The Banks-IV Project

Redstoneboi · Post by **Redstoneboi** » July 27th, 2025, 1:45 pm

So. I heard this rule is Turing Complete and capable of constructing anything that doesn't contain a tub.
That means it's capable of self replication, isn't it?

The goal? Linear propagator.
The challenge? This is the construction arm:

Code: Select all

x = 1106, y = 47, rule = Banks-IV
1026.3C$1026.C.C$1027C.3C$55.BA15.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA
13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA6.BA15.BA3.BA19.BA3.BA17.BA3.BA
15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA12.BA11.BA3.BA15.BA3.B
A13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA14.BA11.BA3.BA15.BA3.BA13.BA3.
BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA8.BA9.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA
7.BA3.BA5.BA10.BA19.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.
BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA14.BA4.C2.C$1027C.3C$1026.C.C
$1026.C.C$1026.C.2C$1025.2C.C$1027.C$1027.C$1027.C$1027.C$1027.CA45.
3C17.3C$1027.A46.C.C17.C.C$1027.C44.3C.19C.3C$1027.C44.C2.C19.C2.C$
1027.C44.3C.19C.3C$1027.CA45.C.C17.C.C$1027.A22.3C5.3C13.C.C3.3C5.3C
3.C.C$1027.C22.C.C5.C.C13.C.C3.C.C5.C.C3.C.C$1027.C20.3C.7C.3C11.C.C.
3C.7C.3C.C.C$1027.C20.C2.C7.C2.C11.C.C.C2.C7.C2.C.C.C$1027.C12.C7.3C.
7C.3C.3C7.C.C.3C.7C.3C.C.C$1027.C11.3C8.C.C5.C.C3.C.C7.C.C3.C.C5.C.C
3.C.C$1027.C13.10C.3C.3C.5C.9C.5C.3C.3C.5C.10C$1027.C23.C2.C.C2.C5.C
9.C5.C2.C.C2.C5.C9.C$1027.C13.10C.7C.5C.9C.5C.7C.5C.10C$1027.7CA.2C2.
2C8.C.3C.3C.C3.C.C7.C.C3.C.3C.3C.C3.C.C$1027.C12.C7.3C.3C.9C.3C3.3C.
9C.3C.3C.3C$1027.C20.C2.C3.C9.C2.C3.C2.C9.C3.C2.C$1027.C20.3C.3C.9C.
3C3.3C.9C.3C.3C$1027.C22.C.C.C.C7.C.C7.C.C7.C.C.C.C$1027.C22.3C.3C7.
3C7.3C7.3C.3C$1027.C$1027.C$1027.C$1027.A$1025.2CBA$1026.C.2C$1026.C.
C$1026.C.C$1027CA3C$45.BA15.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.B
A11.BA3.BA9.BA3.BA7.BA3.BA5.BA14.BA15.BA3.BA19.BA3.BA17.BA3.BA15.BA3.
BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA6.BA11.BA3.BA15.BA3.BA13.BA3.
BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA12.BA11.BA3.BA15.BA3.BA13.BA3.BA11.BA
3.BA9.BA3.BA7.BA3.BA5.BA14.BA9.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.
BA5.BA8.BA19.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA
3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA10.BA14.BA.C$1027CA3C$1026.C.C$1026.
3C!

Whew.

Alright, on with the basics:

Here's a stamp collection of the tightest optimizations I could get out of the most elementary logic gates:
- Diode
- XOR
- ANDNOT
- Crossings
as well as some insights I got about timing circuitry:

Code: Select all

x = 475, y = 205, rule = Banks-IV
179.C2.C3.2C4.2C2.3C2.2C.3C2.2C.2C3.2C$178.C.C.C3.C.C3.C.C.C3.C4.C2.C
3.C.C.C$178.C.C.C3.C.C3.C.C.2C3.C3.C2.C.C.C.C2.C$63.C.C.3C.2C3.2C.3C
96.C.C.C3.C.C3.C.C.C5.C2.C2.C.C.C.C3.C$63.3C.C3.C.C.C3.C99.C2.3C.2C4.
2C2.3C.2C2.3C2.2C.C.C.2C$63.C.C.2C2.2C2.C.C.2C$63.C.C.C3.C.C.C.C.C$
63.C.C.3C.C.C2.2C.3C5$58.3C.3C13.3C.3C108.3C3.3C$58.C.C.C.C13.C.C.C.C
108.C.C3.C.C$56.3C.3C.3C9.3C.3C.3C104.3C.5C.3C$56.C2.C3.C2.C9.C2.C3.C
2.C104.C2.C5.C2.C$56.3C.3C.3C9.3C.3C.3C104.3C.5C.3C$58.C.3C.6C8.C.3C.
6C97.7C.5C.7C$58.C.C2.C14.C.C2.C3.AB99.BA4.C2.C2.C$52.7C.3C.6C2.7C.3C
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106.C2.C5.C2.C$56.3C.3C.3C9.3C.3C.3C104.3C.5C.3C$56.C2.C3.C2.C9.C2.C
3.C2.C106.C.C3.C.C$56.3C.3C.3C9.3C.3C.3C106.3C3.3C$58.C.C.C.C13.C.C.C
.C$58.C.C.3C13.C.C.3C$58.C.C17.C.C$58.C.C17.C.C$58.CBC17.CBC$58.CBC
17.CBC$58.C.C17.C.C6$62.2C2.3C2.C2.2C2.3C$62.C.C2.C2.C.C.C.C.C$62.C.C
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53.BA4.C2.C.2C.C8.C.2C.C2.C85.10C.5C.2C.10C.2C.5C.10C$49.10C.4C.C.C8.
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3.C.C2.C2.2C2.C4.C4.C$56.C2.C2.C3.C2.C4.C2.C3.C2.C2.C89.3C.2C.5C.3C4.
3C.5C.2C.3C59.C3.C3.C.C3.C.C3.C4.C5.C2.C$56.3C.2C.3C.3C4.3C.3C.2C.3C
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27C$307.3C.2C.C$307.C2.C2.2C$307.3CA3C$309.CBC$64.C.C2.C2.2C235.C.C$
64.C.C.C.C.C.C234.C.C3.C2.2C2.2C2.3C.C.C.3C.C4.C2.3C.3C$65.C2.C.C.2C
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.2C$40.5C.2C.2C.C8.5C.2C.2C.C8.5C.2C.2C.C85.C.3C.3C.C14.C.3C.3C.C93.C
AC$41.BA2.C2.3C.C13.C2.3C.C9.BA2.C2.3C.C79.7C.7C.7C2.7C.7C.7C87.CBC$
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$42.3C.2C.2C.3C8.3C.2C.2C.3C8.3C.2C.2C.3C81.3C.3C.3C.3C10.3C.3C.3C.3C
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.C.C.C.C.C14.C.C.C.C.C.C93.CBC$44.4C.4C12.4C.4C12.4C.4C85.3C.C.C.3C
14.3C.C.C.3C93.C.C$47.C.C18.C.C18.C.C92.C.C22.C.C97.C.C$47.C.C18.C.C
18.C.C92.C.C22.C.C97.C.C$47.C.C18.C.C18.C.C92.C.C22.C.C97.C.C$47.C.C
18.C.C18.C.C92.C.C22.C.C97.C.C$47.CBC18.CBC18.CBC92.CBC22.CBC97.CAC$
47.CBC18.CBC18.CBC92.CBC22.CBC97.CBC$47.C.C18.C.C18.C.C92.C.C22.C.C
97.C.C2$392.C2.C.C.3C.2C2.3C2.C2.C.C.3C2.2C$391.C.C.C.C.C3.C.C2.C2.C.
C.C.C.C3.C$391.C.C.C.C.2C2.2C3.C2.3C.2C2.2C3.C$391.C.C.C.C.C3.C.C2.C
2.C.C.C.C.C5.C$392.C3.C2.3C.C.C2.C2.C.C.C.C.3C.2C3$356.2C3.C3.C3.2C.
3C2.2C4.C5.2C.3C2.2C.2C3.C2.C5.2C2.C.C4.C5.2C.3C.3C4.C2.C.C2.C2.C.C.
2C2.3C$356.C.C.C.C.C.C.C4.C2.C5.C.C3.C4.C2.C3.C.C.C.C.C5.C.C.C.C3.C.C
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C.C.C.C.3C.C5.2C3.C4.3C4.C2.2C3.C4.3C.C.C.C.C.C.C.C.C2.C$56.C2.2C2.2C
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4.C.C5.C.C4.C4.C.C.C.C.C.C.C.C.C.C2.C$55.C.C.C.C.C.C.C.C.C.C2.C279.2C
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.C2.C$55.C.C.C.C.2C2.C.C2.C3.C4$363.3C43.C.C43.3C$23.3C2.3C32.3C2.3C
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40.3C6.C2.3C2.2C.C.C3.2C2.3C.3C.C.C2.C$23.C.4C.8C25.C.4C.8C25.C.4C.8C
57.C.2C.2C.C21.C.2C.2C.C21.C.2C.2C.C$23.C.C3.C5.AB26.C.C3.C5.AB26.C.C
3.C51.15C.5C.7C.15C.5C.7C.15C.5C.7C107.3C3.3C37.3C3.3C37.3C3.3C$24C.
4C.8C2.24C.4C.8C2.24C.4C.8C44.BA12.C2.C2.C4.2B3.BA12.C2.C2.C4.AB3.2B
12.C2.C2.C4.AB58.3C47.C.C3.C.C37.C.C3.C.C37.C.C3.C.C$.BA21.C3.C.2C.C
30.C3.C.2C.C7.BA21.C3.C.2C.C47.15C.5C.7C.15C.5C.7C.15C.5C.7C57.C.C45.
3C.5C.3C33.3C.5C.3C33.3C.5C.3C$24C.4C.2C.C6.24C.4C.2C.C6.24C.4C.2C.C
61.C.2C.2C.2C.C18.C.2C.2C.2C.C18.C.2C.2C.2C.C53.8C.17C29.C2.C5.C2.C
33.C2.C5.C2.C33.C2.C5.C2.C$21.3C.4C.2C.3C25.3C.4C.2C.3C25.3C.4C.2C.3C
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.17C23.9C.5C.18C12.9C.5C.18C12.9C.5C.18C$21.3C.4C.2C.3C25.3C.4C.2C.3C
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.C40.BA6.C2.C2.C15.AB16.BA4.C2.C2.C15.AB20.BAC2.C2.C15.AB$23.C.2C.C.
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C2.C5.C2.C$21.3C.2C.4C.3C25.3C.2C.4C.3C25.3C.2C.4C.3C60.3C.2C.2C.3C
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C2.C2.C2.C51.26C31.C.C3.C.C37.C.C3.C.C37.C.C3.C.C$23.4C.C2.3C29.4C.C
2.3C29.4C.C2.3C62.3C.2C.2C.3C17.3C.2C.2C.3C17.3C.2C.2C.3C53.BA21.C31.
3C3.C.C37.3C3.C.C37.3C3.C.C$26.C.C37.C.C37.C.C69.C.2C.2C.C21.C.2C.2C.
C21.C.2C.2C.C53.26C37.C.C43.C.C43.C.C$26.C.C37.C.C37.C.C69.4C.4C21.4C
.4C21.4C.4C116.C.C43.C.C43.C.C$26.C.C37.C.C37.C.C72.C.C27.C.C27.C.C
119.C.C43.C.C43.C.C$26.C.C37.C.C37.C.C72.C.C27.C.C27.C.C119.C.C43.C.C
43.C.C$26.C.C37.C.C37.C.C72.C.C27.C.C27.C.C119.3C43.3C43.3C$26.C.C37.
C.C37.C.C72.C.C27.C.C27.C.C$26.CBC37.CBC37.CBC72.C.C27.C.C27.C.C$26.C
BC37.CBC37.CBC72.C.C27.C.C27.C.C$26.C.C37.C.C37.C.C72.C.C27.C.C27.C.C
$181.C.C27.C.C27.C.C$181.C.C27.C.C27.C.C$181.CBC27.CBC27.CBC$181.CBC
27.CBC27.CBC$181.C.C27.C.C27.C.C$358.C.3C36.3C.3C$358.C.C40.C3.C$354.
3C.C.3C32.3C.3C.3C$358.C.C.C38.C.C$358.C.3C36.3C.3C3$357.3C3.3C32.3C
8.3C$357.C.C3.C.C32.C.C8.C.C$355.3C.5C.3C28.3C.10C.3C$59.2C.2C3.C3.2C
2.2C.3C.2C3.2C266.C2.C5.C2.C28.C2.C10.C2.C$58.C3.C.C.C.C.C3.C4.C2.C.C
.C268.3C.5C.3C28.3C.10C.3C$58.C3.2C2.C.C2.C3.C3.C2.C.C.C.C260.9C.5C.
12C13.9C.3C4.3C.24C$58.C3.C.C.C.C3.C3.C2.C2.C.C.C.C267.BAC2.C2.C9.AB
21.BAC2.C4.C2.C20.AB$59.2C.C.C2.C2.2C2.2C2.3C.C.C2.2C260.9C.5C.12C13.
9C.3C4.3C.24C$355.3C.5C.3C28.3C.10C.3C$355.C2.C5.C2.C28.C2.C10.C2.C$
355.3C.5C.3C28.3C.10C.3C$357.C.C3.C.C32.C.C8.C.C$45.9C13.9C13.9C74.3C
.3C.3C16.3C.3C.3C147.C.C3.3C32.C.C8.3C$45.C.2C.2C.C13.C.2C.2C.C13.C.
2C.2C.C74.C.C.C.C.C.C16.C.C.C.C.C.C147.C.C38.C.C$43.3C.2C.2C.3C9.3C.
2C.2C.3C9.3C.2C.2C.3C70.3C.3C.3C.3C12.3C.3C.3C.3C145.C.C38.C.C$43.C2.
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3C12.3C.3C.3C.3C145.C.C38.C.C$45.C.2C.2C.C13.C.2C.2C.C13.C.2C.2C.C74.
C.3C.3C.C16.C.3C.3C.C147.3C38.3C$45.C.2C.2C.5C9.C.2C.2C.5C9.C.2C.2C.
5C63.8C.7C.8C2.8C.7C.8C$45.C.3C2.C2.AB10.C.3C2.C14.C.3C2.C2.AB68.BA2.
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8C2.8C.7C.8C$46.C2.3C.C8.BA4.C2.3C.C8.BA4.C2.3C.C70.C.3C.3C.3C.3C.C8.
C.3C.3C.3C.3C.C$39.7C.2C.2C.4C4.7C.2C.2C.4C4.7C.2C.2C.4C65.3C.3C.3C.
3C.3C.3C4.3C.3C.3C.3C.3C.3C$42.C.2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C7.C.2C
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C2.C2.C2.C65.C.C.C.C.C.C.C.C.C.C8.C.C.C.C.C.C.C.C.C.C$40.3C.2C.2C.2C.
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3C.C.C.3C.C.C$42.C.2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C67.
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5C.5C.C65.3C.3C.3C.3C.3C.3C4.3C.3C.3C.3C.3C.3C$42.C.2C.2C.2C.2C.C7.C.
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3C.3C.3C.3C.3C4.3C.3C.3C.3C.3C.3C$40.C2.C2.C2.C2.C2.C2.C3.C2.C2.C2.C
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.C.C$40.3C.2C.2C.2C.2C.3C3.3C.2C.2C.2C.2C.3C3.3C.2C.2C.2C.2C.3C65.3C.
C.C.3C.C.C.3C8.3C.C.C.3C.C.C.3C$42.C.2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C7.
C.2C.2C.2C.2C.C71.C.C5.C.C16.C.C5.C.C$42.4C.5C.4C7.4C.5C.4C7.4C.5C.4C
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45.C.C3.C.C13.C.C3.C.C13.C.C3.C.C74.C.C5.C.C16.C.C5.C.C$45.C.C3.C.C
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13.C.C3.C.C13.C.C3.C.C74.C.C5.C.C16.C.C5.C.C!

