Wire World Extensible 3 (WWEJ3)

[Axaj]

This is my favorite extension of WireWorld. Here is my first (nontrivial) pattern: a 1-line code rewriter.

Code: Select all

x = 40, y = 69, rule = WWEJ3
36.D$35.3C$20.3C.3C3.3C.C.D.C$20.C.C.C.C2.C3.C2.C.C$20.C.C.C.C2.2C.6C
$16.3C.C.C.C.C3.C2.C2.C$15.C2.C.C.C.C.C3.C.3C2.C$4.4C4.2C2.C.C.C.C.C.
C3.DC.C.C2.C$.3C4.C2.C2.C.C.C.C.C.C.C3.DC3.C.3C$.C6.C.3C.2C2.C.C.C.C.
C3.DC2.C2.C.C$3C5.C.C.C5.C.C.C.C.C3.C.2C4.C$C.C5.C2.C2.2C.2C.C.C.C.C.
B.C7.C$.C7.5C.2C3.C.C.C.C2.A2C.C4.C$.3C10.2C.C2.C.C.C.C3.C.5C2.C$.C.C
.2C10.C2.C.3C2.3C3.C3.3C$.C.2C.2C.4D3.C3.C5.C2.C3.C$.C3.2C.5C3.CD2.C
4.3CDC3.C$.C11.C2.CD3.C2.C.CD.C3.C$.4C4.3D.C2.C4.C2.C2.2CD3.C$4.C4.4C
.3C3.3C.CD.D.C3.C$.D.3C2.C2.D5.C2.C.C.C2.C.C3.C$3.C.C.3C4.D3.C2.C3.4C
4.C$4.C2.C.C.D2.2C2.C2.C5.C5.C$5.C2.C4.C2.C.C2.C5.C5.C$6.C.C.D2.C.5C.
C5.C5.C$7.C4.C3.C.C2.C5.C5.C$7.C.2C.C2.2C.3C4.2C6.C$7.2C.2C2.C.3C5.C
8.C$6.2C.2C3.C8.3C7.C$15.C7.C.C7.C$16.C4.D2.C8.C$17.C3.C.C9.C$18.5C
10.C$21.C$21.C$21.C$21.C$21.C$21.C$21.C$21.C$21.C$21.C$21.C$21.C$21.C
$21.C$21.C$21.C$21.C$21.C3$21.C2$21.C2$21.C$21.C2$21.C$21.C$21.C2$21.
C$21.C$21.C$21.C$21.C!

[mvr]

I was curious about what would happen in a random soup in this rule.

A lot of the time, you end up with rainbow ladders that bounce around debris:

Code: Select all

x = 3, y = 2, rule = WWEJ3
BCD$.K!

Sometimes you get patterns like the following, which balloon around but usually end up being destroyed:

Code: Select all

x = 5, y = 3, rule = WWEJ3
N3.C$.H.C$C.C!

Do you think one of these ballooning patterns could eventually re-create itself to become an oscillator or a spaceship?

[mvr]

Looks like the answer is yes! Here's a spaceship:

Code: Select all

x = 19, y = 12, rule = WWEJ3
7.O3.O$7.NO.ON$6.H5.H$5.C.C.C.C.C$4.C.C.C.C.C.C$3.C3.C3.C3.C$2.C.C.C.
C.C.C.C.C$.C15.C$C17.C$.C.C.C.C.C.C.C.C.C$2.C.C.C.C.C.C.C.C$9.N!

There are a couple of asymmetrical variations, some that produce lots of smoke.

[Axaj]

I am amazed that this rule has spaceships in it! I'm working on constructing it, but meanwhile, here are two non-destructive receivers (however, the readers get destroyed):

Code: Select all

x = 38, y = 22, rule = WWEJ3
19C6$24.O3.O$24.NO.ON$17C6.H5.H$22.C.C.C.C.C$21.C.C.C.C.C.C$20.C3.C3.
C3.C$19.C.C.C.C.C.C.C.C$18.C15.C$17.C17.C$18.C.C.C.C.C.C.C.C.C$19.C.C
.C.C.C.C.C.C$16.N9.N9.N$15.C21.C$16.N3.N11.N3.N$17.C.C13.C.C$18.C15.C
!

