One Bit Difference

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
knightlife
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One Bit Difference

Post by knightlife » October 6th, 2009, 9:55 am

This contrived pattern showcases how a single bit makes a big difference.

Spacehip predecessor:

Code: Select all

x = 68, y = 24, rule = B3/S23
7bo39bo$6bob3o35bob3o$5b2obo36b2obo$7bo39bo$6bobo39bo$7bobo37bobo$6bob
3o35bob3o$4b4ob2o33b4ob2o$3bo3bobobo31bo3bobobo$4bo2b2o2bo32bo2b2o2bo$
5b3o3bo33b3o3bo$5b2o3bo34b2o3bo$3b2o2bo2bobo30b2o2bo2bobo$3b2o2b3ob2o
30b2o2b3ob2o$2bo2b2obo33bo2b2obo$3o2bobo32b3o2bobo$o2b3o2bo5b2o4b2o4b
2o12bo2b3o2bo5b2o4b2o4b2o$o13bo5bo6bo12bo13bo5bo6bo$2o13bo5bo4bo13b2o
13bo5bo4bo$bo14bo3b2o3bo15bo14bo3b2o3bo$2b2o13bobob2o2b2o15b2o13bobob
2o2b2o$3b6o4bo2b4ob6o16b6o4bo2b4ob6o$5bo3b8obobo2bo2bo18bo3b8obobo2bo
2bo$14bo11b2o26bo11b2o!
Different spaceships, different directions!

Sokwe
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Re: One Bit Difference

Post by Sokwe » October 7th, 2009, 12:54 am

Nice, although you didn't need all of those cells connecting the blocks.

Code: Select all

x = 68, y = 23, rule = B3/S23
7bo39bo$6bob3o35bob3o$5b2obo36b2obo$7bo39bo$6bobo39bo$7bobo37bobo$6bob
3o35bob3o$4b4ob2o33b4ob2o$3bo3bobobo31bo3bobobo$4bo2b2o2bo32bo2b2o2bo$
5b3o3bo33b3o3bo$5b2o3bo34b2o3bo$3b2o2bo2bobo30b2o2bo2bobo$3b2o2b3ob2o
30b2o2b3ob2o$2bo2b2obo33bo2b2obo$3o2bobo32b3o2bobo$o2b3o2bo5b2o4b2o4b
2o12bo2b3o2bo5b2o4b2o4b2o$o13bo5bo5bo13bo13bo5bo5bo$2o38b2o$bo39bo$2b
2o38b2o$3b6o34b6o$5bo3bo35bo3bo!
How did you find it?

P.S.
Another spaceship predecessor, although not nearly so interesting:

Code: Select all

x = 9, y = 9, rule = B3/S23
6ob2o$6ob2o$7b2o$2o5b2o$2o5b2o$2o5b2o$2o$2ob6o$9o!
One cell difference: Kok's galaxy or lightweight spaceship (this is obviously a much more trivial case)
-Matthias Merzenich

knightlife
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Re: One Bit Difference

Post by knightlife » October 7th, 2009, 7:11 am

Sokwe wrote:Nice, although you didn't need all of those cells connecting the blocks.
I forgot to mention my goal was to create a single connected object with no induction gaps or pseudo objects. I was hoping to make it a single blob but resorted to the blocks to finish the LWSS cleanup. Connecting the blocks was easy but necessary to reach my goal of a single polyplet object.

I found this when trying to clean up another dual spaceship reaction where the debris would swallow up the MWSS. But I came across the single bit that produced a completely new LWSS while destrying the MWSS. From there I wondered if I could do dual cleanup jobs with one object. I came close to the goal but then had to add the blocks.