Also to make things easier to work with, here's a rough emulation of Banks-IV but as a wired rule instead of a sheathed rule.
It's a bit stricter than the real rule, but you can guarantee that most (if not all) emulated circuits are compatible:

Code: Select all

x = 217, y = 157, rule = Banks-IV-Emulated
89.2C2.3C.2C3.C2.2C2.C.C$89.C.C2.C2.C.C.C.C.C.C.C.C$89.2C3.C2.C.C.3C.
2C3.C$89.C.C2.C2.C.C.C.C.C.C2.C$89.2C2.3C.C.C.C.C.C.C2.C2$90.2C2.C2.C
.C.2C2.3C.3C.2C3.2C$89.C3.C.C.C.C.C.C2.C2.C3.C.C.C$89.C3.C.C.C.C.C.C
2.C2.2C2.2C3.C$89.C3.C.C.C.C.C.C2.C2.C3.C.C3.C$90.2C2.C3.2C.C.C2.C2.
3C.C.C.2C7$109.7C21.7C$109.C5.C21.C5.C$78.15C5.C10.2C2.7C6.C10.2C2.7C
$78.C13.C4.3C10.C2.C3.C.C5.3C10.C2.C3.C.C$78.9CBA9C.3C7.2C2.5C.7C.3C
7.2C2.5C.4C$95.C.3C.C7.C5.C.C.C3.C.3C.C7.C5.C.C.C$95.C2.C2.C7.C2.4C.
3C3.C2.C2.C7.C2.4C.3C$95.C2.4C.3C3.C2.C2.C7.C2.4C.3C3.C2.C2.C$95.C5.C
.C.C3.C.3C.C7.C5.C.C.C3.C.3C.C$95.2C2.5C.7C.3C7.2C2.5C.7C.3C$96.C2.C
3.C.C5.3C10.C2.C3.C.C5.3C$95.2C2.7C6.C10.2C2.7C6.C$95.C5.C21.C5.C$95.
7C21.7C8$108.8C20.8C$108.C6.C20.C6.C$78.15C5.C9.4C.7C6.C9.4C.7C$78.C
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4C$97.3C.C6.C6.C.C.C5.3C.C6.C6.C.C.C$95.C2.C2.C6.8C.3C3.C2.C2.C6.8C.
3C$94.8C.3C3.C2.C2.C6.8C.3C3.C2.C2.C$94.C6.C.C.C5.3C.C6.C6.C.C.C5.3C.
C$94.4C.5C.7C.3C6.4C.5C.7C.3C$97.C.C3.C.C5.3C11.C.C3.C.C5.3C$94.4C.7C
6.C9.4C.7C6.C$94.C6.C20.C6.C$94.8C20.8C4$47.A8C$59.2C2.3C.C4.C2.C.C$
51.C7.C.C.C3.C3.C.C.C.C$47.A8C3.C.C.2C2.C3.3C2.C$59.C.C.C3.C3.C.C2.C$
59.2C2.3C.3C.C.C2.C2$38.3C7.3C8.2C2.3C2.C2.2C2.3C$38.C.C7.C.C8.C.C2.C
2.C.C.C.C.C71.2C2.3C.C.C.C.C.C.C$33.A5C.9C.6C3.C.C2.C2.C.C.C.C.2C70.C
.C.C3.3C.C.C.C.C$38.C3.C3.C3.C8.C.C2.C2.C.C.C.C.C71.C.C.2C2.C.C.C.C2.
C$38.5C3.5C8.2C2.3C2.C2.2C2.3C40.3C.2C2.2C2.C.C.3C10.C.C.C3.C.C.C.C.C
.C$40.C7.C70.C2.C.C.C.C.C.C2.C11.2C2.3C.C.C2.2C.C.C$119.C2.C.C.2C2.C.
C2.C.4C$26.C11.C11.C8.C.C2.C2.2C50.C2.C.C.C3.C.C2.C4.C$25.3C9.3C9.3C
7.C.C.C.C.C.C48.3C.C.C.C4.2C2.C4.C38.2C.3C.C8.3C$21.A4C.4CA.5C.4CA.A
4C.5C4.C2.C.C.2C71.BA10CBA7C17.C3.C3.C8.C.C$25.3C9.3C9.3C7.C.C.C.C.C.
C90.C18.C2.2C2.C2.A6C.3C10.3C.2C$26.C11.C11.C8.C.C2.C2.C.C86.3C.C19.C
.C3.C8.C.C.C11.C2.C.C$26.C11.C11.C105.C.C.C17.2C2.3C.3C4.5C.9CA2.C2.C
.C$26.C11.C11.C89.3CBA4CBA6C.3C32.C3.C.C11.C2.C.C$26.C11.C11.C64.2C.
3C.C3.3C2.2C.3C3.C15.C.C.C32.5C.C10.3C.C.C$26.C11.C11.C63.C3.C3.C3.C
3.C4.C4.C13.5C.C34.C3.C$115.C2.2C2.C3.2C2.C4.C2.3C13.C3.C.C22.13C3.C$
99.C16.C.C3.C3.C3.C4.C18.5C.5C18.C11.C3.C$3.3C16.3C16.3C16.C2.2C2.2C
2.2C3.C2.3C16.3C13.2C2.3C.3C.3C2.2C2.C20.C2.C4.C18.C10.3C.2C$3.C.C16.
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12CA.4C.12CA.A3C.13C3.3C.C.C.C.C.C.C.C.C2.C4.A13C.3CA52.3C.5C18.C5.C
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C5.C3.C$.5C14.5C14.5C15.C.C.C.C.2C2.C.C2.C3.C17.4C54.C2.C35.5C$.C3.C
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$3.C18.C18.C58.C55.C2.C22.2C5.C$3.C18.C18.C58.C55.C2.C22.C6.C$3.C18.C
18.C58.C43.13C2.8C15.C6.C$3.C18.C18.C58.C43.C21.C$22.C18.C58.C43.C21.
C2$134.C2.2C2.2C2.2C3.C2.3C6.C2.2C2.2C$38.C11.C82.C.C.C.C.C.C.C.C.C.C
2.C6.C.C.C.C.C.C$37.3C9.3C8.2C.2C3.C3.2C2.2C.3C.2C3.2C43.3C.C.C.C.C.C
.C.C.C2.C6.3C.C.C.C.C$37.C.C9.C.C7.C3.C.C.C.C.C3.C4.C2.C.C.C45.C.C.C.
C.C.C.C.C.C.C2.C6.C.C.C.C.C.C$33.A4C.4CA.A4C.5C3.C3.2C2.C.C2.C3.C3.C
2.C.C.C.C43.C.C.C.C.2C2.C.C2.C3.C6.C.C.C.C.2C$37.C.C9.C.C7.C3.C.C.C.C
3.C3.C2.C2.C.C.C.C$36.5C7.5C7.2C.C.C2.C2.2C2.2C2.3C.C.C2.2C$36.C.C.C
7.C.C.C$36.5C7.5C$37.C.C9.C.C$37.C.C9.C.C$37.C.C9.C.C$37.C.C9.C.C13$
101.55F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$
101.F53.F$101.F17.3B.2B2.2B3.B2.2B18.F$101.F17.B3.B.B.B.B.B.B.B.B17.F
$101.F17.2B2.2B2.2B2.B.B.2B18.F$101.F17.B3.B.B.B.B.B.B.B.B17.F$101.F
17.3B.B.B.B.B2.B2.B.B17.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$
101.F53.F$101.F53.F$101.F17.3CBA9CAB3C17.F$101.F53.F$101.F53.F$101.F
53.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$101.
F53.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$101.F53.F$
101.F53.F$101.F53.F$101.55F!


