B356/S23

[hotdogPi]

P661:

Code: Select all

x = 63, y = 63, rule = B356/S23
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57b
o$2o59b2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo
11bo$26b2obo3bob2o$26bob2o3b2obo$28bo5bo!

Whoa! A POTY 2023 candidate! How did you find this pattern?

http://catagolue.hatsya.com/census/b356 ... tdin/xp661

[pipsqueek]

a lot of these are known, but I found these before I knew this rule had a thread

Code: Select all

x = 146, y = 114, rule = B356/S23
19$113bo3bo$112bobobobo$111bobo3bobo$110bo9bo$110b2o7b2o$110b2obo3bob
2o$110bo2bo3bo2bo$109bo3bo3bo3bo$108bo13bo$112bo5bo2$109b3obobobob3o$
109b2o9b2o$110b2ob2ob2ob2o$111b2ob3ob2o$112bo2bo2bo$112b2obob2o$114bob
o$110b2ob2ob2ob2o$110b2o3bo3b2o$110b3obobob3o$112bo2bo2bo$113bo3bo$
114b3o$114b3o$114b3o$113b5o$115bo$115bo$111b2o5b2o$112bobobobo$114bobo
$110bo9bo$110b2o7b2o$110b2o7b2o2$111b2ob3ob2o$110bo9bo$110b3o5b3o$109b
o3bo3bo3bo$113bobobo2$113bobobo$114b3o$114b3o$114b3o$113b2ob2o$110b2ob
obobob2o$110bobo5bobo$99b2o11b2o3b2o$98bo2bo8b2o2b3o2b2o$98bo2bo8b2o7b
2o$99b2o10b2o5b2o$99b2o10bo7bo$98bo2bo7b2o3b3o3b2o$45bo63b2o3bobo3b2o$
43b2ob2o50bo2bo6b2o4b3o4b2o$42bo2bo2bo49b4o12b3o$42bobobobo49b4o10bobo
bobo$45bo51b2o2b2o8bobo3bobo$41b3o3b3o48bo2bo11b5o$40bo3b3o3bo43b2ob2o
2b2ob2o4b2ob2ob2ob2o$94b2o8b2o5b3o3b3o$40b2o3bo3b2o43bo2b2o2b2o2bo4b3o
5b3o$44bobo48bob2o2b2obo6b4ob4o$43bobobo47bob2o2b2obo6bo7bo$42bo5bo47b
o6bo$42bo2bo2bo45bob3o2b3obo7bo3bo$45bo48bob3o2b3obo7bobobo$44bobo9bo
24bo5bo7bobo4bobo8b2ob2o$27b3ob4ob3o5bobo8b3o10b2o10bobo3bobo4bo2b2o4b
2o2bo5b2o3b2o$26b2obo6bob2o14bo3bo7b2o2b2o7b3o2bo2b3o5bo8bo7b3ob3o$25b
2obobob2obobob2o2b5o6bo2bo5b2o8b2o6b2o3b2o6bo2bo4bo2bo6b3ob3o$27bobo6b
obo3bo5bo3bob2o5b2obo8bob2o5bobobo7b3o6b3o7bobobo$27bo10bo13bo8b3o2bo
4bo2b3o4b7o7bobo4bobo9b3o$28bo8bo4b2obob2o3bobo8bobob4obobo6b2o3b2o7bo
bo4bobo10bo!

[Chai]

Yet another 3-engine 18c/72:

Code: Select all

x = 28, y = 43, rule = B356/S23
3o$13b3o$12bob2o$13b3o$3o11bo5$12bo12b3o$13b2o$10b2ob2o$9b6o$10b4o11b 3o$11b2o4$3o9b3o4$3o9b3o3$10bo11bo$9b2o10b2o$9b2obo8b2obo$11b2o10b2o$ 8b3o2bo6b3o2bo$8b2obobo6b2obobo$12bo11bo8$7b3o9b3o$6bob2o8bob2o$7b3o9b 3o$8bo11bo!

[FWKnightship]

18c/72, 73 cells, 38x14:

Code: Select all

#C Left: Smallest population  Right: Smallest bounding box
x = 99, y = 18, rule = B356/S23
20bo60bo$19b3o58bobo$18bob2o56b3obo$19b3o56bob2o$78b3o3$83b2o$2bo5bo
22bo5bo23b3o3b3o12b4o4b3o3b3o$ob2o3b2obo18bob2o3b2obo22b2o3b2o12b5o5b
2o3b2o$o3bobo3bo18bo3bobo3bo21b2obobob2o11b2ob2o4b2obobob2o$3bo3bo16bo
7bo3bo26bobobo13bobobo6bobobo$2bob3obo11b2obobo5bob3obo25b5o13b2obo7b
5o$5bo14b3o2bo8bo28bo3bo15bo8bo3bo$2bo2bo2bo14b2o6bo2bo2bo$21b2obo$21b
2o$22bo!