I think this is the closest I came before adding the blocks:

Code: Select all

x = 41, y = 15, rule = B3/S23
4bobo29bo$5bobo27bobo$4bob3o25bob3o$2b4ob2o23b4ob2o$bo3bobobo21bo3bobo
bo$2bo2b2o2bo22bo2b2o2bo$3b3o3bo23b3o3bo$3b2o3bo24b2o3bo$b2o2bo2bobo
20b2o2bo2bobo$b2o2b3ob2o20b2o2b3ob2o$o2b2obo23bo2b2obo$o2bobo24bo2bobo
$b3o2bo24b3o2bo$3bo2b2o25bo2b2o$3b3o27b3o!
It is easy to clean up one mess but nearly impossible to clean up two messes!

knightlife
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Re: One Bit Difference

Post by knightlife » October 7th, 2009, 8:55 am

Here is a one=bit glider:

Code: Select all

x = 36, y = 11, rule = B3/S23
3b3o27b3o$2b2obo26b2obo$2bo2bo26bo2bo$bo3bo25bo3bo$bo3bo25bo3bo$3ob2o
24b3ob2o$2bo2bo26b2obo$2bobo27bobo$2bobo27bobo$bo3bo25bo3bo$b2ob2o25b
2ob2o!
Unusual since a cell in the center normally ruins everything. :shock:

ship to fleet:

Code: Select all

x = 4, y = 4, rule = B3/S23
2b2o$bobo$b2o$o!
Spaceship predecessors, LWSS to MWSS and MWSS to HWSS:

Code: Select all

x = 30, y = 35, rule = B3/S23
o19bo7bo$bo5bo13bo5bo$2bo3bo15bo3bo$3b3o17b3o$6bo19bo26$o19bo8bo$bo6bo
12bo6bo$2bo4bo14bo4bo$3b4o16b4o$7bo19bo!

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Extrementhusiast
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Re: One Bit Difference

Post by Extrementhusiast » January 11th, 2010, 7:35 pm

R-loaf gets oriented differently:

Code: Select all

OO...
O....
.OOOo
The small o is the removable cell.
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calcyman
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Re: One Bit Difference

Post by calcyman » January 21st, 2010, 1:05 pm

This is the most remarkable one-cell-difference pair of patterns I have seen:

Code: Select all

x = 82, y = 39, rule = B3/S23
16boo3boo36boo3boo$15bobbobobbo34bobbobobbo$11boo3boo3boo3boo26boo3boo
3boo3boo$11bo15bo26bo15bo$8boobo15boboo20boobo15boboo$7boboboo13boobob
o18boboboo13boobobo$7bobo5b3o3b3o5bobo18bobo5b3o3b3o5bobo$5boobbo5bobo
3bobo5bobboo14boobbo5bobo3bobo5bobboo$4bo4boo4b3o3b3o4boo4bo12bo4boo4b
3o3b3o4boo4bo$4b5o21b5o12b5o21b5o$8bo21bo20bo21bo$bb4o27b4o8b4o27b4o$
bbobbo27bobbo8bobbo27bobbo$$16boo3boo36boo3boo$bo4b3o8bo3bo8b3o4bo6bo
4b3o8bo3bo8b3o4bo$obo3bobo5bo9bo5bobo3bobo4bobo3bobo5bo9bo5bobo3bobo$o
bo3b3o5boo7boo5b3o3bobo4bobo3b3o5boo7boo5b3o3bobo$bo17bo17bo6bo17bo17b
o$18bobo40b3o$bo17bo17bo6bo17bo17bo$obo3b3o5boo7boo5b3o3bobo4bobo3b3o
5boo7boo5b3o3bobo$obo3bobo5bo9bo5bobo3bobo4bobo3bobo5bo9bo5bobo3bobo$b
o4b3o8bo3bo8b3o4bo6bo4b3o8bo3bo8b3o4bo$16boo3boo36boo3boo$$bbobbo27bo
bbo8bobbo27bobbo$bb4o27b4o8b4o27b4o$8bo21bo20bo21bo$4b5o21b5o12b5o21b
5o$4bo4boo4b3o3b3o4boo4bo12bo4boo4b3o3b3o4boo4bo$5boobbo5bobo3bobo5bo
bboo14boobbo5bobo3bobo5bobboo$7bobo5b3o3b3o5bobo18bobo5b3o3b3o5bobo$7b
oboboo13boobobo18boboboo13boobobo$8boobo15boboo20boobo15boboo$11bo15bo
26bo15bo$11boo3boo3boo3boo26boo3boo3boo3boo$15bobbobobbo34bobbobobbo$
16boo3boo36boo3boo!
A single cell in the symmetric centre of the oscillator causes it to change from period 26 to period 29.
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ColorfulGalaxy
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Re: One Bit Difference

Post by ColorfulGalaxy » July 24th, 2020, 4:53 am

Code: Select all

x = 0, y = 0, rule = B3/S23
11bo$10bo$11b2o$10bo7$2bo$2o$2b2o$bo!
#C [[ GPS 9 ]]
If you remove a rotor cell from the clock, it will become a glider.
In this case, the clock was hit and became a block.