@RULE Banks-IV-Emulated

2025-07-28

@TABLE
n_states:7
neighborhood:vonNeumann
symmetries:rotate4reflect

var a={0,1,2,3,4,5,6}
var b=a
var c=a
var d=a

var I={2,3}
var J=I

var W={1,2,3}
var X={1,2,3}

# wall
6 a,b,c,d 6

# error
3 2,1,2,d 5
4 1,b,c,d 5
1 1,b,c,d 5

# splitter
3 1,W,1,d 3
3 1,1,c,d 1
3 1,I,c,d 4
3 1,I,c,d 4
2 4,b,c,d 2
4 a,b,c,d 1
2 I,J,c,d 3

# error
3 1,b,1,d 5
a 5,b,c,d 5

# wire
1 a,b,c,d 2
2 a,b,c,d 3
3 1,b,c,d 1

@COLORS
1 255 000 000
2 255 128 000
3 255 255 000
4 255 000 255
5 000 255 255
6 128 128 128

As for the construction arm, we'll need some sort of system that can send volleys of 4 "rectangularly-timed" signals.
Unfortunately, this makes the DNA the really inefficient sort of rocket fuel for us.
The amount of time required to construct an object is at best O(f^3 * w) where d is proportional to the forward length of the object and w is its width. It's very much infeasible to even attempt building a loop that quickly. We'll have to use computation. (EDIT: incorrect, there are ways™)

For a tape-based universal constructor:
There will be 2 timers: One to select the Y-axis and one for the X-axis.
If X is timed late, it will send a normal "extend" signal. If it's timed perfectly, it becomes a "place" signal instead.
The timing must be digitally adjustable down to 2-tick precision on either axis.
My main idea for this is to have this setup:
Computer -> Micro-Delayer (can delay any even number between 0 to 62 ticks) -> 64-tick clock -> binary counters -> send signal, deactivate clock
This allows for an O(log N) amount of memory needed to construct something of width N.

Here are the missing components:
* Delayer
* Micro delayer
* Demux+crossover combo (assembling required)
* Clock /
* Binary Counter /
* Computer
* Architecture: 2 instruction set computer, Subtract/Jump for simplicity. hopefully 16-bit: 1 bit opcode, 15 bit address
* RAM
* Binary registers
* Mux/Demux
* Adder/Subtractor (note that I plan on the CPU only using subtraction)
* Memory Map a register to the construction command

Redstoneboi · Post by **Redstoneboi** » July 27th, 2025, 4:18 pm

Here's a Demux and a Delayer module made from a crossover+andnot+booster that goes up to +32 and should be easily extensible to other values:

Code: Select all

x = 300, y = 243, rule = Banks-IV
130.2C2.3C.C.C.C.C.C.C$130.C.C.C3.3C.C.C.C.C$130.C.C.2C2.C.C.C.C2.C$
130.C.C.C3.C.C.C.C.C.C$130.2C2.3C.C.C2.2C.C.C8$93.C.C42.C.C42.C.C$93.
C.C42.C.C42.C.C$93.C.C42.C.C42.C.C$93.C.C42.C.C42.C.C$93.C.C42.C.C42.
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42.C.C42.C.C$93.C.C42.C.C42.C.C$93.C.C42.C.C42.C.C$93.C.C42.C.C42.C.C
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Redstoneboi · Post by **Redstoneboi** » July 29th, 2025, 1:58 pm

ok so islptng and I have determined that it's possible to create a loop replicator. with these, the conditional delayer mechanisms won't be needed. though a pure tape based replicator might be interesting too.

how to attach parent to child (zoom right, i don't know how to set the default camera position):

Code: Select all

# [[ MAXGRIDSIZE 14 ]]
x = 10441, y = 45, rule = Banks-IV
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3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA
11.BA3.BA9.BA3.BA7.BA3.BA5.BA8.BA29.BA3.BA33.BA3.BA31.BA3.BA29.BA3.BA
27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA
3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA31.BA3.BA35.BA3.BA33.BA3.BA31.BA
3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA
15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA8.BA31.BA3.BA35.BA3.BA
33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA
3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA33.BA
3.BA37.BA3.BA35.BA3.BA33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA
23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.
BA7.BA3.BA5.BA8.BA33.BA3.BA37.BA3.BA35.BA3.BA33.BA3.BA31.BA3.BA29.BA
3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA
13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA35.BA3.BA39.BA3.BA37.BA3.BA
35.BA3.BA33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA
3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA
8.BA35.BA3.BA39.BA3.BA37.BA3.BA35.BA3.BA33.BA3.BA31.BA3.BA29.BA3.BA
27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA
3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA2.C2.C$10317C.3C12.C$10316.C.C14.C$
10316.3C12.C.C$10331.C.C$10331.C.C$10331.C.C$10331.C.C$10331.C.C$
10329.3C.3C$10329.C2.C2.C$10329.3C.3C$10331.C.C$10331.3C!

tbis allows us to build longer construction arms:

Code: Select all

x = 167, y = 107, rule = Banks-IV
43.C20.C20.C20.C20.C$42.3C18.3C18.3C18.3C18.3C$41.C.C.C16.C.C.C16.C.C
.C16.C.C.C16.C.C.C$43.C20.C20.C20.C20.C$43.C20.C20.C20.C20.C2$15.3A
130.3C$15.A.A2.A124.C2.C.C$13.3A.5A122.5C.3C$13.A2.A5.106A16C5.C2.C$
13.3A.5A122.5C.3C5.7C$15.A.A3.A122.C3.C.C7.C5.C$15.A.A130.C.C7.C.2C2.
C$15.A.A130.C.C7.C3.C.C$15.A.A130.C.C7.C2.C2.C$15.A.A130.C.C7.C3.C.C$
15.A.A130.C.C7.C.2C2.C$15.A.A130.C.C7.C5.C$13.3A.105A27C.3C5.7C$13.A
2.A132.C2.C$13.3A.103A29C.3C$15.A.A130.C.C$15.3A130.3C4$115.A$44.7C
37.3A23.3A$44.C5.C37.A.A22.A.A.A$44.C2.C2.C16.A.A.2A.15A.3A22.A3.C$
44.C.2C2.C38.A2.A22.A2.3C$44.C2.C2.C16.A.A.2A.15A.3A24.C.C.C$44.C2.C
2.C37.A.A28.C$44.C.3C.C37.A.A28.C$44.C5.C25.3A9.A.A$44.7C25.A.A9.A.A$
67.A.A.2A.3A.3A7.A.A$77.A2.A7.A.A$67.A.A.2A.3A.3A7.A.A$76.A.A9.A.A$
76.A.A9.A.A$76.A.2A8.A.A$75.2A.A9.A.A$77.A10.A.A$77.A10.A.A45.C10.C$
77.A10.A.A44.3C8.3C$77.A10.B.A43.C.C.C6.C.C.C$77.A10.B.A45.C10.C$77.A
10.B.B45.C10.C$77.A10.B.B71.3B$77.A3.B6.B.B8.B59.B2.B.B$77.A4.B3.3B.
11B57.5B.3B$77.A.5B2.B2.B11.57B5.B2.B$77.A4.B3.3B.11B57.5B.3B$77.A3.B
6.B.B9.B57.B3.B.B$77.A10.3B71.B.B$77.A84.B.B$77.A84.B.B$77.A84.B.B$
77.A10.3B71.B.B$77.A10.B.B71.B.B$77.A8.3B.73B.3B$77.A8.B2.B73.B2.B$
77.A8.3B.73B.3B$77.A10.B.B71.B.B$77.A10.B.B71.3B$77.A10.B.B53.7C$77.A
10.B.A53.C5.C$77.A10.B.A53.C.2C2.C$77.A10.A.A53.C3.C.C$77.A10.A.A53.C
2.C2.C$77.A10.A.A53.C.C3.C$75.2A.A9.A.A53.C.3C.C$76.A.2A8.A.A53.C5.C$
76.A.A9.A.A53.7C$76.A.A9.A.A$67.A.A.2A.3A.3A7.A.A$77.A2.A7.A.A$67.A.A
.2A.3A.3A7.A.A$76.A.A9.A.A$76.3A9.A.A$88.A.A$88.A.A$16.A22.A20.A6.A.A
.2A.15A.3A4.A29.A$15.3A20.3A18.3A27.A2.A3.3A27.3A$14.A.A.A18.A.A.A16.
A.A.A4.A.A.2A.15A.3A2.A.A.A25.A.A.A$16.A22.A20.A27.A.A6.A29.A$16.A22.
A20.A27.3A6.A29.A3$2.3C130.3C$2.C.C2.C124.C2.C.C$3C.5C122.5C.3C$C2.C
5.122C5.C2.C$3C.5C122.5C.3C$2.C.C3.C122.C3.C.C$2.C.C130.C.C$2.C.C130.
C.C$2.C.C130.C.C$2.C.C130.C.C$2.C.C130.C.C$2.C.C130.C.C$3C.132C.3C$C
2.C132.C2.C$3C.132C.3C$2.C.C130.C.C$2.3C130.3C!

alongside our obscenely long loop, we can strap a comically wide construction arm to construct 99% of another comically wide construction arm, then have it build the left endpoints, and the logic circuitry (including the construction arm widener) underneath.
the process is O(n) with respect to the width, surprisingly.
here are some possible ways we can use clocks to construct the child loop layer by layer:

Code: Select all

x = 74, y = 88, rule = Sticky
39.7A$38.A7.A$39.A5.A11$8.A63.A$7.ABC3.BC3.BC3.BC3.BC29.CB.CB.CB.CB.C
BA$40.5A2$29.A21.A$7.ACB3.CB3.CB3.CB3.CBA19.ABC.BC.BC.BC.BC8.A$8.A63.
A3$8.BC3.BC3.BC3.BC3.BCA19.A8.CB.CB.CB.CB.CB$29.A21.A8$39.7A$38.A7.A$
39.A5.A11$8.A12.A29.A20.A$7.ABC3.BC3.BC3.BC3.BC29.CB.CB.CB.CB.CBA$21.
A18.5A6.A$7.ACB.CB.CB.CB.CBA27.ABC3.BC3.BC3.BC3.BCA$8.A63.A$BC3.BC3.B
C3.BC3.BCA27.ACB.CB.CB.CB.CB$8.A12.A29.A15$11.40A$13.3A3.3A3.3A3.3A3.
3A3.3A3.2A$11.2A.A.3A.A.3A.A.3A.A.3A.A.3A.A.3A.4A12.A$11.A.A.3A.A.3A.
A.3A.A.3A.A.3A.A.3A.A17.A$11.2A.5A.5A.5A.5A.5A.5A.4A12.A$11.2A.5A.5A.
5A.5A.5A.5A.A$11.8A.17A.11A.A$11.2A.5A.5A.5A.5A.5A.5A.A$11.2A.5A.5A.
5A.5A.5A.5A.A4.A.A$54.A3.A$10.2A44.A$9.A48.A$10.A44.A.A$12.A.A3.A.A3.
A.A3.A.A3.A.A3.A.A3.A.A$13.A5.A5.A5.A5.A5.A5.A$56.A4.A$10.A45.C5.A$
11.A44.B4$55.A6.A$56.A4.A!

imagine that each sticky bullet here represents an entire one-sided construction recipe. each time they collide, a segment of the loop (probably just 1 cell for us) is constructed.
the mini loops just have to repeat N times where N is the width of the DNA loop, and one side has to repeat slower than the other.

oh, and plain loops are twice as cheap due to a construction exploit/happy accident.

Code: Select all

x = 31, y = 10, rule = Banks-IV
7.8C2$7.6C2.C$15.C$15.C$15.C$15.C$15.C$.A10.A2.C2.A10.A$2CA10CA3CA10C
A2C!

if you hate the idea of creating a freeze-dried tape to send all these signals, here's a super janky "recorder" mechanism that is the pinnacle of "making the original rule author confused"

Code: Select all

x = 203, y = 26, rule = Banks-IV
127.3C20.3C$127.C.C20.C.C$125.3C.22C.3C$125.C2.C22.C2.C$125.3C.22C.3C
$127.C.C20.C.C$127.C.C20.C.C$127.C.C20.C.C$127.C.C20.C.C$127.C.C20.C.
C$127.C.C20.C.C$127.C.C16.3C.C.C11.2C2.3C2.2C2.C2.2C2.2C$127.C.C16.C.
C.C.C11.C.C.C3.C3.C.C.C.C.C.C$126.2C.2C13.3C.3C.3C9.2C2.2C2.C3.C.C.2C
2.C.C$124.3C.C.6C8.C2.C3.C2.C9.C.C.C3.C3.C.C.C.C.C.C$124.C.C.C.C.2C.C
8.3C.3C.3C9.C.C.3C2.2C2.C2.C.C.2C$125C.5C.2C.12C.3C.C45.3C$3.BA5.BA9.
BA5.BA8.BA7.BA5.BA9.BA6.BA15.BA14.BA9.BA6.C.BA2.C2.C12.C2.C.C45.C.C$
125C.5C.2C.12C.3C.47C.3C$124.C.C3.C.2C.C10.C.C2.C47.C2.C$124.3C3.6C
10.C.3C.47C.3C$144.3C.3C.47C.3C$144.C2.C3.C47.C2.C$144.3C.3C.47C.3C$
146.C.C.C.C45.C.C$146.3C.3C45.3C!

the disabling mechanism requires 2 perfectly timed signals going through the pipe and the kill switch at the same time, which causes a reaction that basically corrodes the pipe. took a while to find a corrosion reaction that didn't eat everything.
anyway, just line up a couple of these alongside XOR gates, and you're finally able to access period 5 construction recipes and control flow that can enable or disable certain paths and can count linearly every time it recognizes that the loop has looped.

i think it can be an orthogonal glide-symmetric puffer. depending on how the loop's construction arm is designed, it could possibly alternate left/right.

R2INT · Post by **R2INT** » July 29th, 2025, 5:37 pm

Redstoneboi wrote: July 29th, 2025, 1:58 pm how to attach parent to child (zoom right, i don't know how to set the default camera position):
[...]

You can use the X, Y, and Z script commands (X and Y for camera position, and Z for camera zoom):

Code: Select all

# [[ MAXGRIDSIZE 14 X 5150  Y 0 Z 4 ]]
x = 10441, y = 45, rule = Banks-IV
10316.3C12.3C$10316.C.C12.C.C$10317C.3C8.3C.3C$2.BA15.BA3.BA19.BA3.BA
17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA15.BA3.BA
19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA
15.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.B
A5.BA8.BA17.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA
3.BA9.BA3.BA7.BA3.BA5.BA4.BA17.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA
3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA12.BA19.BA3.BA23.BA3.BA21.B
A3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.B
A8.BA19.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA
11.BA3.BA9.BA3.BA7.BA3.BA5.BA6.BA19.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA
17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA19.BA3.BA
23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.
BA7.BA3.BA5.BA6.BA19.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA
3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA14.BA21.BA3.BA25.BA3.BA23.B
A3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.
BA3.BA5.BA4.BA21.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA
15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA10.BA23.BA3.BA27.BA3.B
A25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA
3.BA9.BA3.BA7.BA3.BA5.BA8.BA23.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA
3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA
6.BA23.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA
15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA23.BA3.BA27.BA3.BA
25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA
3.BA9.BA3.BA7.BA3.BA5.BA6.BA23.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA
3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA
8.BA23.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA
15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA10.BA23.BA3.BA27.BA3.B
A25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA
3.BA9.BA3.BA7.BA3.BA5.BA14.BA25.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.B
A3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.
BA3.BA5.BA4.BA25.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA
19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA8.BA
27.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA
3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA27.BA
3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA
17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA8.BA29.BA3.BA
33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA
3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA29.BA
3.BA33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA
19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA8.BA
31.BA3.BA35.BA3.BA33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA
3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.B
A3.BA5.BA4.BA31.BA3.BA35.BA3.BA33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA
25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA
3.BA9.BA3.BA7.BA3.BA5.BA8.BA33.BA3.BA37.BA3.BA35.BA3.BA33.BA3.BA31.BA
3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA
15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA33.BA3.BA37.BA3.BA
35.BA3.BA33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA
3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA
8.BA35.BA3.BA39.BA3.BA37.BA3.BA35.BA3.BA33.BA3.BA31.BA3.BA29.BA3.BA
27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA
3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA35.BA3.BA39.BA3.BA37.BA3.BA35.BA
3.BA33.BA3.BA31.BA3.BA29.BA3.BA27.BA3.BA25.BA3.BA23.BA3.BA21.BA3.BA
19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.C
2.C8.C2.C2.C$10317C.3C8.3C.3C$10316.C.C12.C.C$10316.C.C12.C.C$10316.C
.2C11.C.C$10315.2C.C12.C.C$10317.C13.C.C$10317.C13.C.C$10280.C.C34.C
15.C$10280.C.C34.C15.C$10280.C.C34.C$10265.C.C14.C19.C14.C118.3C$
10265.C.C14.C19.C14.C32.C82.C2.C.C$10267.C14.B17.C.C14.C22.12C80.5C.
3C$10282.B15.3C.C14.C34.80C5.C2.C$10280.B.B15.C2.C15.C22.12C80.5C.3C$
10250.A17.C9.3B.B6C9.3C.C14.C33.C80.C3.C.C$10251.A14C12.B2.B6.C11.C.C
14.C118.C.C$10250.A16.5C6.3B.B6C11.3C14.C118.C.C$10265.C.C12.B.B34.C
118.C.C$10265.3C12.3B34.C118.C.C$10317.C118.C.C$10317.C118.C.C$10315.
2C.C16.102C.3C$10316.C.2C117.C2.C$10316.C.C16.102C.3C$10316.C.C117.C.
C$10317C.3C115.3C$BA15.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.B
A3.BA9.BA3.BA7.BA3.BA5.BA6.BA15.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.B
A3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA6.BA15.BA3.BA19.BA3.BA17.BA3.BA15.B
A3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA4.BA17.BA3.BA21.BA3.BA19.B
A3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA8.BA17.B
A3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.
BA3.BA5.BA4.BA19.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA
13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA10.BA19.BA3.BA23.BA3.BA21.BA3.B
A19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA3.BA9.BA3.BA7.BA3.BA5.BA8.B
A19.BA3.BA23.BA3.BA21.BA3.BA19.BA3.BA17.BA3.BA15.BA3.BA13.BA3.BA11.BA
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Redstoneboi · Post by **Redstoneboi** » July 30th, 2025, 3:27 pm

