For discussion of other cellular automata.
Posts: 748
Joined: May 7th, 2016, 8:53 am
Contact:

Saka wrote:
April 7th, 2020, 8:53 am
Moosey wrote:
April 7th, 2020, 8:44 am
Okay, so this isn't a request for a ruletable, but does anyone know of a nonisotropic rule with a "rotating" spaceship besides the trivial example of a dot?
I dont know of any non-isotropic, but this kinda fits?

Code: Select all

``````x = 4, y = 3, rule = B3aijqr4cjrt5acy6an/S1c2-c3-acy4acer5ack6en7e
bo\$3o\$ob2o!``````
(original post)
Or does it have to be "exact"?
Le p140/4 rotating oscillator:

Code: Select all

``````x = 4, y = 4, rule = B3aijqr4cjrt5acy6an/S1c2-c3-acy4acer5ack6en7e
3o\$o2bo\$bobo\$b2o!
``````

JP21
Posts: 1299
Joined: October 26th, 2019, 5:39 am
Location: PH

Well that'sn't a spaceship...

Posts: 748
Joined: May 7th, 2016, 8:53 am
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JP21 wrote:
April 7th, 2020, 9:25 am
Well that'sn't a spaceship...

Code: Select all

``````x = 549, y = 204, rule = B3aijqr4cjrt5acy6an/S1c2-c3-acy4acer5ack6en7e
34\$189bo203bo\$188b2o57bo144b2o\$187bo58b2o67bo75bo\$188b2o55bo68b2o76b2o
\$189bo56b2o65bo79bo\$247bo66b2o\$50bo264bo\$49b2o\$48bo\$49b2o\$50bo2\$171bo\$
169b4o192bo\$168bobob2o124bo65bobo\$168b3o124bo3bo65b2o2bo\$173bo49bo2bo
67bo2bob2o64b2ob2o\$167b3o2bo50bobo69b6o64bo2bobo\$167bob4o52bo73b2o64bo
3b2o\$22bo145b5o51bo2b3o64bo3b3o64b2o3bo\$21bobo203bo65bobo69b2o\$22b2o2b
o196b2ob2o66b2ob2o69b2o\$22b2ob2o197bobo67b3o\$22bo2bobo197bo70bo\$22bo3b
2o\$22b2o3bo\$22b2o\$25b2o7\$116b2o\$115bo2bo\$114b2ob2o\$115b3o6\$116b3o\$116b
obo\$114bob2obo\$114bo3bo\$113b2obobo\$114b2o2bo\$116b2o\$116b2o8\$54b2o\$53bo
2bo\$52b2ob2o\$53b3o\$43bo\$42bobob2obo\$43bob2ob2o\$42bo3bo\$42b2o\$42bo2b2o\$
43bob2o\$45bo!
``````
[APPEND#1]

P420:

Code: Select all

``````x = 59, y = 19, rule = B3aijqr4cjrt5acy6an/S1c2-c3-acy4acer5ack6en7e
56b2o\$56bobo\$55bo2bo\$55b3o6\$37b2o\$37b2o\$38bo\$37b2o\$37b2o2\$b2o\$bobo\$o2b
o\$3o!``````
[APPEND#2]

more c/3 ship vs. p140 reactions:

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``````x = 724, y = 311, rule = B3aijqr4cjrt5acy6an/S1c2-c3-acy4acer5ack6en7e
169b2o\$76b3o88b5o\$76bobo88bob2obo\$75bobobo86b2ob2ob2o\$75bo2bo88bo2b3o\$
76b3o89bo7\$96b3o90b3o\$96bo92bo\$96b3o90b3o29\$80bo2\$74bo\$72b2o5bo\$74bob
4o\$76b3o10\$95b3o\$95bo\$95b3o25\$81b3o\$81bo\$81b3o\$208bo\$207b2o\$71bo134bo\$
70b2obo133b2o\$70b2o2bo133bo\$73b2o\$70bo3bo\$67b2ob2obo\$67bob2obobo\$73bo
4\$193bo\$192b2o\$192b2obo\$191bob3o\$191bo3bo\$190b2ob2o\$190b5o\$143bo\$142b
2o\$141bo\$142b2o\$143bo3\$69bo\$67b2obo\$67bo2bo8b3o\$67b3o9bo\$67bob2o8b3o\$
68b3o\$67b2obo54bo2bo\$70bo3bo50bobo\$71b2o54bo\$72bo53bo2b3o\$129bo\$125b2o
b2o\$126bobo\$127bo18\$2o\$ob2o\$o2bo\$b2o3\$172bo\$171b2o57bo\$170bo58b2o67bo\$
171b2o55bo68b2o\$172bo56b2o65bo\$230bo66b2o\$298bo\$25b3o\$25bo340bo\$25b3o
130b3o204b2o\$159bob2o121b2o78bo95bo\$156b4ob2o121bobo78b2o92b2o\$157b2o
3bo203bo91bo\$159b4o121b4obo169b2o95b3o\$161b2o55bo66bo4bo169bo95bo\$216b
4o63b3o3bo266b3o76b3o\$215bobob2o64b2obo346bo\$215b3o229b2o186b3o\$220bo
224b2obo262b3o7b3o\$214b3o2bo225bo3bo260b5o6bo\$214bob4o135b2o88b2ob2o
95bob4o158bo2b3o6b3o\$215b5o135bobo88bobo96b2obobo75b3o81b2ob2o\$351b8o
89bo2bo94b3o2bo72b2obo2bo79b2obo\$351b2obo3bo91bo93b4ob2o74b2o3bo83bobo
\$353bo189bo171bo\$542b2o79b3o2b2o\$351bo3bo266bob6o\$350b2o192bo78bo5\$
103bo\$101bob2o\$100bo2b2o\$100b2o\$100bo3bo\$101bob2ob2o\$100bobob2obo\$101b
o4\$103bo\$103b3o\$101b2ob2o\$104bobo\$99b3o3bo\$99b2o\$99b6o\$99b2obo2bo\$100b
o3bo\$101bo4\$41bo\$39bob2o\$38bo2b2o\$38b2o\$38bo3bo\$39bob2ob2o\$38bobob2obo
\$39bo5\$32b3o\$32bo2bo\$31bobobo\$32bobo\$32b3o44\$665b2obobo\$664bobobob2o\$
664b3ob2o2\$664b2obo\$664bo\$665b4o\$667bo13\$683b3o\$683bo\$683b3o13\$667bo\$
665b4o\$664bo\$664b2obo2\$664b3ob2o\$664bobobob2o\$665b2obobo!
``````

gameoflifemaniac
Posts: 1225
Joined: January 22nd, 2017, 11:17 am
Location: There too

Is anyone still trying to make a rule simulating three Life universes at once?
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

``````b4o25bo\$o29bo\$b3o3b3o2bob2o2bob2o2bo3bobo\$4bobo3bob2o2bob2o2bobo3bobo\$
4bobo3bobo5bo5bo3bobo\$o3bobo3bobo5bo6b4o\$b3o3b3o2bo5bo9bobo\$24b4o!``````

JP21
Posts: 1299
Joined: October 26th, 2019, 5:39 am
Location: PH

gameoflifemaniac wrote:
April 9th, 2020, 9:33 am
Is anyone trying to make a rule simulating three Life universes at once?
Anyone else needs your help except for me because I already made one a looong time ago...

Code: Select all

``````@RULE 3-in-1v2

@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a={0,1,2,3}
var a1={a}
var a2={a}
var a3={a}
var b={0,2,3}
var b1={b}
var b2={b}
var b3={b}
var b4={b}
var b5={b}
var b6={b}
var c={0,1,3}
var c1={c}
var c2={c}
var c3={c}
var c4={c}
var c5={c}
var d={0,1,2}
var d1={d}
var d2={d}
var d3={d}
var d4={d}
var d5={d}
var d6={d}
var d7={d}
var e={0,2}
var e1={e}
var f={2,3}
var g={1,3}
var h={1,2}
0,1,1,1,0,0,0,0,0,1
1,a,b,b1,b2,b3,b4,b5,b6,0
1,1,1,1,1,a,a1,a2,a3,0
1,1,1,a,b,b1,b2,b3,f,0
0,2,2,2,0,0,0,0,0,2
0,2,2,2,2,2,2,e,e1,2
2,a,a1,c,c1,c2,c3,c4,c5,0
2,2,2,2,2,2,c,c1,c2,0
2,2,2,2,a,c,c1,c2,g,0
2,2,2,2,2,2,2,a,g,0
0,3,3,3,0,0,0,0,0,3
0,3,3,3,3,3,3,0,0,3
3,d,d1,d2,d3,d4,d5,d6,d7,0
3,3,3,3,a,d,d1,d2,d3,0
3,3,3,3,3,3,3,a,a1,0
3,3,a,d,d1,d2,d3,d4,h,0
3,3,3,3,3,3,d,d1,h,0
@COLORS
1 0 255 0
2 255 128 0
3 255 255 0
``````
But I can't do non-totalistic ones.

gameoflifemaniac
Posts: 1225
Joined: January 22nd, 2017, 11:17 am
Location: There too

JP21 wrote:
April 9th, 2020, 9:36 am
gameoflifemaniac wrote:
April 9th, 2020, 9:33 am
Is anyone trying to make a rule simulating three Life universes at once?
Any else needs your help except for me because I already made one a looong time ago...

Code: Select all

``````@RULE 3-in-1v2

@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a={0,1,2,3}
var a1={a}
var a2={a}
var a3={a}
var b={0,2,3}
var b1={b}
var b2={b}
var b3={b}
var b4={b}
var b5={b}
var b6={b}
var c={0,1,3}
var c1={c}
var c2={c}
var c3={c}
var c4={c}
var c5={c}
var d={0,1,2}
var d1={d}
var d2={d}
var d3={d}
var d4={d}
var d5={d}
var d6={d}
var d7={d}
var e={0,2}
var e1={e}
var f={2,3}
var g={1,3}
var h={1,2}
0,1,1,1,0,0,0,0,0,1
1,a,b,b1,b2,b3,b4,b5,b6,0
1,1,1,1,1,a,a1,a2,a3,0
1,1,1,a,b,b1,b2,b3,f,0
0,2,2,2,0,0,0,0,0,2
0,2,2,2,2,2,2,e,e1,2
2,a,a1,c,c1,c2,c3,c4,c5,0
2,2,2,2,2,2,c,c1,c2,0
2,2,2,2,a,c,c1,c2,g,0
2,2,2,2,2,2,2,a,g,0
0,3,3,3,0,0,0,0,0,3
0,3,3,3,3,3,3,0,0,3
3,d,d1,d2,d3,d4,d5,d6,d7,0
3,3,3,3,a,d,d1,d2,d3,0
3,3,3,3,3,3,3,a,a1,0
3,3,a,d,d1,d2,d3,d4,h,0
3,3,3,3,3,3,d,d1,h,0
@COLORS
1 0 255 0
2 255 128 0
3 255 255 0
``````
But I can't do non-totalistic ones.
Sorry, I meant overlapping universes, which is 2^3 = 8 states.
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

``````b4o25bo\$o29bo\$b3o3b3o2bob2o2bob2o2bo3bobo\$4bobo3bob2o2bob2o2bobo3bobo\$
4bobo3bobo5bo5bo3bobo\$o3bobo3bobo5bo6b4o\$b3o3b3o2bo5bo9bobo\$24b4o!``````

JP21
Posts: 1299
Joined: October 26th, 2019, 5:39 am
Location: PH

I have this two life universe though...

Code: Select all

``````@RULE 2life

@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var a1={a}
var a2={a}
var a3={a}
var b={1,2}
var b1={b}
var b2={b}
var b3={b}
var b4={b}
0,1,1,b,0,0,0,0,0,1
0,2,2,b,0,0,0,0,0,2
b,a,0,0,0,0,0,0,0,0
b,b1,b2,b3,b4,a,a1,a2,a3,0
@COLORS
1 0 0 255
2 255 0 0
``````
I'm sorry, you meant 3 and with different rules right?
And they don't overlap I think.

gameoflifemaniac
Posts: 1225
Joined: January 22nd, 2017, 11:17 am
Location: There too

JP21 wrote:
April 9th, 2020, 9:39 am
I have this two life universe though...

Code: Select all

``````@RULE 2life

@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var a1={a}
var a2={a}
var a3={a}
var b={1,2}
var b1={b}
var b2={b}
var b3={b}
var b4={b}
0,1,1,b,0,0,0,0,0,1
0,2,2,b,0,0,0,0,0,2
b,a,0,0,0,0,0,0,0,0
b,b1,b2,b3,b4,a,a1,a2,a3,0
@COLORS
1 0 0 255
2 255 0 0
``````
I'm sorry, you meant 3 and with different rules right?
And they don't overlap I think.
No, I meant that there can be 3 ON cells in the same place, 3 independent universes. Someone tried to do it, but it didn't work.
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

``````b4o25bo\$o29bo\$b3o3b3o2bob2o2bob2o2bo3bobo\$4bobo3bob2o2bob2o2bobo3bobo\$
4bobo3bobo5bo5bo3bobo\$o3bobo3bobo5bo6b4o\$b3o3b3o2bo5bo9bobo\$24b4o!``````

dvgrn
Moderator
Posts: 7587
Joined: May 17th, 2009, 11:00 pm
Contact:

gameoflifemaniac wrote:
April 9th, 2020, 9:33 am
Is anyone still trying to make a rule simulating three Life universes at once?
As far as I know, TripleB3S23 is still where we left it over two years ago -- unless you count 83bisumuth38's manual effort, but it would probably take way more work to sort through that partial rule table and understand what's missing, than to just start fresh and automatically generate all the rule lines you need.

