Oops, yeah, I had forgotten that that's one of the categories that the LifeWiki is still far behind on. Go to Achim's page on Garden of Eden 6 (the link on the LifeWiki page, which you'll notice is confusingly called "orphan_7th") and follow the Yes links. You'll eventually get to Garden of Eden 11, the latest and greatest. All the intermediate pages were records at one point, but haven't made it to the LifeWiki yet.Ian07 wrote:What's the current smallest known Garden of Eden? The Garden of Eden 6 article implies there's a smaller one known but doesn't specify what it is, and there doesn't seem to be an article on it.
There's another Yes link to orphan_12th.html, but that page doesn't exist... yet! Apparently there haven't been any fresh discoveries from Steven Eker for the last couple of years.
Here are the notes I took in 2016 and 2017 about this stuff. There's another slight weirdness in numbering, involving two contenders for the #9 spot. My patch was to not number one of them, and call it "Garden of Eden 8x12" instead:
Dec 13, 2016:
#C Garden of Eden 10
#C 55-cell GOE in 9x11 bounding box
#C Steven Eker, 16 September 2016
x = 11, y = 9, rule = B3/S23
b9o$obo2bobobo$b2o2b4o$ob4o3bo$bo2bobobobo$o2b2o2bo$3o2b5o$2b2obobobo$
ob4o2b2o!
#C 89-cell non-convex orphan for Garden of Eden 10
#C (34 required OFF cells shown in LifeHistory blue state 2)
#C Steven Eker, 16 September 2016
x = 11, y = 9, rule = LifeHistory
.9A$ABA2BABABA$B2A2B4AB$AB4A3BAB$BA2BABABABA$A2B2A2BA2B$3A2B5A$B.2ABA
BABA$A.4A2B2A!
There's a "Garden of Eden 8x12" also found by Steven Eker back in
April, as documented on Achim's website:
http://wwwhomes.uni-bielefeld.de/achim/orphan_9th.html
Can't call the 8x12 pattern "Garden of Eden 9" because that's
presumably the 9x11 one from May of last year. And "Garden of Eden
10" seems to be the label applied to the 55-cell 9x11 GoE above:
http://wwwhomes.uni-bielefeld.de/achim/orphan_10th.html
See also the 5-cell-high GoE in the above link. Apparently Steven
Eker has proven that there's no such thing as a 3-cell-high GoE, but
the 4-cell-high case is still an open question. See Achim's website
again, for the only details on this that I can find anywhere:
http://wwwhomes.uni-bielefeld.de/achim/orphan.html
June 27, 2017:
Looks like shortly after the last Garden of Eden
in December, #10, Steven Eker found another incremental improvement.
Population 50, down from 55 -- and one less required cell in the
orphan, now 88 instead of 89:
#C Garden of Eden 11
#C population 50, bounding box 10x9 plus two protruding cells
#C Steven Eker, 25 January 2017
#C http://wwwhomes.uni-bielefeld.de/achim/orphan_11th.html
x = 11, y = 9, rule = B3/S23
2b2ob3obo$bo2bobobo$ob3o2b3o$bobobo2bobo$b3o2b2o2bo$2o3b2o2bo$obobob3o
$o2bobo2bo$b3o2b4o!
Or with the required OFF cells, in LifeHistory format:
#C 88-cell orphan for Garden of Eden 11
#C http://wwwhomes.uni-bielefeld.de/achim/orphan_11th.html
x = 11, y = 9, rule = LifeHistory
2.2AB3ABA$.A2BABABAB$AB3A2B3A$BABABA2BABA$B3A2B2A2BA$2A3B2A2BA$ABABAB
3AB$A2BABA2BAB$.3A2B4A!