24567/345678/5

For discussion of other cellular automata.
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Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

24567/345678/5

Post by Sphenocorona » February 26th, 2014, 12:11 am

This rule is really active. Generic smoke tends to slowly shrink, but most of the time it will shoot off some spaceships of a variety of front-end shapes, many of the times having smoky tails or being very long. It does make quite a lot of puffers, too. Here's a generic example (some ships are very small, but not all):

Code: Select all

x = 10, y = 44, rule = 24567/345678/5
3.AC.DCB$3.5AC$3.ADABA$2.D.4A$3.CABA$.CB5A$BAC3AB2A$BAC3ABAB$AC2A3BA$
.7A2D$.3AD2AC$2.2ABC.D$.CA4.C$.3ACD.BA$.D6AB$.B4AB2A$.3A2B2A$3.4A$2.C
A2CAC$2.4ABA$3.2ADAD$3.D3AB$3.B4A$4.2A$3.C2AC$3.4A$3.D2AD$3.B2AB$4.2A
$3.C2AC$2.D4AD$2.BA2BAB$2.6A$4.2A$3.C2AC$2.DA2DAD$2.B4AB$2.6A$4.2A$3.
C2AC$2.D4AD$2.BA2BAB$2.6A$4.2A!
Can anybody engineer anything interesting? Any oscillators with large sparks would probably be very helpful.
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towerator
Posts: 328
Joined: September 2nd, 2013, 3:03 pm

Re: 24567/345678/5

Post by towerator » February 26th, 2014, 9:31 am

A rake!

Code: Select all

x = 293, y = 81, rule = 24567/345678/5
22$33.CD$14.ABDAB3ACAD7.DC$14.B5ABDBAC6.BAB$14.CA3BAD.C2.BA2BADCAD11.
ABC.AC4A.A$14.DA3B3AD5ACAB.D12.4ABABC5A.DA3.DB.CADB.CADB.CADB.CADB.CA
DB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.C
ADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.
CADB.CADB.CADB.CADB.CADB.CADBA$15.9A2BADA.2A12.2ABA.A2D3AC5A.DC193A$
14.3A2.AC3A2B6AB8.ABA.3A.B3ABACAD199A$13.C3A2.AC8A2D2ACD6.6A2.A2CABAC
3A.6A.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CAD
B.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CA
DB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADBA$12.5AB11A
2DABCD5.10A2C6ADB3ADBA$12.C3A3CA2D4A.4ADB7.C2AD6AB3A.CA3.CA$13.3A3CA
2D2AB3A2B2AD7.BC4.3ACADBA$12.B4A2CA3D8AB$13.A2B10A.4A$12.D4AD2AB4A2.
2A$12.CD2A3.4A$15.DCDBDA$14.D2.DC!
This is game of life, this is game of life!
Loafin' ships eaten with a knife!
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twinb7
Posts: 190
Joined: February 11th, 2014, 8:08 pm
Location: Ames, Iowa

Re: 24567/345678/5

Post by twinb7 » February 26th, 2014, 9:57 am

It's cool how many ships produce copious amounts of smoke.

Code: Select all

x = 16, y = 47, rule = 24567/345678/5
6.4A$4.7A$2.8AC$2.B2ACA2.B$2.D6AD$2.2A3B2A$.7A$.C6A$2.5AD$3AC3A$B6A$D
2ADA$.D6.D.A$7.A2BAB$6.CA2C2AD$5.3A2C4A$4.AC2A2C3A.B$2.BCB6AD2ADA$.DB
2DA2CAB5AC$.2ACDB2CA2BA.3A$.B2AD11A$.AC4A3DA3B2A$2.5A2D5AB$4.7A.2A$3.
D.2A2.AD$7.D2AB$7.4A$8.2B12$6.ABCD$6.4ABD$5.CAB3AC$4.6ABA$4.CAD2AC$4.
B4AD$4.5AB$6.A.BA!
However, I think using this smoke to accomplish too much might be difficult- the size could make it harder to work with. However, that by no means implies there's no hope for engineered patterns.
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dvgrn
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Location: Madison, WI
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Re: 24567/345678/5

Post by dvgrn » February 26th, 2014, 2:51 pm

towerator wrote:A rake!
Not too surprisingly for this rule, that rake can be adjusted to make a breeder:

Code: Select all

x = 29, y = 9, rule = 24567/345678/5
5.A$2.DC3A.DA13.DB.CA$.D.B6A.DCDCBCBABA.7A$3.3AD16AB5A$3.3ADA.16A.CA$
.11ADB.CADB.CADBA$.7A.CA$5ADBA$2.CA!
There's a p2 head attached to a p6 body attached to a p228 tail -- not sure if I'm missing another multipler or two in the middle there... The tail puffs out rakes that interact with each other in various improbable ways to produce a growing triangle of p456 backward ships.

