Simple stable agar, cannot find it on wiki

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Simple stable agar, cannot find it on wiki

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

`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:

`x = 69, y = 44, rule = B3/S237\$33b2obo2bobo2bobo2bobo2bobo2bob2o\$33b2ob4ob4ob4ob4ob4ob2o2\$33b2ob4ob4ob4ob4ob4ob2o\$34bobo2bobo2bobo2bobo2bobo2bobo\$34bobo2bobo2bobo2bobo2bobo2bobo\$33b2ob4ob4ob4ob4ob4ob2o2\$9bo2bo2bo2bo14b2ob4ob4ob4ob4ob4ob2o\$9b4o2b4o15bobo2bobo2bobo2bobo2bobo2bobo\$34bobo2bobo2bobo2bobo2bobo2bobo\$9b2ob4ob2o14b2ob4ob4ob4ob4ob4ob2o\$10bobo2bobo\$10bobo2bobo15b2ob4ob4ob4ob4ob4ob2o\$9b2ob4ob2o15bobo2bobo2bobo2bobo2bobo2bobo\$34bobo2bobo2bobo2bobo2bobo2bobo\$9b4o2b4o14b2ob4ob4ob4ob4ob4ob2o\$9bo2bo2bo2bo\$33b2ob4ob4ob4ob4ob4ob2o\$34bobo2bobo2bobo2bobo2bobo2bobo\$34bobo2bobo2bobo2bobo2bobo2bobo\$33b2ob4ob4ob4ob4ob4ob2o2\$33b2ob4ob4ob4ob4ob4ob2o\$34bobo2bobo2bobo2bobo2bobo2bobo\$34bobo2bobo2bobo2bobo2bobo2bobo\$33b2ob4ob4ob4ob4ob4ob2o2\$33b2ob4ob4ob4ob4ob4ob2o\$33b2obo2bobo2bobo2bobo2bobo2bob2o!`
Lode

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Re: Simple stable agar, cannot find it on wiki

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.

Majestas32

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Re: Simple stable agar, cannot find it on wiki

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.
Lode

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Re: Simple stable agar, cannot find it on wiki

The square part is 4x4 (though the unit cell is 5x5) but see above

Majestas32

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Re: Simple stable agar, cannot find it on wiki

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!
Lode

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Re: Simple stable agar, cannot find it on wiki

I remembered seeing it before (so I searched "true stable agar" in patterns forum)

Majestas32

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Re: Simple stable agar, cannot find it on wiki

How about table bend table? It fits the precedent made by beehive bend tail.
`x = 81, y = 96, rule = LifeHistory58.2A\$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!`
Gamedziner

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Re: Simple stable agar, cannot find it on wiki

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".

vyznev

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Re: Simple stable agar, cannot find it on wiki

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
Lode

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Re: Simple stable agar, cannot find it on wiki

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

BUt yes, tablecloth sounds like a good name.
she/they // Please stop using my full name. Refer to me as dani.

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danny

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Re: Simple stable agar, cannot find it on wiki

Upvote for tablecloth as well

Majestas32

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Re: Simple stable agar, cannot find it on wiki

Two skew tableclothes:
`x = 26, y = 26, rule = B3/S23:T26,26b4o6b4obo2bo2bo2bo\$bo2bob4o6b4obo2bo\$o2bo2bo2bob4o6b4o\$4obo2bo2bo2bob4o\$5b4obo2bo2bo2bob4o\$4o6b4obo2bo2bo2bo\$o2bob4o6b4obo2bo\$2bo2bo2bob4o6b4obo\$3obo2bo2bo2bob4o6bo\$4b4obo2bo2bo2bob4o\$3o6b4obo2bo2bo2bobo\$2bob4o6b4obo2bo2bo\$bo2bo2bob4o6b4obo\$2obo2bo2bo2bob4o6b2o\$3b4obo2bo2bo2bob4o\$2o6b4obo2bo2bo2bob2o\$bob4o6b4obo2bo2bo\$o2bo2bob4o6b4obo\$obo2bo2bo2bob4o6b3o\$2b4obo2bo2bo2bob4o\$o6b4obo2bo2bo2bob3o\$ob4o6b4obo2bo2bo\$2bo2bob4o6b4obo2bo\$bo2bo2bo2bob4o6b4o\$b4obo2bo2bo2bob4o\$6b4obo2bo2bo2bob4o!`

`x = 26, y = 13, rule = B3/S23:T26,13b4obo2bo7bo2bob4o\$bo2bob4ob4obo2bo\$o2bo7bo2bob4ob4o\$4ob4obo2bo7bo2bo\$5bo2bob4ob4obo2bo\$3obo2bo7bo2bob4obo\$2bob4ob4obo2bo7bo\$bo7bo2bob4ob4obo\$2ob4obo2bo7bo2bob2o\$3bo2bob4ob4obo2bo\$obo2bo7bo2bob4ob3o\$ob4ob4obo2bo7bo\$7bo2bob4ob4obo2bo!`
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Re: Simple stable agar, cannot find it on wiki

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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