Confocal told me not to put my discoveries on the wiki directly, but to make a forum post with them for citation thereupon, here it is
(I used ikpx2 (and occasionally rlifesrc for completing some partials) for all of these, the last embed shown here took me about 1.5GiB of backups over the course of about two weeks on my 2016 2.9GHz dual-core i5 laptop, I am quite surprised by the lack of interest in this rule and assumed that all of these speeds would have been searched by these conventional methods much further than I could possibly reach on such a computer as mine)
LaundryPizza03 wrote: ↑May 18th, 2020, 6:57 pm
New 2c/5o, the ~~fifth~~ fourth unique speed in this rule.
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x = 34, y = 42, rule = B3/S12
16b2o$14bo4bo$13bo6bo$13bo6bo$7bo6bo4bo6bo$4b3ob3o4bo2bo4b3ob3o$6b2o3bo2b6o2bo3b2o$7bo3bob2o4b2obo3bo$5b6o4bo2bo4b6o$5b2o8bo2bo8b2o$6b2o18b2o$5b2ob2o4bo4bo4b2ob2o$9bo3b3o2b3o3bo$7bo2b2ob3o2b3ob2o2bo$12bobo4bobo$8b2o3bo6bo3b2o$5b2o3b2obo6bob2o3b2o$6b2o2b2obo6bob2o2b2o$7bo4b2o6b2o4bo$8bo5bo4bo5bo$7bo7b4o7bo$7b5o3bo2bo3b5o$8b3o12b3o$8bo3bo8bo3bo$4bo3b2o2bo8bo2b2o3bo$2bo2bo2b2obo10bob2o2bo2bo$bo30bo$bo30bo$2bo2b2ob3o12b3ob2o2bo$3bo5b2o12b2o5bo$b2ob2o22b2ob2o$o2bob3obo2bo8bo2bob3obo2bo$3o3bob2obo2b6o2bob2obo3b3o$8b2o4bo4bo4b2o$8bo5b2o2b2o5bo$11b4o4b4o$14bo4bo$9bo2b2o6b2o2bo$8bo16bo2$7b2o16b2o$7b2o16b2o!
This seems to indeed be the smallest even-symmetric 2c/5, but there is a much smaller odd-symmetric one that you missed
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x = 25, y = 16, rule = B3/S12
6bo11bo$3b3ob3o5b3ob3o$2bo4bo9bo4bo$6bo11bo$4bob4o5b4obo$2bo19bo$bo3bobobo5bobobo3bo$5b3obo5bob3o$o4b3o9b3o4bo$2o5bo2bo3bo2bo5b2o$11bobo$9bobobobo$8bo2bobo2bo2$7bo9bo$7bob2o3b2obo!
there is also a whimsical tagalong for it that pulls along a domino behind it, and a tagalong for that which emits heavyweight sparks (that remain behind it as stable dominoes, making it the first known puffer, I think)
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x = 51, y = 37, rule = B3/S12
6bo11bo13bo11bo$3b3ob3o5b3ob3o7b3ob3o5b3ob3o$2bo4bo9bo4bo5bo4bo9bo4bo$6bo11bo13bo11bo$4bob4o5b4obo9bob4o5b4obo$2bo19bo5bo19bo$bo3bobobo5bobobo3bo3bo3bobobo5bobobo3bo$5b3obo5bob3o11b3obo5bob3o$o4b3o9b3o4bobo4b3o9b3o4bo$2o5bo2bo3bo2bo5b2ob2o5bo2bo3bo2bo5b2o$11bobo23bobo$9bobobobo19bobobobo$8bo2bobo2bo17bo2bobo2bo2$7bo9bo15bo9bo$7bob2o3b2obo15bob2o3b2obo3$14bobo23bobo$16bo25bo$15bobo23bobo$16b2o24b2o2$16b2o24b2o3$43b4o$41bo5bo$41bo$41b2o$39b2o$41bo2bobo$38bo4bo$45bo2$40bo$42b2o!
