Thread for basic non-CGOL questions

For discussion of other cellular automata.
wildmyron
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Re: Thread for basic non-CGOL questions

Post by wildmyron »

ThePlayzr wrote: June 11th, 2025, 5:49 amfollow up question: what is the slowest natural (at least 1% of objects) spaceship in any rule?
The short answer is: we don't know and we probably never will.

Without restricting the rulespace then I would say there is no slowest spaceship. There are so many possibilities to construct a rule with small adjustable spaceships that will appear naturally in a soup that it's almost certainly possible to go as slow as you desire. For example - a multistate non-isotropic rule where:
  • Neighbourhood is R2 or R3 Moore
  • a single cell of state 1 decays to the next state which continues to decay until it reaches the highest state and then dies.
  • an empty cell with only a single cell of the highest state adjacent (in one direction only, e.g. below) will become state 1
This rule supports single cell spaceships with speed 1/(N-1) where N is the number of states. Said spaceship is probably the only periodic pattern in this rule and will readily appear from soup - depending on soup density and states.

Now, assuming you meant to restrict your question to INT rules on the Moore neighbourhood - your question is still ambiguous and I'm not sure it has a unique answer - primarily because it depends on what you mean by natural. For example: do spaceships in rules which occassionally explode in chaos still count as natural? They appear naturally in some soups, but how do you count occurrence when there are some soups that produce chaos?

Finding candidates for "slowest natural spaceship" is an interesting topic in itself. The 5S project is a good resource, but where to start? Any pattern with a single phase that has very low population is likely to appear often, but these slow spaceships with very low population tend to have other phases with large bounding boxes, so only survive in rules that don't produce many other objects from soup. There are other ways find candidate slow spaceships, but I'll restrict this answer to the 5S collection.

I usually use a script to filter or search for these kind of questions, but in this case a search using regular expressions gives good results for Orthogonal spaceships. I used this regular expression, shown along with command line usage:

Code: Select all

^[34567],.*, 1, 0,

$ grep '^[34567],.*, 1, 0,' Orthogonal\ ships.sss.txt
If you don't have grep available you can use Notepad++ or another good text editor to do regexp searches.

Some other variations of the search are:
  • replace ", 1, 0," with ", 2, 0," or ", 3, 0," to find spaceships which advance 2 (or 3) cells per period
  • leave out the "^[34567],.*" at the beginning to not restrict population
Anyway, here are some candidate answers to your question:

This is the slowest 3 cell minpop orthogonal spaceship in the 5S collection. It appears fairly often in small soups but larger soups have a tendancy to explode.

Code: Select all

#C c/6345 spaceship, minpop 3 cells
x = 2, y = 3, rule = B2-a3-eijn4cwz5ainry6cik7e8/S1c3-nqy4-einry5-ijk6ikn78
o$bo$o!
This is a slightly faster spaceship and the slowest in 5S up to minpop 5 that meets your criteria (though I didn't check the oblique collection)

Code: Select all

#C c/4465 spaceship, minpop 4 cells
x = 2, y = 3, rule = B3-k4n5kq6c8/S2-e3-qr4i5ckq6ack7e
bo$2o$bo!
This rule doesn't seem to explode and can be searched (slowly) with apgsearch. I ran a search with 500 soups and saved the results locally. Here's the census:

Code: Select all

xs4_252 216
xp2_7 141
xp2_13 130
xs6_696 175
xq4465_27 95
xs4_33 36
xs6_25a4 16
xs8_6996 4
xs12_bmdq 2
xs8_25ak8 1
xp2_70e 1
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

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NimbleRogue
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Re: Thread for basic non-CGOL questions

Post by NimbleRogue »

ThePlayzr wrote: June 11th, 2025, 5:49 am follow up question: what is the slowest natural (at least 1% of objects) spaceship in any rule?
If we allow it to be seminatural, then this c/51030 ship works, as it appears in much more than 1% of D2_+2 soups in the rule

Code: Select all

x = 10, y = 4, rule = B2-an3-ik4-acjqw5aijqy6-ck78/S02ckn3nqy4iqrtwz5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!
This is also the slowest ship in the database meaning it is 99.9999% likely that this is the slowest know seminatural ship that appears over 1% of the time. The only slower ships are obelisks, and they definitely not appearing in soups
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ThePlayzr
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Re: Thread for basic non-CGOL questions

Post by ThePlayzr »

NimbleRogue wrote: June 16th, 2025, 10:22 am
ThePlayzr wrote: June 11th, 2025, 5:49 am follow up question: what is the slowest natural (at least 1% of objects) spaceship in any rule?
If we allow it to be seminatural, then this c/51030 ship works, as it appears in much more than 1% of D2_+2 soups in the rule

Code: Select all

x = 10, y = 4, rule = B2-an3-ik4-acjqw5aijqy6-ck78/S02ckn3nqy4iqrtwz5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!
This is also the slowest ship in the database meaning it is 99.9999% likely that this is the slowest know seminatural ship that appears over 1% of the time. The only slower ships are obelisks, and they definitely not appearing in soups
This is it then. Thanks!
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Re: Thread for basic non-CGOL questions

Post by WhiteHawk »

confocaloid wrote: August 12th, 2023, 8:55 pm p93 oscillator with 20 transparent blocks in b3s234e It uses this alien dependent conduit (H to B) (1TFL, toggled S4e)
A couple questions:

Is this the smallest possible period of oscillator this pairing of conduits can support?
Are all higher periods covered?
Are there any other conduits in this rule?
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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PK22
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Re: Thread for basic non-CGOL questions

Post by PK22 »

What is the largest periodic object (for the purpose of this question, a still life, oscillator, or spaceship) in terms of minimum population which is the only periodic object that can exist in a range-1 Moore INT rule?
As an example, the beehive is the only periodic object in B4ew/S2ck (as far as I am aware):

Code: Select all

x = 21, y = 22, rule = B4ew/S2ck
12b2o$b2o8bo2bo$o2bo7bo2bo$b2o9b2o3$16bo$15bobo$2bo12bobo$bobo9b2o3b2o
$2bo9bo7bo$13b2o3b2o$5b2o8bobo$4bo2bo7bobo$4bo2bo8bo$2b2o4b2o$bo8bo$b
o8bo$2b2o4b2o$4bo2bo$4bo2bo$5b2o!
The object cannot be an infinite growth - it must be a finite periodic object.
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NimbleRogue
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Re: Thread for basic non-CGOL questions

Post by NimbleRogue »

Is there any INT non-lifelike rules that have ships based on these?
The c/2068 in gems minor

Code: Select all

x = 10, y = 9, rule = B34578/S456
2bobobo$2b4ob2o$2o2bo3bo$bo7bo$2o6bo$2b2o3b2o$2b2o3b2o$4b3o$4bobo!
The c/5648 in gems

Code: Select all

x = 12, y = 14, rule = B3457/S4568
5b2o$3bo4bo$3b2o2b2o$b3o4b3o$b3o4b3o$2ob6ob2o$3ob4ob3o$ob3o2b3obo$2ob
6ob2o$obobo2bobobo$2b2ob2ob2o$2b8o$4b4o$4bo2bo!
Last edited by NimbleRogue on July 1st, 2025, 2:30 pm, edited 1 time in total.
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NimbleRogue
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Re: Thread for basic non-CGOL questions

Post by NimbleRogue »

