## Gems (B3457/S4568)

For discussion of other cellular automata.
muzik
Posts: 3774
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Gems (B3457/S4568)

The rule contains the famous c/5648 spaceship, currently the slowest known non-adjustable-speed spaceship in any range-1 Life-like rule.

Code: Select all

``````x = 12, y = 14, rule = B3457/S4568
4bo2bo\$4b4o\$2b8o\$2b2ob2ob2o\$obobo2bobobo\$2ob6ob2o\$ob3o2b3obo\$3ob4ob3o\$
2ob6ob2o\$b3o4b3o\$b3o4b3o\$3b2o2b2o\$3bo4bo\$5b2o!
``````
This rule also supports high-period oscillators, such as this p62:

Code: Select all

``````x = 10, y = 10, rule = B3457/S4568
4bo\$2bobobo\$2b7o\$b7o\$2b8o\$8o\$2b7o\$b7o\$3bobobo\$5bo!
``````
p52:

Code: Select all

``````x = 8, y = 8, rule = B3457/S4568
3bobo\$bob3o\$2b3ob2o\$4ob2o\$2bob4o\$2ob3o\$2bobobo\$2bobo!
``````
p64:

Code: Select all

``````x = 9, y = 10, rule = B3457/S4568
4bo\$4b3o\$2b5o\$2bob5o\$5o2bo\$bo2b5o\$5obo\$2b5o\$2b3o\$4bo!
``````
p30:

Code: Select all

``````x = 8, y = 8, rule = B3457/S4568
4bo\$2b3obo\$2b4o\$ob6o\$b6o\$7o\$2b2o\$2bobo!
``````
I don't even know what period this one is:

Code: Select all

``````x = 9, y = 11, rule = B3457/S4568
5bo\$3bo\$3b5o\$b4o2bo\$bo2b2o2bo\$ob2o3bo\$bo2b2o2bo\$b4o2bo\$3b5o\$3bo\$5bo!
``````
This rule has dynamics similar to LongLife if searched on one-cell-thick soups, although I highly doubt this will result in any interesting patterns showing up:
http://catagolue.appspot.com/census/b3457s4568/1x256

Unfortunately this rule is explosive and cannot be conventionally soup searched.

Research has been conducted into seeing if any lower-period spaceships exist in this rule. Could any higher-period spaceships exist?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Posts: 1942
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Gems (B3457/S4568)

muzik wrote:I don't even know what period this one is:

Code: Select all

``````x = 9, y = 11, rule = B3457/S4568
5bo\$3bo\$3b5o\$b4o2bo\$bo2b2o2bo\$ob2o3bo\$bo2b2o2bo\$b4o2bo\$3b5o\$3bo\$5bo!
``````
Talked to my good friend oscar.lua and he told me pretty much right away it was p706:

Code: Select all

``````x = 9, y = 11, rule = B3457/S4568
5bo\$3bo\$3b5o\$b4o2bo\$bo2b2o2bo\$ob2o3bo\$bo2b2o2bo\$b4o2bo\$3b5o\$3bo\$5bo!
[[ STOP 706 ]]
``````
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

muzik
Posts: 3774
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Gems (B3457/S4568)

An oscillator which closely resembles the spaceship:

Code: Select all

``````x = 15, y = 32, rule = B3457/S4568
5bobo\$5b2ob2o\$3b2obob2o\$3b2obo3b2o\$b5o5bo\$bob6obo2bo\$bob6obo2bo\$b5o5bo
\$3b2obo3b2o\$3b2obob2o\$5b2ob2o\$5bobo5\$8bo\$6b3o\$6b2ob2o\$4b2o4bo\$4b2o3b4o
\$2b2o2bo3bobo\$2b4o7b2o\$7o3b5o\$7o3b5o\$2b4o7b2o\$2b2o2bo3bobo\$4b2o3b4o\$4b
2o4bo\$6b2ob2o\$6b3o\$8bo!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3774
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Gems (B3457/S4568)

p258 and p434:

Code: Select all