_____________________________________________________________________

Code: Select all

x = 0, y = 0, rule = QuadLife
6A.2D$6A.2D$7.2D$2C5.2D$2C5.2D$2C5.2D$2C$2C.6B$2CA6B!
Ended up with a phi spark and a green fish.

Code: Select all

x = 0, y = 0, rule = QuadLife
6AC2D$6A.2D$7.2D$2C5.2D$2C5.2D$2C5.2D$2C$2C.6B$2CA6B!
Ended up with four gliders.

Code: Select all

x = 0, y = 0, rule = QuadLife
6A.2D$6A.2D$7.2D$2C5.2D$2C5.2D$2C5.2D$2C$2CA6B$2C.6B!
A complete mess.

_____________________________________________________________________

Code: Select all

x = 0, y = 0, rule = QuadLife
4.D$4.D$4.D2$3D.A.3D2$4.D$4.D$4.D!   ------   I found this on the Wiki

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muzik
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Re: One Bit Difference

Post by muzik » July 24th, 2020, 11:17 am

It certaintly is entertaining to see the many ways of generating a familiar four from one of its constituent objects simply by modifying a single bit:

Code: Select all

x = 61, y = 23, rule = B3/S23
4bo22b2o$14bo11bobo$3b3o7b3o10b2o$25bo15$12bo$4bo8bo28b2o13b2o$b2o7b6o
9b3o13b2obo11bo2b2o$o2bo9bo10bo2bo14b2o13b2o$b2o9bo12b2o!

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Hdjensofjfnen
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Re: One Bit Difference

Post by Hdjensofjfnen » July 24th, 2020, 11:48 am

I found this a while back on the Discord:
It's not the same shift, but this is still weird:

Code: Select all

x = 58, y = 13, rule = B3/S23
14bo42bo$14bobo38b2o$14b2o40b2o2$6bo41bo$6bobo39bobo$6b2o40b2o$3o39b3o
$2bo41bo$bo41bo$9b2o40b2o$8b2o40b2o$10bo41bo!
It's not a one-cell difference per se, but one glider is advanced by a single generation.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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ColorfulGalaxy
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Re: One Bit Difference

Post by ColorfulGalaxy » July 27th, 2020, 4:54 am

Code: Select all

x = 24, y = 22, rule = B3/S23
bo$2b2o$2o6$22bo$21bo$22b2o$21bo7$13bo$11b2o$13b2o$12bo!
#C [[ GPS 16 ]]
I also found that if you remove ANY one of the rotor cells in the clock,
it will become a glider.
I haven't found a way to destruct a clock or a Galaxy with only one glider.

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dvgrn
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Re: One Bit Difference

Post by dvgrn » July 27th, 2020, 5:58 am

ColorfulGalaxy wrote:
July 27th, 2020, 4:54 am
I haven't found a way to destruct a clock or a Galaxy with only one glider.
It's very easy to find solutions for both of them. (And it looks like GUYTU6J has done the same thing even faster than I did.)

The Seeds of Destruction Game is highly recommended for this kind of thing, if you can get it to run. A search program like gencols is much better -- you can get all possible answers, instead of just one random sample answer. There's a link to another script in GUYTU6J's answer. But for this kind of problem, it should only take a few seconds to find a one-glider destruction with Seeds of Destruction.

You've posted these two patterns in three different threads this morning. In the future, could you please try to avoid posting the same thing in multiple places? As the forum rules mention, this is an academic forum, not a chat or microblogging platform.

