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Extended Life

For discussion of other cellular automata.

Re: Extended Life

Postby skomick » August 1st, 2012, 6:15 pm

Found a compact AK47 (p94 glider gun)
x = 24, y = 25, rule = extendedlife
E7.A7.2A$8.3A5.2A$11.A$10.2A3$12.A8.3E$11.A.A9.F$11.A.A3.2A4.E$12.2A
8.2E$18.2A$18.A4$2E$E$F$3E3$12.2A$12.A10.A$6.2A5.3A5.A.A$6.2A7.A6.2A!
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Re: Extended Life

Postby knightlife » August 5th, 2012, 3:54 am

More compact:
x = 20, y = 25, rule = extendedlife
6.A7.2A$6.3A5.2A$E8.A$8.2A5$9.5A5.E$12.2A$9.2A3.A$13.2A$13.A$12.A$.A$
2.2A$E3$18.A$19.A$10.2A5.3A$10.A$4.2A5.3A$4.2A7.A!
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Re: Extended Life

Postby Monocot » August 5th, 2012, 9:33 am

Another tad more compact. And with perma-on-cells as glider eaters - I find perma-on-cell-eaters quite counterintuitive, therefore I like them:

x = 20, y = 25, rule = extendedlife
14.2A$14.2A$8.FA$8.2A$4.F4$19.E5$8.A$7.A.A$6.A3.A$E5.A3.A$6.A3.A$7.A.
A$8.A$15.F$10.2A$10.AF$4.2A$4.2A!


And a small 4-barreled p44 glider gun:
x = 6, y = 3, rule = extendedlife
.4F$F4.F$.4F!
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Re: Extended Life

Postby knightlife » August 5th, 2012, 2:18 pm

Monocot wrote:
And a small 4-barreled p44 glider gun:
x = 6, y = 3, rule = extendedlife
.4F$F4.F$.4F!


The glider streams are p41.
This is perhaps the most compact 4-barreled glider gun so far, using just 10 cells.
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Re: Extended Life

Postby Extrementhusiast » August 5th, 2012, 2:38 pm

knightlife wrote:This is perhaps the most compact 4-barreled glider gun so far, using just 10 cells.

I can make it nine:
x = 6, y = 6, rule = extendedlife
2.A$.A3.A$A.B$4.A$3.A$.A3.C!

You can hardly tell it's four-barreled, though.
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Re: Extended Life

Postby knightlife » August 5th, 2012, 3:08 pm

Just found this 8-barreled p18 gun:
x = 3, y = 3, rule = extendedlife
B.B2$B.B!
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Re: Extended Life

Postby Extrementhusiast » August 5th, 2012, 3:28 pm

That was mentioned earlier.
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Re: Extended Life

Postby knightlife » August 6th, 2012, 5:12 am

Extrementhusiast wrote:That was mentioned earlier.


Sorry, I didn't remember it from a year ago. It could be reduced to 4-barrel, requiring eight cells to start. But that is not very satisfying, for sure.
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Re: Extended Life

Postby knightlife » August 11th, 2012, 10:38 pm

This 16-barrel p3671 gun starts from just 5 cells:
x = 13, y = 13, rule = extendedlife
6.B6$B5.B5.B6$6.B!
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Re: Extended Life

Postby skomick » August 31st, 2012, 12:02 am

I was playing around with stabilizing wicks using Extended Life and came across a p72 oscillator which, when perturbed, can be made into a p72 herschel factory. Here, I've added a h -> g to make a glider gun:
x = 45, y = 29, rule = extendedlife
2.E3.4E.14E.4E3.E$16.4A14.2A$2A12.2A18.3A$2A12.A17.EA2.A$14.A5.A12.A.
2A$15.A3.2A13.2A$6.4E.14E.4EA$29.2A$29.A.A11$42.E3$36.E3$38.A$38.A5.A
$42.A.A$43.2A!