PK22 wrote: July 1st, 2025, 1:51 pm What is the largest periodic object (for the purpose of this question, a still life, oscillator, or spaceship) in terms of minimum population which is the only periodic object that can exist in a range-1 Moore INT rule?
Are you allowing explosive rules? If so there may be some higher periods in maxrules of some objects eg the maxrule for the 2 cell p2 in seeds

Code: Select all

x = 31, y = 32, rule = B2345678/S01e2345678
11bo$12bo$13bo$14bo$15b4o16$4bo8b2o$5bo!
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PK22
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Re: Thread for basic non-CGOL questions

Post by PK22 »

NimbleRogue wrote: July 1st, 2025, 2:24 pm Are you allowing explosive rules? If so there may be some higher periods in maxrules of some objects eg the maxrule for the 2 cell p2 in seeds

Code: Select all

x = 31, y = 32, rule = B2345678/S01e2345678
11bo$12bo$13bo$14bo$15b4o16$4bo8b2o$5bo!
Any range 1 Moore INT rule is allowed, but I think that using explosive rules sort of defeats my original intentions for the question, so I will split it into two questions:
What is the largest periodic object (by minimum population) such that it is the only periodic object in a:
a). Class 1 or 2 range 1 Moore INT rule?
b). Class 3 range 1 Moore INT rule?

You need to be careful if trying maxrules for b) - you may unintentionally allow some other objects, and it is hard to confirm this since they are typically explosive.

I believe I have improved the lower bound for a) to 17 cells:

Code: Select all

x = 5, y = 5, rule = B/S3en4e6i
b3o$obobo$5o$obobo$b3o!
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silversmith
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Re: Thread for basic non-CGOL questions

Post by silversmith »

PK22 wrote: July 1st, 2025, 4:25 pm I believe I have improved the lower bound for a) to 17 cells:

Code: Select all

x = 5, y = 5, rule = B/S3en4e6i
b3o$obobo$5o$obobo$b3o!
Several searches with rlifesrc imply this example increases the lower bound to 36:

Code: Select all

x = 7, y = 7, rule = B/S3n4rw5i6k7e
b5o$ob3obo$3ob3o$2o3b2o$3ob3o$ob3obo$b5o!
I don't have a proof yet, but I'll try putting one together if a higher bound isn't found.
Empty Emptiness
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Re: Thread for basic non-CGOL questions

Post by Empty Emptiness »

why does Persian Rug have so many easy-to-find agars?

Code: Select all

x = 8, y = 8, rule = B234/S:T8,8
2bo$b3ob2o$b2ob3o$5bo$6bo$b2o2b3o$3o2b2o$bo!

Code: Select all

x = 6, y = 6, rule = B234/S:T6,6
b3o$2b2o$4b2o$o3b2o$2o3bo$3o!

Code: Select all

x = 6, y = 6, rule = B234/S:T6,6
4o$o2bo$4o$4b2o$4b2o$4b2o!

Code: Select all

x = 8, y = 4, rule = B234/S:T8,4
4o$4o$4b4o$4b4o!
Also, I have changed my signature.

Code: Select all

x = 27, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo14bo$6b5o10b5o$6bo3bo10bo3bo$b2o2b2obobo9b2obob2o$2bo3bo3bo10bo3bo$
o5b5o10b5o$8bo14bo!
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Re: Thread for basic non-CGOL questions

Post by Resu »

Is there a life-like CA where this is the smallest induction coil for a 3-cell edge?

Code: Select all

x = 7, y = 3, rule = B3/S23
2o3b2o$o2bo2bo$2b3o!

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
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pifricted
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Re: Thread for basic non-CGOL questions

Post by pifricted »

Resu wrote: July 9th, 2025, 3:08 am Is there a life-like CA where this is the smallest induction coil for a 3-cell edge?

Code: Select all

x = 7, y = 3, rule = B3/S23
2o3b2o$o2bo2bo$2b3o!
B35/S23:

Code: Select all

x = 22, y = 3, rule = B35/S23
2o5b2ob2o3b2o3b2o$o2bo3bo3bo3bo2bo2bo$b3o4b3o6b3o!
...is enjoying his teenage time.
Empty Emptiness
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Re: Thread for basic non-CGOL questions

Post by Empty Emptiness »

uh... my 4096x4096 Morley soup i generated with my own pseudorandom soup generator has this puffer all over the place.

Code: Select all

x = 6, y = 5, rule = B368/S245
2b2o$b4o$2b2o$6o$o4bo!
is this recognized?
Also, I have changed my signature.

Code: Select all

x = 27, y = 7, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
8bo14bo$6b5o10b5o$6bo3bo10bo3bo$b2o2b2obobo9b2obob2o$2bo3bo3bo10bo3bo$
o5b5o10b5o$8bo14bo!
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Re: Thread for basic non-CGOL questions

Post by b-engine »

Empty Emptiness wrote: July 9th, 2025, 6:46 pm uh... my 4096x4096 Morley soup i generated with my own pseudorandom soup generator has this puffer all over the place.

Code: Select all

x = 6, y = 5, rule = B368/S245
2b2o$b4o$2b2o$6o$o4bo!
is this recognized?
Very well known since its discovery in 1993. See Move.
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Re: Thread for basic non-CGOL questions

Post by Resu »

Are there any self-growing wicks? (Wicks that stretch itself when a part is cut off)

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
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PK22
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Re: Thread for basic non-CGOL questions

Post by PK22 »

Resu wrote: July 11th, 2025, 11:26 am Are there any self-growing wicks? (Wicks that stretch itself when a part is cut off)
Would this count?

Code: Select all

x = 41, y = 41, rule = B1e/S01e2ci3iy4et
20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$
20bo$20bo$20bo$20bo$20bo$20bo$41o$20bo$20bo$20bo$20bo$20bo$20bo$20bo$
20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo$20bo!
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Re: Thread for basic non-CGOL questions

Post by Citation needed »

Citation needed wrote: July 15th, 2025, 8:25 am
gangdol wrote: July 14th, 2025, 3:16 am
The quoted post contains a number of turners.

Code: Select all

#C Glider + 2 dots = Puffer seed
x = 8, y = 9, rule = B2ikn34e/S023-a4ce
bo$2bo4bo$3o6$4bo!
I find it hard to calculate puffer speeds.

What is the speed of this puffer?
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Re: Thread for basic non-CGOL questions

Post by PK22 »

Citation needed wrote: July 15th, 2025, 8:28 am I find it hard to calculate puffer speeds.

What is the speed of this puffer?
The puffer from the glider + dots collision moves at 5c/46d, or (5,5)c/46.

If you want to work out puffer speeds easily, you can find the displacement by measuring the distance between equivalent blobs of ash (provided that it has a regular period and is not a rake). Then, pick a recognisable part of the ash, and find the period by counting the number generations between two times that the ash forms. Then just use velocity = displacement/time to work out the speed.
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Re: Thread for basic non-CGOL questions

Post by Citation needed »

What is an "InDev" rule?
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Re: Thread for basic non-CGOL questions

Post by hotcrystal0 »

Citation needed wrote: July 15th, 2025, 10:38 am What is an "InDev" rule?
I think it's a rule that's in development.
135 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Re: Thread for basic non-CGOL questions

Post by Citation needed »

What is the repeat time of the duplicator?

Is there a duplicator with shorter repeat time?

