ConwayLife.com

Posted: **October 2nd, 2024, 9:32 am**

d/dx wrote: October 2nd, 2024, 8:16 am Small CT reaction
Code: Select all
x = 8, y = 7, rule = B2ein3cijr4jy6i/S23-ky4citwyz
2o$2bo$bo2$5b2o$6b2o$5b2o!

already found and caber tosser'd:

get_snackeTWO wrote: February 28th, 2023, 8:26 pm

Code: Select all

x = 79, y = 89, rule = B2ein3cijr4jy6i/S23-ky4citwyz
56bo$56b2o2$54b3o$53b2ob2o$53b5o$48bo2b2o5b2o$47b2ob3o2bo2b3o$50bobob
obobobo$50b3o2bo2b3ob2o$51b2o5b2o2bo$53b5o$53b2ob2o$54bobo$55bo$69bo$
68b2o$48bo$47b2o20b3o$68b2ob2o$68b5o$66b2o5b2o2bo$7bo10bo46b3o2bo2b3o
b2o$6b2o9b2o45bo2bobobobobo$65b3o2bo2b3o$7b3o56b2o5b2o$6b2ob2o57b5o$6b
5o6bo50b2ob2o$4b2o5b2o4b2o50b3o$3b3o2bo2b3o4bo$3bobobobobo2bo56b2o$2o
b3o2bo2b3o57bo$bo2b2o5b2o$6b5o$6b2ob2o$7b3o14b2o28b2o$25b2o27b2o$9b2o
44bo$9bo$23bo36b2o$22bobo25bo11bo$21b2ob2o24b2o8b2o$21b5o$16bo2b2o5b2o
20b3o$15b2ob3o2bo2b3o18b2ob2o$18bobobobobobo11bo6b5o$18b3o2bo2b3ob2o7b
2o4b2o5b2o$19b2o5b2o2bo8bo4b3o2bo2b3o$21b5o17bo2bobobobobo$21b2ob2o18b
3o2bo2b3ob2o$22b3o20b2o5b2o2bo$47b5o$21b2o24b2ob2o$22b2o8b2o14b3o$23b
o7b2o$47b2o$48bo$34bo$33bobo$32b2ob2o$32b5o$27bo2b2o5b2o$26b2ob3o2bo2b
3o$29bobobobobobo$29b3o2bo2b3ob2o$30b2o5b2o2bo$32b5o$32b2ob2o$33bobo$
34bo$60b2o$60b3o$18bo$18b2o13bobo27bo$33bobo26b2o$16b3o15b2o26b2o$15b
2ob2o15bo$15b5o14b2o$10bo2b2o5b2o38b2o$9b2ob3o2bo2b3o4b2o32bo$12bobob
obobo2bo5bobo$12b3o2bo2b3o4b5o$13b2o5b2o$15b5o$15b2ob2o$16b3o2$15b2o11b
2o$16bo12bo!

(original with a hat by GUYTU6J)

Posted: **October 2nd, 2024, 6:19 pm**

Code: Select all

x = 78, y = 50, rule = B2ein3cijr4jy6i/S23-ky4citwyz
7bo$6b2o6$3b3o$4b2o2$76b2o$76b2o$76bo5$3b3o$4b2o9$b3o$2b2o9$3o$b2o10$
2b3o$3b2o!

Probably useless reactions, but I still wanted to share them because they're kinda funny at least

Code: Select all

x = 98, y = 98, rule = B2ein3cijr4jy6i/S23-ky4citwyz
69bo10bo$69b2o9b2o3$69b3o$69b2o7b3o$78bobo$76b3ob3o$70b2o4bo5bo$71b2o
3b3ob3o3b2o$9bo68bobo5bo$9b2o67b3o2$60b2o$60b2o2bo$7b3o38b2o10bo3b2o11b
2o$bo5bobo39b2o14bo12bo$2o3b3ob3o38b2o$5bo5bo39bo$5b3ob3o3b2o$7bobo5b
o47b3o$7b3o53bobo5bo$61b3ob3o3b2o$61bo5bo$56b2o3b3ob3o$7bobo12bo34bo5b
obo$7b3o11b2o40b3o$bo6bo$2o43bo11bo$8bo36b2o9b2o$6b2o14b3o21bob2o3b2o
bo8b2o$22bobo5bo15b5ob5o8bo$15b2o3b3ob3o3b2o16bobobobo$12bob2o4bo5bo23b
obo$11bo3b2o3b3ob3o24bo$11bo10bobo$22b3o4$24b2o2b2o$24bo4b2o$30b2o2$25b
obo$25bob2o39b2o$17b2o9b2o37b2o$16b2o7bob2o35b2obo$15b2o8bobo19b2o33b
o$15bo30b2o33b2o$30b2o14bo11b2o20b2o$29b2o27bo20bo2bo$28b2o16bo11b2o20b
2ob2o$45b3o33b4o$45bobo$64b2obo$67b2o4bo$68b2o2b2o4$73b3o$73bobo$71b3o
b3o$71bo5bo$66b2o3b3ob3o$32bo9bo7bo16bo5bobo$31b2o8b2o7b2o21b3o$40b2o
9b2o$40bo11bo43b2o$96bo$32b3o40b2o$32bobo5bo34bo$30b3ob3o3b2o$30bo5bo
8b3o$25b2o3b3ob3o8bobo$26bo5bobo9b2ob2o39b3o$32b3o47bo5bobo$81b2o3b3o
b3o$86bo5bo$45b4o37b3ob3o3b2o$19bo12bobo11bobo39bobo5bo$19b2o11b3o13b
2o38b3o$33bo3$17b3o67b2o$11bo5bobo68bo$10b2o3b3ob3o3b2o$15bo5bo4b2o$15b
3ob3o3b2o$17bobo$17b3o4$16b2o9b2o$17bo10bo!

