Gun Discussion Thread

[ElijahKen]

Using ElijahKen's redesign proposal for a reduction to gun_19, here's a 112x110 design for gun_19 that doesn't reduce the actual 113x99 design record but still reduces ElijahKen's original 113x112 attempt on this proposal:
<snip>
Edit 3: 108x110:

Code: Select all

x = 108, y = 110, rule = B3/S23
27b2o$26bo2bo8b2obo$26bo12bob3o$26bo2bo5b2o2bo4bo$26b2o2bo4b3obo3bobo
28b2obo$10b2o2bo12b5o3bo2bo3bo2bo27bobob3o2b3o5b3o4b2o$3b2ob2o3b4o12b
5o5bo4bobo28b3o2b2o4bob2o2b2o4bob3o$4bobo2bo17b2ob2o8bobob2o25b2o3bobo
8b3o2bo3bo2bobo$2b2o4b2ob2o12b2obobo5b2o5bo2bo23bo2b5o9bobob2o2b2o3b2o
$2bo10bo11b5o9bobob4o23b2o6b4o6b2o4b2o$bo2bo2bob2o2bo10bobo9bob3o2bo
31b3o3b2ob3o3b2obobo4b2o$2b2o3b2ob4ob2o5bob3o9bo3bo2bob2o28bo2b2o2b2ob
2o2bo2bobob2o3bo$4bo5b2obo2bo4bo2bo5bo6bo3bo2bobo22bo8bo3bo4b4obobobo
2bo$4bob3o5bo6b2o3bo3b2o2bo2b3ob2obo23bobo5bobo3bo2b2o4b4o2bob2o$9bob
3o8bo4bobo4bo2b3ob2ob2o23bobo3bobo6b2obo2bo4bobobo2bo$3bo3bo2b2o13bo
11bo8bo22bo2bobobo9b6obo4bo2b2o$5obobo2bo10bo2bo10bo3bo2b2obo23b3obo
18bo5bobo$4bobo3bo11bo12bob2o2bo2b2o23bo5b4o14bob4o2bo$4b2o2b3o2bo4bob
o4bo11bobob2o28b4o3bo15bo6b2o$3bo4b3o2bo2b2o3bo3b2o6b2o4bo30b2o3bo20bo
$3b2o5bo6bo5bo2bo5bo5bob3o26bo3bobo19b2o$2bo4bo3bo9b3obo6bob2o2bo3bo
25bobo2b2o$3bobob3obo9bobo7b2obo4bobo26bobo$8bo9b5o12bo2b2ob2o26bo19b
2o$3o4bo2bo6bobob2o13bo51b2o$8b2o6b2ob2o16b3ob2o46bo2bo$5b2o9b5o6b2obo
2b2o4bob2o49bo$5bo10b5o6bob2o3bo54bo$2b2obobo9bo2b2o9b3o10b2o47bo$2o3b
ob3o3b2o3b3o7b2obo4b2o6b2o24bo19bo$4bobo3bo2bo5bo6bo2bobo4b2o32bobo17b
o2bo$o2bo2bo2bobobo12b2o3b2o2b3o4b2o26b2o21b2o11b2o$bo2bob2o2bo2bob2o
14b2o3bo5b3o47b2o12b2o$obobo6b2obo2bo15bob2o6bo$b2obo7bobob2o15bobo18b
o$3bo7bo2bo17b2o2bo17b3o28bo$3bobo4bo3bo20b2o20bo27b3o$4b2o4b4o2b2o38b
2o30bo$14b2o2bo66b2o2bo13bo$12b2obobobob2o60bo2b2o14bobo$11bo2b2obob4o
19bo15b2o23b2o4bob6obobo$12bo3b2o23bobo13bo2b2o27b2obo2bobo2bo2b2o$13b
2o4bobo11bo7bobo13b2ob2o24b2o2b2o4b2o4bo3bo$15b4o12bobo8bo14b2ob2o23bo
2b3ob4o2bo4b4o$15bo2bobobo9b2o12b2o11bo6b2o18bo5bo3bo2bo$22bo23bobo17b
obo18b4ob2ob3ob2o4b2o$17bob3o26bo19bo20bo2b2o2bo3b3o2bo$15b5o16bobo9b
2o18b2o21bo4b3o4bobo$15b3o19b2o26b2obo21b2ob3o4b2o2bo$37bo17bo8bobobo
10b2o9bo2bo2bobobob2o$9b2o43bobob2o4bobob2o9b2o10b2o2b2ob2o$10bo18bo