Code: Select all

x = 0, y = 0, rule = HalfBytePhotonFactory-beta2
3P2.P2.3P.3P.2P5.A$P3.P.P2.P2.P3.P.P$3P.3P2.P2.3P.2P$P3.P.P2.P2.P3.P.
P$3P.P.P2.P2.3P.P.P4.P6$2P2.3P.3P.P3.3P2.2P.3P2.P2.2P3.R.A.V$P.P.P3.P
3.P3.P3.P4.P2.P.P.P.P$2P2.3P.3P.P3.3P.P4.P2.P.P.2P10.T$P.P.P3.P3.P3.P
3.P4.P2.P.P.P.P$P.P.3P.P3.3P.3P2.2P2.P3.P2.P.P2.R.R.V.T6$.2P.P.P.3P5.
P$P3.P.P.P.P$P.P.P.P.P.P.P3.Q3.P20.A$P.P.P.P.P.P$.2P.3P.P.P5.P6$2P2.P
.P.2P2.P3.3P2.2P2.P2.3P.3P5.X.A6.P6.P$P.P.P.P.P.P.P4.P2.P3.P.P2.P2.P8.
ESA$P.P.P.P.2P2.P4.P2.P3.3P2.P2.3P5.AE2A$P.P.P.P.P3.P4.P2.P3.P.P2.P2.
P6.PSDBA$2P2.3P.P3.3P.3P2.2P.P.P2.P2.3P5.A.RB6$3P.2P3.2P.3P2.2P.P.P2.
P3.P2.3P5.P$P3.P.P.P3.P3.P3.P.P.P.P.P.P2.P$3P.P.P.P.P.3P2.P2.3P.P.P.P
.P2.P$P3.P.P.P.P.P5.P.P.P.P.P.P.P2.P5.S$3P.2P3.2P.3P.2P2.P.P2.P3.P3.P
5.2P6$40P!

[[ ICONS Z 8 ]]

@RULE HalfBytePhotonFactory-beta2

Half byte wave rule with power-up obstacles.

Each non-obstacle cell has a half-byte memory.

Photons do not directly block each other.

If a cell neighbors multiple obstacles, only one is taken into account (usually the top one).

@TABLE
n_states:29
neighborhood:vonNeumann
symmetries:none

var y1={1,3,5,7,9,11,13,15,17}
var n1={0,2,4,6,8,10,12,14,16,18,19,20,21,22,23}
var y2={2,3,6,7,10,11,14,15,17}
var n2={0,1,4,5,8,9,12,13,16,18,19,20,21,22,23}
var y4={4,5,6,7,12,13,14,15,17}
var n4={0,1,2,3,8,9,10,11,16,18,19,20,21,22,23}
var y8={8,9,10,11,12,13,14,15,17}
var n8={0,1,2,3,4,5,6,7,16,18,19,20,21,22,23}
var p={0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

var y1a=y1
var n1a=n1
var y1b=y1
var n1b=n1
var y1c=y1
var n1c=n1
var y1d=y1
var n1d=n1
var y2a=y2
var n2a=n2
var y2b=y2
var n2b=n2
var y2c=y2
var n2c=n2
var y2d=y2
var n2d=n2
var y4a=y4
var n4a=n4
var y4b=y4
var n4b=n4
var y4c=y4
var n4c=n4
var y4d=y4
var n4d=n4
var y8a=y8
var n8a=n8
var y8b=y8
var n8b=n8
var y8c=y8
var n8c=n8
var y8d=y8
var n8d=n8

# Transitions involving obstacles (privilege)

# Power of 3
p,26,n2b,n4c,n8d,0
p,n1a,26,n4c,n8d,0
p,n1a,n2b,26,n8d,0
p,n1a,n2b,n4c,26,0
p,26,n2b,n4c,n8d,1
p,y1a,26,n4c,n8d,1
p,y1a,n2b,26,n8d,1
p,y1a,n2b,n4c,26,1
p,26,y2b,n4c,n8d,8
p,n1a,26,n4c,n8d,8
p,n1a,y2b,26,n8d,8
p,n1a,y2b,n4c,26,8
p,26,y2b,n4c,n8d,11
p,y1a,26,n4c,n8d,11
p,y1a,y2b,26,n8d,11
p,y1a,y2b,n4c,26,11
p,26,n2b,y4c,n8d,0
p,n1a,26,y4c,n8d,0
p,n1a,n2b,26,n8d,0
p,n1a,n2b,y4c,26,0
p,26,n2b,y4c,n8d,13
p,y1a,26,y4c,n8d,13
p,y1a,n2b,26,n8d,13
p,y1a,n2b,y4c,26,13
p,26,y2b,y4c,n8d,8
p,n1a,26,y4c,n8d,8
p,n1a,y2b,26,n8d,8
p,n1a,y2b,y4c,26,8
p,26,y2b,y4c,n8d,7
p,y1a,26,y4c,n8d,7
p,y1a,y2b,26,n8d,7
p,y1a,y2b,y4c,26,7
p,26,n2b,n4c,y8d,0
p,n1a,26,n4c,y8d,0
p,n1a,n2b,26,y8d,0
p,n1a,n2b,n4c,26,0
p,26,n2b,n4c,y8d,9
p,y1a,26,n4c,y8d,9
p,y1a,n2b,26,y8d,9
p,y1a,n2b,n4c,26,9
p,26,y2b,n4c,y8d,8
p,n1a,26,n4c,y8d,8
p,n1a,y2b,26,y8d,8
p,n1a,y2b,n4c,26,8
p,26,y2b,n4c,y8d,3
p,y1a,26,n4c,y8d,3
p,y1a,y2b,26,y8d,3
p,y1a,y2b,n4c,26,3
p,26,n2b,y4c,y8d,0
p,n1a,26,y4c,y8d,0
p,n1a,n2b,26,y8d,0
p,n1a,n2b,y4c,26,0
p,26,n2b,y4c,y8d,5
p,y1a,26,y4c,y8d,5
p,y1a,n2b,26,y8d,5
p,y1a,n2b,y4c,26,5
p,26,y2b,y4c,y8d,8
p,n1a,26,y4c,y8d,8
p,n1a,y2b,26,y8d,8
p,n1a,y2b,y4c,26,8
p,26,y2b,y4c,y8d,15
p,y1a,26,y4c,y8d,15
p,y1a,y2b,26,y8d,15
p,y1a,y2b,y4c,26,15

