob2ob2o12b2ob
ob2o64bo$47bobo2bobo14bobo66bo$49b4o16b3o65b3o$48b2o2b2o15b3o66bo5$4b
obo16bobo5bo7b2o8bo$4bobo8bobo6bo7b2o5b2o6bobobo$4b3o8bobo4bobobo5bo6b
2o6bo3bo$6bo7b5o4b3o6bo6b2o5b7o78bo$6bo9bo6bobo5b2o6b2o6bo3bo64b3ob3o
6b2obo$33bo5b2o6bobobo66bobobo7b3o$49bo66b3ob3o9bo$116bo3bobo$116b3ob
3o7bo2bo$15b4o113b3o$15bo2bo113bo$4b3o8bobobo$4bo9bobobob3o$4b3o5b2ob
obobo2bo$6bo5bobobobobobo$4b3o5bo2bobobob2o$12b3obobobo$15bobobo118bo
bo$16bo2bo118b3o$16b4o119bo$139bo$139bo$139bo$136b2obob2o$23bobo16b4o
89b9o$4b3o8b3o6bo7bo10b2o5bo83bobo5bobo$4bo11bobo4b2o7b2ob2o13b3o80b3o
b5ob3o$4b3o8bob3o5b3o3b2ob2o13bobobo62b3ob3o10b2obo2bo2bob2o$4bobo10b
o6bobo8bo14bob2o64bo3bo4b2o5bobo2bo2bobo5b2o$4b3o34b2o8bob2o62b2ob3o5b
7ob3ob3ob7o$40b4o8bo65bobo6b2o5bobo2bo2bobo5b2o$116b3ob3o10b2obo2bo2b
ob2o$133b3ob5ob3o$134bobo5bobo$135b9o$136b2obob2o$24bo114bo$24bo114bo
$21bo2bo2bo111bo$4b3o14bo2bo2bo111bo$6bo13bob2ob2obo109b3o$6bo12bob2o
bob2obo108bobo$6bo10b2obobobobobob2o$6bo12b3o2bo2b3o$19bo4bo4bo$15b4o
b4ob4ob4o$19bo4bo4bo$19b3o2bo2b3o$17b2obobobobobob2o$19bob2obob2obo$20b
ob2ob2obo$21bo2bo2bo107b2o2b2o$21bo2bo2bo108b4o$24bo91b3ob3o10bo2bo2b
o2bo$24bo93bobo12b3o4b3o$117b2ob3o11bo6bo$118bobobo11bo6bo$116b3ob3o10b
3o4b3o$133bo2bo2bo2bo$4b3o129b4o$4bobo9b2o7bo109b2o2b2o$4b3o9b2o7b3o$
4bobo15b3o$4b3o9b2o6bo$15b4o7$142bobo10bobo12bobo$16bo10bo8bo106bo12b
o14bo$2o2b3o9bo8b3o6b5o91bobo7bo2bo2bo6bo2bo2bo8bo2bo2bo$bo2bobo8b2o9b
2o8bo67b2o2b3o5bobo12bo9b2ob2o8b2ob2o10b2ob2o$bo2bobo10bo8bob3o3b5o66b
o2bobo2bo2bobo9bo2bobo6bo2bobobo5bo2bobo2bo6bo2bobo2bo$bo2bobo11bo8b3o
5b3o67bo2bobob3ob3ob3o6b2ob3o8b2ob3o7b2ob2o10b2ob2o$3ob3o12b3o7bo5bob
o67bo2bobo2bo4bobobo5bo2bobobo6bo2bobobo5bo2bobobo7bo2bobo2bo$19bo84b
3ob3o7bobobo7b3ob3o7b3ob3o7b2ob3o9b2ob2o$131bobobo9bobobo7bo2bobobo7b
o2bobobo$132b3o11b3o10b3ob3o9b2ob3o$133bo13bo12bobobo9bo2bobobo$161b3o
12b3ob3o$162bo14bobobo$178b3o$179bo!

Notice most known oscs tend to be even-period. Unlike high-period oscs in Life, which have an active region in the center and a stable periphery, most of the oscillators in this rule has it the other way round.

There is a p8 OMOSASL (oscillator made out of a spaceship and a still-life), and a p36 that can be thought of as being made of four of these p8 oscillators. Additionally, there is a p6 OMOS.

SPACESHIPS AND INFINITE GROWTH

Here is the list of known spaceships and infinite growth:

2c/4o, c/3o (ship, wickstretcher), 2c/6o, c/5o (ship, wickstretcher), c/5d

Code: Select all

x = 400, y = 99, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
6b2o19b2o16b2o4b2o4b2o4b2o3b2o5b2o3b2o5b2o8b2o8b2o3b2o6b2o3b2o6b2o4b2o
6b2o7b2o6b2o3b2o5b2o4b2o12b2o10b2o7b2ob2ob2ob2o6b2o6b2o7b2o6b2o6b2o6b
2o7b2o$4b6o15b6o14b2o4b2o4b2o4b2o3b2o5b2o3b2o5b2o8b2o8b2o3b2o6b2o3b2o
6b2o4b2o6b2o7b2o6b2o3b2o5b2o4b2o12b2o10b2o6b2ob3ob3ob2o5b2o6b2o7b2o6b
2o6b2o6b2o7b2o$3bobo3b2o13bobo3b2o12bo2bo2bo2bo2bo2bo2bo2bobo2bo3bo2b
obo2bo3bo2bo6bo2bo6bo2bobo2bo4bo2bobo2bo4bo2bo2bo2bo4bo2bo5bo2bo4bo2b
obo2bo3bo2bo2bo2bo32bo2bo3bo2bo$2b2obobobob2o10b2obobobob2o11b2o4b2o4b
2o28b2o8b2o21b2o3b2o21b2o6b2o36bo11bo12bobobobo6bo12bo3bo12bo2bo12bo3b
o110b5o$2b2o7b2o10b2o7bobo29b2ob2o7b2ob2o27b2ob2o20b2o4b2o24b2ob2o6b2o
4b2o11b5o7b5o6bo7bo6b5o2b5o5b5o2b5o4b5o2b5o5b5o103bo2b5o$bob2o5bo2bo8b
ob2o6bo2bo15b3o2b4o3b3ob3o5b3ob3o4b4o6b4o7b3ob3o5b3o3b3o4b2obo2bob2o7b
2o4b4o5b3ob3o4b2obo2bob2o9bo11bobo2bo8bo3bo7bo3bo4bo3bo3bo12bo2bo12bo
3bo106bo9bo$2o3bo4bo2b2o6b2o3bo5bobo15b3o4bobo4b2ob2o7b2ob2o6bobo6bo2b
o8b2ob2o7b3ob3o7bob2obo8b2o4b6o5b2ob2o7bob2obo13bob2o8bo2b2o6bo5bo8bo
8bo7bob2o2b2obo6bob2o2b2obo7bob2o100bobobo2bob2o$bo9bobo8bo8bo2b2o17b
o2bo3bo2bobobobo5bo5bo4bo3bo4b2obobo6bo5bo5bo7bo5bo6bo6b2obo6b2o5bo5b
o5bo6bo22b2o2b2o21b2obo4bob2o142bo4bo3b2o$2ob3o4b2ob2o6b2ob3o7bo22b3o
4b5o8b3o7b3o7bobo9b3o22bo4bo9bo4b2o10b3o8bo4bo12bobo10bobobo37bobo6bo
bo4bobo6bobo5bobo102b3o3b3o$bob2o8bo8bob2o5b2ob2o30bo9bo3bo27bo3bo10b
o10bo4bo24bo5bo6bo4bo23b2obo23b3o6b3o141b2o4bo2bo$2obo2bo5bo8b2o3b3ob
o2bo31b3o10bo31bo9b7o7bob2obo6bobobo14b2ob2o7bob2obo12b4o9bob2o22bob6o
bo6b4o4b4o4b4o4b4o5b4o96b2o2bob2ob3o$2bobo2b2ob2o11bob3obobo45bobo6b2o
8b3o9b5o7bo2bo2bo8b4o8b3o14bobobobo7b4o14b2o9b4o22bob2ob2ob2obo7bo6bo
8bo6bo8b2o96bobobo6bo$6b5o10bo5bob2o56b2o8b3o9b3o8bo2bo2bo6b2ob2ob2o5b
o3bo16bo9bob2obo14b2o9b3o25b2o2b2o11bo4bo10bo4bo10b2o96bob2o3bobo$6bo
bo3bo8b2ob4o3bo54b2o8b3o11bo9bo2bo2bo7bo4bo26bobo8bo4bo14bo11bo25b2ob
2ob2o9bo6bo6bo2bo4bo2bo7bo95bo5bo3bo$4b2o2bobobo8bob3ob3ob2o54b2o8b3o
9b3o10b3o10bo2bo27bobo7b2ob2ob2o11b2o11bobo25bob2obo12bo2bo8b2o8b2o5b
2o95bo2bobob2obo2bo$4bobobo2b2o11bob5o55b2o8b3o11bo10bobobo8bo4bo37bo
b2obo12b3o9bobo25b2o4b2o10b6o7bo2bo4bo2bo5b3o92b3o6b2ob2o$4b2o5bo13b8o
54b2o8b3o9b3o10b3o6b3o6b3o33b2o4b2o11b2o11b2o25bobo2bobo10b2o2b2o12b2o
10b2o92bo3b2obo2bo3bo$3bo3bo3bobo13bo2b2o54b2o8b3o11bo10b5o6b2ob4ob2o
65b3o23b2o8b2o9bo2bo12b4o9bo93b3ob2obob2obo$4bo2bo2bobo17b3o54b2o8b3o
9b3o10b3o8bo2b2o2bo54b2o37b2o6b2o27b2o12bo90b2o2bob3o3bo$3bo5bo3b2o16b
o54b2o8b3o11bo10b5o6b2ob4ob2o52b4o35bo10bo10b2o13bo2bo10b2o89bob2o3bo
bob2o$10bob2o73b2o8b3o9b3o10b3o8bo2b2o2bo54b2o74b2o10bob2o93bo5bo$11b
o2bo71b2o8b3o11bo10b5o6b2ob4ob2o52b4o84bo2bo88bobo2b2o$87b2o8b3o9b3o10b
3o8bo2b2o2bo142bo89bobob2obo$11bobo72b2o8b3o11bo10b5o6b2ob4ob2o141b4o
89bobobo$87b2o8b3o9b3o10b3o8bo2b2o2bo143b2o83b3o4bobo$86b2o8b3o11bo10b
5o6b2ob4ob2o142b3o82bob4o$87b2o8b3o9b3o10b3o8bo2b2o2bo144bo82bobo6b2o
$86b2o8b3o11bo10b5o6b2ob4ob2o118b2o20bobo81bo3bo2b2o2b2o$87b2o8b3o9b3o
10b3o8bo2b2o2bo119b2o21b2o81bo3bo2bobobo$86b2o8b3o11bo10b5o6b2ob4ob2o
223bo3b2ob2obo$87b2o8b3o9b3o10b3o8bo2b2o2bo117bo26b2o76bobo3b4obo$86b
2o8b3o11bo10b5o6b2ob4ob2o117b5o20bob2o75bo4b3o2b3o$87b2o8b3o9b3o10b3o
8bo2b2o2bo117bo27bo75bobob4o$86b2o8b3o11bo10b5o6b2ob4ob2o118bob2o19b2o
2bo77bo8bo$87b2o8b3o9b3o10b3o8bo2b2o2bo142b2o81b3o4bo$86bo9bobo22bobo
bo6b2ob4ob2o117bobo20bo2bo76b3ob3o2bobo$88b2o7bo11b3o10bobo8bo6bo144b
2o74b3obob2o2bo$89bo7bo11b3o20b2ob4ob2o117b4o20bobo72bo2b4ob2obo$87b2o
bo4b2ob2o9b3o21b2o4b2o119b2o23b2o69b5obo2bo2bo$96bo9bo2b3o2bo17bob6ob
o119b2o93b2ob2obobo4bo$86b2o2bo4b2obo8b7o19b2o4b2o120bo21b3o70bo2bobo
3b2o$87b4o5bo2b2o5b2ob3ob2o16b2obo4bob2o116b2o23b2o69b2o2bob2o4bo$86b
obo6b2obobo6bob3obo18bo8bo117b3o22bo67bobo4bobo$87b2o17b2ob3ob2o16b2o
b2o2b2ob2o116b2o21b2obo64b5ob3o$86bo20bo2bo2bo18bob2o2b2obo117bo23b2o
65bo4bo2bo$86b2o9b3o6bobobobobo16b2ob2o2b2ob2o118bo21bo65bo2b2obo2b2o
$85bobo8b3o9bo3bo19bo2bo2bo2bo118b2o88bo3bo2bo$88b2o9bo7bob3obo17b2ob
o4bob2o116bob2o19b2o65b6o3bo$87bo18b9o17bo2bo2bo2bo116bo2bo21b2o68bob
2o$85bo3bo17bo2bo2bo19b2o4b2o118bo22b2o70bobo$86bob4o15bo2bo2bo21bo2b
o120b4o20b2o59bo4b3o3b2o$85b2o2b2o17b2ob2o147b2o20b2o60b2o3b4obo$86bo
2b2o19bo149b3o20b2o57bobobobo5bo$261bo20b2o56b3obo2bobo2bo$258bobo22b
2o54bo2bobo2bob2ob2o$259b2o21b2o55b3o5bobo$283b2o63bobo$261b2o19b2o55b
o$145b2o8b2o8b2o3b2o6b2o3b2o75bob2o19b2o50bob3o$145b2o8b2o8b2o3b2o6b2o
3b2o77bo19b2o51bo3b2o$144bo2bo6bo2bo6bo2bobo2bo4bo2bobo2bo73b2o2bo19b
2o49bob2o2bo$145b2o8b2o21b2o3b2o74b2o21b2o54bob2o$166b2ob2o87bo2bo21b
2o47b3o3b2o$144b4o6b4o7b3ob3o5b3o3b3o75b2o19b2o51bob2o2b2o$145bobo6bo
2bo8b2ob2o7b3ob3o74bobo21b2o49bo2bobo$144bo3bo4b2obobo6bo5bo5bo7bo75b
2o19b2o52b2o2b2o$145b3o7bobo9b3o113b2o49b2o3bo$166bo3bo10bo77b3o20b2o
50bo$168bo9b7o75b2o21b2o47b2o3b2o$144b2o8b3o9b5o7bo2bo2bo75bo21b2o49b
ob3o$145b2o8b3o9b3o8bo2bo2bo73b2obo21b2o42b3obobo2bo$144b2o8b3o11bo9b
o2bo2bo74b2o21b2o43b2obob2o$145b2o8b3o9b3o10b3o76bo23b2o37bo3b3o2b3o$
144b2o8b3o11bo10bobobo98b2o39b4obob3o$145b2o8b3o9b3o10b3o75b2o23b2o34b
ob5obo3bo$144b2o8b3o11bo10b5o75b2o21b2o36bo3bo2b2obo$145b2o8b3o9b3o10b
3o75b2o25bo31b2obobo3b5o$144b2o8b3o11bo10b5o75b2o22b4o32b4o2b3o2bo$145b
2o8b3o9b3o10b3o75b2o22bobo2b2o29b2ob4obo$144b2o8b3o11bo10b5o75b2o20b2o
2b3o33bo6bo$145b2o8b3o9b3o10b3o75b2o23bobo35bo2bobo$144b2o8b3o11bo10b
5o75b2o22bo39bob2o$145b2o8b3o9b3o10b3o75b2o22bobo34b3obo$144b2o8b3o11b
o10b5o75b2o24b2o29b2o$145b2o8b3o9b3o10b3o75b2o22bo2b3o28bobo$144b2o8b
3o11bo10b5o75b2o22bob2o28bo3bo$145b2o8b3o9b3o10b3o75b2o21b2obo30bobo$
144b2o8b3o11bo10b5o75b2o21bobobo23bob2obo$145b2o8b3o9b3o10b3o75b2o25b
2o23b3obo$144b2o8b3o11bo10b5o75b2o23bo2bo21bo3bo$145b2o8b3o9b3o10b3o75b
2o24bobo19b2ob3o$144b2o8b3o11bo10b5o75b2o22b2o2bo16bobobob2o$145b2o8b
3o9b3o10b3o101bo19b2o3bo$155bo24bobo100b2obo16b2obo$282bo2b4o15bo2bo$
283b2o2bo18b2o$283b2o2b2o18bo$283bo21bo$282bo3bo!

Most known ships are orthogonal, and all of them that are known have velocities of the form ac/b where a+b is even. The wickstretchers and wickeaters can combine to form something really absurd, like this growing ship:

Code: Select all

x = 8, y = 37, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
2b2o$2b2o$bo2bo$2b2o2$b4o$2bobo$bo3bo$2b3o3$b2o$2b2o$b2o$4bo$2b4o$bob
o2b2o$2o2b3o$2bobo$2bo$bobo$4b2o$bo2b3o$2bob2o$2obo$bobobo$4b2o$3bo2b
o$3bobo$2b2o2bo$3bo$2b2obo$bo2b4o$2b2o2bo$2b2o2b2o$2bo$bo3bo!

Finally, all width-4 c/3o ships fall in two homologous series:

Code: Select all

x = 63, y = 21, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
b2o6b2o6b2o6b2o9b2o6b2o6b2o6b2o$4o4b4o4b4o4b4o7b4o4b4o4b4o4b4o3$8bo2b
o4bo2bo4bo2bo7bo7bo2bo4bo2bo4bo2bo$9b2o6b2o6b2o9b3o5b2o6b2o6b2o$8bo2b
o4bo2bo4bo2bo7bobo5bo2bo4bo2bo4bo2bo$9b2o6b2o6b2o9b2o6b2o6b2o6b2o2$16b
4o4b4o15b3o5b4o4b4o$17b2o6b2o17b3o5b2o6b2o$17b2o6b2o16bo8b2o6b2o2$25b
2o25b2o6b2o$24b4o23b3o5b4o$54bo$52bo$59bo$60b3o$59bobo$60b2o!

TODO:
- find more periods (especially even periods and more adjustable oscs)
- find more speeds (most likely being 2c/8o, 2c/10o, c/7o, 3c/7o)
- develop technology using signals or the small c/3o

[eRroR_6o6]

Found this p4 manually:

Code: Select all

x = 13, y = 12, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
2$4b2ob2o$5b3o$2bo2bobo2bo$2b3obob3o$3bob3obo$2b3obob3o$2bo2bobo2bo$5b
3o$4b2ob2o!

p10s:

Code: Select all

x = 23, y = 11, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4bobo10bo$5bo11bo$2bo2bo2bo5bo2bo2bo$3b2ob2o7b2ob2o$o2bobobo2bobo2bobo
bo2bo$b2ob3ob2o3b2ob3ob2o$o2bobobo2bobo2bobobo2bo$3b2ob2o7b2ob2o$2bo2b
o2bo5bo2bo2bo$5bo11bo$5bo11bo!

And a p8:

Code: Select all

x = 19, y = 20, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
$7bobo$7b3o$7b3o$6bobobo$7b3o$7b3o$3bo3bobo3bo$3ob3obob3ob3o$b5obobob
5o$3ob3obob3ob3o$3bo3bobo3bo$7b3o$7b3o$6bobobo$7b3o$7b3o$7bobo!

A blinker can slow down the spaceship:

Code: Select all

x = 11, y = 4, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
o$2o6b3o$2o$o!

[hibiscus]

(Sorry for the small necropost)
c/7o:

Code: Select all

x = 11, y = 12, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
3b5o$2b7o$bo3bo3bo$b3obob3o$5bo$bo3bo3bo$2b7o$b2ob3ob2o$b2ob3ob
2o$obo5bobo$bo7bo$2o2bobo2b2o!

[tommyaweosme]

p6 made of crashing toad and spaceship:

Code: Select all

x = 17, y = 4, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
o$2o12b3o$2o11b3o$o!

p8 made of crashing block and spaceship:

Code: Select all

x = 19, y = 4, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
o$2o15b2o$2o15b2o$o!

edit: small p4 found in soup:

Code: Select all

x = 8, y = 8, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
$3bo$b2ob2o$bo2bo$2ob2o$2bo!

[H. H. P. M. P. Cole]

p6 made of crashing toad and spaceship:

Code: Select all

x = 17, y = 4, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
o$2o12b3o$2o11b3o$o!

p8 made of crashing block and spaceship:

Code: Select all

x = 19, y = 4, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
o$2o15b2o$2o15b2o$o!

edit: small p4 found in soup:

Code: Select all

x = 8, y = 8, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
$3bo$b2ob2o$bo2bo$2ob2o$2bo!