24bobobobo2b2obobo$10bobo15b3o22b2obobobo5bobo2bo$11b2o14b2o2bo22bo2b
2ob4ob2obobob2o$21bobo3bo2bo10bo12bo4bo3bobo3bo23bo2b2o$14b2o11bo11bob
o13b3o2bo2bobo4b2o21b4o3b2ob2o$15bo5bobo3bo3bo8b2o4bo10b2ob4obobo30bo
2bobobo$31bo4b2o9b2o10bo4bob2o2b2o23b5o$30bo5b2o8b2o11bob3o2bob3o23bob
o7bobo$18b2o11b3o24b2obo2bobo2bobo22bo2b2obo5bo$16bo16bo2b4o22bobo6bo
5b3o11b2ob2obob2o2b3o$15b2ob2o4b3o6bobobo2bo11bo10bo2bobo2b2o3bo2bobo
4b2o3bo2bo$15b2o7bo7b2obob3o2bo7bobo8bobob2obo2b2o4b2o2bo3b3o5bo2bob3o
2bo$25bo10b2o2b3o8b2o7bob2obo2bo2b2o10b3o8b2o5b3o$39bo20bo7bo2b2o8bo4b
o9bobob2ob2obo$39bob2o18bob2o6bo9b2o2b2o9bo4bobo3bo$36b2obo2bo19b2o2bo
bo3bo8bo4bo8b2o2bobo4bo$36bo2bobo23b2obob2o10b3o10b2o2bo2bobo$37b2obob
3o3bo5bo11bobob5o5b3o3bo2b2o4b2o2bob2o$40bobo2bobobo5b2o9bo2bo2bo2bo4b
2o4bobo2bo3b2o2bob3obo$40bo4bobo2bo3b2o5bo5bobo2b2obo12b3o5bo4b2o2bo$
39b2o3b2obob2o11bo5bo4bob2o19bobo3bo2b2o$44bo2bobo10b3o8bo25b3obo3b2o$
46b2obo2b2o17b2o25bo7b2o$41bob2o4bobo2bo44bo2bo$43b5obob2obo10bo33bo2b
o$18b2o20b2o9bobob2o9b2o34b2o$19bo25b2o5b2obobo7b2o33bobobobo$14bo4bob
2o19bob3o2b2o4bobo35b2o3b3obobo$13bobo2b2obo12bo7bo3bob4obobob2o27bo7b
o2bo3bo4b2o$12bo2bo5bo11b3o7bo3bo2bo3bo4bo25bo8bobobo2bobo$12bobo4b2o
11bo2b2o3bo2b3ob4ob2o2b4o25b3o3b2obo2bo2b2obobobo$11b2obobo14b3ob2o3bo
2b3obobo3b3o2bo10bo20bo2bob2o6bo3bo$8b2o2bo2b2obo13b5o6bo3bo5bob2obo
11bo19b2obo9bob2o$7bob2o2bo3bo7bo8bo7bo2bobob2o7b2o8b3o20bobob2o7bo$7b
o8bo6b5o14bobobobo3b2o2bob2o14bobo14b3obobo4bobo$8b2ob2ob3o2bo3b2ob3o
11b5obo2b3o4bo4bo13b2o12b2obo2bo2bo3b2o$9bob2ob3o2bo3b2o2bo11bo5bob2o
2bo5b2ob2o13bo12bo2bo3b3obo$7bobo2bo3bo7b3o13b4obo3b4o4bo4bo26b2o6b2o$
7b2obo2bo3bo7bo16bobob2obobob2obo6bo16bo$10bo2b3obo26bo2bobo3b2obobobo
2bo17bo$7b4obobo29b2obo6b2o23b3o$7bo2bo5b2o27bobob2o4bobo2b2o8b2o$8b2o
bobo27b2o2bobo3bobo2bobo11b2o3bo$9bobo4bo24bo2b2obo2bobobobo2b3o12bobo
7bo$8bo2bo3bo2bo23b2o2b2o2bo3b2obo2bobo12bobo7b2o$8bobo3bob3o25b2ob2o
3bo4bo3b2o14bo6b2o$9bo4bo2b2o22bobo2b2obo6b4o17b2o$10b3obo24b3ob3obo2b
ob2o2bo2bob2o$12bob2o9b2o11bo9bo2bob3o3bobo28bo$25b2o11bob6o2bo4bo2bob
2o2bo25bobo$39bo3bobo6bobob2o2bobo26b2o$40bobo4b4obob2obob2ob2o$39b2ob
4ob4o2bo3bobo3bo$39bo7bo5b2ob4ob2o$41b2obo2b2o2bobobo3bobo$40b2ob3o3bo
bobo2b3o2bo$44bobobo2bobobo2bobo$45b2ob2o2b2obo2bob2o$56b2o!

