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R-pentomino neutronium

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R-pentomino neutronium

Postby turnip » March 10th, 2014, 9:34 am

I created a rule I called Neutronium, which is CGOL plus a third state, which is created when a live cell is surrounded by 8 live cells. Rather than dying, it turns into neutronium, which is considered live, and never dies:

@RULE Neutronium
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={1,2}
var b={1,2}
var c={1,2}
var d={1,2}
var e={1,2}
var f={1,2}
var g={1,2}
var h={1,2}

0,a,b,c,0,0,0,0,0,1
1,0,0,0,0,0,0,0,0,0
1,a,0,0,0,0,0,0,0,0
1,a,b,c,d,0,0,0,0,0
1,a,b,c,d,e,0,0,0,0
1,a,b,c,d,e,f,0,0,0
1,a,b,c,d,e,f,g,0,0
1,a,b,c,d,e,f,g,h,2
@COLORS
0 48 48 48
1 255 255 255
2 255 0 0

I ran all the pentominos through it. Most of them (not surprisingly) behaved exactly as they do in CGOL, with the exception of the I pentomino, which turns into the following in two generations:
.....O
...O...O
.O...N...O
...O...O
.....O

But the oddest surprise was the r-pentonimo, which after 76,398 generations had a population of 86,158,122, including an estimated 20,000 gliders flying out in four huge sparse triangular formations (and about 20 orthogonal spaceships), fleeing a central seething ball of neutronioum growing at a rate of about 2/11c:
Image
(this is my first post on this board. Please Let me know if I am in breach of any forum etiquette)
--Mike Turniansky
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Re: R-pentomino neutronium

Postby twinb7 » March 10th, 2014, 9:42 am

You're not in any breach of forum etiquette! Welcome to the forums!
This rule is interesting- and adding a live cell that never dies might make some useful signal circuitry like reflectors. It might be even more useful if Neutronium ALMOST never died. I'll look into this rule and see what I can find
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Re: R-pentomino neutronium

Postby twinb7 » March 10th, 2014, 9:51 am

A bit of stuff was already technically explored with Neutronium by Extrementhusiast, who made an extended life rule with Neutronium (however, it didn't occur naturally and wasn't given such a cool name. Check http://code.google.com/p/ruletablerepository/wiki/TheRules)
The table was
@RULE extendedlife

@TABLE

n_states:7
neighborhood:Moore
symmetries:permute

# General Behavior:
#
# 0 is empty
# 1 is on
# 2 is birthforcer
# 3 is deathforcer
# 4 is birthforcer + deathforcer
# 5 is blocker
# 6 is reactor
#
# Specific Behavior
# 0 changes to 1 when (state1 neighbors + state6 neighbors) == 3
# 0 changes to 1 when (state2 neighbors + state4 neighbors) >= 1
# otherwise 0 stays 0
#
# 1 changes to 0 when (state1 neighbors + state6 neighbors) != 2, 3
# 1 changes to 0 when (state3 neighbors + state4 neighbors) >= 1
# otherwise 1 stays 1
#
# 2 always stays 2
#
# 3 always stays 3
#
# 4 always stays 4
#
# 5 always stays 5
#
# 6 always stays 6

var a={2,4}
var b={0,1,2,3,4,5,6}
var c={b}
var d={b}
var e={b}
var f={b}
var g={b}
var h={b}
var i={1,6}
var j={i}
var k={i}
var L={i}
var m={i}
var n={i}
var o={i}
var p={i}
var q={0,2,3,4,5}
var r={q}
var s={q}
var t={q}
var u={q}
var v={q}
var w={q}
var x={q}
var y={3,4}

# 0 birthforcer
0,a,b,c,d,e,f,g,h,1

# 0 normal birth
0,i,j,k,q,r,s,t,u,1

# 1 deathforcer
1,y,b,c,d,e,f,g,h,0

# 1 normal death
1,q,r,s,t,u,v,w,x,0
1,i,r,s,t,u,v,w,x,0
1,i,j,k,L,u,v,w,x,0
1,i,j,k,L,m,v,w,x,0
1,i,j,k,L,m,n,w,x,0
1,i,j,k,L,m,n,o,x,0
1,i,j,k,L,m,n,o,p,0

@COLORS

0   0   0   0
1 255 255   0
2   0 255   0
3   0   0 255
4   0 255 255
5 153 153 153
6 255 255 128


A new eater given there was
x = 66, y = 8, rule = extendedlife
56.A$54.A.A$55.2A$2.2A15.A$A4.A11.A3.A12.A2.A$6.A15.A15.A22.2A.F$A5.A
10.A4.A11.A3.A21.A2.2FE$.6A11.5A12.4A22.2A.F!


So, I made a stable form with Neutronium:
x = 52, y = 8, rule = Neutronium
39.A$37.A.A$38.2A$2.A$A3.A12.A2.A$5.A15.A22.2A.B.2B$A4.A11.A3.A21.A2.
2B.B.B$.5A12.4A22.2A.B.2B!