All are known.

c/4o, 2c/8o, two c/9os from qfind (the even-symmetric c/9 is endemic):

Code: Select all

x = 67, y = 119, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
3bob4obo11b2o21bo13bo2bo$4b6o10b2o2b2o17bobobo11bo2bo$b2o8b2o8bo2bo16b
o2bobo2bo8b2o2b2o$b3ob4ob3o6bo2b2o2bo15bo5bo9bob2obo$2o10b2o5bobo2bob
o13b4o3b4o6b3o2b3o$obo2b4o2bobo4b3o4b3o13b3o3b3o8bo4bo$3o2b4o2b3o6bo4b
o14bo2bo3bo2bo7bo4bo$3bobo2bobo11b2o18bobobobo$2b2o6b2o10b2o16bo2bobo
bo2bo$4bo4bo11bo2bo18bobobo9b8o$20bo4bo16bo2bo2bo8bo2b2o2bo$19b8o14bo
bobobobo8bob2obo$20b6o14bobo2bo2bobo6bo6bo$41b3obob3o7bo6bo$20b6o15b2o
2bo2b2o6bo2bo2bo2bo$18b3ob2ob3o14bo5bo6b2obob2obob2o$19bo6bo17bobo9b2o
2b2o2b2o$19bob4obo17bobo$20bo4bo18bobo10bob4obo$19b8o29b3ob2ob3o$19bo
6bo32bo2bo$18b4o2b4o28b2ob4ob2o$19bobo2bobo31b2o2b2o$19bobo2bobo33b2o
$18bo8bo31b4o$16b2ob2o4b2ob2o26b3o4b3o$17bo3b4o3bo$17bobo6bobo29bob2o
bo$21bo2bo33b2o2b2o$19b8o33b2o$20bo4bo32bo4bo$17b2obob2obob2o28bo6bo$
18bo3b2o3bo29b2o4b2o$17bobo6bobo27bo2bo2bo2bo$21bo2bo32bo6bo$17b2o2b4o
2b2o27bo2b4o2bo$19bob4obo33b2o$19bo6bo33b2o$20bob2obo34b2o$19b2o4b2o33b
2o$20b6o30b2obo2bob2o$19b2o4b2o29bo2bo2bo2bo$21b4o32bobo2bobo$56b2ob4o
b2o$57b2o4b2o$57bo2b2o2bo$58bo4bo$58b2o2b2o$60b2o2$59b4o$60b2o$59bo2b
o$58bob2obo$57b2ob2ob2o$56b2o2b2o2b2o$58bob2obo3$58b2o2b2o$57b2o4b2o2$
60b2o$60b2o$60b2o$57bo6bo$59bo2bo$57b2ob2ob2o$58b2o2b2o$58bo4bo$56b4o
2b4o$56bob6obo$55b3o2b2o2b3o$56bobob2obobo$55b4ob2ob4o$56bo8bo$55b4o4b
4o2$55bo2b6o2bo$56bobo4bobo$55b2obob2obob2o$56bob2o2b2obo$55b2o2bo2bo
2b2o$56b2o6b2o$57bo6bo$56b2obo2bob2o$56bob2o2b2obo$55b2ob6ob2o$56bo3b
2o3bo$55b4o4b4o$56bob2o2b2obo$55b3o6b3o$58bob2obo$56b2ob4ob2o$56b2o6b
2o2$59bo2bo$59b4o$59b4o2$60b2o$58bob2obo$56b3o4b3o2$56bo2bo2bo2bo$57b
ob4obo$55b2obo4bob2o$56bo2bo2bo2bo$55bo10bo$56bob2o2b2obo$55bo10bo$57b
o6bo$57b3o2b3o$58b6o$59b4o$58b6o$57bo6bo2$58b2o2b2o!

EDIT: even-symmetric c/7o:

Code: Select all

x = 12, y = 77, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4b4o$2b8o$3b6o$3bo4bo$5b2o$5b2o$3b2o2b2o$2bob4obo$bobob2obobo$2o
3b2o3b2o$5b2o$3bob2obo$5b2o2$4b4o$2obo4bob2o$b2o2b2o2b2o$2obob2o
bob2o$2b2o4b2o$b3ob2ob3o$bob6obo$2o8b2o$b4o2b4o$b2obo2bob2o$3bo4b
o$2bob4obo$bo2bo2bo2bo$2bo6bo$bo2b4o2bo$o3bo2bo3bo$b3ob2ob3o$4bo
2bo$3b2o2b2o$2bo6bo$2bo6bo$3bob2obo$2bo2b2o2bo$4bo2bo$2bobo2bobo
$5b2o$3bo4bo2$3b6o$4b4o2$4bo2bo$3b2o2b2o$4bo2bo$4bo2bo2$4b4o$4b4o
$3bob2obo$4b4o$bobob2obobo$2b3o2b3o$o10bo$bo2bo2bo2bo$bo2bo2bo2b
o$4bo2bo$3b2o2b2o$3bob2obo$2bob4obo$3bo4bo$2b2o4b2o$3b2o2b2o$3bo
4bo3$5b2o$b2o2b2o2b2o$b4o2b4o$o3b4o3bo$bo8bo$o3bo2bo3bo$4b4o$5b2o
!

odd-symmetric 2c/8o:

Code: Select all

x = 13, y = 103, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4b5o$4b2ob2o$4bo3bo$3bo5bo$2o2b5o2b2o$bo2bobobo2bo$2bob2ob2obo$
b2ob2ob2ob2o$3b2o3b2o$bob2o3b2obo$3bo5bo$2b2o5b2o$3bo5bo$2bobo3b
obo$2b2obobob2o$2b2obobob2o$bo2bo3bo2bo$ob2o5b2obo$bo2b2ob2o2bo$
3bo2bo2bo$2bob5obo$3bob3obo$3b7o$5bobo3$2b9o$2bobobobobo$b2obobo
bob2o$2bo2b3o2bo$2bo3bo3bo$5b3o$4b2ob2o$4b2ob2o$3bob3obo$3bo2bo2b
o$2b2ob3ob2o$5b3o$2bo3bo3bo$2bobobobobo$b2obo3bob2o$2bo3bo3bo$4b
o3bo$4bo3bo3$2b4ob4o$2bobobobobo$2b3obob3o$bo4bo4bo$bobob3obobo$
o2bobobobo2bo$5b3o$3b2obob2o$2b2o5b2o$2bobobobobo$bo3b3o3bo$3b7o
$bo3bobo3bo$4b5o$2b3obob3o$2bob5obo$3b2obob2o$6bo$3b2obob2o$4b5o
$3bo2bo2bo$4bobobo$2b3obob3o$2b2o5b2o$2bo2bobo2bo$2bobo3bobo$4bo
3bo$2b3o3b3o$2b2obobob2o$bob3ob3obo$3bo5bo2$6bo$2bo2b3o2bo$b4o3b
4o$2b2obobob2o2$bo9bo$2o3b3o3b2o$bo2bobobo2bo$ob2o2bo2b2obo$2b3o
bob3o$5bobo2$6bo$4b2ob2o$5bobo$3b2o3b2o$4b5o$3bob3obo$4bo3bo$2bo
bo3bobo$b3obobob3o$bo2bo3bo2bo$o3bo3bo3bo$b2o2bobo2b2o$bobo5bobo
!

odd-symmetric c/4o:

Code: Select all

x = 19, y = 40, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
8b3o$7b5o$5b2o2bo2b2o$5b2obobob2o$6bobobobo$4b2ob2ob2ob2o$3bo11b
o$3bo11bo$4b4o3b4o$6bobobobo$b4ob3ob3ob4o$b2o2b2obobob2o2b2o$5b3o
3b3o$4bob3ob3obo$2b3o2b5o2b3o$9bo$2b4o3bo3b4o$2b2o5bo5b2o$4b2o3b
o3b2o$3bobobobobobobo$3b3obobobob3o$4bob7obo$b3o2bo2bo2bo2b3o$b4o
bob3obob4o$b3o4b3o4b3o$4b4obob4o$bob2obo5bob2obo$bo2b5ob5o2bo$o3b
o9bo3bo$b2ob3o5b3ob2o$2bobobo5bobobo$6bo5bo$5b3o3b3o$4bob2o3b2ob
o$7bo3bo$4b4o3b4o$5b3o3b3o$3bo2bo5bo2bo$5b3o3b3o$5bo7bo!

3c/9o ships (odd and even-symmetric):

Code: Select all

x = 28, y = 29, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
b2o3b2o9b2o6b2o$b2o3b2o8b4o4b4o$o2bobo2bo$b2o3b2o$16bo10bo$3o3b3o8b3o
4b3o$b3ob3o8bo2bo4bo2bo$o7bo8bo3b2o3bo$18bo6bo$2b2ob2o11bobo2bobo$2bo
bobo12bob2obo$3b3o11b3o4b3o$o2b3o2bo9bobo2bobo$b7o12b4o$2ob3ob2o8b3o4b
3o$bob3obo9bobob2obobo$2ob3ob2o7bo4b2o4bo$bo2bo2bo9b2obo2bob2o$obobob
obo12b2o$2bo3bo9b3o6b3o$bob3obo9b2o6b2o$9o7bo10bo$bo2bo2bo9b2o6b2o$3o
3b3o8b3o4b3o$bob3obo$2o5b2o7b4o4b4o$3bobo11b2o6b2o$b7o8b3o6b3o$2bo3bo
!

c/4d, found with rlifesrc:

Code: Select all

x = 18, y = 17, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
7b2o2b2o$5b3ob3o$5b2ob4obo$3bo2b2o4b3o$2b2o2bo3bob2obo$2b3o3bo4bobo$3b
obob2ob2ob2obo$2ob4o3b2o5bo$2o6bo2bo3bo$2o2bo3bo5bobo$2o2bob2o2b2o$2b
obo2b3obo$5bo$4bobo$4b2ob3o$6bo2bo$7b3o!

2c/10o

Code: Select all

x = 12, y = 64, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4b4o$2b8o$2bo2b2o2bo$b2obo2bob2o2$bo2bo2bo2bo$2b2ob2ob2o$bobob2obobo$
2bo2b2o2bo$3bob2obo$2bobo2bobo$3bo4bo$2bobo2bobo$2b2ob2ob2o$3b6o$o2b2o
2b2o2bo$b2o2b2o2b2o$2o3b2o3b2o$b4o2b4o$4o4b4o3$3bob2obo$5b2o$3b2o2b2o
$3bob2obo$2bo2b2o2bo$3bo4bo$2bobo2bobo2$2bob4obo$3bo4bo$2b3o2b3o$4bo2b
o$b3o4b3o$b2o6b2o$o2bo4bo2bo$3b2o2b2o$bo8bo$4b4o4$4b4o$5b2o$4bo2bo$3b
o4bo$3b2o2b2o$2b2ob2ob2o2$b3o4b3o$2bo6bo$5b2o$3bo4bo2$4bo2bo$5b2o$3b2o
2b2o$b2ob4ob2o$5b2o$b2obo2bob2o$2b8o$b2ob4ob2o$3bob2obo!

p20 backrake:

Code: Select all

x = 12, y = 58, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4b4o$2b8o$2bo2b2o2bo$b2obo2bob2o2$bo2bo2bo2bo$2b2ob2ob2o$bobob2obobo$
2bo2b2o2bo$3bob2obo$2bobo2bobo$3bo4bo$2bobo2bobo$2b2ob2ob2o$3b6o$o2b2o
2b2o2bo$b2o2b2o2b2o$2o3b2o3b2o$b4o2b4o$4o4b4o3$3bob2obo$5b2o$3b2o2b2o
$3bob2obo$2bo2b2o2bo$3bo4bo$2bobo2bobo2$2bob4obo$3bo4bo$2b3o2b3o$4bo2b
o$b3o4b3o$b2o6b2o$o2bo4bo2bo$3b2o2b2o$bo8bo$4b4o4$4b4o$5b2o$4bo2bo$3b
o4bo$3b2o2b2o$2b2ob2ob2o2$b3o4b3o$2bo6bo$5b2o$3bo4bo$4b4o2$5b2o$5b2o!

EDIT2: smaller-width even-symmetric c/5 ship (w12 instead of w14)

Code: Select all

x = 12, y = 46, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
5b2o$3b2o2b2o$4bo2bo$bo2bo2bo2bo$3bob2obo$b3o4b3o$2b2ob2ob2o$b3o
b2ob3o$3bo4bo$2b2o4b2o$2b2ob2ob2o$4b4o$2b3o2b3o$2bob4obo$2bo6bo$
2bo6bo$bobo4bobo$4ob2ob4o$bo3b2o3bo$o2b6o2bo$bob2o2b2obo$b2o6b2o
2$4b4o$3bob2obo$4bo2bo$2b2ob2ob2o$3bob2obo$2b8o$3bo4bo$4bo2bo$3b
ob2obo$2b2o4b2o$3b2o2b2o$bo2bo2bo2bo$b3o4b3o$2obo4bob2o$bob2o2b2o
bo$2bo6bo$3bo4bo$5b2o$5b2o2$5b2o$5b2o$4bo2bo!

smaller-width even-symmetric 2c/6 ship (w10)

Code: Select all

x = 10, y = 16, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4o2b4o$b2o4b2o$o2bo2bo2bo$o2bo2bo2bo$bo2b2o2bo$2ob4ob2o2$2b2o2b2o$bob
o2bobo2$bo2b2o2bo$3b4o$bo2b2o2bo$2bob2obo$b2o4b2o$2b2o2b2o!

So far we have:

c/3, c/4, 2c/4, c/5, 2c/6, c/7, 2c/8, c/9, 3c/9, 2c/10 orthogonal,
c/4, c/5 diagonal.

(Yes, I installed qfind a few days ago. Don't ask.)

[tommyaweosme]

i spent over 34k seconds on rlifesrc to find a p9. it just wont happen!

[confocaloid]

The c/3o spaceship xq3_65e1wf6 (previously known, already listed in the first post) just appeared in the 8x32 census:

Code: Select all

#C https://catagolue.hatsya.com/object/xq3_65e1wf6/b34ar5ins2i3-i4-nwz5ceny6cei7e8
#C https://catagolue.hatsya.com/attribute/xq3_65e1wf6/b34ar5ins2i3-i4-nwz5ceny6cei7e8/8x32
#C Soup k_SYP3tfzQ3pPp4485143 was found on 2024-06-03 at 16:14:23 UTC and is owned by Anonymous
x = 32, y = 8, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
obbbbboooboboooobbooobboobboobob$
boboooobbbboboobooboboooobbobobo$
obooboooooooobbbbobboobboobobobo$
bobbbobbboooooobobbbbobobbbbbooo$
oobooboobooobbobbbooobooboobooob$
oobbbobooobbobbobboooboboboboooo$
boboooooboobobboobooobooooobobob$
ooobobobbbbbbobobbbboobbbbbbbobo!

added 1: oscillators (p16, p18) from the C2_1 census

Code: Select all

x = 22, y = 11, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
3bo$b3o13bo$2b3o11b3o$5bo10b3o$b5o7bo3bo3bo$2o3b2o7b3ob3o$b5o7bo3bo3bo
$bo14b3o$2b3o11b3o$3b3o11bo$3bo!

[hibiscus]

Longest partials for a bunch of spaceship speeds I've been searching for:
c/6o

Code: Select all

x = 16, y = 44, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
6bo2bo$4b3o2b3o$3b2ob4ob2o$3b2o6b2o$3bob2o2b2obo$4bo6bo$3bob6ob
o$4bob4obo$4bo2b2o2bo$2b3ob4ob3o$2o2bo6bo2b2o$4bo6bo$2o2b2ob2ob2o
2b2o$4b2ob2ob2o$2bo4b2o4bo$6bo2bo$4bo2b2o2bo$4b2o4b2o$5bo4bo2$4b
obo2bobo$5b2o2b2o$5bo4bo$5b6o$4bo2b2o2bo$2bo2b6o2bo$3b2ob4ob2o$3b
obo4bobo$4bo6bo$2b3o2b2o2b3o$bo12bo$bob2o6b2obo$o2bobob2obobo2bo
$2bobob4obobo$2ob3o4b3ob2o$2b2obob2obob2o$bob3o4b3obo$o2bo2bo2bo
2bo2bo$b2o2b2o2b2o2b2o$3bob2o2b2obo$bo5b2o5bo$7o2b7o$3b4o2b4o$7b
2o!

2c/7o

Code: Select all

x = 18, y = 134, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
8b2o$8b2o$7bo2bo$4b2o6b2o$2b3o2bo2bo2b3o$3bo3bo2bo3bo$bobobob4o
bobobo$6bob2obo$2b2o2b2o2b2o2b2o$3b3o2b2o2b3o$5bob4obo$4b4o2b4o$
3b2ob6ob2o$4bobo4bobo$3obobo4bobob3o$2b3ob2o2b2ob3o$2ob3ob4ob3ob
2o$2b2o2bo4bo2b2o$2bo2bob4obo2bo$5b2o4b2o$7b4o$5bo6bo$4bo8bo$4bo
bob2obobo$5bo2b2o2bo$5b3o2b3o2$5b8o2$5b3o2b3o$5bo6bo$6bo4bo$7b4o
$6b2o2b2o$2b2ob8ob2o$b4o8b4o$b3o2bo4bo2b3o2$7bo2bo$5b2ob2ob2o$4b
3o4b3o$2bobo3b2o3bobo$o2b2o3b2o3b2o2bo$bobo2bo4bo2bobo$2bob4o2b4o
bo$2b2obob4obob2o$2bobobo4bobobo$bobo10bobo$o4bob4obo4bo$bo6b2o6b
o$bob4o4b4obo$2bo3bo4bo3bo$3bob2ob2ob2obo$3bob8obo$5bo6bo$6b2o2b
2o$6b6o2$6b6o$5bobo2bobo$5b2ob2ob2o$3b5o2b5o$4bo8bo$4bob6obo$6b6o
$2b3o2bo2bo2b3o$b2o2b8o2b2o$3bob8obo$2bo5b2o5bo$4bob6obo$5b2ob2o
b2o$5bobo2bobo$2bo2bo6bo2bo$2b2o2b2o2b2o2b2o$b4o2b4o2b4o$b2o12b2o
$b2obob6obob2o$4bobo4bobo$bo2bobob2obobo2bo$2bo2bobo2bobo2bo$bob
ob8obobo$5bob4obo$7bo2bo$5bo6bo$4bo2bo2bo2bo$6bob2obo$5b2ob2ob2o
$5b2o4b2o$5b2ob2ob2o$4bob6obo$3b2o8b2o$3b2ob2o2b2ob2o$6bo4bo$5bo
b4obo$5bo6bo$3bobo6bobo$4b2o6b2o$4bobo4bobo$5bo6bo$6b6o$5b2o4b2o
$4b2o6b2o$4b2o6b2o$3b2o3b2o3b2o$3bob2ob2ob2obo$2b3obo4bob3o$6bo4b
o$4bobo4bobo$3b2o8b2o$5bobo2bobo$6bo4bo$6bo4bo$5b3o2b3o$8b2o$8b2o
$3b4o4b4o$3b3ob4ob3o$2b3o8b3o$2b2o4b2o4b2o$2b4o6b4o$2b2o3bo2bo3b
2o$4bobo4bobo$2b2o2bob2obo2b2o$3o3bob2obo3b3o$bo4bo4bo4bo$2o5b4o
5b2o$b3ob2o4b2ob3o$b2o4b4o4b2o$2b2o2bo4bo2b2o$bob5o2b5obo$4o10b4o
$3bo10bo$2bob10obo$6b6o!