Here is a 108x108 design at least:

Code: Select all

x = 108, y = 108, rule = B3/S23
27b2o$27b2o9b2obo$39bob3o$35bobobo4bo$34bo2bobo3bobo28b2obo5bo7bo$10b
2o2bo20bo2bo3bo2bo27bo3bobo3b3o4bobo4b2o$3b2ob2o3b4o27bobo28bobo8b4o8b
o3bo$2bobobo2bo26b2o3b2ob2o25b2o5b2o9bo2bo3bobo2bo$2b2o4b3obo14b2o11b
2o4bo23bo2b4o3bo6bo3b4obo3b2o$b2o8bobo13bo8bo2bo3bob2o23b2o6b5o2b5o3b
o$bo5bob2o2bo12bo3bo6b2o2bobo31b3o6bob3ob4o6b2o$2b3o2b2o4bob2o11bo7bo
bob4ob2o28bo2b2o12bobob2o3bo$4b3o3bo2bo2bo4bobobobobo6b2obobo2bobo22b
o8bo2b2obo2b4o3bobo2bo$5bob3o4bo5b2ob4ob2o3bo2bo2bo4bo23bobo5bobo4b3o
6bobo2bob2o$6bo2bob3o6bo6b2ob2obo2bo2bob2ob2o22b2obo3bobo6bo11b2obo2b
o$bob2o2b3o11b2o6bo6b2ob4o3bo22bo2bobobo8b8obo3b2ob2o$b2obobo2bobo24b
obo4b2obo22b4obo12b4o2bo2bo2bobo$b2o3bobob2o6bo6b2o10b3obo2b2o29b4o14b
ob4o2bo$3b3ob2o2bo2bob2ob2o6bo6bob2obob2o28b4o3bo15bo6b2o$3bobo2bo2bo
2bo3b2ob4ob2o5bo5bo30b2o3bo20bo$2b3o3bob2o6bobobobobo5bo2bo2bob3o26bo
b3obo19b2o$2bo3b2obobo7bo12bob2o2bo3bo25bobo2b2o14bo$6b2ob2o6bo3bo9b2o
bo4bobo26bobo16b2ob2o$b2o3bo3bo9bo14bo2b2ob2o26bo17bo$bo5bo11b2o15bo50b
o3bo$bo4b4o27b3ob2o45b3o$5b2o20b2obo2b2o4bob2o$5bo21bob2o3bo$b2o2bobo
9bo13b3o$b3obob3o3b2o5bo7b2obo4b2o$2o2bobo3bo2bo3bo3bo4bo2bobo6bo5bo47b
3o$3b2obo2bobobo5b3o4b2o7bo6b2ob2o21bobo20bo3bo10b2o$3obob2o2bo2bobo15b
ob2o7b2ob2o21b2o25bo10b2o$obobo6b2obob2o15bob2o5bo2b2o22bo21b2ob2o$b2o
bo7bobob2o15bobo7b2o9bo38bo$3bo7bo2bo17b2o2bo17b3o28bo$3bobo4bo3b2o19b
2o20bo27b3o$4b2o4b4o2b2o38b2o30bo$15bo2bo66b2obo14bo$12b2o3bobo2bo60b
o2b3obob4o7bo$11bo2b2obobo2bo19bo18b3o19b2o3b2ob7obobo2bo$12bo3b2obo2b
o18bobo10bob2obo4bo23b2o8b2obobo$13b2o26bobo10bo3bobo3bo21b2o9b2o3bo3b
o$15b4ob2o20bo11bo4bo4bo20bo2b3ob4o2bo4b4o$15bo2b2obo11bobo10b2o7b2o5b
2o2b2o18bo12b2o$18bo3bo11b2o10bobo8bo3bo4bobo18b4o3b2ob3o5b2o$17bob3o
12bo13bo8bo3bo6bo20bo3b2o5b3o2bo$15bo3bo28b2o8b3o7b2o21bo4b2obo3bobo$
15bo12b3o8bo25b2obo21b2ob3o2bob2o2bo$16bo11bo2bo8bo14bo8bobobo10b2o9b
o2bo2bobobob2o$9b2o15b2o10b3o13bobob2o4bobob2o9b2o10b2o2b2ob2o$10bo17b
ob2o22bobobobo2b2obobo$10bobo13b2o25b2obobobo5bobo2b2o$11b2o13bobo25b
o2b2ob4ob2obob3o$54bo4bo3bobo3bo2bo20bo2b2o$14b2o39b3o2bo2bobo4bo22b4o