# Squaring
p,24,n2b,n4c,n8d,0
p,n1a,24,n4c,n8d,0
p,n1a,n2b,24,n8d,0
p,n1a,n2b,n4c,24,0
p,24,n2b,n4c,n8d,1
p,y1a,24,n4c,n8d,1
p,y1a,n2b,24,n8d,1
p,y1a,n2b,n4c,24,1
p,24,y2b,n4c,n8d,4
p,n1a,24,n4c,n8d,4
p,n1a,y2b,24,n8d,4
p,n1a,y2b,n4c,24,4
p,24,y2b,n4c,n8d,9
p,y1a,24,n4c,n8d,9
p,y1a,y2b,24,n8d,9
p,y1a,y2b,n4c,24,9
p,24,n2b,y4c,n8d,0
p,n1a,24,y4c,n8d,0
p,n1a,n2b,24,n8d,0
p,n1a,n2b,y4c,24,0
p,24,n2b,y4c,n8d,9
p,y1a,24,y4c,n8d,9
p,y1a,n2b,24,n8d,9
p,y1a,n2b,y4c,24,9
p,24,y2b,y4c,n8d,4
p,n1a,24,y4c,n8d,4
p,n1a,y2b,24,n8d,4
p,n1a,y2b,y4c,24,4
p,24,y2b,y4c,n8d,1
p,y1a,24,y4c,n8d,1
p,y1a,y2b,24,n8d,1
p,y1a,y2b,y4c,24,1
p,24,n2b,n4c,y8d,0
p,n1a,24,n4c,y8d,0
p,n1a,n2b,24,y8d,0
p,n1a,n2b,n4c,24,0
p,24,n2b,n4c,y8d,1
p,y1a,24,n4c,y8d,1
p,y1a,n2b,24,y8d,1
p,y1a,n2b,n4c,24,1
p,24,y2b,n4c,y8d,4
p,n1a,24,n4c,y8d,4
p,n1a,y2b,24,y8d,4
p,n1a,y2b,n4c,24,4
p,24,y2b,n4c,y8d,9
p,y1a,24,n4c,y8d,9
p,y1a,y2b,24,y8d,9
p,y1a,y2b,n4c,24,9
p,24,n2b,y4c,y8d,0
p,n1a,24,y4c,y8d,0
p,n1a,n2b,24,y8d,0
p,n1a,n2b,y4c,24,0
p,24,n2b,y4c,y8d,9
p,y1a,24,y4c,y8d,9
p,y1a,n2b,24,y8d,9
p,y1a,n2b,y4c,24,9
p,24,y2b,y4c,y8d,4
p,n1a,24,y4c,y8d,4
p,n1a,y2b,24,y8d,4
p,n1a,y2b,y4c,24,4
p,24,y2b,y4c,y8d,1
p,y1a,24,y4c,y8d,1
p,y1a,y2b,24,y8d,1
p,y1a,y2b,y4c,24,1


# ×2
p,18,n2b,n4c,n8d,0
p,n1a,18,n4c,n8d,0
p,n1a,n2b,18,n8d,0
p,n1a,n2b,n4c,18,0
p,18,n2b,n4c,n8d,2
p,y1a,18,n4c,n8d,2
p,y1a,n2b,18,n8d,2
p,y1a,n2b,n4c,18,2
p,18,y2b,n4c,n8d,4
p,n1a,18,n4c,n8d,4
p,n1a,y2b,18,n8d,4
p,n1a,y2b,n4c,18,4
p,18,y2b,n4c,n8d,6
p,y1a,18,n4c,n8d,6
p,y1a,y2b,18,n8d,6
p,y1a,y2b,n4c,18,6
p,18,n2b,y4c,n8d,8
p,n1a,18,y4c,n8d,8
p,n1a,n2b,18,n8d,8
p,n1a,n2b,y4c,18,8
p,18,n2b,y4c,n8d,10
p,y1a,18,y4c,n8d,10
p,y1a,n2b,18,n8d,10
p,y1a,n2b,y4c,18,10
p,18,y2b,y4c,n8d,12
p,n1a,18,y4c,n8d,12
p,n1a,y2b,18,n8d,12
p,n1a,y2b,y4c,18,12
p,18,y2b,y4c,n8d,14
p,y1a,18,y4c,n8d,14
p,y1a,y2b,18,n8d,14
p,y1a,y2b,y4c,18,14
p,18,n2b,n4c,y8d,0
p,n1a,18,n4c,y8d,0
p,n1a,n2b,18,y8d,0
p,n1a,n2b,n4c,18,0
p,18,n2b,n4c,y8d,2
p,y1a,18,n4c,y8d,2
p,y1a,n2b,18,y8d,2
p,y1a,n2b,n4c,18,2
p,18,y2b,n4c,y8d,4
p,n1a,18,n4c,y8d,4
p,n1a,y2b,18,y8d,4
p,n1a,y2b,n4c,18,4
p,18,y2b,n4c,y8d,6
p,y1a,18,n4c,y8d,6
p,y1a,y2b,18,y8d,6
p,y1a,y2b,n4c,18,6
p,18,n2b,y4c,y8d,8
p,n1a,18,y4c,y8d,8
p,n1a,n2b,18,y8d,8
p,n1a,n2b,y4c,18,8
p,18,n2b,y4c,y8d,10
p,y1a,18,y4c,y8d,10
p,y1a,n2b,18,y8d,10
p,y1a,n2b,y4c,18,10
p,18,y2b,y4c,y8d,12
p,n1a,18,y4c,y8d,12
p,n1a,y2b,18,y8d,12
p,n1a,y2b,y4c,18,12
p,18,y2b,y4c,y8d,14
p,y1a,18,y4c,y8d,14
p,y1a,y2b,18,y8d,14
p,y1a,y2b,y4c,18,14


# ÷2
p,20,n2b,n4c,n8d,0
p,n1a,20,n4c,n8d,0
p,n1a,n2b,20,n8d,0
p,n1a,n2b,n4c,20,0
p,20,n2b,n4c,n8d,0
p,y1a,20,n4c,n8d,0
p,y1a,n2b,20,n8d,0
p,y1a,n2b,n4c,20,0
p,20,y2b,n4c,n8d,1
p,n1a,20,n4c,n8d,1
p,n1a,y2b,20,n8d,1
p,n1a,y2b,n4c,20,1
p,20,y2b,n4c,n8d,1
p,y1a,20,n4c,n8d,1
p,y1a,y2b,20,n8d,1
p,y1a,y2b,n4c,20,1
p,20,n2b,y4c,n8d,2
p,n1a,20,y4c,n8d,2
p,n1a,n2b,20,n8d,2
p,n1a,n2b,y4c,20,2
p,20,n2b,y4c,n8d,2
p,y1a,20,y4c,n8d,2
p,y1a,n2b,20,n8d,2
p,y1a,n2b,y4c,20,2
p,20,y2b,y4c,n8d,3
p,n1a,20,y4c,n8d,3
p,n1a,y2b,20,n8d,3
p,n1a,y2b,y4c,20,3
p,20,y2b,y4c,n8d,3
p,y1a,20,y4c,n8d,3
p,y1a,y2b,20,n8d,3
p,y1a,y2b,y4c,20,3
p,20,n2b,n4c,y8d,4
p,n1a,20,n4c,y8d,4
p,n1a,n2b,20,y8d,4
p,n1a,n2b,n4c,20,4
p,20,n2b,n4c,y8d,4
p,y1a,20,n4c,y8d,4
p,y1a,n2b,20,y8d,4
p,y1a,n2b,n4c,20,4
p,20,y2b,n4c,y8d,5
p,n1a,20,n4c,y8d,5
p,n1a,y2b,20,y8d,5
p,n1a,y2b,n4c,20,5
p,20,y2b,n4c,y8d,5
p,y1a,20,n4c,y8d,5
p,y1a,y2b,20,y8d,5
p,y1a,y2b,n4c,20,5
p,20,n2b,y4c,y8d,6
p,n1a,20,y4c,y8d,6
p,n1a,n2b,20,y8d,6
p,n1a,n2b,y4c,20,6
p,20,n2b,y4c,y8d,6
p,y1a,20,y4c,y8d,6
p,y1a,n2b,20,y8d,6
p,y1a,n2b,y4c,20,6
p,20,y2b,y4c,y8d,7
p,n1a,20,y4c,y8d,7
p,n1a,y2b,20,y8d,7
p,n1a,y2b,y4c,20,7
p,20,y2b,y4c,y8d,7
p,y1a,20,y4c,y8d,7
p,y1a,y2b,20,y8d,7
p,y1a,y2b,y4c,20,7

