I have a few results on the elementary side of things to share
firstly, four new speeds (each found with ikpx2)
(1,1)c/5 (and tagalong/backend variant thereof), minpop 146 and 17 half-diagonals wide (as measured by envelope trail)
Code: Select all
x = 58, y = 62, rule = B36/S245
40bo12bo$40b4o9b4o$37bobobob2o5bobobob2o$37b2o3bobo5b2o3bobo$35bob5o6bob5o$36bob2ob2o6bob2ob2o$36b2obo9b2obo$36b2o11b2o$35b3o10b3o$35bob2o9bob2o$34bo12bo$33b3o10b3o$30bo3bo8bo3bo$29bob2o9bob2o$28b2o2bo8b2o2bo$29b2ob2o8b2ob2o$26bo2b2o8bo2b2o$24b5o8b5o$25b2o2b2o7b2o2b2o2$22bo4bobo5bo4bobo$21b3o2b2o6b3o2b2o$20bo2b3o7bo2b3o$19bobobo2bo5bobobo2bo$18b3o2b2obo4b3o2b2obo$18b3obo8b3obo$20b2o11b2o$18bo2bo9bo2bo$15bob6o5bob6o$14bobo2bo7bobo2bo$13b3o10b3o$15bo12bo$14bo12bo$13bo12bo$14bo12bo$10bo3bo8bo3bo$9b4obo7b4obo$9bob3o8bob3o$8bo2bo9bo2bo$8b4o9b4o$9b3o10b3o$6bo12bo$6bobo10bobo$5b2o11b2o$4b2o11b2o2$4bo12bo$3b2o11b2o$3bo12bo$b2o11b2o$b3o10b3o$4o9b4o$3o10b3o$3o11b2o$10bobo$11b2o$11bo$10bobo$11b2o$12b2o$10bobo$11bo!
(1,1)c/6, minpop 718 and 16 half-diagonals wide (I know it appears encumbersomely long, but compare with the minimum for Life (amongst glide-symmetric spaceships) being
26 half-diagonals)
Code: Select all
x = 182, y = 183, rule = B36/S245
177b3o$178b4o$178bobo$176bob3o$173b2ob2ob2o$172bo2bo$177bo$173b2ob2o$168b2o2bobo$167bob2o4bo$169b2obo$166bo3bobo$162bo3b3obobo$161bo3bob6o$162bobobo$161b3o2bobobo$160b5o3b2o$161bo3b3o$166b2o$160b3o2b3o$156b2o3b3obo$156bob2obobo2bo$152bobo3b5o$152b2o$150b3o3b3o$150bob3o2b2obo$148bob3o3bo3bo$146b6o3b3obo$146b2o4bo4b2o$146bo4b2ob2obo$147bo4bob3o$148bo4b4o$144b2ob3o3b2o$145bo2b3o2b2o$141b3ob2o3bobo$140b2o2bo2b2o$141bo2bo2bo$139bobo3b2o$140b3ob3o$139b4o3bo$140b2o$138b2o3b3o$138bobo$138b2o$131b2obo2bobo$130b2o3bob2o$129bobo3b2o$129b3obo$131bob4o$131bobob2o$128b3ob3obo$126bobo3b2obo$125b2ob3obo$126bob2ob2o$125bob3o2$121b5o$121bobobo$118b4obo$118bobo2bobo$117b3o3b3o$115b4o2b3o$117bo2b2o$114b2ob2ob3o$114bob2ob2o$112b2obo2b2o$114bob2o2bo$110b2o2bo2b2o$114b4o$107bob2o3bo$105b8obo$105bo4bo2bo$106bob3obo$106b2o2bo$104bobo2b2o$104bobo2b2o$102b4o$106bo$101b3o$102b2o$98b2obobo$99b2obo$97b2o$97bobo$93bo2bo2bo$93bo3bo$91bobo2b2o$90bo3b3o$88b2obo2bo$87bo2bo2b2o$86b3obo3b2o$86b2o$85b2o5bo$85bobo3b2o$85bob3o2bo$83bo2bob3o$82bob2o2bo$80b2ob2o$79bo5b2o$79b2o3bo$79b2ob3o$78bo3bo$75bob3o2bo$76b2o$75bob2o$74b5o$73bo$73b3obo$71b4obo$71bo$66b4o2bo$66bob2o$66bobob2o$62bobo5bo$61bob2o5bo$61b2o3b2obobo$60bob4o$58b4o2bo2b2o$58b2o4b2obo$56b3o2b4obo$54b3o5bobo$53bob2o5b2o$52bobo8bo$53bo8bo$53bo7bo$52b3o5b2o$52bo4bo2bo$52b8o$54bob4o$54bobo$50b2o2b2o$49b4o$46bob2obo$43bob2obo$42b2o2bo$39bo2bo3b2o$39bob2o3bobo$38b3o6b3o$45bobo$37bo6bo2bo$37b3o3bob2o$40bobo$38b3obobo$37bobo3bo$36bo3bo$35b2o3bo$34bo$33b2o$32b3o$32bo$26bo2bo2bo$26b5o$26bo3b2o$22bo2bo3b2o$21bo2bo4bo$21b3o4b2o$24b3obo$20b2o6b2o$21bo2b2o$21bo$15bo4b3obo$15b2obob2o$13b2ob2o2b2o$13b2o4bo$12bob2o3bo$13b2o2bobo$14bob2obo$13b2o3bo$10bobob4o$11bob4o$10bo$8bo$7bob2o$5bo2b3o$2b2obobo$2bob2o$bo2bob2o$2b3ob2o$4o2bo$obo2bo$o2b2o$4bo$bobo!