Here is a destructive reader:

Code: Select all

x = 38, y = 18, rule = WWEJ3
23C3$24.H3.H$23.C.N.N.C$22.C2.O.O2.C$21.C.C5.C.C$20.C3.C3.C3.C$19.C.C
.C.C.C.C.C.C$19.O.O.O.O.O.O.O.O$18.ON.N.N.N.N.N.N.NO$19.O.O.O.O.O.O.O
.O$35.N$18.N7.C9.C$19.C5.N.N5.N.N.C$16.N3.C11.C3.C$17.C.C13.C.C$18.C
15.C!

Also, here is an interesting oblique-arm spaceship:

Code: Select all

x = 44, y = 41, rule = WWEJ3
9.H3.H$8.C.N.N.C$7.C2.O.O2.C$6.C.C5.C.C$5.C3.C3.C4.O$4.C.C.C.C.C.C2.O
N$4.O.O.O.O.O.O.O2.H$3.ON.N.N.N.N.N.N3.C$4.O.O.O.O.O2.H.H.C.C$2.N15.C
3.C$.C11.C5.C.C.C$C.N.N7.N.C.C.C.C$.C.C.C9.C.C3.C2.O$2.C3.C16.ON$3.C.
C19.H$4.C21.C$25.C.C$24.N3.C$27.C.C$22.N.N.C$23.C.C4.O$24.C.C3.N$25.C
3.H.H$26.CON3.C$29.H.C.C$30.C3.C$31.C.C.C$32.C$33.C2.O$35.ON$37.H$38.
C$37.C.C$36.N3.C$39.C.C$34.N.N.C$35.C.C4.O$36.C.C3.NO$37.C3.H$38.CON$
40.O!

[calcyman]

I am amazed that this rule has spaceships in it!

Quite the reverse -- I have created von Neumann replicators in Tennant's first edition of Wire World Extensible, and a WWEJ3 variant could easily clean up after itself, thereby creating a very slow-moving spaceship with a very high period. The same is true of Life, but it is much easier to make a replicator in WWEJ3.

One of my replicators has a 64-layer tape, instead of a single one-dimensional tape, thereby significantly reducing the bounding box.

[Axaj]

I am amazed that this rule has spaceships in it!

Quite the reverse -- I have created von Neumann replicators in Tennant's first edition of Wire World Extensible, and a WWEJ3 variant could easily clean up after itself, thereby creating a very slow-moving spaceship with a very high period. The same is true of Life, but it is much easier to make a replicator in WWEJ3.

One of my replicators has a 64-layer tape, instead of a single one-dimensional tape, thereby significantly reducing the bounding box.

Ah, so you made the WWE2 replicators? And I meant small, fast, and low period spaceships.

[mvr]

An extensible pyramid spaceship? They puff for a bit before settling down.

Code: Select all

x = 39, y = 23, rule = WWEJ3
17.O3.O$17.NO.ON$16.H5.H$15.C.C.C.C.C$14.C.C.C.C.C.C$13.C3.C3.C3.C$
12.C.C.C.C.C.C.C.C2$11.O3.O3.O3.O3.O$11.N3.N3.N3.N3.N$10.H.H.H.H.H.H.
H.H.H.H$9.C3.C3.C3.C3.C3.C$8.C.C.C.C.C.C.C.C.C.C.C.C$7.C3.C3.C3.C3.C
3.C3.C$6.C.C.C.C.C.C.C.C.C.C.C.C.C.C2$5.O3.O3.O3.O3.O3.O3.O3.O$5.N3.N
3.N3.N3.N3.N3.N3.N$4.H.H.H.H.H.H.H.H.H.H.H.H.H.H.H.H$3.C3.C3.C3.C3.C
3.C3.C3.C3.C$2.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C$.C3.C3.C3.C3.C3.C
3.C3.C3.C3.C$C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C!

[Axaj]

An extensible pyramid spaceship? They puff for a bit before settling down.

