Jelly [B3/S135 <--> B2/S5]

[Pteriforever]

I came up with this rule which uses two simpler lifelike rules, alternating between them each generation.

Table file:

Code: Select all

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 s={0,1,2}
var t={0,1,2}
var u={0,1,2}
var v={0,1,2}
var w={0,1,2}
var x={0,1,2}
var y={0,1,2}
var z={0,1,2}
1,s,t,a,b,c,d,e,f,0
1,0,0,0,0,a,b,c,d,0
1,0,0,0,0,0,0,c,d,0
1,0,0,0,0,0,0,0,0,0
2,s,t,a,b,c,d,e,f,0
2,0,0,0,0,s,t,u,v,0
0,1,1,1,0,0,0,0,0,2
0,2,2,0,0,0,0,0,0,1
1,s,t,u,v,w,x,y,z,2
2,s,t,u,v,w,x,y,z,1

Random patterns tend to become dominated by simple p4 oscillators. There is an extremely common c/2 p4 spaceship:

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#CXRLE Pos=-15,-8
x = 6, y = 7, rule = jelly
2A2.2A2$2.2A3$A4.A$A.2A.A!

And this rarer variant:

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#CXRLE Pos=-21,-19
x = 5, y = 4, rule = jelly
.A.A$A3.A2$A.A!

Of particular interest is this c/2 p22 ship which shows up rarely. It can form a variety of puffers:

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#CXRLE Pos=-15,-8
x = 6, y = 7, rule = jelly
2A2.2A2$2.2A3$A4.A$A.2A.A!

Another interesting feature is this replicator:

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x = 1, y = 8, rule = jelly
A$A5$A$A!

Which duplicates itself 4 cells in 14 gens. It can be stabilised into a p28 oscillator:

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#CXRLE Pos=-30,-11
x = 20, y = 10, rule = jelly
.A17.A$A11.A5.A$12.A5$12.A$A11.A5.A$.A17.A!

Two copies of it are used in this, a 2c/7 spaceship:

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x = 27, y = 72, rule = Jelly
4.2B4.2B7.2B4.2B7$17.3B$3.B8.B5.2B$3.B8.B4.2B$3.B.B.2B.B.B4.B3.B3.2B$
3.B8.B3.B4.B$3.B8.B4.B4.B8$4.2B4.2B24$4.B$3.B3$11.B3.B$12.B.B13$4.B.
3B$2.B3.4B$.B6.B.B$.2B.2B$B2.B2$10.B$10.B.B$8.B.2B$9.B!

So yeah.

[Pteriforever]

Among the many stabilisations of the replicator, most of which are high-period oscillators, I found a gun:

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#CXRLE Pos=-112,1
x = 170, y = 9, rule = jelly
A167.A$.A155.A11.A$157.A5$157.A$157.A!

It's p812 (406x2) and produces four basic spaceships per period.

[Pteriforever]

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#CXRLE Pos=-23,-15
x = 80, y = 19, rule = Jelly
26.2A2.2A$25.A6.A$10.A6.A2.A$12.A2.A4.A4.A6.A$9.A2.A2.A2.A2.A.A2.2A2.
2A$12.A2.A41.2A$10.A6.A38.A2.A$55.A3.A$54.A3.A$54.A2.A13.A.A$37.2A2.
2A12.2A16.A$36.A6.A28.A4.A$.A6.A2.A4.A4.A4.A4.A24.A.A16.2A$3.A2.A4.A
4.A4.A4.A4.A4.A6.A31.2A$A2.A2.A2.A2.A.A2.A.A2.A.A2.A.A2.A.A2.2A2.2A
31.A$3.A2.A51.A19.2A$.A6.A47.2A19.A$56.2A21.A$55.A!

Left: p4. Probably the first extensible p4 oscillator for this rule.

Center: p4. Obo being bounced between two smaller p4s. I like to call them "rectangle waves" but you could call them long ships if you like.

Right: p18. YAY, new period that isn't a multiple of 28! <3

[googoIpIex]

Sorry to resurrect an old thread, but why does the rule work in the viewer?

[rowett]

Sorry to resurrect an old thread, but why does the rule work in the viewer?

Because a) LifeViewer supports Alternating Rules and b) it knows that Jelly is an alias for B3/S135|B2/S5.

[googoIpIex]

How does it know it its an alias?

[rowett]

How does it know it its an alias?

LifeViewer has a list of aliases. To see them click on: Help -> Aliases

[muzik]

As the posted 2c/7 (actually 5c/14) spaceship was provided in the state 2 phase here it is in state 1 as to work in the viewer:

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x = 27, y = 73, rule = Jelly
4.2A4.2A7.2A4.2A2$4.2A4.2A7.2A4.2A5$17.A.A$20.A$2.A.A6.A.A2.A3.A$6.4A
6.A3.A4.2A$6.A2.A10.A.A$6.4A8.A.A4.2A$2.A.A6.A.A2.A4.A7$4.2A4.2A2$4.
2A4.2A23$3.A$4.A3$12.3A$11.A.A.A$13.A11$5.2A.A$3.A3.A$.A.A4.A.A$A3.A$
9.A$5.A2$9.A2$12.A$8.A2.A!