ConwayLife.com

Posted: **July 17th, 2021, 1:31 am**

I was messing around in Golly, trying to find interesting rules, when i stumbled upon this rule: b2e3-acj4ci5a6i7e8s2-a34ajk5ce7. It is characterised by this explosive, somewhat large, and common period 6 oscillator:

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x = 7, y = 7, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
2b3o$b5o$7o$3ob3o$7o$b5o$2b3o!

Many spaceships exist in this rule, including a 4c/29 ship based on the previously mentioned oscillator.

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x = 139, y = 12, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
bo3bo5bo5bo4b3o8b3o7b3o6b3o7b2o7b3o9b3o19bo9bo19bo2bo$3obo5bobo3bobo3b
obo7b5o5b5o4b5o5bo2bo6bobo8b2obo18bobo7bobo17bobo$bo7bo2bo2bo2bo3bo2bo
6bobobo5bobobo4bobobo16bo10b3o17bobobo5bobobo17b2o$26bo5bo4bo5bobo6bob
o5b2o2b2o6bo31bobo7bobo$bo8b2o5b2o4b2o2bo4b3o2bo5b3o6b3o5bob2obo6bo32b
o9bo15bo$o15b2o7bo16bo3bo25bo14b3o11bo17bo11bo$26bo8bo6bo2bo26bo28bo
17bo11bo$71b3o27bo17bo3$132b2o$132b2o!

Oscillators are known for periods 2-10, 12-15, 18, 20, 24, 30, 35, 40, 42, 52, 56, 60, 84, and 156 although these have all come from apgsearch and it is likely that there are other periods that haven't yet been found. For example at the time of writing this, period 5 hasn't been found, but a segment of the period 30 oscillator contains a period 5 subpattern.

One infinite growth pattern has been found by May13, which is a (2,1)c/6 stretcher.
Still lives, although not as varied and interesting as the oscillators, do exist, including the block. Many larger still lives are largely comprised of multiple r-pentominoes stabilising each other, and more often than not contain an even number of cells.

As for many cellular automata, it remains a question if this rule is omniperiodic. Any form of spaceship reflector hasn't been discovered yet as well. I will continue updating this therad if i find anything else of note.

I am currently using apgsearch to try do discover some of these unknown patterns, and I would appreciate it if somebody else also did because it would probably make finding interesting patterns a lot faster than my PC alone. Thanks!

Edit 1: added p5
Edit 2: added p24 and p40
Edit 3: added p13 and p15, cleaned up a bit
Edit 4: added p20 and p35
Edit 5: added p60
Edit 6: added p9, p18, and p84
Edit 6: added p52 and p156

Posted: **July 17th, 2021, 2:10 am**

I'm going to try searching in D8_1 symmetry now

Posted: **July 17th, 2021, 2:17 am**

period 5 oscillator!

Code: Select all

x = 15, y = 15, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
7bo$b2o2b2ob2o2b2o$bob2o2bo2b2obo$2bo4bo4bo$2bo3bobo3bo$bo4bobo4bo$bo2b2o3b2o
2bo$ob2o7b2obo$bo2b2o3b2o2bo$bo4bobo4bo$2bo3bobo3bo$2bo4bo4bo$bob2o2bo2b2obo$
b2o2b2ob2o2b2o$7bo!

Posted: **July 17th, 2021, 2:24 am**

Smaller p5:

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x = 7, y = 10, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
2obob2o$3ob3o$bobobo$3bo$2bobo$b2ob2o$bobobo$o2bo2bo$ob3obo$3bo!

Some additional spaceships: c/3, c/5 and c/6 orthogonal, c/4 and c/6 diagonal:

Code: Select all

x = 115, y = 123, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
6$12b2o42bobobo$8b2ob3o41bo2bo2bo$8b3o2bo18b3ob3o19bo$8bo25b3o18bo5bo$
11bo21bobobo16bobobobobo$11bobo19bo2bo18bo5bo$12b3o18bo18b2ob2obob2ob
2o$12b2o18bobo19bo7bo$12b2o18bo3bo16bo9bo$11bobo17bo3bo22bo$9bobo20b4o
17b2obobobob2o$9bo21b3o$9bobo20bo19b2o2bobobo2b2o$32bo20bob7obo$10bo
22bo21bo5bo$10bo20bobo$10bo24$15bo30b3o$14bobo29bo2b2o$13bo30bobo3bobo
$13bo29b2obo5bo$12b3o28bo4b2obo2bo$10bob3o28bo5bobo2bo$9bo33b3obo4b3o$
8bobo3b4obo24bobo2b3o$15bob2obo23bobo3b3ob3o$15b3obo24bobo5b2obo$16b2o
b2o25bo4bo2b4o$16bo29bo$16bo29bo3b3o2bo2bo$49bo3bob4o$52b2obo3b3o$57b
2o$54b3o4bob2o$56b2o4bobo$59bo2b4o$57b4o$60bo3b2obo$59bo7bo$60bobo4bo$
60bobob8o$62b2o3b2o$63bo2bo4b2o$66b2o$65b2obobo$66b2o4b2o$71bob2o$72bo
b2o$74bo2bo$73bob4o$74bob2o2b3o$75bo3b2o$82b2o$75bo4b2obo$76bob2obo3b
2o$75b2o5bo$75b2ob2o4bo2bo$78bobobo3bobo$77bobo3bo3bo$87bobo$83bo2bob
2o$80b4o2b2o2bo$81bo3bobo3b3o$83bobo$85bo2bob2obo$87b4o3bo$89bo5bo$88b
2o6b2o$89b2obob2ob3o$91bob2obob2o$90b3o4bo3bo$95bobo$95bobo2bo$94bo2bo
$95b3o2b3o$100bobo$99b2ob3o$100b2obob2o$103b2o5bo$102bob3ob4o$102bo2bo
2bo2bo$103bo4b2obo$105b2ob2o$104bo2bobobo$105b2o3bo$110bo$105bo!

