Hunting wrote: March 16th, 2020, 12:24 pm
dvgrn wrote: March 16th, 2020, 11:29 am
You can if you want to.
How? What did they do, exactly?
Well, they made lists of things, and shared them -- pushed different kinds of searches as far as they could be pushed. A big item was running all polyominoes to stability, for some reason: that was how the switch engine was found. But we don't really need to do that. Polyplets, maybe, but not just polyominoes -- that was just some kind of arbitrary 1970s recreational-math bias, due no doubt to Solomon Goulomb's influence.
An example of information well shared would be a complete stamp collection of all the different ways a glider and a knightship can collide. That will end up being a lot more useful than somebody trying all the possible collisions and posting the ones that "look interesting", build a still life, release a glider, etc.
Along similar lines, a stamp collection of a glider colliding with every possible relative position of every common still life would be good, to advance slow-salvo technology. It will come in handy eventually.
Hunting wrote: March 16th, 2020, 12:24 pmThat sounds good. What is mod 8, though? At least a few examples?
Embarrassingly, this kind of one-time-turner collection hasn't _quite_ been done properly for Life yet. The closest we've come is
simsim314's various sub-collections. The third post in that link shows one-time turners in Life:
Code: Select all
x = 1393, y = 1729, rule = LifeHistory
34$867.2C.C.2C.C$867.C.2C.C.2C2$864.2C11.2C$864.C12.C$865.C12.C$864.
2C11.2C2$864.2C11.2C$864.C12.C$865.C12.C$864.2C11.2C5$864.2C11.2C$
864.C12.C$865.C12.C$864.2C11.2C2$864.2C11.2C$864.C12.C$865.C12.C$864.
2C11.2C2$867.2C.C.2C.C$867.C.2C.C.2C143$528.2C83.2C105.2C101.C91.2C3.
C94.2C3.C98.2C101.2C93.2C$528.2C82.C.C105.2C100.C.C89.C2.C.C.C92.C2.C
.C.C96.C2.C100.2C93.C.C$613.C208.2C91.2C3.C94.2C3.C98.2C197.C$519.C
196.C$518.C.C194.C.C100.C403.C94.C$519.C195.2C100.C.C294.2C105.C.C92.
C.C$611.C205.2C295.2C105.C.C93.2C$610.C.C609.C$611.C22$267.2C.C.2C.C
271.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C$267.C.2C.C.2C271.C99.C
99.C99.C99.C99.C99.C99.C99.C$548.C99.C99.C99.C99.C99.C99.C99.C99.C$
264.2C11.2C$264.C12.C$265.C12.C$264.2C11.2C2$264.2C11.2C$264.C12.C$
265.C12.C$264.2C11.2C5$264.2C11.2C$264.C12.C$265.C12.C$264.2C11.2C2$
264.2C11.2C$264.C12.C$265.C12.C$264.2C11.2C2$267.2C.C.2C.C$267.C.2C.C
.2C143$521.2C99.C91.2C4.C103.2C96.2C90.2C4.C98.2C105.2C98.C$521.2C98.
C.C90.C.C2.C.C102.2C96.2C90.C.C2.C.C97.C.C7.C96.C.C96.C.C$617.C4.C92.
C4.C206.C87.C4.C99.C7.C.C91.2C3.C97.2C$517.C98.C.C209.C97.C.C200.C92.
2C$516.C.C97.2C209.C.C96.2C401.C$517.C309.2C499.C.C$1328.2C24$547.3C
97.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C$547.C99.C99.C99.C99.C99.C99.
C99.C99.C$548.C99.C99.C99.C99.C99.C99.C99.C99.C$277.2C$277.C$278.C$
277.2C2$277.2C$277.C$278.C$277.2C5$277.2C$277.C$278.C$277.2C2$277.2C$
277.C$278.C$277.2C146$518.2C93.C103.C94.C99.2C6.2C95.2C106.2C85.2C6.
2C103.2C$518.C.C91.C.C101.C.C92.C.C98.2C5.C.C94.C.C106.2C85.2C5.C.C
103.C.C$519.C92.2C102.C.C93.C106.2C96.C201.2C105.2C$717.C97.2C$524.C
289.C.C$523.C.C288.2C$524.C192.2C404.2C$613.C103.2C403.C.C$612.C.C
507.2C199.2C$613.2C708.2C$1017.C$1016.C.C$1017.2C18$267.2C.C.2C.C271.