apparently the shortest possible repeat time for a stream is 9, as you can use a signal merger to merge signals into the same lane 10 ticks apart then use another merger to speed up the last signal by 1 tick:

Code: Select all

x = 59, y = 44, rule = Banks-IV
13.2C2.3C.C.C2.2C2.C2.2C2.C3.3C$13.C.C.C3.C.C.C3.C.C.C.C.C3.C$13.2C2.
2C2.C.C2.C2.3C.2C2.C3.2C$13.C.C.C3.C.C3.C.C.C.C.C.C3.C$13.C.C.3C2.2C.
2C2.C.C.2C2.3C.3C2$13.2C2.3C4.2C.3C2.2C.2C3.C2.C$13.C.C.C.C3.C4.C2.C
3.C.C.C.C.C$13.2C2.3C4.C3.C2.C.C.C.C.3C.C$13.C5.C5.C2.C2.C.C.C.C.C.C.
C$13.C3.3C3.2C2.3C2.2C.C.C.C.C.3C7$15.3C4.6C.3C3.3C5.3C$15.C.C4.C.2C.
C.C.C3.C.C5.C.C$16C.6C.2C.3C.5C.7C.3C$6.BA8.C6.C2.C3.C5.C7.C2.C$16C.
6C.2C.3C.5C.7C.3C$15.C.3C.2C.2C.C.C.C.C.C.C.C.3C.3C$15.C.3C.2C.4C.3C.
C.C.C.C.C2.C2.C$15.C.C2.C2.C4.C2.3C.5C.3C.3C$13.3C.3C.2C.4C.3C2.C5.C
2.C.C$13.C2.C2.C.2C.C.2C.C2.2C.5C.3C.C$13.3C.3C.4C.2C.5C.5C.3C.3C$15.
C.C2.C4.C2.C5.C2.C2.C3.C2.C$15.C.3C.4C.2C.5C.5C.3C.3C$15.C.3C.C.2C.2C
.C.3C.5C.3C.C$13.3C.5C.2C.4C.C2.C5.C2.3C$13.C2.C5.C2.C2.C2.3C.5C.3C$
13.3C.5C.2C.3C4.C.C3.C.C$15.C.C3.C.2C.C6.3C3.C.C$15.3C3.6C12.C.C$39.C
.C$39.C.C$39.C.C5.C8.C$37.3C.18C$37.C2.C17.C$37.3C.18C$39.C.C$39.3C!

it should be possible to make a p9 "append" circuit that can add a signal at least 9 ticks away from the back of a stream.
building a standalone one for freeze dried recipes is left as an exercise for the reader.

continuing the jank, you can "stun" a signal for 4 ticks, but it's single-use:

Code: Select all

x = 44, y = 29, rule = Banks-IV
4.C6.3C.3C.C.C.3C$3.2C7.C3.C2.3C.C$4.C2.3C2.C3.C2.C.C.2C$4.C7.C3.C2.C
.C.C$3.3C6.C2.3C.C.C.3C2$3.C.C5.3C.3C2.2C.C.C4.2C.3C.C.C.2C$3.C.C6.C
3.C2.C3.C.C3.C4.C2.C.C.C.C$3.3C.3C2.C3.C2.C3.2C5.C3.C2.C.C.C.C$5.C6.C
3.C2.C3.C.C5.C2.C2.C.C.C.C$5.C6.C2.3C2.2C.C.C3.2C3.C3.2C.C.C4$23.3C$
23.C.C$6.18C.3C$20.BA2.C2.C$6.18C.3C$23.C.C$23.C.C$22.2C.2C$24.C$23.C
.C$24C.19C$2.BA7.BA11.C18.C$24C.19C$23.C.C$23.3C!

you can use this to space 2 signals down to 5 ticks apart, which is the absolute minimum that can pass through most circuitry:

Code: Select all

x = 47, y = 37, rule = Banks-IV
2.C6.3C.3C.C.C.3C$.2C7.C3.C2.3C.C$2.C2.3C2.C3.C2.C.C.2C$2.C7.C3.C2.C.
C.C$.3C6.C2.3C.C.C.3C2$.2C2.3C4.2C.3C2.2C.2C3.C2.C$.C.C.C5.C4.C2.C3.C
.C.C.C.C$.2C2.3C4.C3.C2.C.C.C.C.3C.C$.C5.C5.C2.C2.C.C.C.C.C.C.C$.C3.
3C3.2C2.3C2.2C.C.C.C.C.3C4$13.3C4.3C$13.C.C4.C.C$14C.6C.3C$5.BA7.C6.C
2.C$14C.6C.4C.3C$13.C.3C.2C.2C.C.C.C$13.C.3C.2C.2C.3C.3C$13.C.C2.C2.C
2.C3.C2.C$13.C.3C.2C.2C.3C.3C$11.3C.3C.2C.2C.3C.2C$11.C2.C2.C.5C.C2.C
3.3C$11.3C.3C.2C.2C.C.C.C2.C.C$13.C.3C.2C.2C.3C.4C.3C$13.C.C2.C2.C2.C
3.C4.C2.C$13.C.3C.2C.2C.3C.4C.3C$13.C.C.C.2C.2C.C.C.C.2C.2C$13.C.C.4C
.4C.C.C3.C$13.C.C4.C.C4.C.C2.C.C4.C4.C$11.3C.6C.6C.4C.13C$11.C2.C6.C
2.C3.C4.C12.C$11.3C.6C.6C.4C.13C$13.C.C4.C.C4.C.C2.C.C$13.3C4.3C4.3C
2.3C!

but i don't think this can be used to create any arbitrarily spaced sequence. only the first signal in a stream can be stunned.

anyway you can put these components together to make a repeatable circuit that can periodically turn 1 signal into 2 signals spaced 5 ticks apart:

Code: Select all

x = 211, y = 102, rule = Banks-IV
32.2C2.3C.C.C2.2C2.C2.2C2.C3.3C$32.C.C.C3.C.C.C3.C.C.C.C.C3.C$32.2C2.
2C2.C.C2.C2.3C.2C2.C3.2C$32.C.C.C3.C.C3.C.C.C.C.C.C3.C$32.C.C.3C2.2C.
2C2.C.C.2C2.3C.3C2$32.2C2.3C4.2C.3C2.2C.2C3.C2.C$32.C.C.C.C3.C4.C2.C
3.C.C.C.C.C$32.2C2.3C4.C3.C2.C.C.C.C.3C.C$32.C5.C5.C2.C2.C.C.C.C.C.C.
C$32.C3.3C3.2C2.3C2.2C.C.C.C.C.3C7$2.3C29.3C4.6C.3C3.3C5.3C$2.C.C29.C
.C4.C.2C.C.C.C3.C.C5.C.C$3C.31C.6C.2C.3C.5C.7C.3C$C2.C31.C6.C2.C3.C5.
C7.C2.C$3C.31C.6C.2C.3C.5C.7C.3C$2.C.C29.C.3C.2C.2C.C.C.C.C.C.C.C.3C.
3C$2.C.C19.3C7.C.3C.2C.4C.3C.C.C.C.C.C2.C2.C$2.C.C19.C.C7.C.C2.C2.C4.
C2.3C.5C.3C.3C$3C.21C.3C3.3C.3C.2C.4C.3C2.C5.C2.C.C$C2.C21.C2.C3.C2.C
2.C.2C.C.2C.C2.2C.5C.3C.C$3C.21C.3C3.3C.3C.4C.2C.5C.5C.3C.3C$2.C.C19.
C.C7.C.C2.C4.C2.C5.C2.C2.C3.C2.C$2.3C19.C.C7.C.3C.4C.2C.5C.5C.3C.3C$
24.C.C7.C.3C.C.2C.2C.C.3C.5C.3C.C$11.14C.3C3.3C.5C.2C.4C.C2.C5.C2.3C$
13.BA10.C2.C3.C2.C5.C2.C2.C2.3C.5C.3C$11.14C.3C3.3C.5C.2C.3C4.C.C3.C.
C$24.C.C7.C.C3.C.2C.C6.3C3.C.C$24.3C7.3C3.6C12.C.C$58.C.C$58.C.C21.3C
$58.C.C21.C.C$56.3C.23C.3C$56.C2.C23.C2.C6.C2.2C2.2C2.2C3.C2.3C$56.3C
.23C.3C5.C.C.C.C.C.C.C.C.C.C2.C$58.C.C21.C.C7.3C.C.C.C.C.C.C.C.C2.C$
58.3C21.C.C7.C.C.C.C.C.C.C.C.C.C2.C$82.C.C7.C.C.C.C.2C2.C.C2.C3.C$82.
C.C$82.C.C$82.C.C.3C3.3C$82.C.C.C.C3.C.C$82.C.3C.5C.3C$78.3C.C.C2.C5.
C2.C25.3C$78.C.C.C.3C.5C.3C25.C.C$33.C6.3C.3C.C.C.3C21.3C.3C.3C.5C.
29C.3C$32.2C7.C3.C2.3C.C23.C2.C3.C3.C2.C2.C29.C2.C$33.C2.3C2.C3.C2.C.
C.2C22.3C.3C.3C.5C.29C.3C46.2C2.3C.C.C2.2C2.C2.2C2.C3.3C$33.C7.C3.C2.
C.C.C23.3C.3C.3C.5C.3C25.C.C48.C.C.C3.C.C.C3.C.C.C.C.C3.C$32.3C6.C2.
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2C2.C3.2C$76.3C.3C.3C.5C.3C25.C.C6.C.C.C.C.C.C31.C.C.C3.C.C3.C.C.C.C.
C.C3.C$32.2C2.3C4.2C.3C2.2C.2C3.C2.C13.3C.3C.3C.5C.C27.C.C7.C2.C.C.2C
32.C.C.3C2.2C.2C2.C.C.2C2.3C.3C$32.C.C.C5.C4.C2.C3.C.C.C.C.C13.C2.C3.
C3.C2.C.3C27.C.C6.C.C.C.C.C.C$32.2C2.3C4.C3.C2.C.C.C.C.3C.C13.3C.3C.
3C.3C31.C.C6.C.C2.C2.C.C31.2C2.3C4.2C.3C2.2C.2C3.C2.C$32.C5.C5.C2.C2.
C.C.C.C.C.C.C15.C.C.C.C.C.C28.3C2.C.4C45.C.C.C5.C4.C2.C3.C.C.C.C.C$
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3.C2.C.C.C.C.3C.C$82.C.C30.3C.4C.2C.3C43.C5.C5.C2.C2.C.C.C.C.C.C.C$
82.C.C30.C2.C4.C2.C2.C43.C3.3C3.2C2.3C2.2C.C.C.C.C.3C$82.C.C30.3C.4C.
2C.3C$44.3C4.3C28.C.C30.3C.4C.2C.84C$44.C.C4.C.C28.C.C30.C2.C2.3C2.C
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12.C.C17.C.C$44.C.C.C.2C.2C.C.C.C.2C.2C10.3C.2C.2C.3C10.C.C17.C.C$44.
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3C.2C.2C.3C10.C.C17.C.C$42.3C.6C.6C.4C.15C.2C.2C.C12.C.C17.C.C$42.C2.
C6.C2.C3.C4.C15.C2.3C.C12.C.C17.C.C$42.3C.6C.6C.4C.15C.5C.14C.19C.3C$
44.C.C4.C.C4.C.C2.C.C13.C.3C2.C14.C19.C2.C$44.3C4.3C4.3C2.3C13.C.2C.
2C.14C.19C.3C$77.3C.2C.2C.3C10.C.C17.C.C$77.C2.C2.C2.C2.C10.3C17.3C$
77.3C.2C.2C.3C$79.C.2C.2C.C$79.9C4$74.C.C2.C2.2C5.2C.C4.C3.2C.C.C$74.
C.C.C.C.C.C3.C3.C3.C.C.C3.C.C$75.C2.C.C.2C4.C3.C3.C.C.C3.2C$74.C.C.C.
C.C.C3.C3.C3.C.C.C3.C.C$74.C.C2.C2.C.C4.2C.3C2.C3.2C.C.C!

similar circuits can be done for 6 ticks apart, 7, 8, and so on.

Redstoneboi · Post by **Redstoneboi** » August 2nd, 2025, 10:53 pm

I've come up with a bit of a rough method for constructing the right endpoint of the machine. This assumes that the child's left endpoint and most of the loop and child construction bar have already been built.

Phase 1 uses the main long upward construction bar (yellow) to build a sideways (rightward) construction bar (orange).
Phase 2 uses the rightward construction bar to build a longer upward construction bar (red).
Phase 3 uses the upward construction bar to build the child's right endpoint, also extending the loop in the process.

We can also eventually make it so that each endpoint actually constructs a mirror image of the opposite endpoint instead, making it a glide-symmetric orthopuffer.

Redstoneboi · Post by **Redstoneboi** » August 15th, 2025, 5:34 pm

Okay so maybe the "clock" things in the previous image were incorrect. Banks needs timing freedom on both left and right sides of the arm if we want to construct anything meaningful, so there will probably have to be some decoder magic happening from a single channel construction loop instead.

Decoders make things very slow, though. Practically a 7x slowdown minimum compared to raw streams of data, since ANDNOT gates are very slow. Raw data streams have a minimum repeat time of 5, while ANDNOTs have an "effective" repeat time of about 36 ticks or more, and XORs rt40 or more. On top of that, the simplest encoding for separating "left signal" vs "right signal" requires 2 bits: one for the timing, and one for left/right differentiation. possibly some margin between signals too.

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x = 368, y = 124, rule = Banks-IV
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C.C135.C.C$184.C.C135.3C$184.C.C$184.C.C$184.C.C$184.C.C$184.C.C$184.
3C!

Here's a rough overview of the construction plan to make an orthogonal linear propagator:

: mirror madness; recipe ordering.png (21.17 KiB) Viewed 1341 times

I need a specific recipe ordering to be able to connect the loop to the left and right sides. The loop builder recipe will be dumb and will need a lot of assistance to even simply cap off the ends of the loop. I estimate a whole 150k ticks of raw optimized recipe worth, just for a loop cap. I still have to construct decoders and loop building clocks and timing circuitry and also have to use an unoptimized recipe. I don't want to try to fit that into some sort of freeze dried recipe or mini loop anywhere on the left or right sides of the child replicator. I'd rather try fitting it in with the actual main loop as a separate recipe that takes up half the space.
I tried conceptualizing what a single-loop recipe would look like if it were raw streams of data. I made the prototype in Sticky because it was easier than in Banks:

Code: Select all

x = 641, y = 138, rule = Sticky
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A.A11.B$475.A11.A90.B23.A2.A.A12.B$578.B24.2A.A13.B$578.B41.B$578.B
41.B$578.B20.A.A4.A13.B$578.B19.A.A6.A12.B$578.B20.A.A3.2A13.B$578.B
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151.A!

That's just the way to build the left side. I still have to figure out how to get it to construct the loop and most importantly to construct the far side of the thing. It's also likely going to be really difficult to segment this loop after the main loop clocks are done...
I'll be trying to fit 3 separate recipes (each with left and right halves) into one loop.
Recipe 1 will likely be building the left side of the child. The recipe is a pair of left/right shoulder sub-recipes, which will probably have to be decoded (e.g. "101" = "send signal from left shoulder", "1001" = "send signal from right shoulder")
Recipe 2 will build the loop body and will likely be placed shortly after recipe 1. it needs to be copied into recipe clocks on both the left side and right side.
the left side's recipe clock will have slightly faster period than the right side, exactly 2 ticks of difference, which will allow the construction to slowly move left to right.
Recipe 3 builds the right side and can be placed after recipe 2. It's divided into 3 phases, as shown in the previous post:
a. move up
b. move right
c. construct the right side
After this it should hopefully have constructed a bridge/umbilical cord that allows the loop to flow all the way into the child replicator/linear propagator.

All this to say, it's harder than any other replicator by a long shot if I don't want to take a huge huge hit to speed.

Redstoneboi · Post by **Redstoneboi** » December 6th, 2025, 3:10 pm

Proof of concept "Recipe Separator" device (based on the Sticky version above) which can separate a single loop recipe into 2 halves, if timed right:

Code: Select all

x = 1106, y = 176, rule = Banks-IV
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1045.3C.3C$2.C.C23.C.C2.3C13.C.C.C1045.C.C.C$2.C.C23.C.C2.C.C13.3C
1049.C.C$2.C.C21.3C.4C.1067C.3C$2.C.C21.C2.C4.C1067.C2.C$2.C.C21.3C.
4C.1067C.3C$2.C.C23.C.4C.1067C.3C$2.C.C23.C.2C2.C1067.C2.C$3C.25C.4C.
1067C.3C$C2.C25.C2.2C.C1065.C.C$3C.25C.4C.C1065.3C$2.C.C21.3C.4C.3C$
2.C.C21.C2.C4.C2.C$2.C.C21.3C.4C.3C$2.C.C23.C.C2.C.C$2.C.C23.3C2.3C$
2.C.C$2.C.C$2.C.C$2.C.C$2.C.C$2.C.C775.3C$2.C.C775.C.C$3C.777C.3C$C2.
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AB7.AB4.AB5.AB3.AB7.AB3.AB9.AB3.AB11.AB3.AB7.AB6.AB5.AB3.AB7.AB3.AB9.
AB3.AB5.AB90.AB255.C2.C$3C.777C.3C$2.C.C775.C.C$2.4C774.C.C$3.C.C774.
C.C$.3C.776C.3C$.C2.C776.C2.C$.3C.776C.3C$3.C.C774.C.C$3.C.C774.3C$.
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5.AB3.AB7.AB3.AB9.AB3.AB11.AB3.AB13.AB3.AB9.AB4.AB5.AB3.AB7.AB3.AB9.A
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AB7.AB3.AB9.AB3.AB5.AB88.AB$.3C.756C$3.C.C$3.3C!