``````x = 25, y = 61, rule = B3457/S4568
2\$10b4o\$10b4o\$8b8o\$8b8o\$6b12o\$7b2ob4ob2o\$7b2ob4ob2o\$9b6o\$9b6o2\$11b2o
33\$10b4o\$10bo2bo\$8b8o\$8bo2b2o2bo\$6b2o3b2o3b2o\$7b10o\$7b3o4b3o\$9b6o\$9b6o
2\$11b2o!
``````
p72:

Code: Select all

``````x = 7, y = 7, rule = B3457/S4568
2bobo\$2b3o\$o4b2o\$bo2b2o\$3ob2o\$2b2o\$2b2o!
``````
p98:

Code: Select all

``````x = 9, y = 9, rule = B3457/S4568
3bobo\$b2ob2o\$3b5o\$8o\$bo3b4o\$8o\$3b5o\$b2ob2o\$3bobo!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

muzik
Posts: 3774
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Gems (B3457/S4568)

Possibly the happiest p26 I have ever seen:

Code: Select all

``````x = 20, y = 9, rule = B3457/S4568
3b2o10b2o\$15b2o\$b6o6b6o\$b6o6b6o\$ob4obo4bo2b2o2bo\$b6o6b6o\$2ob2ob2o4b2ob
2ob2o\$2bo2bo8bo2bo\$2b4o8b4o!
``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Layz Boi
Posts: 71
Joined: October 25th, 2018, 3:57 pm

### Re: Gems (B3457/S4568)

Have there been any new ships found in this rule yet?

Some osc because I'd feel weird necro-ing this thread without posting something:

Code: Select all