# OEIS A000001 (suited for receiving photon input from the left)
p,28,n2b,n4c,n8d,0
p,n1a,28,n4c,n8d,0
p,n1a,n2b,28,n8d,0
p,n1a,n2b,n4c,28,0
p,28,n2b,n4c,n8d,1
p,y1a,28,n4c,n8d,1
p,y1a,n2b,28,n8d,1
p,y1a,n2b,n4c,28,1
p,28,y2b,n4c,n8d,1
p,n1a,28,n4c,n8d,1
p,n1a,y2b,28,n8d,1
p,n1a,y2b,n4c,28,1
p,28,y2b,n4c,n8d,1
p,y1a,28,n4c,n8d,1
p,y1a,y2b,28,n8d,1
p,y1a,y2b,n4c,28,1
p,28,n2b,y4c,n8d,2
p,n1a,28,y4c,n8d,2
p,n1a,n2b,28,n8d,2
p,n1a,n2b,y4c,28,2
p,28,n2b,y4c,n8d,1
p,y1a,28,y4c,n8d,1
p,y1a,n2b,28,n8d,1
p,y1a,n2b,y4c,28,1
p,28,y2b,y4c,n8d,2
p,n1a,28,y4c,n8d,2
p,n1a,y2b,28,n8d,2
p,n1a,y2b,y4c,28,2
p,28,y2b,y4c,n8d,1
p,y1a,28,y4c,n8d,1
p,y1a,y2b,28,n8d,1
p,y1a,y2b,y4c,28,1
p,28,n2b,n4c,y8d,5
p,n1a,28,n4c,y8d,5
p,n1a,n2b,28,y8d,5
p,n1a,n2b,n4c,28,5
p,28,n2b,n4c,y8d,2
p,y1a,28,n4c,y8d,2
p,y1a,n2b,28,y8d,2
p,y1a,n2b,n4c,28,2
p,28,y2b,n4c,y8d,2
p,n1a,28,n4c,y8d,2
p,n1a,y2b,28,y8d,2
p,n1a,y2b,n4c,28,2
p,28,y2b,n4c,y8d,1
p,y1a,28,n4c,y8d,1
p,y1a,y2b,28,y8d,1
p,y1a,y2b,n4c,28,1
p,28,n2b,y4c,y8d,5
p,n1a,28,y4c,y8d,5
p,n1a,n2b,28,y8d,5
p,n1a,n2b,y4c,28,5
p,28,n2b,y4c,y8d,1
p,y1a,28,y4c,y8d,1
p,y1a,n2b,28,y8d,1
p,y1a,n2b,y4c,28,1
p,28,y2b,y4c,y8d,2
p,n1a,28,y4c,y8d,2
p,n1a,y2b,28,y8d,2
p,n1a,y2b,y4c,28,2
p,28,y2b,y4c,y8d,1
p,y1a,28,y4c,y8d,1
p,y1a,y2b,28,y8d,1
p,y1a,y2b,y4c,28,1


# Reverse the bits in the half-byte
p,22,n2b,n4c,n8d,0
p,n1a,22,n4c,n8d,0
p,n1a,n2b,22,n8d,0
p,n1a,n2b,n4c,22,0
p,22,n2b,n4c,n8d,8
p,y1a,22,n4c,n8d,8
p,y1a,n2b,22,n8d,8
p,y1a,n2b,n4c,22,8
p,22,y2b,n4c,n8d,4
p,n1a,22,n4c,n8d,4
p,n1a,y2b,22,n8d,4
p,n1a,y2b,n4c,22,4
p,22,y2b,n4c,n8d,12
p,y1a,22,n4c,n8d,12
p,y1a,y2b,22,n8d,12
p,y1a,y2b,n4c,22,12
p,22,n2b,y4c,n8d,2
p,n1a,22,y4c,n8d,2
p,n1a,n2b,22,n8d,2
p,n1a,n2b,y4c,22,2
p,22,n2b,y4c,n8d,10
p,y1a,22,y4c,n8d,10
p,y1a,n2b,22,n8d,10
p,y1a,n2b,y4c,22,10
p,22,y2b,y4c,n8d,6
p,n1a,22,y4c,n8d,6
p,n1a,y2b,22,n8d,6
p,n1a,y2b,y4c,22,6
p,22,y2b,y4c,n8d,14
p,y1a,22,y4c,n8d,14
p,y1a,y2b,22,n8d,14
p,y1a,y2b,y4c,22,14
p,22,n2b,n4c,y8d,1
p,n1a,22,n4c,y8d,1
p,n1a,n2b,22,y8d,1
p,n1a,n2b,n4c,22,1
p,22,n2b,n4c,y8d,9
p,y1a,22,n4c,y8d,9
p,y1a,n2b,22,y8d,9
p,y1a,n2b,n4c,22,9
p,22,y2b,n4c,y8d,5
p,n1a,22,n4c,y8d,5
p,n1a,y2b,22,y8d,5
p,n1a,y2b,n4c,22,5
p,22,y2b,n4c,y8d,13
p,y1a,22,n4c,y8d,13
p,y1a,y2b,22,y8d,13
p,y1a,y2b,n4c,22,13
p,22,n2b,y4c,y8d,3
p,n1a,22,y4c,y8d,3
p,n1a,n2b,22,y8d,3
p,n1a,n2b,y4c,22,3
p,22,n2b,y4c,y8d,11
p,y1a,22,y4c,y8d,11
p,y1a,n2b,22,y8d,11
p,y1a,n2b,y4c,22,11
p,22,y2b,y4c,y8d,7
p,n1a,22,y4c,y8d,7
p,n1a,y2b,22,y8d,7
p,n1a,y2b,y4c,22,7
p,22,y2b,y4c,y8d,15
p,y1a,22,y4c,y8d,15
p,y1a,y2b,22,y8d,15
p,y1a,y2b,y4c,22,15

# Factorial
p,25,n2b,n4c,n8d,1
p,n1a,25,n4c,n8d,1
p,n1a,n2b,25,n8d,1
p,n1a,n2b,n4c,25,1
p,25,n2b,n4c,n8d,1
p,y1a,25,n4c,n8d,1
p,y1a,n2b,25,n8d,1
p,y1a,n2b,n4c,25,1
p,25,y2b,n4c,n8d,2
p,n1a,25,n4c,n8d,2
p,n1a,y2b,25,n8d,2
p,n1a,y2b,n4c,25,2
p,25,y2b,n4c,n8d,6
p,y1a,25,n4c,n8d,6
p,y1a,y2b,25,n8d,6
p,y1a,y2b,n4c,25,6
p,25,n2b,y4c,n8d,8
p,n1a,25,y4c,n8d,8
p,n1a,n2b,25,n8d,8
p,n1a,n2b,y4c,25,8
p,25,n2b,y4c,n8d,8
p,y1a,25,y4c,n8d,8
p,y1a,n2b,25,n8d,8
p,y1a,n2b,y4c,25,8
p,25,y2b,y4c,n8d,0
p,n1a,25,y4c,n8d,0
p,n1a,y2b,25,n8d,0
p,n1a,y2b,y4c,25,0
p,25,y2b,y4c,n8d,0
p,y1a,25,y4c,n8d,0
p,y1a,y2b,25,n8d,0
p,y1a,y2b,y4c,25,0
p,25,n2b,n4c,y8d,0
p,n1a,25,n4c,y8d,0
p,n1a,n2b,25,y8d,0
p,n1a,n2b,n4c,25,0
p,25,n2b,n4c,y8d,0
p,y1a,25,n4c,y8d,0
p,y1a,n2b,25,y8d,0
p,y1a,n2b,n4c,25,0
p,25,y2b,n4c,y8d,0
p,n1a,25,n4c,y8d,0
p,n1a,y2b,25,y8d,0
p,n1a,y2b,n4c,25,0
p,25,y2b,n4c,y8d,0
p,y1a,25,n4c,y8d,0
p,y1a,y2b,25,y8d,0
p,y1a,y2b,n4c,25,0
p,25,n2b,y4c,y8d,0
p,n1a,25,y4c,y8d,0
p,n1a,n2b,25,y8d,0
p,n1a,n2b,y4c,25,0
p,25,n2b,y4c,y8d,0
p,y1a,25,y4c,y8d,0
p,y1a,n2b,25,y8d,0
p,y1a,n2b,y4c,25,0
p,25,y2b,y4c,y8d,0
p,n1a,25,y4c,y8d,0
p,n1a,y2b,25,y8d,0
p,n1a,y2b,y4c,25,0
p,25,y2b,y4c,y8d,0
p,y1a,25,y4c,y8d,0
p,y1a,y2b,25,y8d,0
p,y1a,y2b,y4c,25,0

