New Life

[MilhinSA]

Using special software, I was able to increase the collection of patterns. Among these patterns, there are many similar, but is formally they are different.

download/file.php?id=174

[knightlife]

Unique: two rakes make copies of themselves
This is unusual in any rule.

32-cell clean breeder:

Code: Select all

x = 15, y = 21, rule = MilhinSA
.2BA$B3.BA$3B2.B$5.B$3.A.B$5.B$3.B.A8$12.B.A$14.B$12.A.B$14.B$9.3B2.B
$9.B3.BA$10.2BA!

minimal 24-cell version:

Code: Select all

x = 14, y = 19, rule = MilhinSA
2.2BA$B3.B$2.B.B$2.B.B$4.B$2.B.A8$11.B.A$13.B$11.B.B$11.B.B$9.B3.B$
11.2BA!

Other p48 items made from the same rakes:

Code: Select all

x = 22, y = 394, rule = MilhinSA
12.B.B.BA$6.A3.AB.B3.B$5.2B3.2B.B3.B$4.A12.B$17.B$15.B.A7$14.B$13.B2.
A2.A$12.AB.2B2.2B$12.BA.BA.A.BA$11.B2.BA2.B.BA$12.3B3.B.BA$13.A6.BA$
19.AB4$6.B.A$8.B$6.A.B$6.A.B$8.B$6.B.A15$2.B5.ABA.B$7.B.AB.BA$2BA3.2B
.AB.BA$12.BA$.B.B8.BA$11.AB7$13.B$12.B2.A2.A$11.AB.2B2.2B$11.BA.BA.A.
BA$10.B2.BA2.B.BA$11.3B3.B.BA$12.A6.BA$18.AB9$2.B.A$4.B$2.A.B$2.A.B$
4.B$2.B.A25$7.2A$6.A2B.B$6.3A.BA$10.BA$10.BA$10.BA$9.AB6$16.B.A$18.B$
16.A.B$18.B$13.3B2.B$13.B3.BA$14.2BA36$12.2A$11.A2B.B$11.3A.BA$15.BA$
15.BA$15.BA$14.AB8$14.AB$15.BA$15.BA$15.BA$11.3A.BA$11.A2B.B$12.2A11$
13.2A$12.A2B.B$12.3A.BA$16.BA$16.BA$16.BA$15.AB9$18.AB$19.BA$17.B.BA$
15.2A2.BA$14.2B3.BA$14.B4.B$15.3B$16.A13$13.2A$12.A2B.B$12.3A.BA$16.B
A$16.BA$16.BA$15.AB3$17.AB$18.BA$18.BA$18.BA$14.3A.BA$14.A2B.B$15.2A
15$15.2A$14.A2B.B$14.3A.BA$18.BA$18.BA$18.BA$17.AB4$15.AB$16.BA$16.BA
$16.BA$12.3A.BA$12.A2B.B$13.2A17$13.B.B.BA$7.A3.AB.B3.B$6.2B3.2B.B3.B
$5.A12.B$18.B$16.B.A5$11.B$10.B2.A2.A$9.AB.2B2.2B$9.BA.BA.A.BA$8.B2.B
A2.B.BA$9.3B3.B.BA$10.A6.BA$16.AB4$3.B.A$5.B$3.A.B$3.A.B$5.B$3.B.A7$
13.B.A$15.B$2.A12.B$3.2B3.2B.B3.B$4.A3.AB.B3.B$10.B.B.BA13$18.B.A$20.
B$7.A12.B$8.2B3.2B.B3.B$9.A3.AB.B3.B$15.B.B.BA25$10.B5.ABA.B$15.B.AB.
BA$8.2BA3.2B.AB.BA$20.BA$9.B.B8.BA$19.AB8$9.B$8.B2.A2.A$7.AB.2B2.2B$
7.BA.BA.A.BA$6.B2.BA2.B.BA$7.3B3.B.BA$8.A6.BA$14.AB3$5.AB$6.BA$6.BA$
6.BA$6.BA$5.AB!

