Thread for basic questions

[hth3]

Just for curiosity, what was the pattern that was once posted to the forums as "eater 6"?

[hotdogPi]

It was a 22-cell pattern that is an alternative stabilization for the two ends of snacker.

[confocaloid]

Just for curiosity, what was the pattern that was once posted to the forums as "eater 6"?

I can't remember any single specific answer, but there was some related discussion:
viewtopic.php?p=130817#p130817
viewtopic.php?p=132735#p132735

[WhiteHawk]

Is there an elementary b-heptomino conduit without herschel intermediate steps that turns a b-heptomino without inverting it (as in BRx46B)?

EDIT:

(1) What do you mean by 'elementary'?

(2) What is the purpose of this question? Does this question have some particular application or use behind it, or it's merely a question about whether a component with certain properties is known at all (without it necessarily being useful otherwise)?

In terms of elementary, i mean a conduit without intermediate steps or signal transfer to another type of signal-carrying active region.

This question is just for curiosity exploration.

[MathAndCode]

Is there an elementary b-heptomino conduit without herschel intermediate steps that turns a b-heptomino without inverting it (as in BRx46B)?

Yes, specifically BR24B.

Code: Select all

x = 29, y = 30, rule = LifeHistory
4D2.4D3.3D5.D2.4D$D3.D.D3.D.D3.D3.2D2.D3.D$D3.D.D3.D5.D2.D.D2.D3.D$4D
2.4D5.D2.D2.D2.4D$D3.D.D2.D4.D3.5D.D3.D$D3.D.D3.D2.D7.D2.D3.D$4D2.D3.
D.5D4.D2.4D10$10.A$9.A.A$9.BA2B$10.2B$10.4B.BA$8.BC5BA.A$7.3BC4B.A.A$
6.4B2C5B2A$6.3B2C4B.B2.2A$7.2BC5B2.2A2.A$8.6B4.A.2A$9.2DBDB4.A$10.3D
4.2A$11.D!

[WhiteHawk]

Is there an elementary b-heptomino conduit without herschel intermediate steps that turns a b-heptomino without inverting it (as in BRx46B)?

Yes, specifically BR24B.

Code: Select all

Anything with higher clearance?

[confocaloid]

(1) What do you mean by 'elementary'?

(2) What is the purpose of this question? Does this question have some particular application or use behind it, or it's merely a question about whether a component with certain properties is known at all (without it necessarily being useful otherwise)?

Since you specified "without herschel intermediate steps", I guess it makes sense to note that connecting a "B heptomino to glider" converter to a Bronco makes what can be considered an answer to your question:

Code: Select all

#C [[ HARDRESET THEME Catagolue GRID STOP 340 ]]
x = 61, y = 78, rule = B3/S23
27bo$25b3o$24bo$24b2o3$8b2o14b2o$9bo14bobo$9bobo13bo$10b2o14$o27bo$bo
25bobo$b2o25b2o$2o$o3$5b2o$5b2o3$17b2o$18bo$15b3o$15bo11$52bo$50b3o$
49bo$27b2o20b2o$28bo$28bobo$19b2obo6b2o$19bob2o2$20b5o$15b2o2bo4bo27b
2o$15bo2bo2bo30b2o$16bobob2o$15b2obo5bo$18bo4bobo$18b2o2bo2bo$23b2o2$
59b2o$59b2o3$20b2o$20bo$21b3o19b2o$23bo19b2o$21b2o26b2o3b2o$21bo4b2o
22bo3bo$19bobo4b2o19b3o5b3o$19b2o26bo9bo!

You may or may not consider this 'elementary' depending on your definition of 'elementary conduit' and exactly which connection points you accept. But it definitely doesn't have any generation where the passing active reaction is just some generation of a Herschel and nothing else.

Until and unless there is a specific fixed list of connection points / intermediate objects, it is impossible to determine whether a conduit is "elementary" or not (and impossible to answer the question).

Is there an elementary b-heptomino conduit without herschel intermediate steps that turns a b-heptomino without inverting it (as in BRx46B)?

Yes, specifically BR24B. [...]

Anything with higher clearance?

[muzik]

What common Life evolutionary sequences are anisotropically endemic and will diverge from Life if any of the 512 transitions/conditions/whatever change? Optimizing for the smallest initial population and soonest time of divergence.

[hotcrystal0]

Is there a collection of blonk-tie conduits?

[confocaloid]

Is there a collection of blonk-tie conduits?

Several can be found in MathAndCode's version of the elementary conduit collection:
viewtopic.php?p=164613#p164613

However, I'm not sure whether there are any known "arbitrarily-continuable" connections involving a blonk-tie.

Showing that would involve a conduit that converts some versatile active object (such as a Herschel or a glider) into a blonk-tie, preferably by "shooting" it in some natural way (rather than being a contraption constructing the blonk-tie via glider synthesis), which would be followed by another conduit which would consume the blonk-tie and convert it into a versatile active object (such as a Herschel or a glider), in such a way that it would be possible to extend (continue) the resulting track arbitrarily far in both directions by prepending and appending other known conduits.

