On 2023-10-31, I found
User:AforAmpere/2x2, that they had not edited since its creation on 2017-12-18, and decided to do my best at fulfilling the vision in which it was begun (adding more rows for periods with known upper bounds from
glider.dbs), then on 2024-02-23, having learned that the reason for the errors in attempting to compile it was that macOS disguises clang as gcc, I was able to use qfind with openmp, and as such began adding lower bounds also
here are some findings from my two edits thus far (for citability purposes)
firstly, the thinnest c/5, at width 9, seems also to be the smallest in the way of population, at 36 cells (down from 162 in the previously-known width-15 odd and 144 in the width-16 even I found)
Code: Select all
x = 43, y = 45, rule = B36/S125
4b3o3b3o9b3o4b4o4b4o$2b3o6b2obo5bob2o9bo2bo$bo4bo3bob2o7b2obo2bo4b2o2b2o4bo$15bo3bo10bob2o2b2obo$3bobo5bo3bo3bo3bo5bobo6bobo$3o3bo7b2o3b2o12bo2bo$obob2o2bo7bobo12bo6bo$b3obobo4bobobobobobo10b4o$3bobo6bo2bo3bo2bo11b2o$3b2o8bobo3bobo$2b2o11bo3bo11bobo2bobo$17bo12bo3b2o3bo$bo12bo2bo2bo10b2o4b2o$5bo7b3o3b3o6bo2b2o4b2o2bo$2b3o6b2obo5bob2o5bo2bo4bo2bo$b2o8bo5bo5bo6b3o4b3o$2bo2bo7b2obobob2o8bo8bo$3b2o10b2ob2o11b2o4b2o$15b2ob2o12b6o$12b5ob5o9bob2obo$12bo2bo3bo2bo$11bob2o5b2obo9b4o$10bo13bo$10b2o3bo3bo3b2o8bo2bo$13bob2ob2obo9b2o4b2o$15bo3bo10bo2b4o2bo$11bobobo3bobobo5b4o4b4o$11bo11bo6bo2bo2bo2bo$16bobo15b2o$15b2ob2o12bo4bo$33bo2bo$17bo$14b2obob2o$17bo15b4o$15bobobo13bo2bo$13bobo3bobo11bo2bo$15b5o11bo6bo$15bo3bo10bobo4bobo$15bo3bo$14b3ob3o13b2o$30bobo4bobo$17bo15bo2bo$17bo13bo6bo$17bo14bo4bo$17bo12b2o6b2o!
and a width-16 c/6 even that is 164 cells, as opposed to the width-15 odd's 131, but has a maybe perhaps slightly more sparky backend
Code: Select all
x = 32, y = 48, rule = B36/S125
5b5o8b3o6b3o$5bobobo11bo4bo$6bobo11bo6bo$18b3o6b3o$bo3bobobo3bo6bobo2bobo$obo2bo3bo2bobo2bo2b2o4b2o2bo$3bobo3bobo6b2ob6ob2o$6b3o$4b3ob3o$bo2bo2bo2bo2bo6b2o4b2o$b3o7b3o7bo4bo$o3bo5bo3bo7bo2bo2$2bo9bo8bob2obo$b3o7b3o$2b2o7b2o9b4o$3bob2ob2obo10bo2bo$4bobobobo9b8o$6bobo9b2o8b2o$4b3ob3o7bobobo2bobobo$3bobo3bobo7bob2o2b2obo$2bo9bo6b2o6b2o$b2o9b2o5b2o6b2o$bo3bo3bo3bo6bo6bo$4b3ob3o10bo4bo$4b2o3b2o6b2ob8ob2o$6b3o8b2o10b2o$4bob3obo5bo3b2ob2ob2o3bo$5bo3bo6b2o2b3o2b3o2b2o$6b3o8bob2ob4ob2obo$6b3o8bo5b2o5bo$17b3o2bo2bo2b3o$2b2obo3bob2o4bo5b2o5bo$2bo4bo4bo5bobo2b2o2bobo$3bo3bo3bo7bobo4bobo$2bo9bo5bo10bo$2bo9bo5b2o8b2o$5bo3bo8b2o8b2o$4bo5bo8bo8bo$3bo7bo8b2o4b2o$20bob4obo$19b2o2b2o2b2o$20bo6bo$20bo6bo$22b4o$21bob2obo$20bo2b2o2bo$22bo2bo!