[DroneBetter]

I have expanded Cole's table for this rule in User:H. H. P. M. P. Cole/qfind results to include a gutter-symmetric column and distinguish strictness, and found some more things

new entries of existing speed/period: c/3 strict w9o and w9g, 2c/6 w11g, 3c/9 w6a, c/5 strict w13o, 2c/10 w6a and w13g, c/7 w8o and w15g

Code: Select all

x = 103, y = 54, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4ob4ob4ob4o2b4ob4o4b4o3b6ob6o3b4o4b4o3b4o4b4o5b4o5b4o$b2o3b2o3b2o3b2o4b2o3b2o6b2o5b2ob2ob2ob2o3bo2bo4bo2bo5bo2bo3bobo5b2o3b2ob2o3b2o$o2bobo2bobo2bobo2bo3b2o3b2o6b2o4bo2b3ob3o2bo3bo3bo3bo3bobo3bo3b2obobo5bo3bobo3bo$bobobobo3bobobobo25bo7bo4b5o3b5o3b5o3bo2bo6bob2o3b2obo$2b2ob2o5b2ob2o5b2o3b2o4bo10bobobobo6bo3bo7bobo8bobo11bobo$b3ob3o3b3ob3o2b5ob5o3b5o3b2ob2ob2ob2o6b2o4bobobobobobo8b2o4b4o3b4o$2bo3bo14bo2bobo2bo3bo10bo2bo2bo7bo2bo4bobo3bobo9bo7bo5bo$2b5o4bo5bo2bo2b2ob2o2bo3bob2o9bo10bobo7b2ob2o11b2o3b2o9b2o$12b2ob2o4bobo3bobo5b2o9b3o8bo11bobo12bo5b2o7b2o$3b3o5bobobobo4bobobobo5bobo10bo10b2o21bobo5bobo7bobo$13bobo8bobo16b3obob3o5bob2o7b2ob2o7b3obo5b2o7b2o$11bobobobo3b3o3b3o4b4o5bobo3bobo7bo8bo3bo9bobo7bo5bo$11b3ob3o4bobobobo6b2o5b2o2bobo2b2o5bo7b4ob4o6b2o7b2o7b2o$13bobo5bo2bobo2bo4bo8bo7bo6bo8bo5bo7bo9b2o5b2o$22b3ob3o6b2o20b4o5b2obobob2o5b2o8bobo5bobo$24bobo7b2obo19bo11bobo7b2ob2o5b2ob3ob3ob2o$35b2o21bo8bobobobo6bob3o5bo2bo3bo2bo$35bo28bo2bobobobo2bo2b2o5bo2b2obobobobob2o$57b2o5b4o5b4o4bo3bo4bob2o3b2obo$56b4o5bo9bo4bob2ob2o2b2obo5bob2o$68b2ob2o12bo4bo2b2ob2o2bo$56b4o9bobo7b3o3bo3b5o3b5o$57bobo5b5ob5o4bobo7bobobobobobo$57b4o5bo7bo4bob2o6b2ob2o3b2ob2o$65b2o2bobo2b2o14bobobobobobo$80b2o7b2o2bo3bo2b2o$65bobo5bobo6b3o5bo3bobo3bo$57b4o4bo9bo4b2o7b2ob2o3b2ob2o$58b2o4b4o5b4o4bob3o4bobo5bobo$57bo2bo19bob2o5b2o9b2o$58b2o4b3o7b3o4bo2bo5bob2o3b2obo$57b2o6b3o5b3o4b2o7b2ob2o3b2ob2o$57bobo4b6ob6o6b3o4bo2b2ob2o2bo$57b4o5b4ob4o8b2o4b2ob2o3b2ob2o$58b2o8bo3bo17bobobobobobo$83bo5b2ob2o3b2ob2o$84bo5bo2bo3bo2bo$58b3o28b3o7b3o$57b4o$58b4o$60bo$58b2o$58b3o$58bob2o$60bo$56b3ob2o$57b4o$56bo2bobo$59bo$57b2ob2o2$57b3o$58b2o$57b3o!

and last but not least, for c/6, the only symmetry with a spaceship at logical width 9 is w17o

Code: Select all

x = 17, y = 39, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
5b7o$2bob3obob3obo$2b3o3bo3b3o$bo3b7o3bo$2b2o2b5o2b2o$3b2obo3bob2o$3bob2obob2obo$bo2b2obobob2o2bo$b5o5b5o$b2o2bo5bo2b2o$4b2o5b2o$4b2o5b2o$3bo2bo3bo2bo$3b3o5b3o$6o2bo2b6o$7bobo$2obo2b5o2bob2o$2b2o3bobo3b2o$3b3ob3ob3o$3b2o3bo3b2o$4bo3bo3bo$3b2obobobob2o$4bo3bo3bo$4bo3bo3bo$4b2ob3ob2o$3b2o7b2o$4b2ob3ob2o$3bobob3obobo$4b2o2bo2b2o$4b2o2bo2b2o$5bob3obo$4b2o2bo2b2o$8bo$6b2ob2o2$7bobo$7bobo$6b5o$7bobo!

very soulful and enthralling

B34ar5inS2i3-i4-nwz5ceny6cei7e8_1c6_w17o.png (5.94 KiB) Viewed 2316 times

all of these (and many significant negative result strengthenings on the page) were found with qfind on my 8-year-old laptop with 8GB of RAM (I will come back to it with my more powerful computers eventually), perhaps Cole should check that qfind is being allocated a nonnegligible proportion of system resources?

[hibiscus]

An unsorted collection of c/3o spaceship syntheses:

Code: Select all

x = 409, y = 93, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
303b2o$302bo2bo$303b2o$303b2o7$405b2o$404bo2bo$405b2o$405b2o5$406b2o$
406b2o$359bo45b4o$357b2obo$357b2obo$359bo2$90b2o$89bo2bo$90b2o243bo$
90b2o241b3o$333b3o$335bo$137b4o$113b4o21b2o$114b2o$303b2o$171b4o27b4o
23b4o31b4o34bo2bo41b2o$18b2o18b2o49b2o25b2o20b2o23bo8b2o21bo7b2o17bo7b
2o25bo7b2o36b2o41b4o$4o14b2o17bo2bo47bo2bo23bo2bo18bo2bo22b2o30b2o25b
2o31b3o45b2o$b2o14b4o17b2o23b2o24b2o25b2o20b2o23b2o30b2o25b2o13bo17b3o
14bo$38b2o22bo2bo23b2o25b2o20b2o23bo31bo26bo13b2o19bo13b2o$63b2o171b2o
33b2o$63b2o172bo34bo68b2o36bo$341b2o35bob2o$93b2o25b2o20b2o28b2o29b2o
25b2o33b2o36b2o35bo2bo34bob2o$92b4o23b4o18b4o26b4o27b4o23b4o31b4o34b4o
35b2o36bo$b2o15b2o18b2o27b2o$4o13b4o16b4o25b4o44$302b4o$303b2o$303b2o!

[H. H. P. M. P. Cole]

c/7d, found using rlifesrc, diagonal width 10.

Code: Select all

x = 49, y = 49, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
6bo$4b2obo$4bo2b2o$4b2obo$b3obobo2bo$bob2obob2obo$o4bobo3b2o$b4obobo2b
o$2bo2bobob2obo$5bo2bo2bo4bo$4bo3bo2bo2b3obo$5b3ob2ob2ob4o$6bobo2bobo
b2o2bo$11b2obo3bo$10bo2bo2bo4bo$10b3o3bo2b2obo$9b4ob2ob3obobo$11bo4bo
b3o2b2o$10b2obo2b2obobo3bo$12bo2b4o4b3o$15bobo4bobo2bo$14bobobo3b3o3b
2o$15bo4b2obo2b2obo$16b2obob2obobobobo$17bob3obobo4b2o$18b2o4bob2o3bo
$22b2obo$20bobo2bo3b4o$21bobo5b3o$21b2o4b2o$23b2o2b2o6b2o$24b2ob2o4b2o
b4o$27bo5bo3b3o$31b2ob2o4bo$31bobo2b3obo$30bo2bo3b3o2bo$30b2o2bo2b3ob
o$31b2ob3obobob3o$31b2ob4o7b2o$31b2o2b2o7b5o$33b2o2bo7bobo$36bo8bobo$
35bobo$37bo$37bobo$38b4o$38b2o$39b3o$39bo!

EDIT: p17

Code: Select all

x = 21, y = 21, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
9bobo$10bo$8bobobo$9b3o2$9b3o$9b3o$10bo$2bo6b3o6bo$o2bob2obobobob2obo
2bo$b3ob5ob5ob3o$o2bob2obobobob2obo2bo$2bo6b3o6bo$10bo$9b3o$9b3o2$9b3o
$8bobobo$10bo$9bobo!

[confocaloid]

Partial for a diagonal c/6 spaceship, ikpx2

Code: Select all

#C depth = 375
#C breadth = 17
#CLL state-numbering golly
x = 74, y = 74, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
6bo$4b2ob2o$4bo4b2o$4bo5bo$b3ob2o2b2o$bo2bo5bo2bo$o3bo2b2o3bob2o$b
o4bobo4bo$bo4b2ob3o3bo$2bobo3bob4obobo$2b4o2b2o2bobob2o$8b2o6b2o$
6bo2b2o4b2obobo$5bobobo5bob3ob2o$6bo3bo4b2ob2o2bo$6bob2o2b3obobo2b
ob2o$10b3ob2ob2o2b6o$9b3obo2bo4bob3o$12b5o7bo2bo$13b2o11bo$12bo11b
2ob2o$13bob3o8b3obo$13b2obo9bo2bob2o$15b3o9b2o$15b4obo9bo$16b2o2bo
5b2ob2o$16bo2bob2o2bobo2b2o$18bob2obob2ob2obo$20b2obo3bob2ob2o$22b
o2bob2o2bob2o$21bo2b3obo2b2o$22bo3b2ob2o3b3o$22bo5bobo3b2o$28b2o4b
3o2bo$29bob3o4bobo$31b3o3bo2bo$31bobo4bo3bo$35bo3bobo$34bobo3bo2bo
$33bo3bo4b2o$34b2o2bo2b2obo2b2o$37bo2bob3o3bo$36bo2b3ob3o3bo$38b2o
b2ob2obo$40b4o2bob2o$42b2o5b2obo$44bo5bo2bo$40bo2bo6bo2bo$40b2o2bo
6bobo$42bob2o6b4o$45b3o7b3o$48bo4bo3bo$45bo3bo3b2o3bo$46b4ob2obo5b
o$49bo2b2o3bobo$49b2o4b3o2bo$50bo4b2obo$50b2o2b2obo2bo$52bo3bobobo
$54bo4b2obo$53bobob3o3bob2o$63b2obo$59bo4b2obo$60b2o2b2ob5o$61b3ob
ob2o4bo$60bob3obo3bo2bo$60b2o3b3o3b2o$62b3ob2o2bo$63b2o3bobo$63bo$
63bobob2o$63bo2bo$66bo$64b2o!

[DroneBetter]

collection of 2c/4's; Cole's original, gutter-preserving and odd glide, and even symmetric/glide, all minimal-width (per both qfind and rlifesrc)

Code: Select all

x = 123, y = 26, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
86b4o21b2o$84b3o2b3o17b6o$5b4o14b4o7b4o14b4o9b4o14b2o2b2o2b2o14b2ob2obob2o$4b2obob2o10b2obob2o5b2obob2o10b2obob2o7b2obob2o10b2obob4obob2o10b2obo3bo2bob2o$2b2obo3bobo8bobo3bob2ob2obo3bobo8bobo3bob2o3b2obo3bobo8bobo10bobo8bobob2o5bobobo$bobo2bobo2b2o6b2o2bobo2b2ob2o2bobo2b2o6b2o2bobo2b4ob2o2bobo2b2o6b2o2b4o2b4o2b2o6b2obobo4bo3bob2o$o3b2o5b2o6b2o8bobo8b2o6b2o7bob2o10b3o5b2o14b2o6b2obobo10b3o$bobo6b2obo4bob2o7bobo7b2obo4bob2o5bobob2obo9b2o3bob2o3bob2obo3b2obo4bob2o9bobobob2o$2obobo4bo2b2o2b2o2bo17bo2b2o2b2o2bo6b4obobo6bobo3b2o2bo5b2o5bo2b2o2b2obo2bo10bo2bo$bo2bo8bo4bo9b2ob2o9bo4bo8b2o2bo9b2ob2o3bo7bo2bo7bo4bob3o9bo2bob2o$2ob3o4b2ob2o2b2ob2o5b3ob3o5b2ob2o2b2ob2o5bo2b2o3b2o7bo3b2ob2o4b4o4b2ob2o2b2o2bo11b3obo$bob2o7bo5bo9b2ob2o9bo5bo7bob4obo6bo2b2o4bo16bo5bob4o7b2ob2ob2o$2o3b2o2bob2o4b2obob2ob4o3b4ob2obob2o4b2o8b4obo17b2o3bo2bo3b2o6b2o2b5o5b2ob2obo$7b4o7bo2bob2ob2obobob2ob2obo2bo9bo3bobo7bo2b3o11b2o2b2o2b2o9bo12b2ob3obo$8bo2b2o4b2obo2bobo2bo3bo2bobo2bob2o4b2ob8o2b3ob7o9b2ob3o2b3ob2o8bo4b2o6bob2obo$5b2obob3o5bob3ob6ob6ob3obo5b5obobo2bo3bo2bobobo10bob2obo2bob2obo7bo4bo12b3o$4b2o2bobo6b2o4bobo2bo3bo2bobo4b2o6bobobobobo3bo3bobo3b2o7b2o3bo2bo3b2o6b3o$4b3obo4bo4bob3obo3b2ob2o3bob3obo5bo2b2ob2o7b2o3bo2bo8bobo10bobo6bo17b3o$5bobo2bobo4bob4obobo7bobob4obo8bo4bo6b3ob2o12bobo6bobo27bo$2b2o3bob2o2bo4bo3bo2bo9bo2bo3bo8b2o2b3o9bo14bo2bo4bo2bo8bo$4bo2bo2bo2bo3bo2b2o17b2o2bo12bo7b2o17bo8bo$9b6o3bo23bo21bo$12b2o3b2obo19bob2o$11bo2bo6bo17bo$12bo$12bo!

smallest of the minimal-bounding-box (52×52, by rlifesrc's metric) w21s c/6d's

Code: Select all

x = 51, y = 51, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
3b2o$2b2ob3o$bo3bob3obo$2o5b3o$o4b2ob3obo$b2obobob6o$bo2b2obo2b5o$b3o2bobo4bobo$2b4obo2b3obo$2b4o6bo2bo$4b3obo3bob4o$2bo2b2obo5bo4b2o$4b3ob3o4b3o2bo$5b3o6b2obobobo$6bobob2obo5b4o$7bob2ob2o6bobobo$10bobo6bo4b2o$10bob2o9b2o$23b5o$11bob2obo9bobo$11b2ob2o11b2o$13b2o12bobo$14b2o10bob2o$17b2o$15b4o6b2o$16bobo5bob2obob2o$18b2o2bob2ob2obo2bo$18bob2o3b2ob2ob4o$19b2obo3b2o2bo3bo$21b2o2bobo2bo3bo$26bob2ob2ob2ob2o$25bobo2bo2b2ob3o$25bobo2bo2b2ob2o$26b2o3b2obo2bo2bo$27b7ob2o2bo$30bo3bo2bobo$31b2obo2b2o4bo$30b4ob2o2b2o2b2o$30b2o4bo2bo3bob2o$34b2ob2ob2obobobo$33bo3bob2o3b2obobo$39bo2b2o2bo$41bob2o4b2o$36b4ob2ob5o$37bo2bob2o4bo$38b3o2bo$38bo2bobo$39b2o2bo$43b2o$40bobo$42bo!

there is no c/6d at w22glide, maybe a w24glide one might be pretty short?

as an aside, I have found that ikpx2 is usually less useful than even the browser version of rlifesrc for c/6d glide-symmetric (for both finding spaceships and verifying their minimality), but generally superior for ordinary-symmetric periods ≥6 and glide-symmetric ≥8; rlifesrc is only better than it for minimising higher-logical-period spaceships, this rule being an exception (and of course note that ikpx2 doesn't support odd-period diagonal symmetry)

2c/7 partials from negative qfind searches at w11a, w19o, w20e and w23g; between logical width 9 and 10, odd becomes slightly more promising than even (w21o and w22e caused zsh to kill qfind on my computer with the most RAM, I may retry when I have fewer other searches running)