3b2ob2o$14b2o19bo5bobo13b2ob4obobo30bo2bobo$30b2o3b3o4b2o15bo4bo5b2o23b
2ob2o4b2o$30bo7bo3bo6bo9bob4obobo8b2o15bo10bo$23b2o6b3o3bo9bobo8b2obo
2bo2b3obo4b5o13bo2b2obo2bo2bo$22b2o10bobob3o7b2o12bobo2bo3bo4b3ob3o8b
2ob4ob2o3b2o$24bo8b2obo4bo21bo2bo3bo8bo3bo7bo2bob2o5bo$35b2o2bobo19bo
bob2ob3o2bo5bo4bo8bo5b3obo$35bobo4b2o8bobo5bob2ob2ob3o2bo4b2o2bobo2bo
6b3obo$34b2obob2obo10b2o5bo9bo13bo11b2o2bo3bo$34bo2bo2bobo10bo7bob2o2b
o3bo24bo2bobob5o$35b2obobo2b2o17b2o2bo2b2obo10bo13bo3bobo$38bob3o2bo19b
2obobo9bo2bobo2b2o4bo2b3o2b2o$38bo4bobo20bobo4b2o8bo4bo5bo2b3o4bo$37b
2o3b2obob2o17bo2bo5bo8bo3bo8bo5b2o$45bobo9bo9bobo2b2obo9b3ob3o4bo3bo4b
o$40bo2b3obo2b2o3bobo10bo4bob2o10b5o4bob3obobo$39bo7bobo2bo3b2o4bo8bo
17b2o8bo$39bob2ob4ob2obo10b2o6b2o24bo2bo4b3o$18b2o18b3obo2bobo3bob2o7b
2o34b2o$17bo2bo20b3obob2o2bobobo45b2o$12bo4bob2o19bobo4b2o2bobobo46bo
$11bobo2b2obo20bo4bo7bob2o11bo31bobob2o$10bo2bo2bo2bo11b3o5b2o2bobo2b
obob2o3bo8bobo24b2o3b3obo3b2o$10bobob5o11bo2bo5b2o2bo2b4o3b2obo10b2o25b
o2bo3bobo$9b2obob2o14bo3bo4b2o2bobo4bo2bo2bo37bobobo2bo2bo2bo$6b2o2bo
bo3bo13bo2bo5b2o2bobo3b3o2b2o29bo5b2obo2bo2b2obo2bo$5bob2o6bo6bobo6bo
bo6bo4bob4o3bobo26b2o5bo2bob2o6bobobo$5bo6bo2b2o5bo2bo14bobobobo3bobo
b2ob2o25b2o4b2obo9bob2o$6b2obo2bo2b2o4bo3bo12b2ob2obo2b3o4bo5bo9bo22b
ob2o7bo$7bob2obo2b2o5bo2bo11bo5bob2o6bo2b3o12b2o20bobobo4bobo$5bobo2b
obo2b2o5b3o13b4obo3b2o7b3o11b2o5bo11b2o2bobo2bo3b2o$5b2obo6bo24bobob2o
bob3o4bo2b3o16bo9bo2bo3bo3bo$8bobo2bobo26bo2bo4b2ob4ob3o15b3o10b2o6b2o
$5b3o2bob3o27b2obob2o6bo2bo$5bo2bob2o2b2o27bobo7bobob2o$6b2obobo27b2o
2bobobo2bobobobobo22bo$7bobo4b2o23bo2b2obo2bobo3bo3b2o10b2o10b2o$6bo2b
o3bo26b2o2bo2b2o2b2o2bo4bo9b2o3bo5b2o$6bobo3bobob2o24bo3b2o2b2obobo3b
2o13bobo$7bo4bo2bo23bobo2bo2bo3b4ob2o17bobo$8b3obo24b3ob3obo5b2o4bob2o
16bo9bo$10bob2o9b2o11bo8bobobo3bo3bobo17b2o6bobo$23b2o11bob3ob2o4b3o3b
ob2o2bo25b2o$37bo3bobobo3b2obob2o2bobo$38bobo2bobo2bo3b2o3b2ob2o$37b2o
b5o2b2obo4bobo3bo28bobo$37bo7bo2bo2bob2obo2b2o30b2o$39b2obo2b2ob2obo5b
obo31bo$38b2ob2o4bobobobob2o2bo$44bobo2bobobo2bobo37bo$43b2ob2o2b2obo
2bob2o37bo$54b2o39b3o!