Another way to make a gun:
x = 72, y = 35, rule = extendedlife
18.3A$20.A$19.A4$24.2A3.A3.4E.14E.4E3.E$13.A.2A6.2A.2A.A13.3A16.A$12.
A2.2A2.3A.2A.A2.A12.A2.2A14.2A$12.A6.2A2.2A.2A13.2A2.2A12.EA2.A$12.2A
4.2A3.3A.A14.3A.2A12.A.A$14.A7.2A2.3A14.4A14.2A$16.2A5.A9.4E.14E.4E$
2A54.3A$2A54.A$57.A2$29.2F3$4.2A$4.2A4$69.E3$63.E3$64.A$65.2A2.A.A$
70.2A$70.A!
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Re: Extended Life

Postby skomick » February 22nd, 2013, 6:30 pm

Just for fun, here's an Extended Life version of a p154 loafer gun. p154 is the smallest period possible for this glider synthesis.
x = 78, y = 69, rule = extendedlife
69.E$64.C2$65.3A2.C$65.ABA$65.3A$62.C.A$63.A.4A$63.E4.A$63.A.A2.A$62.
A2.3A$63.A$59.A8.C$58.A2$63.A10.C$54.A7.2A13.E$52.A.A5.A.A2.C4.2A.A.
2A$51.EA2.A2.2A9.A6.A$46.C7.A3.2A.AE6.A3.B$47.3A7.A.2AF7.A4.A$46.A3.A
.C3.3A2E.E7.A5.C$48.B7.3A2.E7.E3.2A$71.C$38.E2F3.C.A3.A$40.E6.3A13.E$
35.E.A7.E$33.2FEA.A$37.2A2.2AE$34.C6.2AE$50.C2$19.E$9.E14.C$14.C$18.C
2.4A$8.C2.4A6.AB3A$11.AB2A6.4A$11.3A12.C$12.2A2.C37.C$25.E20.3A3.E$
11.A3.E30.A8.3A.C$10.2A35.A7.A.2A$10.2A44.B.A$20.C33.2A.2A$10.C37.C7.
A$60.E$57.CE7$6.C3.A$8.E.A$.C2.4A.A$3.A.A.4A$2.A.B2.A2.2A$3.A.A.A2.A$
4.A.4A2.C34.C$E7.A36.EA.A$3.C41.5A2.C$44.A3.2A$43.2A.3ABA$44.8A.A$41.
C3.9A$50.3AE$50.C!
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Re: Extended Life

Postby Jackk » February 22nd, 2013, 7:25 pm

Just for fun, the loafer can also be destroyed with only one deathforcer (state 3):

x = 144, y = 69, rule = extendedlife
69.E$64.C$64.A.A$64.4A2.C$63.A.AB2A$64.4A$62.C2A.2A2$63.E2.A4$68.C3$
74.C$77.E$65.C6.3A$51.E19.A3.A$46.C3.A11.E8.A.B.A$48.A12.F9.5A$46.4A
2.C6.2E.E10.A2.C$46.A.B2.A9.E7.E$71.C$38.E2F3.C5.A$40.E22.E$35.E.A7.E
2.2A$33.2FEA.A$37.2A2.2AE$34.C6.2AE2.A$45.A4.C3.A$45.3A5.A$19.E33.3A$
9.E12.A.C$14.C6.2A$12.A5.C2.3A26.A$8.C2.3A7.ABA25.A$11.AB2A6.3A25.3A$
11.3A7.3A2.C2.A.A$12.A3.C4.3A5.2A23.C$22.A2.E4.A21.E$11.A3.E40.A2.C$
11.A.A40.4A$11.A2.A38.A2.B$12.2A6.C29.2A$10.C37.C.2A2.A3.A$60.E$57.CE
2$38.2A2.A17.2A2.A17.2A2.A17.2A2.A17.2A2.A$37.3A3.A15.3A3.A15.3A3.A
15.3A3.A15.3A3.A$36.A6.A14.A6.A14.A6.A14.A6.A14.A6.A$36.A5.A15.A5.A
15.A5.A15.A5.A15.A5.A$42.A21.A21.A21.A21.A$6.C27.A.A3.A15.A.A3.A15.A.
A3.A15.A.A3.A15.A.A3.A$3.2A3.E28.A21.A21.A21.A21.A$.C4.A28.A.2A18.A.
2A18.A.2A18.A.2A18.A.2A$7.A27.A2.A18.A2.A18.A2.A18.A2.A18.A2.A$2.A.B
2.A28.2A20.2A20.2A20.2A20.2A$2.A3.2A135.C$3.2A7.C34.C$E44.E$3.C48.C$
48.3A$48.ABA$48.3A$41.C$53.E$50.C!
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Re: Extended Life

Postby David » August 13th, 2013, 4:06 am

Finally, this pattern stablized.
x = 2, y = 1, rule = extendedlife
BF!

