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Simple stable agar, cannot find it on wiki
Posted: January 20th, 2018, 7:35 pm
by Lode
While playing around I bumped into the following simple agar, a grid of squares with the following 5x5 base block:
It's a simple pattern, but I'm unable to find this on the wiki and the life lexicon, also not under agars. Is the pattern known and if so what's its name?
It's infinitely tilable in 2D, or can be made finite and you can put several configurations of tables around it to keep it stable.
E.g. a 1x1 and a 6x6 grid of such squares:
Code: Select all
x = 69, y = 44, rule = B3/S23
7$33b2obo2bobo2bobo2bobo2bobo2bob2o$33b2ob4ob4ob4ob4ob4ob2o2$33b2ob4ob
4ob4ob4ob4ob2o$34bobo2bobo2bobo2bobo2bobo2bobo$34bobo2bobo2bobo2bobo2b
obo2bobo$33b2ob4ob4ob4ob4ob4ob2o2$9bo2bo2bo2bo14b2ob4ob4ob4ob4ob4ob2o$
9b4o2b4o15bobo2bobo2bobo2bobo2bobo2bobo$34bobo2bobo2bobo2bobo2bobo2bob
o$9b2ob4ob2o14b2ob4ob4ob4ob4ob4ob2o$10bobo2bobo$10bobo2bobo15b2ob4ob4o
b4ob4ob4ob2o$9b2ob4ob2o15bobo2bobo2bobo2bobo2bobo2bobo$34bobo2bobo2bob
o2bobo2bobo2bobo$9b4o2b4o14b2ob4ob4ob4ob4ob4ob2o$9bo2bo2bo2bo$33b2ob4o
b4ob4ob4ob4ob2o$34bobo2bobo2bobo2bobo2bobo2bobo$34bobo2bobo2bobo2bobo
2bobo2bobo$33b2ob4ob4ob4ob4ob4ob2o2$33b2ob4ob4ob4ob4ob4ob2o$34bobo2bob
o2bobo2bobo2bobo2bobo$34bobo2bobo2bobo2bobo2bobo2bobo$33b2ob4ob4ob4ob
4ob4ob2o2$33b2ob4ob4ob4ob4ob4ob2o$33b2obo2bobo2bobo2bobo2bobo2bob2o!
Re: Simple stable agar, cannot find it on wiki
Posted: January 20th, 2018, 7:37 pm
by Majestas32
It is known but it doesn't have a name I know of.
Re: Simple stable agar, cannot find it on wiki
Posted: January 20th, 2018, 7:40 pm
by Lode
Onion rings are a 4n x 4n pattern for n>1 and have density 1/2, but this one is 5x5 and has density 12/25
(edit: was in response to post about onion rings which got removed)
Re: Simple stable agar, cannot find it on wiki
Posted: January 20th, 2018, 7:40 pm
by Majestas32
The square part is 4x4 (though the unit cell is 5x5) but see above
Re: Simple stable agar, cannot find it on wiki
Posted: January 20th, 2018, 7:44 pm
by Lode
Majestas32 wrote:It is known but it doesn't have a name I know of.
Ah ok. Maybe it deserves a name and a wiki page, after all both patterns that are simpler (like zebra stripes), and patterns that are more complex (like the onion rings), are listed in the agars section, so this one definitely fits in. E.g. "squares" or "boxes"
How did you find the thread so fast by the way? I tried so many searches!
Re: Simple stable agar, cannot find it on wiki
Posted: January 21st, 2018, 2:38 am
by Majestas32
I remembered seeing it before (so I searched "true stable agar" in patterns forum)
Re: Simple stable agar, cannot find it on wiki
Posted: January 21st, 2018, 7:16 am
by Gamedziner
How about table bend table? It fits the precedent made by
beehive bend tail.
Re: Simple stable agar, cannot find it on wiki
Posted: January 21st, 2018, 8:58 am
by vyznev
There's no "bend" in it, though. But seeing as the unit cell (appropriately shifted) consists of a
table on table, a name with "table" in it does sound appropriate. Maybe just "square table agar"? Or, for something a bit sillier, "tablecloth".
Re: Simple stable agar, cannot find it on wiki
Posted: January 21st, 2018, 11:28 am
by Lode
Yay tablecloth is fun! Awesome name since it's a repetitive pattern
The square is like table on table, except the other way, the bottom table is upside down they stand on each others legs
Re: Simple stable agar, cannot find it on wiki
Posted: January 21st, 2018, 12:23 pm
by dani
This thread really put the 'table' in 'stable'.
BUt yes, tablecloth sounds like a good name.
Re: Simple stable agar, cannot find it on wiki
Posted: January 21st, 2018, 12:35 pm
by Majestas32
Upvote for tablecloth as well
Re: Simple stable agar, cannot find it on wiki
Posted: January 21st, 2018, 6:59 pm
by BlinkerSpawn
Two skew tableclothes:
Code: Select all
x = 26, y = 26, rule = B3/S23:T26,26
b4o6b4obo2bo2bo2bo$bo2bob4o6b4obo2bo$o2bo2bo2bob4o6b4o$4obo2bo2bo2bob
4o$5b4obo2bo2bo2bob4o$4o6b4obo2bo2bo2bo$o2bob4o6b4obo2bo$2bo2bo2bob4o
6b4obo$3obo2bo2bo2bob4o6bo$4b4obo2bo2bo2bob4o$3o6b4obo2bo2bo2bobo$2bob
4o6b4obo2bo2bo$bo2bo2bob4o6b4obo$2obo2bo2bo2bob4o6b2o$3b4obo2bo2bo2bob
4o$2o6b4obo2bo2bo2bob2o$bob4o6b4obo2bo2bo$o2bo2bob4o6b4obo$obo2bo2bo2b
ob4o6b3o$2b4obo2bo2bo2bob4o$o6b4obo2bo2bo2bob3o$ob4o6b4obo2bo2bo$2bo2b
ob4o6b4obo2bo$bo2bo2bo2bob4o6b4o$b4obo2bo2bo2bob4o$6b4obo2bo2bo2bob4o!
Code: Select all
x = 26, y = 13, rule = B3/S23:T26,13
b4obo2bo7bo2bob4o$bo2bob4ob4obo2bo$o2bo7bo2bob4ob4o$4ob4obo2bo7bo2bo$
5bo2bob4ob4obo2bo$3obo2bo7bo2bob4obo$2bob4ob4obo2bo7bo$bo7bo2bob4ob4ob
o$2ob4obo2bo7bo2bob2o$3bo2bob4ob4obo2bo$obo2bo7bo2bob4ob3o$ob4ob4obo2b
o7bo$7bo2bob4ob4obo2bo!
Re: Simple stable agar, cannot find it on wiki
Posted: January 24th, 2018, 9:46 am
by Apple Bottom
Lode wrote:Ah ok. Maybe it deserves a name and a wiki page, after all both patterns that are simpler (like zebra stripes), and patterns that are more complex (like the onion rings), are listed in the agars section, so this one definitely fits in. E.g. "squares" or "boxes"
Here ya go:
http://conwaylife.com/wiki/Tablecloth