Extended life plus

praosylen · Post by **praosylen** » October 6th, 2014, 6:25 pm

Hello again! I made a version of ExtendedLife where the extra states can be created and destroyed. Here it is:

@RULE ExtendedLife+
@TABLE
n_states:7
neighborhood:Moore
symmetries:permute
var a={1,2,5}
var aa={a}
var ab={a}
var ac={a}
var ad={a}
var ae={a}
var af={a}
var ag={a}
var b={0,3,4,6}
var ba={b}
var bb={b}
var bc={b}
var bd={b}
var be={b}
var bf={b}
var bg={b}
var c={0,1,2,3,4,5,6}
var ca={c}
var cb={c}
var cc={c}
var cd={c}
var ce={c}
var cf={c}
var d={4,6}
var e={0,6}
e,a,aa,ab,b,ba,bb,bc,bd,1
1,c,b,ba,bb,bc,bd,be,bf,0
1,a,aa,ab,ac,c,ca,cb,cc,0
e,2,c,ca,cb,cc,cd,ce,cf,1
e,3,c,ca,cb,cc,cd,ce,cf,0
0,a,aa,ab,ac,ad,ae,af,ag,6
6,a,aa,ab,ac,ad,ae,af,ag,2
6,a,aa,ab,ac,ad,ae,af,b,3
2,a,aa,ab,ac,ad,ae,af,b,0
3,a,aa,ab,ac,ad,ae,c,ca,0
6,a,aa,ab,ac,ad,ae,b,0,5
5,a,aa,ab,ac,ad,ae,c,ca,0
6,a,aa,ab,ac,ad,ae,c,d,4
4,a,aa,ab,ac,ad,ae,c,ca,0
@COLORS
0 255 255 255
1 0 0 0
2 255 0 0
3 0 0 255
4 0 255 0
5 255 255 0
6 128 128 128

Incidentally, in this rule, a single state 2 cell is a 3000+ generation methuselah. However, so far this rule does not seem to be exploding.

c0b0p0 · Post by **c0b0p0** » October 6th, 2014, 10:28 pm

I can see you've made quite an effort to avoid the "classic" ExtendedLife methuselahs, such as the ones below.

Code: Select all

x = 2, y = 1, rule = ExtendedLife+
BE!

Code: Select all

x = 4, y = 2, rule = ExtendedLife+
B$3.E!

In ExtendedLife, the former has a lifespan of about 19.5 million generations. The latter has a lifespan > 10^8 generations.
Your rule replaces those with symmetric 2-cell exploders such as the one below, which mostly have a dynamic of growth around the edges of the pattern, with the center of the pattern filled mostly with state 1 junk, lone state 3 cells, and state 6 cells.

Code: Select all

x = 1, y = 5, rule = ExtendedLife+
E4$B!

praosylen · Post by **praosylen** » October 7th, 2014, 9:07 am

A for awesome wrote: However, so far this rule does not seem to be exploding.

I take back that last remark. After watching some patterns quite easily evolving through 30,000 generations, I now believe that this rule is probably exploding in character, but still right on the edge.

unname66609 · Post by **unname66609** » December 22nd, 2014, 11:14 pm

here is “extendedlife-B36S23.rule” file

Code: Select all

@RULE extendedlife-B36S23

@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, 6
# 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
0,i,j,k,L,m,n,q,r,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

praosylen · Post by **praosylen** » December 23rd, 2014, 10:26 am

unname66609 wrote:here is “extendedlife-B36S23.rule” file
Code: Select all
rule table

Nice rule! Here's a 10-cell p500 oscillator:

Code: Select all

x = 8, y = 3, rule = extendedlife-B36S23
.A4.A$A.A2BA.A$.A4.A!

3-cell pattern lasts 66742 generations:

Code: Select all

x = 2, y = 3, rule = extendedlife-B36S23
.F$.F$F!

