WireWorld Crossover?

[Aieou]

Does anyone know of a crossover organ in WireWorld that is completely asynchronous? i.e. The adjacency of the signals doesn't matter. Using the standard XOR-based crossover organ, the signals have to either be completely disjoint (i.e. one goes through the gates entirely before the other) or exactly on time, or else there is a loss of information.

[dvgrn]

Does anyone know of a crossover organ in WireWorld that is completely asynchronous? i.e. The adjacency of the signals doesn't matter. Using the standard XOR-based crossover organ, the signals have to either be completely disjoint (i.e. one goes through the gates entirely before the other) or exactly on time, or else there is a loss of information.

I haven't sorted out all the available tricks, but complete asynchronicity seems to be rare in WireWorld designs. Karl Scherer's collection mostly requires signals with specific base periods, for example.

It seems as if an asynchronous crossover is probably out there somewhere, but might be very bulky -- split each signal into N signals, delay the N sets of signals by different relative amounts, then OR the results together again after the crossing?

But that would require XOR gates that lose information if the timing is bad, without undergoing catastrophic collapse:

Code: Select all

x = 32, y = 76, rule = WireWorld
.A$.C$.C$.C$4C$C.10C$4C$.C$.C$.C$.A10$.A19.A$.C19.C$.C19.C$.C19.C$4C
16.4C$C.10C8.C.10C$4C16.4C$.C19.C$.C19.C$.C19.C$.C19.C$.A19.C$21.A8$.
A19.A$.C19.C$.C19.C$.C19.C$4C16.4C$C.10C8.C.10C$4C16.4C$.C19.C$.C19.C
$.C19.C$.C19.C$.C19.C$.C19.C$.A19.C$21.A6$.A$.C$.C$.C$4C$C.10C$4C$.C$
.C$.C$.C$.C$.C$.C$.C$.A!

With this XOR mechanism, there seem to be four troublesome timings on either side of the correct timing. Two of them just lose information, but the other two timings permanently break the circuit. Is there an XOR gate that avoids those two worst cases somehow?

[PHPBB12345]

Code: Select all

x = 25, y = 7, rule = WireWorld
9.2C.C.2C$CBA7C.4C.9C$9.2C.C.2C$12.C$9.2C.C.2C$10C.4C.9C$9.2C.C.2C!

[fluffykitty]

I'm pretty sure this kind of thing is impossible (something about signal tail interference at the crossing point). However, it could be possible in a Wireworld variant with LLLL-like signals.

[Kiran]

Code: Select all

x = 25, y = 7, rule = WireWorld
9.2C.C.2C$CBA7C.4C.9C$9.2C.C.2C$12.C$9.2C.C.2C$10C.4C.9C$9.2C.C.2C!

Catastrophic failure:

Code: Select all

x = 25, y = 7, rule = WireWorld
9.2C.C.2C$BA8C.4C.9C$9.2C.C.2C$12.C$9.2C.C.2C$4CBA4C.4C.9C$9.2C.C.2C!

[MarkJ]

This one's not pretty, and it can probably be optimized more, but it's completely asynchronous.

Code: Select all

x = 274, y = 159, rule = WireWorld
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[Freywa]

This one's not pretty, and it can probably be optimized more, but it's completely asynchronous.

3-tick logic allows for some compression:

Code: Select all

x = 196, y = 42, rule = WireWorld
98.4C$91.2C3.2C4.C$38.BC50.C2.C.C2.C.C2.C$37.3A49.C2.3C2.3C.C.C.2C$
38.C3.44C3.C.C.2C.C.2C.C2.C2.C$35.3C.C.C44.C.C3.2C3.2C2.2C3.C$34.C5.C
34.4C8.C4.C4.C2.2C.C.25C$33.C2.CA.3C26.2C3.2C4.C6.6C.4C3.3C3.C23.C$CB
A2CBACBACBA2CBA2CBACBA2CBA2C2.C2.3B.BA26.C2.C.C2.C.C2.C6.C4.C8.C.C.C
12.4C7.3C$30.2C4.C29.C2.3C2.3C.C.C.2C2.C.C3.2C3.2C2.C2.C6.2C3.2C4.C7.
C.C$30.C2.3C.C.24C3.C.C.2C.C.2C.C2.C2.C.C2.C.C.2C.C2.C.C.3C4.C2.C.C2.
C.C2.C5.C3.C$30.C.C5.C24.C.C3.2C3.2C2.2C3.C2.C2.C2.3C.C3.C3.C.C2.C2.
3C2.3C.C.C.2C2.C4.C$31.C2.AB.3A12.4C8.C4.C4.C2.2C.C.3C2.C2.C2.C.C3.C
3.C2.C2.C.C.2C.C.2C.C2.C2.C.C5.15C$31.C.3C.CB6.2C3.2C4.C6.6C.4C3.3C3.
C.2C4.2C7.3C3.C.C3.2C3.2C2.2C3.C2.C20.C$31.C2.C9.C2.C.C2.C.C2.C6.C4.C
8.C.C.C12.4C8.C4.C4.C2.2C.C.3C.C19.3C$32.2C.C.2C4.C2.3C2.3C.C.C.2C2.C
.C3.2C3.2C2.C2.C6.2C3.2C4.C6.6C.4C3.3C3.C.C21.C.44C$36.C2.C3.C.C.2C.C
.2C.C2.C2.C.C2.C.C.2C.C2.C.C.4C3.C2.C.C2.C.C2.C6.C4.C8.C.C.C12.4C7.C$
35.3B2.C.C3.2C3.2C2.2C3.C2.C2.C2.3C.C3.C3.C2.C.C2.3C2.3C.C.C.2C2.C.C
3.2C3.2C2.C2.C6.2C3.2C4.C6.C$35.AC4.C4.C4.C2.2C.C.3C2.C2.C2.C.C3.C3.C
2.C2.C.C.2C.C.2C.C2.C2.C.C2.C.C.2C.C2.C.C.3C4.C2.C.C2.C.C2.C5.C$40.6C
.4C3.3C3.C.2C4.2C7.3C3.C.C3.2C3.2C2.2C3.C3.C.C2.3C.C3.C3.C.C2.C2.3C2.
3C.C.C.2C2.C$35.AC4.C4.C8.C.C.C12.4C8.C4.C4.C2.2C.C.5C3.C2.C.C3.C3.C