``````x = 236, y = 221, rule = B3457/S4568
42bo14bo42bobo\$31bobobo4b5o53bobobobo\$5bo25bobobo5b3o3bo2bo6b3o15bobo
20b7o8bobo11bobo\$5b3o16bobo3b5ob2o2b5o3b3o3bob3o7bobo7b2o12bo5b4obob4o
6b2o12b5o6bo32bo\$3b4o4bobo5bo4b3o4bo4bo4b3o3b5o4b4o6b3o6bo2bo9bobobo6b
5o7b5o4bobo2b3obobo15bo9bo12b4o\$4b5o3bob2o7bobobo2b5ob2o3bobo5bo6bobo
5b7o5b2o11b4o3b4obob4o4bob2o3b2obo4b2ob4o3b2ob2o6bobo7b3o11b3o27bo\$3b
4o4bo2bo3b3o3bobo4bobobo28b2obob2o4b4o2bobo3b3o3bo4b7o4b7o3b4o2bobo3b
o13b4o6b5o10b2ob2o14b2o8bo2b2o\$5b3o4b3o8bobobo3bobobo26b3ob3ob3o3b2o4b
2o5b4o5bobobobo4b2o7b3o5bob5o2b2o4bo4bob3o4b4obo10bobo4bobo19b3o\$5bo6b
o33bobo7bo6b9o3b4o2b4o3bobobo7bobo8b5o4bo5b2ob2o13bo2b2o4b3obo12bobob
o3b3o6b2o2b2o5bob4o15b4o\$46b5o3bo3bo3b3ob3ob3o3b2o4b2o6bo20b2o15bobo6b
2ob2o3b4o6b6o16b2ob2o5b2o2b2o6b5o15b4o\$24bobo4bobo4bo5b2o3bo5b3o6b2ob
ob2o4b4o2bo2bo28bo30b3o6b3obo19b2obo4b4o2b4o3b4o15b8o\$6bo6bo4bobo3b3o
4b3o3b2obo3bo5bo2b2obob2o4b7o5b2o4b2o39bo15bo6bo8b4obo9bobo6b3o5bob2o
bo6b3o15b8o\$4b4o3b3o3b3o3b2ob2o2bobobo3b2o3bo5bo5b3o8b3o6bob2o2bob2o15b
obo18b3o6bo24b5o8bo2bo2bo4bo4b2ob6ob2o3bo15b2o3b2o3b2o\$5b3o4b3o3b3o3b
3o4b3o3b2obo3bo3b2o4bo3bo7bobo8bo5bo8bo7bobo6bobo9bob3o2bob3o24b3o8b3o
b3o12bob2obo22b2o8b2o\$4b4o4bo4bobo4bobo4bobo4bo4b5o8bo33b3o5bo3bobo3b
3o8b4obo3b2obo4bobobo16bo8b2ob5ob2o8b4o2b4o18bob12obo\$6bo38bobo42bob3o
4bo2b3o5b4o6b5o5b3o3b2ob2o4b3o18b2ob5ob2o10b2o2b2o5bobobo10bob12obo\$69b
o8bo9b2obobo4b8o2b5o4b2ob3o7bo4b2o2bobo2b2obobo18b3ob3o12b2o2b2o3b7o12b
2o8b2o\$18bo7bo7bobo32b3o4b2ob2o7bobob2o6bobobo5b4o4bo3bo14b4o4bobo9b2o
9bo2bo2bo21bob3o2b2o10b2o3b2o3b2o\$7b2o7b5o3b5o3bob4o3bobo5bobo5bobobo
5b5o4bobobo5b2obobo8b5o4bobo6b3o16b4o4bobo9b2o11bobo6bobobo5b2o4b7obo
13b8o\$7b2o7b5o5bo7b3o4b5o3b3o5b2obo6bobob2o2b2obob2o4b3ob2o10bo17bo7b
obo8bo16bob3o16bobobobobo10b9o5bobo4b8o\$5b2o2b2o4b7o2b5o2b7o2b5o3b2ob
3o2bob2obo3b5obo3b7o2b6o37b4o26bobo3bo15bobobobobo7b9o4b2obo7b4o7bo\$5b
6o5b5o4bobo4bobo6b5o3bob2o4bob2o5b6o5bobo5b5o18bobo17b4o15bobobo4b2ob
2o3b2o7bo7bobobo10bob7o3bob3obo4b4o5b3o\$3b10o3b5o4bobo4b3obo4bobo4b3o
bo4b2ob2o3b5o7bobo5b3o12bo8b2o10bobo3b4o7bobo6b3obo5b3o3b2o6b5o19b2o2b
3obo3bobobobo14b2ob2o\$5b6o7bo15bo15bo8bo7b3o17bo10bo7b2ob3o8b3obo3bob
o5b2ob3o3b3ob5o3b4o3b2o5b2ob2o21b7o4b4o14b2o2b3o\$5b2o2b2o56bo30bobobo