This results a small p3 osc.
x = 5, y = 11, rule = extendedlife
2.2A$.A.A$.A2$.A$A.BFA$.A2$.A$.A.A$2.2A!
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Re: Extended Life

Postby David » August 13th, 2013, 4:08 am

p20
x = 4, y = 6, rule = extendedlife
.A$A.2A$.BF2$3.A$A!
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Re: Extended Life

Postby David » August 13th, 2013, 4:14 am

p31 2b gun.
x = 7, y = 3, rule = extendedlife
.3A$A.BA2.F$.3A!
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Re: Extended Life

Postby Sphenocorona » October 7th, 2013, 10:51 pm

Here is a p18 glider gun featuring an ultra-fast Pre-B to G converter:
x = 12, y = 17, rule = extendedlife
7.C3$4.C2.2A.C$6.ABA2.C$4.C.3A2.C$4.C2.A3$8.A$6.2A$7.2A.C3$2.A.A$2.2A
$C2.A!


I know, bumping an old topic, but this rule does get mentioned occasionally, as it recently was.
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Re: Extended Life

Postby skomick » October 8th, 2013, 12:20 am

Well, in that case here's a small collection of guns I've discovered and created. These are from a list of literally hundreds:
If anyone would like more, let me know!
x = 358, y = 87, rule = extendedlife
2.3E80.2FC8.E.E76.A84.E.E4.E.E64.EA$E2A82.E6.E.2A.A.F62.E2.2A21.16E
53.E14.E59.E2A.A$A2.A4.E76.E7.A3.A.F60.E3.A.A12.E11.3A140.F$A.B5.A72.
E.E9.A70.A25.2A3.A10.E57.2E67.A2.E14.2F$EA4.A.A71.F12.A3.A.F60.E3.3A
22.2A2.A.A137.2A15.EFA.E$.E.B3.2A71.F3.3A7.2A.A.F77.E12.A5.A9.E45.E3.
2A14.2A3.E56.A17.2E3.C$2.E.C82.2A7.E.E64.15E2.A.A8.2A2.A8.E49.A.5A8.
5A.A$80.F3.3A5.A72.15E.2A12.A54.E3.2A4.A8.A4.2A3.E77.A$80.F12.A73.3A
9.E.A72.A.5A8.5A.A56.E17.2A3.A.A$81.E.E3.E3.3A68.E2A4.2A81.E3.2A14.2A
3.E55.E4.E10.A2.A3.2A$162.A4.2A2.A165.2AE10.2A.E$162.E8.A9.E5.A76.2E
70.A2.AE10.E$164.E.A3.A17.A83.A64.2A3.E2.E4.E$186.3A68.E15.A$260.E.E
4.E.E.3A3$341.2E3.C$339.EFA.E$330.A9.2F$4.C2.E4$6.A5.C$E4.A.A$4.A.B.A
4.A$5.A.A3.A.A$C5.A5.2A4$5.E2.C8$88.2FC9.E.E57.A$88.E6.E8.E59.3A$88.E
10.4AF60.4A4.2A$83.EAE12.A2.3A.E57.A3.A6.A2.E$81.EA3.A12.4AF60.2A2.A.
A6.A$81.AF4.A16.E60.2A3.A.A2.A.A$80.EA5.A12.E.E57.E11.A2.E2A$81.AF4.A
7.A64.F9.A$81.EA3.A9.A63.FE5.C2.A$83.EAE4.E3.3A70.F$6.E.C261.E.E4.E.E
$7.A259.E14.E$2.E2.A2.A$E4.A250.AE2.C2FC10.2E10.C2FC2.EA$6.B6.A242.A
36.A$7.A3.A.A238.E3.A9.2A14.2A9.A3.E$4.A2.A2.2E2A250.A.5A8.5A.A$5.A
244.E.3A3.3A3.2A4.A8.A4.2A3.3A3.3A.E$4.C.E257.A.5A8.5A.A$252.E3.A9.2A
14.2A9.A3.E$256.A36.A$256.AE2.C2FC10.2E10.C2FC2.EA$282.A$267.E15.A$
270.E.E4.E.E.3A16$2.4E$2.2A$EA2.A4.E$3.B5.A$EA5.A.A$.E2.B3.2A$3.E.C!