2.C2.C.C.2C.C.2C.C2.C2.C.C$35.3B2.C.C3.2C3.2C2.C2.C6.2C3.2C4.C6.6C.4C
3.3C3.C7.2C7.3C3.C.C3.2C3.2C2.2C3.C2.C$36.C2.C3.C.C.2C.C2.C.C.3C4.C2.
C.C2.C.C2.C6.C4.C8.C.C.C12.4C8.C4.C4.C2.2C.C.4C$32.2C.C.2C4.C2.3C.C3.
C3.C.C2.C2.3C2.3C.C.C.2C2.C.C3.2C3.2C2.C2.C6.2C3.2C4.C6.6C.4C3.3C3.C$
31.C2.C9.C2.C.C3.C3.C2.C2.C.C.2C.C.2C.C2.C2.C.C2.C.C.2C.C2.C.C.3C4.C
2.C.C2.C.C2.C6.C4.C8.C.C.C$31.C.3C.CB6.2C7.3C3.C.C3.2C3.2C2.2C3.C2.C
2.C2.3C.C3.C3.C.C2.C2.3C2.3C.C.C.2C2.C.C3.2C3.2C2.C2.C$31.C2.AB.3A21.
C4.C4.C2.2C.C.4C4.C2.C.C3.C3.C2.C2.C.C.2C.C.2C.C2.C2.C.C2.C.C.2C.C2.C
.C.3C$30.C.C5.C21.6C.4C3.3C3.C7.2C7.3C3.C.C3.2C3.2C2.2C3.C3.C.C2.3C.C
3.C3.C.C3.46C$30.C2.3C.C.18C4.C4.C8.C.C.C12.4C8.C4.C4.C2.2C.C.5C3.C2.
C.C3.C3.C2.C2.C$30.2C4.C20.C2.C.C3.2C3.2C2.C2.C6.2C3.2C4.C6.6C.4C3.3C
3.C7.2C7.3C3.C2.C$BA2CBACBACBA2CBA2CBACBA2CBA3C2.C2.3B.BA17.C.C2.C.C.
2C.C2.C.C.3C4.C2.C.C2.C.C2.C6.C4.C8.C.C.C23.C2.C$33.C2.CA.3C17.C3.C2.
3C.C3.C3.C.C2.C2.3C2.3C.C.C.2C2.C.C3.2C3.2C2.C2.C24.C2.C$34.C5.C23.C
2.C.C3.C3.C2.C2.C.C.2C.C.2C.C2.C2.C.C2.C.C.2C.C2.C.C.3C24.C.C$35.3C.C
.22C2.2C7.3C3.C.C3.2C3.2C2.2C3.C2.C2.C2.3C.C3.C3.C.C22.3C$38.C24.C17.
C4.C4.C2.2C.C.4C4.C2.C.C3.C3.C2.C23.C$37.3A23.C16.6C.4C3.3C3.C7.2C7.
3C4.C.21C$38.BC23.C17.C4.C8.C.C.C23.3C$64.17C.C3.2C3.2C2.C2.C25.C$83.
C.C.2C.C2.C.C.27C$83.C2.3C.C3.C3.C$84.C2.C.C3.C3.C$85.2C7.3C!