Last to note, the HWSS is now unstable because a cell of Neutronium is created.

I wonder if there are any Neutronium guns, like

x = 3, y = 3, rule = extendedlife
B.B2$B.B!


from extendedlife.

---
P.S. stabilized the eater in a smaller form, at least for SSes:
x = 24, y = 5, rule = Neutronium
A2.A19.B$4.A13.2A.B$A3.A12.A2.3B$.4A13.2A.B$23.B!
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Re: R-pentomino neutronium

Postby turnip » March 10th, 2014, 10:25 am

Interesting to note about the the HWSS. No wonder I haven't seen any show up with the the r-pentomino pattern.

BTW, when I originally started this idea, I didn't notice the limitation on how variables worked in the @TABLE, and I accidentally forgot the true isolation death rule, so my rule looked like this:
@RULE BadNeutronium
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={1,2}
0,a,a,a,0,0,0,0,0,1
1,a,0,0,0,0,0,0,0,0
1,a,a,a,a,0,0,0,0,0
1,a,a,a,a,a,0,0,0,0
1,a,a,a,a,a,a,0,0,0
1,a,a,a,a,a,a,a,0,0
1,a,a,a,a,a,a,a,a,2

Which grows an incredibly intricate and beautiful fractal-like pattern when you start with the r-pentomino.
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Re: R-pentomino neutronium

Postby twinb7 » March 10th, 2014, 4:02 pm

turnip wrote:Interesting to note about the the HWSS. No wonder I haven't seen any show up with the the r-pentomino pattern.

BTW, when I originally started this idea, I didn't notice the limitation on how variables worked in the @TABLE, and I accidentally forgot the true isolation death rule, so my rule looked like this...


So it's like B3/S023, with Neutronium?

I actually like it, note this wickstretcher which occurs in the R-pentomino's evolution:

x = 34, y = 6, rule = BadNeutronium
2.A4.A$.2A4.A2.B2.A6.B2.A6.B2.A$2A.A3.2A$.A.A5.A5.B2.A6.B2.A$2.2A$6.A
.A!


The fractal-ness is really cool, and looks almost identical to a Julia set! Namely its because the B-heptomino is a chaotic replicator.
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Re: R-pentomino neutronium

Postby twinb7 » March 10th, 2014, 4:40 pm

Also, since Neutronium doesn't die it can easily replace the rotor of any oscillator.

x = 13, y = 13, rule = Neutronium
2.ABA3.ABA2$A4.A.A4.A$B4.B.B4.B$A4.B.B4.A$2.A2B3.2BA2$2.A2B3.2BA$A4.B
.B4.A$B4.B.B4.B$A4.A.A4.A2$2.ABA3.ABA!


Other random patterns that may or may not be of interest:

x = 4, y = 7, rule = Neutronium
2A$A.A$2.A$B.2A$2.A$A.A$2A!


x = 4, y = 10, rule = Neutronium
2A$A.A$2.A$B.2A$2.A$2.A$B.2A$2.A$A.A$2A!


Very small pipsquirter:
x = 4, y = 5, rule = Neutronium
.2A$.B.A$3B$.B.A$.2A!
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Re: R-pentomino neutronium

Postby twinb7 » March 11th, 2014, 2:22 pm

This rule is really cool. The following shows that you can use a block to make a very small eater with almost identical functionality to the eater 1, along with another eater that regenerates a beehive. There are also a load of neutronium core oscillators that make sparks that could be incredibly useful.

x = 107, y = 73, rule = Neutronium
97.B$97.B$96.3B$97.B$96.A.A$89.B6.A.A6.B$89.B7.A7.B$88.3B13.3B$89.B
15.B$79.A8.A.A13.A.A$78.A9.A.A13.A.A$78.3A8.A15.A10$26.A$25.A7.5A11.
4A$25.3A5.A4.A10.A3.A$33.A15.A$22.BA10.A3.A11.A2.A$22.BA12.A47.A$71.A
2.A7.A3.A$58.B.2A8.A10.A$56.4B2.A7.A3.A6.A4.A$58.B.2A8.4A7.5A7$17.3A
19.B$15.2A.B.2A15.B.B.B$14.3A.B.3A13.7B$13.A.B2.B2.B.A13.B.B.B$12.A.
9B.A14.B$12.A.A.A.B.A.A.A$13.A9.A5$97.A$96.A.A$95.A3.A$2.2A7.2A83.3A$
.A2.A7.A12.A$A.B.A4.3A13.A68.2A3.2A$.A.A6.B81.A3.A.A3.A$2.A6.3B11.A.B
.A11.B51.2A3.A.A3.2A$10.B12.A3BA10.3B49.A5.A.A5.A$10.B14.B13.B51.A.2A
.A.A.2A.A11$64.3A$64.A2.A$64.A$64.A$65.A.A!
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Re: R-pentomino neutronium

Postby Kazyan » March 11th, 2014, 3:14 pm

Some hand-found oscillators. Neutronium seems conductive to p3, in particular.

x = 64, y = 16, rule = Neutronium
4$45.B$32.A$31.A.A25.2A$.A7.A6.A6.3B5.2B25.4B$.A2B5.8B6.B.B6.B5.2A.A
7.A.2A4.AB2.BA$.A2B4.2A6.2A5.3B6.B6.4B2.B2.4B5.AB2.BA$2.3A25.A.2B4.2A
.A7.A.2A5.4B$31.A.A25.2A$32.A2$45.B!


