Extended Life

For discussion of other cellular automata.
Bullet51
Posts: 541
Joined: July 21st, 2014, 4:35 am

Re: Extended Life

Post by Bullet51 » February 3rd, 2016, 1:06 am

2c/3 signal:

Code: Select all

x = 108, y = 128, rule = extendedlife
2.99C$.C5.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E
3.E3.E3.E3.EC4.2C$.C2.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F
3.F3.F3.F3.F3.F3.F3.F3.F3.FC5.C$4.E102.C$4.F3.F3.F3.F3.F3.F3.F3.F3.F
3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F2.FEF.C$7.E3.E3.E3.E
3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E2C5.C$2.C
2.97C5.C$2CF.FC95.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F
.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.
EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC
94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$
C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C
$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.
C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C
94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$C
E3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F
.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C
94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.
C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.
F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE
3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC
94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$
C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C
$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.
C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C
94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$C
E3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F
.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C
94.C5.C$C5.C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.
C94.C5.C$C.F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.
F.F.C94.CE3.EC$CE3.EC94.C.F.F.C$C5.C94.C5.C$C5.C94.C5.C$C.F.F.C94.CE
3.EC$CE3.EC95.CF.F2C$C5.97C2.C$C5.2CE3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.
E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E$C.FEF2.F3.F3.F3.F3.F3.F3.F3.F3.
F3.F3.F3.F3.F3AF3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F$C58.2A42.E$C5.CF3.F
3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3AF3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F3.F
2.C$.2C4.CE3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E
3.E3.E3.E3.E5.C$7.99C!
Signal repeat time 12. 90° turn repeat time 15.
Still drifting.

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drc
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Re: Extended Life

Post by drc » February 3rd, 2016, 8:47 am

Bullet51 wrote:Signal repeat time 12.
I think it's six
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

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BlinkerSpawn
Posts: 1918
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Extended Life

Post by BlinkerSpawn » February 3rd, 2016, 6:27 pm

Oscillators exist for all periods 2 mod 8.

Code: Select all

x = 17, y = 11, rule = extendedlife
2.2F8.2F$4.A9.A2$5.C$.A.A7.A.A2.C$2.2A8.2A$C.A7.C.A2$2.2A$2.2F9.2A$
13.2F!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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A for awesome
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Re: Extended Life

Post by A for awesome » February 3rd, 2016, 6:58 pm

A still-smaller middleweight emulator-like oscillator:

Code: Select all

x = 5, y = 3, rule = extendedlife
.3A$2AB2A$A.E.A!
Also, a fumarole reduction:

Code: Select all

x = 8, y = 5, rule = extendedlife
3.2A$.A4.A$.A4.A$A.A2BA.A$.A.2E.A!
And a p3 sparker:

Code: Select all

x = 7, y = 5, rule = extendedlife
3.A2$A5.A$2.3B$2A3E2A!
A sort-of-sparker:

Code: Select all

x = 10, y = 6, rule = extendedlife
4.2A2$2.A4.A$A8.A$A2.4B2.A$.2A4E2A!
Another:

Code: Select all

x = 11, y = 7, rule = extendedlife
5.A$4.A.A2$2.A5.A$A9.A$A2.5B2.A$.2A5E2A!
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

Aidan F. Pierce

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BlinkerSpawn
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Re: Extended Life

Post by BlinkerSpawn » February 3rd, 2016, 10:21 pm

One of your p5 sparkers can be hassled at p34 by a perma-off, of all things:

Code: Select all

x = 10, y = 5, rule = extendedlife
3.E3A$.A6.A$.A6.A$A.A4BA.A$.A.4E.A!
EDIT:
drc wrote:I think [the repeat time of the signal] is 6.
The period of the signal is 6. The repeat time (also referred to as minimum following distance) is indeed 12.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Saka
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Location: In the kingdom of Sultan Hamengkubuwono X