Forward glider p48 rake, large, not optimized, but fun to make:

Code: Select all

x = 271, y = 72, rule = MilhinSA
256.B.A$258.B$256.B.B$256.B.B$258.B$14.BA240.B.A$15.B$13.B.B$255.A2BA
$268.B.A$255.B2.B11.B$268.B.B$249.2B4.A2BA5.2B2.B.B$249.2B2.AB4.B6.A
3.B$254.2B2.2BA2.B2.B.2BA$229.2B$229.2B33.AB$26.BA$27.B$25.B.B205.A5.
2B$212.2B18.3B.A.A.BA$154.B53.B2A21.B2.B.B2ABA$149.A4.2A3.A53.B18.A4.
B.ABA$143.A2B2.3B6.A.2B49.B.2B19.2BA.A2.BA$139.2B2.B6.A3.A.B.A.BA77.A
B$139.2B4.4B6.B.A2.BA$145.A2.A11.BA$160.BA51.2A$145.A2.A10.AB51.4B$
38.BA105.4B63.A2.A10.AB$39.B106.2A79.BA$37.B.B172.A2.A11.BA$206.2B4.
4B6.B.A2.BA$112.BA92.2B2.B6.A3.A.B.A.BA$111.A4.A4.A88.A2B2.3B6.A.2B$
112.2B.B2AB.3B63.2B28.A4.2A3.A$114.B.BA2BA3.B61.2B33.B$3.ABA45.A35.2B
A22.B2.B4.A2.A.B$3.3BA43.A.BA26.AB6.B2.B25.3B5.BA$2.B3.2B18.B11.BA11.
B2.A24.A5.2BA.AB3.A19.A10.BA15.A46.ABA4.2BA$B2.2B22.3B7.AB15.B7.2B15.
B2.B4.A3.A.2B19.2A2B4.A2.BA14.3B45.B.BAB.B2.B$2.B3.B2.B12.A.A2B10.AB
13.B9.2B15.B4.BA2.A.A4.A18.A2.B4.A2.BA13.B2.B22.2B2.A17.AB.AB2.2B.B$.
BA5.B.B11.A2B6.2A4.AB12.B.B25.B3.B2.2A.B.A.2B17.A2.2B3.BA2.A.B7.A.B.B
2.BA24.2B20.B2.A3.B.B$5.A2B14.A.B13.B2.A2B4.BA29.AB.B2.B2.B2A.B20.2B.
3B.BA4.BA6.B3.AB.BA24.B2.A19.3B.B3.B$19.B.AB.BA13.B5.B4.3B28.2BA5.B
24.B4.AB4.AB7.B4.B2.B23.A3.B20.A4.B.A$12.B.B9.B16.AB.B.B3.B35.B3.2B
28.AB12.A2B3.2AB26.ABA$11.B2.A4.B2.2B22.A.2B2.B38.A27.AB45.A.A.BA$10.
B2.B6.ABA29.A65.B2.B.BA44.AB$10.3B37.BA69.A.2B$11.A106.2BA3.A58.B.A$
119.A65.B$120.3B46.2B12.A.B$120.ABA40.2A4.B.B4.2B7.B$165.B3.B.B3.A4.
3B2.B$161.2B2.B3.2B5.2B2.B3.BA$48.2A131.2BA$47.4B$47.A2.A7$68.AB$50.B
.B9.A6.BA$47.BA12.3B3.B.BA$43.2B2.B3.B.B6.B2.BA2.B.BA$42.B2.B.B3.B.B
7.BA.BA.A.BA$43.2B2.BA12.AB.2B2.2B$50.B.B9.B2.A2.A$63.B!

EDIT:
Glider rake construction kit:
Now there is a much better p48 forward glider rake than the one above.
demo for p48:

Code: Select all

x = 261, y = 48, rule = MilhinSA
254.AB$47.AB$244.2B2.2BA2.B2.B.2BA$37.2B2.2BA2.B2.B.2BA185.2B2.AB4.B
6.A3.B$32.2B2.AB4.B6.A3.B185.2B4.A2BA5.2B2.B.B$32.2B4.A2BA5.2B2.B.B
204.B.B$51.B.B191.B2.B11.B$38.B2.B11.B204.B.A$51.B.A191.A2BA$38.A2BA$
240.A2BA$33.A2BA216.B.A$46.B.A191.B2.B11.B$33.B2.B11.B204.B.B$46.B.B
185.2B4.A2BA5.2B2.B.B$27.2B4.A2BA5.2B2.B.B185.2B2.AB4.B6.A3.B$27.2B2.
AB4.B6.A3.B190.2B2.2BA2.B2.B.2BA$32.2B2.2BA2.B2.B.2BA$249.AB$42.AB
165.B$2.B205.B.B$.B.B204.B.B$.B.B205.B$2.B7$204.2A$6.2A195.4B$5.4B
194.A2.A$5.A2.A7$225.AB$27.AB188.B.B6.BA$19.B.B6.BA173.2B2.2B7.AB2.B
4.ABA$5.2B2.2B7.AB2.B4.ABA169.2B2.B12.B2.AB2A2.ABA$.2B2.B12.B2.AB2A2.
ABA168.B2.B14.B5.A2.ABA$B2.B14.B5.A2.ABA169.2BA3B2.2B13.A.A.B$.2BA3B
2.2B13.A.A.B174.A13.2B6.B$5.A13.2B6.B!