You're doing exactly what a lot of new forum users do, but it would be better if you didn't keep doing it! If you want a safe place where you can post as often as you want about whatever you want, Entity Valkyrie 2 has been nice enough to create a thread for you on the Sandbox. Please try it out!

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Re: One Bit Difference

Post by MathAndCode » September 10th, 2020, 9:40 am

I think that a good way for LifeViewer to demonstrate this and show how the difference gradually grows would be to enable LifeViewer to run three different simulations in the three different color aspects (red, green, and blue) all at once. Or maybe this feature is already present, but I don't know about it because I'm still fairly new.
ConwayLife color aspects.gif
ConwayLife color aspects.gif (23.22 KiB) Viewed 10939 times
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dvgrn
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Re: One Bit Difference

Post by dvgrn » September 10th, 2020, 10:09 am

MathAndCode wrote:
September 10th, 2020, 9:40 am
I think that a good way for LifeViewer to demonstrate this and show how the difference gradually grows would be to enable LifeViewer to run three different simulations in the three different color aspects (red, green, and blue) all at once. Or maybe this feature is already present, but I don't know about it because I'm still fairly new.ConwayLife color aspects.gif
Create a pattern in the rule TripleB3S23.

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Re: One Bit Difference

Post by MathAndCode » September 10th, 2020, 10:31 am

dvgrn wrote:
September 10th, 2020, 10:09 am
MathAndCode wrote:
September 10th, 2020, 9:40 am
I think that a good way for LifeViewer to demonstrate this and show how the difference gradually grows would be to enable LifeViewer to run three different simulations in the three different color aspects (red, green, and blue) all at once. Or maybe this feature is already present, but I don't know about it because I'm still fairly new.ConwayLife color aspects.gif
Create a pattern in the rule TripleB3S23.
Thank you for informing me that that exists.

Code: Select all

x = 4, y = 3, rule = TripleB3S23
2.G$.3G$AC.G!
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ColorfulGalaxy
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Re: One Bit Difference

Post by ColorfulGalaxy » October 19th, 2020, 5:24 pm

Loaf predecessor + 1 cell = Loaf predecessor pointing in different direction

Code: Select all

x = 0, y = 0, rule = B3/S23
3o$o$o5$3o$2o$o5$b2o$2o$o!

MathAndCode
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Re: One Bit Difference

Post by MathAndCode » October 19th, 2020, 5:45 pm

ColorfulGalaxy wrote:
October 19th, 2020, 5:24 pm
Loaf predecessor + 1 cell = Loaf predecessor pointing in different direction

Code: Select all

x = 0, y = 0, rule = B3/S23
3o$o$o5$3o$2o$o5$b2o$2o$o!
Doing the same with a traffic light predecessor changes the phase.

Code: Select all

x = 3, y = 5, rule = DoubleB3S23
.A2$C.C$.C$.C!
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PC101
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Re: One Bit Difference

Post by PC101 » December 2nd, 2020, 2:00 pm

Glider

Code: Select all

x = 10, y = 6, rule = B3/S23
2o5b2o$2o5b2o2$9bo$b2o5b2o$b2o5b2o!
Puffer Suppressor
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dvgrn
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Re: One Bit Difference

Post by dvgrn » December 2nd, 2020, 6:04 pm

Here's a one-bit difference pattern that I built as an experiment in 2003.

I guess it might count as a first-ever seed pattern, except that it's a "nothing seed" and is triggered by a one-bit spark, not a glider:

Code: Select all

#C pseudorandom Herschel soup
#C 
x = 146, y = 71, rule = DoubleB3S23
35.CC$35.C.C10.C$36.C.C8.C.C$37.C9.CC30.CC37.C$79.CC36.C.C$118.CC$$69.
CC25.CC$69.CC25.C.C$97.C.C$98.C27.C$83.CC40.C.C$83.C.C39.CC$52.CC30.C$
52.C.C$53.C68.CC$122.CC$$39.CC$40.C$40.C.C87.CC$41.CC45.CC40.CC$60.CC
26.CC$49.CC9.CC$12.C36.CC$10.AC.C$11.C.C8.CC$12.C9.CC7.CC109.CC$5.C25.
CC52.CC55.C$4.C.C78.CC18.CC36.3C$5.C99.CC38.C4$17.CC.C88.CC$17.C.CC39.
C48.CC$41.CC16.C.C$..CC37.CC17.C.C$..CC57.CC$$9.CC$9.CC$43.CC$43.CC13$
CC$CC$38.C49.CC$37.C.C48.CC$36.C.C54.C$36.CC54.C.C$92.C.C$93.C$103.CC$
103.CC$11.CC$11.CC86.CC$99.CC$5.CC$5.CC!
Here's the context, in case anyone is interested in ancient history:
In 2003, dvgrn wrote:I was reminded that I wanted to check to see how easy it was to
convert the average Herschel conduit into a clean-burning fuse. One
horrible thought I had was a Game-of-Life equivalent of those mate-in-
four chess problems that I always hated [just because the board
positions generally seem so contrived, and it's usually easy to mate
in five or six...] In this case it would be:

"Add one ON cell to the following pattern to produce an empty
universe in less than 1000 generations."

Along those lines, here's some pseudorandom soup I just cooked up --
modified pieces of the first four conduits I tried.* It fails a
number of randomness tests -- too many boats and long boats; I was
using them to reflect gliders, but I should really have used larger
random-looking constellations like the one on the lower right.

But I don't want to make this into an attractive-looking puzzle, for
fear someone might like it and produce more of the darn things. Life
is hard enough already.

#C pseudorandom Herschel soup
#C if your Life reader reads B's as b's, this is a stable pattern;
#C if it reads B's as o's, this pattern will self-destruct in
#C 904 generations [the B is in the middle of the fourth line]
x = 146, y = 71, rule = B3/S23
35boo$35bobo10bo$36bobo8bobo$37bo9boo30boo37bo$79boo36bobo$118boo$$69b
oo25boo$69boo25bobo$97bobo$98bo27bo$83boo40bobo$83bobo39boo$52boo30bo$
52bobo$53bo68boo$122boo$$39boo$40bo$40bobo87boo$41boo45boo40boo$60boo
26boo$49boo9boo$12bo36boo$10bBobo$11bobo8boo$12bo9boo7boo109boo$5bo25b
oo52boo55bo$4bobo78boo18boo36b3o$5bo99boo38bo4$17boobo88boo$17boboo39b
o48boo$41boo16bobo$bboo37boo17bobo$bboo57boo$$9boo$9boo$43boo$43boo13$
oo$oo$38bo49boo$37bobo48boo$36bobo54bo$36boo54bobo$92bobo$93bo$103boo$
103boo$11boo$11boo86boo$99boo$5boo$5boo!

It's obviously very easy to throw together miscellaneous debris that
can catalyze Herschel reactions. When I find an actual use for this
idea, you can be sure I'll post it --
Guess I'm a slow thinker. It took over a decade for that seed of an idea to turn into the self-destruct circuitry in the 10hd Demonoid.

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otismo
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Re: One Bit Difference

Post by otismo » December 2nd, 2020, 6:41 pm

interesting thread

Code: Select all

x = 29, y = 9, rule = B3/S23
3b2o2b2o11b2ob2o2b2o$2obo3b2o12bobo3b2o$bobo3bo13bobo$2bo19bo$7bo$6b2o
18b2o$5bo2bo16bo2bo$6bobo17bobo$7bo19bo!
EDIT by dvgrn: Post was reported because this is a three-bit difference.
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Re: One Bit Difference

Post by MathAndCode » December 3rd, 2020, 12:05 am

dvgrn wrote:
December 2nd, 2020, 6:04 pm
In 2003, dvgrn wrote:I was reminded that I wanted to check to see how easy it was to
convert the average Herschel conduit into a clean-burning fuse. One
horrible thought I had was a Game-of-Life equivalent of those mate-in-
four chess problems that I always hated [just because the board
positions generally seem so contrived, and it's usually easy to mate
in five or six...] In this case it would be:

"Add one ON cell to the following pattern to produce an empty
universe in less than 1000 generations."