[b-engine]

18c/72 in B356/S23 engineered by hand using blinker puffers:

Code: Select all

x = 14, y = 37, rule = B356/S23
6b3o2$5b2o2bo$6bobo$7bo7$11bo$7bo2bobo$7bo3b2o$7b3ob2o$8bob2o2$8b2o2$
o$o$o2$o$o$o3$13bo$13bo$13bo2$5b3o5bo$13bo$4bo2b2o4bo$5bobo$6bo!

Why no one had found this 2-engine 18c/72 before?
EDIT:
Smaller:

Code: Select all

x = 14, y = 37, rule = B356/S23
6b3o2$5b2o2bo$6bobo$7bo7$11bo$7bo2bobo$7bo3b2o$7b3ob2o$8bob2o2$8b2o2$
o$o$o2$o$o$o3$13bo$13bo$13bo2$5b3o5bo$5bob2o4bo$5bo3bo3bo$5b2obo$6b2o
!

[Period1GliderGun]

EDIT:
Smaller:

Code: Select all

x = 14, y = 37, rule = B356/S23
6b3o2$5b2o2bo$6bobo$7bo7$11bo$7bo2bobo$7bo3b2o$7b3ob2o$8bob2o2$8b2o2$
o$o$o2$o$o$o3$13bo$13bo$13bo2$5b3o5bo$5bob2o4bo$5bo3bo3bo$5b2obo$6b2o
!

Smallest:

Code: Select all

x = 17, y = 33, rule = B356/S23
8b2o$7bob2o$6bobobo$6b2o$8b2o$6b2obo$6b3o$5bob2obo$6b2o2bo4$13b2o$12b
o2bo$14bobo$12bo3bo$16bo$15bo$13bo$10bobo$8b4o$9b2o2$3o$8b3o$7b2obo$7b
o$3o4b3o2$7b3o$6b2ob3o$7b5o$9bo!

[confocaloid]

Alien p3:

Code: Select all

x = 8, y = 6, rule = B356/S23
3o$5bo$3bobo$bobob3o$bo$bobo!

Some known objects from Life evolving identically in this rule: b356s23/ror_stdin_test
Are there any shared oscillators with period above 2?

[confocaloid]

Apgcodes of n-bit strict still lives for n < 25:

b356s23-still-4to24-apgcodes.txt.zip

apgcodes of n-bit strict still lives for n < 25

(1.8 MiB) Downloaded 48 times

Since the birth conditions of this CA form a superset of birth conditions of Conway's Life and the survival conditions of this CA form a subset of survival conditions of Conway's Life, every still life in this CA remains a still life in Conway's Life. I filtered the data from CGoL-still-life-enumeration. The counts (b356s23/b3s23) are:

Code: Select all

population 4 : 2/2
population 5 : 0/1
population 6 : 3/5
population 7 : 1/4
population 8 : 7/9
population 9 : 4/10
population 10 : 12/25
population 11 : 17/46
population 12 : 48/121
population 13 : 63/240
population 14 : 166/619
population 15 : 268/1353
population 16 : 629/3286
population 17 : 1118/7773
population 18 : 2616/19044
population 19 : 4826/45759
population 20 : 10896/112243
population 21 : 20993/273188
population 22 : 46622/672172
population 23 : 92133/1646147
population 24 : 202729/4051732

[Haycat2009]

Alien p3:

Code: Select all

x = 8, y = 6, rule = B356/S23
3o$5bo$3bobo$bobob3o$bo$bobo!

Some known objects from Life evolving identically in this rule: b356s23/ror_stdin_test
Are there any shared oscillators with period above 2?

Also works in Grounded Life, so the answer is yes for nearby rules. Not Life though.

[confocaloid]

I was wondering about oscillators that evolve identically in Life and in this rule (hence "shared"). I don't currently know about any examples with period above 2 for this rule. The alien p3 I posted is, well, alien and hence doesn't work in Life.

Edit:

I was wondering about oscillators that evolve identically in Life and in this rule (hence "shared"). I don't currently know about any examples with period above 2 for this rule. The alien p3 I posted is, well, alien and hence doesn't work in Life.

All p3 rotors in Life that I've found either have B5 somewhere or use a pulsar quadrant-type rotor, which fails due to B5c. I haven't checked p4.

B5 by itself doesn't eliminate oscillator periods above 2 (e.g. the pulsar would work). b35s23/ror_stdin_test However, all those require A6 (absence of B6).