(2,1)c/5 (which is possible here alike the (1,1)c/3, because in rules with B3 and (S5a or S4w) and not (B1 or B2), the speed limit is that (x,y)/p is possible if 2*max(|x|,|y|)+min(|x|,|y|) ≤ p, instead of the normal 2*(|x|+|y|) ≤ p without either S5a or S4w), minpop 544, envelope trail is 67 cells tall
Code: Select all
x = 106, y = 154, rule = B36/S245
97bob5o$96bob3ob3o$94b2o5b2ob2o$93bo4bo2b2ob2o$96b3o3b2obo$94bob3o3b3o$92b2o2b2o2b2o$93b2o2b3o2bo$92bobo2b4o$95bobob3o$90b3obobo2b3o$90b2o2bobo3bo$89bo2b2ob4obo$91bo2b2o2b2o$88b3o2b2o$87b2o2bobo$86b6o$88bob3o2bo$84bo4bo4bo$84bob2ob4o$85bo2b2ob2o$82b2o6bobo$85b5obo$82b2o4b2o$82b3ob2ob2o$78bo2b4o$78bob2obo2b3o$78bo3bo2bobo$78bo3b3obo2bo$76b2ob3o3b4o$76bo2b2o2b2o2bo$78bobo2bob2o$79bo6bo$76b2o2b2obobo$76bobo2b3o$80bo$78b2obobo$78bobobo$76bob2obo$75bobo2bo$74bobob3o$75bob2o$75b2o$74b2o$73b3o$72b2o2bo$73b5o2$70bob2o$68b2ob3o$67b3o$65b2o4bo$64bo3b4o$66b2o2bobo$65bo2bobo$70bo$66b2obobo$64b4obobo$63bobo2b3o$64bo$63bob3o$61b4o$62bobo$62b2o$60b2o2bo$60b3obo$60bob2o$63bo$55b4obo$55bo2b2o2bo$54bo2b3o2bo$53bo2bo3b2o$54b2o3bo$55b2obo$52bobo3bo$56bo$53bo2bo$53b3o$51bobo2bo$52bobo$51bo$53b2o$50b4o$50b2ob2o$47bo5bo$45bob3obo$42b2o3bob2obo$42b3obo4bo$42b4o4bo$40b6o$39bo4bobo$38bobo3b2o$37b2obo2bo$35bob2obo$34bob2o3b2o$34bobo2bo$33b2obobobo$33bob3obo$33bo2bobo$33b4o$30b3obo2$29bo2b2o$27b2obo2bo$30bob2o$27bo3bo$28b2o$24b4obo$23b4o2b2o$22bo7bo$23bo5bo$23bo3bobo$20bo6bo$21b2o4bo$20b3o3b2o$20b3o$22b2o$20bobo2$18bob2o$20b2o$18bob2o$19bo$18b3o2$15bob2o$16bo$16bo$16bo$14bobo$14bo2bo$13bo3bo$13b3o$14b2o$13bo$10b2o$9bo2bo$8bo3bo$7bobo2bo$7b3o$10bo$6b2o2b2o$6bo3b2o$5b3obo$4b2o2b2o$4bo3bo$5bo$5b3o$6bo$4b2o$b2obo$o2b2o$bo$2o!
4c/14 (ikpx2 only supports coprime displacement and period, this was found in the decay of a 2c/7 partial (no 2c/7 was known until now)), minpop 68 and width 12 (I have disproven their existence at width 10 with qfind)
Code: Select all
x = 10, y = 19, rule = B36/S245
4b2o$2b6o$2bo4bo$b8o$bo2b2o2bo$2o2b2o2b2o$o8bo$4o2b4o$ob2o2b2obo2$o8bo$o8bo$obo4bobo$b2ob2ob2o3$2o6b2o$2b6o$2b6o!
and now for some orthogonals found with qfind (more are documented in
User:DroneBetter/qfind results#B36/S245 (sqrt replicator rule))
true-period 2c/7 (entirely unrelated frontend from the prior 4c/14)
Code: Select all
x = 14, y = 107, rule = B36/S245
5b4o$3bobo2bobo$5b4o$5bo2bo$4b2o2b2o$2b3ob2ob3o$2b2o6b2o$3b2ob2ob2o$5b4o2$3bobo2bobo$2bo2bo2bo2bo$bo2bo4bo2bo$b2o2bo2bo2b2o$bobo6bobo$2b3o4b3o$2b2obo2bob2o$bo3bo2bo3bo$3bobo2bobo$4bo4bo$b2obob2obob2o$3ob6ob3o$2b2o2b2o2b2o$2bo8bo$2b3o4b3o$6b2o$5bo2bo$5bo2bo$5b4o2$5b4o$5bo2bo$5b4o$4bo4bo$2b2ob4ob2o$b2o3b2o3b2o$2b2ob4ob2o$3b2ob2ob2o$2b4o2b4o$4bo4bo$b2o2bo2bo2b2o$b2obob2obob2o$bo2b2o2b2o2bo$4bo4bo$ob4o2b4obo$b2o8b2o$4bo4bo$3b2o4b2o$4b2o2b2o$3b2o4b2o$2b2o6b2o$2b4o2b4o2$4b6o$3b8o$3bob4obo$4bob2obo$3bobo2bobo$3b3o2b3o$3b3o2b3o$b4o4b4o$4ob4ob4o$2o2bob2obo2b2o$5bo2bo$bo2bo4bo2bo$b2ob2o2b2ob2o$b2o2bo2bo2b2o$b5o2b5o$5ob2ob5o$4bob2obo$3bobo2bobo$4b2o2b2o$4bo4bo$6b2o$5bo2bo$3bobo2bobo$2b4o2b4o$b2o2bo2bo2b2o$5bo2bo$o3b2o2b2o3bo$bob2o4b2obo$3o8b3o2$bo4b2o4bo$3b2ob2ob2o$3b2o4b2o$2b2ob4ob2o2$4b2o2b2o$b2o2bo2bo2b2o$2bo3b2o3bo$b4o4b4o$b5o2b5o$b2o3b2o3b2o$2b3ob2ob3o$bo2bob2obo2bo$b2obo4bob2o$b4o4b4o$2obob4obob2o$bo10bo$o2b8o2bo$2o10b2o$o12bo$2o3b4o3b2o$2bob2o2b2obo$3bobo2bobo$3bobo2bobo!
