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

For discussion of other cellular automata.

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

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

Table file:
`n_states:3neighborhood:Mooresymmetries:permutevar 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,01,0,0,0,0,a,b,c,d,01,0,0,0,0,0,0,c,d,01,0,0,0,0,0,0,0,0,02,s,t,a,b,c,d,e,f,02,0,0,0,0,s,t,u,v,00,1,1,1,0,0,0,0,0,20,2,2,0,0,0,0,0,0,11,s,t,u,v,w,x,y,z,22,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:

`#CXRLE Pos=-15,-8x = 6, y = 7, rule = jelly2A2.2A2\$2.2A3\$A4.A\$A.2A.A!`

And this rarer variant:

`#CXRLE Pos=-21,-19x = 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:

`#CXRLE Pos=-15,-8x = 6, y = 7, rule = jelly2A2.2A2\$2.2A3\$A4.A\$A.2A.A!`

Another interesting feature is this replicator:

`x = 1, y = 8, rule = jellyA\$A5\$A\$A!`

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

`#CXRLE Pos=-30,-11x = 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:
`x = 27, y = 72, rule = Jelly4.2B4.2B7.2B4.2B7\$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

Posts: 37
Joined: April 10th, 2013, 9:43 pm

### Re: Jelly [B3/S135 <--> B2/S5]

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

`#CXRLE Pos=-112,1x = 170, y = 9, rule = jellyA167.A\$.A155.A11.A\$157.A5\$157.A\$157.A!`

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

Posts: 37
Joined: April 10th, 2013, 9:43 pm

### Re: Jelly [B3/S135 <--> B2/S5]

`#CXRLE Pos=-23,-15x = 80, y = 19, rule = Jelly26.2A2.2A\$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.A4.A4.A4.A4.A4.A6.A31.2A\$A2.A2.A2.A2.A.A2.A.A2.A.A2.A.A2.A.A2.2A2.2A31.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
Pteriforever

Posts: 37
Joined: April 10th, 2013, 9:43 pm

### Re: Jelly [B3/S135 <--> B2/S5]

Sorry to resurrect an old thread, but why does the rule work in the viewer?
woomy on a vroomy
googoIpIex

Posts: 253
Joined: February 28th, 2019, 4:49 pm
Location: Sqrt(-1)

### Re: Jelly [B3/S135 <--> B2/S5]

googoIpIex wrote: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.

rowett
Moderator

Posts: 1366
Joined: January 31st, 2013, 2:34 am
Location: UK

### Re: Jelly [B3/S135 <--> B2/S5]

How does it know it its an alias?
woomy on a vroomy
googoIpIex

Posts: 253
Joined: February 28th, 2019, 4:49 pm
Location: Sqrt(-1)

### Re: Jelly [B3/S135 <--> B2/S5]

googoIpIex wrote:How does it know it its an alias?

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

rowett
Moderator

Posts: 1366
Joined: January 31st, 2013, 2:34 am
Location: UK

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