velcrorex wrote: ↑February 1st, 2016, 1:29 pm
c/5 orthogonal:
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x = 24, y = 41, rule = B3/S12
9bo4bo$8bo2b2o2bo$7b2o6b2o$6bobo6bobo$8bobo2bobo$5bobobo4bobobo$5b2o10b2o$4bo14bo$b2o4bo3b2o3bo4b2o$3bo3b2obo2bob2o3bo$3bo6bo2bo6bo$3b2o14b2o$2b2o2b2ob2o2b2ob2o2b2o$8bobo2bobo2$7bo2b4o2bo2$8bo6bo$8b3o2b3o$7b2o6b2o$6bo2bo4bo2bo$5bo4b4o4bo$4bo14bo$9b2o2b2o$3bobo12bobo$6bo10bo$3bo4b2o4b2o4bo2$bobo3bo8bo3bobo$4bob3o6b3obo$o4b3o8b3o4bo$o2bo3bo8bo3bo2bo$bobo4bo6bo4bobo$2b3o3bo6bo3b3o$5bobo3b2o3bobo$6bobo2b2o2bobo$7b2ob4ob2o2$10b4o$9b6o$9bo4bo!
this is also reducible (minpop 184 to 126, bounding box from 24*42=1008 to 18*52=936)
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x = 18, y = 50, rule = B3/S12
6bobo$5bo2bo$4b4o$2obo2$4o5bo$2o6b3o2$2b2o3bo$4b2o3bo$9b2o$3bo5bo$6bobobo$9b2o$9b2o$8b2o2b2o$8bo2b4o$6bobo2bo$5bo4b2o$12bo$5bo6bobo$5b4ob3o2bo$6bo4b2o$13bobo$7bo2bo$8bobo$12bo$11b3o$11bo3bo$11bo4bo$11bo$11bo3b2o$11bo4bo$11bob2o$11bob3o$14b2o$13b3o3$16bo$13b2obo$12b4o$10bobob2o$12bo2b3o$9bo2bo3bo$8bob2o$7bo$7bo$8bo$7bobo!
here is a true-period (1,1)c/4 (as opposed to the natural (2,2)c/8)
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x = 39, y = 39, rule = B3/S12
14b2o$9b3ob2o$8bo3bo$12bo$5bobo5b2o$4b2o2b3o$3b3o5bo3bo$3b3obo3bo$8bo5bo$b2o6b2o$o12bo$3b2o6bo14bo$6b4o2bo2bo7b3obo$4o9b2o2bo4bo4b3o$o2bobo8bo10bob2o2bo$2o2b2o5bo5bobo$2o10bobobo3bob3o3bo$14b2o4b3obo3bo3bo$15b3o3b3obo2b4o$14bo2b2o3bo2b3o2bo2b3o$15b3obo6bo2bo2b3o$18b3o4bo2bo3bo$19b3o9bobo$12b3o5bo6b3o2b3o2bo$11bo3b2o2bo11b3o2bobo$15bo2b3o9b2o5b2o$10bo3b4o12bo$11bob2obo5bo$14bo2bo3bo2bo$20bo$13b4o3bo4bo$17bo2bo3b3o$16bo3b3o3bo$19bobo$19bo$18bob3o$19b3obo$24bo$23b2o!
and it may be extended to form a linestretcher
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x = 79, y = 64, rule = B3/S12
11bo2bobo$10b4o2bo$9b3o$13bo$5b6o3b2o$4bo4b3o3bo$9b2obo$7b2o3bo$3b3o3b3o$2b2o6b2o$b4o6bo$4b2o2b2o2b2o11b3o$2bo2bob4o2b4o7b3o$bo2b2ob3o6bo6b2obo3bo$o5bo7b2o3bo7bo2bo$o2bo2bo5bobobobobo3b2o2b2o$13b3obo2bo4bo3bo$14bo3bo7bobo2b3o$19bobo11b3o$15bo6bob2o10bo$16bo4bo7b2obo3bo$17b2o3bo3bo2bo2bo2bo$14bo4bo8bobobo2bo$13b4o5bo5b4o6b2o$12b3o2bobo9b2o4bobo$21bo$11bo2bo4b2o10b2o6b2o$12bo10bo16b2o$14b3obo3bo17bo2bo$14bo2bo3b2o17bo2b3o$14b4o2b3o2bobo5b4o4bo4bo$15bo2bobo4bo6b4ob2obo4b3o$17bo2bo2bo3bo3b2o3bo6bob3o$20bo2bo10bobo6bo2bo$19bo3bo6bo3bobobo6bo$19bo10bo3b2o$24bo9b5o6bo$21bobo7bo2bo4bo4b2o$26bo3b3o7b2o3b2o$24b2o3bo10b2o$28b2o8b2o$32bo8b2ob2o$28bo15b2o$31bob2o6b4o$29b6ob3o8bobobo$36b2o6bo4bo$45b2o4bo$45b2o$51b3o$44bo10bo3bo$45b2o4bo6b2o$53bobob3o$56bo5b4o$55bo4b4ob2o$60b2o3bo3b3o2bobo$55bo2bo12b3o2bo$64b3o3bo$73b2o$73bo2$75bo$76bo$77bo$78bo!