minimal-width 2c/5's of each symmetry (the odd width-19 one in the middle was known to David Eppstein during his authorship of the original version of
glider.db, the even width-20 one was found by me, and I got up to width-10 for asymmetric before my laptop's 8GB of RAM began segfaulting upon me, however my dear friend
Darren Li had access to a computer with 512GB of RAM, and disproved width-11 and found the one you see before you in width-12 (and also found much better bounds on 3c/7, but alas, only negative results))
Code: Select all
x = 52, y = 128, rule = B36/S245
3b6o4b4o9b4o10b4o$2bo3b2o5bo2bo4bo4bo2bo3b5o3b2o3b5o$8b2o3bo3bobobobobo3bo6bo2b6o2bo$2b2obob2o4bo5bobobo5bo4bob2o3b2o3b2obo$5bo2bo12bo14b2ob2o2b2ob2o$4b3o12bo3bo11b2o10b2o$4b3ob2o9bo3bo$4b3o12bobobo12bo3b4o3bo$4bob5o7bobobobo10bobobob2obobobo$2b3o2bob2o6b4ob4o9bo4bo2bo4bo$b3o3bo3bo2bob2o2bobo2b2obo5bo4bo4bo4bo$4b2o3bo4b2ob2o2bo2b2ob2o8bo8bo$10b2o4bo2b2ob2o2bo6b3o12b3o$b4o11bobo5bobo6bo3b2o6b2o3bo$5b2o12b2ob2o11b2o10b2o$3ob2o10bobo5bobo8bobobob2obobobo$3b3o9b3obobobob3o5bo2bo2b2o2b2o2bo2bo$3o2b2o8bo4bobo4bo6b4obob2obob4o$b2o2bobo6b2o2b2o3b2o2b2o4b3ob2o2b2o2b2ob3o$ob3o3bo7b3obobob3o6bob2o3bo2bo3b2obo$3o2bo2bo5bo2bobo3bobo2bo6bobob2o2b2obobo$5bob2o5bo4b2ob2o4bo10b6o$2b2ob4o6bo2bo5bo2bo4bo3b3o2b2o2b3o3bo$2b2o2bo3bo3b2o2bo5bo2b2o4b2o3b2ob2ob2o3b2o$2b2o2bo2bo7bo7bo7b2o3bobo2bobo3b2o$3bo2bo2b2o4b2o9b2o4bobo2b3o4b3o2bobo$bob2obo2bo5b3o7b3o6b6o4b6o$b7obo7bo7bo9b2ob2o4b2ob2o$bo5bo6b3o2bo3bo2b3o6bob2ob4ob2obo$2obob3o5b3o2bo5bo2b3o7bo2b4o2bo$o6bo6b3o9b3o7bo10bo$bobo10bo13bo6bo3bo4bo3bo$4bo7b4o11b4o4b3ob2o2b2ob3o$3bo3bo4b3obo9bob3o6bo2b4o2bo$2b2ob2o7bo2bo7bo2bo8b2obo2bob2o$13bobo2bo5bo2bobo10b4o$bo3bob2o5bo3bo5bo3bo8bob6obo$2o2bobobo8bo7bo10b2o3b2o3b2o$b4o2bo9b2o5b2o9b2obo6bob2o$bob3o2bo28b2ob4ob2o$8bo10bo3bo13b2o2b2o2b2o$8bo29b2ob2ob2o$8b3o6b2ob3ob2o8b2obo8bob2o$8bob2o7bo3bo11bo3bo4bo3bo$3b6obo5bo3b3o3bo6b2o3bobo2bobo3b2o$5b4o2bo5bo2bobo2bo7b3o3bo4bo3b3o$6bo2bo7bo2b3o2bo8bo3b2o4b2o3bo$7bo12bobo11b3obob4obob3o$8bo8bob2ob2obo9bo2bob4obo2bo$5b5obo4b2ob5ob2o10bobo4bobo$6bob2obo5b2o5b2o11bobo4bobo$5b2o3bo4b2o9b2o$4b3o8b2o9b2o8b3o6b3o$4bobo8b2o2b2ob2o2b2o9b10o$4b3o13b3o13bo2b6o2bo$3bo12bob3ob3obo9b3ob4ob3o$2bo2bo2bo8b2obobob2o12bobo2bobo$2bo15bobobobo11b4o4b4o$2bo2b2o9bo2bo3bo2bo10bobo4bobo$4b2o10b4o3b4o12bo4bo$4b2o11bobo3bobo11b3o4b3o$16b2obo3bob2o9b2o3b2o3b2o$17b2o5b2o10b4o4b4o$16b5ob5o11bo2b2o2bo$16bo2bo3bo2bo11bo2b2o2bo$17bobo3bobo12bo6bo$17bobo3bobo12bo2b2o2bo$18bo5bo13b2o4b2o$16bobo5bobo12bo4bo$18bo5bo15bo2bo$39b2o2b2o$16bobo5bobo12bob2obo$17bo7bo12b2o4b2o$16bo9bo11b2o4b2o$17bo7bo13bob2obo$33b3ob3o4b3ob3o$17b2o5b2o7bobo4bo2bo4bobo$16bo9bo5bobobob8obobobo$16b2o7b2o6b2ob2obo4bob2ob2o$34b4obob2obob4o$15bobobo3bobobo7b6o2b6o$16bobo5bobo7bo2bo2bo2bo2bo2bo$15b3o7b3o9bobo4bobo$37bobo4bobo$36bo3bo2bo3bo$35bobo2bo2bo2bobo$35b2obo6bob2o$37b2ob4ob2o$37bo2b4o2bo$39bo4bo$41b2o$39b6o$39b2o2b2o$38b2o4b2o$37bob6obo$36bo3b4o3bo$35bo12bo$36bo10bo$35bo12bo$35bo12bo$35bobo8bobo$34b2obo3b2o3bob2o$35b3o2b4o2b3o$34bob4ob2ob4obo$35b14o$37bobo4bobo$37bo8bo$36bob8obo$38bo2b2o2bo$38bo2b2o2bo$41b2o$39b6o$40bo2bo$39bob2obo$39b6o$39bob2obo$38bo6bo$39b6o$41b2o$39bo4bo$38bo2b2o2bo$39b6o$38bo2b2o2bo$39bob2obo$38b2o4b2o$39b2o2b2o$40bo2bo$39bo4bo!
my collection of minimal-width c/3's, 2c/6's and 3c/9's of each symmetry
Code: Select all
x = 112, y = 107, rule = B36/S245
b4o5b4o4b5ob5o3b4o5b4o5b5ob5o3b4o7b4o6b5ob5o7b4o$6o3b6o4b3o3b3o3b6o3b6o5b3o3b3o3b6o5b6o6b3o3b3o6bobo2bobo$o4bo3bo4bo4bo2bobo2bo3bo4bo3bo4bo5bo2bobo2bo3bo4bo5bo4bo6bo2bobo2bo8b4o$2b2o7b2o7bobobobo6b2o7b2o8bobobobo6b2o9b2o9bobobobo9bo2bo$b4o5b4o7bo3bo6b4o5b4o8bo3bo6b4o7b4o9bo3bo9b2o2b2o$b4o4bob2obo7b3o7b4o5b4o9b3o7b4o7b4o10b3o8b3ob2ob3o$ob2obo3b6o7b3o6bob2obo4bo2bo9b3o6bob2obo5b6o9b3o8b2o6b2o$ob2obo3bo4bo6bobobo5bob2obo4b4o8bobobo5bob2obo4b2o4b2o7bobobo8b2ob2ob2o$9b2o2b2o6b2ob2o16b2o9b2ob2o16b2o2b2o8b2ob2o10b4o$bo2bo2b2o6b2o15bo2bo3b2o4b2o17bo2bo6bo4bo$7b4o2b4o3bobobobo12b3o2b3o5bobobobo14bobo2bobo6bobobobo7bobo2bobo$8bo6bo4b7o5bo2bo5bo2bo7b7o4b2o2b2o2b3o6b3o4b7o6bo2bo2bo2bo$19b2o2bo2b2o3b3o5b3o2b3o4b2o2bo2b2o3b2o2b2o3bo8bo4b2o2bo2b2o4bo2bo4bo2bo$23bo8bo2b2o18bo9b2o5bo8bo8bo8b2o2bo2bo2b2o$21b5o4b5o18b5o5b6o5bo4bo8b5o6bobo6bobo$20bo2bo2bo4bobo4b2o6b2o4bo2bo2bo5bo2bo5bo6bo6bo2bo2bo6b3o4b3o$20b3ob3o4bo2bo4bo6bo5b3ob3o5bo2bo4bobo4bobo5b3ob3o6b2obo2bob2o$21b2ob2o5b3o5b3o2b3o6b2ob2o5b2o2b2o2bo10bo5b2ob2o6bo3bo2bo3bo$20bo2bo2bo4b3o5bo6bo5bo2bo2bo6b2o4bo10bo4bo2bo2bo7bobo2bobo$22b3o7bobo4b2o4b2o7b3o7bobo5b2o6b2o7b3o10bo4bo$21bo3bo8bo5bo4bo7b2ob2o7b2o6bo6bo7b2ob2o6b2obob2obob2o$21b5o16b2o8bobobobo16bo2bo8bobobobo4b3ob6ob3o$20bob3obo4b2o6b8o6b2ob2o7bo7bobo2bobo7b2ob2o7b2o2b2o2b2o$32bo6b2ob2ob2o17bo9bo4bo20bo8bo$20bo5bo5b2o6bo4bo7b5o7bobo6b2o2b2o8b5o7b3o4b3o$21bo3bo5bo9bo2bo8bo3bo7bob2o3bo2b4o2bo6bo3bo11b2o$21bo3bo8bo5bob2obo7bobobo5b2o2b2o2bobo6bobo5bobobo10bo2bo$33b2o17b2obob2o4b2o6bobob4obobo4b2obob2o9bo2bo$32bobo3b2o6b2o3b2o5b2o4b2obo4bo2bo2bo2bo4b2o5b2o8b4o$32b2o4bo3b2o3bo4bo5bo4b2o8bo2b2o2bo6bo5bo$34bo4b2o4b2o4bobo3bobo4b4o4bobo4bobo4bobo3bobo8b4o$31b3o6bo4bo4b2o7b2o4b3o8b2o7b2o7b2o7bo2bo$31bo6bo8bo2bo9bo2bo3bo5bob4obo4bo9bo7b4o$39b2o4b2o4bobo3bobo4bobo7b6o6bobo3bobo7bo4bo$52b2obob2o14b2o4b2o6b2obob2o6b2ob4ob2o$40bo4bo5bo3bo3bo3bob2o6b3o2b3o5bo3bo3bo4b2o3b2o3b2o$40bo4bo7bobobo5b5o6bo4bo8bobobo7b2ob4ob2o$38bobo4bobo5b2ob2o5bob2o