This method works to make both forward and backrakes for gliders, any period 20 or greater.
First a simple stepper rake and a beehive puffer in the correct orientation are needed.
Then, due to symmetry, they can be combined to make both types of glider rake.
Example for p20:

Code: Select all

x = 73, y = 34, rule = MilhinSA
.B9.B9.B29.B9.B9.B$B.B7.B.B7.B.B27.B.B7.B.B7.B.B$B.B7.B.B7.B.B27.B.B
7.B.B7.B.B$.B9.B9.B29.B9.B9.B8$5.2A39.2A$4.4B37.4B$4.A2.A37.A2.A8$15.
2A39.2A$14.4B37.4B$14.A2.A37.A2.A8$25.2A39.2A$24.4B37.4B$24.A2.A37.A
2.A!

Extra simple rakes can change the orientation of the beehives (for larger periods), if necessary:

Code: Select all

x = 9, y = 33, rule = MilhinSA
5.A2.A$5.4B$6.2A20$6.2B$5.B2.B$6.2B6$.2A$4B$A2.A!

[MilhinSA]

Very interesting. The first breeder is truly unique.

[MilhinSA]

Quick-firing glider gun (p8)

Code: Select all

x = 13, y = 18, rule = MilhinSA
2.10A$.12B$B.2A$.A4.6BA$6.6AB5$10.A$9.A.B$10.2B$9.2A$6.A2B2$6.B4.B$9.
B.B$10.BA!

[MilhinSA]

I found an interesting pattern. I do not even know how to classify it.

Code: Select all

x = 13, y = 18, rule = MilhinSA
2.3A3.3A$.5B.5B$AB3.B.B3.BA$2.A2.B.B2.A$5.B.B$3.A.B.B.A$3.B.B.B.B$3.B
.B.B.B$5.B.B$2.B2.B.B2.B$2.2B.B.B.2B$5.B.B$5.B.B$2.2B.B.B.2B$2.2B.B.B
.2B$5.B.B$5.B.B$4.2B.2B!

[skomick]

I found an interesting pattern. I do not even know how to classify it.

That would be a wickstretcher. Very nice!

[Jackk]

14-cell clean-ish breeder:

Code: Select all

x = 3, y = 11, rule = MilhinSA
A$B$B$.B$.BA$.BA$.BA$.B$B$B$A!

*Does this qualify as clean?

[MilhinSA]

I am not a specialist in the terminology. This is hardly a clean breeder.
But, nevertheless, it is a record minimum breeder. The previous record is 15 cells.

[knightlife]

For 10 cells or less this explosive rule makes it difficult to find a clean breeder:

Code: Select all

x = 3, y = 7, rule = MilhinSA
A$B$B$.B$.BA$.BA$AB!

Interesting, in the above mess there are block puffers breeding on East side (traveling South) similar to this:

Code: Select all

x = 39, y = 55, rule = MilhinSA
34.2B$34.2B3$30.B$29.B$28.AB2.B$32.B$30.A$30.A.B$29.B2.A$30.B4$32.B.B
$32.B.AB$35.A$33.B.B$34.B$32.B3.A.B$32.A$33.A4BA8$14.B.A$16.B$16.B$
14.B.A9$3.A$3.2BA$.A2.2B$5.A$3.B2$3.B$.3B2$.B$B.3B.B2$.A4BA!

So is it a breeder? Probably not since the entire mess never settles.

So now I am finding the smallest quadratic:

Code: Select all

x = 4, y = 3, rule = MilhinSA
A2BA$3.B$3.A!

Is there one smaller than 6 cells?

[MilhinSA]

This, of course, not a breeder. Such periodic spaceships I call "chaotic."

Chaotic:

Code: Select all

x = 10, y = 11, rule = MilhinSA
.2A4.2A$4B2.4B$A8.A$3.4B$.2A4.2A$.BA.2B.AB$B8.B$.8B$.8B2$.A6BA!