By itself that would be insufficient for showing the need for blonk-tie as a "named intermediate". Showing that would involve finding alternative connections, where a specific conduit producing a blonk-tie could be followed by two or more different conduits consuming a blonk-tie (with all of those possibilities being "arbitrarily-continuable" in the above sense), and a specific conduit consuming a blonk-tie could be preceded by two or more different conduits producing a blonk-tie (again, with all of those possibilities being "arbitrarily-continuable" in the above sense).

Since AFAIK there are currently very few known blonk-tie hasslers (let alone conduits), I think a convincing argument for including blonk-tie as a "named intermediate" (in a collection of stable conduits) would require more investigation and new discoveries.

[hth3]

How are conduits named?

[confocaloid]

How are conduits named?

Naming of Herschel conduits (such as R64, Fx77, L112) is explained in the book ( https://conwaylife.com/book/ ), "7.1: Herschel conduits".

The initial letter (R, L, F, B) means "right", "left", "forward", "backward" (180-degree rotation) respectively, and describes the change of orientation of the Herschel. It may be followed by 'x' which means that the Herschel is flipped (mirrored) after the change in the orientation denoted by the initial letter. That prefix (one or two letters) is followed by a positive integer, which tells how many ticks pass between the generation in which the input Herschel is present and the generation in which the output Herschel appears. So "R64" means "64 ticks later, the Herschel reappears somewhere turned 90 degrees to the right relative to its initial orientation".

Naming of conduits in general (with arbitrary named objects as input and output, not necessarily Herschels) is also explained in the book, "7.7: Converters for other objects".

The system is similar to that for Herschel conduits, except preceded by the shortened name of the input object ("H" for Herschel, "B" for B-heptomino, "R" for R-pentomino, and so on) and followed by the shortened name of the output object. So for example "RF28B" means that the input object is a R-pentomino, the output object is a B-heptomino, there is no change in orientation [which is also defined via an arbitrary "published" choice of the canonical orientation] between the input and the output, and 28 ticks pass between the appearance of the input object (in its canonical form) and the appearance of the output object (in its canonical form).

The above is a simplification, for example it ignores the fact that sometimes the canonical form of an object never appears. For example, conduits that are described as consuming or producing a B-heptomino may actually consume or produce a B-heptaplet or another "related" evolutionary sequence.

[WhiteHawk]

Is there a pseudo-period gun in life smaller than it's true-period counterpart if one is known?

EDIT: gun_35 and gun_47.

[dvgrn]

Is there a pseudo-period gun in life smaller than it's true-period counterpart if one is known?

EDIT: gun_35 and gun_47.

The full list of weird cases appears to be

35, 41, 44, 47, 69, 114, 120, 141, 227, 308, 394, 454, 618, 650, 705, 788, 815, 957, 1182, 2280, 3000, 3388, 3652, 3960, 5910, 6840, 9000

The list of guns in Catagolue that have a pseudo-period gun but no true-period gun is

14, 17, 18, 19, 23, 26, 29, 31, 38, 39, 5658, 6900, 8700

The higher-period guns ending in "0" mostly contain period-240 pseudo Simkin guns, but their period is a multiple of 120 but not a multiple of 240. The others look like they also contain boat-bits or other similarly inconsequential period-doubling mechanisms.

Here's the table of sizes for the cases where truegun size != gun size:

Code: Select all

period	gunsize	guntruesize
14	8964	no guntrue
17	13824	no guntrue
18	6560	no guntrue
19	13110	no guntrue
23	2013	no guntrue
26	4940	no guntrue
29	9964	no guntrue
31	14553	no guntrue
35	3080	5395
38	5488	no guntrue
39	6300	no guntrue
41	7544	10080
44	1131	1184
47	3538	21168
69	4725	5525
114	2112	2178
120	726	736
141	3782	4543
227	4018	4100
308	3096	3256
394	2890	4745
454	4018	4100
618	4836	5016
650	5432	5460
705	4836	5332
788	4590	5673
815	6612	6728
957	5330	5508
1182	4420	7904
2280	3660	3720
3000	2448	2499
3388	5184	7425
3652	4030	4080
3960	2989	3318
5658	3999	no guntrue
5910	5950	7725
6840	3660	4836
6900	3723	no guntrue
8700	5115	no guntrue
9000	3213	3264

[muzik]

Are there any stationary stabilisations of agars that are made out of waves? Presumably these would consist of a "wave gun" at one end, stationary stabilisations of wave edges at the two ends touching that, and a "wave eater" at the last end?

[dvgrn]

Are there any stationary stabilisations of agars that are made out of waves? Presumably these would consist of a "wave gun" at one end, stationary stabilisations of wave edges at the two ends touching that, and a "wave eater" at the last end?