6b3o2b3o7b2ob2o8b2ob2ob2o$38bo8bo4b2o3b2o5b3o6bo2b2o2bo6b2o3b2o6b4o2b4o$39b2o4b2o15b2obo6bo2b4o2bo6b2ob2o9bo4bo$38bobo4bobo5b5o7bobo5bo6bo5b2o5b2o4b2o2bo2bo2b2o$41bo2bo6bobo3bobo5bob2o4b2o4b2o6b3ob3o5b2obob2obob2o$52b3ob3o6bobo4b3ob2ob3o5b3ob3o5bo2b2o2b2o2bo$52b3ob3o8bo4bo2b4o2bo4bobo3bobo7bo4bo$52bo5bo5b2o7b8o7b2ob2o5bob4o2b4obo$51bobo3bobo5bo7b8o7bo3bo6b2o8b2o$52bo5bo6b2o5b2o6b2o20bo4bo$71b2o2bo2bo2b2o4b3ob3o7b2o4b2o$65bob2o3bo8bo5b3ob3o8b2o2b2o$67bo3bobo6bobo5b2ob2o8b2o4b2o$66bo5b2o6b2o6b2ob2o7b2o6b2o$66bo6b8o6b7o6b4o2b4o$65bo7b2ob2ob2o6bobobobo$66b2o4bobo4bobo20b6o$67b2o3bob2o2b2obo7b3o9b8o$68bo4b2o4b2o20bob4obo$66bo8bo2bo8bobobobo8bob2obo$65b3o33bobo2bobo$73b2ob2ob2o5b2obobob2o6b3o2b3o$64bo8b8o6bo5bo7b3o2b3o$65b2o6b8o18b4o4b4o$62b2o2bo31b4ob4ob4o$63bo2b2o30b2o2bob2obo2b2o$66bo36bo2bo$99bo2bo4bo2bo$64bobo32b2ob2o2b2ob2o$64b2o33b2o2bo2bo2b2o$62b2o35b5o2b5o$63b2o33b5ob2ob5o$63bo38bob2obo$101bobo2bobo$102b2o2b2o$102bo4bo$104b2o$103bo2bo$101bobo2bobo$100b4o2b4o$99b2o2bo2bo2b2o$103bo2bo$98bo3b2o2b2o3bo$99bob2o4b2obo$98b3o8b3o2$99bo4b2o4bo$101b2ob2ob2o$101b2o4b2o$100b2ob4ob2o2$102b2o2b2o$99b2o2bo2bo2b2o$100bo3b2o3bo$99b4o4b4o$99b5o2b5o$99b2o3b2o3b2o$100b3ob2ob3o$99bo2bob2obo2bo$99b2obo4bob2o$99b4o4b4o$98b2obob4obob2o$99bo10bo$98bo2b8o2bo$98b2o10b2o$98bo12bo$98b2o3b4o3b2o$100bob2o2b2obo$101bobo2bobo$101bobo2bobo!
and likewise for c/4 and 2c/8
Code: Select all
x = 59, y = 65, rule = B36/S245
4o4b3o8b4o8b3o6b3o8b4o$4o2b7o7b2o8bo3bo3b7o6b4o$b2o4bobobo6bo4bo6bo3bo4b5o8b2o$7b5o6b6o6b2ob2o4bobobo$2bo4b2ob2o6bo4bo8bo5b2o3b2o6bo2bo$b2o3bo2bo2bo4b3o2b3o14bo3bo8b2o$2b2o11b3obo2bob3o4bobo4b2o3b2o5bob2obo$7b5o4b2o6b2o6bo4b2o5b2o2b2obo2bob2o$9bo6bobob2obobo4b2ob2o4bo3bo4b2obo2bob2o$9bo5b2o3b2o3b2o12bo3bo5b2ob2ob2o$6b7o4bo6bo5bobobo4b2ob2o6b2o2b2o$5bo2b3o2bo5b4o9bo6b2ob2o5b2o4b2o$5bo7bo4b2o2b2o7bobo4b3ob3o3b2o2b2o2b2o$6b3ob3o5bo4bo7b3o5bo3bo4b4o2b4o$17bobo2bobo8bo5bo3bo6b6o$8bobo7bo4bo6bo7bobobobo5bob2obo$17b2o4b2o5b3o6b5o6bo4bo$15b5o2b5o3bo17b4o2b4o$16b2obo2bob2o4bobo6b5o6b2o2b2o$15bob2o4b2obo4bob2o6bo7bobo2bobo$16bobo4bobo8b2o4bobo$17b3o2b3o6bo2bo6bo5bo4b2o4bo$16bo8bo6b2obo12b4o2b4o$17bo6bo7b2obo4b3o7b2o2b2o$32b3o12b3o6b3o$47bob2o4b2obo$40bobo5bobo4bobo$32bo7b3o$30b3obo5bobo5bo8bo$31bobo5b2ob2o$29b3ob3o2b2o3b2o3b3o4b3o$31bob2o5bobo6b2o4b2o$30b2o3bo13bobo2bobo$33bobo3b2ob2o6bo4bo$30b4o5bobobo6bo4bo$29bo2bo7b3o8b4o$30bo21b2o$31bobo7bo10b2o$32b2o5bobobo$49bobo2bobo$31bobo15bo2b2o2bo$30b2o17bo2b2o2bo$30bo2bo18b2o$32bo18b4o$30bob2o15b3o2b3o$30b2o18b2o2b2o$29b2o19bo4bo$48b3o4b3o$48bob2o2b2obo$49b2o4b2o$50b6o$49b2o4b2o$50b6o$50bo4bo$50bo4bo$50bo4bo2$50bo4bo$49b3o2b3o$49bo6bo$48bob2o2b2obo$49bo2b2o2bo$50b2o2b2o$51bo2bo$52b2o!