# Double factorial
p,27,n2b,n4c,n8d,1
p,n1a,27,n4c,n8d,1
p,n1a,n2b,27,n8d,1
p,n1a,n2b,n4c,27,1
p,27,n2b,n4c,n8d,1
p,y1a,27,n4c,n8d,1
p,y1a,n2b,27,n8d,1
p,y1a,n2b,n4c,27,1
p,27,y2b,n4c,n8d,2
p,n1a,27,n4c,n8d,2
p,n1a,y2b,27,n8d,2
p,n1a,y2b,n4c,27,2
p,27,y2b,n4c,n8d,3
p,y1a,27,n4c,n8d,3
p,y1a,y2b,27,n8d,3
p,y1a,y2b,n4c,27,3
p,27,n2b,y4c,n8d,8
p,n1a,27,y4c,n8d,8
p,n1a,n2b,27,n8d,8
p,n1a,n2b,y4c,27,8
p,27,n2b,y4c,n8d,15
p,y1a,27,y4c,n8d,15
p,y1a,n2b,27,n8d,15
p,y1a,n2b,y4c,27,15
p,27,y2b,y4c,n8d,0
p,n1a,27,y4c,n8d,0
p,n1a,y2b,27,n8d,0
p,n1a,y2b,y4c,27,0
p,27,y2b,y4c,n8d,9
p,y1a,27,y4c,n8d,9
p,y1a,y2b,27,n8d,9
p,y1a,y2b,y4c,27,9
p,27,n2b,n4c,y8d,0
p,n1a,27,n4c,y8d,0
p,n1a,n2b,27,y8d,0
p,n1a,n2b,n4c,27,0
p,27,n2b,n4c,y8d,1
p,y1a,27,n4c,y8d,1
p,y1a,n2b,27,y8d,1
p,y1a,n2b,n4c,27,1
p,27,y2b,n4c,y8d,0
p,n1a,27,n4c,y8d,0
p,n1a,y2b,27,y8d,0
p,n1a,y2b,n4c,27,0
p,27,y2b,n4c,y8d,11
p,y1a,27,n4c,y8d,11
p,y1a,y2b,27,y8d,11
p,y1a,y2b,n4c,27,11
p,27,n2b,y4c,y8d,0
p,n1a,27,y4c,y8d,0
p,n1a,n2b,27,y8d,0
p,n1a,n2b,y4c,27,0
p,27,n2b,y4c,y8d,15
p,y1a,27,y4c,y8d,15
p,y1a,n2b,27,y8d,15
p,y1a,n2b,y4c,27,15
p,27,y2b,y4c,y8d,0
p,n1a,27,y4c,y8d,0
p,n1a,y2b,27,y8d,0
p,n1a,y2b,y4c,27,0
p,27,y2b,y4c,y8d,1
p,y1a,27,y4c,y8d,1
p,y1a,y2b,27,y8d,1
p,y1a,y2b,y4c,27,1

# +1
p,19,n2b,n4c,n8d,1
p,n1a,19,n4c,n8d,1
p,n1a,n2b,19,n8d,1
p,n1a,n2b,n4c,19,1
p,19,n2b,n4c,n8d,2
p,y1a,19,n4c,n8d,2
p,y1a,n2b,19,n8d,2
p,y1a,n2b,n4c,19,2
p,19,y2b,n4c,n8d,3
p,n1a,19,n4c,n8d,3
p,n1a,y2b,19,n8d,3
p,n1a,y2b,n4c,19,3
p,19,y2b,n4c,n8d,4
p,y1a,19,n4c,n8d,4
p,y1a,y2b,19,n8d,4
p,y1a,y2b,n4c,19,4
p,19,n2b,y4c,n8d,5
p,n1a,19,y4c,n8d,5
p,n1a,n2b,19,n8d,5
p,n1a,n2b,y4c,19,5
p,19,n2b,y4c,n8d,6
p,y1a,19,y4c,n8d,6
p,y1a,n2b,19,n8d,6
p,y1a,n2b,y4c,19,6
p,19,y2b,y4c,n8d,7
p,n1a,19,y4c,n8d,7
p,n1a,y2b,19,n8d,7
p,n1a,y2b,y4c,19,7
p,19,y2b,y4c,n8d,8
p,y1a,19,y4c,n8d,8
p,y1a,y2b,19,n8d,8
p,y1a,y2b,y4c,19,8
p,19,n2b,n4c,y8d,9
p,n1a,19,n4c,y8d,9
p,n1a,n2b,19,y8d,9
p,n1a,n2b,n4c,19,9
p,19,n2b,n4c,y8d,10
p,y1a,19,n4c,y8d,10
p,y1a,n2b,19,y8d,10
p,y1a,n2b,n4c,19,10
p,19,y2b,n4c,y8d,11
p,n1a,19,n4c,y8d,11
p,n1a,y2b,19,y8d,11
p,n1a,y2b,n4c,19,11
p,19,y2b,n4c,y8d,12
p,y1a,19,n4c,y8d,12
p,y1a,y2b,19,y8d,12
p,y1a,y2b,n4c,19,12
p,19,n2b,y4c,y8d,13
p,n1a,19,y4c,y8d,13
p,n1a,n2b,19,y8d,13
p,n1a,n2b,y4c,19,13
p,19,n2b,y4c,y8d,14
p,y1a,19,y4c,y8d,14
p,y1a,n2b,19,y8d,14
p,y1a,n2b,y4c,19,14
p,19,y2b,y4c,y8d,15
p,n1a,19,y4c,y8d,15
p,n1a,y2b,19,y8d,15
p,n1a,y2b,y4c,19,15
p,19,y2b,y4c,y8d,0
p,y1a,19,y4c,y8d,0
p,y1a,y2b,19,y8d,0
p,y1a,y2b,y4c,19,0