Code: Select all

x = 88, y = 167, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4b4o15b4ob4o18b2o20b2o5b2o$4bo2bo16bob3obo18b4o18b4o3b4o$3b2o2b2o15b2obob2o18bo2bo18bo2bo3bo2bo$5b2o13b3o2bobobo2b3o11b2ob4ob2o15bo2bo3bo2bo$4bob2o12bobobob3obobobo11b2ob4ob2o17bo5bo$3bob3o11b6o2bo2b6o8bo2bo6bo2bo13b3o5b3o$2b2ob3o11b3o3bobobo3b3o7b2o2b2o4b2o2b2o10b2o2bo5bo2b2o$b2o3bo12b3o5bo5b3o9b2obo4bob2o12b2o3bo3bo3b2o$b2obob2obo9bo3bobobobobo3bo12b2o2b2o13bo6bo3bo6bo$b3o4b2o13b2o2bo2b2o13bo10bo9b2o3bob3ob3obo3b2o$4bo2bo13bob2o2bo2b2obo11b2o3b2o3b2o9b2o2bob2obobob2obo2b2o$bob4o15bo4bo4bo11b3ob2o2b2ob3o10bo5bo3bo5bo$3b3o17b3obob3o13b2obo4bob2o11b3ob4ob4ob3o$2bo5bo18bo15b3o2b2o2b2o2b3o8bo2bo4bobo4bo2bo$2b3ob2o15bobobobobo10b2obo2b2o2b2o2bob2o8bo2b2o2bobo2b2o2bo$2b2o2bob2o13bobobobobo14bob2o2b2obo12bobo2bobobobo2bobo$3bobo2bo13bo2bobobo2bo10bo2bobob2obobo2bo10bo4b2ob2o4bo$4bobob2o12bob2obob2obo10bo3bob4obo3bo9b2ob3obobob3ob2o$2bo3bo2bo13bobobobobo14bobo4bobo15bo3bobo3bo$2bo2b2o15bobo2bo2bobo14bob4obo14b2o2bobobobo2b2o$bo18b3ob2obob2ob3o13bo4bo17bo9bo$bo3b3o12bobobob3obobobo14b4o16bo13bo$2b2ob3o11bo2bobob3obobo2bo12b6o13b7o5b7o$7b2o10b2obo4bo4bob2o12bo4bo14b2ob3o5b3ob2o$3b3obo10bo3bo2bobobo2bo3bo9b2o2b2o2b2o10b3o3b2o5b2o3b3o$2b2o2bob2o8bo3b2ob5ob2o3bo10bo6bo14b4o7b4o$2b2obo3bo9b2o2b3o3b3o2b2o10b3o4b3o10b2o3b4o3b4o3b2o$2o2b2ob3o10bob2obo3bob2obo12bo6bo14b2o3bo3bo3b2o$b2o3bo18bo3bo19b4o14b2ob4o5b4ob2o$2bo2bobo15b2obobob2o16b2o2b2o18b4ob4o$2bo2b3o13b3obo3bob3o13b3o2b3o13bo6bobo6bo$3bo2b2o13b3ob2ob2ob3o14b2o2b2o15b2ob2obobob2ob2o$b2ob3o16bo7bo17bo2bo15b3obo2bobo2bob3o$b5ob2o12b3ob2ob2ob3o10b3o8b3o10b2obo2b2ob2o2bob2o$bo2b3ob2o11bo3b2ob2o3bo10bobobo4bobobo9bobob2ob2ob2ob2obobo$20b3o9b3o9bo3bo4bo3bo9bobob2obo3bob2obobo$22bob3ob3obo11bo3bob2obo3bo9bo2bobo2bobo2bobo2bo$20b2ob3o3b3ob2o13bob2obo14b2ob2ob2ob2ob2ob2o$22b4o3b4o12bo3b4o3bo11b2o4b2ob2o4b2o$20b3o9b3o11bo2bo2bo2bo10bob2obo2b2ob2o2bob2obo$44b2o2bo4bo2b2o9b3ob2obo3bob2ob3o$21b3o7b3o10bob3ob2ob3obo8b2obob4o3b4obob2o$22b4o3b4o11b2ob2o4b2ob2o10b5obo3bob5o$20bo2b2o5b2o2bo9b3o8b3o7b3ob3obobobobob3ob3o$20b2obo2bobo2bob2o9bo2bo6bo2bo8b2obob2ob2ob2ob2obob2o$21b2o9b2o12b2ob4ob2o9bobobobobo5bobobobobo$18bob3o9b3obo5bo3bo2b4o2bo3bo6bo4bobo5bobo4bo$19b3obo7bob3o9bobo6bobo11b4o2bo3bo2b4o$18bo2b2obo5bob2o2bo5b3o2bob4obo2b3o7bo17bo$23bo7bo11b4o8b4o9bob2ob3ob3ob2obo$19bobo11bobo8bo2bo2b2o2bo2bo10bob3o2bobo2b3obo$19bobobo7bobobo10bo2b4o2bo14bo2bo5bo2bo$19b2o2bo7bo2b2o10bobo4bobo14b2o9b2o$22b2o7b2o13bo3b2o3bo12bo4b3ob3o4bo$18b3o2b2o5b2o2b3o30b4o4bobo4b4o$21bo11bo13b2o4b2o12bo3bo2bo3bo2bo3bo$20bobo9bobo12bob4obo17bobo3bobo$20bob2o7b2obo31bo2b2obo7bob2o2bo$20bo3bo5bo3bo13b6o11b2ob2o2b2o5b2o2b2ob2o$21bo11bo12bob6obo11b7o5b7o$21bo11bo12b2ob4ob2o9b2o19b2o$21b2o9b2o13bo6bo16b3obobob3o$24bo5bo17b6o12bob2o2b2o5b2o2b2obo$21bo3bo3bo3bo12bobo4bobo11bo4b2o5b2o4bo$21b2obobobobob2o11bo2b2o2b2o2bo10bobob4o3b4obobo$20bo6bo6bo8b3obo6bob3o9b2o3bo5bo3b2o$21bo2bob3obo2bo12b10o17b2o3b2o$20bo4b5o4bo10bo10bo14bo9bo$21b2ob2o3b2ob2o11b12o$24b2o3b2o15b2ob4ob2o$23bobo3bobo13bobo6bobo$22b2ob2ob2ob2o13bo2bo2bo2bo$22bob3ob3obo11bo2b2ob2ob2o2bo$20b2obo2bobo2bob2o11bob6obo$21b2o2b2ob2o2b2o9bo2bo8bo2bo$20b3obobobobob3o9b3ob6ob3o$26bobo16b5o2b5o$42b3ob2obo2bob2ob3o$22bob7obo10bo2bo8bo2bo$21bo3b2ob2o3bo8bo2b2obo4bob2o2bo$21bo5bo5bo9b5o6b5o$22b2o2bobo2b2o15bob2obo$22b3o5b3o17b2o$21b2ob7ob2o$21b2o2b5o2b2o13bob4obo$21b5obob5o13bo2b2o2bo$21bo2bo2bo2bo2bo12bo3b2o3bo$19bobo2bo2bo2bo2bobo10bo3b2o3bo$18bo2b2o4bo4b2o2bo9bob6obo$19bo3bo3bo3bo3bo$18b2ob2o4bo4b2ob2o13b2o$19bo2b4o3b4o2bo10bo2bo2bo2bo$24bobobobo15b10o$26bobo17b2ob4ob2o$26bobo17bobo4bobo$21b3o7b3o13b2o4b2o$22b2o7b2o13bo2b4o2bo$23b3o3b3o15bo6bo$23b9o14bo2bo2bo2bo$23bo3bo3bo13bobob4obobo$21bo11bo10bobob2o2b2obobo$21bobo2bobo2bobo8b2ob3o6b3ob2o$24b3ob3o10bo6bo4bo6bo$20b2obo7bob2o7b6ob4ob6o$19bo6bobo6bo6b2o5b4o5b2o$19b4o2bo3bo2b4o6bobob3o4b3obobo$20b3obo5bob3o14b4o$19b2obobob3obobob2o5b2o2bo2bo4bo2bo2b2o$20b4obobobob4o7bo2bobob4obobo2bo$19b2o3bo5bo3b2o7b2ob3o4b3ob2o$22b2o3bo3b2o13bo2b4o2bo$21bo3bo3bo3bo12b2obo2bob2o$22b3obobob3o14bobo2bobo$24b2o3b2o15bo2bo2bo2bo$22bobob3obobo14bo6bo$23b2o2bo2b2o15bobo2bobo$21b2obobobobob2o11b2obob2obob2o$21bob2o2bo2b2obo12bo2bo2bo2bo$21b2o4bo4b2o10bobob6obobo$23b3obob3o13b2ob2o2b2ob2o$22bo3b3o3bo15bob2obo$20b2ob3obob3ob2o8b3o2bob2obo2b3o$24b2obob2o12bobo2bob2obo2bobo$19bob3obobobob3obo9b2obo4bob2o$19b2obob2obob2obob2o10b2obo2bob2o$19b2o4b5o4b2o9b2o3b2o3b2o$27bo16bo3bo4bo3bo$18b2o2bo3b3o3bo2b2o7bobobo4bobobo$21bo5bo5bo9b3obo2b2o2bob3o$18bobo6bo6bobo8bobobo2bobobo$19b2obo3b3o3bob2o8bo2bo2b2o2bo2bo$20bob3ob3ob3obo9b2obo2b2o2bob2o$21bo2b7o2bo10bo2b2o4b2o2bo$20bob4o3b4obo8b2ob2o2b2o2b2ob2o$21bo3bo3bo3bo10b4ob4ob4o$20b2o11b2o7bob4o2b2o2b4obo$23b2o5b2o11b2o2bobo2bobo2b2o$20b2o5bo5b2o9bo5b2o5bo$23bob2ob2obo12bo3bo4bo3bo$20b2obo2bobo2bob2o6b2o2bobobo2bobobo2b2o$20bobob7obobo13bo4bo$19b4o2b2ob2o2b4o7b4ob2o2b2ob4o$19b3ob2obobob2ob3o10bobo4bobo$22bob7obo11bo3b6o3bo$20bobo4bo4bobo9bo2bo6bo2bo$21bob2o5b2obo11b2o3b2o3b2o$20bob3o5b3obo9bo12bo$22bobo5bobo12b3ob4ob3o$26b3o16bo2b6o2bo$24b2o3b2o14b2ob6ob2o$24bo2bo2bo12bobo10bobo$22b2o3bo3b2o10bo2bobo4bobo2bo$21bo3bobobo3bo8bo2bo3b4o3bo2bo$20bo2b2ob3ob2o2bo10bo10bo$19b2o3bob3obo3b2o6b3ob2o6b2ob3o$20bo2bo3bo3bo2bo6b2obo2b8o2bob2o$21b2ob7ob2o9bob2ob2o2b2ob2obo$20bob3o2bo2b3obo9b3ob2o2b2ob3o$19bo2bo2bobobo2bo2bo9b3o6b3o$18b3o2bobobobobo2b3o8bobob4obobo$20bo2bo7bo2bo8b4o2bo2bo2b4o$20bo2b3o3b3o2bo$19bob3ob5ob3obo$18bo6bobobo6bo$19bo3bobo3bobo3bo$18bob5obobob5obo$19b2o5bobo5b2o!

edit (2020-08-24T11:00): found a c/5d in 38×38, the smallest possible bounding box for a w17a; minpop is 155 to Cole's original's 451

Code: Select all

x = 31, y = 37, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
25b2ob2o$24bobob2o$23bo2bo3bo$24b2o4bo$21b2o2bob4o$22bob2o2bo$19bob2o$19bo2bobob2o$18bo2bo3bobo$20bobobobo$21bo4bo$17b6ob2o$13bobobo3bo3b2o$12bob4o5b2o$13b7obo$19bob2o$17b3obobo$17b3o$13bo3bo$10bo2bobo$8b4o2bo2b3o$8b4obobob2o$5bobob2o2bo2bo$5b2o8bo$3b2o2b3o5bo$4b2obobob2o$5bobo3b2o$4bo2bo2bobo$5b2o2bo2bo$3bob2o2b4o$5bo$obo$3o$obo$o$b2o$o!

[confocaloid]

Partial for a diagonal c/6 spaceship, ikpx2 [...]

The first completed diagonal c/6 spaceship from the ikpx2 run:

Code: Select all

#C completed spaceship: xq6_yzybg4gsseim132cozyzy8ka7rbb15a5qrst7zyzy1gomq0d5dbg1gk4n8vf502zyyg8oafc1012wg0gl7g7101zyx653kgy2oogl7211zysocm5q56rdm30qkca701zylg0oc021amat2lpe52zyigs5a1ckr56go821zycgo8j6s301hmoac252zy6ggoecu2230o8lp364zwgg8wam09heggg0iueb01z8emaq33w1169i8o33zy3kcgv3o4zy4311
#C Catagolue URL: https://catagolue.hatsya.com/object/xq6_yzybg4gsseim132cozyzy8ka7rbb15a5qrst7zyzy1gomq0d5dbg1gk4n8vf502zyyg8oafc1012wg0gl7g7101zyx653kgy2oogl7211zysocm5q56rdm30qkca701zylg0oc021amat2lpe52zyigs5a1ckr56go821zycgo8j6s301hmoac252zy6ggoecu2230o8lp364zwgg8wam09heggg0iueb01z8emaq33w1169i8o33zy3kcgv3o4zy4311/b34ar5ins2i3-i4-nwz5ceny6cei7e8
#C breadth = 21
#CLL state-numbering golly
x = 68, y = 68, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
6bo$4b2ob2o$4bo4b2o$4bo5bo$b3ob2o2b2o$bo2bo5bo2bo$o3bo2b2o3bob2o$b
o4bobo4bo$bo4b2ob3o3bo$2bobo3bob4obobo$2b4o2b2o2bobob2o$8b2o6b2o$
6bo2b2o4b2obobo$5bobobo5bob3ob2o$6bo3bo4b2ob2o2bo$6bob2o2b3obobo2b
ob2o$10b3ob2ob2o2b6o$9b3obo2bo4bob3o$12b5o7bo2bo$13b2o11bo$12bo11b
2ob2o$13bob3o8b3obo$13b2obo9bo2bob2o$15b3o9b2o$15b4obo9bo$16b2o2bo
5b2ob2o$16bo2bob2o2bobo2b2o$18bob2obob2ob2obo$20b2obo3bob2ob2o$22b
o2bob2o2bob2o$21bo2b3obo2b2o3b2o$22bo3b2ob2obob3obo$22bo5bob2obo3b
o$28b2o2bobo2b3o$29bobobobobobobo$31bo2bo2bob2obo$30b2o5b3ob2o$30b
ob5obobo2bo$31bobo2b2obobo$33b4obobo3b2o$35bobobob2o2bo$34bobobobo
b3o2bo$35b2o3b2o2b4o$37bo3bo2b2o2bo$39bob3obobob2o$39b2ob3obo2b2o$
42bo2bob2o2bo$41b2obobo$43bo2bo3bobo2bo$44b2o7b2o$44b2o2bo3bo2bo$
46bo7bo2b3o$48bobo3b2obobo$49bo4b2obo2bo$49bob3obo3bo$48bobob3ob2o
4b3o$55bo3bo3b3o$51b3obo2bo2bo5bo$51bo5bo5bob3o$51b2obobo5bob2o$
53bo12bo$57bo$55bo3bo$55b2obo$55b2o2bo$56bob2o$58bobo$57b2o!

[hibiscus]

c/10o partial from an unsuccessful search

Code: Select all

x = 12, y = 65, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
5b2o$5b2o$5b2o2$3b2o2b2o$2bobo2bobo$4bo2bo$bob2o2b2obo$2ob2o2b2ob2o$b
2obo2bob2o$3bob2obo$2bo6bo$b2obo2bob2o$4bo2bo$4b4o$2b2o4b2o2$4b4o$5b2o
$3bo4bo$4bo2bo$3b2o2b2o$4bo2bo$3b2o2b2o$3b6o$3b6o$3b6o$b10o$b2o2b2o2b
2o$2b2o4b2o$2b2ob2ob2o$5b2o$4bo2bo$4b4o$4b4o$bo2b4o2bo2$b2ob4ob2o$4b4o
$4bo2bo$b2obo2bob2o$5b2o$2bobo2bobo$3bob2obo$b2ob4ob2o2$2bo6bo$3bob2ob
o$4b4o$2b2o4b2o$2b3o2b3o$2b2o4b2o$bob2o2b2obo$3bob2obo$4bo2bo$b3o4b3o$
3obo2bob3o2$2o2bo2bo2b2o$b2o2b2o2b2o$b2o6b2o$4bo2bo$b3o4b3o$2obob2obob
2o$4b4o!

[confocaloid]

Currently running an ikpx2 search for period-2 orthogonal c/2, here is a partial:

Code: Select all

#C depth = 27
#C breadth = 40
#CLL state-numbering golly
x = 54, y = 23, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
26b2o$24b6o$22b2obo2bob2o$20b3obo4bob3o$19b2ob2o6b2ob2o$18bo3bo8bo
3bo$17bobo14bobo$15b3o2b2o10b2o2b3o$14bob3o3b2o6b2o3b3obo$13b2obob
2o2b2o6b2o2b2obob2o$13bo2bo9b2o9bo2bo$22bo2b4o2bo$10b3ob2o2bo3b2ob
o2bob2o3bo2b2ob3o$8b5obobobobobo2b4o2bobobobobob5o$6b2ob2o5bo8b4o
8bo5b2ob2o$6b2o2bob2o4b2o2bo8bo2b2o4b2obo2b2o$6b2o2bob2o3b2obo3b2o
2b2o3bob2o3b2obo2b2o$4b4o2bo2bo6bo2b3o2b3o2bo6bo2bo2b4o$3b2obo2bo
2bob2obo2bob2o6b2obo2bob2obo2bo2bob2o$2bo3bo2b2o3bo3bob2obo2b2o2bo
b2obo3bo3b2o2bo3bo$bobo13b4o2bobo2bobo2b4o13bobo$2o3b2obo5b2obob2o
3bob2obo3b2obob2o5bob2o3b2o$obobo4b2o3bo2b2o2bo3bo2bo3bo2b2o2bo3b
2o4bobobo!

There might be some reason why a spaceship of this period and speed would be impossible, though.

[H. H. P. M. P. Cole]

With contributions by: eRroR_6o6, hibiscus, confocaloid, DroneBetter, and me

Updated oscillator collection (EDIT 28/8/24: new p31 and p46):