and also for c/5 and 2c/10 (except I have only found a minimal 2c/10 for even symmetry)
Code: Select all
x = 49, y = 131, rule = B36/S245
2b4o6b3ob3o9b2o12b2o$3b2o6b2obobob2o7b4o10b4o$2b2obo4b5ob5o5bob2obo8bob2obo$b2ob3o4b3o3b3o6bob2obo8bob2obo$b3o7b3o3b3o7b4o10b4o$2b2ob2o3b2o7b2o$bob3o4bobo5bobo4bo2b2o2bo6bo2b2o2bo$obo8b2o5b2o5b8o6b8o$b2obo6b2o5b2o4b2ob4ob2o4b2ob4ob2o$2bo21bobo4bobo4bobo4bobo$3b2o8b5o6b10o4b10o$2bob2o7b5o7b2ob2ob2o6b2ob2ob2o$13bo3bo7b3o2b3o6b3o2b3o$5o7b2obob2o8bo2bo10bo2bo$b3obo6bo5bo5bobo4bobo4bobo4bobo$obo3bo6bobobo10b2o12b2o$bob2ob2o4bobobobo6b2ob2ob2o6b2ob2ob2o$5bobo6b3o10b4o10b4o$6bo7bobo$2b2o23bo2bo10bo2bo$2b2o10b3o11b2o12b2o$2b2o9b5o10b2o12b2o$4bo8bo3bo7bob4obo7bo4bo$3bob2o5bo5bo7bob2obo7b3o2b3o$2b2ob2o4bo2bobo2bo6b2o2b2o6b3o4b3o$2b3o5b2obobobob2o4bo2b2o2bo5b2obo2bob2o$10b4o3b4o3bob6obo4b3o4b3o$4bo8bo3bo7bo6bo4b2o8b2o$5b2o4bo3bo3bo4bob2o2b2obo4b2o6b2o$5bo6bobobobo7b6o5bo10bo$4bo10bo9bo6bo7bo4bo$3b2o20bo6bo7b2o2b2o$b2obo19b2obo2bob2o4b2obo2bob2o$2b2o21bob4obo5bo2bo2bo2bo$3b2o19bobob2obobo3bobo6bobo$2b3o32bo2bo4bo2bo$2bo23b6o7b3o2b3o$2bo3bo16b4o4b4o5bob2obo$2b4o19bob4obo6bo2b2o2bo$bob2ob2o17bob4obo6b2o4b2o$2bobob2o19b4o8bobo2bobo$5b2o33bo4bo$3bob3o30b2ob4ob2o$4b4o18bob2obo9b4o$4bo20bobo2bobo8b4o$2bobo19bob6obo5b2o4b2o$2b3o18b4o4b4o3b2o2b2o2b2o$b3ob3o15b12o4b2o4b2o$b4o33b10o$3b3o19bob4obo5b3ob2ob3o$2bo2bo21bo2bo9bob2obo$3bo20b3ob2ob3o4bobob2obobo$3bo22b6o9b4o$2b2o22bo4bo7b2ob2ob2o$3bobo18bo2bo2bo2bo$2bo3bo19bo4bo6b3o4b3o$2bobo23b2o9bob4obo$3bob2o16bob3o2b3obo3b2o2b2o2b2o$3bo19bo2b2o2b2o2bo3bo8bo$6bo21b2o12b2o$3b2obo21b2o10bob2obo$6b2o17bobo2bobo9b2o$2bobo23b2o11bo2bo$2bo2b2o33b2o2b2o$42b2o$b2o38bo2bo$41bo2bo$bobo36bob2obo$41b4o$b4o35b2o2b2o3$bo$2o39b4o$b2o37b6o$2o38b2o2b2o$bo37b3o2b3o$3bo$3b2o36b4o$2bo38b4o$2b3o36b4o$2b3o36b4o$bo2bo36b4o$b3o36bo4bo$b5o34b2o2b2o$5bo34b2o2b2o$2o3b3o31b3o2b3o$8o32bob2obo$b6o34b4o$41bo2bo$2b2o36bo4bo$bob2o36b4o$3b2o$2b2o$bob2o$4bo$3bobo$4b3o$2bobo$3bo3bo$2bobo$3bo$2bo$2b2obo$3bo2$3b3o$3b2obo$bo4bo$2b3o$b2obo$2bo$b4o$ob2ob2o$2b2o$4b2o$4b3o3$4bobo$4b3o$2bo2bo$b5o$bo2b2o$2ob3o$b2o$o3bo$bo2bo$4bo$4bo$3bo!
