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I thought I remembered Mike Playle doing some searches for asymmetrical agars on toruses, I forget what size, with some interesting higher-period results. All I can find on a search is these two posts . Was that someone else who did those searches, or am I somehow missing the relevant posts ...

Absence/presence of blocks spaced 2 cells give us a density of 1 bit / 16 cells, and this seems like the maximum density that can be achieved with a static pattern.

Tubs, boats and ships give 8 possible states (3 bits) per 25 cells, or about 1 bit / 8.3 cells:

x = 18, y = 18, rule = B3/S23 ...

Is there anything missing from https://conwaylife.com/ref/mniemiec/glider-2.htm?

Speaking of only having two ∏→∏ conduits, how do we not have a PF30 conduit (extracting the ∏ that already forms in the ∏-heptomino's evolution 30 generations later and 9 cells ahead)?


Well, there is this thing:


#C pi-heptomino conduits: Dean Hickerson, 17 February 1997
#C Herschel-to-pi ...

After just over 100bn soups in T29x33 I have the following period statistics:

1: 23339265523
2: 77087261915
3: 20124173
4: 25796
5: 202
6: 31545234
8: 28743
10: 462
12: 10
14: 404
15: 216520
24: 8
30: 460690
46: 1
116: 6581153
132: 4711752
348: 1121
488: 4
660: 7
1194: 119
1740: 23
1914: 409
3828 ...

Hunting wrote: October 22nd, 2020, 2:36 amOCAgar development version implements all ideas above

How does OCAgar generate apgcodes for wicks and agars?

Also how many soups per second can it process?

Has anyone thought about how to define apgcodes for agars and wicks?

I'm approaching 80,000,000,000 soups in T29x33 and I've got quite a few duplicates. I can assign apgcodes to the bounded patterns that crop up, but I'd like to do something similar with the unbounded ones.

They don't have ...

Yes - they do interact on their own, don't they? It just takes a couple of cycles for them to get there. Doh.

I was able to get them to interact by trying a few random fills behind them until I found one that didn't destroy the ships.

#CXRLE Pos=0,0 Gen=0
x = 19, y = 16, rule = B3/S23
2b2o$b4o$2ob2o9bo$b2o11bo$7bobo4b2o2bo$6b2o2bo7bo$7bobo4b2o2bo$b2o10b
2obo$2ob2o10bo$b4o7b2obo$2b2o8b2obo$3bo9b2o$bo3bo ...

Well, just as one example, the glider-block-cycle can be extended as far as you like:


#CXRLE Pos=-7,-5 Gen=4261
x = 21, y = 9, rule = B3/S23:T32,32
2o$2o14b2o$16b2o2$13b2o4b2o$13b2o4b2o$13bobo2bobo$13bo6bo$14bo4bo!


OK, it's a wick, not an agar, but the principle remains - its period can be ...

Yup, it's easy to construct agars with arbitrarily large periods.

What about naturally occurring ones, though?

The other day I found this one, which appears to be p9440 on the face of it, though it's actually only p590 if you take the symmetry into account:

#CXRLE Pos=0,0 Gen=0
x = 31, y = 32 ...

I figured that I therefore might be able to get some useful advice for you, like how to sort through all of the ideas and figure out which are the most practical.


I can't suggest anything beyond trying them and seeing which ones work.

Every Life search program I've seen suffers from the ...

I have four seeds for this agar now, out of about 1.461 billion candidates tested, making its frequency about 2.7 parts per billion which seems astonishingly high; the patterns I posted earlier in the thread appeared after running searches for much longer, and I only have a single soup for each.

I ...

Another strange one:

#CXRLE Pos=-58,-60 Gen=18609
x = 116, y = 124, rule = B3/S23:T116,132
2o27b2o27b2o27b2o$2bo25bo2bo25bo2bo25bo2bo25bo$bo26bobo26bobo26bobo26b
o$o28bo28bo28bo$9b2o27b2o27b2o27b2o$8bo2bo25bo2bo25bo2bo25bo2bo$9b2o
27b2o27b2o27b2o2$9bo28bo28bo28bo ...

#CXRLE Pos=-6,-49 Gen=2858
x = 18, y = 99, rule = B3/S23:T62,99
5bo4bo3b2obo$6bob8obo$9b8o$8b2o4b2o$7b3o$7b2o$7b2ob2o$10bo$5b4obo$5bo
3bo$4bo$4bo5bo$5bo2b2o$6b2o15$9bo$8b3o$7b4o$6bo5b4o$3o2bo7b4o$5bo4bo3b
2obo$6bob8obo$9b8o$8b2o4b2o$7b3o$7b2o$7b2ob2o$10bo$5b4obo$5bo3bo$4bo$
4bo5bo$5bo2b2o$6b2o15 ...

I had a hunch that there might be interesting things lurking in the non-square toroids, which I haven't heard of anyone trying to search before.

I wrote a basic searcher that runs on an FPGA. It chooses random soups, runs them until periodic, throws out all the p1s and p2s, and reports the rest to ...

#CXRLE Pos=-62,-64
x = 124, y = 128, rule = B3/S23:T124,128
16b2o29b2o29b2o29b2o$16b2o29b2o29b2o29b2o6$19b2o29b2o29b2o29b2o$18bo2b
o27bo2bo27bo2bo27bo2bo$18bo2bo27bo2bo27bo2bo27bo2bo$19b2o29b2o29b2o29b
2o3$23b3o28b3o28b3o28b3o$5b2o18bo10b2o18bo10b2o18bo10b2o18bo$5b2o17bo ...

I'd be surprised if this wick hasn't been found already, but it was new to me.

Sorry - I'll admit I've been lazy and haven't read all 69 pages of this thread.

1- Is the LifeViewer documentation available somewhere online, rather than scrolling through it all inside the application itself?

2- How can I make a really tiny one for looking at localised regions of a pattern? I ...

Wouldn't that only rule out gutter symmetry?


There is a live stator cell in the gutter immediately below the two central rotor cells.

It remains live throughout, despite the cell above it both living and dying. This can only happen if it has exactly 2 live stator neighbours. In a symmetrical ...

Re the Bandersnatch :


This reflector doesn't win Mike Playle's award, since the requirements are:

To be explicit, the reflector must fit in a 25x25 bounding box, and have a repeat time of 50 generations or less.

Whereas, mine and EE's reflector:

Mine and EE's reflector fits in a 32x28 ...

wwei23 wrote: September 11th, 2020, 5:14 pmCan it be made symmetric?

No. Two cells in the central column become live. They can only do this if they have 3 live neighbours, which is impossible if the pattern is perfectly symmetric.

Fantastic - that's exactly what I wanted to do - thanks very much!

Is there an URL parameter I can set to display more posts on each page? Ideally, all of them.

I'd like to download the entire Oscillator Discussion Thread and try to extract all the oscillators automatically.

There's also the #P syntax -- "P" | "R" ; top-left corner coordinates -- but that also hasn't seen much of any use except maybe in Xlife.

Bellman's input files use the #P syntax. The format has its roots in the "Life 1.05" format that Xlife used; I just ended up adding more and more to it over ...