And c/6 diagonal tagalong:

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x = 96, y = 97, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
3b3o$3bo2b2o$bobo3bobo$2obo5bo$o4b2obo2bo$o5bobo2bo$3obo4b3o$bobo2b3o$
bobo3b3ob3o$bobo5b2obo$3bo4bo2b4o$3bo$3bo3b3o2bo2bo$6bo3bob4o$9b2obo3b
3o$14b2o$11b3o4bob2o$13b2o4bobo$16bo2b4o$14b4o$17bo3b2obo$16bo7bo$17bo
bo4bo$17bobob8o$19b2o3b2o$20bo2bo4b2o$23b2o$22b2obobo$23b2o4b2o$28bob
2o$29bob2o$31bo2bo$30bob4o$31bob2o2b3o$32bo3b2o$39b2o$32bo4b2obo$33bob
2obo3b2o$32b2o5bo$32b2ob2o4bo2bo$35bobobo3bobo$34bobo3bo3bo$44bobo$40b
o2bob2o$37b4o2b2o2bo$38bo3bobo3b3o$40bobo$42bo2bob2obo$44b4o3bo$46bo5b
o$45b2o6b2o$46b2obob2ob3o$48bob2obob2o$47b3o4bo3bo$52bobo$52bobo2bo$
51bo2bo$52b3o2b3o$57bobo$56b2ob3o$57b2obob2o$60b2o5bo$59bob3ob4o$59bo
2bo2bo2bo$60bo4b2obo$62b2ob2o$61bo2bobobo$62b2o3bo$67bo5bo$62bo9b3obo$
68b3o2bo2b2o$76b2o$69b4o$68bob6o2bo$68bobobo6bo$68b2ob3obo2bo$69b2obob
4obo$73bo2bobob4o$72b2obob3obo$72bob2obob2ob2o$74bob2obob3o$75b2o2b4o
2bo$75bobobo6bo$78bo2b2o$79b2o3bob2o$79bobo2b6o$81bo4bo2bo$81bo4b4o3bo
$83b4o3bo2b2o$84bobob2o5bo2$85b5o$86b3o2$88bo$88bo$88bo!

Edit: small c/5 diagonal:

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x = 14, y = 14, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
8bo$6b4o$6bob3o2bo$6bob2o2bo$7bob2o$6b2obo$b3obobobo$bo2b5obo$4o3bo$b
6o$2bobo2bo2$3bo$2bo!

Edit 2: no symmetric 2c/5 for width 20 and 21.
Partial for width 22:

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x = 22, y = 100, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
......................$
.........oooo.........$
......o.o.oo.o.o......$
.....ooo.o..o.ooo.....$
.....o.oo....oo.o.....$
...ooo...oooo...ooo...$
...o.o.oo.oo.oo.o.o...$
..oooooooo..oooooooo..$
.........o..o.........$
....ooo..o..o..ooo....$
......o.o.oo.o.o......$
......o........o......$
...oo.oooo..oooo.oo...$
...o....o.oo.o....o...$
...oo..o.oooo.o..oo...$
...o.o.o.o..o.o.o.o...$
...oo.o.o....o.o.oo...$
.......ooo..ooo.......$
......................$
...ooo..........ooo...$
...o.oo...oo...oo.o...$
....oooooooooooooo....$
...oo...oooooo...oo...$
...ooo...o..o...ooo...$
....oo.o.oooo.o.oo....$
..o...oooo..oooo...o..$
...oo............oo...$
..o..oooooooooooo..o..$
..o.o..o......o..o.o..$
.oo.ooo.o....o.ooo.oo.$
..o....o......o....o..$
.....o.oo....oo.o.....$
..o...oo......oo...o..$
...oo.oo......oo.oo...$
...o..o........o..o...$
..ooooo........ooooo..$
..o....o......o....o..$
.oo.o...o....o...o.oo.$
...ooo..oo..oo..ooo...$
...o.o..o.oo.o..o.o...$
..oooo...o..o...oooo..$
......o.o....o.o......$
.o..o...o....o...o..o.$
.o.o..o.o....o.o..o.o.$
o..o..............o..o$
......o..oooo..o......!

Posted: **July 17th, 2021, 2:33 am**

May13 wrote: July 17th, 2021, 2:24 am Smaller p5:
Some additional spaceships: c/3, c/5 and c/6 orthogonal, c/4 and c/6 diagonal:
And c/6 diagonal tagalong:
Edit: small c/5 diagonal:

These are awesome! Thank you so much!