[Period1GliderGun]

I was wondering about oscillators that evolve identically in Life and in this rule (hence "shared"). I don't currently know about any examples with period above 2 for this rule. The alien p3 I posted is, well, alien and hence doesn't work in Life.

All p3 rotors in Life that I've found either have B5 somewhere or use a pulsar quadrant-type rotor, which fails due to B5c. I haven't checked p4.

[confocaloid]

p1124 mod281 agar, also can be viewed as a p1124 oscillator in the 12-by-12 torus:

Code: Select all

x = 60, y = 60, rule = B356/S23:T60,60
7$6b2o10b2o10b2o10b2o10b2o$6bobo9bobo9bobo9bobo9bobo$6b2obo8b2obo8b2ob
o8b2obo8b2obo$6b3o9b3o9b3o9b3o9b3o9$6b2o10b2o10b2o10b2o10b2o$6bobo9bob
o9bobo9bobo9bobo$6b2obo8b2obo8b2obo8b2obo8b2obo$6b3o9b3o9b3o9b3o9b3o9$
6b2o10b2o10b2o10b2o10b2o$6bobo9bobo9bobo9bobo9bobo$6b2obo8b2obo8b2obo
8b2obo8b2obo$6b3o9b3o9b3o9b3o9b3o9$6b2o10b2o10b2o10b2o10b2o$6bobo9bobo
9bobo9bobo9bobo$6b2obo8b2obo8b2obo8b2obo8b2obo$6b3o9b3o9b3o9b3o9b3o9$
6b2o10b2o10b2o10b2o10b2o$6bobo9bobo9bobo9bobo9bobo$6b2obo8b2obo8b2obo
8b2obo8b2obo$6b3o9b3o9b3o9b3o9b3o!
#C [[ THEME MCell ]]

p240 mod40 agar, also can be viewed as a p240 oscillator in the 12-by-12 torus:

Code: Select all

x = 20, y = 20, rule = B356/S23:T24,24
2o10b2o$b2o10b2o4$6bo11bo$6b2o10b2o$7bo11bo5$2o10b2o$b2o10b2o4$6bo11bo
$6b2o10b2o$7bo11bo!
#C [[ THEME MCell GRID ]]

p598 mod46 agar, also can be viewed as a p598 oscillator in the 13-by-13 torus:

Code: Select all

x = 33, y = 33, rule = B356/S23:T39,39
3o10b3o10b3o$3o10b3o10b3o3$5b2o11b2o11b2o$5b2o11b2o11b2o$5b2o11b2o11b
2o7$3o10b3o10b3o$3o10b3o10b3o3$5b2o11b2o11b2o$5b2o11b2o11b2o$5b2o11b2o
11b2o7$3o10b3o10b3o$3o10b3o10b3o3$5b2o11b2o11b2o$5b2o11b2o11b2o$5b2o
11b2o11b2o!
#C [[ THEME MCell GRID ]]

p294 mod147 agar, also can be viewed as a p294 oscillator in the 17-by-17 torus:

Code: Select all

x = 43, y = 43, rule = B356/S23:T51,51
3o14b3o14b3o$b2o15b2o15b2o$2bo16bo16bo4$6b3o14b3o14b3o$7b2o15b2o15b2o$
8bo16bo16bo9$3o14b3o14b3o$b2o15b2o15b2o$2bo16bo16bo4$6b3o14b3o14b3o$7b
2o15b2o15b2o$8bo16bo16bo9$3o14b3o14b3o$b2o15b2o15b2o$2bo16bo16bo4$6b3o
14b3o14b3o$7b2o15b2o15b2o$8bo16bo16bo!
#C [[ THEME MCell GRID ]]

p230 mod115 agar, also can be viewed as a p230 oscillator in the 19-by-19 torus:

Code: Select all

x = 38, y = 38, rule = B356/S23:T38,38
8$2b2o17b2o$3b2o17b2o$4bo18bo4$8b2o17b2o$9b2o17b2o$10bo18bo11$2b2o17b
2o$3b2o17b2o$4bo18bo4$8b2o17b2o$9b2o17b2o$10bo18bo!
#C [[ THEME MCell GRID ]]

[Game of Life Fun]

This puffer:

Code: Select all

#CXRLE Pos=-18,-3
x = 19, y = 10, rule = B356/S23
4b3o$3b2obo$3b2o$bo$b2o3bo$o5bo5b3o2b2o$4bobo5bo4b2o$12bob3obo$14bo2bo
$15b2o!

7-cell predecessor:

Code: Select all

x = 5, y = 3, rule = B356/S23
b3o$2o$o3bo!