Code: Select all

x = 331, y = 274, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
140bobo$140b3o19bo11bo$139bobobo18bobo7bobo$140b3o18bobo9bobo123bobo$
141bo18bob3o7b3obo12bo110bo$139bobobo14b2obobo3bobo3bobob2o9b3o93b2o14b
o$5b2o24b2o5b2ob2o95b3ob3o15b3o4b3o4b3o12bo76b3obobo9bob2obo9b2obob2o
$6bo7b2o5b2o8b2o5b2ob2o73b2o2bobo16bobobo15bobo6bo6bobo11bo78bobobo9b
o4bo12bo$6bo7b2o5b2o6b2o2b2o5bo76bo2bobo13bo2bobobo2bo20b3o15bo3bo3bo
73b2ob3o8b2ob2ob2o6bo4bo4bo$6bo16b2o4b2o2b2o3b2ob2o74bo2b3o9bo2b4ob3o
b4o2bo17bo14b2o4bo4b2o72bo3bo21b6ob6o$5b3o15b2o6b2o5b2ob2o74bo4bo7b2o
bo2bo2bobobo2bo2bob2o9b2obo2bo2bob2o9b5ob5o71b3o3bo22bo4bo4bo$31b2o83b
3o3bo8b5ob4ob4ob5o11b5ob5o9b2o4bo4b2o85b2ob2ob2o11bo$130b2obo2bo2bobo
bo2bo2bob2o9b2obo2bo2bob2o10bo3bo3bo88bo4bo9b2obob2o$132bo2b4ob3ob4o2b
o17bo20bo92bob2obo12bo$136bo2bobobo2bo20b3o19bo94b2o14bo$139bobobo15b
obo6bo6bobo10b3o108bobo$138b3ob3o15b3o4b3o4b3o12bo$139bobobo14b2obobo
3bobo3bobob2o$141bo18bob3o7b3obo$140b3o18bobo9bobo$5b3o7bo16bo6bo99bo
bobo18bobo7bobo$7bo7bo6b3o8b2o3b3o5b2o5b3o5bo78b3o19bo11bo$5b3o7bo7bo
9bo5bo7b2o5bo6b2o77bobo163bobo$5bo47b3o4b2o223b2o2b2o16bo$5b3o199bo6b
o71b4o14b2obob2o$207b3o2b3o51b3ob3o10bo2bo2bo2bo12b2ob2o$15bo5bo3bo7b
o5bo21bo144b3o4b3o52bobo12b3o4b3o12bobobo$15bo4b3o3b2o4b2o4b3o5b2o13b
2o85bobo46bo69b2ob3o11bo6bo14b3o$14b3o4bo3b2o6b2o4bo7b2o11b2o54b2o2b3o
8bo16b3o46bo12b2o56bobobo11bo6bo14b3o$21bo4bo6bo4bobo5b2o13b2o54bo2bo
9b3o15b3o45bobo10bo2bo53b3ob3o10b3o4b3o13b3o$117bo2b3o7b3o15b3o59b2o11b
o59bo2bo2bo2bo14bo$117bo2bobo7b3o14bobobo17bo13b3o23bo2bo8b3o62b4o17b
o$116b3ob3o7b3o13b3ob3o14b2o13bobobo23b2o10b3o60b2o2b2o16bo$15bo6bobo
6bobo4bobo5b2o5b3o5bo12bo55b3o12bobobobobo14b2o10b2o2bo2b2o5bobobo11b
2o13bo80bobo$15b3o5b3o6b2o5b3o5b2o5bo6b2o5bo5bo4bobo49bo12b3ob3ob3o10b
o2bobo10b3ob3o6bobobo22b5o$14b3o5b3o6b4o3b3o5b2o5b3o4b2o4bobo4bobo4bo
49b3o7b4obobobobobob4o6b3ob4o11bo8b7o20b2o3b2o$16bo7bo8bo5bobo5b2o5bo
6b2o4bobo3b3o3bob2o48bo9b4ob3ob3ob4o6bobobobo2b2o9bo9bobobo22b5o$53b3o
4b2o5bo13bo48b3o7b4obobobobobob4o8b3ob3o10bo9bobobo11b2o9bo$131bo12b3o
b3ob3o13bobo2bo10bo25b2o10b3o$145bobobobobo14bobo12bobo23bo2bo10b3o$18b
o127b3ob3o16b3o38b2o11bo$16bobobo126bobobo17bo26bobo10bo2bo$16bobobo43b
obobobo77b3o46bo12b2o$15b7o40b9o77b3o46bo93bo$17bobo43b9o11bo64b3o55b
3o4b3o74b3o$62b9o11b3o63bobo56b3o2b3o75b3o$63b9o9bobobo121bo6bo75b3o$
62b9o9b3ob3o203b3o$15bo7bo6bobo5bobo5bobo4bobo7b9o9bobobo205bo$15b3o3b
ob3o4b3o3bob2o4bob3o4b3o6b9o11b3o180bobobobo16bo2bo2bo$13b2obo5bobo3b
2obo5bo2bo4bobo3b2obo8b9o11bo181bobobobo17b2ob2o$14b2o5b3o5b2o5b2o6b3o
5b2o9bobobobo195b3ob3o14bo2bobobo2bo$14bo7bo6bo8bo6bo5b2o214bo3bo15b2o
b3ob2o$138bobo126bo3bo9b4o2bobobobobo2b4o$116b2o2b3o16bo140b7ob3ob3ob
7o$117bo4bo14bobobo139b4o2bobobobobo2b4o$117bo4bo15b3o146b2ob3ob2o$14b
o5bo6bo6bo5bobo5bobo5bobo5bobo5bobo5bobo5bobo26bo4bo163bo2bobobo2bo$14b
obo3bobo4bobo4bobo4bo2bo4bo7bo6b3o5b2o6b3o5b3o25b3o3bo15b3o148b2ob2o$
13bo5bo5bo7b2ob2o2b2obo3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o46b3o
147bo2bo2bo$14b3o3b3o3b4o4bobo4bob2o4bo7b2o6bo7b2o6b2o5b3o48bo151bo$14b
o4bobo3bobo8bo6bo4bobo5bobo5bobo5bobo5bobo5bobo40bo6b3o6bo142b3o$129b
o2bob2obobobob2obo2bo140b3o$130b3ob5ob5ob3o141b3o$129bo2bob2obobobob2o
bo2bo140b3o$13bobo5bo6bo6bobo8bo6bo5bobo5bo6bo5bobo48bo6b3o6bo143bo$14b
o5b2obo4bobo5bo7b3o4b3o4b3o4b3o4b3o4b3o57bo$13bo2bo4bobo3b2ob2o3bo2bo
6b3o4b3o4b3o4b3o4b3o4b3o55b3o$14bob2o2bob3o4bo7b3o98b3o$14b2o6bo5bobo
7bo6b3o4b3o4b3o4b3o4b3o4b3o207bobo$44b3o4b3o4b3o4b3o4b3o4b3o56b3o150b
o$46bo5bobo4bobo75bobobo148b3o$65b3o4b3o4b3o57bo151bo$66b3o4b3o4b3o55b
obo149b3o$66bo5bobo4bobo204bo3bobo3bo$287b3obob3o$284bo2bo2b3o2bo2bo$
285b2ob2obob2ob2o$33bo5bo4bo6bo6bo6bo6bo5bobo204bobob2ob2obobo$13b2o4b
3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o185bobob3o13bob2o2bo2b2obo$14b2o
4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o107bo76bobobo9bobob2obobo2bo2bob
ob2obobo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o36b2o2b3o23bo12b
o12bo12b2obo76b3ob3o8b4ob3ob2ob2ob3ob4o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o
4b2o5b2o5b3o36bo2bobo21b3o10b5o8b5o10b2ob2o77bobobo7bobob2obobo2bo2bo
bob2obobo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o37bo2b3o8b4o10b
3o10b3o10b3o11bo2bobo76bob3o13bob2o2bo2b2obo$14b2o4bo5bo5b2o4b2o4bo5b
3o4b3o4b2o5b2o5b3o36bo2bobo6b2ob2ob2o5bo3bobo6bo3bo3bo4bo3bo3bo5b3ob2o
b4o92bobob2ob2obobo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o36b3o
b3o6b2o4b2o6b3ob4o5b3ob3o6b3ob3o6b2obo2bo96b2ob2obob2ob2o$14b2o4bo5bo
5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o48b2o4b2o6bo2bob2o6bo2bo2bo5bo3bo3bo8b
o2bob2o92bo2bo2b3o2bo2bo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o
49b2ob2ob2o9bo2bo9bo11b3o7b4ob2ob3o95b3obob3o$14b2o4bo5bo5b2o4b2o4bo5b
3o4b3o4b2o5b2o5b3o50b4o10b2o11b3o9b5o8bobo2bo97bo3bobo3bo$13b2o4b3o3b
3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o67bo24bo11b2ob2o101b3o$14b2o4bo5bo5b
2o4b2o4bo5b3o4b3o4b2o5b2o5b3o104bob2o102bo$13b2o4b3o3b3o3b2o4b2o4b3o3b
3o4b3o4b4o3b4o3b3o105bo104b3o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b
3o210bo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o210bobo$14b2o4bo
5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o80bo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b
3o4b4o3b4o3b3o80b3o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o35b3ob3o
10b4o22bobobo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o38bobobo11b
2o21b4ob4o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o35b3obobo9bo4bo20b
o2bo2bo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o36bo3bobo8b8o6bo
2b3obo8bo103b3ob3o$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o35b3ob3o
8bobo2bobo6b2o3b2o8b3o102bo5bo9b2o4bo2bo4b2o$13b2o4b3o3b3o3b2o4b2o4b3o
3b3o4b3o4b4o3b4o3b3o52b2o2b2o7bo5bo8b3o102b3ob3o5bob2o2bob2o4b2obo2b2o
bo$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o53b2o24b3o104bobo6b26o$13b
2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o54b2o25bo103b3ob3o5bob2o2bo
b2o4b2obo2b2obo$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o79b3o118b2o
4bo2bo4b2o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o81bo$14b2o4bo
5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o79b3o$13b2o4b3o3b3o3b2o4b2o4b3o3b3o
4b3o4b4o3b4o3b3o60bo20bo$14b2o4bo5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o57b
obobo$13b2o4b3o3b3o3b2o4b2o4b3o3b3o4b3o4b4o3b4o3b3o57bo2bo2bo$14b2o4b
o5bo5b2o4b2o4bo5b3o4b3o4b2o5b2o5b3o54b3o2bo2b3o$13b2o5bo4bobo4bo4bo5b
obo4bo5bobo5bobo3bobo4bobo36b3ob2o12b3ob5ob3o143bobo10bobo12bobo$118b
o2bo11bobobo2bo2bobobo143bo12bo14bo$116b3o2bo10b3ob9ob3o129bobo7bo2bo
2bo6bo2bo2bo8bo2bo2bo$116bo4bo10b2obobo2bo2bobob2o103b2o2b3o5bobo12bo
9b2ob2o8b2ob2o10b2ob2o$48b2o2b2o62b3ob3o8b2ob3ob2ob2ob3ob2o103bo2bobo
2bo2bobo9bo2bobo6bo2bobobo5bo2bobo2bo6bo2bobo2bo$49b4o16b3o58bo2bobob
obobobobobo2bo102bo2bobob3ob3ob3o6b2ob3o8b2ob3o7b2ob2o10b2ob2o$4b3o40b
obo2bobo14b3o61bobob2o3b2obobo105bo2bobo2bo4bobobo5bo2bobobo6bo2bobob
o5bo2bobobo7bo2bobo2bo$6bo7b2o2b2ob2o4b2o2b2o2b2o10b2ob2ob2o14bobo57b
8o7b8o100b3ob3o7bobobo7b3ob3o7b3ob3o7b2ob3o9b2ob2o$5b2o7b2o2b2ob2o4b2o
2b2o2b2o8b2obob2obob2o10b2obob2o59bobob2o3b2obobo131bobobo9bobobo7bo2b
obobo7bo2bobobo$6bo9b2o2bo8b2o2b2o8bo2b2o6b2o2bo7bobobobobo55bo2bobob
obobobobobo2bo129b3o11b3o10b3ob3o9b2ob3o$4b3o7b2obo2bo6b2o2b2o2b2o6b3o
10b3o7b2ob3ob2o56b2ob3ob2ob2ob3ob2o131bo13bo12bobobo9bo2bobobo$14b2ob
o2bob2o3b2obob2ob2o7bob2o6b2obo5b3o2bobobo2b3o54b2obobo2bo2bobob2o160b
3o12b3ob3o$16b3obob2o5b2o2b2o9bob2o6b2obo5b2ob4ob4ob2o54b3ob9ob3o161b
o14bobobo$14b2ob5o5b2ob3o2b2o6b3o10b3o4b3o2bobobo2b3o55bobobo2bo2bobo
bo178b3o$14b2o5bo5b2o4bob2o6bo2b2o6b2o2bo7b2ob3ob2o59b3ob5ob3o180bo$16b
2ob2ob2o5b2ob2o11b2obob2obob2o9bobobobobo60b3o2bo2b3o$16b2ob2ob2o5b2o
b2o13b2ob2ob2o12b2obob2o63bo2bo2bo$47bobo2bobo14bobo66bobobo$49b4o16b
3o68bo$48b2o2b2o15b3o2$131bo$84bob2obo40b3o$83b2o4b2o25b3ob3o7b3o$4bo
bo16bobo5bo7b2o23bo17bobo4bobo26bo3bo7b3o$4bobo6b2ob2o6bo7b2o5b2o21bo
bobo4bob2obo4b3ob4ob3o23b3ob3o7b3o$4b3o7b3o5bobobo5bo6b2o4b2ob2o3b2o2b
2o3bo3bo4bo4bo7bo4bo26bo3bo9b3o$6bo7bobo6b3o6bo6b2o5b3o5b4o3b7o2b8o3b
o2bo4bo2bo23b3ob3o8bo$6bo16bobo5b2o6b2o4b2ob2o3b2o2b2o3bo3bo4bo4bo4bo
2bo4bo2bo37b3o$33bo5b2o21bobobo4bob2obo7bo4bo41bo$64bo16b3ob4ob3o37bo
bo$82bobo4bobo$83b2o4b2o$84bob2obo$17bobo2bobo12bobo2bobo2bobo2bobo83b
o$14b3obob2obob3o6b3obob2obob2obob2obob3o79b3o$13b16o4b26o79bo$14b3ob
ob2obob3o6b3obob2obob2obob2obob3o80bo$17bobo2bobo12bobo2bobo2bobo2bob
o83bo$135b2obob2o$116b3ob3o11bob5obo$118bobo13b2obobob2o$116b3ob3o7bo
4b2obob2o4bo$15b4o97bo3bobo6b7obobob7o$15bo2bo97b3ob3o7bo4b2obob2o4bo
$4b3o8bobobo114b2obobob2o$4bo9bobobob3o111bob5obo$4b3o5b2obobobo2bo112b
2obob2o$6bo5bobobobobobo115bo$4b3o5bo2bobobob2o115bo$12b3obobobo117bo
$15bobobo117b3o$16bo2bo118bo$16b4o4$164bobo$23bobo16b4o14bobo10bobo7b
o9bo71bo$4b3o8b3o6bo7bo10b2o5bo10b2o8b2o2bo5bob2obo4b2o3bo68bo$4bo11b
obo4b2o7b2ob2o13b3o5bo3bo9bo3bo5bo2b2o5bo3b3o32bo11bo20b3o$4b3o8bob3o
5b3o3b2ob2o13bobobo5bo3b3o7bobo6bobobo5bo3b2o5bo12b3ob3o6b2obo8b2obo20b
o$4bobo10bo6bobo8bo14bob2o4b3o3bo10bo19bobo5bo14bobobo7b3o9b3o20bo$4b
3o34b2o8bob2o6bo3bo37b2o11b3ob3o9bo11bo12b3o5bo5b3o$40b4o8bo8b2o38b2o
13bo3bobo24bobo7b3o2b2obob2o2b3o$61bobo8bo10bo18bobo11b3ob3o7bo2bo8bo
2bo3b2o6b3o2b2obob2o2b3o$70b3o2bo5b3o19bo28b3o9b2o2bo8b3o5bo5b3o$72bo
bo7b2o8b3o7b3o27bo11bo20bo$71bo2b3o14bobobo69bo$74bo15b3ob3o67b3o$24b
o59b2o5bobobo69bo$24bo59b3o5b3o70bo$21bo2bo2bo14bo2b3o2bo33bo8bo70bob
o$4b3o14bo2bo2bo13b3ob3ob3o$6bo13bob2ob2obo11bobo2bobo2bobo$6bo12bob2o
bob2obo9b3ob2obob2ob3o$6bo10b2obobobobobob2o8bobobobobobobo78bo6bo6bo
$6bo12b3o2bo2b3o12b2ob3ob2o78b3o5b3o5b3o$19bo4bo4bo9b3o2bobobo2b3o62b
3ob3o7b3o4b3o4b3o$15b4ob4ob4ob4o5b2ob4ob4ob2o64bobobo15bo$19bo4bo4bo9b
3o2bobobo2b3o63b2obobo14b3o$19b3o2bo2b3o12b2ob3ob2o67bobobo14b3o$17b2o
bobobobobob2o8bobobobobobobo63b3ob3o15bo$19bob2obob2obo9b3ob2obob2ob3o
76b3o4b3o4b3o$20bob2ob2obo11bobo2bobo2bobo76b3o5b3o5b3o$21bo2bo2bo13b
3ob3ob3o79bo6bo6bo$21bo2bo2bo14bo2b3o2bo$24bo$24bo5$4b3o$4bobo9b2o7bo
11bobo$4b3o9b2o7b3o9b3o14bo7bobo$4bobo15b3o12b3o12b2o8b4o$4b3o9b2o6bo
11bobobo12b2o6b2obobo73b6ob6o$15b4o18b3o13bo8b2ob3o16b3o10b3o42b3obob
3o$37b3o17bo4bobobo18b2o2b2o2b2o2b2o39bo5bobobo5bo$33bo3bobo3bo11b2o6b
3o16bo2bob2o6b2obo2bo36bo7bo7bo$30b3ob3obob3ob3o9bo6b2o16b4ob12ob4o35b
2o3b3ob3o3b2o$31b5obobob5o18bo8bobo6bo2bob2o6b2obo2bo36b2o2bobobobobo
2b2o$18b3o9b3ob3obob3ob3o27bo10b2o2b2o2b2o2b2o39b3ob2ob3ob2ob3o$19bo13b
o3bobo3bo27b2obob2o6b3o10b3o16b3ob2o16bo3bobobobobo3bo$18bo18b3o32b2o
b2o41bo2bo17b3ob3ob3ob3o$17b3o17b3o16bobo13bobobo40b2o2bo16bo3bobobob
obo3bo$18bo17bobobo16b2o14b3o42bo2bo16b3ob2ob3ob2ob3o$19bo17b3o14b2o2b
o3bo10b3o8bo4bobo24b3ob3o15b2o2bobobobobo2b2o$18b3o16b3o15b3ob3o12bo6b
2ob3ob2obo46b2o3b3ob3o3b2o$37bobo15bo2bo2bo19b2ob3ob2obo46bo7bo7bo$58b
o25bo4bobo46bo5bobobo5bo$57bobo82b3obob3o$140b6ob6o4$47bobo12bo$16bo10b
o8bo11bo13bo$2o2b3o9bo8b3o6b5o6bo2bo2bo7bo2bo2bo$bo2bobo8b2o9b2o8bo9b
2ob2o9b2ob2o11bo9bo$bo2bobo10bo8bob3o3b5o4bo2bobobo2bo3bo2bobobo2bo4b
2ob2o5b2ob2o$bo2bobo11bo8b3o5b3o6b2obobob2o5b2obobob2o6b5o5b5o$3ob3o12b
3o7bo5bobo5bo2bobobo2bo3bo2bobobo2bo$19bo26b2ob2o9b2ob2o10bo7b5o50bob
o$45bo2bo2bo7bo2bo2bo8b2o6b2ob2o51b3o$48bo13bo11bo11bo52bo$48bo13bo76b
o$139bo$139bo$136b2obob2o$135b9o$15b4o115bobo5bobo$17b4o112b3ob5ob3o$
16b2obo96b3ob3o10b2obo2bo2bob2o20bo$19b2o97bo3bo4b2o5bobo2bo2bobo5b2o
7bobob3ob3o$18bo98b2ob3o5b7ob3ob3ob7o7b13o$118bobo6b2o5bobo2bo2bobo5b
2o7bobob3ob3o$116b3ob3o10b2obo2bo2bob2o20bo$133b3ob5ob3o$37bobo94bobo
5bobo$38bo13bobo80b9o$17bo20bo14bo82b2obob2o$2o2b3o10bo6bobo11bo11bo2b
ob2o82bo$bo4bo10bo6b3o9b5o10b2ob2o2bo80bo$bo2b3o8b2ob2o3bobobo7bobobo
bo8bo2bobob2o80bo$bo2bo11bobo6bo5bo3b2obob2o3bo6b3ob4o79bo$3ob3o8bobo
bo3b2ob2o4b4obobob4o7bo2bobo80b3o$16b3o6bo5bo3b2obob2o3bo8b3o81bobo$17b
o5b5o7bobobobo11b3o$17bo6b3o9b5o14bo$24bobo11bo$38bo$38bo$17bo19bobo$
17bo$17bo$15b2ob2o$16bobo$15bobobo$16b3o$17bo$16bobo!

Ship collection:

Code: Select all

x = 814, y = 119, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
6b2o16b2o16b4o7b4o14b4o9b4o17b4o21b2o14b2o4b2o4b2o4b2o3b2o5b2o3b2o5b2o
8b2o8b2o3b2o6b2o3b2o6b2o4b2o6b2o7b2o6b2o3b2o5b2o4b2o6b2o3b2o6b2o6b2o3b
2o5b2o6b2o12b3o13bob4obo10b5o12b2o249bo12bo2bo$4b6o12b6o12b2obob2o5b2o
bob2o10b2obob2o7b2obob2o13b3o2b3o17b6o12b2o4b2o4b2o4b2o3b2o5b2o3b2o5b
2o8b2o8b2o3b2o6b2o3b2o6b2o4b2o6b2o7b2o6b2o3b2o5b2o4b2o6b2o3b2o6b2o6b2o
3b2o5b2o6b2o11b5o13b6o11b2ob2o10b2o2b2o11b2o10b2o7b2ob2ob2ob2o9b2o9b2o
6b2o8b2o6b2o6b2o6b2o7b2o8b4o4b4o3b4o8b2o14b7o9b4o9b5o11b4o8b4o5b4o8bo
bobo10bo2bo$3bobo3b2o10bobo3b2o10bobo3bob2ob2obo3bobo8bobo3bob2o3b2ob
o3bobo11b2o2b2o2b2o14b2ob2obob2o9bo2bo2bo2bo2bo2bo2bo2bobo2bo3bo2bobo
2bo3bo2bo6bo2bo6bo2bobo2bo4bo2bobo2bo4bo2bo2bo2bo4bo2bo5bo2bo4bo2bobo
2bo3bo2bo2bo2bo4bo2bobo2bo4bo2bo4bo2bobo2bo3bo2bo4bo2bo8b2o2bo2b2o8b2o
8b2o8bo3bo11bo2bo12b2o10b2o6b2ob3ob3ob2o6b2o2b2o7b2o6b2o8b2o6b2o6b2o6b
2o7b2o7bo2bo4bo2bo5bo2bo5b2o2b2o9bob3obob3obo6bobo9b7o8b8o5b2o3b2ob2o
3b2o5bo2bobo2bo7b2o2b2o$2b2obobobob2o7b2obobobob2o7b2o2bobo2b2ob2o2bo
bo2b2o6b2o2bobo2b4ob2o2bobo2b2o8b2obob4obob2o10b2obo3bo2bob2o8b2o4b2o
4b2o28b2o8b2o21b2o3b2o21b2o6b2o32b2o3b2o6b2o6b2o3b2o5b2o6b2o9b2obobob
2o8b3ob4ob3o7bo5bo8bo2b2o2bo31bo2bo3bo2bo8bo2bo69bo3bo3bo3bobo3bo7bo2b
o10b3o3bo3b3o5b2obobo6bo3bo3bo8b6o8bo3bobo3bo8bo5bo8bob2obo$2b2o7b2o7b
2o7bobo6b2o8bobo8b2o6b2o7bob2o10b3o6bobo10bobo8bobob2o5bobobo26b2ob2o
7b2ob2o27b2ob2o20b2o4b2o24b2ob2o6b2o4b2o59bobobobo8b2o10b2o3b2o2b5o2b
2o5bobo2bobo8bo11bo12bobobobo7bo2bo2bo2bo3bo12bo4bo12bo2bo12bo3bo10b5o
3b5o3b5o3bo2bo2bo2bo6bo3b7o3bo5bo2bo7b3obob3o8bo4bo8bob2o3b2obo6b4o3b
4o5b3o2b3o$bob2o5bo2bo5bob2o6bo2bo4bob2o7bobo7b2obo4bob2o5bobob2obo9b
2o4b2o2b4o2b4o2b2o6b2obobo4bo3bob2o12b3o2b4o3b3ob3o5b3ob3o4b4o6b4o7b3o
b3o5b3o3b3o4b2obo2bob2o7b2o4b4o5b3ob3o4b2obo2bob2o4b4ob4o4b4o4b3o3b3o
3b3o6b3o7b2ob2ob2ob2o6bobo2b4o2bobo4bo2bobobo2bo5b3o4b3o8b5o7b5o6bo7b
o8bob2obo6b5o2b5o6b5o2b5o4b5o2b5o5b5o6bo3bo7bobo10bob2obo9b2o2b5o2b2o
6bobo12bo14b2o14bobo11b3o3b3o7bo4bo49b2o2b2o$2o3bo4bo2b2o3b2o3bo5bobo
4b2o2bo17bo2b2o2b2o2bo6b4obobo6bobo5b2o14b2o6b2obobo10b3o10b3o4bobo4b
2ob2o7b2ob2o6bobo6bo2bo8b2ob2o7b3ob3o7bob2obo8b2o4b6o5b2ob2o7bob2obo6b
o2bobo2bo3b5o5b3ob3o5b3o4b3o7bo11bo5b3o2b4o2b3o5bob2ob2obo8bo4bo9bo11b
obo2bo8bo3bo8b3o4b3o3bo3bo4bo3bo4bo12bo2bo12bo3bo13b2o4bobobobobobo4b
3o4b3o8b2obo3bob2o11b2o5bo3bo3bo10b2o10b4o3b4o6bo2bo3bo2bo6bo4bo50b3o
b3o$bo9bobo5bo8bo2b2o4bo9b2ob2o9bo4bo8b2o2bo9b2ob2o3bob2o3bob2obo3b2o
bo4bob2o9bobobob2o12bo2bo3bo2bobobobo5bo5bo4bo3bo4b2obobo6bo5bo5bo7bo
5bo6bo6b2obo6b2o5bo5bo5bo6bo4bo3bobo3bo7bo3bo7bo5b2o4b2o8bo11bo8bobo2b
obo7b2ob2ob2ob2o9b2o13bob2o8bo2b2o6bo5bo8b2ob2ob2o6bo8bo8bob2o2b2obo6b
ob2o2b2obo7bob2o7bo2bo4bobo3bobo6b2ob2ob2o9bob2obob2obo11bo7b7o9b2o2b
2o10bo5bo10bobobobo62bob4ob2o$2ob3o4b2ob2o3b2ob3o7bo4b2ob2o5b3ob3o5b2o
b2o2b2ob2o5bo2b2o3b2o7bo3b2o2bo5b2o5bo2b2o2b2obo2bo10bo2bo17b3o4b5o8b
3o7b3o7bobo9b3o22bo4bo9bo4b2o10b3o8bo4bo6bob2ob2obo5b2o20b6o10b4o3b4o
8b2o6b2o8b2o3b2o11b2o23b2o2b2o21b3ob2ob3o4b2obo4bob2o51bobo7b2ob2o7b3o
b2ob3o6bo2b2obobob2o2bo9b2o5b2ob3ob2o7bob4obo6b2o9b2o5bo2bobobo2bo59b
3o4b2o2bo$bob2o8bo5bob2o5b2ob2o4bo9b2ob2o9bo5bo7bob4obo6bo2b2o3bo7bo2b
o7bo4bob3o9bo2bob2o25bo9bo3bo27bo3bo10bo10bo4bo24bo5bo6bo4bo8b2ob2o6b
4o6b2ob2o7bob4obo11bobobobo12bo4bo8bob2o3b2obo8bo2bo11bobo10bobobo22b
o4bo24bobo6bobo4bobo6bobo5bobo8bo11bobo10bo4bo8b5o5b5o9bo6b2ob3ob2o6b
obob2obobo6b2o7b2o9bobobo8b8o45bob2obo3bo2b2o$2obo2bo5bo5b2o3b3obo2bo
5b2obob2ob4o3b4ob2obob2o4b2o8b4obo13b2ob2o4b4o4b2ob2o2b2o2bo11b3obo25b
3o10bo31bo9b7o7bob2obo6bobobo14b2ob2o7bob2obo20bo8bobobo6bobob2obobo5b
4ob3ob3ob4o23bo5bo9bo4bo21b2obo24b2o4b2o5b3o6b3o51b2o21b2o4b2o7b2o2bo
5bo2b2o6bobo6bobo5bobo4b2o3b2o3b2o4bobo7bobo7bo2bo2bo7bo2b2o2bo45bobo
4bo3b3o$2bobo2b2ob2o8bob3obobo8bo2bob2ob2obobob2ob2obo2bo9bo3bobo7bo2b
3o7bo16bo5bob4o7b2ob2ob2o36bobo6b2o8b3o9b5o7bo2bo2bo8b4o8b3o14bobobob
o7b4o7bo7bo4bo2bo7b3o8b2o4b2o6b2o2b2obobob2o2b2o22b2o5b2o7b8o9b4o9bob
2o22b2ob2ob2o6bob6obo7b4o4b4o4b4o4b4o5b4o7bob2o7b2ob2o8b2ob2ob2o10b2o
5b2o8b3obo6bo7bo10b2o10b2o7b2o7bobobobobo7bob2obo45bob2ob2ob2obobo$6b
5o7bo5bob2o8b2obo2bobo2bo3bo2bobo2bob2o4b2ob8o2b3ob7o9b2o3bo2bo3b2o6b
2o2b5o5b2ob2obo47b2o8b3o9b3o8bo2bo2bo6b2ob2ob2o5bo3bo16bo9bob2obo7b3o
b3o6b2o5bo2b3o2bo4bobob2obobo9b3o3b3o27bo5bo9b6o11b2o9b4o25b4o7bob2ob
2ob2obo8bo6bo8bo6bo8b2o10bo8bo3bo10b4o12b2o5b2o10bobo5b2o2bobo2b2o7bo
b2obo10bo5bo8bobo2bo2bobo5bo6bo43bo5b2o3b4ob2o$6bobo3bo5b2ob4o3bo8bob
3ob6ob6ob3obo5b5obobo2bo3bo2bobobo12b2o2b2o2b2o9bo12b2ob3obo45b2o8b3o
11bo9bo2bo2bo7bo4bo26bobo8bo4bo6bo7bo4bob2o5b7o23bob3ob3obo25bobo3bob
o26b2o9b3o6b2ob2ob2ob2o6b3o2b3o8b2o2b2o12bo4bo10bo4bo10b2o8bo7b4ob4o6b
3o2b3o9bo2bo3bo2bo8b2o27b2o10b2o7b2o7b3obob3o6bo6bo45bo3bo2bo6b2o$4b2o
2bobobo5bob3ob3ob2o6b2o4bobo2bo3bo2bobo4b2o6bobobobobo3bo3bobo3b2o7b2o
b3o2b3ob2o8bo4b2o6bob2obo47b2o8b3o9b3o10b3o10bo2bo27bobo7b2ob2ob2o8bo
bo15b2ob3ob2o7bo2bo9b3o2b5o2b3o23b2obobob2o8b6o12bo11bo6b2ob3ob3ob2o5b
ob4obo7b2ob2ob2o10bo6bo6bo2bo4bo2bo7bo9bo8bo5bo7bob4obo9b3o5b3o8bo41b
2o5b2o8b2o2bo2b2o5bo2bo2bo2bo43bobo5bo3bo2b2o$4bobobo2b2o8bob5o9bob3o
bo3b2ob2o3bob3obo5bo2b2ob2o7b2o3bo2bo9bob2obo2bob2obo7bo4bo12b3o45b2o
8b3o11bo10bobobo8bo4bo37bob2obo8b2ob2o6b3o6bob3obo4b4o4b4o12bo30b2obo
bob2o6b3ob2ob3o8b2o11bobo6bo2bo3bo2bo6bo6bo8bob2obo13bo2bo8b2o8b2o5b2o
9b4o5b2obobob2o6bo6bo6b6o2bo2b6o4b2o27b4o9bobo5bobo8bo5bo5b2obob2obob
2o47b2o2b2obo2b2o$4b2o5bo10b8o6bob4obobo7bobob4obo8bo4bo6b3ob2o11b2o3b
o2bo3b2o6b3o65b2o8b3o9b3o10b3o6b3o6b3o33b2o4b2o7bo3bo7bo6b2ob3ob2o4b3o
b2ob3o6b4o3bo3b4o22bo2bo3bo2bo6bo6bo9b3o9bobo9bobobobo8bo6bo7b2o4b2o11b
6o7bo2bo4bo2bo5b3o8bo11bobo9bo6bo13bobo10b2ob2o21b2obo4bob2o4b2ob3ob3o
b2o9bobo8b2o2b2o2b2o48bob3o2bobo17b5o$3bo3bo3bobo10bo2b2o8bo3bo2bo9bo
2bo3bo8b2o2b3o9bo12bobo10bobo6bo17b3o45b2o8b3o11bo10b5o6b2ob4ob2o60b2o
7bo2bo2bo5b2ob4ob2o6b2o5bo5b2o21bob2o5b2obo5bob4obo9b2o11b2o8bo2bobo2b
o6bobo4bobo6bobo2bobo11b2o2b2o12b2o10b2o10bo8bobobobo6bobo4bobo5b2obo
2b5o2bob2o4bob3o21b2o2b2o2b2o6bo2bo3bo2bo10bobo72bo18bo2b5o19b5o$4bo2b
o2bobo14b3o6bo2b2o17b2o2bo12bo7b2o16bobo6bobo27bo47b2o8b3o9b3o10b3o8b
o2b2o2bo63bo5bobobobobo7bo2bo11b2o3bo3b2o24bo2b2ob2o2bo7bo4bo22b3o10b
2ob2o7b4ob2ob4o3b2o8b2o10bo2bo12b4o9bo17bo2bobobobo2bo2b4ob2ob4o6b2o3b
obo3b2o5b2o5bo18b2obob2obob2o4b2obobobobob2o9bobo9bob4obo54bobo15bo9b
o16bo2b5o$3bo5bo3b2o13bo8bo23bo21bo17bo2bo4bo2bo8bo65b2o8b3o11bo10b5o
6b2ob4ob2o70bo3bo6b2o6b2o7bobobobobobobo25bo2bo2bo8b8o9b2o20b2obobobo
b2o5bo3b2o3bo5b2o6b2o28b2o12bo8b2o5b4o5b4o3bo3b2o3bo8b3ob3ob3o8bo3bo21b
2o4b2o7bob2o3b2obo21b3ob2ob3o50b3ob2o13bo2bobo2bob2o15bo9bo$10bob2o22b
2obo19bob2o39bo8bo76b2o8b3o9b3o10b3o8bo2b2o2bo70bob3obo4b4o4b4o6b3obo
bobob3o24bob5obo7bo6bo8b4o24bo9bo2b6o2bo3bo10bo11b2o13bo2bo10b2o7b4o5b
o9bo3bo2b6o2bo7b2o3bo3b2o7bob2ob2o19b3ob2ob3o5b2obo5bob2o23bo2bo53bo2b
o13b2obo3bo3b2o15bobobo2bob2o$11bo2bo25bo17bo128b2o8b3o11bo10b5o6b2ob
4ob2o68b9o4bo8bo8bob7obo26bob3obo7b4o2b4o8b2o24b3o9bob2o2b2obo43b2o10b
ob2o18b2ob2o7bob2o2b2obo9bo3bo3bo13bo20bob6obo6bo2b2ob2o2bo21b2ob4ob2o
50b3o14bo3b2o3b3o15bo4bo3b2o$188b2o8b3o9b3o10b3o8bo2b2o2bo70bo2bo2bo4b
o2bo4bo2bo4b3o2bo2bo2bo2b3o23b7o8bobo2bobo8b4o23b3o9b2o6b2o54bo2bo7b4o
9bobo8b2o6b2o8b2obobobob2o6b3o3bo19b2o8b2o4b5o3b5o22b2o2b2o67bobobobo
2bo2bo17b3o3b3o$11bobo173b2o8b3o11bo10b5o6b2ob4ob2o68b3o3b3o4b2o6b2o5b
4obob3obob4o25bobo10bobo2bobo33b7o72bo10bobo5b5ob5o23bo3bo3bo8bobo23b
4o2b4o6bobobobobobo25b2o68b3ob4ob4o16b2o4bo2bo$188b2o8b3o9b3o10b3o8bo
2b2o2bo70bob3obo4bob2o4b2obo4b3o4b3o4b3o37bo8bo30b2obobobob2o8b4o58b4o
7b4o5bo7bo8b4o12bo3bo3bo7bob2o23b2obo2bob2o5b2ob2o3b2ob2o23b4o68bo2b2o
2bo2bo14b2o2bob2ob3o$187b2o8b3o11bo10b5o6b2ob4ob2o68b2o5b2o22b4obob4o
38b2ob2o4b2ob2o29bobo3bobo8bob2obo58b2o16b2o2bobo2b2o6bob2obo11b2ob3o
b2o36bo4bo8bobobobobobo21b3o4b3o64bobo5bobo14bobobo6bo$188b2o8b3o9b3o
10b3o8bo2b2o2bo72bobo6b3o6b3o4bob2obo5bob2obo22b9o5bo3b4o3bo29bobo5bo
bo8bo2bo59b3o33bo2bo11b2o7b2o7b2o25bob4obo6b2o2bo3bo2b2o91bo3bo4bo2bo
16bob2o3bobo16b2o$187b2o8b3o11bo10b5o6b2ob4ob2o69b7o5bo8bo5bo2b5ob5o2b
o22bobobobobo5bobo6bobo46b2ob2ob2o58bo16bobo5bobo5b2ob2ob2o10b2ob3ob2o
10b3o21bo2bo2bo2bo6bo3bobo3bo23bob2obo61b2obob2o2bob2obo14bo5bo3bo14b
3ob2o$188b2o8b3o9b3o10b3o8bo2b2o2bo71bo3bo5b2o8b2o3bo3bo9bo3bo20b2obo
bobob2o8bo2bo51bob2obo34b2o20bobo9b4o4bo9bo6bob2obo10bobob3obobo7b2o25b
o6bo6b2ob2o3b2ob2o22b2o2b2o61b2o2bo3bo19bo2bobob2obo2bo8bob3obo3bo$187b
2o8b3o11bo10b5o6b2ob4ob2o82bo6bo6b2ob3o5b3ob2o22bo2b3o2bo7b8o48b8o33b
2o21b2o10b2o4b4o5b4o4b8o10b2o2bo2b2o9bob3o20bo2b4o2bo6bobo5bobo25b2o61b
2o3bo4b2o16b3o6b2ob2o12b3o5b2o$188b2o8b3o9b3o10b3o8bo2b2o2bo98bobobo5b
obobo23bo3bo3bo8bo4bo50bo4bo68bo2bo21bo4bo11b2o2bo2b2o8bob2o21bo3bo2b
o3bo4b2o9b2o22bo4bo59bob3o5bo16bo3b2obo2bo3bo9bob3ob2o4bo$187b2o8b3o11b
o10b5o6b2ob4ob2o101bo5bo30b3o8b2obob2obob2o48bo2bo33bo26b2o8b2o4b3o7b
3o6bo2bo13bob3obo10bo2bo21b3ob2ob3o6bob2o3b2obo22bo6bo57bo2b3obo3b2o15b
3ob2obob2obo10b6obobob2o$188b2o8b3o9b3o10b3o8bo2b2o2bo101b3o3b3o28b2o
b2o8bo3b2o3bo48bob2obo33b5o20bob2o6b2o6b3o5b3o6bob2obo11b2o2bo2b2o8b2o
27bo2bo8b2ob2o3b2ob2o21b2o4b2o60b5o2b2o15b2o2bob3o3bo10b5o2bob2o2bo$187b
2o8b3o11bo10b5o6b2ob4ob2o99bob2o3b2obo27b2ob2o7bobo6bobo46b2o4b2o31bo
27bo7bobo4b6ob6o4b2o4b2o14bo15b3o22b2o2b2o8bo2b2ob2o2bo21bo2bo2bo2bo52b
2o4bo7bo15bob2o3bobob2o10bobo4bobo2b3o$188b2o8b3o9b3o10b3o8bo2b2o2bo103b
o3bo29bob3obo10bo2bo51b2o2b2o34bob2o19b2o2bo6b4o5b4ob4o7b2o2b2o13b2ob
2o13b2o22bo6bo6b2ob2o3b2ob2o21bo6bo52b2ob3o2b3o25bo5bo12bob3o2bob4o$187b
o9bobo22bobobo6b2ob4ob2o99b4o3b4o26bo2bo2bo6b2o2b4o2b2o45bo2bo2bo2bo55b
2o10b2o8bo3bo7bo2bo2bo2bo53bo6bo7bobobobobobo21bo2b4o2bo51bobobo4bo20b
obo2b2o17bo2bo6b4o$189b2o7bo11b3o10bobo8bo6bo101b3o3b3o26b2ob3ob2o7bo
b4obo47b3o4b3o31bobo20bo2bo31b3o4b3o12bobo14bo24bob2obo7b2ob2o3b2ob2o
24b2o56bobo2bob3o18bobob2obo15b4obo3bob3o$190bo7bo11b3o20b2ob4ob2o98b
o2bo5bo2bo27b3o10bo6bo46b2obo4bob2o56b2o29b2obo4bob2o11bobo15bo22bo2b
2o2bo7bo2bo3bo2bo25b2o56bo3bobo24bobobo12b2o4bo5bob2o2bo$188b2obo4b2o
b2o9b3o21b2o4b2o101b3o3b3o26bo3bo3bo8bob2obo48bob2o2b2obo31b4o20bobo9b
3o19bob2o2b2obo11b5o39bo2bo8b3o7b3o24b2o57b4o19b3o4bobo14bo2b3o4b3ob3o
11b2o$197bo9bo2b3o2bo17bob6obo100bo7bo26bobobobobo7b2o4b2o48bo6bo33b2o
23b2o7b4o20bo6bo13bobo38bobo2bobo43b2o54b3o2bob2o17bob4o17bobobob2o6b
3o9b3ob2o$187b2o2bo4b2obo8b7o19b2o4b2o135b2obo3bob2o7b6o50bo4bo35b2o32b
4o20bo4bo58b2o42b2obo2bob2o51bobo3bo17bobo6b2o12b4o5bob2obobo6bob3obo
3bo$188b4o5bo2b2o5b2ob3ob2o16b2obo4bob2o134bo3bo3bo7b2o4b2o51b2o37bo21b
3o11bo23b2o58bo4bo40bo2bo2bo2bo51bo2bobobo14bo3bo2b2o2b2o10bobobo6b2o
b2obo9b3o5b2o$187bobo6b2obobo6bob3obo18bo8bo137bo3bo11b4o53b2o35b2o23b
2o9b2o24b2o105bobo2bobo49bo3bo2bobo15bo3bo2bobobo10b2o4bo6bobo9bob3ob
2o4bo$188b2o17b2ob3ob2o16b2ob2o2b2ob2o136bo3bo105b3o22bo10b3o83b6o40b
2ob4ob2o46bo3bo21bo3b2ob2obo13b2o9b2obo8b6obobob2o$187bo20bo2bo2bo18b
ob2o2b2obo210b2o35b2o21b2obo9bob2o22b2o59b4o42b2o4b2o45b2obobo20bobo3b
4obo11b5o20b5o2bob2o2bo$187b2o9b3o6bobobobobo16b2ob2o2b2ob2o209b2o35b
o23b2o12bo23b2o105bo2b2o2bo46bo2bo21bo4b3o2b3o9bobo9bob2obo7bobo4bobo
2b3o$186bobo8b3o9bo3bo19bo2bo2bo2bo135b4ob4o65bo2bo36bo21bo9b3ob2o21b
o2bo58bo2bo43bo4bo50bo20bobob4o15b2o11b2ob2o8bob3o2bob4o$189b2o9bo7bo
b3obo17b2obo4bob2o134bobobobobo104b2o32b4o23b2o58b2o2b2o42b2o2b2o47bo
26bo8bo9bobo12b2o9bo2bo6b4o$188bo18b9o17bo2bo2bo2bo135b3obob3o103bob2o
19b2o9bo2bobo20b2o2b2o57bo2bo45b2o51bo25b3o4bo10b2obo10b2o8b4obo3bob3o
$186bo3bo17bo2bo2bo19b2o4b2o135bo4bo4bo101bo2bo21b2o11bo21b2ob2ob2o56b
o2bo120b3ob3o2bobo21b2o8b2o4bo5bob2o2bo$187bob4o15bo2bo2bo21bo2bo137b
obob3obobo102bo22b2o10b2ob2o20b2o2b2o105b4o71b3obob2o2bo15b2o6b4o6bo2b
3o4b3ob3o$186b2o2b2o17b2ob2o162bo2bobobobo2bo101b4o20b2o32bo2bo2bo2bo
55b4o45b2o69bo2b4ob2obo11b2obob2obo5bobo6bobobob2o6b3o11bo$187bo2b2o19b
o169b3o107b2o20b2o10b3o21bo6bo56b4o44bo2bo66b5obo2bo2bo11bo2bob2ob2ob
o2b2o7b4o5bob2obobo11bob2o$379b2obob2o105b3o20b2o10b2o20bobo4bobo54bo
b2obo42bob2obo65b2ob2obobo4bo9b4ob2ob2o3b2obo5bobobo6b2ob2obo11b2o2bo
$378b2o5b2o105bo20b2o10b3o85b4o42b2ob2ob2o64bo2bobo3b2o12bo3bo2b2o3bo
b2o5b2o4bo6bobo15bob2o$378bobobobobo102bobo22b2o94bobob2obobo38b2o2b2o
2b2o62b2o2bob2o4bo11bo3bo2bobo2b2o8b2o9b2obo12bo2bobob3o$377bo3b3o3bo
102b2o21b2o96b3o2b3o41bob2obo61bobo4bobo13b2ob2ob2ob2obo10b5o24bob2ob
ob2obo$379b7o128b2o36b2o55bo10bo104b5ob3o16b3ob2o2bo2bobo8bobo9bob2ob
o11b2o3bobo4bo$377bo3bobo3bo104b2o19b2o35bob2obo54bo2bo2bo2bo105bo4bo
2bo17b2ob2o2bo2bobo8b2o11b2ob2o12bo2bobob4o$380b5o106bob2o19b2o33b3o2b
3o53bo2bo2bo2bo40b2o2b2o58bo2b2obo2b2o13bo2bo2bob2o3b2o8bobo12b2o13bo
b2obobo2bo$378b3obob3o106bo19b2o35bo4bo57bo2bo42b2o4b2o58bo3bo2bo16bo
2b2ob7o9b2obo10b2o10bo4bo2bo2bo$188b2o8b2o8b2o3b2o6b2o3b2o150bob5obo103b
2o2bo19b2o35bo2bo57b2o2b2o106b6o3bo15bobo2bo3bo23b2o11bob3o2bo2bo3bo$
188b2o8b2o8b2o3b2o6b2o3b2o151b2obob2o104b2o21b2o34b2o4b2o55bob2obo44b
2o64bob2o13bo4b2o2bob2o16b2o6b4o9b4ob2ob2ob3o$187bo2bo6bo2bo6bo2bobo2b
o4bo2bobo2bo153bo106bo2bo21b2o32b4o2b4o53bob4obo43b2o65bobo12b2o2b2o2b
2ob4o10bobob2obo5bobo9bo2b2obobo2bobo$188b2o8b2o21b2o3b2o151b2obob2o106b
2o19b2o34bobo2bobo55bo4bo44b2o55bo4b3o3b2o10b2obo3bo2bo4b2o9bobob2ob2o
bo2b2o12bo3bob2o$209b2ob2o166b5o105bobo21b2o33bob4obo54b2o4b2o40bo6bo
52b2o3b4obo11bobobob2ob2ob2o12b3ob2ob2o3b2obo9bo4bo2bo2bo$187b4o6b4o7b
3ob3o5b3o3b3o150bo2bo2bo106b2o19b2o97b2o2b2o43bo2bo52bobobobo5bo9bobo
b2o3b2obo3bo10b2o2bo2b2o3bob2o9bob2o2bo3b3o$188bobo6bo2bo8b2ob2o7b3ob
3o152bobobo129b2o96bo4bo41b2ob2ob2o48b3obo2bobo2bo14bo2b2o2bo16bobobo
2bobo2b2o10bobob3ob2ob4o$187bo3bo4b2obobo6bo5bo5bo7bo149b3obob3o103b3o
20b2o145b2o2b2o48bo2bobo2bob2ob2o9b2o4b2obo17bo3bob2obo14b2o2b3obo4bo
$188b3o7bobo9b3o165b2o5b2o104b2o21b2o144bo4bo48b3o5bobo15b5ob2ob4o11b
ob3obo2bobo12bo3bobob2o2bob2o$209bo3bo10bo153bo2bobo2bo104bo21b2o99b2o
42b4o2b4o55bobo14bo4b2obo2bo10bo4bobobob2o13b3o4b4o2bo$211bo9b7o150bo
bo3bobo102b2obo21b2o94b2o2b2o2b2o38bob6obo46bo30bo2b3o10b2o3bob2o2b2o
12bo2bobo4bobo$187b2o8b3o9b5o7bo2bo2bo152bo3bo105b2o21b2o95b4o2b4o37b
3o2b2o2b3o41bob3o30bobo2bo8bobo5bobob2o11b2o3b3o3bobobo$188b2o8b3o9b3o
8bo2bo2bo150b3o3b3o103bo23b2o93bo3b4o3bo37bobob2obobo42bo3b2o29bo2b2o
8bobo2b2o5bo13bob2o2bob2o4bo$187b2o8b3o11bo9bo2bo2bo150b2obobob2o126b
2o95bo8bo37b4ob2ob4o40bob2o2bo28b2o13bo3bobo3bo13bobobobob2obob2o$188b
2o8b3o9b3o10b3o151bob3ob3obo101b2o23b2o93bo3bo2bo3bo37bo8bo45bob2o29b
obo8b2o2b2ob2o16b2o4bobob3obo$187b2o8b3o11bo10bobobo152bo5bo104b2o21b
2o98b4o40b4o4b4o38b3o3b2o31bo10bobobobo3b2o13bo3b2obo4b2o$188b2o8b3o9b
3o10b3o263b2o25bo97b2o94bob2o2b2o38b2o4b2o2b2o20bob2o$187b2o8b3o11bo10b
5o155bo107b2o22b4o139bo2b6o2bo40bo2bobo38bo2bob2o5bo15b4o3bo2bobo$188b
2o8b3o9b3o10b3o152bo2b3o2bo102b2o22bobo2b2o138bobo4bobo43b2o2b2o36b2o
bo3bobobobo15b3o5bobo$187b2o8b3o11bo10b5o150b4o3b4o102b2o20b2o2b3o138b
2obob2obob2o40b2o3bo39b2o4bo2bobo19b2o4b2o$188b2o8b3o9b3o10b3o152b2ob
obob2o102b2o23bobo141bob2o2b2obo41bo41b2o2bo5b3o13b2o6b2o2b2o$187b2o8b
3o11bo10b5o263b2o22bo142b2o2bo2bo2b2o38b2o3b2o36b2obobo3b3o12b4ob2o4b
2ob2o$188b2o8b3o9b3o10b3o151bo9bo101b2o22bobo142b2o6b2o40bob3o39bo3b3o
15b3o3bo5bo$187b2o8b3o11bo10b5o149b2o3b3o3b2o101b2o24b2o141bo6bo35b3o
bobo2bo35bob4o5b2o13bo4b2ob2o$188b2o8b3o9b3o10b3o151bo2bobobo2bo101b2o
22bo2b3o139b2obo2bob2o34b2obob2o38b3o6bo2b2o12bob3o2bobo$187b2o8b3o11b
o10b5o149bob2o2bo2b2obo101b2o22bob2o140bob2o2b2obo29bo3b3o2b3o37b4o4b
2obo13bo2b3o3bo2bo$188b2o8b3o9b3o10b3o152b3obob3o102b2o21b2obo141b2ob
6ob2o29b4obob3o36b3o2bo4bob2o14bob3o2bo2b2o$187b2o8b3o11bo10b5o154bob
o106b2o21bobobo140bo3b2o3bo26bob5obo3bo37b2o8bobo12b3obobob3ob2o$188b
2o8b3o9b3o10b3o263b2o25b2o139b4o4b4o26bo3bo2b2obo35b2o3bo4b4o12b2o7b4o
b2o$187b2o8b3o11bo10b5o155bo107b2o23bo2bo139bob2o2b2obo24b2obobo3b5o36b
o3bo5b2o11b5o7b2o2b2o$188b2o8b3o9b3o10b3o154b2ob2o104b2o24bobo139b3o6b
3o25b4o2b3o2bo32bo2bo2bobo5b3o11bobo7bo2b2o$187b2o8b3o11bo10b5o154bob
o106b2o22b2o2bo141bob2obo27b2ob4obo34b2o4bo2bob3ob2o13bobo8bo$188b2o8b
3o9b3o10b3o153b2o3b2o129bo142b2ob4ob2o28bo6bo35b2o2b2obo3b2o24bobo$187b
2o8b3o11bo10b5o153b5o129b2obo140b2o6b2o28bo2bobo33b6o4bobo2b2o24bo$188b
2o8b3o9b3o10b3o153bob3obo127bo2b4o178bob2o33b2o8bo28bobo$198bo24bobo154b
o3bo129b2o2bo142bo2bo29b3obo35b2ob2o7bob2o22b4o$378bobo3bobo127b2o2b2o
141b4o26b2o43bobo8bobo24b2o$377b3obobob3o126bo146b4o26bobo50b2o26b3o$
377bo2bo3bo2bo125bo3bo172bo3bo49b2o28bo$376bo3bo3bo3bo273b2o26bobo48b
2obo2bo$377b2o2bobo2b2o272bob2obo19bob2obo51bobobo$377bobo5bobo270b3o
4b3o17b3obo51bob2obo$684bo3bo53b3o$658bo2bo2bo2bo13b2ob3o55bo$659bob4o
bo12bobobob2o$657b2obo4bob2o10b2o3bo$658bo2bo2bo2bo10b2obo$657bo10bo10b
o2bo$658bob2o2b2obo13b2o$657bo10bo13bo$659bo6bo13bo$659b3o2b3o$660b6o
$661b4o$660b6o$659bo6bo2$660b2o2b2o!