and the thinnest even c/7, at width 16, is 42 cells, down from 100 in the width-13 odd one
found by lordloucksterCode: Select all
x = 30, y = 33, rule = B36/S125
b4o3b4o4b3o6b3o$o2bo5bo2bo3bo3b4o3bo$2bobo3bobo6bo2bo2bo2bo$5bobo10b2o4b2o$bo9bo9b2o$15bo2bobo2bobo2bo$3bo2bo2bo4bo4bo4bo4bo$bo3bobo3bo3bobo3b2o3bobo$bob2o3b2obo8b4o$3b2o3b2o6bo10bo$ob2o2bo2b2obo$o5bo5bo$3bo5bo$2bo2bobo2bo2$3b2obob2o$4bo3bo$4b2ob2o$5b3o$5b3o$3b3ob3o$4bobobo$2bo3bo3bo$2bo2bobo2bo$4b5o$6bo2$3bo5bo$3bob3obo$3b2o3b2o$3bob3obo$3b7o$4b2ob2o!
I found the minimal odd-symmetric 2c/5, at 21 cells, whose population is 334 as opposed to the width-16's 154, however it happens to bear a transient pair of dominoes (a harrowing forewarning of things to come)
Code: Select all
x = 38, y = 62, rule = B36/S125
3b3o9b3o9b6o$2b5o7b5o8bob2obo$6b2o5b2o12bob2obo$27bob2obo$8bo3bo12bo8bo$2b5o3bo3b5o5b2o8b2o$2bo2bo4bo4bo2bo7bo6bo$3bo4bo3bo4bo8bo6bo$2bobob2obobob2obobo7bobo2bobo$bo3bobo5bobo3bo7bob2obo$bo2bobo7bobo2bo4bo4b2o4bo$2b5o7b5o5b2o8b2o$6b2o5b2o$24bo10bo$6bo2bobo2bo8b2o10b2o$3bo4bo3bo4bo5b2o10b2o$4b2obo5bob2o9bo6bo$6bo7bo12bo4bo$3bo3bo5bo3bo7b2o6b2o$3bo4bo3bo4bo6bo10bo$2bo2bo2bo3bo2bo2bo4bo2b2o4b2o2bo$6bo7bo9bo2b2o2b2o2bo$2bo2bo9bo2bo6bobo4bobo$bob2ob2o5b2ob2obo2bo2bo3b2o3bo2bo$o19bo4bo2b4o2bo$bo2b3o7b3o2bo6bo6bo$3bo3b2o3b2o3bo4b2o3bob2obo3b2o$7b2o3b2o9bo12bo$bo3b2o7b2o3bo5bo8bo$2bob4o5b4obo10b2o$4bo3bo3bo3bo9b8o$4bo3b2ob2o3bo9bobo2bobo$7b3ob3o12bobo2bobo$3b2obo7bob2o7bo3b2o3bo$6bo7bo10b3o4b3o$6bo7bo9bo2bob2obo2bo$3b4o2bobo2b4o6b3o6b3o$3bobobob3obobobo5b2ob2o4b2ob2o$3bo3bobobobo3bo$5bo4bo4bo$3bo2bo3bo3bo2bo$3b5o2bo2b5o$bo2b2o4bo4b2o2bo$b2o15b2o$8b2ob2o$b2o5bobobo5b2o$6bo7bo$b2o3bo7bo3b2o2$b2o4b7o4b2o$2bo3b2o5b2o3bo$b2o2b3obobob3o2b2o$2bo2b2o7b2o2bo$2bob4ob3ob4obo$8b5o2$6bo2bobo2bo$5b3o5b3o$7b7o$7b2o3b2o2$10bo!