Edit: 4-cell precursor to a p114 gun:

Code: Select all

x = 14, y = 10, rule = extendedlife-B36S23
5.C8$C$11.B.C!

unname66609 · Post by **unname66609** » December 23rd, 2014, 10:47 pm

unname66609 wrote:here is “extendedlife-B36S23.rule” file

Code: Select all

@RULE extendedlife-B36S23

@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, 6
# 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
0,i,j,k,L,m,n,q,r,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

Here's a P24:

Code: Select all

x = 12, y = 3, rule = extendedLife-B36S23
7.2A$6.2A.A$E6.2A2.E!

c0b0p0 · Post by **c0b0p0** » December 24th, 2014, 8:55 pm

unname66609 wrote:here is “extendedlife-B36S23.rule” file

Here is ExtendedHighLife+. It seems not to be explosive (although there are some very long-lived methuselahs, like the one below).

Code: Select all

x = 5, y = 6, rule = ExtendedHighLife+
C2$3.B$3.DC$3.CD$4.B!

Code: Select all

@RULE ExtendedHighLife+
@TABLE
n_states:7
neighborhood:Moore
symmetries:permute
var a={1,2,5}
var aa={a}
var ab={a}
var ac={a}
var ad={a}
var ae={a}
var af={a}
var ag={a}
var b={0,3,4,6}
var ba={b}
var bb={b}
var bc={b}
var bd={b}
var be={b}
var bf={b}
var bg={b}
var c={0,1,2,3,4,5,6}
var ca={c}
var cb={c}
var cc={c}
var cd={c}
var ce={c}
var cf={c}
var d={4,6}
var e={0,6}
e,a,aa,ab,b,ba,bb,bc,bd,1
e,a,aa,ab,ac,ad,ae,bc,bd,1
1,c,b,ba,bb,bc,bd,be,bf,0
1,a,aa,ab,ac,c,ca,cb,cc,0
e,2,c,ca,cb,cc,cd,ce,cf,1
e,3,c,ca,cb,cc,cd,ce,cf,0
0,a,aa,ab,ac,ad,ae,af,ag,6
6,a,aa,ab,ac,ad,ae,af,ag,2
6,a,aa,ab,ac,ad,ae,af,b,3
2,a,aa,ab,ac,ad,ae,af,b,0
3,a,aa,ab,ac,ad,ae,c,ca,0
6,a,aa,ab,ac,ad,ae,b,0,5
5,a,aa,ab,ac,ad,ae,c,ca,0
6,a,aa,ab,ac,ad,ae,c,d,4
4,a,aa,ab,ac,ad,ae,c,ca,0
@COLORS
0 255 255 255
1 0 0 0
2 255 0 0
3 0 0 255
4 0 255 0
5 255 255 0
6 128 128 128

Here is ExtendedB35S23+. Although it is stable, oscillators are plentiful.

Code: Select all

@RULE ExtendedB35S23+
@TABLE
n_states:7
neighborhood:Moore
symmetries:permute
var a={1,2,5}
var aa={a}
var ab={a}
var ac={a}
var ad={a}
var ae={a}
var af={a}
var ag={a}
var b={0,3,4,6}
var ba={b}
var bb={b}
var bc={b}
var bd={b}
var be={b}
var bf={b}
var bg={b}
var c={0,1,2,3,4,5,6}
var ca={c}
var cb={c}
var cc={c}
var cd={c}
var ce={c}
var cf={c}
var d={4,6}
var e={0,6}
e,a,aa,ab,b,ba,bb,bc,bd,1
e,a,aa,ab,ac,ad,bb,bc,bd,1
1,c,b,ba,bb,bc,bd,be,bf,0
1,a,aa,ab,ac,c,ca,cb,cc,0
e,2,c,ca,cb,cc,cd,ce,cf,1
e,3,c,ca,cb,cc,cd,ce,cf,0
0,a,aa,ab,ac,ad,ae,af,ag,6
6,a,aa,ab,ac,ad,ae,af,ag,2
6,a,aa,ab,ac,ad,ae,af,b,3
2,a,aa,ab,ac,ad,ae,af,b,0
3,a,aa,ab,ac,ad,ae,c,ca,0
6,a,aa,ab,ac,ad,ae,b,0,5
5,a,aa,ab,ac,ad,ae,c,ca,0
6,a,aa,ab,ac,ad,ae,c,d,4
4,a,aa,ab,ac,ad,ae,c,ca,0
@COLORS
0 255 255 255
1 0 0 0
2 255 0 0
3 0 0 255
4 0 255 0
5 255 255 0
6 128 128 128

Code: Select all

x = 39, y = 17, rule = ExtendedB35S23+
.A16.A$2A.C14.2AC$.A16.A11$19.A$19.A.B13.A$3.B15.A15.A2.B$35.A!

knightlife · Post by **knightlife** » December 24th, 2014, 10:41 pm

domino components make good oscillators:
p9324 osc:

Code: Select all

x = 11, y = 19, rule = extendedlife-B36S23
2D3$2D3$2D3$2D7.2D3$2D3$2D3$2D!