EDIT: A p8 with a strong spark.

x = 8, y = 4, rule = Neutronium
5.A.A$2A3.2BA$2A2.A$5.B!
Last edited by Kazyan on March 11th, 2014, 8:14 pm, edited 1 time in total.
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Re: R-pentomino neutronium

Postby twinb7 » March 11th, 2014, 3:34 pm

Two eaters hassling each other...
x = 12, y = 3, rule = Neutronium
2.B6.B$4B4.4B$2.B6.B!


At some point I'll get to using one of those small pipsquirters to really reduce the size of reflectors.
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Re: R-pentomino neutronium

Postby dvgrn » March 11th, 2014, 8:07 pm

twinb7 wrote:Two eaters hassling each other...

Hmm, there's a p13 version too:

x = 12, y = 6, rule = Neutronium
2.BA$4B$2.BA$8.AB$8.4B$8.AB!

twinb7 wrote:At some point I'll get to using one of those small pipsquirters to really reduce the size of reflectors.

I suppose that could work, as long as you still have workable logic circuitry and guns and such, to make reflectable gliders with. I'd be out of my element, personally, since Neutronium breaks Herschel circuitry, or nearly all of it anyway: there might just barely be a universal set left, since Fx77 and R64 are still intact. But anything with an R-pentomino stage is hopeless.

Could perfectly well build new Herschel conduits out of neutronium, of course, but that's a lot of work... Pentadecathlons are toast, and so are p46 guns and reflectors. But it looks like a fair fraction of p30 logic circuitry would still be usable:

x = 272, y = 176, rule = Neutronium
161.2A$162.A$162.A.A8.2A$163.2A6.A2.A$170.A7.5A$170.A6.A5.A$170.A7.2A
3.A$171.A2.A7.A$173.2A9$80.2A$80.3A$66.A15.2A.A$64.A.A4.3A8.A2.A5.2A$
63.A.A16.2A.A5.2A$57.2A3.A2.A7.A2.2A2.3A$57.2A4.A.A7.A3.A2.2A$64.A.A
6.A2.A$66.A8.2A4$84.A$82.A.A$83.2A$126.A9.2A$125.A.A7.4A$118.2A4.A.2A
6.A.A.A2.A.A$118.2A3.2A.2A7.2A.2A.A2.A$91.A32.A.2A7.2A.A5.2A6.2A$92.A
32.A.A8.2A4.A3.2A4.2A$90.3A33.A7.3A7.2A$136.A4.A2.A$134.A6.A.A$135.2A
$235.2A$234.3A$99.A131.A.2A15.A$97.A.A124.2A5.A2.A8.3A4.A.A$98.2A29.
2A93.2A5.A.2A16.A.A$130.2A102.3A2.2A2.A7.A2.A3.2A$129.A105.2A2.A3.A7.
A.A4.2A$240.A2.A6.A.A$240.2A8.A$106.A110.A2.A$107.A93.4A11.A14.4A$
105.3A14.A78.A3.A10.A3.A10.A3.A$122.2A77.A14.4A11.A$121.A.A74.2A2.A2.
A26.A2.A$197.A.A$197.A46.2A$196.2A45.2A$114.A130.A$112.A.A6.2A$113.2A
6.A2.A108.2A$116.2A7.A6.2A100.2A$118.A6.A6.2A99.A18.2A9.A$125.A125.4A
7.A.A$113.2A6.A2.A121.A.A2.A2.3A5.2A.A4.2A$112.A.A6.2A96.A25.A2.A2.2A
9.2A.2A3.2A$112.A103.4A3.A.2A17.2A9.A6.2A.A$111.2A95.2A5.4A4.A.A.2A2.
2A9.2A3.A8.A5.A.A$208.2A5.A2.A3.2A.A.2A2.A.A10.2A10.A6.A$215.4A3.2A8.
3A10.A2.A$216.4A3.2A8.3A10.A.A$219.A12.3A$231.A.A$231.2A10$20.2A$20.
2A5$20.A$20.A$19.A.A$18.2A.2A103.A$17.A5.A101.2A$20.A93.2A8.2A11.2A$
17.2A3.2A90.2A7.3A7.A3.3A$124.2A5.4A4.2A.A$125.2A2.A4.A4.A2.A5.2A$
126.A2.A3.A5.2A.A5.2A$108.A.A19.A.2A3.3A$106.A3.A26.2A$98.A7.A12.2A$
17.2A78.4A4.A4.A8.2A$18.A77.2A.A.A4.A16.A.A$15.3A67.2A8.3A.A2.A3.A3.A
12.2A$15.A69.2A9.2A.A.A6.A.A13.A$97.4A$98.A$109.A$107.A.A$108.2A7.A$
115.2A$116.2A27.A$112.2A31.A.A$112.A.A30.2A$114.A$114.2A$64.A$62.3A$
61.A$61.2A49.A$112.3A$115.A$114.2A8.A$56.2A64.A.A$57.2A64.2A$56.A62.A
$118.2A$118.A.A6$126.2A5.2A$125.2A6.A$127.A6.3A$136.A$99.A$34.2A5.2A
54.3A$34.A7.2A52.A$25.2A5.A.A6.A54.2A36.A$24.A.A5.2A99.2A$9.A.A11.A
109.A.A$4.A4.A2.A10.A2.A117.A$5.2A5.2A9.A67.3A49.A.A$2A8.A3.2A8.A.A
66.A38.A8.2A3.A9.2A$2A10.2A11.2A65.A39.4A5.2A3.A9.2A$9.A2.A8.A100.2A
9.4A4.2A3.A$9.A.A10.2A98.2A9.A2.A6.A.A$21.2A104.A5.4A7.A$127.A4.4A$
84.2A46.A$83.A.A$26.2A57.A$27.2A$26.A$15.2A$14.A3.A$3.2A8.A5.A7.A$3.
2A8.A3.A.2A4.A.A48.3A$13.A5.A3.2A12.2A39.A$14.A3.A4.2A12.2A38.A$15.2A
6.2A$25.A.A$27.A$58.A8.A2.A$57.A.A10.A$50.2A3.2A3.A5.2A3.A2.A$50.2A3.
2A3.A4.A.A.2A3.4A$55.2A3.A14.4A5.2A$57.A.A5.2A8.A2.A5.2A$58.A16.4A$
74.4A$74.A!
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Re: R-pentomino neutronium