3b5o3b3o5b2o4bo8b4o5b7o6bo4bo4b9o8bobobo6bobobo5bobo2b2o12b3obob3o\$7b
2o19bobo12bobo27bo6bobo13b7o5bo2bo8bob3o10b5obo2b10o15b9o8b2obo20bobo
6bo6b3obob3o\$7b2o17bobobo5bo6bob3o11bo11b5o5bo5bobobo5b7o4b3o4b3o3b2o
13bob3o4b7o15b3ob5ob3o5b4obo18bo16b2o2b3o\$16bobo7b6o2bobobo3b4o4b4o3b
5o3bobo5b3o4bobo5b5o4b4obo7bo9bobo6bobo4b3obo3b5ob3o8bo5b3ob5ob3o6b2o
bo5bobobo17b5o6b2ob2o\$14b5o6b3ob2o4b4o6b3o3bobo3b4o4b4o2b3ob3o9b5o8bo
b2o25b3o6bo7bob3o8b3o7b9o8b5o2b4ob2o28b3o\$6bo7b2ob4o6b3obo3bobobo2b4o
4b3o3b3ob2o3b3o5b4o11bob3o6bobo26bobobo13bobobo8b2ob2o5b9o10bo4b4ob2o
5bobobobo3b3o3b3o6bo\$6bo6bob3ob2o6bobo7bo5bob3o4bo4b3o5b4o4bobobo5bo3b
5o20bobo7bo6b3o25b6o8b2ob2o6b2o4bobo4bobobo5b3ob4o\$4b5o6b3obobo21bobo
11bobo15bo5bobo4bobobo19b3o7b3o3bobobo6bobobo13bob2ob2o7b5o6b2o19b7ob
o3b2o5b2o\$4bobobo4bob3ob2o60bob2o20bo5b2o2b2o3b5o4b3o7b4o13b7o10bo6b6o
18b2o4b3o\$4bobobo5b2ob4o12bobo15bo28b3o14bo7b3o4b4o5b4o3b2ob2o4b7o3bo
bo8b2ob2o18bo2bo8bobobo5b3o4bo4b3o3b3o\$4b5o5b5o12b3ob3o4bo6b5o5bobobo
6bobo8b3o4bo8b3o3b5o3b5o4b5o5bo6b2obo7b2o8b3o17b2obo2bob2o5b5o7bo4b3o
\$6bo9bobo14bobo4b3o6bo2b2o3b2obob2o6b3o8bo6bobo4b5o5b4o4bo7b2o12b3ob3o
3b2o3b2o8bo6bobo9b3o2b3o4b3ob5o3b3o4b2o5b5o\$6bo24b7o3b4o2b8o3b8o2bobo
bobo13b2o6bob3o3b3o13bobo13bob2o5b2ob4o15b2o8b2o2b4o2b2o3bob2ob2o5bob
7o\$33bobo4b4o4bo3bo4b2obob2o5b2ob2o15bobo3b4o7bo20bobo5bobobo8bob2o13b
5obo6b10o3b4ob4o3b4ob3o8bo\$25bo5b3ob3o3b3o4bobobo6bobobo4bo5bo5bo8bo6b
obo18b2o6b2ob4o15bobobo6b2o6bob3o6b2o2b4o2b2o3b2ob2obo5bobobobo\$7bo5b
ob2o6bob3o5bobo5bo8bo18b2ob2o4b2ob2o34b2o7bo2b2o18bo8b2o5b7o7b3o2b3o4b
5ob3o21b4o\$5b3obo3b4o7b4o40bobobobo3b5o32b6o4b2o2b2o8bo16b3ob2o4bobob
o7b2obo2bob2o5b5o23b4o\$5b4o3b2obob2o2b8o31bo9b3o4bobobobo3bo5bo7b4o10b
2ob3o6b2o10bo17b5o19bo2bo8bobobo6bobo12bob4obo\$3b2obobo4b3obo4b5o5bob
o7bobo7bo7b3o7bobo6bobo11bobo5b4o8b4ob4o5b2o8b5o3bobobo7bob3o18b6o16b
5o12b8o\$5bo6b4ob2o2b5obo4bob3o3b2ob2o5b2ob2o3b2obo17bobo4b3o2b2ob2o4b
3ob2o3bo4b3ob2o18b3o3b2ob4o8b3o20b2o18bo2bob2o8b2obo4bob2o\$4bobo7b3o6b
3o5b4o5bo2b4o4bobo5b3o24b3o4bob3o3bob2o4b2o3b6o17bobobo3b3obo9bo22b2o
11bo5b2obob2o9bob8obo\$14bobo6bobo7b4o2b4ob2o3b2o3b2o3bo9bobo15bo4b5o3b
ob3o3b2o6b2o13bobo4b3o3bobob2o23bobo19b3o4b2obob2o8bob8obo\$31b3obo4b4o
2bo4b3o13b3obo6bo7b3o5b3o5bo7bo5b2o4bobo4bo2bo4b2ob2o4b2o23b2ob2o17b5o
3b2obo2bo9b2obo4bob2o\$4bobo26bobo4bob2obo5bobo13b2obob2o4b3o13bo27b3o