Convoluted p64 W hassler. Made for the sole purpose of showcasing a single reaction (everything else in the oscillator has already been posted on the thread).

Posted: **October 3rd, 2024, 1:45 am**

Rake from catagolue

Code: Select all

x = 10, y = 7, rule = B2ein3cijr4jy6i/S23-ky4citwyz
$2b2ob2o$3b3o2$o2bobo2bo$b2o3b2o!

Posted: **October 3rd, 2024, 10:12 am**

quadri-eater for p16 u stream (feat. rephasing reaction)

Code: Select all

x = 30, y = 8, rule = B2ein3cijr4jy6i/S23-ky4citwyz
28b2o$27b2o$26b2o$25b2o$25bo$2o4b2o3b2o3b2o$2bo4bo4b2o4bo$2o4b2o3b2o3b
2o!

Posted: **October 3rd, 2024, 1:23 pm**

d/dx wrote: October 3rd, 2024, 10:12 am quadri-eater for p16 u stream (feat. rephasing reaction)
Code: Select all
x = 30, y = 8, rule = B2ein3cijr4jy6i/S23-ky4citwyz
28b2o$27b2o$26b2o$25b2o$25bo$2o4b2o3b2o3b2o$2bo4bo4b2o4bo$2o4b2o3b2o3b
2o!

already known:

get_Snacked wrote: January 3rd, 2023, 2:02 pm

Code: Select all

#C cvojan's quadruple U catalyst that rephases the last
x = 25, y = 17, rule = B2ein3cijr4jy6i/S23-ky4citwyz
7bo$6b2o2$24bo$8bo14b2o$7bobo13bo$bo5bobo$2o3b3ob3o3b2o$4bo7bo4bo$5b3o
b3o3b2o$7bobo$7bobo$8bo3$6b2o$7bo!

always be sure to check the thread's past to make sure you aren't rediscovering by accident.

Posted: **October 3rd, 2024, 2:29 pm**

2U->P

Code: Select all

x = 8, y = 8, rule = B2ein3cijr4jy6i/S23-ky4citwyz
2o$2bo$2o3$6bo$5b3o$5bobo!

Posted: **October 6th, 2024, 3:22 pm**

2S -> 2 guns

Code: Select all

x = 14, y = 6, rule = B2ein3cijr4jy6i/S23-ky4citwyz
o$bo$bo11bo$o11bo$12bo$13bo!

Posted: **October 16th, 2024, 1:51 pm**

Strictly volatile p20

Code: Select all

x = 15, y = 15, rule = B2ein3cijr4jy6i/S23-ky4citwyz
3b2o2bo2b2o$2b3obobob3o$bo11bo$2o11b2o$2o11b2o2$bo11bo$o13bo$bo11bo2$
2o11b2o$2o11b2o$bo11bo$2b3obobob3o$3b2o2bo2b2o!

two p15's

Code: Select all

x = 28, y = 8, rule = B2ein3cijr4jy6i/S23-ky4citwyz
bo14bobo$b2o13b4o6bo$19b2o3b3o$4o13b3o3b2o$o2b2o12bo6b4o$3bo21bobo$bob
2o$2o!

p65 and p79 oscillators created by the p16 gun getting rephased

Code: Select all

x = 27, y = 27, rule = B2ein3cijr4jy6i/S23-ky4citwyz
8bo$8b2o$9b2o$10bo$13bo$14bo$14bo2$2o$b2o$2b2o8b3o$12bobo$10b3ob3o3b2o
$4bo5bo5bo5bo$5b2o3b3ob3o$12bobo$12b3o8b2o$24b2o$25b2o2$12bo$12bo$13bo
$16bo$16b2o$17b2o$18bo!

Code: Select all

x = 27, y = 27, rule = B2ein3cijr4jy6i/S23-ky4citwyz
8b2o$9b2o$10b2o$13b2o$14bo2$13bo$12bobo$o11bobo$2o$b2o$2bo10bo$7b2o3b
3o3b2o2b2o$3bo2bo4b2ob2o4bo2bo$3b2o2b2o3b3o3b2o$13bo10bo$24b2o$25b2o$
12bobo11bo$12bobo$13bo2$12bo$12b2o$15b2o$16b2o$17b2o!