We've got a few waves that we would technically know how to build into an example like that, but they kind of seem like cheating -- like some arbitrary length of a pi wave or a switch engine wave.

Here's a wave by GUYUT6J in 2016 that might be fun to make into a wave gun + wave supports + wave eater -- a high-period LOM wave, moving at (11,7)c/81, or (13,2)c/163, or (58.1)c/734, or orthogonally at 129c/1631 if you prefer:

Code: Select all

x = 6527, y = 356, rule = B3/S23
2bo$b2o$2o19b3o18bo$o18b3o18bo2bo18bo$39bo2bo17b3o18bo$40bo19b3o19b2o
18bo$60bo18b2o19bobo19bo$81bo18bobo17b3o$100bo19bo20b3o18bo$121bo18b2o
20bo$119bo18bo2bo18bo2bo17b3o$138bobo17b3o18bo21b2o$159b2o18bo3bo16bob
2o17bo$179bo19b5o16bob2o18bo$180bo18bobo17bo2bo17bobo20bo$200bo18bo19b
ob2o17b2obo18b2o$220b2o17bobo17bo20b4o18bo$240b2o17bobo17bo20b4o$260b
2o17bobo17bo4bo16b3o$280b2o17bo2bo16b2obobo15bobo$300b2o17b2obobo14bo
2b2o16b2o$321bo18bobob2o14b3obo16bo$340bo19b2o2bo15b2o19bo20bo$364bo
15bo2b3o13b3o2bo15bo2bo$319b2o19bo18bo44bo15bo20b3o$340bo19bo17bo18bo
6bo15bo2bob2o13b4o$339bo18bobo18b2o3bo11bo2bo23bo16bob2obo14b5o$359bo
18b3o11bo6bo5bo10b3o26b2o13bo5bo14b2ob2obo17bobo$384bo7bo3bo3bo2bobo6b
o4b3o6bo9b2o6b3o19bo13b2o2b3o14b2o2bobo18b2o19bo$397bobo3bo7bobo2bo3bo
bob2o6b2obob2o5b2o11bo7bo11bo3b4o8bo7bo3b2o14b2o2b3o14bo3bo$417bo2bobo
8bo7b2ob3o7bo3b2o6b2o11bo3b2ob2o6bo4bo3bo2bo8b2o6bobo17bo4bo3b2o10bo3b
3o$418bo13bo4b4obo9b2ob2o2bo3bo12b2obobo2bo11bobo3bobo7bo3bo5b3o8b2o6b
o2bo2bo13bobo2b5o15b2obo$400bo16b3o18bo13b4ob3ob2o8b3o2bo2bob2o8bo2bo
6bo2bo7bo4b2o3b2o9b2o7b2o9bo7bo8b2o9b3o2b2o2bo11bobo2b2o$397bobo17b3o
14bobo17b3o17bo3b2ob2o8bo3b2o2b3obo7b4o2b2o13bo2b3o5bo9b2o7b3o4b3o10b
2o6bo10bo3bob3o12b2o3bo15bo$418b2o18b2o15b2o18bo2bo13bob2o3bo11bobo2b
2o3b3obo4b3ob2obob2o16bo10bob5o8b2o4b2o11bo6b2o11b3obob2o13bo2b2o16b2o
$438b2o19bo14bob3o16bobo4bo11bo2b3ob2o3bo8b2o8bo4b2ob3ob3o6bo4bo2bo13b
o3b2o9b5obo12b3o4bo12bo5bo14b5o$458b2o18b2o13b2o2bo15b2o2bo2b3o11bo3b
2ob5o5bo3bo3b2o4bo5bob2ob3o9bo2bob2o10b4o3b2o11bo3bo13bobo2b2o13bo4bo
14b4o$479bo18bobo12b2o3b3o13bo3bo3bob2o4b3obo4bobo2bo6bo7b2o4b7obo2b2o
8bo4bobo2b2o8b3o3b2o9bo3b2o14b3o2bo14bo2b2o16b2o$499bo18b3o3b2o7bo4b2o
4bo4bob3o4bo2b2obo5b2o4b2o3bo3b5o7bobo6b2o2bo2bo12bo4bobo2b2o7b3o4b2o
10bo2b2o15bo2b2o14b2ob2o16b2o$534bo4bobo2b2o7bo3bob3o2bo2bo5b6o2bo2bob