and for c/2, 2c/4, 3c/6, 4c/8, 5c/10 (no asymmetrical) and 6c/12 (only asymmetrical), together with the 10c/20 and 26c/52 first found by Jason Summers in 2002 (whose discovery entails removing 'caps' from other c/2's to find that the remainder is stable as a
frothing spaceship, and as such the former of which has occurred many times in ikpx2_stdin, the latter is formed by two placed opposing each other)
Code: Select all
x = 219, y = 46, rule = B36/S245
4o3b2o4b4o2b4o6b4o4b4o5b4o4b4o5b4o6b4o8b4o12b4o12b4o9b4ob4o6b4ob4o4b4o5b4o2b4o5b4o4b4ob4o7b4o3b4o$b2o3b4o4b2o4b2o8b2o6b2o7b2o6b2o7b2o8b2o7bobo2bobo8bobo2bobo8bobo2bobo8b2o3b2o8b2o3b2o6b2o7b2o4b2o7b2o6b2o3b2o9b2o5b2o$bobobo2bo3b2ob6ob2o4b2obo4b2obo5b2obo4b2obo5b2obo6b2obo6b4o2b4o6b4o2b4o6b4o2b4o5b2obo3bob2o4b2obo3bob2o4bob2o3b2obo4bob2o3b2obo4b2obo3bob2o5b2obo5bob2o$8bo2b2o3bo2bo3b2o2b2o6b2o7b2o6b2o7b2o8b2o8bobo2b2o2bobo4bobo2b2o2bobo4bobo2b2o2bobo3b2o9b2o2b2o9b2o6b2ob2o10b2ob2o6b2o9b2o3b2o11b2o$14bo6bo6bo6bob2o5bob2o5bo7bob2o7bo7bo4b4o4bo2bo4b4o4bo2bo4b4o4bo3bo9bo4bo9bo7bo3bo10bo3bo7bo9bo5bo11bo$15bob2obo6bo2bo5b3obo4b3obo2bo2bo6b3obo4bo2bo6bob8obo4bob8obo4bob8obo3bo2bo5bo2bo2bo2bo5bo2bo4bo2bobo2bo6bo2bobo2bo4bo2bo5bo2bo3bo2bo7bo2bo$15bob2obo7bo2b2o3bo3b2o3bo3b2o2bo2b2o4bo3b2o4bo2b2o3bobob2o2b2obobo2bobob2o2b2obobo2bobob2o2b2obobo3bo2b2ob2o2bo4bo2b2ob2o2bo3b2o2bo3bo2b2o2b2o2bo3bo2b2o3bo2b2ob2o2bo5bo2b2o3b2o2bo$13bo8bo7b2o3bo2b3o3bo2b3o5b2o4bo2b3o7b2o6b2obo2bob2o6b2obo2bob2o6b2obo2bob2o7b2o3b2o8b2o3b2o6b2o7b2o4b2o7b2o6b2o3b2o9b2o5b2o$15bo4bo8b3o8b2o7b2o2bob2obo7b2o4bob2obo3b3o6b3o4b3o6b3o6b2o4b2o7b3o3b3o9bobo8b3o5b3o4b3o5b3o5b3o3b3o6bob2obobob2obo$30bo8b2o7b2o3b6o6b2o5b6o3b3o6b3o3bob2o6b2obo4bo8bo6b3o3b3o6bo7bo6bo7bo6bo7bo7bo5bo7b6ob6o$27b2ob3o6b3o6b3o3bo2bo7b3o5bo2bo3bob2o6b2obo2bob2o6b2obo4b2o6b2o5b2obobobob2o6bobobobo5b3ob2ob2ob3o2b3ob2ob2ob3o2b2ob3ob3ob2o5bo2bo3bo2bo$28bob3o3b2obo5b2obo13b2obo14bobo8bobo4bo8bo5bobo6bobo4bo3bobo3bo7b2ob2o6b3obo3bob3o2b3obo3bob3o3bob3ob3obo$28b2o5b6o3b6o5b2o4b6o7b2o21b4o4b4o4bo10bo4bo3bobo3bo6bo5bo8b2o3b2o8b2o3b2o6b2o7b2o7b2o5b2o$27bo3bo4bo4bo3bo4bo3b4o4bo4bo5b4o21b3o4b3o5bobo6bobo6bo5bo8b2o3b2o6bo3bobo3bo4bo3bobo3bo3bo3bo3bo3bo5b4o3b4o$28bo7bo8bo9b2o5bo11b2o24bob2obo7b3o6b3o22bo3bo10bo3bo10bo3bo7bo3bobo3bo7b2o5b2o$39bo8bo6b2o8bo8b2o21bo2b6o2bo6bob4obo25b3o11b5o10b5o12bo12b2o5b2o$48bo5bo2bo15b4o23bo4bo10b6o26bobo41bobobo9b4o3b4o$39b2o7bo6b2o8b2o6b4o22b3o2b3o10bo2bo27bobo26b2ob2o10b5o9b4o3b4o$38bo9bo6b2o7bo51b2o2b2o42bo12b2ob2o11bobo$38b3o58b8o9bo4bo42bo12b2ob2o11bobo$38bobo24b2o34bo2bo10bob4obo41bo12b2ob2o7bo3bobo3bo$40bo23b2o36b2o11bo6bo41bo14bo8b2ob2o3b2ob2o$37bo28bo32b2o4b2o7b2obo2bob2o52bo5bo6b3o5b3o$37bobo23b2o35bo4bo8b3o4b3o52b3ob3o6b2obo3bob2o$36bo2bo23bobo34b2o2b2o70b3ob3o6b2obo3bob2o$37bobo22b2ob2o32b2o4b2o6b5o2b5o50b2o5b2o6bo7bo$38bo23bo3bo47b3o4b3o50b2obo3bob2o3b4o5b4o$64bo49bobo4bobo51b2o5b2o4b3o7b3o$63bobo47bob2o4b2obo50b2o5b2o$62bo3bo48b3o2b3o65bob4ob4obo$63b3o49b8o52b2o5b2o4bo2b2o3b2o2bo$63bobo49bobo2bobo52b2o5b2o5b2o2bobo2b2o$116b6o53bobo3bobo5b2o3bo3b2o$115bo6bo67bobobobobo$116bo4bo70b2ob2o$190bob2ob2obo$191bob3obo$191bo2bo2bo$191bobobobo$194bo$193bobo$191b7o$190bo2bobo2bo$189bobobobobobo$190bobo3bobo$191bo5bo!