# -1
p,21,n2b,n4c,n8d,15
p,n1a,21,n4c,n8d,15
p,n1a,n2b,21,n8d,15
p,n1a,n2b,n4c,21,15
p,21,n2b,n4c,n8d,0
p,y1a,21,n4c,n8d,0
p,y1a,n2b,21,n8d,0
p,y1a,n2b,n4c,21,0
p,21,y2b,n4c,n8d,1
p,n1a,21,n4c,n8d,1
p,n1a,y2b,21,n8d,1
p,n1a,y2b,n4c,21,1
p,21,y2b,n4c,n8d,2
p,y1a,21,n4c,n8d,2
p,y1a,y2b,21,n8d,2
p,y1a,y2b,n4c,21,2
p,21,n2b,y4c,n8d,3
p,n1a,21,y4c,n8d,3
p,n1a,n2b,21,n8d,3
p,n1a,n2b,y4c,21,3
p,21,n2b,y4c,n8d,4
p,y1a,21,y4c,n8d,4
p,y1a,n2b,21,n8d,4
p,y1a,n2b,y4c,21,4
p,21,y2b,y4c,n8d,5
p,n1a,21,y4c,n8d,5
p,n1a,y2b,21,n8d,5
p,n1a,y2b,y4c,21,5
p,21,y2b,y4c,n8d,6
p,y1a,21,y4c,n8d,6
p,y1a,y2b,21,n8d,6
p,y1a,y2b,y4c,21,6
p,21,n2b,n4c,y8d,7
p,n1a,21,n4c,y8d,7
p,n1a,n2b,21,y8d,7
p,n1a,n2b,n4c,21,7
p,21,n2b,n4c,y8d,8
p,y1a,21,n4c,y8d,8
p,y1a,n2b,21,y8d,8
p,y1a,n2b,n4c,21,8
p,21,y2b,n4c,y8d,9
p,n1a,21,n4c,y8d,9
p,n1a,y2b,21,y8d,9
p,n1a,y2b,n4c,21,9
p,21,y2b,n4c,y8d,10
p,y1a,21,n4c,y8d,10
p,y1a,y2b,21,y8d,10
p,y1a,y2b,n4c,21,10
p,21,n2b,y4c,y8d,11
p,n1a,21,y4c,y8d,11
p,n1a,n2b,21,y8d,11
p,n1a,n2b,y4c,21,11
p,21,n2b,y4c,y8d,12
p,y1a,21,y4c,y8d,12
p,y1a,n2b,21,y8d,12
p,y1a,n2b,y4c,21,12
p,21,y2b,y4c,y8d,13
p,n1a,21,y4c,y8d,13
p,n1a,y2b,21,y8d,13
p,n1a,y2b,y4c,21,13
p,21,y2b,y4c,y8d,14
p,y1a,21,y4c,y8d,14
p,y1a,y2b,21,y8d,14
p,y1a,y2b,y4c,21,14

# Not gate (the most explosive, placed last to tame the rule)
p,23,n2b,n4c,n8d,15
p,n1a,23,n4c,n8d,15
p,n1a,n2b,23,n8d,15
p,n1a,n2b,n4c,23,15
p,23,n2b,n4c,n8d,14
p,y1a,23,n4c,n8d,14
p,y1a,n2b,23,n8d,14
p,y1a,n2b,n4c,23,14
p,23,y2b,n4c,n8d,13
p,n1a,23,n4c,n8d,13
p,n1a,y2b,23,n8d,13
p,n1a,y2b,n4c,23,13
p,23,y2b,n4c,n8d,12
p,y1a,23,n4c,n8d,12
p,y1a,y2b,23,n8d,12
p,y1a,y2b,n4c,23,12
p,23,n2b,y4c,n8d,11
p,n1a,23,y4c,n8d,11
p,n1a,n2b,23,n8d,11
p,n1a,n2b,y4c,23,11
p,23,n2b,y4c,n8d,10
p,y1a,23,y4c,n8d,10
p,y1a,n2b,23,n8d,10
p,y1a,n2b,y4c,23,10
p,23,y2b,y4c,n8d,9
p,n1a,23,y4c,n8d,9
p,n1a,y2b,23,n8d,9
p,n1a,y2b,y4c,23,9
p,23,y2b,y4c,n8d,8
p,y1a,23,y4c,n8d,8
p,y1a,y2b,23,n8d,8
p,y1a,y2b,y4c,23,8
p,23,n2b,n4c,y8d,7
p,n1a,23,n4c,y8d,7
p,n1a,n2b,23,y8d,7
p,n1a,n2b,n4c,23,7
p,23,n2b,n4c,y8d,6
p,y1a,23,n4c,y8d,6
p,y1a,n2b,23,y8d,6
p,y1a,n2b,n4c,23,6
p,23,y2b,n4c,y8d,5
p,n1a,23,n4c,y8d,5
p,n1a,y2b,23,y8d,5
p,n1a,y2b,n4c,23,5
p,23,y2b,n4c,y8d,4
p,y1a,23,n4c,y8d,4
p,y1a,y2b,23,y8d,4
p,y1a,y2b,n4c,23,4
p,23,n2b,y4c,y8d,3
p,n1a,23,y4c,y8d,3
p,n1a,n2b,23,y8d,3
p,n1a,n2b,y4c,23,3
p,23,n2b,y4c,y8d,2
p,y1a,23,y4c,y8d,2
p,y1a,n2b,23,y8d,2
p,y1a,n2b,y4c,23,2
p,23,y2b,y4c,y8d,1
p,n1a,23,y4c,y8d,1
p,n1a,y2b,23,y8d,1
p,n1a,y2b,y4c,23,1
p,23,y2b,y4c,y8d,0
p,y1a,23,y4c,y8d,0
p,y1a,y2b,23,y8d,0
p,y1a,y2b,y4c,23,0




# Transitions not involving obstacles
p,n1a,n2b,n4c,n8d,0
p,y1a,n2b,n4c,n8d,1
p,n1a,y2b,n4c,n8d,2
p,y1a,y2b,n4c,n8d,3
p,n1a,n2b,y4c,n8d,4
p,y1a,n2b,y4c,n8d,5
p,n1a,y2b,y4c,n8d,6
p,y1a,y2b,y4c,n8d,7
p,n1a,n2b,n4c,y8d,8
p,y1a,n2b,n4c,y8d,9
p,n1a,y2b,n4c,y8d,10
p,y1a,y2b,n4c,y8d,11
p,n1a,n2b,y4c,y8d,12
p,y1a,n2b,y4c,y8d,13
p,n1a,y2b,y4c,y8d,14
p,y1a,y2b,y4c,y8d,15

@NAMES
1 TOP
2 RIGHT
4 BOTTOM
8 LEFT
16 BLOCK OBSTACLE
17 ON OBSTACLE
18 ×2 OBSTACLE
19 +1 OBSTACLE
20 ÷2 OBSTACLE
21 -1 OBSTACLE
22 REVERSE OBSTACLE
23 NOT GATE OBSTACLE
24 SQUARE OBSTACLE
25 FACTORIAL OBSTACLE
26 CUBE OBSTACLE
27 DOUBLEFAC OBSTACLE
28 A000001 OBSTACLE

@COLORS
1 170 0 0
2 85 0 0
3 255 0 0
4 0 0 170
5 170 0 170
6 85 0 170
7 255 0 170
8 0 0 85
9 170 0 85
10 85 0 85
11 255 0 85
12 0 0 255
13 170 0 255
14 85 0 255
15 255 0 255
16 0 102 0
17 0 255 0

@ICONS
XPM
"7 196 5 1"

". c #000000"
"D c #FF3333"
"E c #FF9900"
"G c #555555"
"W c #FFFFFF"

"DDDDDDD"
".DDDDD."
"..DDD.."
"...D..."
"......."
"......."
"......."