Postby c0b0p0 » March 13th, 2014, 6:10 pm

twinb7 wrote:It might be even more useful if Neutronium ALMOST never died.


I did exactly that, making a switchable version of Neutronium which I named with a random stroke across my keyboard:
@RULE Nde

@TABLE

n_states:3
neighborhood:Moore
symmetries:permute

var a={0,1,2}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={a}
var h={a}
var i={a}
var j={a}
var k={a}
var l={a}
var m={1,2}
var n={m}
var o={m}
var p={m}
var q={m}
var r={m}
1,1,1,1,1,1,1,1,1,2 # a living cell with 8 neighbors becomes Neutronium
0,m,n,o,0,0,0,0,0,1
1,a,0,0,0,0,0,0,0,0
1,m,n,o,p,b,c,d,e,0
2,m,n,o,p,q,r,b,c,0 # a Neutronium cell with 6 neighbors dies
@COLORS

# colors from
# http://necsi.org/postdocs/sayama/sdsr/java/loops.java
# Color.black,Color.blue,Color.red,Color.green,
# Color.yellow,Color.magenta,Color.white,Color.cyan,Color.orange
1  0    0  255
2  255  0    0


In this rule, the B-heptomino turns into a knightpuffer which releases gliders.
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Re: R-pentomino neutronium

Postby twinb7 » March 13th, 2014, 9:34 pm

c0b0p0 wrote:
twinb7 wrote:It might be even more useful if Neutronium ALMOST never died.


I did exactly that, making a switchable version of Neutronium which I named with a random stroke across my keyboard:
@RULE Nde

@TABLE

n_states:3
neighborhood:Moore
symmetries:permute

var a={0,1,2}
var b={a}
var c={a}
var d={a}
var e={a}
var f={a}
var g={a}
var h={a}
var i={a}
var j={a}
var k={a}
var l={a}
var m={1,2}
var n={m}
var o={m}
var p={m}
var q={m}
var r={m}
1,1,1,1,1,1,1,1,1,2 # a living cell with 8 neighbors becomes Neutronium
0,m,n,o,0,0,0,0,0,1
1,a,0,0,0,0,0,0,0,0
1,m,n,o,p,b,c,d,e,0
2,m,n,o,p,q,r,b,c,0 # a Neutronium cell with 6 neighbors dies
@COLORS

# colors from
# http://necsi.org/postdocs/sayama/sdsr/java/loops.java
# Color.black,Color.blue,Color.red,Color.green,
# Color.yellow,Color.magenta,Color.white,Color.cyan,Color.orange
1  255    255  255
2  255  0    0


In this rule, the B-heptomino turns into a knightpuffer which releases gliders.


The random stroke was nice, but I'm gonna call it Neutronium-6, because that makes it sound science-y!

