A pattern in Duality with unusual growth

[Jackk]

I accidentally discovered a rake pattern that fires c ships, outputting one slower and slower:

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x = 19, y = 22, rule = duality
3.A$4.B$.A2.B$2.B$A15.A$17.B$15.A2.B$16.B.B3$16.B.B$16.B.B3$16.B.B$
15.A2.B$17.B$A15.A$2.B$.A2.B$4.B$3.A!

Can anyone work out how the population grows over time? I would be very interested in finding out.

[lukebradford]

Can you post the rule table?

[flipper77]

Can you post the rule table?

Here is the rule table updated from old format:

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@RULE Duality

@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b={0,1,2}
var c={0,1,2}
var d={0,1,2}
var e={0,1,2}
var f={0,1,2}
var g={0,1,2}
var h={0,1,2}

# Birth
0,1,1,1,0,0,0,0,0,1
0,2,2,0,0,0,0,0,0,2
0,2,1,0,0,0,0,0,0,1

# Survival
1,1,1,0,0,0,0,0,0,1
1,1,1,1,0,0,0,0,0,1

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

[Kiran]

I cannot get that pattern to copy properly.
By the way, a simple "tame" breeder.

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x = 4, y = 7, rule = Duality
.2B$A2.A2$.2A$.2A$A2.A$A!

[wildmyron]

I cannot get that pattern to copy properly.

That's probably due to the difference in case within the rule name. Try changing the rule in the pattern to "Duality" in place of "duality" before pasting in to Golly.

[Kiran]

Thanks, it worked.
The rate appears to be logarithmic but I did not examine it in depth.

[BlinkerSpawn]

This puffer is pretty unusual:

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x = 24, y = 37, rule = Duality
7.2B5.2B$6.A2.A3.A2.A2$7.2A5.2A$7.2A5.2A$6.A2.A3.A2.A$6.A2.A3.A2.A$5.
2A2.2A.2A2.2A$6.5A.5A$7.2A.A.A.2A$9.2A.2A$4.2A11.2A3$6.2A7.2A$5.A11.A
2$4.A13.A$5.A2.A5.A2.A$6.A9.A4$9.2A.2A$3.2B4.2A.2A$2.A2.A13.2B$18.A2.
A$3.2A$3.2A14.2A$2.A2.A13.2A$2.A2.A12.A2.A$.2A2.2A11.A2.A$2.5A10.2A2.
2A$3.2A.A10.5A$5.2A10.A.2A$2A15.2A$22.2A!