3obo6b4o4bo2b2o2bo3bo2bo11b2o3b2o15bo2b2o7b2o5b2o10bo2bo16bo2bo16bobo
17b2o$553bobo4b2o2b2o3b2o2b3o4b2o2b2o3b2obob2o2bob2o2bo12b3o5bob2obobo
4b2o11b2o4b2o14b2o2b2o7b2o5b2o10bo2bo4bo11bob2o16bobo17bo$580bo4bo3b2o
bo2bo5bo2b3obob5o5bo3bob3o9b2o5bo2bo3bo17b2o4bo15bo3b2o7b2o6bo11b2o4b
2o13bo17b2o$574bo35bobob2o4b2o2b2o2b7o5bo3bobob2o2bo5b2o5bo3bobo7bo10b
2o4b2o14bo3bo8bo7bo10b3o5bo12b2o16b3o$574bo20bo3b2o13bo4b2o9bo3b3o3bo
3b2o3b5o4b2o4bobob3obo4bo2bo4bo3bo8b2o11bo4b2o13b2o18b2o11b2o19bo18bo$
593b2o18b2o4b2o18b2o13b2o3bo4b2o5bobo4bo5bobobo2bo6b2o5bo3b2o7bo16b3o
13b2o8b2o8b3o7bo3bo17b3o17b2o$613b2o19bo17bo3b4o14bo4bo4b2o3bo2b2o4bob
o3bobo2b3o2bo3b2o5bo4bo6bo17b2o13bo13bo7bo8b3o2bo18bo17bo$633b2o5bo11b
ob4obo11bob2ob3o13b2o10b2o3bo2bo7bo3bobo2b4o2b2obo6bo10b2o17b2o4b2o8b
3o7b3o8bo9bo3bo16b2o$638bo15b2o2b3o11bob2o3bo11b3o4bo13bo4bo2bo3b2o8b
3ob2o4bobo2b3obo2bo8bo3bo6bo13b6o6bobo6bobo7b3o3bo14b4o16b3o$658bo20bo
15b3obo11b2o4bo12bobob2obob2o3b2o4bobo3bob2o4bobo5bobo3bo6bo4b2o2bob2o
12bo3bo9bo6b3o11b2o18bo17bo$675bo3bo15b5o14bo4bo11b2ob2obobo10b5o2bobo
4b2o3b2obo2b2obo5bobo3bobobo10bo5bo2bob2o6bo6b2obobo3b2o3b3o4bo8bo4bo
15b3o18bo$677bo18b3o16b2ob2o15b2ob2o14bo4bo11bob3obobo4b2o3b2obo2bob2o
5bobo3bobobo2bo9bo3bob2obo8b3o3b2ob2o4bo5bo5bo8bob3o16bobo40b2o$717bo
18bobo17bobo17bo2bo12bob2o3bo4b2o4bob2obob2o5bobo7bobo8b2o7b3o4bo4bo5b
3o6b2o2b2o4bobo7bo3bo16b3o15b2o6bo12bo3b2o13bo$737bo18b3o17b3o17bo2bo
10bobobo2bo2bo3b2o3b2o2bo4bo5b2o4bo6bo8bo5bob2o5b2o3bo4bo2bo6b2o2bo5b
2o9b3o18bo17bo3bo2bo12bo3b2o12bo$777bo18b3o17b2o2bo10bobobo2b3o3bo5bo
3bo4bo3bobo5b2o3b2o5b3o8bo7bo3bo4b3o8bo2bo5b2o10b2o7bo7bo3b7o8bobo3b2o
2bo10b2o4bobo10bo$817b2o18bobo10bobobo4bo4bo5b2ob4obo4b3o6b2o2b2o5b3o
7b2o7bobobobo3bo9bo3bob2o2bo10b2o2bob4o7bo6b2o2bo7b3o3b2obo9bobo5b2o
11bo$837b2o17bo2bo10bobobo2b3o10b2ob3o2bo5bo8bo2bo6b3o7bo9b2o6bo10bo3b
o3b3o10b2o4bo2bo17b2o8b2o4b3o9bobo6bo$857b2o18b2o11bo7bo11b2o3b3o13bob
2obo6b2ob2o5bo9b2ob2o15bo2bo2bo2bo10b3obob3o12bo5bo7bo2bo4b4o8b3o$877b
o13bo6bo12b3o2b3o12bo2b2obo14b2o10bob2o15b4o4bo11bo6bobo11bob3ob2o8bo
4bo12b3o5b3o7b2obo$893bo3bo14b5obo12b3o4bo12b2o2b3o14b3o11bo17b2o5bo
11bo8bo11b5ob2o8bo4bo2b2o9b2o6bo9bobo18bo$896bo18b3o16b2o2bo13bo2b3o
14bo3bo9bo6b2o9bob2o6bo9b3o4b2o11bo3bob2o13b2obobo9bo4b2ob2o6b2ob3o5bo
9bo2bo$936b2o15bobo2bo13bo3b2o14b2o2bo6b3o6bo2bo12b2o2b3o3bo5b2obob3o
13bo4b2o3bo2bo6b2obobo5b2o8bobo7bo3bo6bo9b3o$956b2o15b2o2bo5b2o8b4o6b