It's still a fairly simple task (as these things go) to write a script to generate the rule lines for TripleB3S23 or QuadrupleB3S23 or even QuintupleB3S23. And I'm still happy to assist, but not too interested in doing all the work myself, same as before:
dvgrn wrote:
March 8th, 2017, 10:45 am
If someone else was clearly putting in effort at trying to write the rule-building script, though, and getting stuck somewhere along the way, then I'd be very happy to help out.
If you want these kinds of things to happen, it's totally worth putting in the time to get good at writing these kinds of generator scripts. They take some practice, but they're really not rocket surgery.

EDIT: Should clarify: it's easy to write a script to generate QuadrupleB3S23 or QuintupleB3S23, but it might not necessarily run to completion in any reasonable amount of time. Even QuadrupleB3S23 has to deal with over 68 billion cases (2^4 states needed, 9 cells, so 16^9); the number of rule lines can be cut down quite a bit with "permute" symmetry, but I think the rule would still run stupidly slow in Golly. TripleB3S23 has better odds of success (2^3 states needed, 9 cells, so 8^9 = 262144 rule lines if you generated them in the simplest possible way, no permutations.)

Moosey
Posts: 4028
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

I'd like an implementation of the esolang Underload in CA.
Last edited by Moosey on April 24th, 2020, 8:14 am, edited 2 times in total.
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

83bismuth38
Posts: 485
Joined: March 2nd, 2017, 4:23 pm
Location: Still sitting around in Sagittarius A...
Contact:

dvgrn wrote:
April 9th, 2020, 10:04 am
unless you count 83bisumuth38's manual effort
Fun fact, this is how I accedentally made brew. I was on the verge of giving up and so I just messed with the rule a bit and made each cell go down a universe, and viola! However, this does mean that if anybody does write that script, I'd also like them to write a version that creates the real brew, where the cells can actually overlap. And, if the script is so easy to write, why hasn't somebody already done it?

Code: Select all

``````x = 8, y = 10, rule = B3/S23
3b2o\$3b2o\$2b3o\$4bobo\$2obobobo\$3bo2bo\$2bobo2bo\$2bo4bo\$2bo4bo\$2bo!
``````
No football of any dui mauris said that.

dvgrn
Moderator
Posts: 7587
Joined: May 17th, 2009, 11:00 pm
Contact:

83bismuth38 wrote:
April 15th, 2020, 12:21 pm
... if the script is so easy to write, why hasn't somebody already done it?
Well... speaking for myself, I haven't written it because it doesn't seem like the resulting rule will be very interesting. Everybody's a volunteer around here, and apparently nobody has wanted to volunteer in this case.

On the other hand, it's a really good easy-to-intermediate exercise in Python or Lua scripting. So it seems like someone should take on the project who wants to understand the basics of how rule tables work and needs a little scripting practice. Or if no one cares enough about it to invest the time on it, that's perfectly fine too.

If you don't want to think too hard, you could just make nine nested for loops -- 0 to 7 for each of 9 cells (center and neighbors). Skip any combinations that aren't sorted highest to lowest. Calculate what the result should be for that combination of neighbors, and write the rule line.

8^9 = 136 million iterations later (but not nearly that many rule lines) you'll have a permute-symmetry TripleB3S23 rule table.

Hunting
Posts: 4150
Joined: September 11th, 2017, 2:54 am

Moosey wrote:
April 15th, 2020, 10:18 am
I'd like an implementation of the resoling Underload in CA.
I'd also like an implementation of 1+, though that maybe a good bit harder.
she/her

LeapLife - DirtyLife - LispLife

Moosey
Posts: 4028
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

While responding to an attempt to improve Wireworld, RSboi and I described this rule
Moosey wrote:
April 24th, 2020, 8:12 am
BokaBB wrote:
April 24th, 2020, 7:32 am
Will make objects much smaller.
Have a good day!

BokaBB
I think RSBoi's point is that such a system is expensive and that you could easily make objects even smaller if you just give us, say, six extra states for smaller diodes (diode head empty, diode tail empty, diode head head, diode tail head, diode head tail, and diode tail tail), which would give us a much more versatile system at the same price of adding the same number of states as only your "battery".
Can anyone construct the described ruleset, as a sort of proof of concept? As long as the rules are Wireworld + some rules for [diode head empty, diode tail empty, diode head head, diode tail head, diode head tail, and diode tail tail], I'll be ok with it
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

EvinZL
Posts: 367
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

Bump
Moosey wrote:
April 24th, 2020, 8:17 am
While responding to an attempt to improve Wireworld, RSboi and I described this rule
Moosey wrote: ...

I think RSBoi's point is that such a system is expensive and that you could easily make objects even smaller if you just give us, say, six extra states for smaller diodes (diode head empty, diode tail empty, diode head head, diode tail head, diode head tail, and diode tail tail), which would give us a much more versatile system at the same price of adding the same number of states as only your "battery".
Can anyone construct the described ruleset, as a sort of proof of concept? As long as the rules are Wireworld + some rules for [diode head empty, diode tail empty, diode head head, diode tail head, diode head tail, and diode tail tail], I'll be ok with it
Here:
basically WW except anodes ignore cathode charges

Code: Select all

``````@RULE WWDiode
********************************
**** COMPILED FROM NUTSHELL ****
****         v0.5.8         ****
********************************
1: wire
3: tail
4: anode
5: anode charge
6: anode tail
7: cathode
8: cathode charge
9: cathode tail

@TABLE
neighborhood: Moore
symmetries: permute
n_states: 10

var any.0 = {0,1,2,3,4,5,6,7,8,9}
var any.1 = any.0
var any.2 = any.0
var any.3 = any.0
var any.4 = any.0
var any.5 = any.0
var any.6 = any.0
var any.7 = any.0
var _a0.0 = {8,2,5}
var _b0.0 = {0,1,3,4,6,7,9}
var _b0.1 = _b0.0
var _b0.2 = _b0.0
var _b0.3 = _b0.0
var _b0.4 = _b0.0
var _b0.5 = _b0.0
var _c0.0 = {2,5}
var _d0.0 = {0,1,3,4,6,7,8,9}
var _d0.1 = _d0.0
var _d0.2 = _d0.0
var _d0.3 = _d0.0
var _d0.4 = _d0.0
var _d0.5 = _d0.0

1, _a0.0, any.0, _b0.0, _b0.1, _b0.2, _b0.3, _b0.4, _b0.5, 2
7, _a0.0, any.0, _b0.0, _b0.1, _b0.2, _b0.3, _b0.4, _b0.5, 8
4, _c0.0, any.0, _d0.0, _d0.1, _d0.2, _d0.3, _d0.4, _d0.5, 5
2, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 3
3, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 1
5, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 6
6, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 4
8, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 9
9, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 7

@COLORS
0 0 0 0
1 136 136 136
2 255 255 255
3 204 204 204
4 0 0 255
5 204 204 255
6 102 102 255
7 255 0 0
8 255 204 204
9 255 102 102
``````
Good?

Code: Select all

``````x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A\$3A7.3A15.3A15.3A7.3A\$.2A7.2A15.A3.A15.2A7.2A\$26.A5.A
\$26.A5.A\$26.3A.3A2\$26.3A.3A\$26.A5.A\$26.A5.A\$27.A3.A\$28.3A!
``````

dvgrn
Moderator
Posts: 7587
Joined: May 17th, 2009, 11:00 pm
Contact:

dvgrn wrote:
April 15th, 2020, 2:15 pm
If you don't want to think too hard, you could just make nine nested for loops -- 0 to 7 for each of 9 cells (center and neighbors). Skip any combinations that aren't sorted highest to lowest. Calculate what the result should be for that combination of neighbors, and write the rule line.

8^9 = 136 million iterations later (but not nearly that many rule lines) you'll have a permute-symmetry TripleB3S23 rule table.
Or ... there must be a smarter way to do this. Maybe it was via Golly's Rules/TreeGenerators/RuleTreeGen.py/.lua? TripleB3S23 in rule tree format turns out to be a very reasonable size -- it showed up on the ConwayLife Lounge on Discord today.

Code: Select all

```x = 90, y = 49, rule = TripleB3S23 81.2F.F\$81.F.2F4\$11.2C5.2A\$11.2C5.2A63.G\$78.3G3.G3.2G\$15.2A61.G6.G2. 2G\$11.B3.2A61.G5.G\$10.B.B5.2B59.2G.2G\$9.B3.B4.B\$9.B9.B\$18.2B\$9.B2.B 20.2A.2A\$9.B2.B19.A5.A22.2G\$10.3B19.A6.A2.2A17.2G\$32.3A3.A3.2A\$37.A 19.2G5.2G\$57.2G5.2G4\$35.A.2A\$35.2A.A\$62.2B.B\$62.B.2B3\$2B3.D.2D\$2B3.2D .D2\$3.2B\$3.2B2\$6.D\$2F3.D3.3D\$2F2.D6.D\$5.D5.D\$6.2D.2D5\$27.2D\$27.2D2\$ 24.2D5.2D\$24.2D5.2D! #C [[ THUMBNAIL THUMBSIZE 3 HEIGHT 800 AUTOSTART ]]```

gameoflifemaniac
Posts: 1225
Joined: January 22nd, 2017, 11:17 am
Location: There too

dvgrn wrote:
May 15th, 2020, 4:05 pm
dvgrn wrote:
April 15th, 2020, 2:15 pm
If you don't want to think too hard, you could just make nine nested for loops -- 0 to 7 for each of 9 cells (center and neighbors). Skip any combinations that aren't sorted highest to lowest. Calculate what the result should be for that combination of neighbors, and write the rule line.

8^9 = 136 million iterations later (but not nearly that many rule lines) you'll have a permute-symmetry TripleB3S23 rule table.
Or ... there must be a smarter way to do this. Maybe it was via Golly's Rules/TreeGenerators/RuleTreeGen.py/.lua? TripleB3S23 in rule tree format turns out to be a very reasonable size -- it showed up on the ConwayLife Lounge on Discord today.

Code: Select all

```x = 90, y = 49, rule = TripleB3S23 81.2F.F\$81.F.2F4\$11.2C5.2A\$11.2C5.2A63.G\$78.3G3.G3.2G\$15.2A61.G6.G2. 2G\$11.B3.2A61.G5.G\$10.B.B5.2B59.2G.2G\$9.B3.B4.B\$9.B9.B\$18.2B\$9.B2.B 20.2A.2A\$9.B2.B19.A5.A22.2G\$10.3B19.A6.A2.2A17.2G\$32.3A3.A3.2A\$37.A 19.2G5.2G\$57.2G5.2G4\$35.A.2A\$35.2A.A\$62.2B.B\$62.B.2B3\$2B3.D.2D\$2B3.2D .D2\$3.2B\$3.2B2\$6.D\$2F3.D3.3D\$2F2.D6.D\$5.D5.D\$6.2D.2D5\$27.2D\$27.2D2\$ 24.2D5.2D\$24.2D5.2D! #C [[ THUMBNAIL THUMBSIZE 3 HEIGHT 800 AUTOSTART ]]```
It's finally finished... wow.