the demo recipe is structured as follows: [control signal, recipe from right, control signal, recipe from left].
the system begins by reading a control signal and having it initialize any relevant timing circuitry. for the circuits on the left, their first job is to block all signals from the first half of the recipe (block the "recipe from right" from being sent on the left), and only send the second half (recipe from left).

this makes it so that the right side sends its recipe first, then the left side sends its recipe, which causes them to meet somewhere in the middle. with 2 different independent recipes in the same loop, we're now able to encode 1 phase of the construction. yay. that's the easy part.

currently, this demo recipe just builds a few pixels somewhere in the middle of the loop. i marked it with an arrow to make it easier to notice.
more circuitry will be needed on both the left and right sides of the parent to split the recipe into all its constituent parts: phase 1 (building the left side of the child), phase 2 (building the loop body, shifting the signals from left to right), phase 3.1 (building a rightward extension arm), 3.2 (building an upward extension arm), and 3.3 (actually building the right side of the machine), each phase (besides loop body) consisting of left and right halves, and each half probably having hundreds of thousands of signals. i believe even one column of the loop body would have 10k signals. and that would mean i'd need loops to contain that on both the left and right sides of the machine.

i have decided not to use loop cycle count for timing as that would require signal decoders, which are extremely fragile in banks 4 and will break for any off-timing signal, which would force me into separating signals like 100 cells apart to accommodate different instruction types instead of the usual 5 cells apart per raw construction signal.

i'll probably resort to pre-programming a bunch of counters (like the p675 binary counter in the sample pattern) to catch every relevant timing ever. stuff like "recipe start, recipe end, phase start, phase end" etc will probably just be handled by a bunch of single-use timers phase-offset such that it allows certain signals to pass through or not on either end at specific times. the loop will have instructions, and the body will just be entirely about sending them to the right output ports at the right time.

Redstoneboi · Post by **Redstoneboi** » May 6th, 2026, 1:16 pm

still undecided whether i want to make a loop replicator or a proper jank-free version as originally intended...

anyway here's a script that generates a near-optimal recipe for any given binary pattern.
the RLE files are typically so large that it's more efficient to actually save it as a file (gzipped to save space) and load it into golly rather than pasting it in an existing universe.
they also load very slowly so i made it convert to mc.gz immediately after generating the initial rle since mc is closer to the native pattern representation. file size of mc.gz is like 100x larger than rle.gz though.
golly does come with a builtin make-Banks-IV-constructor.py, but it can't handle very large recipes (lots of manual string appending, quadratic time)
even this script struggles with building anything larger than like 200x200 so good luck lmao.

Code: Select all

# Make a pattern from states 3 and 0, select it and then
# run this script to make a Banks-IV CA pattern that will then
# construct the pattern.

import os
import gzip
from textwrap import dedent
from glife import rect
from time import time
import golly as g


class Recipe:

    INIT = [5, 3, 6, 3, 8, 3]

    def __init__(self, r):
        self.x = r.left
        self.y = r.top
        self.w = r.width
        self.h = r.height
        self.t = [1]
        self.b = [1]
        self.offset = 0

    def _offset_to(self, y):
        return y * 2 + 1 - self.h - self.offset

    def set_y(self, y):
        # y = (self.h + 1 + offset) / 2
        change = self._offset_to(y)
        if change < 0:
            self.t[-1] -= change
        if change > 0:
            self.b[-1] += change
        self.offset += change

    def _column_range(self, x):
        t = None
        b = None
        for y in range(self.h):
            if g.getcell(x + self.x, y + self.y) == 3:
                t = y
                break
        for y in range(self.h - 1, 0, -1):
            if g.getcell(x + self.x, y + self.y) == 3:
                b = y
                break
        return t, b

    def iter_cells(self):
        for x in range(self.w):
            t, b = self._column_range(x)
            if t is None:
                continue
            r = range(self.h)
            upward = abs(self._offset_to(t)) > abs(self._offset_to(b))
            if upward:
                r = reversed(r)
            for y in r:
                if g.getcell(x + self.x, y + self.y) == 3:
                    yield self.w - x - 1, y

    def _write_cell(self, x, y):
        self.set_y(y)
        sequence = [*self.INIT]
        for n in range(x):
            sequence += [n * 2 + 10, 3]
        sequence += [x * 2 + 5, 4]
        self.t += sequence
        self.b += sequence

    def _export_rle(self):
        self.t.pop()
        self.b.pop()
        top_rle = "".join(f"{run}.AB" for run in self.t)
        bot_rle = "".join(f"{run}.AB" for run in self.b)
        top_len = sum(self.t) + len(self.t) * 2
        bot_len = sum(self.b) + len(self.b) * 2
        recipe_len = max(top_len, bot_len) + 4
        return dedent(f"""
            #CXRLE Pos={self.w + 3},{-9}
            x = {recipe_len + 6}, y = {self.h + 18}, rule = Banks-IV
            2.3C$2.C.C$3C.{recipe_len}C$C2.C{top_rle}$3C.{recipe_len}C$.2C.C$2.C.2C$3.C$3.C$
            {'3.C$' * self.h}
            3.C$3.C$2.C.2C$.2C.C$3C.{recipe_len}C$C2.C{bot_rle}$3C.{recipe_len}C$2.C.C$2.3C!
        """).strip()

    def build(self):
        oldsecs = time()
        for i, [x, y] in enumerate(self.iter_cells()):
            if i % 1024 == 0:
                newsecs = time()
                if newsecs - oldsecs >= 1.0:
                    oldsecs = newsecs
                    g.update()
            self._write_cell(x, y)
        x = self.x + self.w + 3
        y = self.y - 9
        rle = self._export_rle()
        return x, y, rle


def main():
    r = rect(g.getselrect())
    if r.empty:
        g.exit("There is no selection.")
    fname = g.savedialog(
        "Save Banks-IV construction recipe",
        "Compressed Macrocell (*.mc.gz)|*.mc.gz",
        "",
        "_recipe.mc.gz",
    )
    if not fname:
        raise g.exit("No filename specified.")

    recipe = Recipe(r)
    x, y, rle = recipe.build()
    with open(fname, "wb") as f:
        f.write(gzip.compress(rle.encode()))

    g.addlayer()
    g.open(fname)
    g.save(fname, 'mc.gz', True)
    g.select([0, 0, recipe.w, recipe.h])
    g.fitsel()


main()

Redstoneboi · Post by **Redstoneboi** » May 7th, 2026, 11:42 am

i tried running my script on this set of logic gates. it's 124x202. the resulting construction recipe was 11,852,032 cells long, which i won't be posting here. it's 19kb, and that's with .rle.gz encoding.
the longest replicator in Golly/Patterns is Codd/Goucher-replicator.mc.gz, which is 7,562,569 cells long.