Not very clean breeder:

Code: Select all

x = 31, y = 126, rule = MilhinSA
12.7A$11.9B$11.B.5A.B2$12.7A$12.7B$13.5A$15.A$15.B$13.A3.A$13.5B$12.B
.3A.B$11.AB.3A.BA$.A2BA7.7B7.A2BA$.B2.B8.5A8.B2.B$A4.A19.A4.A$.B2.B
21.B2.B$5.B6.2BABA2B6.B$10.A2.ABABA2.A$6.B2.A.B.A3.A.B.A2.B$6.B2.B.3B
A.A3B.B2.B$6.B.B4.B3.B4.B.B$6.B.B.2B.B3.B.2B.B.B$6.B.B3.B2.A2.B3.B.B$
6.A2.4B.BAB.4B2.A$8.B5.ABA5.B$12.B.3A.B$13.B3.B5$10.BA.A3.A.AB$10.A.B
5.B.A$10.A2B5.2BA$8.AB.A7.A.BA$8.A2B9.2BA$6.2BA.A9.A.A2B$6.2B15.2B17$
10.AB.BA.AB.BA$10.2B2.B.B2.2B$13.B3.B$12.B2.B2.B$12.B2.A2.B$11.B2.B.B
2.B$11.B.B3.B.B$11.ABA3.ABA22$13.2B.2B$12.A5.A$3.A.B2.AB2AB2AB2AB2ABA
2.B.A$3.B3.B2.B2AB3AB2AB2.B3.B$3.B3.B.B3.ABABA3.B.B3.B$3.AB.B5.2A.B.
2A5.B.BA$6.B.AB.B3.A3.B.BA.B$9.AB.A.B.B.A.BA$14.B.B$13.B3.B$13.2A.2A$
13.B3.B$12.B2.A2.B$12.B.ABA.B$12.B5.B$12.ABA.ABA$14.BAB$.2B12.B12.2B$
B2.B23.B2.B$.2B25.2B$14.3A$13.5B$13.5A2$12.B.3A.B$12.7B$13.5A2$3.A23.
A$2.3B21.3B$2.B2.B19.B2.B$3.ABA19.ABA$10.B9.B$6.A.A13.A.A$3.A2.B.B4.
2B.2B4.B.B2.A$2.B5.B3.B.B.B.B3.B5.B$3.B.B5.AB5.BA5.B.B$7.2B2.B2A3.2AB
2.2B$10.B.A5.A.B$7.B2A2.BA3.AB2.2AB$10.A.B5.B.A$6.2A3.B7.B3.2A!

Clean breeder:

Code: Select all

x = 27, y = 58, rule = MilhinSA
11.5A$10.7B$10.B.3A.B2$11.5A$11.5B$12.3A3$13.B$12.BAB$11.BA.AB$10.AB.
A.BA$11.5B$.2A9.3A9.2A$4B19.4B$A2.A19.A2.A6$9.A7.A$7.2A.B5.B.2A2$10.B
5.B$7.2B.B5.B.2B$6.B2.2B5.2B2.B$12.B.B$9.2B5.2B$12.B.B$9.AB5.BA$10.BA
3.AB2$7.B.A7.A.B$10.A5.A$7.B.B7.B.B2$11.5B2$10.B5.B$10.B.B.B.B$12.B.B
$10.A.B.B.A$10.B.B.B.B$10.A2B.2BA6$13.B$11.B3.B$9.B7.B$9.A7BA$10.A5.A
$11.B.B.B$11.B.B.B!

[MilhinSA]

knightlife wrote:
So now I am finding the smallest quadratic:

Code: Select all

x = 4, y = 3, rule = MilhinSA
A2BA$3.B$3.A!

Is there one smaller than 6 cells?

I think that at the moment, this is the minimum explosive pattern.

[Jackk]

Is this 5-cell pattern a quadratic?

Code: Select all

x = 5, y = 2, rule = MilhinSA
A2BA$4.B!

[knightlife]

Is this 5-cell pattern a quadratic?

Code: Select all

x = 5, y = 2, rule = MilhinSA
A2BA$4.B!

It might be, but it is hard to tell if chaotic growth will continue forever (seems likely it will but hard to prove). I took it out to 6000 generations but didn't see a clear breeder trail where it is clear that there will be an infinite number of infinitely growing rakes or puffers. That is the easiest way to tell if it is quadratic. Certainly your pattern is the minimum explosive pattern so far.

Here is a 7-cell symmetrical starting pattern, but maybe not quadratic:

Code: Select all

x = 4, y = 4, rule = MilhinSA
A2BA$3.B$3.B$3.A!

Spacefillers are more likely in explosive rules but I have not found one for this rule...

EDIT:
Just found this 5-cell explosive pattern that fits in a 3x4 bounding box:

Code: Select all

x = 4, y = 3, rule = MilhinSA
A2BA2$A!