Logical width-22 true-period c/2o failed, with no results on even, odd, or asymmetric symmetries (using rlifesrc).

I currently have two unofficial names for this rule: Tessaron Mark II and Harbin:
- the first name is due to an earlier unpublished rule of mine called Tessaron Mark I
- the second is the name of a city in China and is chosen due to it looking similar to the string encoding the birth conditions for this rule

I am wondering about others' opinions on these names.

[DroneBetter]

shortest w11o c/11 (Cole's page said w10e was more promising than w9o, maybe w12e will lead to a smaller one)

Code: Select all

x = 11, y = 130, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
b2o5b2o$b2o5b2o2$4o3b4o$b2o5b2o$4o3b4o$3bo3bo$ob2o3b2obo$bo2bobo2bo$b3o3b3o2$b3o3b3o$bo3bo3bo$bobo3bobo$4bobo2$bo2b3o2bo$2b3ob3o$2bo5bo2$5bo$3b5o2$5bo$3b5o$5bo$2b2obob2o$2b2obob2o$2b7o$4bobo$b3obob3o$2b2obob2o$bo2b3o2bo$2b2obob2o$2b2obob2o$3bo3bo$4b3o$4b3o$5bo$4b3o$b2o2bo2b2o$2bob3obo$2bob3obo$2b2obob2o$5bo$5bo$2bo2bo2bo$3bobobo$2b2obob2o$2bo2bo2bo$5bo$4b3o$bob5obo$2ob5ob2o$bo2b3o2bo$4b3o$4b3o$4b3o$3bobobo$2b2obob2o$4obob4o$bobobobobo$3o2bo2b3o$3bobobo$bo2bobo2bo$3b2ob2o$2o7b2o$b2ob3ob2o$2obobobob2o$2b7o$3bobobo$4b3o3$4bobo$2b2obob2o$bo3bo3bo$bo3bo3bo$2o2bobo2b2o$2bo2bo2bo$bobobobobo$4b3o$4b3o$5bo$5bo$5bo$3bobobo$5bo$2b7o$2ob5ob2o$b2o2bo2b2o$bo3bo3bo$5bo$3b5o$5bo$2b2obob2o$b3obob3o$bobobobobo$11o$5bo$2bo2bo2bo$2b2obob2o$b2o2bo2b2o$b2ob3ob2o$b2o5b2o$2b7o$3bo3bo$bobo3bobo$2b2obob2o$b3obob3o$3bobobo$4bobo$5bo$5bo$4b3o$5bo$3bobobo$5bo$5bo$5bo$5bo$5bo$5bo$o3b3o3bo$5bo$2obobobob2o$bob5obo$b2o2bo2b2o$3bobobo$4bobo!

found over the course of several days with qfind

here it is facing rightwards (to avoid the post being too tall)

vibrant as the plumage of a particularly well-fed peacock that happens to be feeling more extravagant than usual

B34ar5inS2i3-i4-nwz5ceny6cei7e8_c11_w11o.png (17.21 KiB) Viewed 1836 times

watching this led to me checking and realising that due to its lack of S2i4et6ci8, this rule exhibits the dual of gutter preservation; any single column of on-cells over a line of symmetry cannot be broken except by an off-cell eating away at the ends. Was this an intended feature/constraint in your rulegolfing, or a positive result of the 1/2⁶-ish random chance per (human-definedly interesting) INT rule?

Edit 2024-08-31: per qfind, no c/11 w12e (which is interesting because after searching logical width 5, Cole concluded in a note on the status page that even seemed more promising than odd); longest partial

Code: Select all

x = 12, y = 139, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
5b2o$5b2o2$4b4o$2b2o4b2o$4bo2bo$2bo2b2o2bo$3bo4bo$2b2ob2ob2o$4bo2bo2$4b4o$3b2o2b2o$3bob2obo$4bo2bo$b10o$3o6b3o$bo2bo2bo2bo2$3b6o$2b2o4b2o$2b2ob2ob2o$4b4o$4bo2bo2$2b3o2b3o$2b3o2b3o$2b3o2b3o$3b6o$4bo2bo$5b2o$2bo2b2o2bo$3b2o2b2o$b2ob4ob2o$obo2b2o2bobo$b2o6b2o$ob2o4b2obo$5b2o$2o3b2o3b2o$2b3o2b3o$b4o2b4o$2b2o4b2o$4bo2bo$4bo2bo$5b2o$5b2o$4bo2bo$3b2o2b2o$4bo2bo$3bo4bo2$4bo2bo$2b3o2b3o$3b6o$2bobo2bobo2$2b8o$3bo4bo$2bobo2bobo$2b3o2b3o$2bob4obo2$b2o2b2o2b2o$b2obo2bob2o$4bo2bo$2b3o2b3o$3b2o2b2o$2bobo2bobo$b3o4b3o$bob2o2b2obo$ob2ob2ob2obo$bobo4bobo$3bob2obo$3obo2bob3o$b10o$ob2ob2ob2obo$b3ob2ob3o$2obo4bob2o$b2ob4ob2o$b10o$3bo4bo$2b2ob2ob2o$2bobo2bobo$4bo2bo$3bo4bo$2b2ob2ob2o$3bo4bo$4b4o$5b2o$4b4o2$2b2o4b2o$obobo2bobobo$bo3b2o3bo$2obob2obob2o$bo8bo$2bob4obo2$4b4o$2bo6bo$b3ob2ob3o$o3bo2bo3bo$o3b4o3bo$bo2bo2bo2bo$b2ob4ob2o2$2bobo2bobo$3b6o$4b4o$3b6o$2bobo2bobo$2bob4obo$2bobo2bobo$2bo6bo$b4o2b4o$2bobo2bobo$4bo2bo$3b2o2b2o$3bo4bo$2b8o$4b4o$5b2o$3b2o2b2o$b3o4b3o$b4o2b4o$2obob2obob2o$bobob2obobo$3bo4bo$2b2o4b2o$3bo4bo$3bob2obo$4bo2bo$2o8b2o$b2o2b2o2b2o$3bo4bo$2bo6bo$3b2o2b2o$2o2bo2bo2b2o$bo2bo2bo2bo!

no 3c/11 w15o

Code: Select all

x = 15, y = 89, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
4bo5bo$2b11o$3bo2b3o2bo$5bobobo$5b2ob2o$2b2ob2ob2ob2o$3bo7bo$2bo9bo$3bob2ob2obo$2bo3bobo3bo$2b3obobob3o$6bobo$b2o2b2ob2o2b2o$o3bobobobo3bo$o4b2ob2o4bo$b2obobobobob2o$bob2obobob2obo$6bobo$bob4ob4obo$6bobo$5obobob5o$b2o3bobo3b2o$3b3obob3o2$2b5ob5o$5b2ob2o$2b4o3b4o$3bob5obo$3b2o5b2o$5b2ob2o$4b2obob2o$4b2obob2o$3b3obob3o$2bo2bobobo2bo$3bo3bo3bo$2b4obob4o$3bo2b3o2bo$2bobob3obobo$2b3o2bo2b3o$2ob2ob3ob2ob2o$bo3b5o3bo$2bo3b3o3bo$b2obo2bo2bob2o$5bobobo$3b2o2bo2b2o$3b2o2bo2b2o$3b2o2bo2b2o$6bobo$2b3obobob3o$2b3o5b3o2$2b3o5b3o$4bo5bo$2bo9bo2$2b2obo3bob2o$b4obobob4o$b3ob2ob2ob3o$bob4ob4obo$2b2o2bobo2b2o$2b2ob2ob2ob2o$5bo3bo$5bobobo$6bobo$3bob2ob2obo$2b3obobob3o$3bobobobobo$4bo5bo2$2b2obo3bob2o$2b3o5b3o$2o2bo5bo2b2o$b2o9b2o$o3bo5bo3bo$bobob2ob2obobo$bo3b2ob2o3bo$2bo2b2ob2o2bo$2b3o5b3o$4bo5bo$b3o7b3o$2bo9bo$3ob7ob3o$3b9o$2b3o2bo2b3o$2b5ob5o$2b3ob3ob3o$2bob3ob3obo$o4bo3bo4bo$4bobobobo!

[H. H. P. M. P. Cole]

watching this led to me checking and realising that due to its lack of S2i4et6ci8, this rule exhibits the dual of gutter preservation; any single column of on-cells over a line of symmetry cannot be broken except by an off-cell eating away at the ends. Was this an intended feature/constraint in your rulegolfing, or a positive result of the 1/2⁶-ish random chance per (human-definedly interesting) INT rule?

Neither of the gutter-preserving nor anti-gutter-preserving properties were intentional in my rulegolfing of this rule, but still, it makes for a very nice property thereof.

Still a nice ship nonetheless, and I like that the two frontends resemble the p8 OMOSASL.

[hibiscus]

The name "Harbin" sounds good, especially for someone who's terrible at naming rules. But if we're naming this rule, then how about we also name the objects?

Here's some things that I think need names.
xp6_13ntog
xp8_1rr1
xp36_co972279ocz63is88si36
xq5_yhgg4ap7gjjszye86gan0l9kc1zy88kosouii2n28a65zy6gwo0g0e670312zxggc8kjn73061q4331zxg5ro70pkjvzu4ew1z211
xq6_088cain3v3niac88zggnfoid080diofnggz0h1u6nnxnn6u1hz09l9gbhkkkhbg9l9zxrvh0hvh0hvrzxl3u0sps0u3lzy03bc5v5cb3zy2ldodl
xq7_4riscige02soz8miedj3t1hf6z01
xq9_4cjrq1qrjc4z0ocj4u4jcoz56jqgvgqj65
xq11_8rr8x8rr8z5pln808nlp5z0e2ag4ga2ez02c46264c2zxiiriizweeofoeez05rr4v4rr5zx1mum1z01f86v68f1zwqc0v0cqz8s0cuvuc0s8zwgo7v7ogz5n5bgfgb5n5zaekplslpkeazx1i3i1z8eh18n81he8z01016v6101zgg8qovoq8ggz03188v8813z8ebf8v8fbe8z0sv28f82vsz0kpv1p1vpkzx1iti1zx20v02z8x8v8x8z174bifib471

[confocaloid]

Currently running an ikpx2 search for period-2 orthogonal c/2, here is a partial:
[...]
There might be some reason why a spaceship of this period and speed would be impossible, though.

Width 28 completed without finding any c/2 spaceships, here is the last partial:

Code: Select all

#C depth = 29
#C breadth = 42
#CLL state-numbering golly
x = 56, y = 24, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
27b2o$25b6o$23b3ob2ob3o$22bobo6bobo$21b2obobo2bobob2o$21bo2bo2b2o
2bo2bo2$18b3ob2o8b2ob3o$16b5obobob4obobob5o$14b2obo6bo2b2o2bo6bob
2o$13b2obo9bo2bo9bob2o$11b2ob2o3bo16bo3b2ob2o$11b2obo4bob2o3bo2bo
3b2obo4bob2o$12bob2o2b2ob4ob4ob4ob2o2b2obo$8b3obob2o2b2ob2o2bo4bo
2b2ob2o2b2obob3o$6b2ob2obobob2obobobo8bobobob2obobob2ob2o$6b2o2bob
o2bo2b2ob2o2b2o2b2o2b2ob2o2bo2bobo2b2o$6b2o2bobo4bobo7b2o7bobo4bob
o2b2o$4b4o2bob2o4b2o16b2o4b2obo2b4o$3b2obo2bo4bo11bo2bo11bo4bo2bob
2o$2bo3bo2b2o3bob4o4bobo2bobo4b4obo3b2o2bo3bo$bobo5bobo7bob3o8b3ob
o7bobo5bobo$2o3b2o2bo7bobo3bo8bo3bobo7bo2b2o3b2o$obobo2b3obo5b3obo
bobo4bobobob3o5bob3o2bobobo!

# 402432 iterations (198844 problems, 319764 subproblems, 203588 solutions) completed: queuesize = 802; heapsize = 0; treesize = 246398
# 402688 iterations (199068 problems, 320052 subproblems, 203620 solutions) completed: queuesize = 602; heapsize = 0; treesize = 246431
# 402944 iterations (199286 problems, 320314 subproblems, 203658 solutions) completed: queuesize = 416; heapsize = 0; treesize = 246470
# 403200 iterations (199526 problems, 320619 subproblems, 203674 solutions) completed: queuesize = 186; heapsize = 0; treesize = 246487
# Performing backup...
# ...saved backup file ./backup_b34ar5ins2i3-i4-nwz5ceny6cei7e8_velocity_1_0_2_width_28_final.bin successfully.
# solvers invoked: trivial=11499, kissat=309362
# Adaptive widening to width 29 (treesize = 246490)

vibrant as the plumage of a particularly well-fed peacock that happens to be feeling more extravagant than usual
B34ar5inS2i3-i4-nwz5ceny6cei7e8_c11_w11o.png (17.21 KiB)

very soulful and enthralling
B34ar5inS2i3-i4-nwz5ceny6cei7e8_1c6_w17o.png (5.94 KiB)

I don't get the purpose of posting these pictures, and there is apparently no explanation. The pictures and (especially) the captions come across as noisy advertising of something that doesn't contribute to existing knowledge about the topic.

[H. H. P. M. P. Cole]

I propose we use the term 'glider' for the 6P3H1V0 ship in this rule. The name is taken from Niemiec's database, as the same ship works in 3-4 Life.

Here's some things that I think need names.
xp6_13ntog
xp8_1rr1

The xp6 is an OMOS, and the xp8 is an OMOSASL. I propose the names two-glider p6 and glider-and-block p8 as both of them are interesting objects.

