Simple stable agar, cannot find it on wiki

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Lode
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Simple stable agar, cannot find it on wiki

Post by Lode » January 20th, 2018, 7:35 pm

While playing around I bumped into the following simple agar, a grid of squares with the following 5x5 base block:

Code: Select all

xxxx.
x..x.
x..x.
xxxx.
.....
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!

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Majestas32
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Re: Simple stable agar, cannot find it on wiki

Post by Majestas32 » January 20th, 2018, 7:37 pm

It is known but it doesn't have a name I know of.
Last edited by Majestas32 on January 20th, 2018, 7:40 pm, edited 1 time in total.
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Lode
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Re: Simple stable agar, cannot find it on wiki

Post by Lode » January 20th, 2018, 7:40 pm

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)
Last edited by Lode on January 20th, 2018, 7:44 pm, edited 2 times in total.

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Majestas32
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Re: Simple stable agar, cannot find it on wiki

Post by Majestas32 » January 20th, 2018, 7:40 pm

The square part is 4x4 (though the unit cell is 5x5) but see above
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Lode
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Re: Simple stable agar, cannot find it on wiki

Post by Lode » January 20th, 2018, 7:44 pm

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!

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Majestas32
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Re: Simple stable agar, cannot find it on wiki

Post by Majestas32 » January 21st, 2018, 2:38 am

I remembered seeing it before (so I searched "true stable agar" in patterns forum)
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Gamedziner
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Re: Simple stable agar, cannot find it on wiki

Post by Gamedziner » January 21st, 2018, 7:16 am

How about table bend table? It fits the precedent made by beehive bend tail.

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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vyznev
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Re: Simple stable agar, cannot find it on wiki

Post by vyznev » January 21st, 2018, 8:58 am

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". :P

Lode
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Re: Simple stable agar, cannot find it on wiki

Post by Lode » January 21st, 2018, 11:28 am

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

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danny
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Re: Simple stable agar, cannot find it on wiki

Post by danny » January 21st, 2018, 12:23 pm

This thread really put the 'table' in 'stable'. :lol:

BUt yes, tablecloth sounds like a good name.
she/they // dani

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

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Majestas32
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Re: Simple stable agar, cannot find it on wiki

Post by Majestas32 » January 21st, 2018, 12:35 pm

Upvote for tablecloth as well
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BlinkerSpawn
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Re: Simple stable agar, cannot find it on wiki

Post by BlinkerSpawn » January 21st, 2018, 6:59 pm

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!
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Apple Bottom
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Re: Simple stable agar, cannot find it on wiki

Post by Apple Bottom » January 24th, 2018, 9:46 am

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
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