2o8bo10bobo5bo2bo3bo5bo3bo3b2o2b2o6b4obo19bo4b3o7b2ob2o6bo3bo5bobo8b4o
17bo$976b2o16bo2bo6bo8b4o6b2o8b2o9b2o7b2o4bo5bo8bo2bo8b5o4bobo8bo2b2o
4b2o9bo2bo6bo4bo4b3o8b3o$996b2o19bo7bo8b2o8bobo6b2o4bo7bobo3b2o2b2o6b
2o2bo4b4obo6b2obo8bo7bo2bo6b3o7b3o7bo3b2o5bo9b3o$1016b2o10bo7b2o5bo4bo
14bob2o7bob4o7b3o4bo4bo15bobo9b3o6bo12bo7b5o4b3o8bo2bo17b2o$1027bo8b2o
8bobo6b2obo4bo3b2o6b2obo4b3o2bo5bobo7bobob2o4b2o2b2o5bo2bo6b3o2bo6b2o
7bo2b2o8bo7b2ob2o4b3o8b2o19bo$1047bo9bo6bob3o7b3o4b2o2b2o6b2ob2o3bo4bo
6b2ob2o3bo2b3o6bo2bo6bo2bo7b2o3bo4b3o13bo2bo2bo9bob2o4b2o10b2o15bobo
12bo5bo$1085bobo9bo6bo3bo7bobo4bo4bo6bo2bo4b5o7bo20b3o2b8o11b2o3bob2o
9bobo5b2o10b2o11bo3bo2bo$1104bo2bo9bo6b4o8bobo4b2o3bo7b3o4b2ob2o7bo7b
2o11b6o2bo2bo12b2o3bobo12bo5b2o6bo3bo10b3o3b3o$1106bo18b3o9bo7b3o8b3o
5bo2bo8b3o4b2obo9bo2bo3b2o12bo2bo3bo2bo10bobo5b2o11bo7b5o3b4o12b2o2b2o
$1146bo18b3o9bo8b2o8b3o5bobo9b2obo4bobo10bo2bo4bo5bo6b3o5b2o2bo4bo3bo
8b3o5b2o14b2o$1185b2o18b2o10b2o5bo12bobo4b3o6bo5bo5bo3b2o3b4o2bo6b2o9b
2o9b2ob6o14b2o$1206bo18b2o10b2o6bo11b2o5bo2b4o3b2o3bo5b2o2bo4b2ob3o7b
2ob3ob2o2bo13bo2b2o16bo$1227bobo16bo3bo6b2o6bo3bo4bo2b2o6b3ob2o4bo2b2o
6bo4b2obo3b2o8b4o3b2obo13b4o16b2o$1246bo2bo3bo12b4o3b5o7b2o9b2o7b2o3bo
b2o4bo7bob2o3bo3b2o10b2o2bobobo16bo17b2o$1248bo5bo12b3o3b3o11b2o5b3o9b
o2b2ob3ob2o8b2o3bo3b2obo8bobo2b2o4b2o11bo3b2obo13b2o18bo$1288b2o2b2o
13b6ob2o10bob2o3b4o8b2o4b2o2bobo8bob3o2b2o3bo12b3o2b2o14b2o2bo$1311b2o
15b2o2bo14bobobo2b2o10bo3b2o2b3obo8b2o4b2ob3o9bo5bo2bo13b3ob2o$1331b2o
16b4o13bob2o3bo12b3ob2o4b2o9bo2b2o5bo10b2o4b3o15b2obo17b2o$1351bo18bo
16b2o2b3o13bo5b2o2bo10b3obo4bo11bob2ob3o13b2o21bo$1371b2o18b2o14bo2bo
5bo10bo4bob3o11b3obo4bo15bob2o14b4o$1391b2o15bo2b2o15b3o4b2o10bo4bob3o
11b2obo3b2o13b2obobo16b3o$1412bo15b2ob3o14b3ob2obo12b2o3bob2o12bobo3b
2o13b2obobo17b2o$1449bob2o15b2obo16b2o3bobo13bobo3bo14b2ob2o18bo$1473b
2o14bobob2o14bo3bobo14b2o3bo15b4o$1470b2o18b4o15bobob2o14bo3b2o15b2o3b
o16b3o$1491bo18b3o17b2ob2o14bo3b2o15b2o2bo17b2o$1530b2o18b4o16bo2b2o
16bob2o17b2o$1551bo18b3o17b2obo17bobo19bo$1591b2o18bobo18b2o$1611b2o
18b2o19b3o18bo$1631bo18b3o18bo2bo18bo$1670bo2bo17b3o18bo$1671bo19b3o
19b2o18bo$1691bo18b2o19bobo19bo$1712bo18bobo17b3o$1731bo19bo20b3o18bo$
1752bo18b2o20bo$1750bo18bo2bo18bo2bo17b3o$1769bobo17b3o18bo21b2o$1790b
2o18bo3bo16bob2o17bo$1810bo19b5o16bob2o18bo$1811bo18bobo17bo2bo17bobo
