ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

Gems (B3457/S4568)

For discussion of other cellular automata.

Gems (B3457/S4568)

Postby muzik » August 24th, 2017, 8:45 am

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

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


p52:
x = 8, y = 8, rule = B3457/S4568
3bobo$bob3o$2b3ob2o$4ob2o$2bob4o$2ob3o$2bobobo$2bobo!


p64:
x = 9, y = 10, rule = B3457/S4568
4bo$4b3o$2b5o$2bob5o$5o2bo$bo2b5o$5obo$2b5o$2b3o$4bo!


p30:
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:
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!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Gems (B3457/S4568)

Postby BlinkerSpawn » August 24th, 2017, 9:53 am

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

Image
User avatar
BlinkerSpawn
 
Posts: 1889
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Gems (B3457/S4568)

Postby muzik » August 24th, 2017, 12:45 pm

An oscillator which closely resembles the spaceship:

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: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Gems (B3457/S4568)

Postby muzik » August 24th, 2017, 2:29 pm

p258 and p434:
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:
x = 7, y = 7, rule = B3457/S4568
2bobo$2b3o$o4b2o$bo2b2o$3ob2o$2b2o$2b2o!


p98:
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: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Gems (B3457/S4568)

Postby muzik » August 26th, 2017, 2:28 pm

Possibly the happiest p26 I have ever seen:
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!
muzik
 
Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland


Return to Other Cellular Automata

Who is online

Users browsing this forum: No registered users and 7 guests