The giant sparker can almost certainly be reduced. If it is reduced by at least 5 rows, we will have an actual gun_19 reduction.
(Edit: 5 cell stator reduction)

EDIT 2: LLS found a solution! 108x99, for a 495 cell reduction:

Code: Select all

x = 108, y = 99, rule = B3/S23
27b2o$27b2o9b2obo$39bob3o$35b2o2bo4bo$35b3obo3bobo28b2obo$10b2o2bo20bo
2bo3bo2bo27bobob3o2b3o5b3o4b2o$3b2ob2o3b4o22bo4bobo28b3o2b2o4bob2o2b2o
4bob3o$4bobo2bo30bobob2o25b2o3bobo8b3o2bo3bo2bobo$2b2o4b2ob2o13bobo7b
2o5bo2bo23bo2b5o9bobob2o2b2o3b2o$2bo10bo12bo12bobob4o23b2o6b4o6b2o4b2o
$bo2bo2bob2o2bo15bo6bob3o2bo31b3o3b2ob3o3b2obobo4b2o$2b2o3b2ob4ob2o12b
o6bo3bo2bob2o28bo2b2o2b2ob2o2bo2bobob2o3bo$4bo5b2obo2bo3b2o3bobobo7bo
3bo2bobo22bo8bo3bo4b4obobobo2bo$4bob3o5bo4bo3bo3b2o2bo2bo2b3ob2obo23bo
bo5bobo3bo2b2o4b4o2bob2o$9bob3o6bo2bob4obo3bo2b3ob2ob2o23bobo3bobo6b2o
bo2bo4bobobo2bo$3bo3bo2b2o12b8o5bo8bo22bo2bobobo9b6obo4bo2b2o$5obobo2b
o6bo10bo6bo3bo2b2obo23b3obo18bo5bobo$4bobo3bo5b8o11bob2o2bo2b2o23bo5b
4o14bob4o2bo$4b2o2b3o2bo3bob4obo2bo9bobob2o28b4o3bo15bo6b2o$3bo4b3o2bo
2bo2b2o3bo3bo4b2o4bo30b2o3bo20bo$3b2o5bo7bobobo3b2o4bo5bob3o26bo3bobo
13bo5b2o$2bo4bo3bo6bo13bob2o2bo3bo25bobo2b2o12bo2bo$3bobob3obo6bo12b2o
bo4bobo26bobo15bo$8bo12bo13bo2b2ob2o26bo16bo4bo$3o4bo2bo8bobo14bo49b2o
$8b2o27b3ob2o$5b2o20b2obo2b2o4bob2o45b3o$5bo21bob2o3bo$2b2obobo23b3o$
2o3bob3o3b2o13b2obo4b2o6bo47b3o$4bobo3bo2bo7bo4bo2bobo4b2o5b3o$o2bo2bo
2bobobo5bobo4b2o3b2o2b3o4b5o22bo25b2o9b2o$bo2bob2o2bo2bob2o3b2o9b2o3bo
4b2o3b2o19b2o22bo4bo9b2o$obobo6b2obo2bo15bob2o5b5o21b2o26bo$b2obo7bobo
b2o15bobo7b3o8bo37bo2bo$3bo7bo2bo17b2o2bo7bo9b3o28bo7bo$3bobo4bo3bo20b
2o20bo27b3o$4b2o4b4o2b2o38b2o30bo$14b2o2bo66b2o2bo13bo$12b2obobobob2o
39b2o19bo2b2o14bobo$11bo2b2obob4o19bo15b3o22b2o4bob6obobo$12bo3b2o23bo
bo10bob2o2bo4bo23b2obo2bobo2bo2b2o$13b2o4bobo19bobo9b5o4bo23b2o2b2o4b
2o4bo3bo$15b4o23bo10b2ob4o2bo22bo2b3ob4o2bo4b4o$15bo2bobobo11bo11b2o7b
2o5b2o3bo18bo5bo3bo2bo$22bo12b2o9bobo8b2ob2o3b2obo18b4ob2ob3ob2o4b2o$
17bob3o12b2o12bo8bobobo6bo20bo2b2o2bo3b3o2bo$15b5o8b3o17b2o18b2o21bo4b
3o4bobo$15b3o10bobo27b3o4b2obo21b2ob3o4b2o2bo$40bo14bo2b2o4bobobo10b2o
9bo2bo2bobobob2o$9b2o16bo2b2o6bobo13bobob2o4bobob2o9b2o10b2o2b2ob2o$
10bo28b2o13bobobobo2b2obobo$10bobo15b2o23b2obobobo5bobo2bo$11b2o14bo
26bo2b2ob4ob2obobob2o$54bo4bo3bobo3bo23bo2b2o$14b2o39b3o2bo2bobo4b2o
21b4o3b2ob2o$14b2o19bo6bo14b2ob4obobo30bo2bobobo$30b2o3b3o5b2o14bo4bob
2o2b2o23b5o$23bo6bo7bo3b2o5bo9bob3o2bob3o23bobo7bobo$22b2o7b3o3bo12bo
7b2obo2bobo2bobo9bo12bo2b2obo5bo$22bobo9bobob3o7b3o11bobo6bo11bo7b2ob
2obob2o2b3o$33b2obobo2bo21bo2bobo2b2o5b2o3bo7bo2bo$36b2ob3o19bobob2obo
2b2o8b2ob2o7bo2bob3o2bo$37bobo2b2o9bo6bob2obo2bo2b2o5b3o2b3o8b2o5b3o$
34b2obob2obo11b2o4bo7bo2b2o11bo11bobob2ob2obo$34bo2bo2bobo10b2o6bob2o
6bo24bo4bobo3bo$35b2obobo2b2o17b2o2bobo3bo10bo11b2o2bobo4bo$38bob3o2bo
19b2obob2o10b3o2b3o5b2o2bo2bobo$38bo4bobo20bobob5o7b2ob2o8b2o2bob2o$
37b2o3b2obob2o17bo2bo2bo2bo8bo3b2o5b2o2bob3obo$42bo2bobo9bo9bobo2b2obo
8bo11bo4b2o2bo$41b5obo2b2o6bo9bo4bob2o9bo9bobo3bo2b2o$40b2o5bobo2bo3b
3o12bo25b3obo3b2o$38b2obob2obo2bo2bo9bobo6b2o25bo7b2o$15b2o28bo2b2o3b
2o8b2o34bo2bo$15bo23bo2bobo3b4obobo7bo35bo2bo$12bo4bob2o20b2o3bo4bobob
o46b2o$11bobo2b2obo11b3o6bobobobo2bo3bob2o11bo31bobobobo$10bo2bo2bo2bo
11bo2bo5b2obo8b2o3bo11bo23b2o3b3obobo$10bobo5bo10bo10bo2bobo2b3o3b2obo
9b3o24bo2bo3bo4b2o$9b2obob2obo11bo5bo4bo2bobob2o45bobobo2bobo$6b2o2bob
3o14bo4bo5b2obobob2o2bob2obo34b2obo2bo2b2obobobo$5bob2o4bobo7bo8bo7bob
2obobo2b5o28bobo4bo2bob2o6bo3bo$5bo3b4ob2o5bo4bo15bobobo3bo5b3o24b2o5b
2obo9bob2o$6b2ob2obo2bo4bo5bo11b3obobo2b3o4bo4bo24bo6bobob2o7bo$7bo4bo
2bo10bo10bo5bob2o7b3ob3o9bobo18b3obobo4bobo$5bobo2bobob2o5bo2bo13b4obo
2bobobo4b2o2b2o10b2o16b2obo2bo2bo3b2o$5b2ob4obobo6b3o15bobobobobo2bo3b
o4b2o9bo6bo9bo2bo3b3obo$8bobo2b2o28b2obobo2b3obo20bobo10b2o6b2o$5b2obo
3bo2bo29bo4b2o6bobo16b2o$5bo4b2o33bobo4bo2bo2bo2bo$6b2ob2o3b2o28b2obob
3o3bo2bo2bo$7bobo37bo4b3o15b2o9bobo$6bo2bo3bo2bo30b5o7bobo8b2o3bo6b2o$
6bobo3bobo2bo34bo5bob2o12bobo5bo$7bo4bobobo32b3o6bo16bobo$8b3obo36bo7b
2o18bo9bo$10bob2o9b2o52b2o9bo$23b2o61b3o!