Posted: **October 16th, 2024, 4:46 pm**

G+G:

Code: Select all

x = 405, y = 129, rule = B2ein3cijr4jy6i/S23-ky4citwyz
180bo2bo26bo2bo25bo2bo26bo2bo26bo2bo27bo2bo25bo2bo26bo2bo$o9bo30bo8bo
27bo8bo93b2o28b2o27b2o28b2o28b2o29b2o27b2o28b2o$bo7bo32bo7b2o27bo6bo$
bo7bo32bo7b2o27bo6bo$o9bo30bo8bo27bo8bo$188bo30bo29bo30bo30bo31bo29bo
30bo$187bo30bo29bo30bo30bo31bo29bo30bo$187bo30bo29bo30bo30bo31bo29bo30b
o$188bo30bo29bo30bo30bo31bo29bo30bo16$o40bo36bo$bo8bo31bo7bo28bo7bo$b
o7bo32bo7b2o27bo6bo$o8bo31bo8b2o26bo7bo$10bo39bo36bo3$180bo2bo26bo2bo
25bo2bo26bo2bo26bo2bo27bo2bo25bo2bo26bo2bo$181b2o28b2o27b2o28b2o28b2o
29b2o27b2o28b2o4$187bo30bo29bo30bo30bo31bo29bo30bo$187b2o29b2o28b2o29b
2o29b2o30b2o28b2o29b2o$187b2o29b2o28b2o29b2o29b2o30b2o28b2o29b2o$187b
o30bo29bo30bo30bo31bo29bo30bo8$o40bo36bo$bo40bo36bo$bo8bo31bo7bo28bo7b
o$o8bo31bo8b2o26bo7bo$9bo40b2o34bo$10bo39bo36bo18$o40bo36bo$bo40bo36b
o$bo40bo36bo$o9bo30bo8bo27bo8bo$9bo40b2o34bo$9bo40b2o34bo$10bo39bo36b
o18$o40bo36bo$bo40bo36bo$bo40bo36bo$o40bo36bo$10bo39bo36bo$9bo40b2o34b
o$9bo40b2o34bo$10bo39bo36bo19$o40bo$bo40bo$bo40bo$o40bo2$10bo39bo$9bo
40b2o$9bo40b2o$10bo39bo!

Posted: **October 22nd, 2024, 3:36 pm**

get_Snacked wrote: September 29th, 2024, 4:30 pm here's a VERY late question:
how did you guys find all these catalysts?

I found the one in my post by hand. I'm not sure how the other ones were found.

Also, I think this rule is really interesting! I'll probably do more with it in the near future.

Posted: **October 23rd, 2024, 10:22 am**

hibiscus wrote: October 16th, 2024, 1:51 pm Strictly volatile p20

Code: Select all

x = 15, y = 15, rule = B2ein3cijr4jy6i/S23-ky4citwyz
3b2o2bo2b2o$2b3obobob3o$bo11bo$2o11b2o$2o11b2o2$bo11bo$o13bo$bo11bo2$
2o11b2o$2o11b2o$bo11bo$2b3obobob3o$3b2o2bo2b2o!

two p15's

Code: Select all

x = 28, y = 8, rule = B2ein3cijr4jy6i/S23-ky4citwyz
bo14bobo$b2o13b4o6bo$19b2o3b3o$4o13b3o3b2o$o2b2o12bo6b4o$3bo21bobo$bob
2o$2o!

dang, i don't remember seeing ANY of those in the apgsearch censuses.
oh, wait. that's because people started searching more. thank you!
EDIT: oh, nevermind. i'm guessing you found the oscillators via nbsearch2a?

hibiscus wrote: October 16th, 2024, 1:51 pm p65 and p79 oscillators created by the p16 gun getting rephased

Code: Select all

x = 27, y = 27, rule = B2ein3cijr4jy6i/S23-ky4citwyz
8bo$8b2o$9b2o$10bo$13bo$14bo$14bo2$2o$b2o$2b2o8b3o$12bobo$10b3ob3o3b2o
$4bo5bo5bo5bo$5b2o3b3ob3o$12bobo$12b3o8b2o$24b2o$25b2o2$12bo$12bo$13bo
$16bo$16b2o$17b2o$18bo!

Code: Select all

x = 27, y = 27, rule = B2ein3cijr4jy6i/S23-ky4citwyz
8b2o$9b2o$10b2o$13b2o$14bo2$13bo$12bobo$o11bobo$2o$b2o$2bo10bo$7b2o3b
3o3b2o2b2o$3bo2bo4b2ob2o4bo2bo$3b2o2b2o3b3o3b2o$13bo10bo$24b2o$25b2o$
12bobo11bo$12bobo$13bo2$12bo$12b2o$15b2o$16b2o$17b2o!

i should've thought of doing that, lol. still hoping for reflectors to make adjustable oscillators from a certain starting period onward. that way, we can prove omniperiodicity!