20bo$1831bo18bo19bob2o17b2obo18b2o$1851b2o17bobo17bo20b4o18bo$1871b2o
17bobo17bo20b4o$1891b2o17bobo17bo4bo16b3o$1911b2o17bo2bo16b2obobo15bob
o$1931b2o17b2obobo14bo2b2o16b2o$1952bo18bobob2o14b3obo16bo$1971bo19b2o
2bo15b2o19bo20bo$1995bo15bo2b3o13b3o2bo15bo2bo$1950b2o19bo18bo44bo15bo
20b3o$1971bo19bo17bo18bo6bo15bo2bob2o13b4o$1970bo18bobo18b2o3bo11bo2bo
23bo16bob2obo14b5o$1990bo18b3o11bo6bo5bo10b3o26b2o13bo5bo14b2ob2obo17b
obo$2015bo7bo3bo3bo2bobo6bo4b3o6bo9b2o6b3o19bo13b2o2b3o14b2o2bobo18b2o
19bo$2028bobo3bo7bobo2bo3bobob2o6b2obob2o5b2o11bo7bo11bo3b4o8bo7bo3b2o
14b2o2b3o14bo3bo$2048bo2bobo8bo7b2ob3o7bo3b2o6b2o11bo3b2ob2o6bo4bo3bo
2bo8b2o6bobo17bo4bo3b2o10bo3b3o$2049bo13bo4b4obo9b2ob2o2bo3bo12b2obobo
2bo11bobo3bobo7bo3bo5b3o8b2o6bo2bo2bo13bobo2b5o15b2obo$2031bo16b3o18bo
13b4ob3ob2o8b3o2bo2bob2o8bo2bo6bo2bo7bo4b2o3b2o9b2o7b2o9bo7bo8b2o9b3o
2b2o2bo11bobo2b2o$2028bobo17b3o14bobo17b3o17bo3b2ob2o8bo3b2o2b3obo7b4o
2b2o13bo2b3o5bo9b2o7b3o4b3o10b2o6bo10bo3bob3o12b2o3bo15bo$2049b2o18b2o
15b2o18bo2bo13bob2o3bo11bobo2b2o3b3obo4b3ob2obob2o16bo10bob5o8b2o4b2o
11bo6b2o11b3obob2o13bo2b2o16b2o$2069b2o19bo14bob3o16bobo4bo11bo2b3ob2o
3bo8b2o8bo4b2ob3ob3o6bo4bo2bo13bo3b2o9b5obo12b3o4bo12bo5bo14b5o$2089b
2o18b2o13b2o2bo15b2o2bo2b3o11bo3b2ob5o5bo3bo3b2o4bo5bob2ob3o9bo2bob2o
10b4o3b2o11bo3bo13bobo2b2o13bo4bo14b4o$2110bo18bobo12b2o3b3o13bo3bo3bo
b2o4b3obo4bobo2bo6bo7b2o4b7obo2b2o8bo4bobo2b2o8b3o3b2o9bo3b2o14b3o2bo
14bo2b2o16b2o$2130bo18b3o3b2o7bo4b2o4bo4bob3o4bo2b2obo5b2o4b2o3bo3b5o
7bobo6b2o2bo2bo12bo4bobo2b2o7b3o4b2o10bo2b2o15bo2b2o14b2ob2o16b2o$
2165bo4bobo2b2o7bo3bob3o2bo2bo5b6o2bo2bob3obo6b4o4bo2b2o2bo3bo2bo11b2o
3b2o15bo2b2o7b2o5b2o10bo2bo16bo2bo16bobo17b2o$2184bobo4b2o2b2o3b2o2b3o
4b2o2b2o3b2obob2o2bob2o2bo12b3o5bob2obobo4b2o11b2o4b2o14b2o2b2o7b2o5b
2o10bo2bo4bo11bob2o16bobo17bo$2211bo4bo3b2obo2bo5bo2b3obob5o5bo3bob3o
9b2o5bo2bo3bo17b2o4bo15bo3b2o7b2o6bo11b2o4b2o13bo17b2o$2205bo35bobob2o
4b2o2b2o2b7o5bo3bobob2o2bo5b2o5bo3bobo7bo10b2o4b2o14bo3bo8bo7bo10b3o5b
o12b2o16b3o$2205bo20bo3b2o13bo4b2o9bo3b3o3bo3b2o3b5o4b2o4bobob3obo4bo
2bo4bo3bo8b2o11bo4b2o13b2o18b2o11b2o19bo18bo$2224b2o18b2o4b2o18b2o13b
2o3bo4b2o5bobo4bo5bobobo2bo6b2o5bo3b2o7bo16b3o13b2o8b2o8b3o7bo3bo17b3o
17b2o$2244b2o19bo17bo3b4o14bo4bo4b2o3bo2b2o4bobo3bobo2b3o2bo3b2o5bo4bo
6bo17b2o13bo13bo7bo8b3o2bo18bo17bo$2264b2o5bo11bob4obo11bob2ob3o13b2o