4b6o4bo5bobo8b4o4bobo4b7o7bobo6b5o4b5o4bobo4b8o\$3b4o8bobo8bobo12b5o14b
o4b2ob2obo4bo3bo40b2ob2o2b4o24b3o5b4o2bob5o8b2ob2o3b2o2bo5bobo6b2o5bo
b4obo\$4bob3o6b3o6b2ob2o14bo14bobo4b6ob2o3bob4o21bobo5bobobo5b3o3b3obo
21b2o2b2o2b5o4b5obo7b2ob2o5b4o11b3obo6b4o\$3b6o4b4ob2o5b2ob2o22bo5bobo
3b2ob6o3bob3obo6bo6bo5b7o3b3obo4b5o4bo9bobo7bo4b4o4b5o2b7o8b3ob2o3b3o
14bobo7b4o\$5b2ob2o3b3obobo5bobo4b4o16b3o5bo5bob2ob2o4bobo2b2o3b5o3b3o
5bobobo3b4ob3o4bo14bob4o4b4o3b5o2b5o5b2ob2o10b3o6bo13bobobo\$5b4o3b2ob
2ob4o10b4o6bobo5b5o9b2obob2o6b2obo6b2ob2o4bo5b7o3b3ob2o3b5o12b2ob3o4b
3o6bo5b5o4bobo5bobo4bob2o14bo22bo\$7bobo3b3obobo11b2obob2o2b3ob3o3b6o10b
ob3o8bobo4bob3obo3bobo5bobo5bobobobo3b3o6bo5b4o2b2o2b5o10b4o14b3o6bo13b
5o8bo9b5o\$13b4ob2o7bo5b4o4b2ob2o4bob3o5bo5bobo18b5o4bobo22b2ob2o3b2ob
2o5b5o5bo13bobo12b7o11b2o5b3obo8bobo7b5o\$15b3o7b3o5b4o4b2ob2o4bob3o3b
2o26bobobobo5bo23b3o4b5o5bob3o3bo3bo5bo20b7o20bob3o4bob2o6b3obob3o\$6b
obo6bobo7b2ob2o13bo8bo7b2o17bo24bobo5bobo7bobo4b2ob2o7bo6b3o4b5o16b2o
b5ob2o7b6o5b5o4b3obo5bob5obo\$6b2ob2o13b6o29bo10bo6bobo24b3obo3b3o16bo
15bobobo3b2ob2o8bo7b3ob3ob3o7b6o7bo5b3o6b3ob5ob3o\$4b5obo14b6o40b2o4bo
3bo14bobo4b3obo3b5o32b3o3bob6o4b3o5b6obob6o3b2o2b2o2b2o12b3o5b3ob5ob3o
\$4b2obobobo4bobo5bo3b2o7bo7bo7bo16b2o3bo5bo4bo8b4o6b4o3b3o6bobo20bo3b
obo4b7o7b2o4b13o4b2o2b2o2b2o12bo9bob5obo\$2b3obob3o5b3o6b2ob2o5b5o5b3o
3b3o9bobo6bo4bo3bo4bobo7b2o2bo4b3o3b4o4b5o11bobo6bo9bob4ob2o3b2ob2o3b
6obob6o3b2o2b2o2b2o5bobo14b3obob3o\$3bobobob3o2b4ob2o4bobo7b3obo3b4o4b
2ob2o5b7o9bobo5b4o6b3o2bo6bo11b2ob3o2b4o4b3o4b4o9bob5o6b2obo4b3ob3ob3o
5b2o2b2o2b2o5b3o16b5o\$bo2bobob2o5b3ob2o12b3ob4o3b4o2b2o2b2o6b3ob2o11b
o7b4o5b3o19bobo2bo4b2o3bo4b2o4bo10b2obob2o6b3o5b2ob5ob2o7b6o5b2obob2o
5b4o5b5o\$3bobob3o4b2o2bob2o11b2obob2o3bobo5b2obob2o3b8o3bo13b2o2bo5bo
bo20b6o2bo2bo3b2o2bo18bobo10bo7b7o9b6o5b6o6b4o7bo\$b4ob2o8b2ob2o11b4ob
3o5bo5b2obob2o4b2ob3o4b3o13bob3o14bo10bobo2bo4b2o3bo3b3o24bo13b7o19b8o
3b3o2b2o\$3bo3bo8b6o11bob3o15b2o2b2o3b7o2b2obo5b2o6b2obo13b3o11b2ob3o2b
4o4b4o9bobo13b3o13b3o13b2o7b2o2b2o4b2o2b2o\$3bobo12bobo6bo5b5o15b2ob2o
6bobo5bob3o6bo6bobo4b2o6b5o3bo5b5o11bobo10b3o4bo6b3obo13bobo21b4ob2o3b
2o2b3o7bobo\$27b3o5bo10bobo6b3o13b5o3b2o2bo11b4o4b6o3b4o5bobo22b6o4b2o
5bobob2o20bobo14b3o6b4o7b5o\$25b5o16bobo6bo17bobo5bobo11b2ob2o3b4o2bo3b