R2INT wrote: October 16th, 2024, 4:46 pm G+G:

Code: Select all

x = 405, y = 129, rule = B2ein3cijr4jy6i/S23-ky4citwyz
180bo2bo26bo2bo25bo2bo26bo2bo26bo2bo27bo2bo25bo2bo26bo2bo$o9bo30bo8bo
27bo8bo93b2o28b2o27b2o28b2o28b2o29b2o27b2o28b2o$bo7bo32bo7b2o27bo6bo$
bo7bo32bo7b2o27bo6bo$o9bo30bo8bo27bo8bo$188bo30bo29bo30bo30bo31bo29bo
30bo$187bo30bo29bo30bo30bo31bo29bo30bo$187bo30bo29bo30bo30bo31bo29bo30b
o$188bo30bo29bo30bo30bo31bo29bo30bo16$o40bo36bo$bo8bo31bo7bo28bo7bo$b
o7bo32bo7b2o27bo6bo$o8bo31bo8b2o26bo7bo$10bo39bo36bo3$180bo2bo26bo2bo
25bo2bo26bo2bo26bo2bo27bo2bo25bo2bo26bo2bo$181b2o28b2o27b2o28b2o28b2o
29b2o27b2o28b2o4$187bo30bo29bo30bo30bo31bo29bo30bo$187b2o29b2o28b2o29b
2o29b2o30b2o28b2o29b2o$187b2o29b2o28b2o29b2o29b2o30b2o28b2o29b2o$187b
o30bo29bo30bo30bo31bo29bo30bo8$o40bo36bo$bo40bo36bo$bo8bo31bo7bo28bo7b
o$o8bo31bo8b2o26bo7bo$9bo40b2o34bo$10bo39bo36bo18$o40bo36bo$bo40bo36b
o$bo40bo36bo$o9bo30bo8bo27bo8bo$9bo40b2o34bo$9bo40b2o34bo$10bo39bo36b
o18$o40bo36bo$bo40bo36bo$bo40bo36bo$o40bo36bo$10bo39bo36bo$9bo40b2o34b
o$9bo40b2o34bo$10bo39bo36bo19$o40bo$bo40bo$bo40bo$o40bo2$10bo39bo$9bo
40b2o$9bo40b2o$10bo39bo!

nice! by the way, the grin is the least common of the spaceships of the rule. maybe someone could enumerate all 2U or 2P collisions as they're more common?

Chai wrote: October 22nd, 2024, 3:36 pm Also, I think this rule is really interesting! I'll probably do more with it in the near future.

thanks!
EDIT II:

CARuler wrote: October 6th, 2024, 3:22 pm 2S -> 2 guns
Code: Select all
x = 14, y = 6, rule = B2ein3cijr4jy6i/S23-ky4citwyz
o$bo$bo11bo$o11bo$12bo$13bo!

by the way, those are G (grin)'s, not S's. (idk what u thought s was)
EDIT III:

R2INT wrote: October 23rd, 2024, 10:31 am U+U:

Code: Select all

x = 564, y = 128, rule = B2ein3cijr4jy6i/S23-ky4citwyz
88b2o15b2o27b2o14b2o$2o15b2o27b2o15b2o24bo14bo30bo14bo$bo15bo29bo14b2o
24b2o15b2o27b2o14b2o$2o15b2o27b2o15b2o10$229b2o45b2o46b2o43b2o44b2o44b
2o46b2o51b2o$229bo46bo47bo44bo45bo45bo47bo52bo$229b2o45b2o46b2o43b2o44b
2o44b2o46b2o51b2o6$221b3o43b3o44b3o41b3o42b3o42b3o44b3o49b3o$221bobo43b
obo44bobo41bobo42bobo42bobo44bobo49bobo8$88b2o44b2o$2o44b2o41bo15b2o28b
o14b2o$bo15b2o28bo15b2o23b2o14bo29b2o14bo$2o15bo28b2o14b2o41b2o43b2o$
17b2o44b2o21$88b2o44b2o$2o44b2o41bo45bo$bo45bo40b2o15b2o27b2o14b2o$2o
15b2o27b2o15b2o39bo45bo$17bo44b2o41b2o43b2o77b2o45b2o46b2o43b2o44b2o44b
2o46b2o51b2o$17b2o44b2o163b2o45b2o46b2o43b2o44b2o44b2o46b2o51b2o$229b
2o45b2o46b2o43b2o44b2o44b2o46b2o51b2o6$221b3o43b3o44b3o41b3o42b3o42b3o
44b3o49b3o$221bobo43bobo44bobo41bobo42bobo42bobo44bobo49bobo17$88b2o44b
2o$2o44b2o41bo45bo$bo45bo40b2o44b2o$2o44b2o57b2o43b2o$17b2o44b2o39bo45b
o$17bo44b2o41b2o43b2o$17b2o44b2o12$231b2o45b2o46b2o43b2o44b2o44b2o46b
2o$230bo46bo47bo44bo45bo45bo47bo$231b2o45b2o46b2o43b2o44b2o44b2o46b2o
6$222b3o43b3o44b3o41b3o42b3o42b3o44b3o$222bobo43bobo44bobo41bobo42bob
o42bobo44bobo8$88b2o44b2o$2o44b2o41bo45bo$bo45bo40b2o44b2o$2o44b2o$105b
2o43b2o$17b2o44b2o39bo45bo$17bo44b2o41b2o43b2o$17b2o44b2o!