10b2o3bo2bo7bo3bobo2b4o2b2obo6bo10b2o17b2o4b2o8b3o7b3o8bo9bo3bo16b2o$
2269bo15b2o2b3o11bob2o3bo11b3o4bo13bo4bo2bo3b2o8b3ob2o4bobo2b3obo2bo8b
o3bo6bo13b6o6bobo6bobo7b3o3bo14b4o16b3o$2289bo20bo15b3obo11b2o4bo12bob
ob2obob2o3b2o4bobo3bob2o4bobo5bobo3bo6bo4b2o2bob2o12bo3bo9bo6b3o11b2o
18bo17bo$2306bo3bo15b5o14bo4bo11b2ob2obobo10b5o2bobo4b2o3b2obo2b2obo5b
obo3bobobo10bo5bo2bob2o6bo6b2obobo3b2o3b3o4bo8bo4bo15b3o18bo$2308bo18b
3o16b2ob2o15b2ob2o14bo4bo11bob3obobo4b2o3b2obo2bob2o5bobo3bobobo2bo9bo
3bob2obo8b3o3b2ob2o4bo5bo5bo8bob3o16bobo40b2o$2348bo18bobo17bobo17bo2b
o12bob2o3bo4b2o4bob2obob2o5bobo7bobo8b2o7b3o4bo4bo5b3o6b2o2b2o4bobo7bo
3bo16b3o15b2o6bo12bo3b2o13bo$2368bo18b3o17b3o17bo2bo10bobobo2bo2bo3b2o
3b2o2bo4bo5b2o4bo6bo8bo5bob2o5b2o3bo4bo2bo6b2o2bo5b2o9b3o18bo17bo3bo2b
o12bo3b2o12bo$2408bo18b3o17b2o2bo10bobobo2b3o3bo5bo3bo4bo3bobo5b2o3b2o
5b3o8bo7bo3bo4b3o8bo2bo5b2o10b2o7bo7bo3b7o8bobo3b2o2bo10b2o4bobo10bo$
2448b2o18bobo10bobobo4bo4bo5b2ob4obo4b3o6b2o2b2o5b3o7b2o7bobobobo3bo9b
o3bob2o2bo10b2o2bob4o7bo6b2o2bo7b3o3b2obo9bobo5b2o11bo$2468b2o17bo2bo
10bobobo2b3o10b2ob3o2bo5bo8bo2bo6b3o7bo9b2o6bo10bo3bo3b3o10b2o4bo2bo
17b2o8b2o4b3o9bobo6bo$2488b2o18b2o11bo7bo11b2o3b3o13bob2obo6b2ob2o5bo
9b2ob2o15bo2bo2bo2bo10b3obob3o12bo5bo7bo2bo4b4o8b3o$2508bo13bo6bo12b3o
2b3o12bo2b2obo14b2o10bob2o15b4o4bo11bo6bobo11bob3ob2o8bo4bo12b3o5b3o7b
2obo$2524bo3bo14b5obo12b3o4bo12b2o2b3o14b3o11bo17b2o5bo11bo8bo11b5ob2o
8bo4bo2b2o9b2o6bo9bobo18bo$2527bo18b3o16b2o2bo13bo2b3o14bo3bo9bo6b2o9b
ob2o6bo9b3o4b2o11bo3bob2o13b2obobo9bo4b2ob2o6b2ob3o5bo9bo2bo$2567b2o
15bobo2bo13bo3b2o14b2o2bo6b3o6bo2bo12b2o2b3o3bo5b2obob3o13bo4b2o3bo2bo
6b2obobo5b2o8bobo7bo3bo6bo9b3o$2587b2o15b2o2bo5b2o8b4o6b2o8bo10bobo5bo
2bo3bo5bo3bo3b2o2b2o6b4obo19bo4b3o7b2ob2o6bo3bo5bobo8b4o17bo$2607b2o
16bo2bo6bo8b4o6b2o8b2o9b2o7b2o4bo5bo8bo2bo8b5o4bobo8bo2b2o4b2o9bo2bo6b
o4bo4b3o8b3o$2627b2o19bo7bo8b2o8bobo6b2o4bo7bobo3b2o2b2o6b2o2bo4b4obo
6b2obo8bo7bo2bo6b3o7b3o7bo3b2o5bo9b3o$2647b2o10bo7b2o5bo4bo14bob2o7bob
4o7b3o4bo4bo15bobo9b3o6bo12bo7b5o4b3o8bo2bo17b2o$2658bo8b2o8bobo6b2obo
4bo3b2o6b2obo4b3o2bo5bobo7bobob2o4b2o2b2o5bo2bo6b3o2bo6b2o7bo2b2o8bo7b
2ob2o4b3o8b2o19bo$2678bo9bo6bob3o7b3o4b2o2b2o6b2ob2o3bo4bo6b2ob2o3bo2b
3o6bo2bo6bo2bo7b2o3bo4b3o13bo2bo2bo9bob2o4b2o10b2o15bobo12bo5bo$2716bo
bo9bo6bo3bo7bobo4bo4bo6bo2bo4b5o7bo20b3o2b8o11b2o3bob2o9bobo5b2o10b2o