o32bo3bo3b3o6b2obobo18b5o6bo7bobo6b4o7bob5o\$6bo8bo10b5o13b7o13bo29b4o
4b4o2bo3b2ob2o13bo13b2ob4o4b2ob2o5bob4o7bobo6bob4o3b5o23b7obo\$6b3o6b3o
6b4o8bobo6b6o13b3o29b2o6b2ob2o11bobo5bobobo4bobo5b2obo5b6o5b4obo5b2ob
o6b4obo5b2obo24b9o\$4b2ob2o4b2ob2o8b5o3b7o4b7o4bobo3b5o5bobobo7bo19bob
o5b5o3b4o2bobobo6bobo4b2ob2o7b2ob3o5bob3o4bo2b4o4b2ob3o2b7o22b9o\$4b2o
bob2o3b5o6b5o4b2obob2o6bobo6b3o5b2ob2o3b5o5bo2b2o5bo20bobo4bobo5bobo4b
7o4bo9b3ob2o5b4o3bobobo3bo3b5o6b2obo4b4o8b2o6bob7o\$2b8o4bobo10b3o3b4o
b4o5bobo4bobob2o3b2ob2o3b4ob3o3bob2o4b3o28b3o12bob3o17b5o6bobo3b2ob3o
2bo4bobo5b5o4bo2bo16b5obo\$3b8o16bo7bobobo15b2o8b3o4b6o3b6o3b2ob2o5bob
o32b2ob3o17b3o13bo2b3ob2o15bo4b2ob2ob2o4b6o6b5o\$2b2obob2o46bobo7bo5b3o
b4o3b3o4b2o2b2o3b5o7bo19bo6b2o21bo14bo3bobobo19bob4obo4b6o6bobo\$4b2ob
2o39bo24b5o3b4o6b3o4b3ob2o24b3o6b2o6bo6b3o14bobo3b4o2bo21bob4obo3b8o\$
4b3o7b4o5bobobo4bobo6bo4b4o23bobobo4bo8b3o3b6o5b2ob2o7bobo5b2ob2o12b3o
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ob2o6b3o6b5o6b2ob7o\$5b2ob2ob2o12b4obobo7bo9bobo40b4o8b5o4bobobo20bob3o
10bobo2b2o7bo2bobo4b8o3b6o9bo6bo3b2o7b3ob3o\$6bob2obo15b4o7b5o5b2o3b2o
20bobobo13b4o10bobo28b3obo10b8o8bob4o3bob4obo4bob3o14b4o2bo8b7o\$5b8o4b
o9bobobo6b5o5b2obob2o11bobobo5b6o9b3ob4o41b3o10b2o2bobo8b5o5bob4obo4b
obo17b4ob2o9b3o\$7b4o6b3o9bo6b9o3b2obob2o9b3obob3o2b6o10b2ob2ob2o21bob
o9bo7bo8bo6bob2o10bobo5b8o14bobo6b3o2bo11bobo\$7b4o4b3obo17b7o4b3ob3o10b
2o3b2o5bobobo9b6ob2o8bobobo7b2ob2o3b3o3b3o10b2ob2o3bobo22b4o16bobobo5b
3obo5bobo\$16bob3o15b9o5b3o11b3obob3o12b2o4b3obobo10b5o5b2ob2obo6bo2bo
12b2obo15bo13b4o6bobo5bobobobo5bobo7b3o\$16b5o9bobo5b2ob2o14bobo6bobob
o14b2o6b2ob2o9bob3obo4b2ob3obo3b2o4bo10bo3b2o12b2o22b5o5bobo3bobo11b2o
3b2o\$4bo13bo11b3o5b5o15b2o23b6o4b3o5bo6b2ob2o3b2o2b5o7b2o6b2o5b4o5bob
o4b4obo7bo11b7o3bo5bo13bo5bo\$4b3o21b3ob3o5bo16bob3o21b6o6bo3b5o3bob3o
bo3b5o2b2o20bobobo5b4o4b2obo6bob3o8b4ob2o6bobobo11b11o\$2b4o7bo14b4obo
18bo5bobo12bo7b10o9bobo5b5o3bob3ob2o14bob2obo10b7o2bo2bob3o5bobo9b2ob
4o5bobo5bobo5b11o\$2b2ob4o2b3obo11b8o15b3o5b6o7b2o8bo2b4o2bo7b3ob3o3bo
bobo4bob2ob2o7bobo4bob2obo10b2o3bo4b6o3b7o7b7o8bo5b3o5b11o\$4b4o3b4o6b
3o4b5o18b4o6bobo7b5o5bo2b4o2bo8b2ob2o13b2ob2o9b3o19b7o3b3obo2bo3b3o12b
5o13bobobo4b11o\$4b4o4b6o2b5o2b6o4bo2bo7b2obob2o5b3obo4b2ob4o5b10o7b2o