LOL THAT WAS QUICK
i'm guessing you use shipcolls?
EDIT IV:

hibiscus wrote: October 23rd, 2024, 10:40 am Actually, while I'm here, here's a p19 from the same nbsearch run that I forgot to publish for some reason.
Code: Select all
x = 15, y = 15, rule = B2ein3cijr4jy6i/S23-ky4citwyz
7b2o$8b2o2$7bo$6bobo$bo4bobo$2o2b2obob2o$o2bo2bobo2bo2bo$4b2obob2o2b2o
$6bobo4bo$6bobo$7bo2$5b2o$6b2o!

reduced:

Code: Select all

x = 15, y = 15, rule = B2ein3cijr4jy6i/S23-ky4citwyz
8bo$8b2o2$7bo$6bobo$bo4bobo$2o2b2obob2o$3bo2bobo2bo$4b2obob2o2b2o$6bo
bo4bo$6bobo$7bo2$5b2o$6bo!

agar and stabilisation:

Code: Select all

x = 37, y = 37, rule = B2ein3cijr4jy6i/S23-ky4citwyz
25bo$15bo9b2o$5bo9b2o$5b2o20bo$17bo8bobo$7bo8bobo7bobo4b2o$6bobo7bobo
5b2obob2o2bo$6bobo5b2obob2o2bo2bobo2bo$4b2obob2o2bo2bobo2bo2b2obob2o$
3bo2bobo2bo2b2obob2o5bobo$bo2b2obob2o5bobo7bobo$2o4bobo7bobo8bo$6bobo
8bo$7bo20bo$18bo8bobo$8bo8bobo7bobo4b2o$7bobo7bobo5b2obob2o2bo$2bo4bo
bo5b2obob2o2bo2bobo2bo$b2o2b2obob2o2bo2bobo2bo2b2obob2o$4bo2bobo2bo2b
2obob2o5bobo$5b2obob2o5bobo7bobo$7bobo7bobo8bo$7bobo8bo$8bo20bo$19bo8b
obo$9bo8bobo7bobo4b2o$8bobo7bobo5b2obob2o2bo$3bo4bobo5b2obob2o2bo2bob
o2bo$2b2o2b2obob2o2bo2bobo2bo2b2obob2o$5bo2bobo2bo2b2obob2o5bobo$6b2o
bob2o5bobo7bobo$8bobo7bobo8bo$8bobo8bo$9bo17b2o$17b2o8bo$7b2o8bo$8bo!

EDIT V: wow, this humongous post finally got some constructiveness!!! yay!!!

R2INT wrote: October 23rd, 2024, 10:31 am EDIT: p4 ,p6
Code: Select all
x = 18, y = 6, rule = B2ein3cijr4jy6i/S23-ky4citwyz
16b2o$bobo11b2o$b2obo$4bo10bo$2o10b2ob2o$bo11bo!

both are already known. even though it has barely any objects, be sure to check the Catagolue census!
xp4_230uq
xp6_gk08r2z1

Posted: **October 23rd, 2024, 10:31 am**

U+U:

Code: Select all

x = 564, y = 128, rule = B2ein3cijr4jy6i/S23-ky4citwyz
88b2o15b2o27b2o14b2o$2o15b2o27b2o15b2o24bo14bo30bo14bo$bo15bo29bo14b2o
24b2o15b2o27b2o14b2o$2o15b2o27b2o15b2o10$229b2o45b2o46b2o43b2o44b2o44b
2o46b2o51b2o$229bo46bo47bo44bo45bo45bo47bo52bo$229b2o45b2o46b2o43b2o44b
2o44b2o46b2o51b2o6$221b3o43b3o44b3o41b3o42b3o42b3o44b3o49b3o$221bobo43b
obo44bobo41bobo42bobo42bobo44bobo49bobo8$88b2o44b2o$2o44b2o41bo15b2o28b
o14b2o$bo15b2o28bo15b2o23b2o14bo29b2o14bo$2o15bo28b2o14b2o41b2o43b2o$
17b2o44b2o21$88b2o44b2o$2o44b2o41bo45bo$bo45bo40b2o15b2o27b2o14b2o$2o
15b2o27b2o15b2o39bo45bo$17bo44b2o41b2o43b2o77b2o45b2o46b2o43b2o44b2o44b
2o46b2o51b2o$17b2o44b2o163b2o45b2o46b2o43b2o44b2o44b2o46b2o51b2o$229b
2o45b2o46b2o43b2o44b2o44b2o46b2o51b2o6$221b3o43b3o44b3o41b3o42b3o42b3o
44b3o49b3o$221bobo43bobo44bobo41bobo42bobo42bobo44bobo49bobo17$88b2o44b
2o$2o44b2o41bo45bo$bo45bo40b2o44b2o$2o44b2o57b2o43b2o$17b2o44b2o39bo45b
o$17bo44b2o41b2o43b2o$17b2o44b2o12$231b2o45b2o46b2o43b2o44b2o44b2o46b
2o$230bo46bo47bo44bo45bo45bo47bo$231b2o45b2o46b2o43b2o44b2o44b2o46b2o
6$222b3o43b3o44b3o41b3o42b3o42b3o44b3o$222bobo43bobo44bobo41bobo42bob
o42bobo44bobo8$88b2o44b2o$2o44b2o41bo45bo$bo45bo40b2o44b2o$2o44b2o$105b
2o43b2o$17b2o44b2o39bo45bo$17bo44b2o41b2o43b2o$17b2o44b2o!

EDIT: p4 ,p6

Code: Select all

x = 18, y = 6, rule = B2ein3cijr4jy6i/S23-ky4citwyz
16b2o$bobo11b2o$b2obo$4bo10bo$2o10b2ob2o$bo11bo!