Along those lines, here's some pseudorandom soup I just cooked up --
modified pieces of the first four conduits I tried.* It fails a
number of randomness tests -- too many boats and long boats; I was
using them to reflect gliders, but I should really have used larger
random-looking constellations like the one on the lower right.
I like your idea of ConwayLife puzzles. In fact, a puzzle that you made about activating a one-glider seed was my inspiration for creating this thread. The idea was that clever users would figure out the engine based off of the displacements that the ash and gliders each repeated at then manually go through the methods of perturbing it with one XWSS. Unfortunately, perturbing a c/2 puffer engine with more than one XWSS makes the number of possibilities discouragingly large. It's possible that someone could create a computer program to solve it, but that would likely ruin the fun.
Combining the two concepts, find a spaceship that can be converted into a dirty puffer that makes the following ash (or alternatively, a puffer that makes said ash and can be turned into a spaceship) by changing only one cell. I have put several hints in the code block and the answer at the very bottom.

Code: Select all

x = 629, y = 529, rule = B3/S23
31b2o126b2o126b2o126b2o126b2o$31bobo125bobo125bobo125bobo125bobo$32b2o
126b2o126b2o126b2o126b2o6$96b2o126b2o126b2o126b2o126b2o$96b2o126b2o126b
2o126b2o126b2o2$22b2o126b2o126b2o126b2o126b2o$22b2o126b2o126b2o126b2o
126b2o3$101b2o126b2o126b2o126b2o126b2o$101b2o126b2o126b2o126b2o126b2o
$75b2o126b2o126b2o126b2o126b2o$74bobo125bobo125bobo125bobo125bobo$26b
2o39b2o5b2o25b2o51b2o39b2o5b2o25b2o51b2o39b2o5b2o25b2o51b2o39b2o5b2o25b
2o51b2o39b2o5b2o25b2o$26b2o39b2o3b2o26bo2bo50b2o39b2o3b2o26bo2bo50b2o
39b2o3b2o26bo2bo50b2o39b2o3b2o26bo2bo50b2o39b2o3b2o26bo2bo$71bobo5b2o
19bo2bo2b2o91bobo5b2o19bo2bo2b2o91bobo5b2o19bo2bo2b2o91bobo5b2o19bo2b
o2b2o91bobo5b2o19bo2bo2b2o$71b2o5bobo20b2o3b2o91b2o5bobo20b2o3b2o91b2o
5bobo20b2o3b2o91b2o5bobo20b2o3b2o91b2o5bobo20b2o3b2o$10b3o35b2o28b2o58b
3o35b2o28b2o58b3o35b2o28b2o58b3o35b2o28b2o58b3o35b2o28b2o$31b2o14bo2b
o25b2o81b2o14bo2bo25b2o81b2o14bo2bo25b2o81b2o14bo2bo25b2o81b2o14bo2bo
25b2o$31b2o15b2o25bobo81b2o15b2o25bobo81b2o15b2o25bobo81b2o15b2o25bob
o81b2o15b2o25bobo$44b2o29b2o95b2o29b2o95b2o29b2o95b2o29b2o95b2o29b2o$
44b2o60b2o64b2o60b2o64b2o60b2o64b2o60b2o64b2o60b2o$106bobo125bobo125b
obo125bobo125bobo$107bo127bo127bo127bo127bo$32bo127bo127bo127bo127bo$
32bo127bo127bo127bo127bo$32bo7b2o118bo7b2o118bo7b2o118bo7b2o118bo7b2o
$40b2o58b2o66b2o58b2o66b2o58b2o66b2o58b2o66b2o58b2o$28b3o3b3o13b2o47b
o2bo53b3o3b3o13b2o47bo2bo53b3o3b3o13b2o47bo2bo53b3o3b3o13b2o47bo2bo53b
3o3b3o13b2o47bo2bo$49bobo48b2o75bobo48b2o75bobo48b2o75bobo48b2o75bobo
48b2o$50bo127bo127bo127bo127bo$4b2o126b2o126b2o126b2o126b2o$4b2o126b2o
126b2o126b2o126b2o$78b2o126b2o126b2o126b2o126b2o$58b2o18b2o106b2o18b2o
106b2o18b2o106b2o18b2o106b2o18b2o$58bobo125bobo125bobo125bobo125bobo$
59bo127bo127bo127bo127bo$619bo$25bo127bo127bo127bo127bo80bo$24bobo43b
2o80bobo43b2o80bobo43b2o80bobo43b2o80bobo43b2o34b3o$4b2o18bobo43b2o15b
2o43b2o18bobo43b2o15b2o43b2o18bobo43b2o15b2o43b2o18bobo43b2o15b2o43b2o
18bobo43b2o15b2o$4b2o19bo61b2o43b2o19bo61b2o43b2o19bo61b2o43b2o19bo61b
2o43b2o19bo61b2o$12b2o126b2o126b2o126b2o126b2o$11bo2bo124bo2bo124bo2b
o124bo2bo124bo2bo$12b2o32b2o92b2o32b2o92b2o32b2o92b2o32b2o92b2o32b2o$
45bo2bo124bo2bo124bo2bo124bo2bo124bo2bo$bo44bobo80bo44bobo80bo44bobo80b
o44bobo80bo44bobo$obo44bo80bobo44bo80bobo44bo80bobo44bo80bobo44bo$obo
125bobo125bobo125bobo125bobo$bo127bo127bo127bo127bo3$16bo22bo15b2o87b
o22bo15b2o87bo22bo15b2o87bo22bo15b2o87bo22bo15b2o$15bobo21bo14bo2bo85b
obo21bo14bo2bo85bobo21bo14bo2bo85bobo21bo14bo2bo85bobo21bo14bo2bo$6b2o
7bo2bo20bo15b2o77b2o7bo2bo20bo15b2o77b2o7bo2bo20bo15b2o77b2o7bo2bo20b
o15b2o77b2o7bo2bo20bo15b2o$6b2o8b2o116b2o8b2o116b2o8b2o116b2o8b2o116b
2o8b2o$35b3o3b3o119b3o3b3o119b3o3b3o119b3o3b3o119b3o3b3o2$39bo127bo127b
o127bo127bo$39bo127bo127bo127bo127bo$39bo127bo127bo127bo127bo41$427bo
$426bo$426b3o62$235bo$234bo$234b3o4$626bo$627b2o$626b2o56$43bo$42bo$42b
3o4$562bo$563b2o$562b2o62$498bo$499b2o$498b2o27$590bo$591b2o$590b2o33$
434bo$435b2o$434b2o27$526bo$527b2o$526b2o33$370bo$371b2o$370b2o27$462b
o$463b2o$462b2o33$306bo$307b2o$306b2o27$398bo$399b2o$398b2o!


