Code: Select all

x = 39, y = 23, rule = WWEJ3
17.O3.O$17.NO.ON$16.H5.H$15.C.C.C.C.C$14.C.C.C.C.C.C$13.C3.C3.C3.C$
12.C.C.C.C.C.C.C.C2$11.O3.O3.O3.O3.O$11.N3.N3.N3.N3.N$10.H.H.H.H.H.H.
H.H.H.H$9.C3.C3.C3.C3.C3.C$8.C.C.C.C.C.C.C.C.C.C.C.C$7.C3.C3.C3.C3.C
3.C3.C$6.C.C.C.C.C.C.C.C.C.C.C.C.C.C2$5.O3.O3.O3.O3.O3.O3.O3.O$5.N3.N
3.N3.N3.N3.N3.N3.N$4.H.H.H.H.H.H.H.H.H.H.H.H.H.H.H.H$3.C3.C3.C3.C3.C
3.C3.C3.C3.C$2.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C$.C3.C3.C3.C3.C3.C
3.C3.C3.C3.C$C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C!

These can be easily extended further.

[calcyman]

The 64-layer replicator was in WWE, not WWE2.

[Axaj]

The 64-layer replicator was in WWE, not WWE2.

My mistake, you are correct.

[mvr]

These are no use to anyone, but they're sure fun to fiddle with.

Code: Select all

x = 49, y = 13, rule = WWEJ3
5.O3.O$5.NO.ON$4.H5.H9.O3.O$3.C.C.C.C.C8.NO.ON$2.C.C.C.C.C.C6.H5.H$.C
11.C4.C.C.C.C.C$C11.C.C2.C.C.C.C.C.C$.C.C.C.C.N.N4.H11.C12.O3.O$2.C.C
.C.C4.O.N11.C.C11.NO.ON$12.ONO.H.C.C.C.N.N3.C9.H5.H$13.O3.C.C.C.C4.O
2.C7.C.C.C.C.C$27.ONOC7.C.C.C.C.C.C$28.O!

[ssaamm]

Here is a spacefiller that works totally differently than the other

Code: Select all

x = 7, y = 6, rule = WWEJ3
.CFBCL$B5.B$I5.C$C5.K$B5.B$.KCBLC!

EDIT:
and one more, much smaller

Code: Select all

x = 7, y = 5, rule = WWEJ3
.KCBLC$B5.B$C5.K$F5.C$.B2CLB!

EDIT2:
one more!

Code: Select all

x = 13, y = 11, rule = WWEJ3
2.C$2.C$2.2CBJCBK4C$2.L7.B$2.B7.F$2.C7.C$2.F7.B$2.B7.L$4CKBCJB2C$10.C
$10.C!

EDIT3:
geez one more

Code: Select all

x = 13, y = 11, rule = WWEJ3
2.C$2.C$2.2CBICBK4C$2.L7.B$2.B7.F$2.C7.C$2.F7.B$2.B7.L$4CKBCIB2C$10.C
$10.C!

[Awesomeness]

I only have 1 and 2, where do you get 3?

[Axaj]

I only have 1 and 2, where do you get 3?

It should be on the RTR (Rule Table Repository).

[Awesomeness]

1 and 2 are.

[knightlife]

All three versions of WWE are here.

[alan2here]

wow :¬) this is an unintended use for our rule, they look like Generations or Lifelife patterns, tyvm for the interest.

Do I know everyone in this thread who makes circuits btw?

[Awesomeness]

Smaller rake:

Code: Select all

x = 32, y = 18, rule = WWEJ3
7.C3.C$6.C.C.C.C$6.O2.C2.O9.C3.C$6.N.C.C.N8.C.C.C.C$5.H.H.C.H.H7.O2.C
2.O$4.C.C.C.C.C.C6.N.C.C.N$3.C11.C4.H.H.C.H.H$2.C.N11.C2.C.C.C.C.C.C$
.C.C7.C.C.C14.C$C.C.C5.N.C.C16.C$.C2.O21.C.C.C$3.ONO19.N.C.C$4.O15.C$
19.C.C$18.C3.C$17.C3.C$18.C.C$19.C!