Edit: 4-tick is the best for this task.

Code: Select all

x = 159, y = 65, rule = WireWorld
31.B2.A$30.A.CB.C$31.C3.C3.2C$31.C.A.B2.C2.C$30.3B2A2.3B.C$31.C.A.2CB
.C2.C$29.2C6.2B.C2.C$28.C10.A4.25C$28.C2.C2.B34.C3.2C.3C$28.C.B.2C.A
32.3C.A.2C3.C$27.C3.A3.C3.3C24.C2.C.BA.C2.C2.C$26.C.C2.C.B.C2.C3.C22.
C.BA3.A3CA.C2.3C$26.C.C.3C2B2.3C2.C23.A2.C.BA.C2.B6.C$26.C.C2.C.B.A2C
.C2.C25.3C.A.2C7.3C$26.C2.2C6.2C.A2.18C8.C3.2C.C7.C.C$26.C12.B21.C3.
2C.C8.C3.2C.C2.C$26.C4.C2.C25.3C.A.2C8.3C.A.2C4.C$26.C3.C.AC.B22.C2.C
.BA.C2.C4.C2.C.BA.C2.C3.3C$CBA4CBACBA4CBACBACBA2C5.B3.A3.3C15.C.BA3.A
3CA.C2.C.BA3.A3CA.C5.C$26.C4.A.C.C2.C3.C15.A2.C.BA.C2.B4.A2.C.BA.C2.B
5.3C$26.C3.5C2.3C2.C17.3C.A.2C8.3C.A.2C8.C.C$26.C4.C.C.BAC.A2.C7.3C8.
C3.2C.C8.C3.2C.C7.C2.C$26.C2.2C6.2C.B.C6.C3.C3.2C.C8.C3.2C.C8.C3.2C.C
3.C$26.C.C10.C3.6C3.3C.A.2C8.3C.A.2C8.3C.A.2C5.3C$26.C.C2.A2.C15.C2.C
.BA.C2.C4.C2.C.BA.C2.C4.C2.C.BA.C2.C6.C$26.C.C.C.BA.C13.C.BA3.A3CA.C
2.C.BA3.A3CA.C2.C.BA3.A3CA.C4.60C$27.C3.C3.B3.8C3.A2.C.BA.C2.B4.A2.C.
BA.C2.B4.A2.C.BA.C2.B6.C$28.C2.B.C.A2.C8.C4.3C.A.2C8.3C.A.2C8.3C.A.2C
8.C$28.C.3A2C2.3A6.C6.C3.2C.C8.C3.2C.C8.C3.2C.C7.C$28.C2.C.C.CBA.B5.C
3.2C.C8.C3.2C.C8.C3.2C.C8.C3.2C.C$29.2C6.2A.C3.3C.A.2C8.3C.A.2C8.3C.A
.2C8.3C.A.2C$39.C2.C2.C.BA.C2.C4.C2.C.BA.C2.C4.C2.C.BA.C2.C4.C2.C.BA.
C2.C$41.C.BA3.A3CA.C2.C.BA3.A3CA.C2.C.BA3.A3CA.C2.C.BA3.A3CA.C$39.C2.
A2.C.BA.C2.B4.A2.C.BA.C2.B4.A2.C.BA.C2.B4.A2.C.BA.C2.B$29.2C6.2A.C3.
3C.A.2C8.3C.A.2C8.3C.A.2C8.3C.A.2C$28.C2.C.C.CBA.B5.C3.2C.C8.C3.2C.C
8.C3.2C.C8.C3.2C.C$28.C.3A2C2.3A6.C6.C3.2C.C8.C3.2C.C8.C3.2C.C7.C$28.
C2.B.C.A2.C8.C4.3C.A.2C8.3C.A.2C8.3C.A.2C8.C$27.C3.C3.B3.8C3.C2.C.BA.
C2.C4.C2.C.BA.C2.C4.C2.C.BA.C2.C6.C$26.C.C.C.BA.C13.C.BA3.A3CA.C2.C.B
A3.A3CA.C2.C.BA3.A3CA.C4.60C$26.C.C2.A2.C15.A2.C.BA.C2.B4.A2.C.BA.C2.
B4.A2.C.BA.C2.B6.C$26.C.C10.C3.6C3.3C.A.2C8.3C.A.2C8.3C.A.2C5.3C$26.C
2.2C6.2C.B.C6.C3.C3.2C.C8.C3.2C.C8.C3.2C.C3.C$26.C4.C.C.BAC.A2.C7.3C
8.C3.2C.C8.C3.2C.C7.C2.C$26.C3.5C2.3C2.C17.3C.A.2C8.3C.A.2C8.C.C$26.C
4.A.C.C2.C3.C15.C2.C.BA.C2.C4.C2.C.BA.C2.C5.3C$CBACBA3CBA7CBA2CBA2C5.
B3.A3.3C15.C.BA3.A3CA.C2.C.BA3.A3CA.C5.C$26.C3.C.AC.B22.A2.C.BA.C2.B
4.A2.C.BA.C2.B3.3C$26.C4.C2.C25.3C.A.2C8.3C.A.2C4.C$26.C12.B21.C3.2C.
C8.C3.2C.C2.C$26.C2.2C6.2C.A2.18C8.C3.2C.C7.C.C$26.C.C2.C.B.A2C.C2.C
25.3C.A.2C7.3C$26.C.C.3C2B2.3C2.C23.C2.C.BA.C2.C6.C$26.C.C2.C.B.C2.C
3.C22.C.BA3.A3CA.C2.3C$27.C3.A3.C3.3C24.A2.C.BA.C2.B2.C$28.C.B.2C.A
32.3C.A.2C3.C$28.C2.C2.B34.C3.2C.3C$28.C10.A4.25C$29.2C6.2B.C2.C$31.C
.A.2CB.C2.C$30.3B2A2.3B.C$31.C.A.B2.C2.C$31.C3.C3.2C$30.A.CB.C$31.B2.
A!