bob2o14bobo7b7o4b2o5b4o4b3o8bob2o3b4obo10bobo16b3o7bo5bo\$12bo2bo5b3o4b
obo6b4o7b2ob6o5b2o5b2ob4obo5b6o11bobo8bobo16bobobo20bobo7bob4o3bobo8b
o15bo5b5o6b2o3b2o\$14bobo3b2ob2o10b3o2b3o4bo3bob3o6bobo4b2ob4obo5b6o3b
obo5bobo8b3o14b2ob3ob2o10bo2b2o16b2o13b3o13b5o5bo10b3o\$21bobo11bob4ob
o5b2ob6o12b2ob4o9b2o6b4o12b3ob3o8bo5bobobo7b2o23bo15b5o3bobo6b4o3b5o8b
obo\$5bo14b5o8b3obo2bob3o3b2obob2o16b5o9b2o5b2obo13b2obob2o6bo6b7o4b4o
3b3o24bobo5b5o4b2ob2o3b6o3b3o\$3b5o5bobobo4bo10b5o2b5o6b4o5bobo8b2o20b
4o4bo5b3ob3ob3o2b6o5b3o6bob3o27b2o2bobo4b5o2bobob2o5bobo3b5o\$bobob2o6b
4o11bo4b5o2b5o5b3o5bob4o9bo4bobobo10bobo4b4o3b3ob3ob3o5bo7bobo4b2ob3o
18bobo7b6o4b5o4bobob2o2b6o3bobo13bo\$b2o2bob2o3bobob2o8b3o4b3obo2bob3o
7bo5bo3bo5bo9b5o18b3o5b2obob2o5bo17b2o2b2o6bobo6b5o5b4o2b4o4b3o3b2obo
bo4b4o18bobobo\$6o2bo4b4o9b2ob2o4bob4obo14b4obo3b5o5b3o3b3o16b5o3b3ob3o
22bobob2o7bobobo4b3ob3o3b5o2bo6bo6b2obobo3bobobo17bo3bo\$bo2b6o3bobobo
6b2ob4o4b3o2b3o3bobo9bobo6b4o5bob5obo18b2o6b3o18bo6b2ob2o5bobobobo3b2o
bo2bo3bobob3obobo11b2ob2o13bo10b9o\$b2obo2b2o15b3ob2ob2o4b4o6b4o15b3ob
3o3bob5obo4b4o10bobo5bobo8bo7b2ob2o4bobo7bobobobo5b6o4bo2b5o14bobo13b
3o8bo2b3o2bo\$3b2obobo14b2ob2ob3o5bo2bo5b4o18b2obo4b3o3b3o4b4o29bo7b2o
bo15bobobo7b5o3b4o2b4o6bobo12b2o5b3obo6b4ob3ob4o\$2b5o7bobobo6b4ob2o15b
5o16bobobo5b5o5b2o3b2o25b5o4bo3b4o14bobo9bobo5b6o8b2ob2o10b2o5bob5o4b
5obob5o\$4bo10bob3o5b2ob2o17bob2o8bo18bobobo6bo3b2o6bo9bo8b5o5b7o6b2o6b
o18bobo2b2o7b4obo8b6o2b5obo4b2ob3obob3ob2o\$14bo3b3o6b3o19bobo5b5o26b3o
bo6b5o7b3o4b9o3bob4ob2o2b4obo25bobo11bobobo7b3obo5bob3o5b5obob5o\$15b2o
b2o7bo9bobobo15b5o8bobo17bobo6b2ob2o5b5o6b5o7b4obo4bobo19bobo19b4o6b7o
5b3o7b4ob3ob4o\$15b5o15bobobobo13b4ob4o6b3o6bobobobo11b9o4b6o4b5o7b2o3b
2o16bo6bob3obo19b3o6b4o9bo9bo2b3o2bo\$17bo19bobob2o4b2o6bob2ob2obo5b6o
4b2ob4o11bob5obo4b6o6bo11b3o16b3o6b3ob3o6bobobo8bo6b6o19b9o\$35b2o2bo13b
2o2b5o2b2o3b6o3bob7o8b13o4b5o5bo11bobo8bo7b2ob2o2b11o4bo2b2o16bobo23b
o3bo\$39b4o2bob3o3b2o2b5o2b2o5b5o3b2ob3o5bobo4bob5obo6b3o28b5o4b4o5b9o
3b9o40bobobo\$36b2o8b3o3bob4o3b4obo4b3o5bobobobo5b2o4b9o8bo28b5o5b5o2b
11o4bob3o44bo\$45bobobo3b2o2b5o2b2o7bo15b6o4b2ob2o39b7o3b3o6b3ob3o4bob
2o4bo\$46bobo4b2o2b5o2b2o25b3o5b5o41bobo7b3o4bob3obo5b3o2b2o\$46b4o5bob
2ob2obo25b3obo7bo62bobo6b4obob2o\$55b4ob4o27bo83bo2b2o\$57b5o113bobobo\$
57b5o\$59bo!``````