In particular, the core reaction of the p6 can also be found here (see generations 12 and 18):

A blinker can slow down the spaceship:

Code: Select all

x = 11, y = 4, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
o$2o6b3o$2o$o!

[...]
xp36_co972279ocz63is88si36
[...]

For one, this xp36 has a nice 6-glider synthesis:

Code: Select all

x = 28, y = 28, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
12b4o$13b2o7$12b4o$13b2o3$o26bo$2o24b2o$2o24b2o$o26bo3$13b2o$12b4o7$13b
2o$12b4o!

I'm surprised you didn't include this tiny xq5 in this list (32P5H1V0):

Code: Select all

x = 13, y = 7, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
b2ob2ob2ob2o$2ob3ob3ob2o$bo2bo3bo2bo$3bobobobo$2bo7bo$4bo3bo$3bo5bo!

I don't think everything needs names (unless we have found a use for them). For now, I think the names 32P36 and 32P5H1V0 will do for these objects.

[confocaloid]

[...] Width 28 completed without finding any c/2 spaceships, here is the last partial: [...]

Width 29 completed without finding any c/2 spaceships, here is the last partial from the output:

Code: Select all

#C depth = 29
#C breadth = 43
#CLL state-numbering golly
x = 59, y = 24, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
29b2o$27b5o$25b2obobob2o$24bobobobobobo$22b3obobobobob3o$21b2obobo
bobobobob2o$19b2obobobobobobobobob2o$18bobobobobobobobobobobobo$
17b2obobobobobobobobobobob2o$17b2obobobobobobobobobobob2o$15b2obob
obobobobobobobobobobob2o$13b4obobobobobobobobobobobobob4o$11b3o2bo
bobobobobobobobobobobobobo2b3o$10b2obo2bobobobobobobobobobobobobob
o2bob2o$8b2obob2obobobobobobobobobobobobobobob2obob2o$8b2obo2bobob
obobobobobobobobobobobobobo2bob2o$9b2ob2o2bobobobobobobobobobobobo
bobo2b2ob2o$6b5o5bobobobobobobobobobobobobobo5b5o$4b2obo2bo5bobobo
bobobobobobobobobobobo5bo2bob2o$3b2o2bo4bob3obobobobobobobobobobob
obob3obo4bo2b2o$b2obo7bo3bobobobobobobobobobobobobobo3bo7bob2o$b2o
bobob4o2b3obobobobobobobobobobobobob3o2b4obobob2o$2b2obo3bo6bobobo
bobobobobobobobobobobo6bo3bob2o$o2b2ob2obobobo2bobobobobobobobobob
obobobobo2bobobob2ob2o2bo!

# 832768 iterations (434875 problems, 672526 subproblems, 397893 solutions) completed: queuesize = 2000; heapsize = 146; treesize = 492952
# 833024 iterations (435046 problems, 672744 subproblems, 397978 solutions) completed: queuesize = 1981; heapsize = 0; treesize = 493026
# 833280 iterations (435221 problems, 672979 subproblems, 398059 solutions) completed: queuesize = 1842; heapsize = 0; treesize = 493090
# 833536 iterations (435373 problems, 673158 subproblems, 398163 solutions) completed: queuesize = 1751; heapsize = 2; treesize = 493188
# 833792 iterations (435530 problems, 673319 subproblems, 398262 solutions) completed: queuesize = 1658; heapsize = 1; treesize = 493290
# 834048 iterations (435696 problems, 673588 subproblems, 398352 solutions) completed: queuesize = 1522; heapsize = 0; treesize = 493351
# 834304 iterations (435865 problems, 673800 subproblems, 398439 solutions) completed: queuesize = 1390; heapsize = 0; treesize = 493417
# 834560 iterations (436035 problems, 673982 subproblems, 398525 solutions) completed: queuesize = 1261; heapsize = 1; treesize = 493491
# 834816 iterations (436204 problems, 674169 subproblems, 398612 solutions) completed: queuesize = 1137; heapsize = 0; treesize = 493577
# 835072 iterations (436382 problems, 674426 subproblems, 398690 solutions) completed: queuesize = 993; heapsize = 0; treesize = 493646
# 835328 iterations (436547 problems, 674619 subproblems, 398781 solutions) completed: queuesize = 866; heapsize = 0; treesize = 493718
# 835584 iterations (436721 problems, 674882 subproblems, 398863 solutions) completed: queuesize = 735; heapsize = 0; treesize = 493797
# solvers invoked: trivial=28410, kissat=967333
# 835840 iterations (436899 problems, 675098 subproblems, 398941 solutions) completed: queuesize = 593; heapsize = 1; treesize = 493863
# 836096 iterations (437086 problems, 675318 subproblems, 399010 solutions) completed: queuesize = 448; heapsize = 0; treesize = 493931
# 5000 soups completed.
# 836352 iterations (437317 problems, 675598 subproblems, 399035 solutions) completed: queuesize = 232; heapsize = 0; treesize = 493956
# Performing backup...
# ...saved backup file ./backup_b34ar5ins2i3-i4-nwz5ceny6cei7e8_velocity_1_0_2_width_29_even.bin successfully.
# 836608 iterations (437553 problems, 675900 subproblems, 399055 solutions) completed: queuesize = 14; heapsize = 0; treesize = 493980
# Performing backup...
# ...saved backup file ./backup_b34ar5ins2i3-i4-nwz5ceny6cei7e8_velocity_1_0_2_width_29_final.bin successfully.
# solvers invoked: trivial=28411, kissat=968371
# Adaptive widening to width 30 (treesize = 493980)

The middle part is arbitrarily extensible, but actually completing it into a spaceship might be hard or impossible:

Code: Select all

x = 122, y = 69, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
53b2o$51b5o$49b2obobob2o$48bobobobobobo$46b3obobobobob3o$45b2obobobobo
bobob2o$43b2obobobobobobobobob2o$42bobobobobobobobobobobobo$40b3obobob
obobobobobobobob3o$39b2obobobobobobobobobobobobob2o$37b2obobobobobobob
obobobobobobobob2o$36bobobobobobobobobobobobobobobobobobo$34b3obobobob
obobobobobobobobobobobobob3o$33b2obobobobobobobobobobobobobobobobobobo
b2o$31b2obobobobobobobobobobobobobobobobobobobobob2o$30bobobobobobobob
obobobobobobobobobobobobobobobobo$28b3obobobobobobobobobobobobobobobob
obobobobobobob3o$27b2obobobobobobobobobobobobobobobobobobobobobobobobo
b2o$25b2obobobobobobobobobobobobobobobobobobobobobobobobobobob2o$24bob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobo$22b3obobobob
obobobobobobobobobobobobobobobobobobobobobobobobob3o$21b2obobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobob2o$19b2obobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobob2o$18bobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$16b3obobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob3o$15b
2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobob2o$13b2obobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobob2o$12bobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo$10b3obobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobob3o$9b2obobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobob2o$7b2obobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobob2o$6bobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$4b3ob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobob3o$3b2obobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobob2o$b2obobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobob2o$obobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobob3o$obobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
b2o$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobob2o$obobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob3o$obob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobob2o$obobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobob2o$obobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
o$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobob3o$obobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobob2o$obobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo$obobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobo$obobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobo$obobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobo$obobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$ob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobo$obobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo$obobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo$obobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobo$obobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobo$obobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobo$obobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobo$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo$obobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$obobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobo!

[confocaloid]

[...] Width 28 completed without finding any c/2 spaceships, here is the last partial: [...]

Width 29 completed without finding any c/2 spaceships, here is the last partial from the output: [...]

Width 30 completed without finding any c/2 spaceships. Here is the last partial from the output:

Code: Select all

#C depth = 31
#C breadth = 46
#CLL state-numbering golly
x = 60, y = 25, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
29b2o$27b6o$25b2obo2bob2o$23b2obo6bob2o$22bobob2ob2ob2obobo$21b2o
2bo8bo2b2o$21b2ob2obo4bob2ob2o$19b2obobo4b2o4bobob2o$17b2obobobobo
b4obobobobob2o$16b2o2bobo6b2o6bobo2b2o$14b2ob2o3b2o4bo2bo4b2o3b2ob
2o$14b2obobobo5bo4bo5bobobob2o$22b2o5b2o5b2o$11b3o2b3o2bo2b4ob2ob
4o2bo2b3o2b3o$9b5ob5o4bobo6bobo4b5ob5o$8bob2o2b2obobo6bobo2bobo6bo
bob2o2b2obo$7b2o4b2o2bo7b2o6b2o7bo2b2o4b2o$5b2obobo2b2o2bob2o6bob
2obo6b2obo2b2o2bobob2o$5b2obo3bo2bobob2o4b2o6b2o4b2obobo2bo3bob2o$
6b2obobo4b2ob2ob3o2bo4bo2b3ob2ob2o4bobob2o$3b3ob2o3bo2b3o2b3obo10b
ob3o2b3o2bo3b2ob3o$2b2o3b4o2b3o3b2o7b4o7b2o3b3o2b4o3b2o$2ob2obo3b
2ob2o2bo2bobo2b10o2bobo2bo2b2ob2o3bob2ob2o$2obo7bobo2b2o2bob6o4b6o
bo2b2o2bobo7bob2o$b2o2bob2ob2o2bo3bo2bob2o3b4o3b2obo2bo3bo2b2ob2ob
o2b2o!

# 1672704 iterations (879791 problems, 1331617 subproblems, 792913 solutions) completed: queuesize = 1999; heapsize = 883; treesize = 995801
# 1672960 iterations (879963 problems, 1331851 subproblems, 792997 solutions) completed: queuesize = 1999; heapsize = 755; treesize = 995880
# 1673216 iterations (880117 problems, 1332149 subproblems, 793099 solutions) completed: queuesize = 1999; heapsize = 622; treesize = 995967
# 1673472 iterations (880287 problems, 1332463 subproblems, 793185 solutions) completed: queuesize = 1999; heapsize = 447; treesize = 996034
# 1673728 iterations (880445 problems, 1332642 subproblems, 793283 solutions) completed: queuesize = 2000; heapsize = 302; treesize = 996111
# 1673984 iterations (880612 problems, 1332832 subproblems, 793372 solutions) completed: queuesize = 1999; heapsize = 140; treesize = 996181
# 1674240 iterations (880771 problems, 1333011 subproblems, 793469 solutions) completed: queuesize = 1999; heapsize = 14; treesize = 996261
# 1674496 iterations (880923 problems, 1333166 subproblems, 793573 solutions) completed: queuesize = 1914; heapsize = 0; treesize = 996349
# 1674752 iterations (881093 problems, 1333351 subproblems, 793659 solutions) completed: queuesize = 1783; heapsize = 0; treesize = 996427
# 1675008 iterations (881251 problems, 1333558 subproblems, 793757 solutions) completed: queuesize = 1687; heapsize = 0; treesize = 996526
# 1675264 iterations (881411 problems, 1333811 subproblems, 793853 solutions) completed: queuesize = 1579; heapsize = 1; treesize = 996606
# solvers invoked: trivial=53937, kissat=2276657
# 1675520 iterations (881584 problems, 1334025 subproblems, 793936 solutions) completed: queuesize = 1434; heapsize = 1; treesize = 996662
# 1675776 iterations (881759 problems, 1334207 subproblems, 794017 solutions) completed: queuesize = 1305; heapsize = 1; treesize = 996732
# 1676032 iterations (881926 problems, 1334382 subproblems, 794106 solutions) completed: queuesize = 1177; heapsize = 0; treesize = 996813
# 1676288 iterations (882099 problems, 1334648 subproblems, 794189 solutions) completed: queuesize = 1028; heapsize = 1; treesize = 996876
# 1676544 iterations (882263 problems, 1334860 subproblems, 794281 solutions) completed: queuesize = 898; heapsize = 0; treesize = 996952
# 1676800 iterations (882443 problems, 1335090 subproblems, 794357 solutions) completed: queuesize = 744; heapsize = 0; treesize = 997017
# 1677056 iterations (882624 problems, 1335300 subproblems, 794432 solutions) completed: queuesize = 614; heapsize = 0; treesize = 997089
# 1677312 iterations (882827 problems, 1335525 subproblems, 794485 solutions) completed: queuesize = 440; heapsize = 0; treesize = 997138
# 1677568 iterations (883060 problems, 1335827 subproblems, 794508 solutions) completed: queuesize = 220; heapsize = 0; treesize = 997159
# Performing backup...
# ...saved backup file ./backup_b34ar5ins2i3-i4-nwz5ceny6cei7e8_velocity_1_0_2_width_30_final.bin successfully.
# solvers invoked: trivial=53939, kissat=2278965
# Adaptive widening to width 31 (treesize = 997174)

Each next width takes roughly twice as long to search.
I will most likely interrupt the ikpx2 search at this point. To know whether there are any orthogonal c/2 spaceships in this CA, other tools probably will be necessary.

[DroneBetter]

longest 2c/5 w28e and w29o partials found with rlifesrc

Code: Select all

x = 28, y = 86, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
.......oooo.oooo.oooo.......$
......oo.o.o....o.o.oo......$
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....ooo.o.ooo..ooo.o.ooo....$
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......oo.o.oo..oo.o.oo......$
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....oo...o........o...oo....$
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...ooo.oo.oo.oo.oo.oo.ooo...$
o.oo.o.oo.o..oo..o.oo.o.oo.o$
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.........oo......oo.........$
o....ooo.ooo....ooo.ooo....o$
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....ooooo.o.o..o.o.ooooo....$
...o..oo..o..oo..o..oo..o...$
....oooo...o.oo.o...oooo....$
...o.o.ooooo....ooooo.o.o...$
..oo..o....o....o....o..oo..$
..ooo.oooo.o.oo.o.oooo.ooo..$
..oo.o...o.o....o.o...o.oo..$
....ooo.o.o..oo..o.o.ooo....$
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..o.oo...o........o...oo.o..$
.o.oo..oo.o......o.oo..oo.o.$
.oooo....o..oooo..o....oooo.$
..o.o.o...oo....oo...o.o.o..$
..o.oo.ooo.oo..oo.ooo.oo.o..$
o..o.o.o.o........o.o.o.o..o$
oo.o.oooo....oo....oooo.o.oo$
..o..o..ooo..oo..ooo..o..o..$
....oo.o.oooooooooo.o.oo....$
..ooo.o..oo......oo..o.ooo..$
oo..o...o.oooooooo.o...o..oo$
bbbbbbbo.o...oo...o.obbbbbbb$
bbbbbbbb...bbbbbb...bbbbbbbb$

Code: Select all

x = 29, y = 39, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
.........oo.......oo.........$
.......oooooo...oooooo.......$
........o.o.o...o.o.o........$
........o...o...o...o........$
....oooo..ooo...ooo..oooo....$
....oo.o.o..o...o..o.o.oo....$
...o.o.oooooo.o.oooooo.o.o...$
..oo.oo.o....ooo....o.oo.oo..$
.o..ooo..o.ooooooo.o..ooo..o.$
..ooo.o.o..oo.o.oo..o.o.ooo..$
o.oo.o.o..o.o.o.o.o..o.o.oo.o$
...o..o.....o.o.o.....o..o...$
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..o.ooo..oo...o...oo..ooo.o..$
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...oo.o......o.o......o.oo...$
....oo..ooo.......ooo..oo....$
....o..o..o.......o..o..o....$
....o..o..o.ooooo.o..o..o....$
.oo..oo.oo.oo.o.oo.oo.oo..oo.$
o...o....o.o..o..o.o....o...o$
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.o.....o..oo.ooo.oo..o.....o.$
......o...ooo.o.ooo...o......$
...o.o..o..ooooooo..o..o.o...$
...ooo.oooooo.o.oooooo.ooo...$
...o.oooo..o..o..o..oooo.o...$
..ooooooo...ooooo...ooooooo..$
...oo..o.o....o....o.o..oo...$
oo..o.....oo..o..oo.....o..oo$
..o..oo.....oo.oo.....oo..o..$
.ooo.ooo...oo...oo...ooo.ooo.$
bbbbbb..o.o..bob..o.o..bbbbbb$

shortest 2c/7 completion at w21o (same (non-monotonic) frontend as longest w19o partial for the front 25 rows)

(edit 2024-09-20: added w22e)

Code: Select all

x = 44, y = 89, rule = B34ar5in/S2i3-i4-nwz5ceny6cei7e8
6b4ob4o16b4o$7bob3obo18b2o$7b2obob2o18b2o$3b3o2bobobo2b3o10b2obo2bob2o$3bobobob3obobobo8b6o2b6o$2b6o2bo2b6o7b2obo6bob2o$2b3o3bobobo3b3o10bo6bo$2b3o5bo5b3o7bobob2o2b2obobo$2bo3bobobobobo3bo7bobobo4bobobo$6b2o2bo2b2o12b2obo4bob2o$4bob2o2bo2b2obo9b2o10b2o$5bo4bo4bo14b6o$6b3obob3o11bobob6obobo$10bo14b2obobo4bobob2o$6bobobobobo10b2obob2o2b2obob2o$6bobobobobo10b2obobo4bobob2o$5bo2bobobo2bo11bobob4obobo$5bob2obob2obo14bo4bo$6bobobobobo13b2ob4ob2o$5bobo2bo2bobo12bobo4bobo$3b3ob2obob2ob3o12bo4bo$3bobobob3obobobo9b3obo2bob3o$2bo2bobob3obobo2bo7b3obob2obob3o$2b2obo4bo4bob2o7bo3bo4bo3bo$bo3bo2bobobo2bo3bo6bo2b2o4b2o2bo$2b2ob2obobobob2ob2o7b2o10b2o$2b2obobo5bobob2o8bob2o4b2obo$3bobo2b2ob2o2bobo8b2o3b4o3b2o$3b5obobob5o4b2obo3bobo2bobo3bob2o$3b2obo7bob2o6bob5o4b5obo$3b3o2bo3bo2b3o7bo5b4o5bo$3b2o2bo5bo2b2o14b2o$5bo2bo3bo2bo12bo8bo$b4ob3o3b3ob4o5b2ob2o6b2ob2o$4b2o2bo3bo2b2o9bo2bo6bo2bo$bo4b2o5b2o4bo6bobobo4bobobo$5b2o2bobo2b2o11bo2b2o2b2o2bo$6b2ob3ob2o11b3o3b2o3b3o$8bobobo11b2obo2bob2obo2bob2o$6bob2ob2obo9b3ob3ob2ob3ob3o$5b2o3bo3b2o10b4o6b4o$7bo5bo$3b2ob2obobob2ob2o11bo6bo$3bo3bobobobo3bo11b3o2b3o$2bo2bobob3obobo2bo10b2o4b2o$2b2o3bo2bo2bo3b2o9bobo4bobo$b2o4bob3obo4b2o7bobob4obobo$2bobo2bob3obo2bobo$2b3obobobobobob3o9b2o6b2o$3bobo2bobobo2bobo10bo8bo$3b5o2bo2b5o10bo3b2o3bo$5b3o2bo2b3o12b4o2b4o$3bobob2obob2obobo8b5ob2ob5o$4b3o2b3o2b3o10bo2b2o2b2o2bo$3b2o4b3o4b2o8bo2bob4obo2bo$4bo2b7o2bo8bo3bob4obo3bo$4b4o2bo2b4o9bobo8bobo$3bo2bob5obo2bo7bobo4b2o4bobo$2b3obo3bo3bob3o6b3o4b2o4b3o$o6bobobobo6bo4b2o3b2o2b2o3b2o$b3o5b3o5b3o12b2o$o2b5o5b5o2bo11b2o$b2o6bobo6b2o10bo4bo$bo2b5o3b5o2bo7b3o6b3o$3b3o9b3o11b3o2b3o$4b3o2b3o2b3o10b3o2b2o2b3o$5b2obobobob2o13b8o$6bo2bobo2bo12b3o6b3o$6b2o5b2o14b8o$8bobobo15bo8bo$8bobobo17bob2obo$7b7o15bob4obo$5b2o3bo3b2o12b2obo2bob2o$4bo2b7o2bo11b10o$4bobo7bobo$5bo3b3o3bo16b2o$10bo19bo4bo$7b2o3b2o12bo2b2ob2ob2o2bo$7bobobobo13bo4b2o4bo$7bobobobo12bo2bo6bo2bo$7bo5bo12b3o2b4o2b3o$5b2obo3bob2o10b2obo6bob2o$8bo3bo13b2o2bo4bo2b2o$7bo2bo2bo12b2obo6bob2o$9bobo17b8o$26bo4bo2bo4bo$27bo4b2o4bo$26bobobob2obobobo$28b2o6b2o!