Challenges for pyramid technology:
Replicator
Smallest rake possible
Breeder

EDIT: A whole bunch of spaceships, puffers, and wickstretchers!:

Code: Select all

x = 519, y = 294, rule = WWEJ3
429.H3.H$428.C.N.N.C$352.C3.C7.C3.C7.C3.C7.C3.C7.C3.C7.C3.C10.C2.O.O
2.C$351.C.C.C.C5.C.C.C.C5.C.C.C.C5.C.C.C.C5.C.C.C.C5.C.C.C.C8.C.C5.C.
C$350.C3.H3.C3.C3.H3.C3.C3.H3.C3.C3.H3.C3.C3.H3.C3.C3.H3.C6.C3.C3.C3.
C$349.C.CON.NOC.C.C.CON.NOC.C.C.CON.NOC.C.C.CON.NOC.C.C.CON.NOC.C.C.C
ON.NOC.C4.C.C.C.C.C.C.C.C$349.O.O2.C2.O.O.O.O2.C2.O.O.O.O2.C2.O.O.O.O
2.C2.O.O.O.O2.C2.O.O.O.O2.C2.O.O4.O.O.O.O.O.O.O.O$347.C.N.N.N.N.N.N.N
.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N.N4.N.N.N.N.N
.N.N.N$346.C.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H3.H
2.H2.O.O.O.O.O.O2.H$345.C3.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.
C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.2C17.C$344.C.C.C.C72.C.C11.C.C$347.C76.
C.N9.N.C$343.O4.CO8.C.C.C9.C.C.C11.C.C.C7.C.C7.C.C.C$343.NOC.CON.N5.N
.C.C.N7.N.C.C.N9.N.C.C.N5.N.C.N5.N.C.C.N$342.H3.CO2.H49.C.C$341.C.NOC
ON.N.N47.N.C.N$340.C.H.C3.C.H$341.C.C.CON$344.C2.O$345.C.C$346.C21$
230.C3.C29.C3.C$229.C.C.C.C27.C.C.C.C$232.C33.C$228.O2.H.H2.O10.O3.O
10.O2.H.H2.O$228.N.N.C.N.N10.NO.ON10.N.N.C.N.N$227.H.H.H.H.H.H8.H5.H
8.H.H.H.H.H.H$226.C3.C3.C3.C6.C.C.C.C.C6.C3.C3.C3.C$225.C.C.C.C.C.C.C
.C4.C.C.C.C.C.C4.C.C.C.C.C.C.C.C$224.C15.C2.C3.C3.C3.C2.C15.C$223.C.C
13.C.2C.C.C.C.C.C.C.2C.C13.C.C$222.C3.N.N.C.C.C.N.N3.C13.C3.N.N.C.C.C
.N.N3.C$221.C2.O4.C.C.C.C4.O2.C11.C2.O4.C.C.C.C4.O2.C$222.CONO13.ONOC
13.CONO13.ONOC$224.O15.O17.O15.O6$7.C3.C136.C3.C$6.C.C.C.C134.C.C.C.C
$9.C140.C$5.O2.H.H2.O10.O3.O102.O3.O10.O2.H.H2.O$5.N.N.C.N.N10.NO.ON
102.NO.ON10.N.N.C.N.N$4.H.H.H.H.H.H8.H5.H100.H5.H8.H.H.H.H.H.H188.H3.
H$3.C3.C3.C3.C6.C.C.C.C.C5.C86.C5.C.C.C.C.C6.C3.C3.C3.C186.C.N.N.C$2.
C.C.C.C.C.C.C.C4.C.C.C.C.C.C3.H.C84.C.H3.C.C.C.C.C.C4.C.C.C.C.C.C.C.C
184.C2.O.O2.C$.C15.C2.C3.C3.C3.CON.C.C82.C.C.NOC3.C3.C3.C2.C198.C.C5.
C.C.C$C17.2C.C.C.C.C.C.C3.H.C.C80.C.C.H3.C.C.C.C.C.C.2C198.C$.C.C.C.N
.N.N.C.C.C12.C.CON.C.C82.C.C.NOC.C12.C.C.C.N.N.N.C.C182.C$2.C.C.C5.C.