"......D"
".....DD"
"....DDD"
"...DDDD"
"....DDD"
".....DD"
"......D"

"DDDDDDD"
".DDDDDD"
"..DDDDD"
"...DDDD"
"....DDD"
".....DD"
"......D"

"......."
"......."
"......."
"...D..."
"..DDD.."
".DDDDD."
"DDDDDDD"

"DDDDDDD"
".DDDDD."
"..DDD.."
"...D..."
"..DDD.."
".DDDDD."
"DDDDDDD"

"......D"
".....DD"
"....DDD"
"...DDDD"
"..DDDDD"
".DDDDDD"
"DDDDDDD"

"DDDDDDD"
".DDDDDD"
"..DDDDD"
"...DDDD"
"..DDDDD"
".DDDDDD"
"DDDDDDD"

"D......"
"DD....."
"DDD...."
"DDDD..."
"DDD...."
"DD....."
"D......"

"DDDDDDD"
"DDDDDD."
"DDDDD.."
"DDDD..."
"DDD...."
"DD....."
"D......"

"D.....D"
"DD...DD"
"DDD.DDD"
"DDDDDDD"
"DDD.DDD"
"DD...DD"
"D.....D"

"DDDDDDD"
"DDDDDDD"
"DDDDDDD"
"DDDDDDD"
"DDD.DDD"
"DD...DD"
"D.....D"

"D......"
"DD....."
"DDD...."
"DDDD..."
"DDDDD.."
"DDDDDD."
"DDDDDDD"

"DDDDDDD"
"DDDDDD."
"DDDDD.."
"DDDD..."
"DDDDD.."
"DDDDDD."
"DDDDDDD"

"D.....D"
"DD...DD"
"DDD.DDD"
"DDDDDDD"
"DDDDDDD"
"DDDDDDD"
"DDDDDDD"

"DDDDDDD"
"DDDDDDD"
"DDDDDDD"
"DDDDDDD"
"DDDDDDD"
"DDDDDDD"
"DDDDDDD"

"GGGGGGG"
"GGGGGGG"
"GGGGGGG"
"GGGGGGG"
"GGGGGGG"
"GGGGGGG"
"GGGGGGG"

"GGGGGGG"
"GDDDDDG"
"GDDDDDG"
"GDDDDDG"
"GDDDDDG"
"GDDDDDG"
"GGGGGGG"

"GGGGGGG"
"GGGGEEE"
"EGEGGGE"
"GEGGEEE"
"EGEGEGG"
"GGGGEEE"
"GGGGGGG"

"GGGGGGG"
"GGGGGWG"
"GGWGGWG"
"GWWWGWG"
"GGWGGWG"
"GGGGGWG"
"GGGGGGG"

"GGGGGGG"
"GEGGEEE"
"GGGGGGE"
"EEEGEEE"
"GGGGEGG"
"GEGGEEE"
"GGGGGGG"

"GGGGGGG"
"GGGGGWG"
"GGGGGWG"
"GWWWGWG"
"GGGGGWG"
"GGGGGWG"
"GGGGGGG"

"GGGGGGG"
"GGWGWGG"
"GWGGGWG"
"WWWWWWW"
"GWGGGWG"
"GGWGWGG"
"GGGGGGG"

"GGGGGGG"
"GGGGGGG"
"GGGGGGG"
"GEEEEEG"
"GGGGGEG"
"GGGGGGG"
"GGGGGGG"

"WWWGGGG"
"GGWGGGG"
"WWWGGGG"
"WGGGGGG"
"WWWGGGG"
"GGGGGGG"
"GGGGGGG"

"GGGGGGG"
"GGGWGGG"
"GGGWGGG"
"GGGWGGG"
"GGGGGGG"
"GGGWGGG"
"GGGGGGG"

"WWWGGGG"
"GGWGGGG"
"WWWGGGG"
"GGWGGGG"
"WWWGGGG"
"GGGGGGG"
"GGGGGGG"

"GGGGGGG"
"GGWGWGG"
"GGWGWGG"
"GGWGWGG"
"GGGGGGG"
"GGWGWGG"
"GGGGGGG"

"GGGGGGG"
"GGEGGEG"
"GEGEGEG"
"GEEEGEG"
"GEGEGEG"
"GEGEGEG"
"GGGGGGG"
Naszvadi
Posts: 1465
Joined: May 7th, 2016, 8:53 am
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Re: Thread for basic non-CGOL questions

Post by Naszvadi »

What kind of glider.db versions exist and where can we found them? I mean, categorising on range, totalistic/nontotalistic, hexagonal/Euclydean grid, blinking vs normal rules for example.

Is there any online git/content tracked online repository containing them, which is up-to-date?
mmmmmmmmm
Posts: 247
Joined: May 7th, 2025, 3:53 am

Re: Thread for basic non-CGOL questions

Post by mmmmmmmmm »

If a rule has a growing spaceship where the front end is a puffer, and the backend eats the objects like a wickeater, and it is infinitely extensible, like the one below, can it be counted as a wickstretcher?

Code: Select all

x = 49, y = 86, rule = B3/S23-a5
20b2o5b2o$19b2ob2ob2ob2o$19b2obo3bob2o2$21b2o3b2o$21b3ob3o$23b3o$24bo
2$22b2ob2o$19bo4bo4bo$17b2ob4ob4ob2o$18bo3b5o3bo$20bobobobobo$22bo3bo$
21b2o3b2o$21b3ob3o$16b3o2bobobobo2b3o$17bobobo5bobobo$19bo2bo3bo2bo$
17bobo9bobo$18b3o7b3o$20bo7bo$19b2o7b2o$19bo9bo3$17b3o9b3o$17b2o2bo5bo
2b2o$15b2ob2obo5bob2ob2o$2b3o3b3o4b2o2bo9bo2b2o4b3o3b3o$bo2bo3bo2bo4b
2o13b2o4bo2bo3bo2bo$bo3bobo3bo5bobo9bobo5bo3bobo3bo$3bobobobo8bo11bo8b
obobobo$2o2bo3bo2b2o23b2o2bo3bo2b2o$obob2ob2obobo23bobob2ob2obobo$3bob
obobo29bobobobo$4bo3bo31bo3bo$15b2o15b2o$14bo2bo13bo2bo$14bo2bo13bo2bo
$15b2o15b2o5$15b2o15b2o$14bo2bo13bo2bo$14bo2bo13bo2bo$15b2o15b2o5$15b
2o15b2o$14bo2bo13bo2bo$14bo2bo13bo2bo$15b2o15b2o2$20b3o$20bo$21bo$15b
2o15b2o$14bo2bo13bo2bo$14bo2bo13bo2bo$15b2o15b2o2$20b3o$20bo$21bo$15b
2o$14bo2bo$14bo2bo$15b2o2$20b3o$20bo$21bo$15b2o$14bo2bo$14bo2bo$15b2o
2$20b3o$20bo$21bo!
mmmmmmmmm, I love eating spaceships.
My name has 9 'm's, if you're wondering.
ThePlayzr's younger cousin
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b-engine
Posts: 3762
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Re: Thread for basic non-CGOL questions

Post by b-engine »

mmmmmmmmm wrote: July 20th, 2025, 3:15 am If a rule has a growing spaceship where the front end is a puffer, and the backend eats the objects like a wickeater, and it is infinitely extensible, like the one below, can it be counted as a wickstretcher?
A growing spaceship isn't a wickstretcher, since a wickstretcher has the wick terminated without burning.
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Resu
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Re: Thread for basic non-CGOL questions

Post by Resu »

Are these the same tagalong?

Code: Select all

x = 7, y = 15, rule = B3678/S23-a678
b2o2b2o$3o2bo$b2o2b2o6$b2o$3o$b2o2b2o$5bo$b2o2b2o$3o$b2o!

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
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