But there's certainly no shortage of quadratic-growth objects in this rule -- e.g.,

Code: Select all

#C puffer produces growing horizontal lines
x = 6, y = 19, rule = 24567/345678/5
.4A$2.3AC$.ACDBA$2ACDCA$B2ADBD$DAD2AB$C5A$BABA$4AC$.C3A$.BDAD$D3AB$B
4A$.2A$C2AC$4A$D2AD$B2AB$4A!
or even this dense-smoke-maker, where the oblique leading edge seems to get inexorably longer:

Code: Select all

x = 37, y = 23, rule = 24567/345678/5
2$3A$4A.DA$AC5A5.DA$2A2CAB2ACAB4A.BA$D2AC3ACA.9ACBA$D5A2CAD2A.ADAB5A
2D.DCADBA$DC29A$.B5AB3ADAC6AD5ABAC2A$.4ACAB3ADAC3A.2ADA.3AB4A$A.AB26A
$5AC.ADAB4A.C2ABACAD3ADBA$AC3AD.ADAB3AD.D2ABAC4A$ACAC.D9A.10A$2ABD5A.
ACAB6ADB.CA$.CAB5A.6A.CA$D2.DAB7ADBA$3.D5A.CA$4.2ADBA!
As usual (I think) for Brian's-Brain-ish rules, if most things are flying around at half the speed of light or more, the problem is going to be finding anything stable enough to build any kind of logic circuitry out of. So far I've only seen one p10 oscillator, generated by this p64 puffer --

Code: Select all

x = 261, y = 14, rule = 24567/345678/5
243.2ADB.CA3.CA3.CA$218.D.D15.CD2A.CD8ADB3ADB3A$220.D15.D2AD2B3.7A.4A
.3A$43.ABC30.ADB28.CD31.2AD29.ABA28.ABC29.C4AC2AB3A.B.11A$43.C3A28.D
2AC29.3A28.3A29.B3A28.C3A28.D5A2DA2C2A.3ADA.3AB2A$4.ABCDADBA31.3AC28.
C2AD28.3A30.3A28.3AB28.3AC28.2A.AB6AB2.3ADA.5A$.DA.9A31.CBA28.BDA31.D
C28.D2A29.ABA30.CBA28.4A3B3ABCD.D10A$5A2CA3B3ACBA218.D8A2.C2.DB3ADB.C
A$DA2B4A2B8ADBA215.C2ACD10.CA$.B4A3B5AB6A.CADBA$2.2A.5A.D4ACAD8A$6.CB
A3.2C2AC10A$14.DB3ADB.CADBA$16.CA!
-- and it doesn't seem to be stable enough to survive anything bumping into it.

Has anyone seen a larger oscillator, or is there a way of engineering one? Otherwise the likely way to get something to stand still would be to bounce some prolific moving object off of copies of itself, maybe in a square, along the lines of Bill Gosper's original plan for a p30 glider gun.
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Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Re: 24567/345678/5

Post by Sphenocorona » February 26th, 2014, 3:47 pm

Here's a p5 oscillator:

Code: Select all

x = 4, y = 4, rule = 24567/345678/5
.2A$4A$4A$.2A!
Furthermore, it can delete a small ship:

Code: Select all

x = 19, y = 11, rule = 24567/345678/5
4.CA$2.DB3A$2D2AB2A$2.4A$3.DBA3$15.4A$15.4A$15.4A$15.4A!
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Sphenocorona
Posts: 549
Joined: April 9th, 2013, 11:03 pm

Re: 24567/345678/5

Post by Sphenocorona » February 26th, 2014, 4:41 pm

I found an extensible oscillator! It's also P5, but at least we know that there are infinitely many distinct oscillators that are not "trivial":

Code: Select all

x = 24, y = 24, rule = 24567/345678/5
4.2C$3.D2AD$3.5A$.D2A2B2A$C2A2B2A.2A$C2AB2A.3AB$.D3A.2AC3A$2.2A.2A3C
2A$4.2A3C2A.2A$4.3AC2A.3AB$5.B3A.2AC3A$6.2A.2A3C2A$8.2A3C2A.2A$8.3AC
2A.3AB$9.B3A.2AC3A$10.2A.2A3C2A$12.2A3C2A.2A$12.3AC2A.3AD$13.B3A.2AB
2AC$14.2A.2A2B2AC$16.2A2B2AD$16.5A$17.D2AD$18.2C!
EDIT 1:
Inspired by this, here's a p15 oscillator:

Code: Select all

x = 8, y = 8, rule = 24567/345678/5
3.2C$3.2AD$.D4A$C2A2B2AC$C2A2B2AC$2.4AD$2.D2A$3.2C!
EDIT 2:
And a variant of said p15 oscillator which arose from a collision with a worm:

Code: Select all

x = 6, y = 7, rule = 24567/345678/5
.3A$.5A$2A2C2A$2A2C2A$5A$2.3A$2.2C!
EDIT 3:
YES! I found how to hassle a worm with four symmetric p15's!

Code: Select all

x = 29, y = 22, rule = 24567/345678/5
3.A21.A$2.B3A17.3AB$.5AB15.B5A$.2A2D3A13.3A2D2A$3A2D2A15.2A2D3A$.B5A
15.5AB$2.3AB17.B3A$4.A19.A2$9.AC.BDADB.CA$8.13A$8.13A$9.AC.BDADB.CA2$
7.A13.A$6.B3A9.3AB$5.5AB7.B5A$5.2A2D3A5.3A2D2A$4.3A2D2A7.2A2D3A$5.B5A
7.5AB$6.3AB9.B3A$8.A11.A!
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towerator
Posts: 328
Joined: September 2nd, 2013, 3:03 pm

Re: 24567/345678/5

Post by towerator » February 27th, 2014, 9:39 am

The worm breeder may be harnessed with another breeder to create a worm puffer of arbitrary long size chains:

Code: Select all

x = 587, y = 457, rule = 24567/345678/5
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ADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CADB.CA$197.DB388A$197.DB388A$
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