And I'm gonna stick with the white-red colors, but no one else needs to know about that.

But alas, the wonderful, wonderful eater is unstable:
x = 4, y = 3, rule = Nde
2.B$4B$2.B!


I suppose this one is still stable:
x = 19, y = 7, rule = Nde
5.A$4.A10.A2.A$4.3A7.A$14.A3.A$14.4A$BA$BA!


The Herschel's evolution is really cool, sprouting a ton of B-heptomino puffers (of course, after looking at more patterns, apparently this isn't uncommon)
x = 3, y = 4, rule = Nde
A$3A$A.A$2.A!


Lastly, after a while, I realize your 6 neighbors means 'Life' neighbors, and not including Neutronium neighbors, because the center Neutronium cell here dies:
x = 9, y = 3, rule = Nde
2B5.2B$.7B$2B5.2B!
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Re: R-pentomino neutronium

Postby twinb7 » March 13th, 2014, 9:40 pm

I've been bored.
x = 15, y = 11, rule = Neutronium
8.B$3.B4.3B$2.B.B6.B$2.2B.B.B.B.B$3.B.B.B.B.3B$2.2B2.4B2.B.B$2.B.2B4.
3B.B$.2B.B.3B$B2.B.2B5.B$.B2.B$5.2B!
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Re: R-pentomino neutronium

Postby twinb7 » March 14th, 2014, 12:38 pm

Useless accidental find, B-heps making a row of eaters before one is annihilated....

x = 8, y = 143, rule = Nde
6.2A$5.2A$6.2A$7.A136$2.A$.2A$2A$.2A!
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Re: R-pentomino neutronium

Postby c0b0p0 » March 14th, 2014, 6:44 pm

[quote="twinb7]

Lastly, after a while, I realize your 6 neighbors are 'Life' neighbors, and not including Neutronium neighbors, because the center Neutronium cell here dies:
x = 9, y = 3, rule = Nde
2B5.2B$.7B$2B5.2B!
[/quote]

Yes, the Neutronium dies if it has six or more live neighbors, including Neutronium neighbors, due to the final line in the rule table.

Below is a "chaos puffer". You will probably recognize it as Puffer 2.
x = 5, y = 18, rule = Nde
3.A$4.A$A3.A$.4A4$A$.AA$..A$..A$.A3$3.A$4.A$A3.A$.4A!

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Re: R-pentomino neutronium

Postby twinb7 » March 20th, 2014, 11:14 am

I've been trying to make a CLEAN quadratic growth pattern with B-puffers in Nde. No success.
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Re: R-pentomino neutronium

Postby c0b0p0 » March 20th, 2014, 10:19 pm

twinb7 wrote:I've been trying to make a CLEAN quadratic growth pattern with B-puffers in Nde. No success.

You would probably need rakes with a period around 520.
To do that with only the spacerakes working would make the first task filtering out most of the gliders.
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Re: R-pentomino neutronium

Postby Extrementhusiast » March 21st, 2014, 6:52 pm

twinb7 wrote:It might be even more useful if Neutronium ALMOST never died.

I actually have eight variations on this; see thread "Conway's Game of Stones" for the first.
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Re: R-pentomino neutronium

Postby Alexey_Nigin » June 14th, 2015, 4:33 pm

I liked Neutronium and decided to make my own variation.

@RULE DoubleN

Similar to the Neutronium rule by Mike Turniansky, but with richer behaviour.

Made by Alexey Nigin (twitter.com/AlexeyNigin).

@TABLE

n_states:4
neighborhood:Moore
symmetries:permute

var a1={0,1,2,3}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var o1={1,3}
var o2=o1
var o3=o1
var b1={0,2}
var b2=b1
var b3=b1
var b4=b1
var b5=b1
var f1={1,2,3}
var f2=f1
var f3=f1
var f4=f1
var f5=f1
var f6=f1
var f7=f1
var f8=f1
var x={0,1}

0,f1,f2,f3,f4,f5,f6,f7,f8,2
1,f1,f2,f3,f4,f5,f6,f7,f8,3
2,f1,f2,f3,f4,f5,f6,f7,f8,0
3,f1,f2,f3,f4,f5,f6,f7,f8,1

0,o1,o2,o3,b1,b2,b3,b4,b5,1
1,o1,o2,a1,b1,b2,b3,b4,b5,1

x,a1,a2,a3,a4,a5,a6,a7,a8,0

@COLORS

0  48  48  48
1 255 255 255
2  32  32 255
3 255  16  16


My rule has two almost-never-dying states.

I expected it to be quite stable, but this prediction was wrong.

By the way, congratulations to moderators: your headache is back on the forums, so you will not get bored in the near future.
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Re: R-pentomino neutronium

Postby Alexey_Nigin » June 15th, 2015, 4:18 am

p19:

x = 6, y = 5, rule = DoubleN
B.A$.C2.AB$.A$2.A.C$4.B!