Code: Select all

``````x = 320, y = 366, rule = TripleB3S23
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``````
I was so socially awkward in the past and it will haunt me for the rest of my life.

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``````b4o25bo\$o29bo\$b3o3b3o2bob2o2bob2o2bo3bobo\$4bobo3bob2o2bob2o2bobo3bobo\$
4bobo3bobo5bo5bo3bobo\$o3bobo3bobo5bo6b4o\$b3o3b3o2bo5bo9bobo\$24b4o!``````

EvinZL
Posts: 367
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

Code: Select all

``````x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A\$3A7.3A15.3A15.3A7.3A\$.2A7.2A15.A3.A15.2A7.2A\$26.A5.A
\$26.A5.A\$26.3A.3A2\$26.3A.3A\$26.A5.A\$26.A5.A\$27.A3.A\$28.3A!
``````

bubblegum
Posts: 736
Joined: August 25th, 2019, 11:59 pm

why did i just create the real brew independently and by hand without checking the discord server first?
(facepalm)
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
bubblegum wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
part-time stator reducer

dvgrn
Moderator
Posts: 7587
Joined: May 17th, 2009, 11:00 pm
Contact:

EvinZL wrote:
May 15th, 2020, 4:26 pm
You mentioned on Discord that "Triple took like a while to generate". The rule table generator tried all 136 million neighborhoods, collected all the output state values, and made the simplest possible tree (or one of the simplest) that produced all of those outputs. QuadrupleB3S23 would be 16^9 = 68.7 billion neighborhoods to process, so I'd expect it to take 512 times as long to finish its work (or run out of memory).

... But the TripleB3S23 rule tree only has 566 lines in it! Which means there should be a much more efficient way of generating rule trees, specifically for overlapping non-interacting universes, which might get us to quadruple or quintuple B3S23 before the size gets unreasonable. It's only (or is it "only"?) a matter of figuring out what the shortcuts are that the rule tree ends up taking.

If anyone wants to know how rule trees work, the details are in Golly's Help under File Formats. It's not terribly difficult to walk through the tree by hand and find out what Golly will do with any given neighborhood input. The most annoying thing is that the numbers in a rule tree are not precisely line numbers -- they're line-numbers-starting-from-0-being-the-first-actual-rule-tree-line, but they're not labeled; an interpreting program just counts them up as it reads the file.

Here's an annotated copy of the TripleB3S23 rule tree, specifically calling out the line numbers, the depth numbers, and the indiscriminately mixed-in numbers that are actually state values:

Code: Select all

``````# Each line, starting with the root node which is Line 565, tells you where
# to go depending on the state -- 0 through 7 -- of the next neighbor,
# in this neighbor order:  NW NE SW SE N W E S center.
#
# So, for example, Line 3 says to jump to either Line 2 or Line 0,
# depending on whether the neighbor being processed is even or odd.
# That is, Line 3 translates to:
#   IF cellstate == 0, go to Line 0
#   IF cellstate == 1, go to Line 2
#   IF cellstate == 2, go to Line 0
#   IF cellstate == 3, go to Line 2
#   IF cellstate == 4, go to Line 0
#   IF cellstate == 5, go to Line 2
#   IF cellstate == 6, go to Line 0
#   IF cellstate == 7, go to Line 2
#
# Line 2 is a depth-1 node, so it contains actual state values.
# It says that if the center state is odd, the output is State 1 --
#   otherwise it's State 0.
# By contrast, Line 0 says that no matter what the center state is,
#   State 0 is the correct output.
# This makes sense, because in TripleB3S23, odd states correspond to
# a cell in the (state OR 1) universe being ON, with 1, 3, 5, and 7
# corresponding to various state values for other overlapping universes.