muzik
Posts: 3774
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Gems (B3457/S4568)

What is the smallest infinite growth pattern in this rule?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

77topaz
Posts: 1467
Joined: January 12th, 2018, 9:19 pm

### Re: Gems (B3457/S4568)

muzik wrote:
January 4th, 2020, 10:26 am
What is the smallest infinite growth pattern in this rule?
Probably around this size:

Code: Select all

``````x = 7, y = 7, rule = B3457/S4568
3obobo\$o3bobo\$o2b3o\$5obo\$2o\$ob2ob2o\$ob3obo!
``````
Just from a manual search in Golly, I haven't seen any 6x6 patterns exploding.

toroidalet
Posts: 1054
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

### Re: Gems (B3457/S4568)

13-cell explosive growth:

Code: Select all

``````x = 2, y = 11, rule = B3457/S4568
bo\$2o\$2o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo!
``````
EDIT: explosive growth in a 20-cell (2*10) bounding box. I believe both of these are close to minimal.

Code: Select all

``````x = 10, y = 2, rule = B3457/S4568
5ob4o\$10o!
``````
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

Hdjensofjfnen
Posts: 1476
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Gems (B3457/S4568)

toroidalet wrote:
January 5th, 2020, 9:11 pm
13-cell explosive growth:

Code: Select all

``````x = 2, y = 11, rule = B3457/S4568
bo\$2o\$2o\$bo\$bo\$bo\$bo\$bo\$bo\$bo\$bo!
``````
EDIT: explosive growth in a 20-cell (2*10) bounding box. I believe both of these are close to minimal.

Code: Select all

``````x = 10, y = 2, rule = B3457/S4568
5ob4o\$10o!
``````
If only we had CoolCreeper back on this site again...
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````