Re: Extended Life

Post by Saka » February 4th, 2016, 4:08 am

Some stuff I found

Code: Select all

x = 88, y = 60, rule = extendedlife
28.C9.C6.C6.C9.C$41.C7.C2$37.2A13.2A$37.2A3.A5.A3.2A$41.A.A3.A.A$40.
2A.2A.2A.2A$41.A7.A$38.4A7.4A$38.4A2.A.A2.4A$37.ABA.A2.ABA2.A.ABA$37.
3A4.3A4.3A$37.AD2A.A.ADA.A.2ADA$37.4A.7A.4A$40.A.2A.A.2A.A$45.A15$2.
2A$.A2.A19.2A$56.C$23.A3.A9.2A15.A15.2A.C$6A33.AC12.A3.A11.A13.A$AB2A
BA6.4A6.A2.B2.C6.A2.BA.C11.A2.B2.C8.A2.B.A$2A2B2A6.A2BA21.3A13.A14.A.
A2.A9.D.A$2.2E8.E2.E7.A3.A6.2A.A.2A13.A3.A10.A2.A7.A4.A$35.A19.3A12.
2A8.A2.B.A.C$24.2A56.3A5$18.C3$8.3A43.F$3.A4.ADA$A2.F3.2AF2A$.B5.A.B.
A$A2.F5.F$3.A4.A.A$9.A$18.B16.B6.B2$18.D16.D6.D$54.B2$54.D!
The bottom row is for oscillators that jut sparks/stuff into the air
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

Bullet51
Posts: 541
Joined: July 21st, 2014, 4:35 am

Re: Extended Life

Post by Bullet51 » February 4th, 2016, 4:29 am

5c/9 signal:

Code: Select all

x = 7, y = 101, rule = extendedlife
C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$.AF.FA$.2A.
2A$C2.A2.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F
2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C
5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C3$2.F.F2$C5.C!
Still drifting.

Saka
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Location: In the kingdom of Sultan Hamengkubuwono X

Re: Extended Life

Post by Saka » February 4th, 2016, 4:35 am

p54

Code: Select all

x = 11, y = 11, rule = extendedlife
2.3A$.4A$2A2BA3.3A$2AB2A$4A$5.E3$2.A$2.A$2.A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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A for awesome
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Re: Extended Life

Post by A for awesome » February 4th, 2016, 10:00 pm

Related microreflector and shifter, each with repeat time 21:

Code: Select all

x = 41, y = 13, rule = extendedlife
8.C2.C20.C2.C$6.C2F2.FC17.C2F2.FC$2A$2A6.A23.A$7.2A22.2A$7.A.A21.A.A
2$24.2A$24.2A2$14.2A22.2A$14.A.A21.A.A$14.A23.A!
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

Aidan F. Pierce

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Extended Life

Post by Saka » February 5th, 2016, 7:09 am

Code: Select all

x = 139, y = 44, rule = extendedlife
3.C4$36.2AE$3.F32.ABA17.CF46.2A17.A$C2F11.C21.EAE17.F27.A2.A14.A4.A
13.A3.A$83.A17.A18.A$78.E4.A3.A13.A5.A12.A4.A7.C$42.2A17.2A20.4A14.6A
13.5A8.F2.2A$42.A.A16.A.A69.F.A2.A$5.2A35.A18.A71.C2.2A$5.A.A$5.A2$
36.2AE$36.ABA17.FC77.2A$36.EAF17.F76.CA2.A$135.2A2$42.2A18.2A69.CE$
42.A.A17.A.A68.F2.2A$42.A19.A70.F.A2.A$133.C2.2A4$133.CE$133.F2.2A$
133.F.A2.A$133.CE.2A7$135.E.C2$133.F2.2A$132.C2.A2.A$133.F2.2A2$135.E
.C!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Extended Life