Posted: **July 17th, 2021, 3:14 am**

2c/5 symmetric w22 returned no result.
Searching for c/7 diagonal:

Code: Select all

x = 38, y = 38, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
3b4o$2bob5o$bo3bo$o4bob3o$2o2bo7bo$4ob2ob3ob2o$2o3b3o3bob2o$bobo2bo6b
2o$bobobo4b2obobo$3bobo6bob2o$5bo2bo4bob2o$6bobo5b2obo$4b2o3bo5b2obobo
$5b4obo6bo2b2o$6b2obobo5bob2o$8b5o8bo$10bobo7b2o$11bob2o5b2obo$12bo7bo
2bo$14bo5bo2b2o$12b3ob4o2b3o$13bob3o6b4o$20bo5bobo$17b4o4bobobobo$19b
3o2b4o$21bob2obo2bo2bo$21b2ob3o2bo2bo$21bob2o3bo3b3obo$22bo4bob2o5b2o$
23bob2ob2o3bobo$28bo6bo$23bo9bo$25b3o4b3o$27bobob3o$27bo4b2o$29b2o$27b
2o$28bo!

TINY KNIGHTLINESTRETCHER!!!

Code: Select all

x = 24, y = 56, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
3bo$2bo$bo$4bo$3b2o$3bo2bo$bo3bobo$2bo$bo$4o$2ob2o$2bo2bo$2ob2o2bo$bob
2o2bobo$2bobo3bo$2bo2bob3o$3bo5bo$3b3o4b2o$5bo4bo$6b2obo$5bobo2bobo$6b
o2b2o$6bobo3bo$7bobo$7bo$8b2o$8bo$9bo$9bo$10bo$10bo$11bo$11bo$12bo$12b
o$13bo$13bo$14bo$14bo$15bo$15bo$16bo$16bo$17bo$17bo$18bo$18bo$19bo$19b
o$20bo$19b2o$20b2o$19bo2b2o$18b2o3bo$19b2obo$21b2o!

Posted: **July 17th, 2021, 3:18 am**

May13 wrote: July 17th, 2021, 3:14 am 2c/5 symmetric w22 returned no result.
Searching for c/7 diagonal:
TINY KNIGHTLINESTRETCHER!!!

Oh wow! i was just wondering if there were any oblique spaceships in this rule! I guess it's also been proven that infinite growth exists as well!

Posted: **July 17th, 2021, 3:48 am**

I'm running ikpx2 to find c/2 spaceships rn and HOLY MOLY there are a lot of them lmao it spits out a new spaceship like 5 times per second

Posted: **July 17th, 2021, 4:05 am**

Knightlines are good eaters:

Code: Select all

x = 475, y = 59, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
13$10bo44b2o$9bo45bob2o$54bo3b2o$9bo11b2o31b2o2bo$6bob3o10bob2o31b2o
45b2o$5bo3bo10bo3b2o31b2o44bob2o$20b2o2bo32bo44bo3bo$22b2o34bo41b3o2bo
13b2o$23b2o33bo39b2obob3o11b2obo88b2o$23bo35bo36b2o6bo12bo3bo85b2obo
41b2o$24bo34bo34b2o22bo2b3o37b2o44bo3bo38b2obo$24bo35bo24bo6b2o24b3obo
b2o33b2obo45bo2b3o36bo3bo$25bo34bo23b3obob2o27bo6b2o31bo3bo44b3obob2o
35bo2b3o37b2o$25bo35bo22bo2b3o38b2o30bo2b3o43bo6b2o33b3obob2o33b2obo
93b2o$26bo34bo21bo3bo42b2o28b3obob2o50b2o32bo6b2o31bo3bo39b2o49b2obo$
26bo35bo20b2obo45b2o27bo6b2o50b2o39b2o30bo2b3o35b2obo49bo3bo45b2o$27bo
34bo22b2o47b2o34b2o50b2o39b2o28b3obob2o33bo3bo49bo2b3o41b2obo$27bo35bo
72b2o6bo27b2o50b2o39b2o27bo6b2o32bo2b3o47b3obob2o39bo3bo$28bo33b2o74b
2obob3o28b2o50b2o6bo32b2o34b2o30b3obob2o46bo6b2o38bo2b3o$28bo34b2o75b
3o2bo30b2o50b2obob3o33b2o6bo27b2o29bo6b2o53b2o36b3obob2o$29bo32bo2b2o
75bo3bo31b2o6bo43b3o2bo35b2obob3o28b2o36b2o53b2o35bo6b2o$28b2o31b2o3bo
76bob2o33b2obob3o44bo3bo36b3o2bo30b2o36b2o53b2o42b2o$29b2o31b2obo77b2o
37b3o2bo45bob2o38bo3bo31b2o6bo29b2o53b2o42b2o$28bo2b2o31b2o118bo3bo44b
2o41bob2o33b2obob3o30b2o53b2o6bo35b2o$27b2o3bo152bob2o87b2o37b3o2bo32b
2o6bo46b2obob3o36b2o$28b2obo153b2o130bo3bo33b2obob3o47b3o2bo38b2o$30b
2o286bob2o35b3o2bo49bo3bo39b2o$215b3o100b2o39bo3bo49bob2o41b2o$214b5o
141bob2o49b2o45b2o6bo$57bo68b3o85bobobo141b2o100b2obob3o$56bobo36bo30b
obo41b3o42bobo125b3o118b3o2bo$55bo2bo35bobo29bo2bo39b5o41b3o85b2o38bob
o120bo3bo$93bo2bo33bo38bobobo40bo3bo45b3o35bo2bo38bo122bob2o$56b2o69b
2o2bo37bo4bo39bo2bo45b5o76bo122b2o$95b2o32bo39b3o2bo88bobobo33b2o2b2o
37bo$94b2o34bo133bobo34bob2obo37bo$172bo91b3o77bo97b3o7b3o$343b3o47b3o
46bob2o5b2obo$392b2obo46b3o7b3o$393b3o2$438b3o15b3o$397b3o!