here is an odd-symmetric c/7 (new) of width 13, with an even-symmetric one (attributed to Evan Clark in 2006) of width 14
Code: Select all
x = 29, y = 56, rule = B36/S245
4b5o12b2o$2b2o2bo2b2o9bo2bo$3bo5bo$3b3ob3o7bo2b4o2bo$3bobobobo6b2o2b4o2b2o$4bo3bo8b3o4b3o$5bobo7bo2b2o4b2o2bo$5bobo7b2o10b2o$6bo11b2o4b2o$5bobo9b3o4b3o$6bo12bo4bo$ob3obob3obo5bo6bo$3o2b3o2b3o3bobo6bobo$2b2o5b2o$3bo2bo2bo$3bo2bo2bo$3b7o2$4b5o$4b5o$6bo$6bo$5bobo2$5b3o$4b2ob2o$4b2ob2o$4b2ob2o$4b5o$4bo3bo$3b2obob2o$4bo3bo$3bobobobo$b3o5b3o$6bo$bobob3obobo$3bobobobo$2b2o2bo2b2o$3b2obob2o$bo2bo3bo2bo2$3b2o3b2o2$4b2ob2o$3bo5bo$5bobo$4bo3bo$bo2bo3bo2bo$2o9b2o$b3o5b3o$ob2o5b2obo$3b3ob3o$2bob2ob2obo$5b3o$6bo$5b3o!
also, Catagolue user JMM (forum name
whatislife) contributed three hauls to their own qfind_stdin census on February 14 (whereas I began my table on February 24), finding a few things not included in glider.db or my search by venturing into higher-than-minimal widths, which I shall detail here also
their minimal c/5's: asymmetric (minpop 103, width 9), odd (minpop 69, width 15), even (minpop 108, width 16)
Code: Select all
x = 42, y = 44, rule = B36/S245
2b4o7b3ob3o7b3o8b3o$2bo2bo5b2o2bobo2b2o4b3obo6bob3o$b2o2b2o4b4obob4o5bob3o4b3obo$b2o2b2o9bo10b2obo6bob2o$5bo24bo6bo$bo3bo5bo2bo3bo2bo7b2o6b2o$3o3bo3b3o7b3o8bo4bo$2bob3o2bo2b3o3b3o2bo3b4ob4ob4o$4b3o2bo2bo7bo2bo2b2o3bo4bo3b2o$bo2bo6b3o5b3o4b2obo2b4o2bob2o$2bo8b5ob5o8b2ob2ob2o$5bo4b2o2bo3bo2b2o4bob2o2b2o2b2obo$bo2bo8b3ob3o8b2obo4bob2o$2b3o8bobobobo7b3o3b2o3b3o$2bo11bo3bo8bo2bobo2bobo2bo$bo2bo24bob2o2b2obo$2bobo25bobo2bobo$5o26bo4bo$b2o2bo25b2o2b2o$b2obo$30bo2b2o2bo$5b2o24bob2obo$5b3o$4bobo$2b2o2bo$b4o$2bo$4o$2bo$2bo$2b2o$4bo$3bo$4bo$5b2o$3b2obo$b3o$2b4o$5b2o$2b2o$5bo$2b3o$3b3o$3bo!
even-symmetric c/6's; my 112-cell width-14 one, their 74-cell width-16 one
Code: Select all
x = 30, y = 32, rule = B36/S245
5b4o11b4o$5b4o7b4ob2ob4o$4b2o2b2o6b2o3b2o3b2o$2b3ob2ob3o2b2o3b2o2b2o3b2o$3b2o4b2o4bo2bob4obo2bo$bo10bo3bo10bo$2b2o6b2o5b2o6b2o$2bobo4bobo4bob2o4b2obo$3b2o4b2o5b2obob2obob2o$2bobo4bobo4bo2b6o2bo$2b2o6b2o5b2ob4ob2o$3bo6bo$2b2o6b2o8bo2bo$5b4o10b6o$5bo2bo9bo6bo$6b2o10b8o3$3bo6bo$3ob6ob3o$bob8obo$5b4o3$4b2o2b2o$4b6o$2b3ob2ob3o$2b2o2b2o2b2o2$4bob2obo$3bo2b2o2bo$b2o3b2o3b2o!