Line   0: Depth_1 State0 State0 State0 State0 State0 State0 State0 State0
Line   1: Depth_2 0 0 0 0 0 0 0 0
Line   2: Depth_1 State0 State1 State0 State1 State0 State1 State0 State1
Line   3: Depth_2 0 2 0 2 0 2 0 2
Line   4: Depth_1 State0 State0 State2 State2 State0 State0 State2 State2
Line   5: Depth_2 0 0 4 4 0 0 4 4
Line   6: Depth_1 State0 State1 State2 State3 State0 State1 State2 State3
Line   7: Depth_2 0 2 4 6 0 2 4 6
Line   8: Depth_1 State0 State0 State0 State0 State4 State4 State4 State4
Line   9: Depth_2 0 0 0 0 8 8 8 8
Line  10: Depth_1 State0 State1 State0 State1 State4 State5 State4 State5
Line  11: Depth_2 0 2 0 2 8 10 8 10
Line  12: Depth_1 State0 State0 State2 State2 State4 State4 State6 State6
Line  13: Depth_2 0 0 4 4 8 8 12 12
Line  14: Depth_1 State0 State1 State2 State3 State4 State5 State6 State7
Line  15: Depth_2 0 2 4 6 8 10 12 14
Line  16: Depth_3 1 3 5 7 9 11 13 15
Line  17: Depth_1 State1 State1 State1 State1 State1 State1 State1 State1
Line  18: Depth_2 2 17 2 17 2 17 2 17
Line  19: Depth_1 State1 State1 State3 State3 State1 State1 State3 State3
Line  20: Depth_2 2 17 6 19 2 17 6 19
Line  21: Depth_1 State1 State1 State1 State1 State5 State5 State5 State5
Line  22: Depth_2 2 17 2 17 10 21 10 21
Line  23: Depth_1 State1 State1 State3 State3 State5 State5 State7 State7
Line  24: Depth_2 2 17 6 19 10 21 14 23
Line  25: Depth_3 3 18 7 20 11 22 15 24
Line  26: Depth_1 State2 State2 State2 State2 State2 State2 State2 State2
Line  27: Depth_2 4 4 26 26 4 4 26 26
Line  28: Depth_1 State2 State3 State2 State3 State2 State3 State2 State3
Line  29: Depth_2 4 6 26 28 4 6 26 28
Line  30: Depth_1 State2 State2 State2 State2 State6 State6 State6 State6
Line  31: Depth_2 4 4 26 26 12 12 30 30
Line  32: Depth_1 State2 State3 State2 State3 State6 State7 State6 State7
Line  33: Depth_2 4 6 26 28 12 14 30 32
Line  34: Depth_3 5 7 27 29 13 15 31 33
Line  35: Depth_1 State3 State3 State3 State3 State3 State3 State3 State3
Line  36: Depth_2 6 19 28 35 6 19 28 35
Line  37: Depth_1 State3 State3 State3 State3 State7 State7 State7 State7
Line  38: Depth_2 6 19 28 35 14 23 32 37
Line  39: Depth_3 7 20 29 36 15 24 33 38
Line  40: Depth_1 State4 State4 State4 State4 State4 State4 State4 State4
Line  41: Depth_2 8 8 8 8 40 40 40 40
Line  42: Depth_1 State4 State5 State4 State5 State4 State5 State4 State5
Line  43: Depth_2 8 10 8 10 40 42 40 42
Line  44: Depth_1 State4 State4 State6 State6 State4 State4 State6 State6
Line  45: Depth_2 8 8 12 12 40 40 44 44
Line  46: Depth_1 State4 State5 State6 State7 State4 State5 State6 State7
Line  47: Depth_2 8 10 12 14 40 42 44 46
Line  48: Depth_3 9 11 13 15 41 43 45 47
Line  49: Depth_1 State5 State5 State5 State5 State5 State5 State5 State5
Line  50: Depth_2 10 21 10 21 42 49 42 49
Line  51: Depth_1 State5 State5 State7 State7 State5 State5 State7 State7
Line  52: Depth_2 10 21 14 23 42 49 46 51
Line  53: Depth_3 11 22 15 24 43 50 47 52
Line  54: Depth_1 State6 State6 State6 State6 State6 State6 State6 State6
Line  55: Depth_2 12 12 30 30 44 44 54 54
Line  56: Depth_1 State6 State7 State6 State7 State6 State7 State6 State7
Line  57: Depth_2 12 14 30 32 44 46 54 56
Line  58: Depth_3 13 15 31 33 45 47 55 57
Line  59: Depth_1 State7 State7 State7 State7 State7 State7 State7 State7
Line  60: Depth_2 14 23 32 37 46 51 56 59
Line  61: Depth_3 15 24 33 38 47 52 57 60
Line  62: Depth_4 16 25 34 39 48 53 58 61
Line  63: Depth_2 17 0 17 0 17 0 17 0
Line  64: Depth_2 17 0 19 4 17 0 19 4
Line  65: Depth_2 17 0 17 0 21 8 21 8
Line  66: Depth_2 17 0 19 4 21 8 23 12
Line  67: Depth_3 18 63 20 64 22 65 24 66
Line  68: Depth_2 19 4 35 26 19 4 35 26
Line  69: Depth_2 19 4 35 26 23 12 37 30
Line  70: Depth_3 20 64 36 68 24 66 38 69
Line  71: Depth_2 21 8 21 8 49 40 49 40
Line  72: Depth_2 21 8 23 12 49 40 51 44
Line  73: Depth_3 22 65 24 66 50 71 52 72
Line  74: Depth_2 23 12 37 30 51 44 59 54
Line  75: Depth_3 24 66 38 69 52 72 60 74
Line  76: Depth_4 25 67 39 70 53 73 61 75
Line  77: Depth_2 26 26 0 0 26 26 0 0
Line  78: Depth_2 26 28 0 2 26 28 0 2
Line  79: Depth_2 26 26 0 0 30 30 8 8
Line  80: Depth_2 26 28 0 2 30 32 8 10
Line  81: Depth_3 27 29 77 78 31 33 79 80
Line  82: Depth_2 28 35 2 17 28 35 2 17
Line  83: Depth_2 28 35 2 17 32 37 10 21
Line  84: Depth_3 29 36 78 82 33 38 80 83
Line  85: Depth_2 30 30 8 8 54 54 40 40
Line  86: Depth_2 30 32 8 10 54 56 40 42
Line  87: Depth_3 31 33 79 80 55 57 85 86
Line  88: Depth_2 32 37 10 21 56 59 42 49
Line  89: Depth_3 33 38 80 83 57 60 86 88
Line  90: Depth_4 34 39 81 84 58 61 87 89
Line  91: Depth_2 35 26 17 0 35 26 17 0
Line  92: Depth_2 35 26 17 0 37 30 21 8
Line  93: Depth_3 36 68 82 91 38 69 83 92
Line  94: Depth_2 37 30 21 8 59 54 49 40
Line  95: Depth_3 38 69 83 92 60 74 88 94
Line  96: Depth_4 39 70 84 93 61 75 89 95
Line  97: Depth_2 40 40 40 40 0 0 0 0
Line  98: Depth_2 40 42 40 42 0 2 0 2
Line  99: Depth_2 40 40 44 44 0 0 4 4
Line 100: Depth_2 40 42 44 46 0 2 4 6
Line 101: Depth_3 41 43 45 47 97 98 99 100
Line 102: Depth_2 42 49 42 49 2 17 2 17
Line 103: Depth_2 42 49 46 51 2 17 6 19
Line 104: Depth_3 43 50 47 52 98 102 100 103
Line 105: Depth_2 44 44 54 54 4 4 26 26
Line 106: Depth_2 44 46 54 56 4 6 26 28
Line 107: Depth_3 45 47 55 57 99 100 105 106
Line 108: Depth_2 46 51 56 59 6 19 28 35
Line 109: Depth_3 47 52 57 60 100 103 106 108
Line 110: Depth_4 48 53 58 61 101 104 107 109
Line 111: Depth_2 49 40 49 40 17 0 17 0
Line 112: Depth_2 49 40 51 44 17 0 19 4
Line 113: Depth_3 50 71 52 72 102 111 103 112
Line 114: Depth_2 51 44 59 54 19 4 35 26
Line 115: Depth_3 52 72 60 74 103 112 108 114
Line 116: Depth_4 53 73 61 75 104 113 109 115
Line 117: Depth_2 54 54 40 40 26 26 0 0
Line 118: Depth_2 54 56 40 42 26 28 0 2
Line 119: Depth_3 55 57 85 86 105 106 117 118
Line 120: Depth_2 56 59 42 49 28 35 2 17
Line 121: Depth_3 57 60 86 88 106 108 118 120
Line 122: Depth_4 58 61 87 89 107 109 119 121
Line 123: Depth_2 59 54 49 40 35 26 17 0
Line 124: Depth_3 60 74 88 94 108 114 120 123
Line 125: Depth_4 61 75 89 95 109 115 121 124
Line 126: Depth_5 62 76 90 96 110 116 122 125
Line 127: Depth_3 63 1 64 5 65 9 66 13
Line 128: Depth_3 64 5 68 27 66 13 69 31
Line 129: Depth_3 65 9 66 13 71 41 72 45
Line 130: Depth_3 66 13 69 31 72 45 74 55
Line 131: Depth_4 67 127 70 128 73 129 75 130
Line 132: Depth_3 68 27 91 77 69 31 92 79
Line 133: Depth_3 69 31 92 79 74 55 94 85
Line 134: Depth_4 70 128 93 132 75 130 95 133
Line 135: Depth_3 71 41 72 45 111 97 112 99
Line 136: Depth_3 72 45 74 55 112 99 114 105
Line 137: Depth_4 73 129 75 130 113 135 115 136
Line 138: Depth_3 74 55 94 85 114 105 123 117
Line 139: Depth_4 75 130 95 133 115 136 124 138
Line 140: Depth_5 76 131 96 134 116 137 125 139
Line 141: Depth_3 77 78 1 3 79 80 9 11
Line 142: Depth_3 78 82 3 18 80 83 11 22
Line 143: Depth_3 79 80 9 11 85 86 41 43
Line 144: Depth_3 80 83 11 22 86 88 43 50
Line 145: Depth_4 81 84 141 142 87 89 143 144
Line 146: Depth_3 82 91 18 63 83 92 22 65
Line 147: Depth_3 83 92 22 65 88 94 50 71
Line 148: Depth_4 84 93 142 146 89 95 144 147
Line 149: Depth_3 85 86 41 43 117 118 97 98
Line 150: Depth_3 86 88 43 50 118 120 98 102
Line 151: Depth_4 87 89 143 144 119 121 149 150
Line 152: Depth_3 88 94 50 71 120 123 102 111
Line 153: Depth_4 89 95 144 147 121 124 150 152
Line 154: Depth_5 90 96 145 148 122 125 151 153
Line 155: Depth_3 91 77 63 1 92 79 65 9
Line 156: Depth_3 92 79 65 9 94 85 71 41
Line 157: Depth_4 93 132 146 155 95 133 147 156
Line 158: Depth_3 94 85 71 41 123 117 111 97
Line 159: Depth_4 95 133 147 156 124 138 152 158
Line 160: Depth_5 96 134 148 157 125 139 153 159
Line 161: Depth_3 97 98 99 100 1 3 5 7
Line 162: Depth_3 98 102 100 103 3 18 7 20
Line 163: Depth_3 99 100 105 106 5 7 27 29
Line 164: Depth_3 100 103 106 108 7 20 29 36
Line 165: Depth_4 101 104 107 109 161 162 163 164
Line 166: Depth_3 102 111 103 112 18 63 20 64
Line 167: Depth_3 103 112 108 114 20 64 36 68
Line 168: Depth_4 104 113 109 115 162 166 164 167
Line 169: Depth_3 105 106 117 118 27 29 77 78
Line 170: Depth_3 106 108 118 120 29 36 78 82
Line 171: Depth_4 107 109 119 121 163 164 169 170
Line 172: Depth_3 108 114 120 123 36 68 82 91
Line 173: Depth_4 109 115 121 124 164 167 170 172
Line 174: Depth_5 110 116 122 125 165 168 171 173
Line 175: Depth_3 111 97 112 99 63 1 64 5
Line 176: Depth_3 112 99 114 105 64 5 68 27
Line 177: Depth_4 113 135 115 136 166 175 167 176
Line 178: Depth_3 114 105 123 117 68 27 91 77
Line 179: Depth_4 115 136 124 138 167 176 172 178
Line 180: Depth_5 116 137 125 139 168 177 173 179
Line 181: Depth_3 117 118 97 98 77 78 1 3
Line 182: Depth_3 118 120 98 102 78 82 3 18
Line 183: Depth_4 119 121 149 150 169 170 181 182
Line 184: Depth_3 120 123 102 111 82 91 18 63
Line 185: Depth_4 121 124 150 152 170 172 182 184
Line 186: Depth_5 122 125 151 153 171 173 183 185
Line 187: Depth_3 123 117 111 97 91 77 63 1
Line 188: Depth_4 124 138 152 158 172 178 184 187
Line 189: Depth_5 125 139 153 159 173 179 185 188
Line 190: Depth_6 126 140 154 160 174 180 186 189
Line 191: Depth_3 1 1 5 5 9 9 13 13
Line 192: Depth_3 5 5 27 27 13 13 31 31
Line 193: Depth_3 9 9 13 13 41 41 45 45
Line 194: Depth_3 13 13 31 31 45 45 55 55
Line 195: Depth_4 127 191 128 192 129 193 130 194
Line 196: Depth_3 27 27 77 77 31 31 79 79
Line 197: Depth_3 31 31 79 79 55 55 85 85
Line 198: Depth_4 128 192 132 196 130 194 133 197
Line 199: Depth_3 41 41 45 45 97 97 99 99
Line 200: Depth_3 45 45 55 55 99 99 105 105
Line 201: Depth_4 129 193 130 194 135 199 136 200
Line 202: Depth_3 55 55 85 85 105 105 117 117
Line 203: Depth_4 130 194 133 197 136 200 138 202
Line 204: Depth_5 131 195 134 198 137 201 139 203
Line 205: Depth_3 77 77 1 1 79 79 9 9
Line 206: Depth_3 79 79 9 9 85 85 41 41
Line 207: Depth_4 132 196 155 205 133 197 156 206
Line 208: Depth_3 85 85 41 41 117 117 97 97
Line 209: Depth_4 133 197 156 206 138 202 158 208
Line 210: Depth_5 134 198 157 207 139 203 159 209
Line 211: Depth_3 97 97 99 99 1 1 5 5
Line 212: Depth_3 99 99 105 105 5 5 27 27
Line 213: Depth_4 135 199 136 200 175 211 176 212
Line 214: Depth_3 105 105 117 117 27 27 77 77
Line 215: Depth_4 136 200 138 202 176 212 178 214
Line 216: Depth_5 137 201 139 203 177 213 179 215
Line 217: Depth_3 117 117 97 97 77 77 1 1
Line 218: Depth_4 138 202 158 208 178 214 187 217
Line 219: Depth_5 139 203 159 209 179 215 188 218
Line 220: Depth_6 140 204 160 210 180 216 189 219
Line 221: Depth_3 1 3 1 3 9 11 9 11
Line 222: Depth_3 3 18 3 18 11 22 11 22
Line 223: Depth_3 9 11 9 11 41 43 41 43
Line 224: Depth_3 11 22 11 22 43 50 43 50
Line 225: Depth_4 141 142 221 222 143 144 223 224
Line 226: Depth_3 18 63 18 63 22 65 22 65
Line 227: Depth_3 22 65 22 65 50 71 50 71
Line 228: Depth_4 142 146 222 226 144 147 224 227
Line 229: Depth_3 41 43 41 43 97 98 97 98
Line 230: Depth_3 43 50 43 50 98 102 98 102
Line 231: Depth_4 143 144 223 224 149 150 229 230
Line 232: Depth_3 50 71 50 71 102 111 102 111
Line 233: Depth_4 144 147 224 227 150 152 230 232
Line 234: Depth_5 145 148 225 228 151 153 231 233
Line 235: Depth_3 63 1 63 1 65 9 65 9
Line 236: Depth_3 65 9 65 9 71 41 71 41
Line 237: Depth_4 146 155 226 235 147 156 227 236
Line 238: Depth_3 71 41 71 41 111 97 111 97
Line 239: Depth_4 147 156 227 236 152 158 232 238
Line 240: Depth_5 148 157 228 237 153 159 233 239
Line 241: Depth_3 97 98 97 98 1 3 1 3
Line 242: Depth_3 98 102 98 102 3 18 3 18
Line 243: Depth_4 149 150 229 230 181 182 241 242
Line 244: Depth_3 102 111 102 111 18 63 18 63
Line 245: Depth_4 150 152 230 232 182 184 242 244
Line 246: Depth_5 151 153 231 233 183 185 243 245
Line 247: Depth_3 111 97 111 97 63 1 63 1
Line 248: Depth_4 152 158 232 238 184 187 244 247
Line 249: Depth_5 153 159 233 239 185 188 245 248
Line 250: Depth_6 154 160 234 240 186 189 246 249
Line 251: Depth_3 1 1 1 1 9 9 9 9
Line 252: Depth_3 9 9 9 9 41 41 41 41
Line 253: Depth_4 155 205 235 251 156 206 236 252
Line 254: Depth_3 41 41 41 41 97 97 97 97
Line 255: Depth_4 156 206 236 252 158 208 238 254
Line 256: Depth_5 157 207 237 253 159 209 239 255
Line 257: Depth_3 97 97 97 97 1 1 1 1
Line 258: Depth_4 158 208 238 254 187 217 247 257
Line 259: Depth_5 159 209 239 255 188 218 248 258
Line 260: Depth_6 160 210 240 256 189 219 249 259
Line 261: Depth_3 1 3 5 7 1 3 5 7
Line 262: Depth_3 3 18 7 20 3 18 7 20
Line 263: Depth_3 5 7 27 29 5 7 27 29
Line 264: Depth_3 7 20 29 36 7 20 29 36
Line 265: Depth_4 161 162 163 164 261 262 263 264
Line 266: Depth_3 18 63 20 64 18 63 20 64
Line 267: Depth_3 20 64 36 68 20 64 36 68
Line 268: Depth_4 162 166 164 167 262 266 264 267
Line 269: Depth_3 27 29 77 78 27 29 77 78
Line 270: Depth_3 29 36 78 82 29 36 78 82
Line 271: Depth_4 163 164 169 170 263 264 269 270
Line 272: Depth_3 36 68 82 91 36 68 82 91
Line 273: Depth_4 164 167 170 172 264 267 270 272
Line 274: Depth_5 165 168 171 173 265 268 271 273
Line 275: Depth_3 63 1 64 5 63 1 64 5
Line 276: Depth_3 64 5 68 27 64 5 68 27
Line 277: Depth_4 166 175 167 176 266 275 267 276
Line 278: Depth_3 68 27 91 77 68 27 91 77
Line 279: Depth_4 167 176 172 178 267 276 272 278
Line 280: Depth_5 168 177 173 179 268 277 273 279
Line 281: Depth_3 77 78 1 3 77 78 1 3
Line 282: Depth_3 78 82 3 18 78 82 3 18
Line 283: Depth_4 169 170 181 182 269 270 281 282
Line 284: Depth_3 82 91 18 63 82 91 18 63
Line 285: Depth_4 170 172 182 184 270 272 282 284
Line 286: Depth_5 171 173 183 185 271 273 283 285
Line 287: Depth_3 91 77 63 1 91 77 63 1
Line 288: Depth_4 172 178 184 187 272 278 284 287
Line 289: Depth_5 173 179 185 188 273 279 285 288
Line 290: Depth_6 174 180 186 189 274 280 286 289
Line 291: Depth_3 1 1 5 5 1 1 5 5