Unfortunately, I found no way to eat block-pulling spaceship.
(2,1)c/6, 2c/7 and c/8o partials:

Code: Select all

x = 167, y = 89, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
11$119b2o$118b4o$117bob2obo$70b3o4b3o38b4o$70bobo4bobo38b4o$70bobo4bob
o38bo2bo$117b2o2b2o$71bo6bo38bob2obo28bo$70bobo4bobo36bo6bo27bo$70b2o
6b2o37b2o2b2o28bo$71bo6bo38bo4bo25bobobobo$74b2o42bo2bo27b2ob2o$73bo2b
o41b4o24bo9bo$72bob2obo69bo2b3o2bo$73b4o42b2o30bo$71bo2b2o2bo70bobobo$
72b2o2b2o41b2o28bobobo$71bobo2bobo68b2o5b2o$11bo59bo6bo38b6o24bo7bo$
10bo61bo4bo38bobo2bobo22b4o3b4o$9bo105b3o4b3o22bo2b3o2bo$12bo58bo2b2o
2bo37bo6bo22b2o3bo3b2o$11b2o57bob2o2b2obo35bobo4bobo22bo2b3o2bo$11bo2b
o100b10o24bo3bo$9bo3bobo58b2o40bo6bo23b2o2bo2b2o$10bo60b8o37bob4obo24b
obobobo$9bo61bo2b2o2bo36b2o6b2o24bo3bo$8b4o59bobo2bobo36bob6obo24bobob
o$8b2ob2o59bo4bo37bo2b4o2bo23bo5bo$10bo2bo100b2o3b2o3b2o22bo5bo$8b2ob
2o2bo100bo2b2o2bo24bo2bo2bo$9bob2o2bobo52b3o4b3o34b2o3b2o3b2o24bobo$
10bobo3bo53bobo4bobo35bob6obo24bo3bo$10bo2bob3o51b5o2b5o34b10o24bobobo
$11bo5bo51b5o2b5o36bob2obo26bobobo$11b3o4b2o50bobo4bobo68b2o3b2o$13bo
4bo52bo6bo38bo4bo26bo3bo$14b2obo100bo2bo26b2o3b2o$13bobo2bobo50bo6bo
39bo2bo$14bo2b2o52bobo2bobo38b2o2b2o24bobobobobo$14bobo3bo49bobob2obob
o35bobob2obobo23bob3obo$15bobo52b2ob4ob2o34b5o2b5o$15bo54bobob2obobo
36bo6bo25b2ob2o$16b2o55bo2bo41b4o25bob2ob2obo$16bo53bobo4bobo34bob2o4b
2obo24b3o$17bo51bob2o4b2obo34bobob2obobo25bobo$17bo4b3o44bo2b2o2b2o2bo
35bo6bo23b3obob3o$18b2o2bobo44bo10bo34bobob2obobo$18bo3b2obo42bobobo4b
obobo32bobobo2bobobo$19bo5bo42bobo8bobo$19bobo3b2o42b2o8b2o$20bob2o44b
2o2bo4bo2b2o$20bobo3bo42bo2bo4bo2bo$21bo4bo43bobo4bobo$21bobobobo41b3o
2b2o2b3o$22b2o2b3o41b3o4b3o$22bo2bobo41b2obo4bob2o$23b2ob2o$23bobo43bo
2bo4bo2bo$28bo40bobobo2bobobo$25b3obo40bob2o2b2obo$26bob2o39bo2bo4bo2b
o$27bo3bo36b2ob2o4b2ob2o$27bo42bobob2obobo$27b3ob2o36bo2b2o2b2o2bo$28b
2o2bobo32b2o5b2o5b2o$34bo$29b6o$29bob2o36b3o6b3o$30b5o33bo4b4o4bo$29bo
b2o35bob3ob2ob3obo$34bobo30b2obobob2obobob2o$32b4o2bo30bob2o4b2obo$34b
ob2o29b2ob2obo2bob2ob2o$71bobo2bobo!

Edit: 2c/4 double wickstretcher:

Code: Select all

x = 20, y = 38, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
2bo3bo6bo3bo$bobobobo4bobobobo$bobo2bobo2bobo2bobo$5bo3b2o3bo$2bob4o4b
4obo$bo4bobo2bobo4bo$b2o5bo2bo6b2o$2o3b2o6b2o2b2o$bo4b2o4b2o4bo$b2o14b
obo$2bo$5b3o4b3o2b2o$b2ob2ob6ob2ob2o$2obobobo2bo3bobo$bo6bo7bobo$ob2o
2bo5b2ob2o2bo$o2b3o6bo2b4o$bo12bo3bo$3o14bo$bobob2o6bo2bo$bo3bobo4bobo
bo$2b2obo2bo2bobo2bo$3bo2bo2b2obob3obo$3bo9b2o2bo$2bo2bo3b2o4b2o$2bobo
9b2o$4bobo8bob2o$b2o12bo$17b2o$b2o$17b2o$b2o$17b2o$b2o$17b2o$2bo$4bo
11bo$3bo11bo!