somewhat annoyingly, yesterday I decided to submit my edit as it was (in order to be able to close a browser tab with a LifeViewer embed and consequently free up RAM to avoid being incessantly informed of running out and having it close Golly with unsaved work open), then this morning I awoke to the completion of my approximately 4-day-long qfind search for an odd-symmetric 3c/9 at width 13 (which I had been running on-and-off, since it was on my laptop due to my other computers' engagement with other searches that will most likely be infeasible, and had shown no signs previously of slowing down), unsurprisingly negative (since most of the time, qfind searches that don't find a result early on are doomed to failure), so now I must wait until the next edit to improve these bounds
however, I noticed that the longest partial (the only one it outputted, comprised of 179 p3 rows and 73 p9 rows) also decays into a c/3 dual domino puffer (producing one pair per 3 cells), which would be the first according to the wiki (which notes only c/2 and 2c/5 to be known)
Code: Select all
x = 13, y = 252, rule = B36/S125
6bo$5b3o$3bobobobo$2bo7bo$b2o7b2o$b4o3b4o$2bobo3bobo$b3o5b3o$3obo3bob3o$ob2o5b2obo$3bo5bo2$bobo2bo2bobo$5b3o$5bobo$3bo5bo$2bo7bo$bo2bo3bo2bo$b2obo3bob2o2$2bobo3bobo$2b2o5b2o2$o2bo5bo2bo$2o9b2o$bobobobobobo$b2o2b3o2b2o$ob3o3b3obo$2bo3bo3bo$5bobo2$3bo5bo$2b2ob3ob2o$5bobo$3b2obob2o$bo2b5o2bo$2b2obobob2o$4b2ob2o$2b2o5b2o2$3bo5bo$4bo3bo$bobo5bobo$bo3b3o3bo$2bo7bo$5bobo2$4b5o$3b2o3b2o$4bo3bo$4bobobo2$2bo7bo$b2obo3bob2o$2b3o3b3o$bo3bobo3bo$2b3o3b3o$2bobobobobo$6bo$3b2o3b2o$5b3o2$2bo7bo$obo7bobo$b3o5b3o$4bo3bo$o11bo$b2o7b2o$3b2o3b2o$2bo2bobo2bo$bo2bo3bo2bo$2b3o3b3o$b3o5b3o$bob2o3b2obo$2bo2bobo2bo2$b2o2bobo2b2o$o11bo$o2bo5bo2bo$2b2o5b2o$3b2o3b2o$4b2ob2o$4b2ob2o$3b3ob3o$2bo2bobo2bo2$3bo2bo2bo$2bo7bo$2b4ob4o$2bobo3bobo$3bobobobo$2bo7bo$bobo2bo2bobo$2b4ob4o$3b7o$3b2o3b2o$2bo7bo$bo2bo3bo2bo$3b3ob3o$2b2obobob2o$5o3b5o$obob2ob2obobo$bobo5bobo$4b2ob2o2$2bobo3bobo$2bobo3bobo$4bo3bo$3bobobobo$4bo3bo$5bobo$2b2obobob2o$3bo2bo2bo$b2o2bobo2b2o$b2o2b3o2b2o$o3bo3bo3bo$2b2o5b2o$obobo3bobobo$b2obobobob2o$2b4ob4o$4b2ob2o$4bo3bo2$3b2o3b2o$2b4ob4o$3b2o3b2o2$bo9bo$bobo5bobo$2bob2ob2obo$4bobobo$2bo7bo$2bob5obo2$3b2o3b2o$3b2o3b2o$4b2ob2o$3bo5bo$2bobo3bobo2$2bobo3bobo2$3bo5bo$2bobo3bobo$3bo2bo2bo$2bo7bo$b5ob5o$4bo3bo$o2b7o2bo2$2bob5obo$4b2ob2o$4b2ob2o$5bobo$3b3ob3o3$4b5o$5b3o$6bo2$4b2ob2o$4bobobo$5bobo$3bo2bo2bo$2bo2bobo2bo$2bobo3bobo$4bo3bo$4b2ob2o$6bo2$4b2ob2o$4bo3bo$3bo5bo$3bob3obo$2b3obob3o$bo9bo$5b3o$bo9bo$6bo$6bo$4bo3bo$4bobobo$4bo3bo$3b2o3b2o$2b9o$o3b5o3bo$4bo3bo$obo7bobo$5bobo$2bo3bo3bo3$5b3o$4bo3bo$3bo5bo$3b3ob3o$4bo3bo$5bobo4$3b7o$3bo2bo2bo$2bobo3bobo$2bo3bo3bo$3bo5bo$2bo7bo$2bobo3bobo$bo9bo$bo3b3o3bo$2obo2bo2bob2o$5o3b5o$bo9bo$3bo5bo$2b3obob3o$2bo2bobo2bo2$3b2o3b2o$2bo3bo3bo$6bo$3b3ob3o$3b2o3b2o$3bobobobo$3bob3obo$2bo7bo$4bobobo$3bobobobo$3bobobobo$3bobobobo$2bobo3bobo$5bobo$obo2bobo2bobo$2bo2bobo2bo$6bo$2bo2bobo2bo$2bo2b3o2bo$3b2obob2o$6bo$6bo$2bobobobobo$2b2o5b2o$bo9bo$2o2b2ob2o2b2o$ob2o5b2obo$5bobo$2b3obob3o$2b2obobob2o$bo4bo4bo$3bo5bo$o3b5o3bo$bob2obob2obo!
apologies for its largeness, I imagine there is some smaller partial that behaves similarly