Try to find the puffer engine based on its period.




























Remember that we don't know of any non-constructed spaceships where the speed is a fraction with a very large numerator or denominator.









The number of columns that the ash repeats at divided by the period of the puffer is simply the puffer's speed, so this means that that the period of the spaceship and the number of columns that the ash repeats at must have a relatively simple ratio. You can probably guess the orthogonal speed that we have the most technology at, but you can use the displacement between the gliders to make sure.












The simplified speed is c/2.








The ash repeats every 128 columns, so this means that the puffer must have period 256.


























If you can't find any p256 puffer engines that work, remember that the ash can go through one or more period-dividing reactions, especially if the initial period is fairly small. Check the puffers and puffer engines whose periods are factors of 256.




Remember that the puffer engine must be one cell away from an ashless spaceship. You can use that to narrow down your search.


























The engine is the Coe ship. It's one cell away from LWSS on MWSS 3 (xq4_27du6ze98885).



























What I typed before posting the ash implies that I only perturbed the Coe ship's spark with one XWSS, but I shall confirm that here anyway. The remaining hints will gradually narrow down that XWSS.


























The XWSS that I used to perturb the Coe spark was a MWSS.















Try to figure out which side of the Coe ship I put the MWSS on.












There's not much room behind the LWSS to place a ship to perturb the Coe spark from, so I pertrubed it from the MWSS side.


























The perturbing MWSS has the same parity as the MWSS in the corresponding LWSS on MWSS 3.


























The perturbing MWSS has opposite orientation compared to the MWSS in the corresponding LWSS on MWSS 3.


