Post by Saka » February 6th, 2016, 3:24 am

Code: Select all

x = 81, y = 40, rule = extendedlife
37.2A.2A$38.3F$37.A3FA$38.3F$37.2A.2A5$39.D$38.3D$37.D.D.D$36.D2.D2.D
$39.D$39.D$39.D$39.D14$47.A.A$33.A14.A$66.A$3.2A.2A.2A8.2A.2A7.2A.2A
10.2A.2A4.2A.2A4.A.A9.2A.2A$2A2.3F2.2A9.3F9.3F12.3F6.3F4.A.A11.3F$2A.
A3FA11.A3FA7.A3FA10.A3FA4.A3FA2.A2.A9.A.3FA$4.3F13.3F9.3F12.3F6.3F4.A
.A11.3F$3.2A.2A11.2A.2A7.2A.2A10.2A.2A4.2A.2A4.A.A9.2A.2A$21.A44.A$
33.A!
I think we should experiment with that object
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Extended Life

Post by Saka » February 6th, 2016, 5:04 am

Much spark

Code: Select all

x = 107, y = 20, rule = extendedlife
44.2A$4.2A38.2A33.A$3.A.A72.A2.A$4.F14.3A55.A4.A20.2A$.2A2FA11.A.AFA
58.B20.A3.A$A.BA11.2A.ABA.A23.2A27.A7.A20.A.A$.2A2FA11.A.AFA22.2AF27.
A7.A20.B2.A$4.F14.3A22.ABFA25.A7.A19.A$3.A.A38.2AF29.B20.A2.A.A2.A$4.
2A40.2A26.A4.A21.A$75.A2.A17.A2.B3.C$59.2A2.2A12.A18.A.A$58.A.FAF2A
32.A3.A$44.2A12.AB38.2A$30.2A12.2A12.A.FAF2A$29.A2.FA25.2A2.2A$4.2A
25.BFA$2.2A.F26.EA$2.A.BD.A$3.A.E24.2A!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

Bullet51
Posts: 541
Joined: July 21st, 2014, 4:35 am

Re: Extended Life

Post by Bullet51 » February 7th, 2016, 1:19 am

Indestructible beehive:

Code: Select all

x = 31, y = 20, rule = extendedlife
4.A5.3E$7.2A.AFE15.3E$3.A3.4ABE14.2AFE$5.A.2A.AFE10.2A.A.ABE$7.A2.3E
10.2A2.2AFE$6.2A20.3E$3.2A2$2.A$.A.A$EA.AE$EFBFE$5E$21.2A$21.A2.A3.3E
$22.3A2.2AFE$26.A.ABE$22.3A2.2AFE$21.A2.A3.3E$21.2A!
EDIT:

Code: Select all

x = 27, y = 11, rule = extendedlife
22.2A.2A$23.3F$2A.4A15.A3FA$.3F.3A3E12.3F$A3F.A.2AFE11.2A.2A$.3F4.ABE
$2A.A.4AFE$4.4A3E10.A$5.2A12.EA.AE$19.EFBFE$19.5E!
Still drifting.

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BlinkerSpawn
Posts: 1918
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Location: Getting a snacker from R-Bee's

Re: Extended Life

Post by BlinkerSpawn » February 7th, 2016, 8:59 am

That weird scaffold-type eater isn't so stable.

Code: Select all

x = 13, y = 7, rule = extendedlife
2A.2A$.3F$AF.FA$.3F$2A.2A5.3A$10.A$11.A!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Extended Life

Post by Saka » February 7th, 2016, 9:39 am

Lets call it Scaffold for now, other name ideas are accepted.
I feel like maybe we need a wiki for this rule, it's so interesting!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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drc
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Re: Extended Life

Post by drc » February 7th, 2016, 11:39 am

Saka wrote:Lets call it Scaffold for now, other name ideas are accepted.
I feel like maybe we need a wiki for this rule, it's so interesting!
http://extendedlife.wikia.com/

I'm terrible with wiki though, so somebody should create an infobox

So close:

Code: Select all

x = 24, y = 12, rule = extendedlife
2A$.A$.A.A$2.2A3$21.A$9.2A.2A5.A3.A$10.3F5.A$9.AF.FA4.A4.A$10.3F5.5A$
9.2A.2A!
MWSS eater:

Code: Select all

x = 55, y = 12, rule = extendedlife
2A$.A$.A.A$2.2A3$18.A33.A$8.2A.2A3.A3.A29.A3.A$9.3F3.A33.A$8.AF.FA2.A
4.A28.A4.A$9.3F3.5A29.5A$8.2A.2A!
EDIT: multipurpose eater, withperiod 8 for glider, period 6 for lwss and mwss, and period 7 with hwss, which means pretty much any period:

Code: Select all

x = 59, y = 12, rule = extendedlife
51.A.A$36.A.A11.A$21.A.A11.A14.A3.A$20.A14.A3.A10.A3.A$2.A17.A14.A14.
A$A.A17.A2.A11.A2.A11.A2.A$.2A17.3A12.3A12.3A$4.2A.2A15.2A.2A10.2A.2A
10.2A.2A$5.3F17.3F12.3F12.3F$4.AF.FA15.AF.FA10.AF.FA10.AF.FA$5.3F17.
3F12.3F12.3F$4.2A.2A15.2A.2A10.2A.2A10.2A.2A!
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Re: Extended Life

Post by Extrementhusiast » February 7th, 2016, 4:23 pm

Recently, I've been searching for birthforcer orbits, i.e. the various different ways that a single birthforcer and any number of normal cells can stabilize, much like someone (I forget who) did for the classic B-heptomino puffer. Here are the ones I've seen occur naturally (from various symmetries of initial conditions):

Code: Select all

x = 60, y = 415, rule = extendedlife
5.3A$4.A3.A$4.A.B.A$4.A3.A$5.3A40$6.A$6.A$6.A4$6.A$5.A.A$5.ABA$5.A.A$
6.A33$6.A$6.A$6.A4$3A3.B3.3A4$6.A$6.A$6.A11$5.2A$4.A2.A$6.B.A$4.A3.A$
5.A.A16$6.A.A$5.A$5.AB.A$5.3A21$5.3A$4.A3.A$9.A$6.B2.A$4.2A.A$6.3A9$
5.2A$6.B$6.2A9$2A$2A$5.A2.A$4.A$6.B$8.A$4.A2.A$11.2A$11.2A10$6.2A$4.A
3.A$7.A.A$6.B2.A$4.A$5.A2.A3$35.A16.A$34.A18.A$2.A30.A20.A$2.3A28.A
10.2A8.A$5.A26.A11.A10.A$2.2A.A26.A8.2A.A10.A$2.2A.A.A24.A8.2A.A.A8.A
$4.A.BA24.A10.A.BA8.A$2.2A.A.A24.A8.2A.A.A8.A$2.2A.A26.A8.2A.A10.A$5.
A26.A11.A10.A$2.3A28.A10.2A8.A$2.A30.A20.A$34.A18.A$35.A16.A8$7.3A$5.
2A2$9.A$3.A2.B2.A$3.A2$6.2A$3.3A5$33.A19.A$4.2A.2A23.A10.A10.A$5.A.A
23.A10.A.A10.A$5.A.A23.A10.A.A10.A$4.2A.2A21.A10.2A.2A10.A$2.A7.A19.A
8.A7.A8.A$30.A25.A$.A4.B4.A18.A7.A4.B4.A7.A$30.A25.A$2.A7.A19.A8.A7.A
8.A$4.2A.2A21.A10.2A.2A10.A$5.A.A23.A10.A.A10.A$5.A.A23.A10.A.A10.A$
4.2A.2A23.A10.A10.A$33.A19.A5$7.3A$5.2A2$11.A$3.A2.B4.A$11.A2$5.2A$7.
3A11$5.A.A$4.A2.A$4.A$.A$.A4.B2.A$.A$4.A$4.A2.A$5.A.A6$34.A15.A$33.A
17.A$6.2A24.A9.A9.A$4.A2.A24.A8.A.A8.A$4.3A24.A10.A10.A$31.A21.A$2.7A
22.A8.5A8.A$.A3.AB2.A21.A7.A.AB2.A7.A$2.7A22.A8.5A8.A$31.A21.A$4.3A
24.A10.A10.A$4.A2.A24.A8.A.A8.A$6.2A24.A9.A9.A$33.A17.A$34.A15.A7$5.
3A2$3.A5.A$3.A2.B2.A$3.A5.A2$5.3A13$4.3A$3.A$2.A$.A6.A$.A4.B$3.A$8.A$
5.A9$36.A19.A$35.A21.A$34.A23.A$6.2A26.A10.2A.A9.A$5.A2.A24.A11.A.2A
10.A$5.A.2A24.A8.2A.A13.A$2.2A.A27.A9.A.A.4A8.A$.A.A.A.4A22.A8.A3.B3.
A8.A$.A4.B4.A21.A8.4A.A.A9.A$2.4A.A.A.A21.A13.A.2A8.A$7.A.2A22.A10.2A
.A11.A$4.2A.A26.A9.A.2A10.A$4.A2.A26.A23.A$5.2A28.A21.A$36.A19.A16$8.
A$3.3A3.A$2.A6.A$9.A$6.B$3.A$3.A6.A$3.A3.3A$4.A14$36.A17.A$7.2A26.A
19.A$7.A.A24.A21.A$4.A4.A24.A10.A10.A$4.5A.2A21.A9.5A9.A$2.2A5.A2.A
20.A8.A5.A8.A$3.A2.A2.A.2A20.A8.A2.A2.A8.A$3.A.ABA.A23.A7.2A.ABA.2A7.
A$2A.A2.A2.A23.A8.A2.A2.A8.A$A2.A5.2A22.A8.A5.A8.A$.2A.5A24.A9.5A9.A$
3.A4.A25.A10.A10.A$3.A.A28.A21.A$4.2A29.A19.A$36.A17.A!
The ones in parentheses are stator-minimized versions that themselves did not appear, but a variant with a larger stator did (which is on its left).