EDIT 3: Tiny reduction to the NW corner:

Code: Select all

x = 106, y = 99, rule = B3/S23
27b2o$27b2o9b2obo$39bob3o$36bo2bo4bo26b2obo$34b2obobo3bobo24bobob3o2b
3o5b3o4b2o$10b2o2bo23bo3bo2bo24b3o2b2o4bob2o2b2o4bob3o$3b2ob2o3b4o21b
2o4bobo23b2o3bobo8b3o2bo3bo2bobo$2bobobo2bo18bo11bobob2o21bo2b5o9bobob
2o2b2o3b2o$8b5o14b3o6b2o2b2obo2bo20b2o6b4o6b2o4b2o$bobo7bobo12bo2b2o6b
3obo2b3o25b3o3b2ob3o3b2obobo4b2o$bo5bob2o2bo16bo5bobo2bobo28bo2b2o2b2o
b2o2bo2bobob2o3bo$2b3o2b2obob2ob2o11b3o5bo6bob2o19bo8bo3bo4b4obobobo2b
o$13bo2bo9b2ob2o4b2o2bobo2bobo18bobo5bobo3bo2b2o4b4o2bob2o$4bo2b3obo2b
o9b2obo7b2o2bob2obo21bobo3bobo6b2obo2bo4bobobo2bo$4b3o5b2o10bo2b2o6b2o
2bo2bobo21bo2bobobo9b6obo4bo2b2o$bob2ob2obobo13b2o8b2o2bo4b2o21b3obo
18bo5bobo$o3bobo4bo24bo6bo2bo19bo5b4o14bob4o2bo$bo4bobo2b2o8b2o12bo3bo
bo2bobo21b4o3bo15bo6b2o$3bobo2bo2b2o6b2o2bo12b2obob2ob2o21b2o3bo20bo$
5b2obo2b2o7bob2o9b5obo2bo23bo3bobo19b2o$2bob3obo2b2o4b2ob2o10bo2bo2b2o
2bob2o19bobo2b2o$2bo2b2o4bo5b3o11bob4o6bobo19bobo$b2o2bo3bobo5bo13bobo
3b3o26bo20bo$b2o3bob3o6b2o2bo7b2o2bob2o3bo45b2o$2o7bo8b3o9bobobobo2b2o
48bo$5bo2bo10bo9bo2bo51b2o3b2o$5bo2bo19bo3bo9b2o25bo17bobobo$4b2o23b2o
3b2o6b2o24bo16bobobo$bobobobo17b2o9bo5b2o24b3o15b2o3b2o$3bobob3o3b2o
10bobo5bo7b2o44bo$2o4bo3bo2bo13bo2bo10bobo45b2o12b2o$4bobo2bobobo12b2o
bob4o6bo47bo13b2o$obobob2o2bo2bob2o12bo3bo18bo$o3bo6b2obo2bo11bobobobo
16b3o$b2obo7bobob2o12bobob2o19bo26bo$3bo7bo2bobo15bo21b2o26b3o$3bobo4b
o3b3o14b2o52bo$4b2o4b4o2b2o64b2o2bo13bo$14bo3bo21bo15b2o22bo2b2o14bobo
$12b2obobobo10bo8bobo13bo2bo21b2o4bob6obobo$11bo2b2obob5o7bo7bobo14bob
o27b2obo2bobo2bo2b2o$12bo3b2o11b3o8bo15b3o24b2o2b2o4b2o4bo3bo$13b2o4b
3o22b2o18b2o16bo2b3ob4o2bo4b4o$15b4ob2o22bobo17bobo16bo5bo3bo2bo$15bo
5b2o11bo11bo19bo17b4ob2ob3ob2o4b2o$17bo4bo12b2o9b2o18b2o18bo2b2o2bo3b
3o2bo$19b3o12b2o27b2obo21bo4b3o4bobo$16bob2o33bo8bobobo10b2o8b2ob3o4b
2o2bo$15b2o35bobob2o4bobob2o9b2o8bo2bo2bobobob2o$52bobobobo2b2obobo21b
2o2b2ob2o$9b2o40b2obobobo5bobo2b2o$10bo8b2o17bo13bo2b2ob4ob2obob3o$10b
obo6b2o6b2o10bo12bo4bo3bobo3bo2bo20bo2b2o$11b2o7b3o3bo2bo7b3o13b3o2bo
2bobo4bo22b4o3b2ob2o$18bob2o3bob2o14bobo9b2ob4obobo30bo2bobo$17bob4ob
2o18b2o11bo4bo5b2o7bobo13b2ob2o4b2o$14b3obob2o13bo8bo12bob4obobo12bo
12bo10bo$14bo2b3ob2o7b2o3b3o18b2obo2bo2b3obo6bo15bo2b2obo2bo2bo$16b5o
9bo7bo10bo10bobo2bo3bo6bo12b2ob4ob2o3b2o$16bobobo10b3o3bo12bo10bo2bo3b
o7bobobo3b2o3bo2bob2o5bo$34bobob3o7b3o8bobob2ob3o2bo2bo2b2o3bo3bo4bo5b
3obo$18bo14b2obobo2bo16bob2ob2ob3o2bo3bob4obo2bo6b3obo$18bo18bo2b2o16b
o9bo5b8o12b2o2bo3bo$27b2o8bobo2b2o15bob2o2bo3bo6bo10bo6bo2bobob5o$27bo
bo4b2obob2obo17b2o2bo2b2obo11b8o5bo3bobo$27bo6bo2bo2bobo20b2obobo9bo2b
ob4obo3bo2b3o2b2o$35b2obobo2b2o6bobo10bobo4b2o4bo3bo3b2o2bo2bo2b3o4bo$
38bob3o2bo6b2o10bo2bo5bo4b2o3bobobo7bo5b2o$38bo4bobo6bo6bo5bobo2b2obo
13bo6bo3bo4bo$37b2o3b2obob2o8bobo6bo4bob2o12bo6bob3obobo$42bo2bobo10b
2o9bo14bo12bo$44b2obo2b2o17b2o13bobo8bo2bo4b3o$39bob2o4bobo2bo43b2o$
41b5obob2obo9bobo34b2o$15b2o21b2o9bobob2o8b2o35bo$15bo27b2o5b2obobo7bo
34bobob2o$12bo4bob2o19bob3o2b2o4bobo35b2o3b3obo3b2o$11bobo2b2obo9bo10b
o3bob4obobob2o27bo7bo2bo3bobo$10bo2bo5bo8bo12bo3bo2bo3bo4bo26bobo5bobo
bo2bo2bo2bo$10bobo4b2o7bo2b2o7bo2b3ob4ob2o2b4o26b2o3b2obo2bo2b2obo2bo$
9b2obobo14b4o5bo2b3obobo3b3o2bo10bo20bo2bob2o6bobobo$6b2o2bo2b2obo9b3o
3bo8bo3bo5bob2obo8bobo20b2obo9bob2o$5bob2o2bo3bo24bo2bobob2o7b2o8b2o4b
o18bob2o7bo$5bo8bo8bo3b3o10bobobobo3b2o2bob2o15b2o16bobobo4bobo$6b2ob
2ob3o2bo5b4o11b5obo2b3o4bo4bo12b2o13b2o2bobo2bo3b2o$7bob2ob3o2bo7b2o2b
o7bo5bob2o2bo5b2ob2o26bo2bo3bo3bo$5bobo2bo3bo12bo10b4obo2bo2b2o4bo4bo
26b2o6b2o$5b2obo2bo3bo10bo13bobobobobobo10bo16bo$8bo2b3obo27b2obob2obo
b3o2bo2bo14bobo$5b4obobo32bobo2bo2b2o22b2o$5bo2bo5b2o29bob3o2b3o3b3o7b
2o$6b2obobo32b2obob3o2bo4b3o6b2o3bo$7bobo4bo32bo4b3o5bo11bobo6bobo$6bo
2bo3bo2bo30b5o7bobo11bobo6b2o$6bobo3bob3o35bo5bob2o13bo6bo$7bo4bo2b2o
32b3o6bo16b2o$8b3obo36bo7b2o28bo$10bob2o9b2o63bo$23b2o61b3o!