Posted: **October 23rd, 2024, 10:40 am**

get_Snacked wrote: October 23rd, 2024, 10:22 am EDIT: oh, nevermind. i'm guessing you found the oscillators via nbsearch2a?

Yeah. Actually, while I'm here, here's a p19 from the same nbsearch run that I forgot to publish for some reason.

Code: Select all

x = 15, y = 15, rule = B2ein3cijr4jy6i/S23-ky4citwyz
7b2o$8b2o2$7bo$6bobo$bo4bobo$2o2b2obob2o$o2bo2bobo2bo2bo$4b2obob2o2b2o
$6bobo4bo$6bobo$7bo2$5b2o$6b2o!

Posted: **October 23rd, 2024, 10:52 am**

P+P:

Code: Select all

x = 445, y = 360, rule = B2ein3cijr4jy6i/S23-ky4citwyz
71b2o18b2o17b2o18b2o17b2o$70b3o17b3o16b3o17b3o16b3o4$304b2o25b2o25b2o
29b2o32b2o$303b3o24b3o24b3o28b3o31b3o7$70b3o16b3o15b3o16b3o15b3o$71b2o
17b2o16b2o17b2o16b2o156b3o25b3o25b3o29b3o32b3o$303b2o26b2o26b2o30b2o33b
2o14$305bo26bo26bo30bo33bo$72bo19bo18bo19bo18bo152bobo24bobo24bobo28b
obo31bobo$70bobo17bobo16bobo17bobo16bobo153bo26bo26bo30bo33bo$71bo19b
o18bo19bo18bo6$303b3o25b3o25b3o29b3o32b3o$303b2o26b2o26b2o30b2o33b2o4$
70b3o16b3o15b3o16b3o15b3o$71b2o17b2o16b2o17b2o16b2o9$305b2o25b2o25b2o
29b2o$304b3o24b3o24b3o28b3o5$72b2o18b2o17b2o18b2o17b2o$71b3o17b3o16b3o
17b3o16b3o$304b3o25b3o25b3o29b3o$304b2o26b2o26b2o30b2o9$71b3o16b3o15b
3o16b3o15b3o$72b2o17b2o16b2o17b2o16b2o82$116bo30bo31bo27bo26bo29bo32b
o34bo$116b2o29b2o30b2o26b2o25b2o28b2o31b2o33b2o$116b2o29b2o30b2o26b2o
25b2o28b2o31b2o33b2o6$108b3o27b3o28b3o24b3o23b3o26b3o29b3o31b3o$109b2o
28b2o29b2o25b2o24b2o27b2o30b2o32b2o23$117bo30bo31bo27bo26bo29bo32bo34b
o$116bo30bo31bo27bo26bo29bo32bo34bo$117b2o29b2o30b2o26b2o25b2o28b2o31b
2o33b2o6$109b3o27b3o28b3o24b3o23b3o26b3o29b3o31b3o$110b2o28b2o29b2o25b
2o24b2o27b2o30b2o32b2o39$4b2o33b2o29b2o33b2o32b2o33b2o29b2o33b2o28b2o
33b2o29b2o33b2o32b2o33b2o$4b2o33b2o29b2o33b2o32b2o33b2o29b2o33b2o28b2o
33b2o29b2o33b2o32b2o33b2o$4bo34bo30bo34bo33bo34bo30bo34bo29bo34bo30bo
34bo33bo34bo8$3o31b3o27b3o31b3o30b3o31b3o27b3o31b3o26b3o31b3o27b3o31b
3o30b3o31b3o$b2o32b2o28b2o32b2o31b2o32b2o28b2o32b2o27b2o32b2o28b2o32b
2o31b2o32b2o27$7b2o33b2o29b2o33b2o32b2o33b2o29b2o33b2o28b2o33b2o29b2o
33b2o32b2o33b2o$6bo34bo30bo34bo33bo34bo30bo34bo29bo34bo30bo34bo33bo34b
o$7bo34bo30bo34bo33bo34bo30bo34bo29bo34bo30bo34bo33bo34bo8$3b3o31b3o27b
3o31b3o30b3o31b3o27b3o31b3o26b3o31b3o27b3o31b3o30b3o31b3o$4b2o32b2o28b
2o32b2o31b2o32b2o28b2o32b2o27b2o32b2o28b2o32b2o31b2o32b2o41$143b2o26b
2o24b2o26b2o24b2o26b2o24b2o$143b2o26b2o24b2o26b2o24b2o26b2o24b2o$143b
o27bo25bo27bo25bo27bo25bo7$134b3o24b3o22b3o24b3o22b3o24b3o22b3o$134b2o
25b2o23b2o25b2o23b2o25b2o23b2o15$145b2o26b2o24b2o26b2o24b2o26b2o24b2o
$144bo27bo25bo27bo25bo27bo25bo$145bo27bo25bo27bo25bo27bo25bo7$136b3o24b
3o22b3o24b3o22b3o24b3o22b3o$136b2o25b2o23b2o25b2o23b2o25b2o23b2o!

Both syntheses were tabulated by hand.