3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C$267.C.2C.C.2C271.C99.C99.C
99.C99.C99.C99.C99.C99.C$548.C99.C99.C99.C99.C99.C99.C99.C99.C$277.2C
$277.C$278.C$277.2C2$277.2C$277.C$278.C$277.2C2$267.2C.C.2C.C$267.C.
2C.C.2C2$264.2C$264.C$265.C$264.2C2$264.2C$264.C$265.C$264.2C2$267.2C
.C.2C.C$267.C.2C.C.2C143$520.2C89.C97.C129.C100.C98.2C98.2C81.C90.C$
520.2C88.C.C95.C.C3.C123.C.C98.C.C97.2C98.2C80.C.C88.C.C$611.C3.C93.C
3.C.C123.C100.C280.2C89.2C$614.C.C96.2C593.2C$515.2C97.2C691.C.C$515.
2C791.C$828.2C385.2C$828.C.C383.C.C$829.C200.2C183.C$931.2C97.C.C$
931.C.C97.C100.2C$932.C199.C.C$1133.C18$267.2C.C.2C.C271.3C97.3C97.3C
97.3C97.3C97.3C97.3C97.3C97.3C$267.C.2C.C.2C271.C99.C99.C99.C99.C99.C
99.C99.C99.C$548.C99.C99.C99.C99.C99.C99.C99.C99.C$277.2C$277.C$278.C
$277.2C2$277.2C$277.C$278.C$277.2C2$267.2C.C.2C.C$267.C.2C.C.2C2$277.
2C$277.C$278.C$277.2C2$277.2C$277.C$278.C$277.2C2$267.2C.C.2C.C$267.C
.2C.C.2C143$520.C99.C99.C93.C5.C99.C99.C99.C99.C99.C$519.C.C97.C.C97.
C.C91.C.C3.C.C92.C4.C.C97.C.C97.C.C92.2C3.C.C97.C.C$519.2C98.2C98.2C
93.C4.2C92.C.C3.2C93.C4.2C98.2C93.2C3.2C98.2C$914.C98.C.C298.2C$1014.
C101.C197.2C$1115.C.C$1116.C24$547.3C97.3C97.3C97.3C97.3C97.3C97.3C
97.3C97.3C$547.C99.C99.C99.C99.C99.C99.C99.C99.C$548.C99.C99.C99.C99.
C99.C99.C99.C99.C$264.2C11.2C$264.C12.C$265.C12.C$264.2C11.2C2$264.2C
11.2C$264.C12.C$265.C12.C$264.2C11.2C2$267.2C.C.2C.C$267.C.2C.C.2C2$
277.2C$277.C$278.C$277.2C2$277.2C$277.C$278.C$277.2C146$521.2C3.C94.C
95.2C94.2C106.2C3.C94.2C98.C103.C91.2C$521.2C2.C.C92.C.C90.C2.C.C93.C
.C106.2C2.C.C93.2C2.2C93.C.C101.C.C86.C2.C.C$525.2C94.C90.C.C2.C95.C
111.2C98.C.C88.C3.2C103.C86.C.C2.C$713.C312.C88.C.C194.2C$1115.2C$
620.2C190.2C412.2C$619.C.C190.2C411.C2.C$620.C605.2C23$267.2C.C.2C.C
271.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C$267.C.2C.C.2C271.C99.C
99.C99.C99.C99.C99.C99.C99.C$548.C99.C99.C99.C99.C99.C99.C99.C99.C$
264.2C$264.C$265.C$264.2C2$264.2C$264.C$265.C$264.2C2$267.2C.C.2C.C$
267.C.2C.C.2C2$277.2C$277.C$278.C$277.2C2$277.2C$277.C$278.C$277.2C2$
267.2C.C.2C.C$267.C.2C.C.2C143$514.C106.C98.C91.2C106.C93.C113.C89.C
96.C$513.C.C97.2C5.C.C96.C.C90.2C105.C.C7.C83.C.C111.C.C87.C.C94.C.C$
513.2C98.2C6.2C97.C198.2C7.C.C82.2C112.2C89.2C91.C3.2C$929.2C379.C.C$
713.C99.C497.2C$512.2C198.C.C97.C.C197.2C$512.2C198.2C98.2C197.C.C
108.2C$1012.C109.C.C97.C$1123.C97.C.C$1221.2C21$267.2C.C.2C.C271.3C
97.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C$267.C.2C.C.2C271.C99.C99.C
99.C99.C99.C99.C99.C99.C$548.C99.C99.C99.C99.C99.C99.C99.C99.C$264.2C
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2C.C.2C2$264.2C11.2C$264.C12.C$265.C12.C$264.2C11.2C2$264.2C11.2C$
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2C.C271.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C97.3C$267.C.2C.C.2C271.C
99.C99.C99.C99.C99.C99.C99.C99.C$548.C99.C99.C99.C99.C99.C99.C99.C99.