I've also found this one, but the eaters were replaced by another copy of the left side:

Code: Select all

x = 12, y = 29, rule = extendedlife
8.A$8.3A$11.A$.A8.2A$.A$.A7$.2A$A$A.B$A$.2A7$.A$.A$.A8.2A$11.A$8.3A$
8.A!
...which makes me not want to include it, as it didn't fully occur naturally.

(When I've been searching for these, I've placed in other types of cells to perturb the initial birthforcer; I just make sure that none of those cells are involved in the final oscillator, or (if said cells were state 6) they could be replaced by normal cells.)
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Re: Extended Life

Post by A for awesome » February 7th, 2016, 7:18 pm

A G-to-LWSS with an abysmal, almost certainly suboptimal, repeat time of 160:

Code: Select all

x = 51, y = 52, rule = extendedlife
49.A$48.A$48.3A32$3.4C$3.CEFEC$3.CF2$.CF$.C$9.A$8.A$CF2.E3.3A$4.EFAE$
4.EBFE$4.4E$21.C$3.C4$23.C!
Edit: A better version with repeat time 70:

Code: Select all

x = 29, y = 23, rule = extendedlife
26.A$26.A.A$26.2A10$4.EFEC$3.CF$10.E$.CF$.C$9.A$8.A$CF2.E3.3A$2.E.EFA
E$4.EBFE$4.4E!
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

Post by BlinkerSpawn » February 7th, 2016, 10:40 pm

Uselessly interacting p58s:

Code: Select all

x = 33, y = 7, rule = extendedlife
25.A5.A$25.A5.A$5.E2.E2.E12.A.5B.A$8.A.A14.A5.A$6.2A3.2A12.A5.A$E7.A.
A5.E$5.E2.E2.E!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Extended Life