[dbell]

I recently said in the sawtooth thread that there was no known glider gun which emitted gliders at an exact exponential rate. Happily, I was mistaken due to a confusion of the origin for counting the generations for the gliders in Cordership loops.

Dean Hickerson built the first caber tosser in 1991, which emits gliders at generations 960 * 2^N. The LifeWiki shows another one which emits gliders at generations 192 * 2^N.

Today I constructed a general caber tosser which emits gliders at any generation K * 2^N. The base object is this one which outputs on generations which are pure powers of two.

Code: Select all

#C A caber tosser which outputs gliders at generation 2048 * 2^N.
#C This uses a receding Cordership to reflect a forward glider back
#C onto the same path, and a stable splitter conduit and edge
#C inserter to duplicate the glider and send a copy towards the
#C Cordership to begin the cycle again.
#C Shifting the Cordership and the adjacent glider ahead by eight
#C cells will increase the factor in front of the 2^N by 128.
#C David I. Bell, 15 August 2026
x = 142, y = 136, rule = B3/S23
71boo3boo$69b3obobboo$68bo4bo$68bobboob4o$67boobobobobbo$68bobobobo$
68boboboo$69bo$$63bo18boo$61b3o9boo7bo$60bo12boo5bobo$59bobo18boo$59bo
bo$60bo5$44boo24boo$44boo25bo$68b3o$68bo$$64boo$64bobo$66bo$57boo7boo$
57boo$$47boboo$45b3oboo$44bo$45b3oboo$47boobbo$50bobo$46boboobobo$46b
oobobbo16boo$49bo19bo$49boo16bobo$47boobbobo13boo$46bobbobboo$47boo10$
66boo$50boo14boo$51bo22boo$48b3o23bo$15b3o30bo23bobo$72boo$13bo5bo$13b
7o12bo$15bo17boo$15bo3bo13boo$14bo17boobo38boo$15bo18b3o37bo$16bo4bo
11boboo35bobo11boo$16bo4bo11boo37boo12bo$15boobobo12bo6boo42bobo$14bob
o23boo38boobboo$15bo64boo55bo$119boo14b5o$120bo13bo5bo$120bobo12b3obbo
$79boo40boo15boboo$79boo4boo48b4obbo$b3o81boo43boo3bo3boo$o3bo25b3o15b
o81boo4b3o$boo29bo10boboboboo87bo$3booboo23bobbo8bob3oboo87boboo$5boo
25booboo6bo5boo86booboo$33bo11b4o$36bo9boo36boo$36bo14b3o30bobo42boo$
32bo3bo14bo34bo42bo$36bo15bo33boo42b3o$32bo3boo94bo$28boo3boobo$27bobb
oo3bo$26boo3bo$26boobobo$24b3obboo$23b3o$7boo13boo$7boo9boobboo$$18boo
bbo$20b3o4$15boo96boo$15boo96bo$111bobo$111boo$107bo17boo$106bobo16bo$
106bobo14bobo$107bo15boo3$99boo$100bo$100bobo$95bo5boo$93b3o$92bo$92b
oo$77boo$78bo45boo$78boboo42boo$79bobbo$80boo$95boo$95boo$$124bo$123bo
bo$104bo3boo14bo$103bobo3bo$102bobo3bo$98boobobo3bo$98boobobb4obo4boo$
102bobo3boo3bobo$98booboobobo6bo$99bobo3bob3obboo$87boo10bobo4bobbo$
87boo11bo6boo!

As an example of creating other period caber tossers, here is one for a factor of 51072, which is of particular importance for sawtooth technology.