here is the first spaceship of what is now the fifth speed, (1,1)c/6
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x = 18, y = 17, rule = B3/S12
7b4o$9b2o2$5b3o$4bo2b3o5b2o$3bo3b3o4b2o$3b7o$3o5bob2obo$8bo2b4o$2o6bo4b3o$8b3o6bo$9bo7bo$12b5o$5bo3b3o2bo$5bo7b2o$10bob3o$5b2o5b2o!
maybe unsurprisingly (due to their relatively small sizes), all of these also work in rules
Pedestrian Flock (B38/S12) and
EightFlock (B3/S128), however not in
HighFlock (B36/S12), I'm afraid, here are some that do (I hope it is not too off-topic for the Flock thread :-)
it has a small true-period c/3 spaceship (unlike Flock, which has none known yet, and I suspect will be a great deal more difficult, maybe a non-true-period one could be more feasible)
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x = 15, y = 20, rule = B36/S12
3b3ob4o$bo7bo2bo$o3b3o6bo$7bobo$obo8bobo$6bo2bo2$6b2o$6b2o2$5bo2b2o$5b2o3bo$6bo4bo$10bo2bo$7b4o3bo$9bo$6bobo3bobo$5bo2$5bobo!
the known 4c/10 glide-symmetric spaceship's frontend, alone, is also a 2c/5 stable domino puffer, here are two 2c/5 domino eaters, and one completion into a double-puffer
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x = 35, y = 33, rule = B36/S12
4b6o4b6o5b6o$3bo6bo2bo6bo3bo6bo$6b2o8b2o9b2o$5bo2bo6bo2bo7bo2bo$4bo4bo4bo4bo5bo4bo2$4bo4bo4bo4bo5bo4bo$25bo4bo$6b2o8b2o4bob8obo$21b2o4b2o4b2o$6b2o8b2o3bo12bo$22b2o8b2o$6b2o8b2o$5bo9bo$5b3o7b3o$2bobo2bo4bobo2bo$b2o2bo5b2o2bo$obo2bo4bobo2bo$bobob2o4bobob2o$3bobobo5bobobo$o2bo3bo2bo2bo3bo$4bo9bo$3b2o8b2o$3b2o8bobo$4bo8bobo$3b2o8bobo$16bo$12bo3b2o$12b2obo$16bo2$17bo$16b2o!
and a stabilisation of two into a slightly (but unusefully) sparky spaceship
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x = 17, y = 14, rule = B36/S12
b6o3b6o$o6bobo6bo$3b2o7b2o$2bo2bo5bo2bo$bo4bo3bo4bo2$bo4bo3bo4bo2$5b7o$4b3o3b3o$7bobo$3b4obob4o$4bo2bobo2bo$5b2o3b2o!
another thing that HighFlock possesses above Flock is a small (and natural!) 3c/15 spaceship, yet until now no true-period c/5, here is one next to the 3c/15 (highly beautiful, I believe :-)
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x = 23, y = 44, rule = B36/S12
b2o15bobo$3bo2bo10b2ob2o$b4ob2ob2o5bo2bo2bo$3b2o4bo6bo2bo2bo$3b3o4bo5bob3obo$4b3o9bo5bo$4b2ob2o$5bobo2bobo$4b3o3bo2bo2$12bo$13bo$7b3o3bo$7bo4bo$7bo3bo$7bo$8bo$5b2ob2o$6b2o$3bo$2b3obo$4bobo$4bo$4bo$o2bo$b2o2$b5o$2b3o$2b2o$bo$2bo$4b2o$6bo$4bob3o$5bobo2bo$7bo2bo$7bo$6b2ob2o$6b5o$5b3o$8bo2$5bobo!