Line 292: Depth_3 5 5 27 27 5 5 27 27
Line 293: Depth_4 175 211 176 212 275 291 276 292
Line 294: Depth_3 27 27 77 77 27 27 77 77
Line 295: Depth_4 176 212 178 214 276 292 278 294
Line 296: Depth_5 177 213 179 215 277 293 279 295
Line 297: Depth_3 77 77 1 1 77 77 1 1
Line 298: Depth_4 178 214 187 217 278 294 287 297
Line 299: Depth_5 179 215 188 218 279 295 288 298
Line 300: Depth_6 180 216 189 219 280 296 289 299
Line 301: Depth_3 1 3 1 3 1 3 1 3
Line 302: Depth_3 3 18 3 18 3 18 3 18
Line 303: Depth_4 181 182 241 242 281 282 301 302
Line 304: Depth_3 18 63 18 63 18 63 18 63
Line 305: Depth_4 182 184 242 244 282 284 302 304
Line 306: Depth_5 183 185 243 245 283 285 303 305
Line 307: Depth_3 63 1 63 1 63 1 63 1
Line 308: Depth_4 184 187 244 247 284 287 304 307
Line 309: Depth_5 185 188 245 248 285 288 305 308
Line 310: Depth_6 186 189 246 249 286 289 306 309
Line 311: Depth_3 1 1 1 1 1 1 1 1
Line 312: Depth_4 187 217 247 257 287 297 307 311
Line 313: Depth_5 188 218 248 258 288 298 308 312
Line 314: Depth_6 189 219 249 259 289 299 309 313
Line 315: Depth_7 190 220 250 260 290 300 310 314
Line 316: Depth_4 191 191 192 192 193 193 194 194
Line 317: Depth_4 192 192 196 196 194 194 197 197
Line 318: Depth_4 193 193 194 194 199 199 200 200
Line 319: Depth_4 194 194 197 197 200 200 202 202
Line 320: Depth_5 195 316 198 317 201 318 203 319
Line 321: Depth_4 196 196 205 205 197 197 206 206
Line 322: Depth_4 197 197 206 206 202 202 208 208
Line 323: Depth_5 198 317 207 321 203 319 209 322
Line 324: Depth_4 199 199 200 200 211 211 212 212
Line 325: Depth_4 200 200 202 202 212 212 214 214
Line 326: Depth_5 201 318 203 319 213 324 215 325
Line 327: Depth_4 202 202 208 208 214 214 217 217
Line 328: Depth_5 203 319 209 322 215 325 218 327
Line 329: Depth_6 204 320 210 323 216 326 219 328
Line 330: Depth_4 205 205 251 251 206 206 252 252
Line 331: Depth_4 206 206 252 252 208 208 254 254
Line 332: Depth_5 207 321 253 330 209 322 255 331
Line 333: Depth_4 208 208 254 254 217 217 257 257
Line 334: Depth_5 209 322 255 331 218 327 258 333
Line 335: Depth_6 210 323 256 332 219 328 259 334
Line 336: Depth_4 211 211 212 212 291 291 292 292
Line 337: Depth_4 212 212 214 214 292 292 294 294
Line 338: Depth_5 213 324 215 325 293 336 295 337
Line 339: Depth_4 214 214 217 217 294 294 297 297
Line 340: Depth_5 215 325 218 327 295 337 298 339
Line 341: Depth_6 216 326 219 328 296 338 299 340
Line 342: Depth_4 217 217 257 257 297 297 311 311
Line 343: Depth_5 218 327 258 333 298 339 312 342
Line 344: Depth_6 219 328 259 334 299 340 313 343
Line 345: Depth_7 220 329 260 335 300 341 314 344
Line 346: Depth_4 221 222 221 222 223 224 223 224
Line 347: Depth_4 222 226 222 226 224 227 224 227
Line 348: Depth_4 223 224 223 224 229 230 229 230
Line 349: Depth_4 224 227 224 227 230 232 230 232
Line 350: Depth_5 225 228 346 347 231 233 348 349
Line 351: Depth_4 226 235 226 235 227 236 227 236
Line 352: Depth_4 227 236 227 236 232 238 232 238
Line 353: Depth_5 228 237 347 351 233 239 349 352
Line 354: Depth_4 229 230 229 230 241 242 241 242
Line 355: Depth_4 230 232 230 232 242 244 242 244
Line 356: Depth_5 231 233 348 349 243 245 354 355
Line 357: Depth_4 232 238 232 238 244 247 244 247
Line 358: Depth_5 233 239 349 352 245 248 355 357
Line 359: Depth_6 234 240 350 353 246 249 356 358
Line 360: Depth_4 235 251 235 251 236 252 236 252
Line 361: Depth_4 236 252 236 252 238 254 238 254
Line 362: Depth_5 237 253 351 360 239 255 352 361
Line 363: Depth_4 238 254 238 254 247 257 247 257
Line 364: Depth_5 239 255 352 361 248 258 357 363
Line 365: Depth_6 240 256 353 362 249 259 358 364
Line 366: Depth_4 241 242 241 242 301 302 301 302
Line 367: Depth_4 242 244 242 244 302 304 302 304
Line 368: Depth_5 243 245 354 355 303 305 366 367
Line 369: Depth_4 244 247 244 247 304 307 304 307
Line 370: Depth_5 245 248 355 357 305 308 367 369
Line 371: Depth_6 246 249 356 358 306 309 368 370
Line 372: Depth_4 247 257 247 257 307 311 307 311
Line 373: Depth_5 248 258 357 363 308 312 369 372
Line 374: Depth_6 249 259 358 364 309 313 370 373
Line 375: Depth_7 250 260 359 365 310 314 371 374
Line 376: Depth_4 251 251 251 251 252 252 252 252
Line 377: Depth_4 252 252 252 252 254 254 254 254
Line 378: Depth_5 253 330 360 376 255 331 361 377
Line 379: Depth_4 254 254 254 254 257 257 257 257
Line 380: Depth_5 255 331 361 377 258 333 363 379
Line 381: Depth_6 256 332 362 378 259 334 364 380
Line 382: Depth_4 257 257 257 257 311 311 311 311
Line 383: Depth_5 258 333 363 379 312 342 372 382
Line 384: Depth_6 259 334 364 380 313 343 373 383
Line 385: Depth_7 260 335 365 381 314 344 374 384
Line 386: Depth_4 261 262 263 264 261 262 263 264
Line 387: Depth_4 262 266 264 267 262 266 264 267
Line 388: Depth_4 263 264 269 270 263 264 269 270
Line 389: Depth_4 264 267 270 272 264 267 270 272
Line 390: Depth_5 265 268 271 273 386 387 388 389
Line 391: Depth_4 266 275 267 276 266 275 267 276
Line 392: Depth_4 267 276 272 278 267 276 272 278
Line 393: Depth_5 268 277 273 279 387 391 389 392
Line 394: Depth_4 269 270 281 282 269 270 281 282
Line 395: Depth_4 270 272 282 284 270 272 282 284
Line 396: Depth_5 271 273 283 285 388 389 394 395
Line 397: Depth_4 272 278 284 287 272 278 284 287
Line 398: Depth_5 273 279 285 288 389 392 395 397
Line 399: Depth_6 274 280 286 289 390 393 396 398
Line 400: Depth_4 275 291 276 292 275 291 276 292
Line 401: Depth_4 276 292 278 294 276 292 278 294
Line 402: Depth_5 277 293 279 295 391 400 392 401
Line 403: Depth_4 278 294 287 297 278 294 287 297
Line 404: Depth_5 279 295 288 298 392 401 397 403
Line 405: Depth_6 280 296 289 299 393 402 398 404
Line 406: Depth_4 281 282 301 302 281 282 301 302
Line 407: Depth_4 282 284 302 304 282 284 302 304
Line 408: Depth_5 283 285 303 305 394 395 406 407
Line 409: Depth_4 284 287 304 307 284 287 304 307
Line 410: Depth_5 285 288 305 308 395 397 407 409
Line 411: Depth_6 286 289 306 309 396 398 408 410
Line 412: Depth_4 287 297 307 311 287 297 307 311
Line 413: Depth_5 288 298 308 312 397 403 409 412
Line 414: Depth_6 289 299 309 313 398 404 410 413
Line 415: Depth_7 290 300 310 314 399 405 411 414
Line 416: Depth_4 291 291 292 292 291 291 292 292
Line 417: Depth_4 292 292 294 294 292 292 294 294
Line 418: Depth_5 293 336 295 337 400 416 401 417
Line 419: Depth_4 294 294 297 297 294 294 297 297
Line 420: Depth_5 295 337 298 339 401 417 403 419
Line 421: Depth_6 296 338 299 340 402 418 404 420
Line 422: Depth_4 297 297 311 311 297 297 311 311
Line 423: Depth_5 298 339 312 342 403 419 412 422
Line 424: Depth_6 299 340 313 343 404 420 413 423
Line 425: Depth_7 300 341 314 344 405 421 414 424
Line 426: Depth_4 301 302 301 302 301 302 301 302
Line 427: Depth_4 302 304 302 304 302 304 302 304
Line 428: Depth_5 303 305 366 367 406 407 426 427
Line 429: Depth_4 304 307 304 307 304 307 304 307
Line 430: Depth_5 305 308 367 369 407 409 427 429
Line 431: Depth_6 306 309 368 370 408 410 428 430
Line 432: Depth_4 307 311 307 311 307 311 307 311
Line 433: Depth_5 308 312 369 372 409 412 429 432
Line 434: Depth_6 309 313 370 373 410 413 430 433
Line 435: Depth_7 310 314 371 374 411 414 431 434
Line 436: Depth_4 311 311 311 311 311 311 311 311
Line 437: Depth_5 312 342 372 382 412 422 432 436
Line 438: Depth_6 313 343 373 383 413 423 433 437
Line 439: Depth_7 314 344 374 384 414 424 434 438
Line 440: Depth_8 315 345 375 385 415 425 435 439
Line 441: Depth_5 316 316 317 317 318 318 319 319
Line 442: Depth_5 317 317 321 321 319 319 322 322
Line 443: Depth_5 318 318 319 319 324 324 325 325
Line 444: Depth_5 319 319 322 322 325 325 327 327
Line 445: Depth_6 320 441 323 442 326 443 328 444
Line 446: Depth_5 321 321 330 330 322 322 331 331
Line 447: Depth_5 322 322 331 331 327 327 333 333
Line 448: Depth_6 323 442 332 446 328 444 334 447
Line 449: Depth_5 324 324 325 325 336 336 337 337
Line 450: Depth_5 325 325 327 327 337 337 339 339
Line 451: Depth_6 326 443 328 444 338 449 340 450
Line 452: Depth_5 327 327 333 333 339 339 342 342
Line 453: Depth_6 328 444 334 447 340 450 343 452
Line 454: Depth_7 329 445 335 448 341 451 344 453
Line 455: Depth_5 330 330 376 376 331 331 377 377
Line 456: Depth_5 331 331 377 377 333 333 379 379
Line 457: Depth_6 332 446 378 455 334 447 380 456
Line 458: Depth_5 333 333 379 379 342 342 382 382
Line 459: Depth_6 334 447 380 456 343 452 383 458
Line 460: Depth_7 335 448 381 457 344 453 384 459
Line 461: Depth_5 336 336 337 337 416 416 417 417
Line 462: Depth_5 337 337 339 339 417 417 419 419
Line 463: Depth_6 338 449 340 450 418 461 420 462
Line 464: Depth_5 339 339 342 342 419 419 422 422
Line 465: Depth_6 340 450 343 452 420 462 423 464
Line 466: Depth_7 341 451 344 453 421 463 424 465
Line 467: Depth_5 342 342 382 382 422 422 436 436
Line 468: Depth_6 343 452 383 458 423 464 437 467
Line 469: Depth_7 344 453 384 459 424 465 438 468
Line 470: Depth_8 345 454 385 460 425 466 439 469
Line 471: Depth_5 346 347 346 347 348 349 348 349
Line 472: Depth_5 347 351 347 351 349 352 349 352
Line 473: Depth_5 348 349 348 349 354 355 354 355
Line 474: Depth_5 349 352 349 352 355 357 355 357
Line 475: Depth_6 350 353 471 472 356 358 473 474
Line 476: Depth_5 351 360 351 360 352 361 352 361
Line 477: Depth_5 352 361 352 361 357 363 357 363
Line 478: Depth_6 353 362 472 476 358 364 474 477
Line 479: Depth_5 354 355 354 355 366 367 366 367
Line 480: Depth_5 355 357 355 357 367 369 367 369
Line 481: Depth_6 356 358 473 474 368 370 479 480
Line 482: Depth_5 357 363 357 363 369 372 369 372
Line 483: Depth_6 358 364 474 477 370 373 480 482
Line 484: Depth_7 359 365 475 478 371 374 481 483
Line 485: Depth_5 360 376 360 376 361 377 361 377
Line 486: Depth_5 361 377 361 377 363 379 363 379
Line 487: Depth_6 362 378 476 485 364 380 477 486
Line 488: Depth_5 363 379 363 379 372 382 372 382
Line 489: Depth_6 364 380 477 486 373 383 482 488
Line 490: Depth_7 365 381 478 487 374 384 483 489
Line 491: Depth_5 366 367 366 367 426 427 426 427
Line 492: Depth_5 367 369 367 369 427 429 427 429
Line 493: Depth_6 368 370 479 480 428 430 491 492
Line 494: Depth_5 369 372 369 372 429 432 429 432
Line 495: Depth_6 370 373 480 482 430 433 492 494
Line 496: Depth_7 371 374 481 483 431 434 493 495
Line 497: Depth_5 372 382 372 382 432 436 432 436
Line 498: Depth_6 373 383 482 488 433 437 494 497
Line 499: Depth_7 374 384 483 489 434 438 495 498
Line 500: Depth_8 375 385 484 490 435 439 496 499
Line 501: Depth_5 376 376 376 376 377 377 377 377
Line 502: Depth_5 377 377 377 377 379 379 379 379
Line 503: Depth_6 378 455 485 501 380 456 486 502
Line 504: Depth_5 379 379 379 379 382 382 382 382
Line 505: Depth_6 380 456 486 502 383 458 488 504
Line 506: Depth_7 381 457 487 503 384 459 489 505
Line 507: Depth_5 382 382 382 382 436 436 436 436
Line 508: Depth_6 383 458 488 504 437 467 497 507
Line 509: Depth_7 384 459 489 505 438 468 498 508
Line 510: Depth_8 385 460 490 506 439 469 499 509
Line 511: Depth_5 386 387 388 389 386 387 388 389
Line 512: Depth_5 387 391 389 392 387 391 389 392
Line 513: Depth_5 388 389 394 395 388 389 394 395
Line 514: Depth_5 389 392 395 397 389 392 395 397
Line 515: Depth_6 390 393 396 398 511 512 513 514
Line 516: Depth_5 391 400 392 401 391 400 392 401
Line 517: Depth_5 392 401 397 403 392 401 397 403
Line 518: Depth_6 393 402 398 404 512 516 514 517
Line 519: Depth_5 394 395 406 407 394 395 406 407
Line 520: Depth_5 395 397 407 409 395 397 407 409
Line 521: Depth_6 396 398 408 410 513 514 519 520
Line 522: Depth_5 397 403 409 412 397 403 409 412
Line 523: Depth_6 398 404 410 413 514 517 520 522
Line 524: Depth_7 399 405 411 414 515 518 521 523
Line 525: Depth_5 400 416 401 417 400 416 401 417
Line 526: Depth_5 401 417 403 419 401 417 403 419
Line 527: Depth_6 402 418 404 420 516 525 517 526
Line 528: Depth_5 403 419 412 422 403 419 412 422
Line 529: Depth_6 404 420 413 423 517 526 522 528
Line 530: Depth_7 405 421 414 424 518 527 523 529
Line 531: Depth_5 406 407 426 427 406 407 426 427
Line 532: Depth_5 407 409 427 429 407 409 427 429
Line 533: Depth_6 408 410 428 430 519 520 531 532
Line 534: Depth_5 409 412 429 432 409 412 429 432
Line 535: Depth_6 410 413 430 433 520 522 532 534
Line 536: Depth_7 411 414 431 434 521 523 533 535
Line 537: Depth_5 412 422 432 436 412 422 432 436
Line 538: Depth_6 413 423 433 437 522 528 534 537
Line 539: Depth_7 414 424 434 438 523 529 535 538
Line 540: Depth_8 415 425 435 439 524 530 536 539
Line 541: Depth_5 416 416 417 417 416 416 417 417
Line 542: Depth_5 417 417 419 419 417 417 419 419
Line 543: Depth_6 418 461 420 462 525 541 526 542
Line 544: Depth_5 419 419 422 422 419 419 422 422
Line 545: Depth_6 420 462 423 464 526 542 528 544
Line 546: Depth_7 421 463 424 465 527 543 529 545
Line 547: Depth_5 422 422 436 436 422 422 436 436
Line 548: Depth_6 423 464 437 467 528 544 537 547
Line 549: Depth_7 424 465 438 468 529 545 538 548
Line 550: Depth_8 425 466 439 469 530 546 539 549
Line 551: Depth_5 426 427 426 427 426 427 426 427
Line 552: Depth_5 427 429 427 429 427 429 427 429
Line 553: Depth_6 428 430 491 492 531 532 551 552
Line 554: Depth_5 429 432 429 432 429 432 429 432
Line 555: Depth_6 430 433 492 494 532 534 552 554
Line 556: Depth_7 431 434 493 495 533 535 553 555
Line 557: Depth_5 432 436 432 436 432 436 432 436
Line 558: Depth_6 433 437 494 497 534 537 554 557
Line 559: Depth_7 434 438 495 498 535 538 555 558
Line 560: Depth_8 435 439 496 499 536 539 556 559
Line 561: Depth_5 436 436 436 436 436 436 436 436
Line 562: Depth_6 437 467 497 507 537 547 557 561
Line 563: Depth_7 438 468 498 508 538 548 558 562
Line 564: Depth_8 439 469 499 509 539 549 559 563