C.C13.O.O2.H.C2.O78.O2.C.H2.O.O13.C.C.C5.C.C.C182.C.C.C.C.C.C.C$20.C.
C.C.C.CON.N.N.C.CON78.NOC.C.N.N.NOC.C.C.C.C201.C.C.C.N.N.C.C$21.C.C.C
.C2.O2.N.H.C3.H76.H3.C.H.N2.O2.C.C.C.C$22.C11.C.C.CON.C74.C.NOC.C.C
11.C59.C3.C89.C3.C41.N$21.N.N9.N.C.C3.H.C72.C.H3.C.C.N9.N.N57.C.C.C.C
87.C.C.C.C$.N15.N16.C.C.CON.C.C70.C.C.NOC.C.C16.N56.C93.C45.N.N$33.N.
C.C3.H.C.C68.C.C.H3.C.C.N68.O2.H.H2.O10.O3.O7.O3.O7.O3.O7.O3.O7.O3.O
7.O3.O10.O2.H.H2.O42.C109.C3.C$34.C.C.CON.C.C70.C.C.NOC.C.C69.N.N.C.N
.N10.NO.ON7.NO.ON7.NO.ON7.NO.ON7.NO.ON7.NO.ON10.N.N.C.N.N151.C.C.C.C$
35.C2.O2.H.C2.O66.O2.C.H2.O2.C69.H.H.H.H.H.H8.H5.H5.H5.H5.H5.H5.H5.H
5.H5.H5.H5.H8.H.H.H.H.H.H98.C3.C7.C3.C7.C3.C7.C3.C10.C3.H3.C$37.ON.N.
C.CON66.NOC.C.N.NO70.C3.C3.C3.C6.C.C.C.C.C3.C.C.C.C.C3.C.C.C.C.C3.C.C
.C.C.C3.C.C.C.C.C3.C.C.C.C.C6.C3.C3.C3.C96.C.C.C.C5.C.C.C.C5.C.C.C.C
5.C.C.C.C8.C.CON.NOC.C$39.H.H.C3.H64.H3.C.H.H71.C.C.C.C.C.C.C.C4.C.C.
C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C4.
C.C.C.C.C.C.C.C95.O2.C2.O5.O2.C2.O5.O2.C2.O5.O2.C2.O8.O.O2.C2.O.O$40.
C.C.CON.C62.C.NOC.C.C71.C15.C2.C3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C3.C
3.C3.C3.C3.C3.C3.C2.C15.C94.N.C.C.N5.N.C.C.N5.N.C.C.N5.N.C.C.N8.N.N.N
.N.N.N$41.C.C3.H.C60.C.H3.C.C71.C17.2C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.
C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.2C17.C92.H.H.C.H.H3.H.H.C.H
.H3.H.H.C.H.H3.H.H.C.H.H6.H3.H3.H3.H$42.C.CON.C.C58.C.C.NOC.C73.C.C.C
.N.N.N.C.C.C77.C.C.C.N.N.N.C.C.C92.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.
C.C.C.C.C.C.C4.C.C.C.C.C.C.C.C$43.C3.H.C.C56.C.C.H3.C75.C.C.C5.C.C.C
79.C.C.C5.C.C.C92.C47.C2.C15.C$44.CON.C.C58.C.C.NOC94.C.C.C.C.C.C.C.C
.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C109.C.N45.N
.2C.N13.N.C$47.H.C2.O54.O2.C.H98.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.
C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C.C109.C.C5.C.C.C.C.C.C.C7.C.C.C7.C.C
.C5.C2.C5.C.C.C5.C.C$46.N.C.CON54.NOC.C.N98.C11.C11.C19.C11.C11.C109.
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.C$499.C!