C$277.2C$277.C$278.C$277.2C2$277.2C$277.C$278.C$277.2C5$277.2C$277.C$
278.C$277.2C2$277.2C$277.C$278.C$277.2C!
The problems here are 1) there are a lot of duplicates, and 2) classes 0 through 7 include outputs of both glider colors. There are actually sixteen classes -- [0..7] color-changing and [0..7] color-preserving -- and they really ought to all be separate from each other.
Does that give the general idea? For a LeapLife example, it looks like a boat turner will be in class 0 (mod 8), because it slows down a glider by 8 ticks compared with what happens if it just travels through empty space:
Code: Select all
x = 80, y = 41, rule = B2n3/S23-qHistory
13.BC9.C38.BC$13.2BC9.C37.2BC$13.3CB6.3C37.3CB$14.4B46.4B$15.4B46.4B$
16.4B46.4B$17.4B46.4B$18.4B46.4B$19.4B46.4B$20.4B46.4B$21.4B46.4B$21.
6B44.6B$20.8B42.8B$20.9B41.9B$22.7B43.7B$23.3B2C2B43.3B2C2B$23.3BCBC
44.3BCBC$22.4B.C44.4B.C$21.4B46.4B$20.4B46.4B$19.4B$18.4B$17.4B$66.B$
64.6B$63.8B$62.9B$62.7B$61.2B2C3B$62.CBC3B$63.C.4B$66.4B$67.4B$68.4B$
69.4B$70.4B$71.3BD$72.3BD$.D3B68.3D$D3B$3D!
#C [[ STOP 160 ]]
So there's useful research to be done until at least one relatively inexpensive turner has been discovered for each of the 16 possible classes for 0 degrees, 90 degrees, and 180 degrees.
Glider syntheses
How do I find what the cheapest synthesis is for, say, a fishhook eater, if I wanted a complete synth of integral-with-hook? Is there a stamp collection of syntheses available somewhere? The closest I can find is that there's supposed to be a "synthesis mark" in some collection or other, but I don't see it in the main oscillator collection. (?) Anyway an actual single-pattern stamp collection or ZIP file would be handy. Maybe LeapLife needs more forum threads, like a LeapLife Collections thread where people can post and update all these various stamp collections. Or would pages in the LifeWiki User namespace be better?
Wild Speculation
Stable conduits also haven't been definitely ruled out in LeapLife yet. Blocks and boats are known catalysts, and there are a bunch of others that I forget offhand. So a stamp collection would be handy to have for catalysts, too.
Hunting wrote: February 11th, 2020, 10:49 amI posted this G-to-knightship some while ago...
Hmm, two blocks -- that's pretty cheap. Probably makes it worth creating a stamp collection of knightships crashing into all common objects in all possible ways (for some reasonable definition of "common"). When you start producing recipes for your universal construction arm, and you can collect FIRE recipes for sixteen possible directions instead of the mere eight that B3/S23 supports, that will be mighty impressive.
Hunting wrote: February 11th, 2020, 10:49 amIs it totally hopeless to invent a p22 or p24 splitter for intermittent streams? I have the feeling that if we can just let's say AbhpzTa's attention for a while again, this will suddenly turn out to be possible -- and then we'll be a _lot_ closer to universal construction.
I think it is, but I don't have a proof. p22 or p24 does not support any stream-crossing.
Yeah. Thing is, p30 in Life doesn't support stream crossings, either, and yet after a lot of work people came up with splitters that worked at p30, and eventually ways to get two intermittent streams to cross (with a lot of logic gates). Reflectors for intermittent p30 streams were easier than they seem to be in LeapLife so far, though, and admittedly the lower the period, the harder it is do this kind of thing.
-- But has anyone tried all possible interactions between two p22 guns plus an extra p22, or two p24 guns plus as many p6 TLs as might be needed? Are there any configurations that make short-lived sparks that a glider could bounce off of? Once a cheap p22 or p24 reflector exists, some more options might open up for sneaky duplications of an intermittent stream, maybe with signal inversion trickery.