ConwayLife.com

The numbers are just the weights for each cell. Since the period is 2, it should be fine to have the same weights for both generations (so it was actually 4x4x2).


aaah, so it's more like

2 05 05 2 | 2 05 05 2
5 15 15 5 | 5 15 15 5
5 15 15 5 | 5 15 15 5
2 05 05 2 | 2 05 05 2

which seems ...

no images tho

please add to https://conwaylife.com/wiki/B-heptomino some mention of its 1-cell-different form
Both have the same next generation and both appear as frontend slightly later

web golly throws errors in console when webgl is disabled


Uncaught ReferenceError: _OverCanvas is not defined
onmouseover https://golly.sourceforge.io/webapp/golly.html:1
golly.html:1:1
onmouseover https://golly.sourceforge.io/webapp/golly.html:1

Blocked https://golly.sourceforge.io from ...

EDIT: This... this is Elkies' theorem. I might be dumb.


yeah, doesn't help that in his paper he introduces it as conjecture, spends most of the paper discussing different problem and then whams you with "proof of conjecture"

nowadays people are usually more careful, using "conjecture" only ...

I have did a bit of things myself (not really sure what the ai is doing) and I do not believe checking 3x3 or 3x4 areas yield new bounds. However 4x4 does seem to give better bounds for p2 agars:
2 5 5 2
5 15 15 5
5 15 15 5
2 5 5 2 seems to give 5/9 using just previously mentioned methods in this ...

Write-up of everything "achieved" (again, it's AI, so it's unverified and none of the stuff here is necessarily true (except for the 16/31 bound and the degree lemma, which have been checked)


R1 is cool, tho a bit misworded - what it actually proves is that any *state* of the universe without ...

I would be very surprised, how does the proof basically work?


encode a lot more information into every cell
basically encode 3x3x2gen area around the cell into it
2^18-colored "SuperLife" rule, if you will

for any evolution of normal Life universe, every 3x3x1 would get counted into 2 ...

Where to draw the line between a corderoid and an engineered spaceship?

...nowhere?

corderoids are subcategory of engineered spaceship, even wiki says so (https://conwaylife.com/wiki/Corderisation)

being an engineered spaceship isn't about the exact way information is passed inside to construct ...

My reading of the relevant definitions doesn't allow for the above still lifes to qualify as pseudo still lifes. I can't quite tell if that's the intent of the question, but the part about islands being indivisible seems to hint at that. I'd say rather that islands are maximal -- you can't have ...

It is possible.

x = 10, y = 10, rule = LifeHistory
4.A$2.3A$.A$.A.2A2C$2A.A2.C$3.A2.C.2C$3.2A2C.C$8.C$5.3C$5.C!



so much smaller than my result :)

x = 40, y = 17, rule = LifeHistory
$3.2A.2A4.2A.2A14.2A.2A$4.A.2A4.2A.A15.2A.A$4.A10.A18.A$2A3.3A4.3A16.
3A$A2.A.A2.A2.A2.A.A.2A10.A2.A.A.2A$2 ...

Is it possible for pseudo still life components to be connected orthogonaly?

It seems that all definitions of strict still life assume by default that islands (polyplets) are indivisible - is there a proof for that?

Edit:
I can't read the book.(May cause of great firewall.)

Forum filters by file extension, of all things
Rename into .pdf before opening

Still_Live_Theory_Cook_2003.rle

----

I think there's mistake in 3-sets-NPC
Wire turn doesn't work


x = 20, y = 18, rule = B3/S23
2b2o$2bo$3bo12b2o ...

I'm reading "Still Life Theory" by Matthew Cook (https://academic.oup.com/book/40819/chapter-abstract/348790306?redirectedFrom=fulltext)
the article is kinda about still lives, what makes them pseudo- and what doesn't.

Almost at the very start Cook displays this pattern:


x=12, y=12, rule = B3 ...

there's a mention in https://en.wikipedia.org/wiki/Skew-symmetric_graph

Cook (2003) shows that a still life pattern in Conway's Game of Life may be partitioned into two smaller still lifes if and only if an associated switch graph contains a regular cycle. As he shows, for switch graphs with at ...

I still insist that "1D spaceship" is a better name that long unpronounceable "unidimensional"

I also don't see the "Special Pages" button on 74P127

I tried capturing with wayback machine.(https://web.archive.org/web/20260830170310/https://conwaylife.com/wiki/74P127)
css is all broken (at least for me right now, could be ddos problem on WM), but I think the button isn't there in the capture

since gustone didn't want to copy-paste a link, here it is: https://conwaylife.com/forums/viewtopic ... 3&start=50

I hope someone updates/expands lifewiki news article as well

Gustone wrote: August 23rd, 2026, 8:39 am

NooneAtAll3 wrote: August 23rd, 2026, 1:52 am any progress on the stentor?

It's finished, see the other thread

what other thread?

I'm asking about what drgvn asked for, with -21k cells and stuff

any progress on the stentor?

ahhh

of course, p3 interacting with p2 means p6

brainfart, spent too much time thinking about phoenix disproof right before posting

should have noticed this part

p4 requires a slightly different setup (p2 start and different force of strict p4 in the critical tile)

https://conwaylife.com/wiki/OCA:Vote says "It is unknown if oscillators with higher periods [than 2] exist."

maybe possible to do some small search to rule out period 3 or smth?


Even on just my laptop, it takes LLSSS under a second to show no p3 oscillators. The setup focuses on a ...

Amling has disproved p3-5 oscillators in https://conwaylife.com/wiki/OCA:Vote

https://conwaylife.com/wiki/OCA:Vote says "It is unknown if oscillators with higher periods [than 2] exist."

maybe possible to do some small search to rule out period 3 or smth?

I don't understand you, sorry.

this is a forum

forum consists of threads that consist of messages

if you want to display latest message in subset of threads, you'd logically display the thread it is contained in - instead some arbitrary string that's been attached to the message is shown