The puffer that doesn't puff in a straight line by using the wickstretcher technology is interesting.

Wow, I love these spaceships... They have so many possibilities and it's impossible for them to die from the back.

Do you think making a rule that doesn't have any other states but the required ones just for these spaceships would be worthwhile?

[Axaj]

Do you think making a rule that doesn't have any other states but the required ones just for these spaceships would be worthwhile?

Not unless there are significant changes; however, a lower state CA with similar principles would be interesting.

[alan2here]

Axaj, you can probbably make that a bit smaller. It's not quite the same but.

x = 36, y = 93, rule = WWEJ3
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[Awesomeness]

Aside from logic circuitry, here's two breeders, (which proves possible one of the challenges) and two new spaceships:

Code: Select all

x = 457, y = 27, rule = WWEJ3
168.C3.C$167.C.C.C.C$166.C3.H3.C$165.C.CON.NOC.C109.H3.H$165.O.O2.C2.
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C164.C3.C11.C3.C$172.C.C13.C.C$173.C15.C!

The breeders could be substantially shrunk, I am sure. After over 500,000 generations of chaotic puffing which creates a bunch of spaceships and one additional puffer, it settles into a double-triangle shaped spaceship. The double-triangle spaceship is period 48.

[MarkJ]

Hi,

First of all, I'm pleased that our WWEJ3 has become this popular. I don't roam this forum so I usually don't know what's going on here.

I'm also a bit surprised that people are experimenting with our WWEJ3 to the point of finding whole new unorthodox and unintended uses for it. I'm looking forward to more (normal) stuff.

It's nice to know that it is possible, but I'm not thrilled. I mean, if you want spaceships, puffers, non-destructive receivers, rakes, guns, and whatnot, then you might just as well use Life, which has a much better ratio of project-size vs. number of states. We designed WWEJ3 as a mid-way between Life and Neumann. Life has the least amount of states, Neumann is easiest (in some ways). Langton's also has a very small number of states but is very difficult and bulky (ugly).


I looked at all the designs here, and I have some small comments:

I looked at the spacefillers, and I remember similar effects happening to me too. After some circuit accidents, sometimes these spacefillers (rainbow driven or not) might happen accidentally.

ssaamm's Spacefiller 3 is very chaotic and even around gen 6000 it creates 4 antennae on each side which are later destroyed from both ends. Because it is so chaotic, it is very slow in Golly as it can't compress the design well with the hashing algorithm.

In Awesomeness' design above this post, because of the interference between the spaceships, at some time a small spaceship is created in the opposite direction. This one has a very large period (p96), and it is a mirror copy of itself 48 gens ahead:

Code: Select all

x = 17, y = 17, rule = WWEJ3
6.C$5.C.C.C$6.C.C.N3.N$4.O2.C3.C.C.C$N.N.N.C5.C$3.H.H5.C.C$C.C11.C.C$
.C.C.C.C.C.C.C.C$2.C.C.C.C.C.C.C$.C13.C$2.C11.C$3.H.H.H.H.H.H$4.N.N.C
.N.N$4.O2.H.H2.O$8.C$5.C.C.C.C$6.C3.C!

[calcyman]

Langton's also has a very small number of states but is very difficult and bulky (ugly).

You mean Codd's cellular automaton? If you think that's difficult, be glad you haven't seen Banks-IV! In Banks-IV, construction takes cubic time, compared to linear (for all other rules).

[alan2here]

Thanks Mark, it's good to see you in this thread as well, people can get feedback from us both now, and I agree with what you say.

Although I think of WWEJ3 as being the best of Wireworld and Codd with elements of Neumann.

I'm working on a rule called ships specifically designed for these ships. I'm considering on whether it is worth sacrificing a few of the designs, leaving many still working for a more consistant rule. Then you can get to using WWEJ3 for circuits, replicators etc... You wouldn't want an update to break all your stuff for example.

I wanted to make trivial spacefillers impossible btw, not going to happen it seems but it's much less of a problem than in earler verstions.

Maybe we could tidy things up into two threads later, one for WWEJ3 and one for Ship stuff.

Is it really impossible to create a linear replicator in some of Banks rules or just more complicated?

[calcyman]

Is it really impossible to create a linear replicator in some of Banks rules or just more complicated?

The way that the construction 'arm' works requires O(n^3) time to create a configuration of n cells.



And, just for the record, please remember to include the pre-nominal 'von' before the 'Neumann'.