HighFlock shares Flock's (2,2)c/8, yet the (1,1)c/4 I found for it is somewhat larger (maybe it could have a lower population at higher slice widths), yet cool and bulbous-looking
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x = 30, y = 29, rule = B36/S12
9b3o$5b2ob5o$2b3o5bo3bo$bo4bo4b2o$8b2o3bo$o2b2o3b3obo3bo$o8b4o4bo$3bo9b3obo$o2bo3b3o$4o6bo6bo$ob2o3bo10bo$4bo6b4o3bo$2o2bo2b3o7bo$obo4b3o3bobob2o$bo3bo3bo2b2o3bo2b2o$3b2o5b2obob2o5bo$5bo6b2o7bobo$5b2o2b4obo2bobo$12bo2bo6bo$9bo$14b2o7b2o$14bo7b3o$14bo2bo3b3o$20bo$16b2obo3b3o$26b2obo3$24b4obo!
and it too may stretch lines (albeit only one at a time)
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x = 32, y = 31, rule = B36/S12
10b3o$6b2ob5o$3b3o5bo3bo$2bo4bo4b2o$9b2o3bo$bo2b2o3b3obo3bo$bo8b4o4bo$4bo9b3obo$bo2bo3b3o$b4o6bo6bo$bob2o3bo10bo$5bo6b4o3bo$b2o2bo2b3o7bo$bobo4b3o3bobob2o$2bo3bo3bo2b2o3bo2b2o$4b2o5b2obob2o5bo$6bo6b2o7bobo$6b2o2b4obo2bobo$13bo2bo6bo$10bo$15b2o7b2o$15bo7b3o$15bo2bo3b3o$21bo$17b2obo3b3o$27b2obo3$25b4o$30bo$31bo!
and a HighFlock (1,1)c/6 as well
Code: Select all
x = 30, y = 29, rule = B36/S12
7bobo$6b2o2bo$7b3o$6bo$5bo6b2o$10b2obo$bo2b2o2bo2bo4b2o$2obo3b4o4bo$o3b2o2b2o8bo2$5b2o5b3o2bo$7bo3bo2bo$4bob2o$5bo4bo3bo$6b2o3b2o3b3o6bo$7b2o5b2o3b3o2b3o$8b2o4bobobo3bo2bobo$15bo2bobo6bo$18b2ob2o$16bo3bobo$16b2obobo$16b2o4bo4b2o$21b2o6bo$16bo11b2o$16b2o5b5o$16b2o5bo3bo$16bo6bo$22bo$22bo!
Final remark: The minimal known Flock c/5 seemed large enough for me to try ikpx2 searching for a reduction, yet that returned only it and larger variants thereof, maybe this too would be conducive to a higher-width search
Edit (2023-12-28): Confocal combed through each of these and found that the purported true-period (1,1)c/4 (which I had in my Pedestrian Flock collection and appeared to work without deteriorating upon conversion to Flock) in fact was also a (2,2)c/8 in Flock, I have replaced it with one found in the correct census (it seems that true (1,1)c/4's in here are somewhat larger)
Here is the Pedestrian Flock one (note that changing it to Flock and back will keep the p8 central mechanism that this p4 one decays into)
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x = 20, y = 20, rule = B38/S12
12bo3bo$10bo2bobobo$9bo3bo2b2o$9bo$9bo2b3o$7b2o3bob3o$6bo8bo$5bo4bo3bo$5bo2bo5bo$2b3o5bo4b2o2bo$bo5bobo9bo$17b2o$o3b2o10b3o$b2obo12bo$4b2ob2o$bo3b2o2bo$obo2bo3bo2bo$b2o8b3o$11b2o$9b2o!
note that due to its
obo! sparks, it may act as a linestretcher
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x = 25, y = 25, rule = B38/S12
11b2ob3o$9b2o5bo$8bo$12bobo$7bo2bobo$6bo5b2o2bo$5bo2bo4b2obo$4bo2bo5bo$2bo3bobobo5bo$bo15b3o$bo2bo3bobo8b2o$o15b4o2bo$o2b3o11bo5bo$5b3o16bo$o2bo2bo10bo$o17bo$2o3b2obo2bo7bo$9bob2obo$9bobo3bo$9b3o4bo$10bo2$11bo$12bo$13bo!
Edit (2023-12-30): Add smaller c/5