Post by Saka » February 10th, 2016, 6:51 am

just so this topic is active

Code: Select all

x = 63, y = 14, rule = extendedlife
.C5.C11.C5.C5.C5.C5.C5.C5.C5.C4$3A3.3A9.3A3.3A3.3A3.3A3.3A3.3A3.3A3.
3A$A.A3.A.A9.A.A3.A.A3.A.A3.A.A3.A.A3.A.A3.A.A3.A.A$3A3.3A9.3A3.3A3.
3A3.3A3.3A3.3A3.3A3.3A7$.C5.C11.C5.C5.C5.C5.C5.C5.C5.C!
*BUMP!*
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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Re: Extended Life

Post by BlinkerSpawn » February 10th, 2016, 8:35 am

Interesting reaction:

Code: Select all

x = 10, y = 15, rule = extendedlife
6.2A2$4.A.2D.A2$6.2A5$6.A$5.2A$5.A.A$.2A$A.A$2.A!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Extended Life

Post by drc » February 10th, 2016, 8:41 am

BlinkerSpawn wrote:Interesting reaction:

Code: Select all

x = 10, y = 15, rule = extendedlife
6.2A2$4.A.2D.A2$6.2A5$6.A$5.2A$5.A.A$.2A$A.A$2.A!
p60 based on a similar reaction:

Code: Select all

x = 10, y = 14, rule = extendedlife
2.A4.A2$A.D.2A.D.A2$2.A4.A5$2.3A4.A$7.A.A2$6.2A$6.A!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
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Re: Extended Life

Post by Saka » February 10th, 2016, 9:15 am

decent sparker

Code: Select all

x = 7, y = 12, rule = extendedlife
2.2C2$5.E2$C$2.F$C.2A$.3A$2.F.A$.AFA2.C$2.E$2.E!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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Re: Extended Life

Post by drc » February 26th, 2016, 10:53 pm

Found another one of those eater type things:

Code: Select all

x = 7, y = 9, rule = extendedlife
C2$3A$.F2$A.A$C4.2A$4.2A$6.A!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
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Re: Extended Life

Post by BlinkerSpawn » February 27th, 2016, 9:07 am

drc wrote:Found another one of those eater type things:

Code: Select all

x = 7, y = 9, rule = extendedlife
C2$3A$.F2$A.A$C4.2A$4.2A$6.A!
It doesn't really eat unless you use it as a blocker, and then it eats all gliders with this even/odd parity:

Code: Select all

x = 11, y = 7, rule = extendedlife
C2$3A6.A$.F6.2A$8.A.A$A.A$C!
EDIT: Sawtooth 114, loosely based upon Life's Sawtooth 177:

Code: Select all

x = 54, y = 55, rule = extendedlife
50.F7$41.C.A$43.A.A7.C$44.B$41.C7.A$43.A7.C$48.B$39.C7.A.A$49.A.C6$
16.C2$19.C2.C$8.F$19.2A$19.AB2A$19.2A2$17.2A$15.2ABA$17.2A2$2.4A9.C2.
C$2A4.2A30.2F$2A5.A13.C15.E2.E$2.2A.A.A30.2A.F$7.A21.A8.2A.F$3.A3.A
19.2A$3.A4.A19.2A$5.3A3.A23.E$5.2A4.A$11.2A$13.A$13.3A3$16.A$15.A.5A$
14.2A5.A$14.2A3.A2.A$22.A$16.2A.A2.A$19.A2.A$20.2A$20.2A!
Reaches minimum population at T=0, 10440, and 10440 * 362 ^ (n--1) generations.
EDIT 2:
Saka wrote:decent sparker

Code: Select all

x = 7, y = 12, rule = extendedlife
2.2C2$5.E2$C$2.F$C.2A$.3A$2.F.A$.AFA2.C$2.E$2.E!
The sparker's p252; here's the minimal phase (pop. 14):

Code: Select all

x = 7, y = 12, rule = extendedlife
2.2C2$5.E2$C$2.F$C2$2.FA$.AFA2.C$2.E$2.E!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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