A puffer:

x = 23, y = 57, rule = DoubleN
3.3A11.3A$2.A17.A$3.A2.3A.3A.3A2.A$5.A2.A.A.A.A2.A$7.2A.A.A.2A$7.A2.A
.A2.A$10.A.A$7.A2.A.A2.A$8.A.A.A.A$8.A.A.A.A$5.2A.A.A.A.A.2A$5.2A.A.A
.A.A.2A$2.3A3.A.A.A.A3.3A$.A5.2A.A.A.2A5.A$2.A.2A2.A.A.A.A2.2A.A$5.2A
.A.A.A.A.2A$5.2A.A.A.A.A.2A$6.A.A.A.A.A.A$8.A.A.A.A$4.A.A.A.A.A.A.A.A
$3.3A.2A.A.A.2A.3A$3.5A2.A.A2.5A$7.2A.A.A.2A$3.2A5.A.A5.2A$2.A2.A4.A.
A4.A2.A$3.A.A2.A.A.A.A2.A.A$2.2A.2A9.2A.2A$2.2A.A.A2.3A2.A.A.2A2$2.2A
3.3A3.3A3.2A$.A19.A$2A3.2A4.A4.2A3.2A$3.3A11.3A$3.A15.A$2A.A.A11.A.A.
2A$2A.A.A.2A5.2A.A.A.2A$3.A.A.2A5.2A.A.A$2.A.A.3A5.3A.A.A2$4.3A9.3A$
4.3A.A.A.A.A.3A$5.5A.A.5A$10.A.A$10.3A$7.A.A3.A.A2$5.2A.3A.3A.2A$5.A
11.A$4.A2.A7.A2.A$4.A4.A3.A4.A$9.A3.A$3.6A5.6A$2.2A7.A7.2A$10.A.A$10.
3A2$11.B!


Another puffer:

x = 16, y = 22, rule = DoubleN
7.3A$6.A$9.A$4.2A$2.2A$.2A.5A$A7.A4.A$.3A2.2A.A3.2A$2.2A2.A4.A3.A$11.
2A2.A$15.A$15.A$11.2A2.A$2.2A2.A4.A3.A$.3A2.2A.A3.2A$A7.A4.A$.2A.5A$
2.2A$4.2A$9.A$6.A$7.3A!


Look at the weekender:

x = 16, y = 11, rule = DoubleN
.A12.A$.A12.A$A.A10.A.A$.A12.A$.A12.A$2.A3.4A3.A$6.4A$2.4A4.4A2$4.A6.
A$5.2A2.2A!
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Re: R-pentomino neutronium

Postby A for awesome » June 15th, 2015, 10:04 am

Four different glider-neutronium collisions:
x = 31, y = 5, rule = DoubleN
C10.C10.C6.C2$.3A8.2A8.2A4.2A$.A10.A.A7.A.A3.A.A$2.A9.A9.A5.A!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Re: R-pentomino neutronium

Postby BlinkerSpawn » June 17th, 2015, 5:24 pm

p31 can reflect gliders if supported by neutronium:
x = 28, y = 19, rule = DoubleN
5.A9.A.A7.A.A$5.A.A7.2A8.2A$5.2A9.A9.A2$25.B3$.B9.B8.B3$2.3A7.3A7.3A$
.A3.A5.A3.A5.A3.A$A5.A3.A5.A3.A5.A$3.A9.A9.A$2.A.A7.A.A7.A.A$BC3.CB3.
BC3.CB3.BC3.CB$.A.A.A5.A.A.A5.A.A.A$2.3C7.3C7.3C$3.B9.B9.B!


R-to-Pi-to-G, repeat time 29(!):
x = 13, y = 11, rule = DoubleN
11.C$10.B$5.B3$2A$.2A$.A10.B3$2.B3.BCB!

H-to-G, repeat time 62:
x = 18, y = 25, rule = DoubleN
11.B2$B3$14.B3$7.B4.C3.B3$16.B4$15.B7$15.3A$16.A$14.3A!

Beehive stopper:
x = 9, y = 17, rule = DoubleN
2.2B$2.2C$2.2A2$.A$.2A$A.A$5.B7$7.A$6.2A$6.A.A!