Posted: **July 17th, 2021, 4:23 am**

infinitely extensible spaceship

Code: Select all

x = 12, y = 57, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
2bo6bo$bobo4bobo$o3bo2bo3bo$obobo2bobobo2$bobo4bobo$2bo6bo$bobo4bobo$
2obo4bob2o2$2obo4bob2o$obobo2bobobo$4bo2bo2$3b2o2b2o$4bo2bo$4b4o$3b2o
2b2o$3bob2obo$4bo2bo$4b4o$3b2o2b2o$4b4o$4b4o2$6bo$3bobo$2bobobo$b2o3bo
$3bo$5b2o$5bo$4b2o2$5bo$4b2o2$5bo$4b2o2$5bo$4b2o2$5bo$4b2o2$5bo$4b2o2$
5bo$4b2o2$5bo$4b2o2$5bo$4b2o!

insane sparker

Code: Select all

x = 9, y = 35, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
3b3o$2b2obo$3b2o$4b2o$4bo$4bo2$2bo3bo$bobobobo$obobobobo2$bob3obo$2bobobo$bob
obobo2$bob3obo$obo3bobo$o3bo3bo2$2ob3ob2o$bo5bo$3bobo$4bo$4bo$3bobo$3bobo$3bo
bo$2bobobo$3bobo2$2b5o$3b3o$2b5o$3bobo$4bo!

Posted: **July 17th, 2021, 5:47 am**

I found a knightship:

Code: Select all

#C completed spaceship: xq6_yg8siud6zyegcr4zydob11zy9gm2076d2zy7k4k59d1311zy5o7hd12zy2gcj4hzxg0u1655v2z0o6169g8m3z7kge23zwj44632z0131
#C Catagolue URL: https://catagolue.hatsya.com/object/xq6_yg8siud6zyegcr4zydob11zy9gm2076d2zy7k4k59d1311zy5o7hd12zy2gcj4hzxg0u1655v2z0o6169g8m3z7kge23zwj44632z0131/b2e3-acj4ci5a6i7e8s2-a34ajk5ce7
#C breadth = 10
#CLL state-numbering golly
x = 26, y = 58, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
3bo$2bo$bo$4bo$3b2o$3bo2bo$bo3bobo$2bo$bo$4o$2ob2o$2bo2bo$2ob2o2bo
$bob2o2bobo$2bobo3bo$2bo2bob3o$3bo5bo$3b3o4b2o$5bo4bo$6b2obo$5bobo
2bobo$6bo2b2o$6bobo3bo$7bobo$7bo$8b2o$8bo$9b2obo$9bo2bo$10bob2o$
10bo$11b4o$13bo$11bo3bo$12b3obo$11bo3bo$13b2ob4o$20bo$14bo3bo$14b
2o4bo$17b2o$15bobob2o$15bobo$17bo$17bo2$18b2o$18bobo$19b2o$19bob2o
$20bo$20bo$21b2o$20b2obo$21bo2bo$21bo3bo$23b2o$24bo!

Posted: **July 17th, 2021, 5:53 am**

May13 wrote: July 17th, 2021, 5:47 am I found a knightship:

Awesome! Is it based on the linestretcher that you found earlier?

Posted: **July 17th, 2021, 6:13 am**

Inferno wrote: July 17th, 2021, 5:53 am Awesome! Is it based on the linestretcher that you found earlier?

Probably no. I restarted searching from linestretcher, but backend is not a lineeater:

Code: Select all

x = 72, y = 75, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
39bo$38bo$37bo$40bo$39b2o$39bo2bo$37bo3bobo$38bo$37bo$36b4o$36b2ob2o$
38bo2bo$36b2ob2o2bo$37bob2o2bobo$38bobo3bo$38bo2bob3o$39bo5bo$39b3o4b
2o$2b3o36bo4bo$2bobo37b2obo$2b2obo35bobo2bobo$5bo36bo2b2o$3bo2b2o34bob
o3bo$2bo4bo35bobo$2b3o38bo$2b2o40b2o$2bobo39bo$bo2bobo38bo$2o2bobo38bo
$bobo2b2o38bo$2bo5bo37bo$2bo6bo37bo$3bob4o38bo$3bo5b2o37bo$3b2obo3bo
37bo$6b2obo39bo$9bo2bo36bo$5b2o2bobo38bo$6bo5bo37bo$7b3ob2o38bo$7bobo
41bo$8bo43bo$8bo43bo$9b2o42b2o$9bob2o40bob2o$10bo2bo40bo2bo$10bo2bo40b
o2bo$11b3o41b3o$10b2o42b2o$12b2obo40b2obo$12bob2o40bob2o$12bo3b3o37bo
3b3o$13b3o2b2o37b3o2b2o2$14b2o3b3o36b2o3b3o$17b2o42b2o$15bob2o40bob2o$
14b3o4bo36b3o4bo$17b3obo39b3obo$19bobo41bobo$17b2o42b2o2$18bo43bo$18b
2o42b2o$19b2obo40b2obo$19bo2bo40bo2bo$20bobo41bobo$20bobo41bobo$21bo
43bo$21bob2o40bob2o$22bobo41bobo$21bo2bo40bo2bo$24b2o42b2o$22b3ob2o38b
3ob2o$23bob2o40bob2o!