#Here's the root node, way down at the bottom, the only Depth 9 node:
Line 565: Depth_9 440 470 500 510 540 550 560 564
``````

EvinZL
Posts: 367
Joined: November 8th, 2018, 4:15 pm
Location: What is "location"?

Yes, the naïve method takes time O(n*512^n) because the function takes linearly increasing time to run. I think it should be possible to take advantage of special features of the rule such as permutation symmetry to reduce the run time by generating multiple nodes at once. More minor improvements could be like involving bitwise operators to speed up the transition function.

Code: Select all

``````x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A\$3A7.3A15.3A15.3A7.3A\$.2A7.2A15.A3.A15.2A7.2A\$26.A5.A
\$26.A5.A\$26.3A.3A2\$26.3A.3A\$26.A5.A\$26.A5.A\$27.A3.A\$28.3A!
``````

dvgrn
Moderator
Posts: 7587
Joined: May 17th, 2009, 11:00 pm
Contact:

EvinZL wrote:
May 17th, 2020, 10:52 am
Yes, the naïve method takes time O(n*512^n) because the function takes linearly increasing time to run. I think it should be possible to take advantage of special features of the rule such as permutation symmetry to reduce the run time by generating multiple nodes at once. More minor improvements could be like involving bitwise operators to speed up the transition function.
You said on Discord that you were running a QuadrupleB3S23 compilation. Did you give up on that, or is it still running?

It seems like it wouldn't be impossible to put together some code to write the rule tree directly, starting from the root node, and taking advantage of everything we know about these overlapping-universe rules -- instead of naïve-experimentally by treating the transition function as a black box and asking it all possible questions. We know what the transition function for QuadrupleB3S23 is, and it clearly allows the rule-tree representation to take a lot of shortcuts -- a lot more than are possible with the rule-table representation, unless I'm missing some tricks there as well.

Is it a reasonable guess that QuadrupleB3S23 might only need about 2500 rule-tree nodes? DoubleB3S23 apparently needs 130 nodes, TripleB3S23 needs 565. At that rate of increase, even OctupleB3S23 might only be about a ten-megabyte file -- if we had an efficient way of generating it.

But I'm not sure that that factor-of-4.3 rate of increase would really hold, of course. Rule trees are somewhat mysterious to me, still. There are some fairly short rule tables that seem to translate into immensely large rule trees, like the Shapeloop and WWEJ3 rules. And it appears that the reverse is also true in some cases.

GUYTU6J
Posts: 1266
Joined: August 5th, 2016, 10:27 am
Location: 拆哪！I repeat, CHINA! (a.k.a. 种花家)
Contact:

I and toroidalet put together a rule last year in the sandbox, attempting to generate an aperiodic tiling with a set of 11-tile 4-color Wangtile taken from Wikipedia. So far the progress is: (I deliberately changed the rule name; don't add anything to Lifewiki Rule namespace before any actual progress!)
toroidalet wrote:
December 26th, 2019, 2:07 am
GUYTU6J wrote:
December 25th, 2019, 4:06 am
I thought about adding transition rules so that mismatched tiles die out, but since the tiling is anisotropic there would be a vast amount of 4¹² rules.
Never underestimate the power of variables:

Code: Select all