Edit:
Here's a few more:
The first one uses a spark to glider reaction i created, the next two make use of g to 2g reactions i created:
x = 78, y = 15, rule = extendedlife
2.2A34.2F23.C2FC4.C2FC$.A2.A33.2A$61.E14.E$8.C$8.F27.E6.C16.A$8.F$E7.
2E24.EA7.A$6.2E.FE19.FA3.A.A3.A.A22.E2.2AE5.C$2.A.A2.CFA.FE17.FA3.2A
5.2A25.A.A$E2.A3.2E22.E6.E.E20.E7.A7.A$3.A12.E18.E39.A.A$10.E57.2C6.
2A$13.A49.E.E6.E.E$2.2AE9.A$2.AF6.C.3A!
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Re: Extended Life

Postby Extrementhusiast » October 9th, 2013, 7:49 pm

p288 Herschel generator:
x = 20, y = 16, rule = extendedlife
13.C4$14.C$2.A$2.A$3A15.BD$A7$19.C!
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Re: Extended Life

Postby Jackk » October 10th, 2013, 11:30 am

Same period (p288) gun from 8 cells that uses same mechanism as Gosper Glider Gun:
x = 46, y = 12, rule = extendedlife
34.C2$11.C25.A$6.2A29.5A$8.A26.3ABADA$9.A27.5A$3.A.D.B.A$8.A23.2A11.E
$5.A.A23.A2.A$E11.2A18.2A$11.A2.A$12.2A!
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Re: Extended Life

Postby unname66609 » December 25th, 2014, 10:58 pm

Very nano reflector:
x = 7, y = 4, rule = extendedlife
6.E$3A2.CF$2.A$.A!
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Re: Extended Life

Postby unname66609 » December 25th, 2014, 11:07 pm

unname66609 wrote:Very nano reflector:
x = 7, y = 4, rule = extendedlife
6.E$3A2.CF$2.A$.A!

It's repeat time is 48:
x = 19, y = 16, rule = extendedlife
18.E$12.3A2.CF$14.A$13.A10$3A$2.A$.A!
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Re: Extended Life

Postby unname66609 » December 27th, 2014, 9:10 pm

Hello again.
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Re: Extended Life

Postby A for awesome » February 2nd, 2016, 9:01 pm

A small p46 gun that is, ironically, smaller than any p46 pattern in normal Life, despite the simplicity of Life p46 technology:
x = 8, y = 7, rule = Extendedlife
.A3.F$F.A.A$EAFE3FA$E2.2A2.A3$5.E!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

http://conwaylife.com/wiki/A_for_all

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Re: Extended Life

Postby BlinkerSpawn » February 2nd, 2016, 10:27 pm

Rather narrow and interesting p52 gun:
x = 26, y = 7, rule = extendedlife
6.E4.E2.E4.E$4.E9.3A4.E$C2.2A4.A4.A.A8.C$2.A2.A4.2A2.3A$2.A2.A5.E2.E$
3.A.A$6.E.E8.E.E!
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Re: Extended Life

Postby drc » February 2nd, 2016, 11:08 pm

26888 gens:

x = 3, y = 2, rule = extendedlife
B.A$.2A!


31918 gens:

x = 5, y = 2, rule = extendedlife
B2.A$3.2A!


41556 gens:

x = 3, y = 1, rule = extendedlife
B.F!


49225 gens:

x = 7, y = 2, rule = extendedlife
B$6.D!


72940 gens:

x = 2, y = 2, rule = extendedlife
B$2A!


Gun:

x = 4, y = 4, rule = extendedlife
B3$3.C!


Sorry if anything was already posted
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