EDIT: p19 reduction

Code: Select all

x = 15, y = 15, rule = B2ein3cijr4jy6i/S23-ky4citwyz
8bo$8b2o4$bo$2o4b3o$6bobo$6b3o4b2o$13bo4$5b2o$6bo!

Posted: **October 23rd, 2024, 1:38 pm**

Final step for the synthesis of the strictly volatile p20:

Code: Select all

x = 41, y = 41, rule = B2ein3cijr4jy6i/S23-ky4citwyz
20b2o$19b3o6$7bo24b2o$7bobo21bo$8bo23bo5$17b2o3b2o$15b3o5b3o$15bo9bo$
14b2o9b2o$14bo11bo$2o37bo$2o37b2o$bo37b2o$14bo11bo$14b2o9b2o$15bo9bo$
15b3o5b3o$17b2o3b2o5$8bo23bo$9bo21bobo$7b2o24bo6$19b3o$19b2o!

Posted: **October 30th, 2024, 11:35 am**

another H gun:

Code: Select all

x = 39, y = 21, rule = B2ein3cijr4jy6i/S23-ky4citwyz
15bo4b2o$14b2o4bo$21bo$15b2o3b2o$9bo5bo13bo$9b2o17b2o5$bo35bo$2o5b3o19b
3o5b2o$7bobo19bobo$7b3o19b3o6$6b2o23b2o$7bo23bo!

this one might be better to work with because its period is, of course, divisible by sixteen.
------------------------------------------------------------------------------------------------------------------------------------------------------
i've been experimenting on a modification of this rule, toggled B3k. here are some things which don't work in the original:

Code: Select all

x = 7, y = 7, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
5bo$6bo$4bo$3bo2$bo$o!

sawtooth potential?:

Code: Select all

x = 17, y = 46, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
11bo$11bo$11bo23$bo$b2o2$2o$o6$15bo$7b3o5b2o$7bobo$2o5b3o$bo5$9b2o$9b
o!

i'm beginning to wonder if this rule is better than the original.
EDIT:

Code: Select all

x = 8, y = 5, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
obo$3o$6b2o$6bo$6b2o!

EDIT II: miniblinker rephasing reaction

Code: Select all

x = 5, y = 5, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
4bo$3bo$bo$obo$bo!

Posted: **November 3rd, 2024, 11:58 pm**

p31 with B3k

Code: Select all

x = 19, y = 19, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
6bo5bo$7bo3bo2$9bo$8b3o$8bobo$o7bobo7bo$bo6bobo6bo$4b4obob4o$3b2o3bobo
3b2o$4b4obob4o$bo6bobo6bo$o7bobo7bo$8bobo$8b3o$9bo2$7bo3bo$6bo5bo!

p23 in the original

Code: Select all

x = 11, y = 11, rule = B2ein3cijr4jy6i/S23-ky4citwyz
9b2o$8b2o$6bo$4bob2o$3bo2b2o$6bo$2b4o$3b2o$bo$2o$o!

For proving omniperiodicity, this is all the periods we don't have: p21-p22, p24-p31, p33-p47, p49-p63, p66-p78, p80-p93.

Posted: **November 6th, 2024, 1:53 pm**

get_Snacked wrote: October 30th, 2024, 11:35 am EDIT II: miniblinker rephasing reaction
Code: Select all
x = 5, y = 5, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
4bo$3bo$bo$obo$bo!

The o$bo! is not being rephased. It is simply a catalyst.

Posted: **November 6th, 2024, 1:57 pm**

d/dx wrote: November 6th, 2024, 1:53 pm
get_Snacked wrote: October 30th, 2024, 11:35 am EDIT II: miniblinker rephasing reaction
Code: Select all
x = 5, y = 5, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
4bo$3bo$bo$obo$bo!
The o$bo! is not being rephased. It is simply a catalyst.

i knew that (metaphorical facepalm) i don't know why i said rephasing
EDIT:

hibiscus wrote: November 3rd, 2024, 11:58 pm p31 with B3k

Code: Select all

x = 19, y = 19, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
6bo5bo$7bo3bo2$9bo$8b3o$8bobo$o7bobo7bo$bo6bobo6bo$4b4obob4o$3b2o3bobo
3b2o$4b4obob4o$bo6bobo6bo$o7bobo7bo$8bobo$8b3o$9bo2$7bo3bo$6bo5bo!

definitely not surprised at the versatility of this p2.
EDIT II:
i think the only problem with adding B3k is that some catalysts in the original rely on the absence of B3k (especially aircraft carrier variants).

Posted: **November 13th, 2024, 7:56 pm**

get_Snacked wrote: October 30th, 2024, 11:35 am sawtooth potential?:
Code: Select all
x = 17, y = 46, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
11bo$11bo$11bo23$bo$b2o2$2o$o6$15bo$7b3o5b2o$7bobo$2o5b3o$bo5$9b2o$9b
o!

i just realised that this would need a spaceship slower than c/3o, which i feel may not be easy because of how common c/3o frontends are.
here's a rather simple killer mini-blinkers synthesis--it's surprising that this constellation is so common but doesn't seem to have any common predecessor or converging pattern.

Code: Select all

x = 12, y = 25, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
10b2o$9b2o$10b2o6$3o$obo13$5bo$4b3o$4bobo!