``````@RULE Wangtile_11tile4color_death_v1
@TABLE
n_states:12
neighborhood:vonNeumann
symmetries:none
var reddown={0,1,4,6,11}
var redup={0,1,3,7,11}
var redleft={0,8,9,10}
var redright={0,1,2,9}
var bluedown={0,2,7,8,10}
var blueup={0,2,5,8,9}
var blueleft={0,4,5}
var blueright={0,4,5}
var greendown={0,3}
var greenup={0,10}
var greenleft={0,1,2,3,11}
var greenright={0,3,7,10}
var yellowdown={0,5,9}
var yellowup={0,4,6}
var yellowleft={0,6,7}
var yellowright={0,6,8,11}
var all1={1,2,3,4,5,6,7,8,9,10,11}
var all2=all1
var all3=all1
var all4=all1
var all5=all1
1,reddown,redleft,redup,greenright,1
2,bluedown,redleft,blueup,greenright,2
3,reddown,greenleft,greenup,greenright,3
4,yellowdown,blueleft,redup,blueright,4
5,bluedown,blueleft,yellowup,blueright,5
6,yellowdown,yellowleft,redup,yellowright,6
7,reddown,greenleft,blueup,yellowright,7
8,bluedown,yellowleft,blueup,redright,8
9,bluedown,redleft,yellowup,redright,9
10,greendown,greenleft,blueup,redright,10
11,reddown,yellowleft,redup,greenright,11
all1,all2,all3,all4,all5,0
@ICONS
XPM
/* width height num_colors chars_per_pixel */
"31 341 5 1"
/* colors */
". c #000000"
"R c #FF0000"
"Y c #FFF200"
"B c #0000FF"
"G c #00FF00"
/* icon for state 1 */
".RRRRRRRRRRRRRRRRRRRRRRRRRRRRR."
"G.RRRRRRRRRRRRRRRRRRRRRRRRRRR.R"
"GG.RRRRRRRRRRRRRRRRRRRRRRRRR.RR"
"GGG.RRRRRRRRRRRRRRRRRRRRRRR.RRR"
"GGGG.RRRRRRRRRRRRRRRRRRRRR.RRRR"
"GGGGG.RRRRRRRRRRRRRRRRRRR.RRRRR"
"GGGGGG.RRRRRRRRRRRRRRRRR.RRRRRR"
"GGGGGGG.RRRRRRRRRRRRRRR.RRRRRRR"
"GGGGGGGG.RRRRRRRRRRRRR.RRRRRRRR"
"GGGGGGGGG.RRRRRRRRRRR.RRRRRRRRR"
"GGGGGGGGGG.RRRRRRRRR.RRRRRRRRRR"
"GGGGGGGGGGG.RRRRRRR.RRRRRRRRRRR"
"GGGGGGGGGGGG.RRRRR.RRRRRRRRRRRR"
"GGGGGGGGGGGGG.RRR.RRRRRRRRRRRRR"
"GGGGGGGGGGGGGG.R.RRRRRRRRRRRRRR"
"GGGGGGGGGGGGGGG.RRRRRRRRRRRRRRR"
"GGGGGGGGGGGGGG.R.RRRRRRRRRRRRRR"
"GGGGGGGGGGGGG.RRR.RRRRRRRRRRRRR"
"GGGGGGGGGGGG.RRRRR.RRRRRRRRRRRR"
"GGGGGGGGGGG.RRRRRRR.RRRRRRRRRRR"
"GGGGGGGGGG.RRRRRRRRR.RRRRRRRRRR"
"GGGGGGGGG.RRRRRRRRRRR.RRRRRRRRR"
"GGGGGGGG.RRRRRRRRRRRRR.RRRRRRRR"
"GGGGGGG.RRRRRRRRRRRRRRR.RRRRRRR"
"GGGGGG.RRRRRRRRRRRRRRRRR.RRRRRR"
"GGGGG.RRRRRRRRRRRRRRRRRRR.RRRRR"
"GGGG.RRRRRRRRRRRRRRRRRRRRR.RRRR"
"GGG.RRRRRRRRRRRRRRRRRRRRRRR.RRR"
"GG.RRRRRRRRRRRRRRRRRRRRRRRRR.RR"
"G.RRRRRRRRRRRRRRRRRRRRRRRRRRR.R"
".RRRRRRRRRRRRRRRRRRRRRRRRRRRRR."
/* icon for state 2 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"G.BBBBBBBBBBBBBBBBBBBBBBBBBBB.R"
"GG.BBBBBBBBBBBBBBBBBBBBBBBBB.RR"
"GGG.BBBBBBBBBBBBBBBBBBBBBBB.RRR"
"GGGG.BBBBBBBBBBBBBBBBBBBBB.RRRR"
"GGGGG.BBBBBBBBBBBBBBBBBBB.RRRRR"
"GGGGGG.BBBBBBBBBBBBBBBBB.RRRRRR"
"GGGGGGG.BBBBBBBBBBBBBBB.RRRRRRR"
"GGGGGGGG.BBBBBBBBBBBBB.RRRRRRRR"
"GGGGGGGGG.BBBBBBBBBBB.RRRRRRRRR"
"GGGGGGGGGG.BBBBBBBBB.RRRRRRRRRR"
"GGGGGGGGGGG.BBBBBBB.RRRRRRRRRRR"
"GGGGGGGGGGGG.BBBBB.RRRRRRRRRRRR"
"GGGGGGGGGGGGG.BBB.RRRRRRRRRRRRR"
"GGGGGGGGGGGGGG.B.RRRRRRRRRRRRRR"
"GGGGGGGGGGGGGGG.RRRRRRRRRRRRRRR"
"GGGGGGGGGGGGGG.B.RRRRRRRRRRRRRR"
"GGGGGGGGGGGGG.BBB.RRRRRRRRRRRRR"
"GGGGGGGGGGGG.BBBBB.RRRRRRRRRRRR"
"GGGGGGGGGGG.BBBBBBB.RRRRRRRRRRR"
"GGGGGGGGGG.BBBBBBBBB.RRRRRRRRRR"
"GGGGGGGGG.BBBBBBBBBBB.RRRRRRRRR"
"GGGGGGGG.BBBBBBBBBBBBB.RRRRRRRR"
"GGGGGGG.BBBBBBBBBBBBBBB.RRRRRRR"
"GGGGGG.BBBBBBBBBBBBBBBBB.RRRRRR"
"GGGGG.BBBBBBBBBBBBBBBBBBB.RRRRR"
"GGGG.BBBBBBBBBBBBBBBBBBBBB.RRRR"
"GGG.BBBBBBBBBBBBBBBBBBBBBBB.RRR"
"GG.BBBBBBBBBBBBBBBBBBBBBBBBB.RR"
"G.BBBBBBBBBBBBBBBBBBBBBBBBBBB.R"
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 3 */
".RRRRRRRRRRRRRRRRRRRRRRRRRRRRR."
"G.RRRRRRRRRRRRRRRRRRRRRRRRRRR.G"
"GG.RRRRRRRRRRRRRRRRRRRRRRRRR.GG"
"GGG.RRRRRRRRRRRRRRRRRRRRRRR.GGG"
"GGGG.RRRRRRRRRRRRRRRRRRRRR.GGGG"
"GGGGG.RRRRRRRRRRRRRRRRRRR.GGGGG"
"GGGGGG.RRRRRRRRRRRRRRRRR.GGGGGG"
"GGGGGGG.RRRRRRRRRRRRRRR.GGGGGGG"
"GGGGGGGG.RRRRRRRRRRRRR.GGGGGGGG"
"GGGGGGGGG.RRRRRRRRRRR.GGGGGGGGG"
"GGGGGGGGGG.RRRRRRRRR.GGGGGGGGGG"
"GGGGGGGGGGG.RRRRRRR.GGGGGGGGGGG"
"GGGGGGGGGGGG.RRRRR.GGGGGGGGGGGG"
"GGGGGGGGGGGGG.RRR.GGGGGGGGGGGGG"
"GGGGGGGGGGGGGG.R.GGGGGGGGGGGGGG"
"GGGGGGGGGGGGGGG.GGGGGGGGGGGGGGG"
"GGGGGGGGGGGGGG.G.GGGGGGGGGGGGGG"
"GGGGGGGGGGGGG.GGG.GGGGGGGGGGGGG"
"GGGGGGGGGGGG.GGGGG.GGGGGGGGGGGG"
"GGGGGGGGGGG.GGGGGGG.GGGGGGGGGGG"
"GGGGGGGGGG.GGGGGGGGG.GGGGGGGGGG"
"GGGGGGGGG.GGGGGGGGGGG.GGGGGGGGG"
"GGGGGGGG.GGGGGGGGGGGGG.GGGGGGGG"
"GGGGGGG.GGGGGGGGGGGGGGG.GGGGGGG"
"GGGGGG.GGGGGGGGGGGGGGGGG.GGGGGG"
"GGGGG.GGGGGGGGGGGGGGGGGGG.GGGGG"
"GGGG.GGGGGGGGGGGGGGGGGGGGG.GGGG"
"GGG.GGGGGGGGGGGGGGGGGGGGGGG.GGG"
"GG.GGGGGGGGGGGGGGGGGGGGGGGGG.GG"
"G.GGGGGGGGGGGGGGGGGGGGGGGGGGG.G"
".GGGGGGGGGGGGGGGGGGGGGGGGGGGGG."
/* icon for state 4 */
".YYYYYYYYYYYYYYYYYYYYYYYYYYYYY."
"B.YYYYYYYYYYYYYYYYYYYYYYYYYYY.B"
"BB.YYYYYYYYYYYYYYYYYYYYYYYYY.BB"
"BBB.YYYYYYYYYYYYYYYYYYYYYYY.BBB"
"BBBB.YYYYYYYYYYYYYYYYYYYYY.BBBB"
"BBBBB.YYYYYYYYYYYYYYYYYYY.BBBBB"
"BBBBBB.YYYYYYYYYYYYYYYYY.BBBBBB"
"BBBBBBB.YYYYYYYYYYYYYYY.BBBBBBB"
"BBBBBBBB.YYYYYYYYYYYYY.BBBBBBBB"
"BBBBBBBBB.YYYYYYYYYYY.BBBBBBBBB"
"BBBBBBBBBB.YYYYYYYYY.BBBBBBBBBB"
"BBBBBBBBBBB.YYYYYYY.BBBBBBBBBBB"
"BBBBBBBBBBBB.YYYYY.BBBBBBBBBBBB"
"BBBBBBBBBBBBB.YYY.BBBBBBBBBBBBB"
"BBBBBBBBBBBBBB.Y.BBBBBBBBBBBBBB"
"BBBBBBBBBBBBBBB.BBBBBBBBBBBBBBB"
"BBBBBBBBBBBBBB.R.BBBBBBBBBBBBBB"
"BBBBBBBBBBBBB.RRR.BBBBBBBBBBBBB"
"BBBBBBBBBBBB.RRRRR.BBBBBBBBBBBB"
"BBBBBBBBBBB.RRRRRRR.BBBBBBBBBBB"
"BBBBBBBBBB.RRRRRRRRR.BBBBBBBBBB"
"BBBBBBBBB.RRRRRRRRRRR.BBBBBBBBB"
"BBBBBBBB.RRRRRRRRRRRRR.BBBBBBBB"
"BBBBBBB.RRRRRRRRRRRRRRR.BBBBBBB"
"BBBBBB.RRRRRRRRRRRRRRRRR.BBBBBB"
"BBBBB.RRRRRRRRRRRRRRRRRRR.BBBBB"
"BBBB.RRRRRRRRRRRRRRRRRRRRR.BBBB"
"BBB.RRRRRRRRRRRRRRRRRRRRRRR.BBB"
"BB.RRRRRRRRRRRRRRRRRRRRRRRRR.BB"
"B.RRRRRRRRRRRRRRRRRRRRRRRRRRR.B"
".RRRRRRRRRRRRRRRRRRRRRRRRRRRRR."
/* icon for state 5 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"B.BBBBBBBBBBBBBBBBBBBBBBBBBBB.B"
"BB.BBBBBBBBBBBBBBBBBBBBBBBBB.BB"
"BBB.BBBBBBBBBBBBBBBBBBBBBBB.BBB"
"BBBB.BBBBBBBBBBBBBBBBBBBBB.BBBB"
"BBBBB.BBBBBBBBBBBBBBBBBBB.BBBBB"
"BBBBBB.BBBBBBBBBBBBBBBBB.BBBBBB"
"BBBBBBB.BBBBBBBBBBBBBBB.BBBBBBB"
"BBBBBBBB.BBBBBBBBBBBBB.BBBBBBBB"
"BBBBBBBBB.BBBBBBBBBBB.BBBBBBBBB"
"BBBBBBBBBB.BBBBBBBBB.BBBBBBBBBB"
"BBBBBBBBBBB.BBBBBBB.BBBBBBBBBBB"
"BBBBBBBBBBBB.BBBBB.BBBBBBBBBBBB"
"BBBBBBBBBBBBB.BBB.BBBBBBBBBBBBB"
"BBBBBBBBBBBBBB.B.BBBBBBBBBBBBBB"
"BBBBBBBBBBBBBBB.BBBBBBBBBBBBBBB"
"BBBBBBBBBBBBBB.Y.BBBBBBBBBBBBBB"
"BBBBBBBBBBBBB.YYY.BBBBBBBBBBBBB"
"BBBBBBBBBBBB.YYYYY.BBBBBBBBBBBB"
"BBBBBBBBBBB.YYYYYYY.BBBBBBBBBBB"
"BBBBBBBBBB.YYYYYYYYY.BBBBBBBBBB"
"BBBBBBBBB.YYYYYYYYYYY.BBBBBBBBB"
"BBBBBBBB.YYYYYYYYYYYYY.BBBBBBBB"
"BBBBBBB.YYYYYYYYYYYYYYY.BBBBBBB"
"BBBBBB.YYYYYYYYYYYYYYYYY.BBBBBB"
"BBBBB.YYYYYYYYYYYYYYYYYYY.BBBBB"
"BBBB.YYYYYYYYYYYYYYYYYYYYY.BBBB"
"BBB.YYYYYYYYYYYYYYYYYYYYYYY.BBB"
"BB.YYYYYYYYYYYYYYYYYYYYYYYYY.BB"
"B.YYYYYYYYYYYYYYYYYYYYYYYYYYY.B"
".YYYYYYYYYYYYYYYYYYYYYYYYYYYYY."
/* icon for state 6 */
".YYYYYYYYYYYYYYYYYYYYYYYYYYYYY."
"Y.YYYYYYYYYYYYYYYYYYYYYYYYYYY.Y"
"YY.YYYYYYYYYYYYYYYYYYYYYYYYY.YY"
"YYY.YYYYYYYYYYYYYYYYYYYYYYY.YYY"
"YYYY.YYYYYYYYYYYYYYYYYYYYY.YYYY"
"YYYYY.YYYYYYYYYYYYYYYYYYY.YYYYY"
"YYYYYY.YYYYYYYYYYYYYYYYY.YYYYYY"
"YYYYYYY.YYYYYYYYYYYYYYY.YYYYYYY"
"YYYYYYYY.YYYYYYYYYYYYY.YYYYYYYY"
"YYYYYYYYY.YYYYYYYYYYY.YYYYYYYYY"
"YYYYYYYYYY.YYYYYYYYY.YYYYYYYYYY"
"YYYYYYYYYYY.YYYYYYY.YYYYYYYYYYY"
"YYYYYYYYYYYY.YYYYY.YYYYYYYYYYYY"
"YYYYYYYYYYYYY.YYY.YYYYYYYYYYYYY"
"YYYYYYYYYYYYYY.Y.YYYYYYYYYYYYYY"
"YYYYYYYYYYYYYYY.YYYYYYYYYYYYYYY"
"YYYYYYYYYYYYYY.R.YYYYYYYYYYYYYY"
"YYYYYYYYYYYYY.RRR.YYYYYYYYYYYYY"
"YYYYYYYYYYYY.RRRRR.YYYYYYYYYYYY"
"YYYYYYYYYYY.RRRRRRR.YYYYYYYYYYY"
"YYYYYYYYYY.RRRRRRRRR.YYYYYYYYYY"
"YYYYYYYYY.RRRRRRRRRRR.YYYYYYYYY"
"YYYYYYYY.RRRRRRRRRRRRR.YYYYYYYY"
"YYYYYYY.RRRRRRRRRRRRRRR.YYYYYYY"
"YYYYYY.RRRRRRRRRRRRRRRRR.YYYYYY"
"YYYYY.RRRRRRRRRRRRRRRRRRR.YYYYY"
"YYYY.RRRRRRRRRRRRRRRRRRRRR.YYYY"
"YYY.RRRRRRRRRRRRRRRRRRRRRRR.YYY"
"YY.RRRRRRRRRRRRRRRRRRRRRRRRR.YY"
"Y.RRRRRRRRRRRRRRRRRRRRRRRRRRR.Y"
".RRRRRRRRRRRRRRRRRRRRRRRRRRRRR."
/* icon for state 7 */
".RRRRRRRRRRRRRRRRRRRRRRRRRRRRR."
"Y.RRRRRRRRRRRRRRRRRRRRRRRRRRR.G"
"YY.RRRRRRRRRRRRRRRRRRRRRRRRR.GG"
"YYY.RRRRRRRRRRRRRRRRRRRRRRR.GGG"
"YYYY.RRRRRRRRRRRRRRRRRRRRR.GGGG"
"YYYYY.RRRRRRRRRRRRRRRRRRR.GGGGG"
"YYYYYY.RRRRRRRRRRRRRRRRR.GGGGGG"
"YYYYYYY.RRRRRRRRRRRRRRR.GGGGGGG"
"YYYYYYYY.RRRRRRRRRRRRR.GGGGGGGG"
"YYYYYYYYY.RRRRRRRRRRR.GGGGGGGGG"
"YYYYYYYYYY.RRRRRRRRR.GGGGGGGGGG"
"YYYYYYYYYYY.RRRRRRR.GGGGGGGGGGG"
"YYYYYYYYYYYY.RRRRR.GGGGGGGGGGGG"
"YYYYYYYYYYYYY.RRR.GGGGGGGGGGGGG"
"YYYYYYYYYYYYYY.R.GGGGGGGGGGGGGG"
"YYYYYYYYYYYYYYY.GGGGGGGGGGGGGGG"
"YYYYYYYYYYYYYY.B.GGGGGGGGGGGGGG"
"YYYYYYYYYYYYY.BBB.GGGGGGGGGGGGG"
"YYYYYYYYYYYY.BBBBB.GGGGGGGGGGGG"
"YYYYYYYYYYY.BBBBBBB.GGGGGGGGGGG"
"YYYYYYYYYY.BBBBBBBBB.GGGGGGGGGG"
"YYYYYYYYY.BBBBBBBBBBB.GGGGGGGGG"
"YYYYYYYY.BBBBBBBBBBBBB.GGGGGGGG"
"YYYYYYY.BBBBBBBBBBBBBBB.GGGGGGG"
"YYYYYY.BBBBBBBBBBBBBBBBB.GGGGGG"
"YYYYY.BBBBBBBBBBBBBBBBBBB.GGGGG"
"YYYY.BBBBBBBBBBBBBBBBBBBBB.GGGG"
"YYY.BBBBBBBBBBBBBBBBBBBBBBB.GGG"
"YY.BBBBBBBBBBBBBBBBBBBBBBBBB.GG"
"Y.BBBBBBBBBBBBBBBBBBBBBBBBBBB.G"
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 8 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"R.BBBBBBBBBBBBBBBBBBBBBBBBBBB.Y"
"RR.BBBBBBBBBBBBBBBBBBBBBBBBB.YY"
"RRR.BBBBBBBBBBBBBBBBBBBBBBB.YYY"
"RRRR.BBBBBBBBBBBBBBBBBBBBB.YYYY"
"RRRRR.BBBBBBBBBBBBBBBBBBB.YYYYY"
"RRRRRR.BBBBBBBBBBBBBBBBB.YYYYYY"
"RRRRRRR.BBBBBBBBBBBBBBB.YYYYYYY"
"RRRRRRRR.BBBBBBBBBBBBB.YYYYYYYY"
"RRRRRRRRR.BBBBBBBBBBB.YYYYYYYYY"
"RRRRRRRRRR.BBBBBBBBB.YYYYYYYYYY"
"RRRRRRRRRRR.BBBBBBB.YYYYYYYYYYY"
"RRRRRRRRRRRR.BBBBB.YYYYYYYYYYYY"
"RRRRRRRRRRRRR.BBB.YYYYYYYYYYYYY"
"RRRRRRRRRRRRRR.B.YYYYYYYYYYYYYY"
"RRRRRRRRRRRRRRR.YYYYYYYYYYYYYYY"
"RRRRRRRRRRRRRR.B.YYYYYYYYYYYYYY"
"RRRRRRRRRRRRR.BBB.YYYYYYYYYYYYY"
"RRRRRRRRRRRR.BBBBB.YYYYYYYYYYYY"
"RRRRRRRRRRR.BBBBBBB.YYYYYYYYYYY"
"RRRRRRRRRR.BBBBBBBBB.YYYYYYYYYY"
"RRRRRRRRR.BBBBBBBBBBB.YYYYYYYYY"
"RRRRRRRR.BBBBBBBBBBBBB.YYYYYYYY"
"RRRRRRR.BBBBBBBBBBBBBBB.YYYYYYY"
"RRRRRR.BBBBBBBBBBBBBBBBB.YYYYYY"
"RRRRR.BBBBBBBBBBBBBBBBBBB.YYYYY"
"RRRR.BBBBBBBBBBBBBBBBBBBBB.YYYY"
"RRR.BBBBBBBBBBBBBBBBBBBBBBB.YYY"
"RR.BBBBBBBBBBBBBBBBBBBBBBBBB.YY"
"R.BBBBBBBBBBBBBBBBBBBBBBBBBBB.Y"
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 9 */
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
"R.BBBBBBBBBBBBBBBBBBBBBBBBBBB.R"
"RR.BBBBBBBBBBBBBBBBBBBBBBBBB.RR"
"RRR.BBBBBBBBBBBBBBBBBBBBBBB.RRR"
"RRRR.BBBBBBBBBBBBBBBBBBBBB.RRRR"
"RRRRR.BBBBBBBBBBBBBBBBBBB.RRRRR"
"RRRRRR.BBBBBBBBBBBBBBBBB.RRRRRR"
"RRRRRRR.BBBBBBBBBBBBBBB.RRRRRRR"
"RRRRRRRR.BBBBBBBBBBBBB.RRRRRRRR"
"RRRRRRRRR.BBBBBBBBBBB.RRRRRRRRR"
"RRRRRRRRRR.BBBBBBBBB.RRRRRRRRRR"
"RRRRRRRRRRR.BBBBBBB.RRRRRRRRRRR"
"RRRRRRRRRRRR.BBBBB.RRRRRRRRRRRR"
"RRRRRRRRRRRRR.BBB.RRRRRRRRRRRRR"
"RRRRRRRRRRRRRR.B.RRRRRRRRRRRRRR"
"RRRRRRRRRRRRRRR.RRRRRRRRRRRRRRR"
"RRRRRRRRRRRRRR.Y.RRRRRRRRRRRRRR"
"RRRRRRRRRRRRR.YYY.RRRRRRRRRRRRR"
"RRRRRRRRRRRR.YYYYY.RRRRRRRRRRRR"
"RRRRRRRRRRR.YYYYYYY.RRRRRRRRRRR"
"RRRRRRRRRR.YYYYYYYYY.RRRRRRRRRR"
"RRRRRRRRR.YYYYYYYYYYY.RRRRRRRRR"
"RRRRRRRR.YYYYYYYYYYYYY.RRRRRRRR"
"RRRRRRR.YYYYYYYYYYYYYYY.RRRRRRR"
"RRRRRR.YYYYYYYYYYYYYYYYY.RRRRRR"
"RRRRR.YYYYYYYYYYYYYYYYYYY.RRRRR"
"RRRR.YYYYYYYYYYYYYYYYYYYYY.RRRR"
"RRR.YYYYYYYYYYYYYYYYYYYYYYY.RRR"
"RR.YYYYYYYYYYYYYYYYYYYYYYYYY.RR"
"R.YYYYYYYYYYYYYYYYYYYYYYYYYYY.R"
".YYYYYYYYYYYYYYYYYYYYYYYYYYYYY."
/* icon for state 10 */
".GGGGGGGGGGGGGGGGGGGGGGGGGGGGG."
"R.GGGGGGGGGGGGGGGGGGGGGGGGGGG.G"
"RR.GGGGGGGGGGGGGGGGGGGGGGGGG.GG"
"RRR.GGGGGGGGGGGGGGGGGGGGGGG.GGG"
"RRRR.GGGGGGGGGGGGGGGGGGGGG.GGGG"
"RRRRR.GGGGGGGGGGGGGGGGGGG.GGGGG"
"RRRRRR.GGGGGGGGGGGGGGGGG.GGGGGG"
"RRRRRRR.GGGGGGGGGGGGGGG.GGGGGGG"
"RRRRRRRR.GGGGGGGGGGGGG.GGGGGGGG"
"RRRRRRRRR.GGGGGGGGGGG.GGGGGGGGG"
"RRRRRRRRRR.GGGGGGGGG.GGGGGGGGGG"
"RRRRRRRRRRR.GGGGGGG.GGGGGGGGGGG"
"RRRRRRRRRRRR.GGGGG.GGGGGGGGGGGG"
"RRRRRRRRRRRRR.GGG.GGGGGGGGGGGGG"
"RRRRRRRRRRRRRR.G.GGGGGGGGGGGGGG"
"RRRRRRRRRRRRRRR.GGGGGGGGGGGGGGG"
"RRRRRRRRRRRRRR.B.GGGGGGGGGGGGGG"
"RRRRRRRRRRRRR.BBB.GGGGGGGGGGGGG"
"RRRRRRRRRRRR.BBBBB.GGGGGGGGGGGG"
"RRRRRRRRRRR.BBBBBBB.GGGGGGGGGGG"
"RRRRRRRRRR.BBBBBBBBB.GGGGGGGGGG"
"RRRRRRRRR.BBBBBBBBBBB.GGGGGGGGG"
"RRRRRRRR.BBBBBBBBBBBBB.GGGGGGGG"
"RRRRRRR.BBBBBBBBBBBBBBB.GGGGGGG"
"RRRRRR.BBBBBBBBBBBBBBBBB.GGGGGG"
"RRRRR.BBBBBBBBBBBBBBBBBBB.GGGGG"
"RRRR.BBBBBBBBBBBBBBBBBBBBB.GGGG"
"RRR.BBBBBBBBBBBBBBBBBBBBBBB.GGG"
"RR.BBBBBBBBBBBBBBBBBBBBBBBBB.GG"
"R.BBBBBBBBBBBBBBBBBBBBBBBBBBB.G"
".BBBBBBBBBBBBBBBBBBBBBBBBBBBBB."
/* icon for state 11 */
".RRRRRRRRRRRRRRRRRRRRRRRRRRRRR."
"G.RRRRRRRRRRRRRRRRRRRRRRRRRRR.Y"
"GG.RRRRRRRRRRRRRRRRRRRRRRRRR.YY"
"GGG.RRRRRRRRRRRRRRRRRRRRRRR.YYY"
"GGGG.RRRRRRRRRRRRRRRRRRRRR.YYYY"
"GGGGG.RRRRRRRRRRRRRRRRRRR.YYYYY"
"GGGGGG.RRRRRRRRRRRRRRRRR.YYYYYY"
"GGGGGGG.RRRRRRRRRRRRRRR.YYYYYYY"
"GGGGGGGG.RRRRRRRRRRRRR.YYYYYYYY"
"GGGGGGGGG.RRRRRRRRRRR.YYYYYYYYY"
"GGGGGGGGGG.RRRRRRRRR.YYYYYYYYYY"
"GGGGGGGGGGG.RRRRRRR.YYYYYYYYYYY"
"GGGGGGGGGGGG.RRRRR.YYYYYYYYYYYY"
"GGGGGGGGGGGGG.RRR.YYYYYYYYYYYYY"
"GGGGGGGGGGGGGG.R.YYYYYYYYYYYYYY"
"GGGGGGGGGGGGGGG.YYYYYYYYYYYYYYY"
"GGGGGGGGGGGGGG.R.YYYYYYYYYYYYYY"
"GGGGGGGGGGGGG.RRR.YYYYYYYYYYYYY"
"GGGGGGGGGGGG.RRRRR.YYYYYYYYYYYY"
"GGGGGGGGGGG.RRRRRRR.YYYYYYYYYYY"
"GGGGGGGGGG.RRRRRRRRR.YYYYYYYYYY"
"GGGGGGGGG.RRRRRRRRRRR.YYYYYYYYY"
"GGGGGGGG.RRRRRRRRRRRRR.YYYYYYYY"
"GGGGGGG.RRRRRRRRRRRRRRR.YYYYYYY"
"GGGGGG.RRRRRRRRRRRRRRRRR.YYYYYY"
"GGGGG.RRRRRRRRRRRRRRRRRRR.YYYYY"
"GGGG.RRRRRRRRRRRRRRRRRRRRR.YYYY"
"GGG.RRRRRRRRRRRRRRRRRRRRRRR.YYY"
"GG.RRRRRRRRRRRRRRRRRRRRRRRRR.YY"
"G.RRRRRRRRRRRRRRRRRRRRRRRRRRR.Y"
".RRRRRRRRRRRRRRRRRRRRRRRRRRRRR."``````
It might be cool to have a rule that expands the tiling as an aperiodic spacefiller.
Any completions?