Code: Select all

x = 124, y = 202, rule = Banks-IV
63.C.C.3C.2C3.2C.3C$63.3C.C3.C.C.C3.C$63.C.C.2C2.2C2.C.C.2C28.3C2.3C$
63.C.C.C3.C.C.C.C.C29.C.C2.C.C$63.C.C.3C.C.C2.2C.3C25.3C.4C.3C$107.C
2.C4.C2.C$107.3C.4C.3C$109.C.4C.8C$109.C.C3.CAB$58.3C.3C13.3C.3C19.6C
.4C.8C$58.C.C.C.C13.C.C.C.C25.C3.C.2C.C$56.3C.3C.3C9.3C.3C.3C17.6C.4C
.2C.C$56.C2.C3.C2.C9.C2.C3.C2.C20.3C.4C.2C.3C$56.3C.3C.3C9.3C.3C.3C
20.C2.C4.C2.C2.C$58.C.3C.6C8.C.3C.6C17.3C.4C.2C.3C$58.C.C2.C14.C.C2.C
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14.C2.C.C22.C2.C2.C4.C2.C$52.7C.3C.C7.7C.3C.C22.3C.2C.4C.3C$56.3C.3C.
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.3C8.3C.2C.2C.3C$42.C2.C2.C2.C2.C8.C2.C2.C2.C2.C8.C2.C2.C2.C2.C$42.3C
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18.CBC$47.C.C18.C.C18.C.C12$56.C2.2C2.2C2.2C3.C2.3C$55.C.C.C.C.C.C.C.
C.C.C2.C$55.3C.C.C.C.C.C.C.C.C2.C$55.C.C.C.C.C.C.C.C.C.C2.C$55.C.C.C.
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32.C.C2.C.C$21.3C.4C.3C28.3C.4C.3C28.3C.4C.3C$21.C2.C4.C2.C28.C2.C4.C
2.C28.C2.C4.C2.C$21.3C.4C.3C28.3C.4C.3C28.3C.4C.3C$23.C.4C.8C25.C.4C.
8C25.C.4C.8C$23.C.C3.C5.AB26.C.C3.C5.AB26.C.C3.C$24C.4C.8C2.24C.4C.8C
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24C.4C.2C.C6.24C.4C.2C.C$21.3C.4C.2C.3C25.3C.4C.2C.3C25.3C.4C.2C.3C$
21.C2.C4.C2.C2.C25.C2.C4.C2.C2.C25.C2.C4.C2.C2.C$21.3C.4C.2C.3C25.3C.
4C.2C.3C25.3C.4C.2C.3C$23.C.2C.C.2C.C29.C.2C.C.2C.C29.C.2C.C.2C.C$21.
3C.2C.4C.3C25.3C.2C.4C.3C25.3C.2C.4C.3C$21.C2.C2.C4.C2.C25.C2.C2.C4.C
2.C25.C2.C2.C4.C2.C$21.3C.2C.4C.3C25.3C.2C.4C.3C25.3C.2C.4C.3C$23.C.
2C.4C.C29.C.2C.4C.C29.C.2C.4C.C$23.4C.C2.3C29.4C.C2.3C29.4C.C2.3C$26.
C.C37.C.C37.C.C$26.C.C37.C.C37.C.C$26.C.C37.C.C37.C.C$26.C.C37.C.C37.
C.C$26.C.C37.C.C37.C.C$26.C.C37.C.C37.C.C$26.CBC37.CBC37.CBC$26.CBC
37.CBC37.CBC$26.C.C37.C.C37.C.C16$59.2C.2C3.C3.2C2.2C.3C.2C3.2C$58.C
3.C.C.C.C.C3.C4.C2.C.C.C$58.C3.2C2.C.C2.C3.C3.C2.C.C.C.C$58.C3.C.C.C.
C3.C3.C2.C2.C.C.C.C$59.2C.C.C2.C2.2C2.2C2.3C.C.C2.2C5$45.9C13.9C13.9C
$45.C.2C.2C.C13.C.2C.2C.C13.C.2C.2C.C$43.3C.2C.2C.3C9.3C.2C.2C.3C9.3C
.2C.2C.3C$43.C2.C2.C2.C2.C9.C2.C2.C2.C2.C9.C2.C2.C2.C2.C$43.3C.2C.2C.
3C9.3C.2C.2C.3C9.3C.2C.2C.3C$45.C.2C.2C.C13.C.2C.2C.C13.C.2C.2C.C$45.
C.2C.2C.5C9.C.2C.2C.5C9.C.2C.2C.5C$45.C.3C2.C2.AB10.C.3C2.C14.C.3C2.C
2.AB$39.7C.5C.5C3.7C.5C.5C3.7C.5C.5C$46.C2.3C.C8.BA4.C2.3C.C8.BA4.C2.
3C.C$39.7C.2C.2C.4C4.7C.2C.2C.4C4.7C.2C.2C.4C$42.C.2C.2C.2C.2C.C7.C.
2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C$40.3C.2C.2C.2C.2C.3C3.3C.2C.2C.2C.2C.
3C3.3C.2C.2C.2C.2C.3C$40.C2.C2.C2.C2.C2.C2.C3.C2.C2.C2.C2.C2.C2.C3.C
2.C2.C2.C2.C2.C2.C$40.3C.2C.2C.2C.2C.3C3.3C.2C.2C.2C.2C.3C3.3C.2C.2C.
2C.2C.3C$42.C.2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C$42.C.5C
.5C.C7.C.5C.5C.C7.C.5C.5C.C$42.C.2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C7.C.2C
.2C.2C.2C.C$40.3C.2C.2C.2C.2C.3C3.3C.2C.2C.2C.2C.3C3.3C.2C.2C.2C.2C.
3C$40.C2.C2.C2.C2.C2.C2.C3.C2.C2.C2.C2.C2.C2.C3.C2.C2.C2.C2.C2.C2.C$
40.3C.2C.2C.2C.2C.3C3.3C.2C.2C.2C.2C.3C3.3C.2C.2C.2C.2C.3C$42.C.2C.2C
.2C.2C.C7.C.2C.2C.2C.2C.C7.C.2C.2C.2C.2C.C$42.4C.5C.4C7.4C.5C.4C7.4C.
5C.4C$45.C.C3.C.C13.C.C3.C.C13.C.C3.C.C$45.C.C3.C.C13.C.C3.C.C13.C.C
3.C.C$45.C.C3.C.C13.C.C3.C.C13.C.C3.C.C$45.C.C3.C.C13.C.C3.C.C13.C.C
3.C.C$45.C.C3.C.C13.C.C3.C.C13.C.C3.C.C$45.C.C3.C.C13.C.C3.C.C13.C.C
3.C.C$45.C.C3.C.C13.C.C3.C.C13.C.C3.C.C$45.CBC3.CBC13.CBC3.CBC13.CBC
3.CBC$45.CBC3.CBC13.CBC3.CBC13.CBC3.CBC$45.C.C3.C.C13.C.C3.C.C13.C.C
3.C.C!

i attempted a 250x200 pattern. golly couldn't even open the resulting recipe with 10GB RAM.
looks like i might have to find a different way of encoding the replicator if i want to keep it reasonably runnable.

Redstoneboi · Post by **Redstoneboi** » May 9th, 2026, 4:10 am

binary counters, set to p64, can theoretically be attached to a mod 64 delay circuit to make arbitrary delays for construction

Code: Select all

x = 245, y = 161, rule = Banks-IV
24.C.C$24.C.C47.C.C45.C.C45.C.C45.C.C$24.CBC47.C.C45.C.C45.C.C45.C.C$
24.CAC47.C.C45.C.C45.C.C45.C.C$24.C.C47.C.C45.C.C45.C.C45.C.C$24.C.C
47.C.C45.C.C45.C.C45.C.C$24.C.C47.C.C45.C.C45.C.C45.C.C$24.C.C47.C.C
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3C.4C.2C.3C.4C.4C.5C.3C.4C.2C.3C.4C.4C.5C.3C.4C.2C.3C.4C.C$20.C.2C2.C
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12.C.C14.C.C12.C.C$51.C.C14.3C12.3C14.3C12.3C14.3C12.3C14.3C12.3C$51.
C.C$51.C.C$51.C.C$51.C.C!

Redstoneboi · Post by **Redstoneboi** » May 9th, 2026, 4:48 pm

demultiplexer, 32x64 per tile, arranged for 3 bits and 8 addresses

Code: Select all

x = 303, y = 240, rule = Banks-IV
33.3C14.3C12.3C14.3C12.3C14.3C12.3C14.3C12.3C14.3C12.3C14.3C12.3C14.
3C12.3C14.3C$33.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C
14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C$31.3C.16C.3C8.3C.16C.3C8.
3C.16C.3C8.3C.16C.3C8.3C.16C.3C8.3C.16C.3C8.3C.16C.3C8.3C.16C.3C$31.C
2.C16.C2.C8.C2.C16.C2.C8.C2.C16.C2.C8.C2.C16.C2.C8.C2.C16.C2.C8.C2.C
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8.3C.16C.3C8.3C.16C.3C8.3C.16C.3C8.3C.16C.3C8.3C.16C.3C$33.C.C14.C.C
12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.
C.C12.C.C14.C.C$33.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.
C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C$33.C.C14.C.C12.C.C14.C.C
12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.
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C14.C.C12.C.C14.C.C12.C.C14.C.C$33.C.C14.C.C12.C.C14.C.C12.C.C14.C.C
12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C$33.C.C
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12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C15.C.C3.C
.C$33.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C14.C.C12.C.C
14.C.C12.C.C14.C.C12.C.C14.C.C13.3C.5C.3C$33.C.C14.C.C12.C.C14.C.C12.
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2.2C.C$33.C.C29.C.C29.C.C29.C.C29.C.C29.C.C29.C.C29.C.C32.C.C3.C.2C$
33.C.C29.C.C29.C.C29.C.C29.C.C29.C.C29.C.C29.C.C30.3C.5C.3C$33.C.C29.
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18.2C.5C3.3C22.3C3.3C$33.C.3C.C3.C.C19.C.3C.C3.C.C19.C.3C.C3.C.C19.C.
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10C.6C.3C.3C.5C.10C.6C.3C.3C.5C.10C.6C.3C.3C.5C.10C.6C.3C.3C.5C.10C.
3C$2.C.C5.C.C5.C.C6.C2.C3.C3.C2.C2.C10.C2.2C2.C3.C3.C2.C2.C10.C2.2C2.
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Redstoneboi · Post by **Redstoneboi** » May 10th, 2026, 6:08 pm

i built a p2 mod 64 delay circuit. (idk if that's the correct naming convention)
for short let's just call it the "micro delayer" to be consistent with the name i used in my first post.

the main giant body takes 5 bits of input + 1 signal and outputs that signal delayed by any even number of ticks from 0 to 62. the delay is of course specified by the 5 bits of input.
you can get any arbitrary delay by first storing the 5-bit delay in some memory, then configuring a p64 binary counter to wait 64*n ticks before it reads that memory and sends it to the micro delayer.

Code: Select all

x = 730, y = 330, rule = Banks-IV
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the demo pattern tests this by first sending the max delay (+62) then later sends the min delay (+0). these inputs are found in the top left of the pattern.
the rest of the machine is configured in such a way that it sends the original signal and then the delayed signal in the same lane.
this signal pair is then sent to 2 construction arms. if the second signal is timed correctly*, it should trigger a "construct" action.

this construct action is actually caught by a "spark receiver" which simply turns it into a signal.
then that signal is sent straight into a doohickey device that explodes.

*the exact timing is `2n-3` ticks apart where n is the length of one of the construction arms found to the right of the pattern. too far apart and it's an "extend" action. too close together and it's invalid. fortunately, after a construct action, the length resets to 0, so i was able to fit both in the same pattern.

remember: we need to attach this thing to 5 bits of memory and a separate binary counter with any number of bits (recommend 11 extra bits for 16 total) to get the range for 65536 cells.
we also need a second copy of that circuit, possibly even a THIRD, to get the full 4-signal volley needed to send a single construction action.

whoever said a Banks-IV self-replicating machine would be "Somewhere around 100 billion cells" on the wikipedia article for Codd's CA clearly hasn't actually tried building one

Redstoneboi · Post by **Redstoneboi** » May 11th, 2026, 1:27 pm

p18 serial to parallel
can support higher periods by adjusting the delay at the top of each module
note that the fastest convenient serial signal is p10 but an xor gate recovers at p18

Code: Select all

x = 315, y = 89, rule = Banks-IV
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every component i make is exactly 32-wide so far. i could widen some components to save overall population but i think working in powers of 2 would make the computer run faster in hashlife. maybe.
the component i will be prioritizing optimizations on will be the demux and mem cells. i will try to keep those hashlife friendly but i want to store as much data as possible in the least population given a power of 2 bounding box. i think serial streams are way more efficient than multiple memory cells. when i say "as much data as possible" i mean "as much data as possible". i will try packing 256 bits in one cell. i will probably only be using 32 bits for addresses though. 64 bits would be overkill and i don't think your computer would like storing that much information to begin with.

the signals should be as closely packed as our gates can get away with, though it looks like p18 is the fastest my XOR gate can handle. i'll probably have to re-do the demux to support that speed.
on another note, p18 is just 2 ticks shy of p16. similarly, the andnot gate is around p34 for some cases, so that's again 2 ticks shy of p32. you can't make this up. it feels like this rule is always a few steps away from being efficient but sometimes it just barely isn't.

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