Code: Select all

#C A caber tosser which outputs gliders at generation 51072 * 2^N.
#C This is constructed from a base period 2048 * 2^N caber tosser by
#C shifting its Cordership and nearby glider forwards by 3064 cells.
#C David I. Bell, 15 August 2026
x = 3206, y = 3144, rule = B3/S23
15b3o$$13bo5bo$13b7o12bo$15bo17boo$15bo3bo13boo$14bo17boobo$15bo18b3o$
16bo4bo11boboo$16bo4bo11boo$15boobobo12bo6boo$14bobo23boo$15bo6$b3o$o
3bo25b3o15bo$boo29bo10boboboboo$3booboo23bobbo8bob3oboo$5boo25booboo6b
o5boo$33bo11b4o$36bo9boo$36bo14b3o$32bo3bo14bo$36bo15bo$32bo3boo$28boo
3boobo$27bobboo3bo$26boo3bo$26boobobo$24b3obboo$23b3o$7boo13boo$7boo9b
oobboo$$18boobbo$20b3o4$15boo$15boo2964$3135boo3boo$3133b3obobboo$
3132bo4bo$3132bobboob4o$3131boobobobobbo$3132bobobobo$3132boboboo$
3133bo$$3127bo18boo$3125b3o9boo7bo$3124bo12boo5bobo$3123bobo18boo$
3123bobo$3124bo5$3108boo24boo$3108boo25bo$3132b3o$3132bo$$3128boo$
3128bobo$3130bo$3121boo7boo$3121boo$$3111boboo$3109b3oboo$3108bo$3109b
3oboo$3111boobbo$3114bobo$3110boboobobo$3110boobobbo16boo$3113bo19bo$
3113boo16bobo$3111boobbobo13boo$3110bobbobboo$3111boo10$3130boo$3114b
oo14boo$3115bo22boo$3112b3o23bo$3112bo23bobo$3136boo5$3138boo$3138bo$
3136bobo11boo$3136boo12bo$3148bobo$3144boobboo$3144boo55bo$3183boo14b
5o$3184bo13bo5bo$3184bobo12b3obbo$3143boo40boo15boboo$3143boo4boo48b4o
bbo$3149boo43boo3bo3boo$3194boo4b3o$3202bo$3202boboo$3201booboo$$3148b
oo$3148bobo42boo$3150bo42bo$3150boo42b3o$3196bo15$3177boo$3177bo$3175b
obo$3175boo$3171bo17boo$3170bobo16bo$3170bobo14bobo$3171bo15boo3$3163b
oo$3164bo$3164bobo$3159bo5boo$3157b3o$3156bo$3156boo$3141boo$3142bo45b
oo$3142boboo42boo$3143bobbo$3144boo$3159boo$3159boo$$3188bo$3187bobo$
3168bo3boo14bo$3167bobo3bo$3166bobo3bo$3162boobobo3bo$3162boobobb4obo
4boo$3166bobo3boo3bobo$3162booboobobo6bo$3163bobo3bob3obboo$3151boo10b
obo4bobbo$3151boo11bo6boo!

The Cordership adjustments only change the factor by multiples of 128. But that's ok since you can multiply any factor you want by a low power of 2 to make it a multiple of 128, which you can then build a caber tosser for. Then if necessary, you can append a few single gliders at the front of the output to produce the lower periods.

Note that a caber tosser is not strictly a gun, since its output isn't on regular periods and its components never repeat. But it feels gun-ish to me, so hopefully nobody minds that I posted the result here.

EDIT:

I produced a modified version of the caber tosser with its first output glider just being emitted, which makes it easier to use in placing into larger constructions.

The decoupling of Cordership and its adjacent glider has another benefit, in that twice as many periods are now natively possible. This means that for some multiplying factors of 2^N, one lower period glider can be produced by the caber tosser itself instead of having it be externally appended.

Here is the new base version of the pure powers of two caber tosser.

Code: Select all

#C A caber tosser which outputs gliders at generation 2048 * 2^N.
#C This uses a receding Cordership to reflect a forward glider back
#C onto the same path, and a stable splitter conduit and edge
#C inserter to duplicate the glider and send a copy towards the
#C Cordership to begin the cycle again.
#C Advancing the Cordership by 64 generations will will increase
#C the factor in front of the 2^N by 64.
#C David I. Bell, 16 August 2026
x = 168, y = 136, rule = B3/S23
97boo3boo$95b3obobboo$94bo4bo$94bobboob4o$93boobobobobbo$94bobobobo$
94boboboo$95bo$$89bo18boo$87b3o9boo7bo$86bo12boo5bobo$85bobo18boo$85bo
bo$86bo5$70boo24boo$70boo25bo$94b3o$94bo$$90boo$90bobo$92bo$83boo7boo$
15bo67boo$11boobobo7bo$11bobbooboobbooboo47boboo$11bo5bobo5bo45b3oboo$
12boobbo8bo44bo$16bobb3obbo46b3oboo$16b3o15boo37boobbo$34boo40bobo$4b
oo66boboobobo$72boobobbo16boo$3bo3bo67bo19bo$8bo66boo16bobo$bo7bo63boo
bbobo13boo$o4bo66bobbobboo$bobobo4bo31boo29boo$bo8bo20bo3boo5boo$bbo4b
oobo8bobbo6boobooboo$3boboob3o11b3o3bo7bo$4b3oboo4boo3boob4o3bo6boo$
14boo9boo4boobboo$31boobboo$$21bo$$92boo$76boo14boo$77bo22boo$74b3o23b
o$74bo23bobo$11boo85boo$4bo5bobboo$4bo4b3obbo$4bo4bo4bo$9b5o$10boo88b
oo$100bo$98bobo11boo$98boo12bo$110bobo$9boo95boobboo$9boo95boo55bo$
145boo14b5o$146bo13bo5bo$146bobo12b3obbo$105boo40boo15boboo$105boo4boo
48b4obbo$111boo43boo3bo3boo$156boo4b3o$164bo$164boboo$163booboo$$110b
oo$110bobo42boo$112bo42bo$112boo42b3o$158bo15$139boo$139bo$137bobo$
137boo$133bo17boo$132bobo16bo$132bobo14bobo$133bo15boo3$125boo$126bo$
126bobo$121bo5boo$119b3o12boo$118bo15boo5b3o$118boo$103boo32boo$104bo
31bobobo4bo4boo$104boboo28b3obbo4bo3boo$105bobbo33bobobo$106boo37bo$
121boo$121boo$$150bo$149bobo$130bo3boo14bo$129bobo3bo$128bobo3bo$124b
oobobo3bo$124boobobb4obo4boo$128bobo3boo3bobo$124booboobobo6bo$125bobo
3bob3obboo11bo$113boo10bobo4bobbo16bo$113boo11bo6boo15b3o!

The new line ship sawtooth is an example where the new caber tosser arrangement reduced its size.

BCNU,
-dbell