Smallest found oscillators for periods 60 or less (except 47, 51, 58, and 59):
x = 194, y = 115, rule = DoubleN
102.B2.B38.C$74.A2CA56.A2C5.C.C$100.2A31.A2.A6.B20.A2.A$3B3.A23.B.3B
25.3B.3B7.C2.C12.3B.3B3.ACA17.B.B.3B6.2CA14.3B.3B7.A2CA$2.B3.A23.B3.B
3.C2B2C19.B3.B25.B3.B4.2BC16.B.B3.B23.B5.B8.2A$3B3.A23.B.3B2.B2C20.3B
.3B7.A2CA12.3B.3B7.B15.3B.3B23.3B.3B8.2B$B29.B.B5.A3.A17.B3.B27.B.B
27.B.B27.B.B$3B27.B.3B8.A16.3B.3B23.3B.3B25.B.3B23.3B.3B27.B3.B$39.B$
180.B11.B$114.B$179.B5.B.B5.B2$113.A.A$3B27.B.3B7.A17.3B.3B23.3B.3B
17.C5.B.B.3B23.3B.3B26.2A3.2A$2.B27.B3.B5.B2.C18.B3.B10.B14.B3.B16.C.
C4.B.B3.B6.B16.B5.B25.B.C.C.C.B$3B4.C22.B.3B6.CA17.3B.3B7.BAC13.3B.3B
15.AC.CA3.3B.3B5.C2.B14.3B.3B26.AB3.BA$2.B2.C.C22.B3.B5.B2.C16.B5.B5.
B19.B3.B15.B3.B5.B3.B4.C.A18.B3.B27.C.C.C$3B3.B23.B.3B7.A17.3B.3B5.2C
.A14.3B.3B25.B.3B3.B2C17.3B.3B$72.C.B56.CA$138.B$133.B3$73.B93.A2CA$B
.B4.C22.B.B.B13.A2C9.3B.B.B23.3B.B.B23.B.B.B.B23.3B.B.B10.C2.C$B.B27.
B.B.B12.A2.A11.B.B.B5.ACB17.B.B.B7.B3.B11.B.B.B.B23.B3.B.B9.AC2.CA$3B
2.3C22.B.3B12.2CA10.3B.3B5.AC16.3B.3B12.CB9.3B.3B14.A2CA5.3B.3B9.A4.A
$2.B27.B3.B25.B5.B4.C.B18.B3.B11.A.C11.B3.B25.B3.B10.B2CB$2.B4.C22.B
3.B25.3B3.B3.B2C17.3B3.B7.B3.A.CB10.B3.B14.C2.C5.3B3.B$108.A.C22.2C$
109.CB22.C2.A4.A2CA$104.B3.B$134.A.C3$3B4.C22.B.3B6.2CB16.3B.3B13.B9.
3B.3B7.B15.B.B.3B23.3B.3B23.2A4.2A$B5.A23.B.B7.B2.BC17.B.B16.AC9.B.B
25.B.B.B4.B.CB17.B3.B25.2A4.2CB$3B2.C.C22.B.3B8.ACB14.3B.3B13.C9.3B.
3B5.BC16.3B.3B.A.2A18.3B.3B30.A$2.B3.A23.B3.B8.A16.B5.B16.C8.B3.B5.C.
A17.B3.B.AC22.B3.B28.B$3B4.C22.B.3B25.3B.3B14.CA7.3B.3B4.B2C18.B.3B3.
A2.B16.3B.3B$83.B18.CA24.AC$128.A.B$103.B$180.CA2.AC$114.B66.B2CB$72.
B$3B27.B.3B5.2C18.3B.3B4.AC17.3B.3B18.C4.B.B.3B12.B10.3B.3B3.B7.B$B4.
B2.C21.B.B6.A2.A19.B.B5.C5.B15.B.B18.ACA4.B.B.B11.B6.B6.B3.B6.2A$3B2.
CACB21.B.3B4.C2.C17.3B.3B2.BC19.3B.3B16.C6.3B.3B15.AC6.3B.3B$B.B2.B2.
C21.B.B.B4.A2.A17.B3.B.B3.C5.B15.B.B.B16.C8.B.B.B11.3A2.C8.B.B.B4.BCB
CBCB$.2B27.B2.2B25.3B2.2B4.AC17.3B2.2B16.ACA6.B2.2B11.A2.2C7.3B2.2B$
72.B42.C24.C$139.AC$114.B24.B2$101.B3.B$168.2C3.2A$3B3.B2C21.B.3B25.
3B.3B23.3B.3B5.A.A15.B.B.3B23.3B.3B10.B5.A$2.B3.CA22.B3.B27.B3.B25.B
3.B6.C16.B.B3.B23.B5.B11.C7.B$2.B27.B3.B12.B12.3B3.B4.B18.3B3.B5.C.C
15.3B3.B23.3B3.B18.C.C$2.B27.B3.B11.C13.B5.B25.B3.B4.AC.CA16.B3.B25.B
3.B18.C.C$2.B5.AC20.B3.B10.C14.3B3.B4.C2ACB14.3B3.B25.B3.B23.3B3.B19.
B$7.2CB34.B2CA2.B19.A2C.C98.A$45.2A23.A2.A99.2A$71.C62.C$134.C.C$135.
B6.2C$8.B132.A2.A$3B4.ACA20.B.3B5.A19.3B.3B9.B4.A.B6.3B.3B23.B.B.3B
14.C2.C5.3B.3B$B.B5.C.A19.B.B.B4.A.A20.B.B.B13.2A10.B.B.B6.B16.B.B.B.
B14.A2.A5.B3.B.B$.B7.A20.B2.B5.A.A18.3B2.B15.A8.3B2.B5.B18.3B2.B24.3B
2.B$B.B3.BA22.B.B.B5.C19.B3.B.B25.B.B.B3.AC20.B.B.B25.B.B.B$3B27.B.3B
5.C19.3B.3B11.B2.B8.3B.3B2.C22.B.3B23.3B.3B$39.A.A56.BCA6.C28.B$40.A
58.C$100.AC$101.B$103.B36.B2$2B28.B.2B11.CB13.3B.2B7.B3.B12.3B.2B15.B
C7.B.B.2B7.B16.3B.2B$B.B7.A19.B.B.B9.BC16.B.B.B25.B.B.B15.C7.B.B.B.B
5.AC16.B3.B.B$3B3.B2.2CB18.B.3B9.AC14.3B.3B6.C.A.C12.3B.3B6.A8.2C6.3B
.3B4.C3.A14.3B.3B$2.B7.A19.B3.B9.A2.C12.B5.B5.BA3.AB13.B3.B4.B2.C7.2C
8.B3.B3.BC3.A3.C12.B3.B$3B27.B.3B11.B13.3B.3B7.C.C13.3B.3B5.CA8.C9.B.
3B4.C3.A14.3B.3B$74.B.B24.B2.C6.BC19.AC$75.C27.A29.B2$140.B$112.CA$
55.C55.BC48.C$B.3B6.3A16.3B.3B18.B4.3B.3B3.2CBC16.B.B.3B14.C2A36.3B.
3B4.C.C$B.B.B5.CB20.B.B.B17.AC6.B.B.B2.B3.CB15.B.B.B.B7.A31.B13.B3.B.
B5.B$B.B.B6.CA17.3B.B.B18.B4.3B.B.B5.ACB15.3B.B.B6.A.A44.3B.B.B$B.B.B
25.B3.B.B17.AC6.B.B.B5.A19.B.B.B5.B2C45.B.B.B.B7.BC2A$B.3B25.3B.3B15.
B2.C4.3B.3B25.B.3B6.A2.A5.2A37.2B.3B8.C2.A$54.C51.B5.2A52.3CB$133.AC
7.B24.B$134.CB6.A.C$121.3B.3B5.2AC6.C$121.B3.B.B6.A10.C$40.B30.B49.3B
.B.B15.C.A$B.B6.C20.3B.B5.C19.3B.B5.AC18.B.B.B28.B.B.B17.B$B.B5.B.A
21.B.B4.B2A3.B16.B.B4.C20.B.B.B26.3B.3B5.2A$B.B5.2C20.3B.B4.CA19.3B.B
3.BCA19.3B.B6.B31.2A$B.B5.2A20.B3.B4.A22.B.B4.C22.B.B8.A$B.B27.3B.B
25.3B.B5.AC20.B.B11.B$71.B31.C.A$103.2CA$102.C.CB$121.3B.B$121.B3.B$
121.3B.B$123.B.B$121.3B.B!