Also, this 1-dimensional and therefore symmetrical 7-cell is quadratic:

Code: Select all

x = 7, y = 1, rule = MilhinSA
A5BA!

[MilhinSA]

I found a puffer, which has a period of p6.
At the moment, it is the smallest period that I know of puffers.

Code: Select all

x = 13, y = 10, rule = MilhinSA
.11A$13B$A5.A5.A$4.B3.B$3.2A.A.2A$4.5B$3.A5.A$5.B.B$5.B.B$4.2B.2B!

[Tropylium]

If c/2 is the maximum speed for spaceships and there are no objects with a width less than 2, then yes, period 6 is going to be the smallest possible for a puffer.

(Well a string of blocks is actually a single pseudo still life, so we might call even this rather a wickstretcher, but close enough.)

The puffer seems very robust: it will survive just about any way of igniting the block output.

[glider_rider]

Backrake:

Code: Select all

x = 4, y = 8, rule = MilhinSA
.B$B2.A$.B.B$.B.B$.B.B$.B.B$B2.A$.B!

Extensible spaceship based on that p6 puffer:

Code: Select all

x = 13, y = 45, rule = MilhinSA
A11BA2$B3.B.A.B3.B2$3.B.B.B.B$5.B.B$3.3B.3B3$5.B.B$4.2B.2B2$4.2B.2B$
4.2B.2B2$4.2B.2B$4.2B.2B2$4.2B.2B$4.2B.2B2$4.2B.2B$4.2B.2B2$4.2B.2B$
4.2B.2B2$4.2B.2B$4.2B.2B2$4.2B.2B$4.2B.2B2$4.2B.2B$4.2B.2B2$4.2B.2B2$
4.A3BA4$5.3A$6.B$6.A!

[MilhinSA]

Extensible spaceship based on that p6 puffer:

It's cool.
I've been looking for a similar wick. They always burn faster than the spaceship fly away from them.

[MilhinSA]

Added a new collection. Similar patterns have been removed.

[dvgrn]

Added a new collection. Similar patterns have been removed.

Golly 2.5 seems to have some trouble opening this ZIP file directly. It gives warnings about an incompatible compression method, and fails to build a working .rule file.

I've attached a rebuilt archive with a .rule file in place of the .table and .colors files:

MilhinSA.v3b-Golly2.5.zip

rebuilt archive for Golly 2.5

(259.16 KiB) Downloaded 310 times

Also fixed five rule names -- Golly also gave a warning about "milhinsa" not matching "MilhinSA".

[MilhinSA]

Thank you very much for your help. I can not upload your file. Size larger than 256 KB.

[dvgrn]

Thank you very much for your help. I can not upload your file. Size larger than 256 KB.

Turns out I can fix that by taking out a lot of lines from your rule table. If you use the "permute" symmetry option and one more variable, you only need five lines in your transition table:

MilhinSA.v3c.Golly2.5.zip

Updated .rule file using 'permute' option

(246.49 KiB) Downloaded 334 times

I tested some large rake and breeder patterns and got cell-for-cell agreement, so I'm fairly sure that the new rule table is functionally equivalent to the old one.

[MilhinSA]

The new table is impressive.
Unfortunately, I have not yet mastered this technology.
I want to correct the names of image files.
Need to remove the extra numerical indices.
After that, I'll use your version of the rules.
Thank you very much.

[bprentice]

Dave,

In your archive MilhinSA.v3c.Golly2.5.zip there is a file MilhinSA2.rule. What is that? It does not seem to be an alternative to MilhinSA.rule.

Brian Prentice

[dvgrn]

In your archive MilhinSA.v3c.Golly2.5.zip there is a file MilhinSA2.rule. What is that? It does not seem to be an alternative to MilhinSA.rule.

No -- sorry about that. I'm not sure what version of that file ended up in the archive, but that was just my test rule (to make sure that the new smaller rule and the old long one did exactly the same things.)

Just delete my temporary ZIP file, anyway, and download the new official archive that M.S. has updated and posted in the first message in the thread.

[twinb7]

Did anyone compress this?
This should be the exact same rule, but 6500 lines shorter...

Code: Select all

@RULE MilhinSA
@TABLE
n_states: 3
neighborhood: Moore
symmetries: permute
#0: empty
#1: young
#2: old
var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var b={1,2}
0,2,2,b,0,0,0,0,0,1
1,a1,a2,a3,a4,a5,a6,a7,a8,2
2,b,2,0,0,0,0,0,0,2
2,b,2,2,0,0,0,0,0,2
2,a1,a2,a3,a4,a5,a6,a7,a8,0