3-cell p432:

Code: Select all

x = 12, y = 1, rule = extendedlife-B36S23
C5.B4.C!

p163 2-barrel gun:

Code: Select all

x = 15, y = 3, rule = extendedlife-B36S23
C$.2C6.B4.C$C!

p224 4-barrel gun:

Code: Select all

x = 5, y = 3, rule = extendedlife-B36S23
2.3F$B.C.F$2.3F!

2-cell mess makes replicator based growing spaceship around gen 20,000:

Code: Select all

x = 11, y = 1, rule = extendedlife-B36S23
B9.C!

It stabilizes at around half a million gen with a p8 osc in the center.

EDIT:
3-cell p1226 has a much longer period:

Code: Select all

x = 13, y = 1, rule = extendedlife-B36S23
C5.B5.C!

3-cell p1589:

Code: Select all

x = 14, y = 1, rule = extendedlife-B36S23
C5.B6.C!

unname66609 · Post by **unname66609** » December 25th, 2014, 3:14 am

knightlife wrote:domino components make good oscillators:
p9324 osc:
Code: Select all
x = 11, y = 19, rule = extendedlife-B36S23
2D3$2D3$2D3$2D7.2D3$2D3$2D3$2D!
3-cell p432:
Code: Select all
x = 12, y = 1, rule = extendedlife-B36S23
C5.B4.C!
p163 2-barrel gun:
Code: Select all
x = 15, y = 3, rule = extendedlife-B36S23
C$.2C6.B4.C$C!
p224 4-barrel gun:
Code: Select all
x = 5, y = 3, rule = extendedlife-B36S23
2.3F$B.C.F$2.3F!
2-cell mess makes replicator based growing spaceship around gen 20,000:
Code: Select all
x = 11, y = 1, rule = extendedlife-B36S23
B9.C!
It stabilizes at around half a million gen with a p8 osc in the center.

EDIT:
3-cell p1226 has a much longer period:
Code: Select all
x = 13, y = 1, rule = extendedlife-B36S23
C5.B5.C!
3-cell p1589:
Code: Select all
x = 14, y = 1, rule = extendedlife-B36S23
C5.B6.C!

What is "pulse divider"?

Post by **dvgrn** » December 26th, 2014, 1:15 pm

unname66609 wrote:What is "pulse divider"?

Where did that phrase appear? It doesn't seem to be anywhere else in this thread. A pulse divider is a piece of circuitry that produces one output signal for every two input signals that it accepts. It can be used as an x2 period multiplier, but in general a pulse divider doesn't require period-N input -- the timing might be more irregular. (A period multiplier accepts period-N input and produces period-kN output, pretty much by definition.)

Here's an old and somewhat out-of-date reference to B3/S23 pulse dividers. Nowadays we have Guam's semi-Snark and various other P1 mechanisms available. No doubt there are ways to build similar mechanisms in these Extended Life rules.

unname66609 · Post by **unname66609** » December 26th, 2014, 9:09 pm

Public links:
http://conwaylife.com/forums/viewtopic.php?f=11&t=597
Extended Life

danieldb · Post by **danieldb** » October 7th, 2015, 5:48 pm

Code: Select all

x = 9, y = 4, rule = ExtendedLife+
A2.A$4.A$A3.A3.C$.4A!

LWSS-to-G

ConwayLife.com

Extended life plus

Extended life plus

Re: Extended life plus

Re: Extended life plus

Extended life (B36/S23)

Re: Extended life (B36/S23)

Re: Extended life (B36/S23)

Re: Extended life plus

Re: Extended life plus

Re: Extended life (B36/S23)

Re: Extended life (B36/S23)

Re: Extended life plus

Re: Extended life plus