(Collection last updated 8-29-2015)
This rule is fun.
Last edited by BlinkerSpawn on August 29th, 2015, 9:05 am, edited 7 times in total.
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Re: R-pentomino neutronium

Postby BlinkerSpawn » June 19th, 2015, 7:35 am

Also, a reflector with repeat time 48 (even though the Snark works flawlessly at 43 ticks):
x = 34, y = 22, rule = DoubleN
.A$2.A$3A10$13.A$14.A7.B$12.3A$18.B14.B$9.B7.C5.B2$31.B$26.B$11.B$15.
2B2.B!

Edited: And a tiny p88 Herschel factory hooked up to a smaller H-to-G:
x = 35, y = 11, rule = DoubleN
34.B$23.B3$3.B$2.C2.B$.C31.B$B2C18.A$.C2.A2.2A.A10.A.A$3.3A.2A2.A9.3A
$3.B2A2.A2.A11.A!
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Re: R-pentomino neutronium

Postby BlinkerSpawn » July 24th, 2015, 1:06 am

Sorry for the triple post, but DoubleN is onniperiodic thanks to a new 39-tick reflector.
x = 22, y = 21, rule = DoubleN
19.A.A$19.2A$20.A7$.C8.A$2.B6.A$4.B4.3A$6.B4$B2$6.B$4.ACB$3.BCA!
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Re: R-pentomino neutronium

Postby A for awesome » July 24th, 2015, 10:43 am

G-to-more-accessible-pi (with attached pi track) with an abysmal repeat time of 132:
x = 56, y = 39, rule = DoubleN
53.A.A$53.2A$54.A6$3.B3$B5.B3$B8.B3$3.B8.B3$6.B8.B3$9.B3$19.B$10.B9.B
3$21.B$17.B2$16.B3.A.A$20.2A$21.A$22.B$20.ACB$15.B3.BCA!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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