Negative results:
3c/8o: w17 and w18 symmetric
c/8o: w11 and w14 symmetric
c/9o: w10 and w11 symmetric

Code: Select all

x = 133, y = 76, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
5$126bo$112b2o10b5o$111b4o8b2obob2o$110b6o7bob3obo$122b2obobob2o$112b
2o8b2o5b2o$112b2o12bo$122bobo3bobo$110bo4bo7bo5bo$90b2o17b2ob2ob2o$89b
4o16b2o4b2o8b3o$88bob2obo30b2ob2o$89b4o15b3o4b3o$89b4o16bo2b2o2bo9bo$
89bo2bo18b4o$88b2o2b2o15b3o2b3o$88bob2obo15bob4obo9bo$70bo16bo6bo13b2o
b4ob2o7bobo$6bo8bo54bo17b2o2b2o14b10o7bobo$5bobo6bobo53bo17bo4bo32bo$
6b2ob4ob2o51bobobobo15bo2bo33bo$4b3o2bo2bo2b3o16b3o7b3o21b2ob2o16b4o
30b2o3b2o$7bo6bo19bob2o5b2obo18bo9bo$4b2o3bo2bo3b2o16bo2bo2bo2bo2bo19b
o2b3o2bo15b2o30b3o3b3o$8bo4bo19bo3bobobobo3bo22bo52bo5bo$5bob2o4b2obo
16b3obo2bo2bob3o20bobobo17b2o31bob3obo$3bo14bo17b2obobob2o23bobobo52bo
bo$4bobo8bobo16bo4b3o4bo19b2o5b2o13b6o30bobobo$4bo2bo6bo2bo16bo2b7o2bo
19bo7bo12bobo2bobo28b2obob2o$2bobob2ob4ob2obobo13b2o11b2o17b4o3b4o10b
3o4b3o$4bo2bobo2bobo2bo15b2o2bo5bo2b2o18bo2b3o2bo12bo6bo27bo3bo3bo$5b
3ob4ob3o16bob2o2b3o2b2obo17b2o3bo3b2o10bobo4bobo27bo5bo$4bo2bo2b2o2bo
2bo16bo2b2o3b2o2bo19bo2b3o2bo11b10o27bo5bo$3b4o8b4o19bobobo25bo3bo14bo
6bo28b2obob2o$5bobo6bobo17b3o7b3o19b2o2bo2b2o12bob4obo$3bob2o8b2obo15b
ob9obo20bobobobo12b2o6b2o26b3o3b3o$3bo2b10o2bo15bo3bobobo3bo21bo3bo13b
ob6obo$4b2o2b2o2b2o2b2o15bo3bo5bo3bo20bobobo13bo2b4o2bo25bo3bobo3bo$3b
o4bo4bo4bo14bobo4bo4bobo19bo5bo11b2o3b2o3b2o26bo5bo$6b2o6b2o19b5ob5o
21bo5bo13bo2b2o2bo26bo2bo3bo2bo$3bob2o8b2obo16bobobobobobo21bo2bo2bo
11b2o3b2o3b2o25bo7bo$2bobobob6obobobo15bobo2bo2bobo23bobo14bob6obo27bo
5bo$33bo4b2ob2o4bo20bo3bo13b10o29b3o$33b4obobobob4o20bobobo15bob2obo$
33bo2b3o3b3o2bo20bobobo$67b2o3b2o14bo4bo29b7o$68bo3bo16bo2bo30bo5bo$
67b2o3b2o15bo2bo31b5o$88b2o2b2o29b7o$66bobobobobo11bobob2obobo27b3ob3o
$67bob3obo11b5o2b5o26b3ob3o$84b2o10b2o25b3ob3o$68b2ob2o13bo8bo28bo3bo$
66bob2ob2obo11bobo4bobo28bobobo$69b3o13bo10bo28b3o$69bobo13bobo6bobo
24bo2bo3bo2bo$66b3obob3o9b2o2bo4bo2b2o24bob5obo$86b2o6b2o29b3o$84bobo
2b4o2bobo25b3ob3o$85b3o6b3o25b2o5b2o$84bo4bo2bo4bo25bo5bo$85bo2bo4bo2b
o28bobo$85bob2ob2ob2obo25bo2bobo2bo$123bo5bo2$124b2ob2o!

My c/7d, c/8d and 2c/5o searches are still ongoing:

Code: Select all

x = 117, y = 61, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
8$97bo$92b11o$92bo2bobobo2bo$92b2obobobob2o$92bobobobobobo$92bo3bobo3b
o$91bo11bo$92b3o5b3o$89bob2o4bo4b2obo$18bo24b3o42bobob3o2bo2b3obobo$
18bo23b2o2b3o41bob11obo$16bo32bo38bobo3bo5bo3bobo$17bo24bobob4o39bo7bo
7bo$17bo23bo3bob2obo44b5o$18bo26bo2b2obo36b2o3b3obob3o3b2o$17b3o22b2o
6b3o36bo2b2obo3bob2o2bo$11bo5bo2bo23b2o2b2o42bo9bo$12b2ob8o20b2o3bobob
2o34b2o2bob2o3b2obo2b2o$9b2o3b2ob2o3b2o2bo21bobobob2o33bob3o7b3obo$15b
obobo2bobobo21bo2b3obo34bo13bo$16b2o2bo28bob2obobo32bo2b2o7b2o2bo$17bo
31bobo36bo5b2o3b2o5bo$17b3o29bo3bo2b2o36bo5bo$18bo34b5o31b2ob3o5b3ob2o
$19bo33bob2ob2o29bo15bo$55bo5bo27b2o2bo7bo2b2o$18b2o36b3obob2o22b3obo
13bob3o$58b4o2bo21bobobo2bo7bo2bobobo$58b2o2bobo22bo2bobobo5bobobo2bo$
62bobo22b2obo3b2o3b2o3bob2o$58bob2o3bo20bo4bo2bo5bo2bo4bo$59bo2b2obo
20bo4b2obo5bob2o4bo$59b4ob2o2b2o19bo4bobobobo4bo$64b3obob2o14b2o5bobob
obobo5b2o$65b5o2b2o13bo19bo$65bob2ob2o15bo5bobo3bobo5bo$64b4obo21bo2b
2obob2o2bo$67bo22bobo2b2ob2o2bobo$65b2obo22b3obo3bob3o$88b3obobo2bo2bo
bob3o$88bo3bo2b5o2bo3bo$88b2o2b2o7b2o2b2o$88bobo2bob5obo2bobo$95bo3bo$
88bo2bo4bobo4bo2bo$88bobo3bo5bo3bobo$87bo2bo4bo3bo4bo2bo$86b2o8b3o8b2o
!