EDIT: this should be an easy hat gun synthesis which i forgot to mention:

Code: Select all

x = 7, y = 3, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
2o3b2o$bo3bo$2o3b2o!

EDIT II: here's a p3 that can probably be extended in some way which i can't find:

Code: Select all

x = 3, y = 4, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
o$bo$bo$2bo!

EDIT III: possible catalysis:

Code: Select all

x = 5, y = 4, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
2bo$3bo$o2bo$4bo!

EDIT IV: oops i found this on accident (works in both original and +b3k and is on catagolue)

Code: Select all

x = 5, y = 4, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
2bobo$bo2bo$2obo$3b2o!

also random partial that doesn't have a solution (probably)

Code: Select all

x = 6, y = 7, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
5bo$4bo2$2bo$bo2bo$2obo$3b2o!

EDIT V:
oh ye there's this as well with miniblinker extensibility:

Code: Select all

x = 16, y = 11, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
9bo$10bo$8bo$12bo$6bo$14bo$4bo10bo2$2bo$o$bo!

EDIT VI: 3k on-off:

Code: Select all

x = 6, y = 5, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
3b2o$o2bo$2o2bo$2bob2o$b2o!

Posted: **January 2nd, 2025, 8:56 pm**

4 bits to 32 bits:

Code: Select all

x = 4, y = 4, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
2bo$3bo$o$bo!

i have more discoveries, but i'll post them when i come back from eating food *nom nom nom*
EDIT: can someone search for a wickstretcher and fencepost for the wick that comes from infinitely extending the pattern above?

Code: Select all

x = 22, y = 22, rule = B2ein3cijkr4jy6i/S23-ky4citwyz:T22,22
20bo$21bo$18bo$19bo$16bo$17bo$14bo$15bo$12bo$13bo$10bo$11bo$8bo$9bo$6b
o$7bo$4bo$5bo$2bo$3bo$o$bo!

also, the full results for the search on b2ein3cijkr4jy6is23-ky4citwyz/D8_4 are available, so someone may sift through them if they want to.
lastly, if confocaloid sees this, can you do an agar search for b2ein3cijkr4jy6is23-ky4citwyz?

Posted: **March 4th, 2025, 11:43 am**

p52 P gun:

Code: Select all

x = 35, y = 13, rule = B2ein3cijkr4jy6i/S23-ky4citwyz
3b2o$2obo$bo$5bo8bo15b2o$2bo2bo7bobo15bob2o$2bo2bo8bo18bo$5bo23bo$bo18b
o8bo2bo$2obo15bobo7bo2bo$3b2o15bo8bo$33bo$31bob2o$30b2o!

Posted: **March 6th, 2025, 11:30 am**

Have a RT36 H reflector:

Code: Select all

x = 42, y = 25, rule = B2ein3cijr4jy6i/S23-ky4citwyz
6$6bo11bo$6b2o10b2o$4bo3bo7bo3bo$6b2o10b2o$6bo11bo2$26b2o$18bobo6b2o$
17b2ob2o6bo!

This reduces the set of oscillators needed to prove omniperiodicity to just: p21-p22, p24-p31, p33-p35.
Edit: updated list: p21-p22, p24, p26, p28-p31, p33-p35.
If I could improve the way that blinker gets removed I could maybe drop the RT at the expense of bigger catalysts...

Posted: **March 6th, 2025, 11:53 am**

hibiscus wrote: March 6th, 2025, 11:30 am If I could improve the way that blinker gets removed I could maybe drop the RT at the expense of bigger catalysts...

the thing is. the blinker needs to be turned into a miniblinker like that to turn the active region into a hat (it activates B2n pretty late)

Code: Select all

x = 16, y = 16, rule = B2ein3cijr4jy6i/S23-ky4citwyzHistory
3D.3D$2.D3.D$3D.3D$2.D.D$3D.3D3$5.A$5.2A$3.A3.A3.D$5.2A$5.A2$13.2A$5.
A.A6.2A$4.2A.2A6.A!

Posted: **March 7th, 2025, 12:57 am**

extremely high-RT H-to-P (EDIT: reduced)

Code: Select all

x = 14, y = 13, rule = B2ein3cijr4jy6i/S23-ky4citwyz
7bobo$6b2ob2o2$6b2ob2o$7bobo$b3o$bobo$2ob2o$13bo$12b2o2$11b2o$12bo!

here is each common spaceship in their F orientation:

Code: Select all

x = 12, y = 15, rule = B2ein3cijr4jy6i/S23-ky4citwyzHistory
.BCB4.BCB$.3C4.CBC$.CBC4.C2B4$B3CB3.B2CB$BCBCB3.C2BC$2CB2C3.4B$8.2BCB
4$8.B2CB$8.C2BC!

of course, the flipper can also be flipped across the y axis and remain in F orientation because it, well, flips. the only one that needs "x" orientations is the P.
someone else can give converters names for example.

ConwayLife.com

b2ein3cijr4jy6is23-ky4citwyz and b2ein3cijkr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijkr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz and b2ein3cijkr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz and b2ein3cijkr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz and b2ein3cijkr4jy6is23-ky4citwyz archives

Re: b2ein3cijr4jy6is23-ky4citwyz and b2ein3cijkr4jy6is23-ky4citwyz archives