The perturbing MWSS has the opposite color from the MWSS in the corresponding LWSS on MWSS 3.


























The perturbing MWSS is an even number of lanes away from the MWSS in the corresponding LWSS on MWSS 3.


























The perturbing MWSS has the same parity as the MWSS in the corresponding LWSS on MWSS 3.
















Specifically, it is six lanes away.


This is the last hint before the answer. Only scroll down farther if you want the answer.





































rule = DoubleB3S23
.3C$5C$3C.2C$3.2C4$12.2C$8.A3C.2C$9.5C$10.3C3$10.4C$9.C3.C$13.C$9.C2.C
I am tentatively considering myself back.

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otismo
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Re: One Bit Difference

Post by otismo » December 5th, 2020, 7:15 pm

Code: Select all

x = 17, y = 23, rule = B3/S23
2b3o2$o5bo$o5bo$o5bo2$2b3o5b2o$10b2o3$2b2o$2b2o10$15b2o$15b2o!
Using the above seed, figure out where to put one Glider

such that it is converted into a Pulsar ( letter O ) and a Great S ( duh ) -

the oscillating initial O shall have an oscillating period, a Blinker;

the still life initial S shall have a still life period, a Block.

Please feel free to design a computer program that will do this.
"One picture is worth 1000 words; but one thousand words, carefully crafted, can paint an infinite number of pictures."
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PC101
Posts: 173
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Re: One Bit Difference

Post by PC101 » December 26th, 2020, 5:46 pm

Beehive -> Honey farm -> Nothing

Code: Select all

x = 69, y = 13, rule = B3/S23
38bo23bo$37bobo21bobo$37bobo21bobo$38bo23bo$19bo$bo17bo13b2o7b2o13b2o
7b2o$obo15bobo11bo2bo5bo2bo11bo2bo5bo2bo$obo15bobo12b2o7b2o13b2o7b2o$b
o17bo42bo$38bo23bo$37bobo21bobo$37bobo21bobo$38bo23bo!
Puffer Suppressor
Would we be able to know when we know everything there is to know?
How would we know what we don’t know that we don’t know?

The (34,7)c/156 caterpillar is finished!!! You can download it here.

MathAndCode
Posts: 5143
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Re: One Bit Difference

Post by MathAndCode » December 26th, 2020, 6:28 pm

PC101 wrote:
December 26th, 2020, 5:46 pm
Beehive -> Honey farm -> Nothing
It also works on the inside.

Code: Select all

x = 69, y = 13, rule = B3/S23
38bo23bo$37bobo21bobo$37bobo21bobo$38bo23bo2$bo17bo13b2o7b2o13b2o7b2o
$obo15b3o11bo2bo5bo2bo11bo2bo5bo2bo$obo15bobo12b2o7b2o13b2o7b2o$bo17b
o$38bo23bo$37bobo21b3o$37bobo21bobo$38bo23bo!
I am tentatively considering myself back.

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PC101
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Re: One Bit Difference

Post by PC101 » January 12th, 2021, 10:46 pm

A little tangent, but I found a way to move a beehive using the beehive -> honey farm reaction:

Code: Select all

x = 13, y = 5, rule = B3/S23
11bo$b2o8bo$o2bo6bobo$b2o7bobo$11bo!
Puffer Suppressor
Would we be able to know when we know everything there is to know?
How would we know what we don’t know that we don’t know?

The (34,7)c/156 caterpillar is finished!!! You can download it here.

MathAndCode
Posts: 5143
Joined: August 31st, 2020, 5:58 pm

Re: One Bit Difference

Post by MathAndCode » January 12th, 2021, 10:59 pm

PC101 wrote:
January 12th, 2021, 10:46 pm
A little tangent, but I found a way to move a beehive using the beehive -> honey farm reaction:

Code: Select all

x = 13, y = 5, rule = B3/S23
11bo$b2o8bo$o2bo6bobo$b2o7bobo$11bo!
Here's a way to move it twice:

Code: Select all

x = 9, y = 5, rule = B3/S23
7bo$b2o3bobo$o2bo2bobo$b2o4bo$7bo!
I am tentatively considering myself back.

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