Edit: another knightship:

Code: Select all

x = 44, y = 93, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
3bo$2bo$bo$4bo$3b2o$3bo2bo$bo3bobo$2bo$bo$4o$2ob2o$2bo2bo$2ob2o2bo$bob
2o2bobo$2bobo3bo$2bo2bob3o$3bo5bo$3b3o4b2o$5bo4bo$6b2obo$5bobo2bobo$6b
o2b2o$6bobo3bo$7bobo$7bo$8b2o$8bo$9b2obo$9bo2bo$10bob2o$10bo$11b4o$13b
o$11bo3bo$12b3obo$11bo3bo$13b2ob4o$20bo$14bo3bo$14b2o4bo$17b2o$15bobob
2o$15bobo$17bo$17bo2$18b2o$18bobo$19b2o$19bob2o$20bo$20bo2b2o$21b2obo$
21bo2b2o$22bob2o$22bob2o$23b2o$23bob2o$24bo2b3o$24bobo2bo$25bo3bo$25bo
2bobo$26b2ob3o$26bo4b3o$27bo3b2o$27bo5bo$28bo4bo$28bo5bo$29bo4bo$29bo
2b2obo$30bo$30bob2o2bo$31bo$31bob2o$32bo2bo$32bo$33bobo$33bo$34b2obo$
34bobobo$35bo2bobo$35bo2b3o$36b2o3bo$36bo3bob2o$37bo3b2o$37bo2b2o$38b
2o$37b2o2bo$38bob3o$40bobo$39bo3bo$43bo$40b2o!

Edit 2: useless 1-cell near-miss:

Code: Select all

x = 10, y = 9, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
3bo$2bobo$bo4bo$3bobobo$o$ob4o2bo$2b2obobobo$5bo$3bobo!
[[ LOOP 6 THEME 0 TRACK -1/6 -1/3 ]]

Edit 3: my c/7d search for diagonal width 10 and c/8d search for diagonal width 8 ended unsucessfully.
Edit 4: 2c/5 wickstretcher, stabilized by recent infinitely extensible c/2 spaceships:

Code: Select all

x = 43, y = 112, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
21bo$16b11o$16bo2bobobo2bo$16b2obobobob2o$16bobobobobobo$16bo3bobo3bo$
15bo11bo$16b3o5b3o$13bob2o4bo4b2obo$12bobob3o2bo2b3obobo$14bob11obo$
12bobo3bo5bo3bobo$13bo7bo7bo$19b5o$12b2o3b3obob3o3b2o$13bo2b2obo3bob2o
2bo$16bo9bo$12b2o2bob2o3b2obo2b2o$13bob3o7b3obo$14bo13bo$13bo2b2o7b2o
2bo$12bo5b2o3b2o5bo$18bo5bo$13b2ob3o5b3ob2o$13bo15bo$13b2o2bo7bo2b2o$
11b2obo13bob2o$11bo2b2o11b2o2bo$10b2o19b2o$14bo13bo$9bo23bo$8b4o19b4o
2$8bob2o19b2obo$9b2o21b2o$9bo2bo17bo2bo$8bo2bo19bo2bo$11bo19bo$8b2obo
19bob2o$8bo2bo19bo2bo$7b2o25b2o$7bo3bo19bo3bo$6bo2b2o21b2o2bo$6bo2bo
23bo2bo$8bo25bo$5b2o2bo23bo2b2o$b5obobo23bobob5o$3bobo3bo23bo3bobo$3b
2ob3o25b3ob2o$4bo33bo$b3o35b3o2$3b3o31b3o$5bo31bo2$4b2o31b2o$5bo31bo2$
4b2o31b2o$5bo31bo2$4b2o31b2o$5bo31bo2$4b2o31b2o$5bo31bo2$4b2o31b2o$5bo
31bo2$4b2o31b2o$5bo31bo2$4b2o31b2o$5bo31bo2$4b2o31b2o$5bo31bo2$4b2o31b
2o$5bo31bo$5b2o29b2o$3bo35bo$b2o3bo29bo3b2o$2bobobo29bobobo$3bobo31bob
o$6bo29bo2$4b4o27b4o$4b4o27b4o$3b2o2b2o25b2o2b2o$4b4o27b4o$4bo2bo27bo
2bo$3bob2obo25bob2obo$3b2o2b2o25b2o2b2o$4b4o27b4o$4bo2bo27bo2bo$3b2o2b
2o25b2o2b2o2$4bo2bo27bo2bo$obobo2bobobo19bobobo2bobobo$2obo4bob2o19b2o
bo4bob2o2$2obo4bob2o19b2obo4bob2o$bobo4bobo21bobo4bobo$2bo6bo23bo6bo$b
obo4bobo21bobo4bobo2$obobo2bobobo19bobobo2bobobo$o3bo2bo3bo19bo3bo2bo
3bo$bobo4bobo21bobo4bobo$2bo6bo23bo6bo!