21x8 BB 14-cell quadratic growth:

Code: Select all

x = 21, y = 8, rule = B356/S23
17b3o$16b2o$16bo3bo3$b3o$3b2o$o3bo!

[Game of Life Fun]

25x49:

Code: Select all

x = 25, y = 49, rule = B356/S23
21b4o$21b3o$21b3o$20b2o$21bo$10bo$o9b2o$o7bob2o$o7b2o$7bo2b3o$o6bobob
2o$o7bo$o7$11b3o$11b2obo9bo$11b3o10bo$12bo11bo2$o23bo$o23bo$o23bo$14b
2o$o$o12b2obo$o13b6o2$17bobo$11bo5b2o$10b3o$10b2obo$10bo$11bo2$16bo$
15bob2o$15b2o$16b3o$4b2o$4bobobo$5bo10b2obo$5bo3bo6bo2bo$6bo9b2o$7b2o!

Related to side sparker above, this breeder relese a common p72 engine every 144 generation.

Code: Select all

x = 60, y = 26, rule = B356/S23
17b3o$4b3o$4bo2bo8b2o2bo$5bo2bo8bobo$5bo12bo21b3o11b2o$9bo30bo2bo9bo$
6bobo32bo2bo7bo3bo$41bo10bo$45bo5bobobo$42bobo6b2o2$22bo$3ob2o12bo2bob
o$obobo13bo3b2o$b2o15b3ob2o32b2o$4bo14bob2o13b3ob2o13b4o$2b3o9bo21bobo
bo13b3o2bo$12b3o4b2o16b2o16bo2bo$12bo2bo24bo14b3o$12b2o24b3o$45bo$44b
2obo$44b4o$44b3o$44b3o$45b2o!

P72 Barge puffer

Code: Select all

x = 66, y = 46, rule = B356/S23
43b3o13bo$21bo21b2obo10b3o$5b3o11bob2o23b2o9bo2bo$7b2o10b4o22b2o10b2o$
7bo12b3o$5b3o12bobo37b2o$20b4o17b2o15b4o$3b2o19bo16bo2bo14b2o2bo$2bo
20b2obo14bobo16bo2bo$2bo2bo16bo3bo14b2obo15bo$2bo3bo15b3o15bo2b2o14bob
2o$4b2o16b2o17bobo17bo$42bo3$51b2o$13bo36b2ob2o$12bob2o33b3ob2o$12b2ob
o32b6o$14bobo31bo2b2o$14b2o32bo3b2o$14bo33bo3bo$13bob2o31b2ob2o$11bo4b
o30b5o$11bo3b2o31bo3bo$13bo37bo$3o22b3o10b3o22b3o2$9bo47bo$7b2obo47bo$
3o4bobo15b3o10b3o16b2obo2b3o$6bob2obo49bo$7bob2o48b2o$7b3o49bo$9bo$10b
2obo$13bo$12b2o2$22bo21b2o$21b5o$20bob8o4bo8bo$19b3o3b6o2b2o7b4obo$20b
2o5b5ob3o6b3o2bo$21bo8bo12bobo$25bo3bo14bo!

P72 tub puffer

Code: Select all

x = 61, y = 46, rule = B356/S23
7bo2bo$6bo3bo9b3o$5bo2bo10b2o$5b3o12bo$10b2o8b3o2$23b2o$3b3o19bo$3bo
18bo2bo$3bo2bo14bo3bo$4b2o16b2o4$40bo2bo$39bo3bo$13b2o23bo2bo$12b2o24b
3o$13b3o27b2o$13bobo$14bo$12bob2o20b3o$11bo3bo20bo15bo5bo$12bo2bo20bo
2bo10bob2o3b2obo$12bobo22b2o11bo3bobo3bo$3o22b3o25bo3bo$52bob3obo$55bo
$8b2o42bo2bo2bo$3o6b2o14b3o24bo$7b3o36b3o$7bo2b2o35b2o$9b2obo35b2o$9b
2obo36bo$10b2o$12bobo$12b2o3$22bo10b3o$21b3o3bo$20b3ob3o2bo$21b4ob5o$
22b4ob3o3b3o$23b3o2bo$26bo!

Edit1:

Rare p216 c/4 puffer:

Code: Select all

x = 56, y = 16, rule = B356/S23
21bo$20b2o$19b4o$18b4o12b3o$17bo3bo14b2o$17bo15bo3bo$18bobo2$2bo5bo$ob
2o3b2obo$o3bobo3bo36b3o3b3o$3bo3bo40b2o3b2o$2bob3obo38b2obobob2o$5bo
43bobobo$2bo2bo2bo40b5o$49bo3bo!