Code: Select all

``````x = 18, y = 15, rule = B3/S23
b3o10b3o\$3bo10bo\$3o12b3o\$bo14bo3\$7b4o\$8b2o\$6b2o2b2o3\$bo14bo\$3o12b3o\$3b
o10bo\$b3o10b3o!``````

gameoflifemaniac
Posts: 1225
Joined: January 22nd, 2017, 11:17 am
Location: There too

### Cell Machine by Sam Hogan

https://samhogan.itch.io/cell-machine
Look at this video game Sam Hogan made. It's a zero-player game (sorta), and it's heavily inspired by cellular automata. It can't really be simulated in Golly, but is it possible to make a rule table emulating it?
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

``````b4o25bo\$o29bo\$b3o3b3o2bob2o2bob2o2bo3bobo\$4bobo3bob2o2bob2o2bobo3bobo\$
4bobo3bobo5bo5bo3bobo\$o3bobo3bobo5bo6b4o\$b3o3b3o2bo5bo9bobo\$24b4o!``````

Moosey
Posts: 4028
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

I need help making a rule (I hope this qualifies as the right thread!)

Code: Select all

``````@RULE HardyArex

A rule by Moooosey, and hypothetical future collaborators, which evaluates the hardy hierarchy subscripted with an expression in AREX notation.

Simple rules:
Find closing parenthesis at the end -> remove along with matching open parenthesis, then we carry everything in between back
Find A at the end -> remove and add one state seven cell to the state seven stack

Complex rules:
Find R at the end -> pain
Find E at the end -> carrier state madness, but at least we don't move a buncha stuff over, after all #1(#2)E[n+1] = #1(#2)(#2)E[n]

Note to self
8 1 2
7 s 3
6 5 4

@TABLE
n_states:26
neighborhood:Moore
symmetries:none

#0 -> empty space
#1 -> A
#2 -> R
#3 -> E
#4 -> X
#5 -> (
#6 -> )
#7 -> represents what you’re taking the hardy hierarchy of in unary
#8 -> R being resolved
#9 -> E being resolved
#10 -> state 7 we've already accounted for in this fs-ing
#11 photon checking for end
#12 photon found end
#13 photon found A
#14 photon found R
#15 photon found E
#16 photon found )
#17 temp A
#18 photon returning to start
#19 leftwards +1
#20 copy bound left
#21 [ - marked left paren (ignored)
#22 ] - marked right paren (ignored)
#23 check back parens
#24 { - marked left paren
#25 } - marked right paren
#<various carrier/temp states>

var any1 = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22}
var any2 = any1
var any3 = any1
var any4 = any1
var any5 = any1
var any6 = any1
var any7 = any1
var any8 = any1
var notleftparen = {0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22}
var nonzero1 = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22}
var nonzero2 = nonzero1
var nonzero3 = nonzero1
var nonzero4 = nonzero1
var nonzero5 = nonzero1
var nonzero6 = nonzero1
var nonzero7 = nonzero1
var nonzero8 = nonzero1
var anyarex0.1 = {0,1,2,3,4,5,6}
var anyarex0.2 = anyarex0.1
var anyarex0.3 = anyarex0.1
var anyarex0.4 = anyarex0.1
var anyarex0.5 = anyarex0.1
var anyarex0.6 = anyarex0.1
var anyarex0.7 = anyarex0.1
var anyarex0.8 = anyarex0.1
var anyarex1 = {1,2,3,4,5,6}
var anyarex2 = anyarex1
var anyarex3 = anyarex1
var anyarex4 = anyarex1
var anyarex5 = anyarex1
var anyarex6 = anyarex1
var anyarex7 = anyarex1
var anyarex8 = anyarex1

# re: initial photons
11 any1 any2 any3 any4 any5 any6 any7 any8 0
0 anyarex1 any2 any3 any4 any5 any6 11 any8 11
0 0 any2 any3 any4 any5 any6 11 any8 12

# re: photon identifies end
12 any1 any2 any3 any4 any5 any6 any7 1 13
12 any1 any2 any3 any4 any5 any6 any7 2 14
12 any1 any2 any3 any4 any5 any6 any7 3 15
12 any1 any2 any3 any4 any5 any6 any7 6 16

# re: A
13 any1 any2 any3 any4 0 nonzero6 any7 any8 18
13 any1 any2 any3 any4 nonzero5 any6 any7 any8 0
0 13 any2 any3 any4 any5 any6 7 any8 7
1 any1 any2 0 13 any5 any6 any7 any8 17
18 any1 any2 any3 any4 7 any6 any7 any8 0
18 any1 any2 any3 any4 0 any6 any7 0 11
18 any1 any2 any3 any4 0 any6 any7 nonzero8 0
17 any1 any2 any3 any4 18 any6 any7 any8 0
0 any1 any2 18 7 any5 any6 any7 any8 18
0 any1 any2 18 7 any5 7 any7 any8 18
0 nonzero1 any2 18 any4 any5 any6 any7 any8 18
0 0 any2 any3 any4 any5 7 13 any8 13
0 any1 any2 13 any4 0 any6 any7 any8 19
19 any1 any2 any3 any4 any5 any6 any7 any8 0
0 any1 any2 19 any4 0 any6 any7 any8 19
0 19 any2 any3 any4 any5 any6 7 any8 7
13 any1 any2 any3 any4 any5 any6 19 any8 18

# re: parens
6 any1 any2 0 16 any5 any6 any7 any8 25
16 any1 any2 any3 any4 any5 any6 any7 any8 0
0 any1 any2 16 any4 any5 any6 any7 notleftparen 16
0 any1 any2 16 any4 any5 any6 any7 5 23
5 any1 any2 any3 any4 23 any6 any7 any8 24

# re: E (who cares about R lol)

@COLORS
0 0 0 0
7 255 255 255
10 127 127 127``````
Anyone interested in helping me out with this rule (perhaps in a sandbox thread)? Basically it will be an implementation of a googological notation in CA; the rules are defined thus:

Code: Select all

``````(x)A = x + 1
#(x) = #x
#_1(a)(#_2)R = #_1(((...(a)...#_2)#_2)#_2) (more formally, the supremum of #_1(a), #_1((a)#_2), #_1(((a)#_2)#_2), etc
#_1(#_2)E = #_1(#_2)(#_2)(#_2)... (more formally, the supremum of #_1, #_1(#_2), #_1(#_2)(#_2), #_1(#_2)(#_2)(#_2), etc)``````
Anyway:
Could anyone give me icons for this rule? I need only the following icons

Code: Select all

``````1 -> letter A
2 -> letter R
3 -> letter E
4 -> letter X
5 -> left parenthesis
6 -> right parenthesis``````
Last edited by Moosey on July 24th, 2020, 12:08 pm, edited 1 time in total.
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?