Posted: **July 17th, 2021, 9:27 am**

a much smaller c/6 diagonal

Code: Select all

x = 7, y = 8, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
4bo$3b3o$2bo3bo$bo3bo$2b2obo$obo$3o$bo!

Posted: **March 9th, 2025, 11:26 pm**

I remembered that my old attempts to find a 2c/5 spaceship were unsuccessful. But now we have a new search program, LLSSS. Here's 2c/5 spaceship found with LLSSS:

Code: Select all

x = 25, y = 27, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7
12bo$7b11o$7bo2bobobo2bo$7b2obobobob2o$7bobobobobobo$3b2o2bo3bobo3bo2b
2o$3bob2o11b2obo$3b2o3bo7bo3b2o$bobo4b2o5b2o4bobo$bo5bo3b3o3bo5bo$o6bo
4bo4bo6bo$bo6bo7bo6bo$5bo3b3ob3o3bo$7b3o5b3o$4bobobobobobobobobo$5bo4b
2ob2o4bo$5bob2obo3bob2obo$5b6obob6o$5bo6bo6bo$12bo$6b3o3bo3b3o$6bo2bo
5bo2bo$5b2ob2o5b2ob2o$5bo13bo$7bo9bo$6b2o9b2o$8b2o5b2o!

And spaceship collection:

Code: Select all

x = 241, y = 74, rule = B2e3-acj4ci5a6i7e8/S2-a34ajk5ce7Super
3.U28.M5.M5.M10.2O16.2Q16.3S.3S16.U.U.U12.3W28.S22.3A19.A9.A19.A2.A$
2.U28.M.M3.M.M3.M.M5.2O.3O15.Q2.Q17.3S17.U2.U2.U11.W.W23.11S16.2A.A
18.A.A7.A.A17.A.A$.U28.M2.M2.M2.M2.M3.M4.3O2.O35.S.S.S19.U15.W24.S2.S
.S.S2.S17.3A17.A.A.A5.A.A.A17.2A$4.U37.M.M.M4.O19.2Q2.2Q15.S2.S17.U5.
U12.W24.2S.S.S.S.2S38.A.A7.A.A$3.2U26.2M5.2M14.O16.Q.2Q.Q15.S19.U.U.U
.U.U11.W24.S.S.S.S.S.S39.A9.A15.A$3.U2.U30.2M4.M.M8.O.O34.S.S19.U5.U
12.W20.2S2.S3.S.S3.S2.2S17.3A11.A17.A11.A$.U3.U.U36.M10.3O33.S3.S14.
2U.2U.U.2U.2U9.W20.S.2S11.2S.S31.A17.A11.A$2.U52.2O33.S3.S17.U7.U10.
3W19.2S3.S7.S3.2S31.A17.A$.U53.2O34.4S16.U9.U29.S.S4.2S5.2S4.S.S$4U
50.O.O33.3S23.U34.S5.S3.3S3.S5.S$2U.2U27.M11.M7.O.O36.S19.2U.U.U.U.2U
28.S6.S4.S4.S6.S59.2A$2.U2.U25.M.M9.M.M6.O38.S59.S6.S7.S6.S60.2A$2U.
2U2.U22.2M.M8.M3.M5.O.O37.S17.2U2.U.U.U2.2U32.S3.3S.3S3.S$.U.2U2.U.U
22.4M6.M.M.M43.S.S18.U.7U.U35.3S5.3S$2.U.U3.U23.5M16.O59.U5.U34.S.S.S
.S.S.S.S.S.S$2.U2.U.3U23.3M7.M.M7.O101.S4.2S.2S4.S$3.U5.U24.2M6.M3.M
6.O101.S.2S.S3.S.2S.S$3.3U4.2U22.M11.M108.6S.S.6S$5.U4.U144.S6.S6.S$
6.2U.U152.S$5.U.U2.U.U31.M111.3S3.S3.3S$6.U2.2U32.M.M110.S2.S5.S2.S$
6.U.U3.U29.M3.M108.2S.2S5.2S.2S$7.U.U31.2M.M.M108.S13.S$7.U33.2M.M2.M
109.S9.S$8.2U32.2M112.2S9.2S$8.U34.2M113.2S5.2S$9.2U.U$9.U2.U$10.U.2U
$10.U$11.4U$13.U$11.U3.U$12.3U.U$11.U3.U$13.2U.4U$20.U$14.U3.U$14.2U
4.U$17.2U$15.U.U.2U$15.U.U$17.U$17.U2$18.2U$18.U.U$19.2U$19.U.2U$20.U
$20.U$21.2U$20.2U.U$21.U2.U$21.U3.U$23.2U$24.U3$7.Q20.S12.U19.A3.A$6.
Q.Q17.4S10.3U17.3A.A$5.Q20.S.3S2.S6.U.U18.A$5.Q20.S.2S2.S9.2U.U$4.3Q
20.S.2S10.U3.U15.A$2.Q.3Q19.2S.S12.U3.U13.A$.Q19.3S.S.S.S13.3U$Q.Q3.
4Q.Q9.S2.5S.S13.U$7.Q.2Q.Q7.4S3.S$7.3Q.Q9.6S$8.2Q.2Q9.S.S2.S$8.Q$8.Q
14.S$22.S!

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