11bo3bo2bo$2735bo2bo9bo6b4o8bobo4b2o3bo7b3o4b2ob2o7bo7b2o11b6o2bo2bo
12b2o3bobo12bo5b2o6bo3bo10b3o3b3o$2737bo18b3o9bo7b3o8b3o5bo2bo8b3o4b2o
bo9bo2bo3b2o12bo2bo3bo2bo10bobo5b2o11bo7b5o3b4o12b2o2b2o$2777bo18b3o9b
o8b2o8b3o5bobo9b2obo4bobo10bo2bo4bo5bo6b3o5b2o2bo4bo3bo8b3o5b2o14b2o$
2816b2o18b2o10b2o5bo12bobo4b3o6bo5bo5bo3b2o3b4o2bo6b2o9b2o9b2ob6o14b2o
$2837bo18b2o10b2o6bo11b2o5bo2b4o3b2o3bo5b2o2bo4b2ob3o7b2ob3ob2o2bo13bo
2b2o16bo$2858bobo16bo3bo6b2o6bo3bo4bo2b2o6b3ob2o4bo2b2o6bo4b2obo3b2o8b
4o3b2obo13b4o16b2o$2877bo2bo3bo12b4o3b5o7b2o9b2o7b2o3bob2o4bo7bob2o3bo
3b2o10b2o2bobobo16bo17b2o$2879bo5bo12b3o3b3o11b2o5b3o9bo2b2ob3ob2o8b2o
3bo3b2obo8bobo2b2o4b2o11bo3b2obo13b2o18bo$2919b2o2b2o13b6ob2o10bob2o3b
4o8b2o4b2o2bobo8bob3o2b2o3bo12b3o2b2o14b2o2bo$2942b2o15b2o2bo14bobobo
2b2o10bo3b2o2b3obo8b2o4b2ob3o9bo5bo2bo13b3ob2o$2962b2o16b4o13bob2o3bo
12b3ob2o4b2o9bo2b2o5bo10b2o4b3o15b2obo17b2o$2982bo18bo16b2o2b3o13bo5b
2o2bo10b3obo4bo11bob2ob3o13b2o21bo$3002b2o18b2o14bo2bo5bo10bo4bob3o11b
3obo4bo15bob2o14b4o$3022b2o15bo2b2o15b3o4b2o10bo4bob3o11b2obo3b2o13b2o
bobo16b3o$3043bo15b2ob3o14b3ob2obo12b2o3bob2o12bobo3b2o13b2obobo17b2o$
3080bob2o15b2obo16b2o3bobo13bobo3bo14b2ob2o18bo$3104b2o14bobob2o14bo3b
obo14b2o3bo15b4o$3101b2o18b4o15bobob2o14bo3b2o15b2o3bo16b3o$3122bo18b
3o17b2ob2o14bo3b2o15b2o2bo17b2o$3161b2o18b4o16bo2b2o16bob2o17b2o$3182b
o18b3o17b2obo17bobo19bo$3222b2o18bobo18b2o$3242b2o18b2o19b3o18bo$3262b
o18b3o18bo2bo18bo$3301bo2bo17b3o18bo$3302bo19b3o19b2o18bo$3322bo18b2o
19bobo19bo$3343bo18bobo17b3o$3362bo19bo20b3o18bo$3383bo18b2o20bo$3381b
o18bo2bo18bo2bo17b3o$3400bobo17b3o18bo21b2o$3421b2o18bo3bo16bob2o17bo$
3441bo19b5o16bob2o18bo$3442bo18bobo17bo2bo17bobo20bo$3462bo18bo19bob2o
17b2obo18b2o$3482b2o17bobo17bo20b4o18bo$3502b2o17bobo17bo20b4o$3522b2o
17bobo17bo4bo16b3o$3542b2o17bo2bo16b2obobo15bobo$3562b2o17b2obobo14bo
2b2o16b2o$3583bo18bobob2o14b3obo16bo$3602bo19b2o2bo15b2o19bo20bo$3626b
o15bo2b3o13b3o2bo15bo2bo$3581b2o19bo18bo44bo15bo20b3o$3602bo19bo17bo
18bo6bo15bo2bob2o13b4o$3601bo18bobo18b2o3bo11bo2bo23bo16bob2obo14b5o$
3621bo18b3o11bo6bo5bo10b3o26b2o13bo5bo14b2ob2obo17bobo$3646bo7bo3bo3bo
2bobo6bo4b3o6bo9b2o6b3o19bo13b2o2b3o14b2o2bobo18b2o19bo$3659bobo3bo7bo
bo2bo3bobob2o6b2obob2o5b2o11bo7bo11bo3b4o8bo7bo3b2o14b2o2b3o14bo3bo$
3679bo2bobo8bo7b2ob3o7bo3b2o6b2o11bo3b2ob2o6bo4bo3bo2bo8b2o6bobo17bo4b
o3b2o10bo3b3o$3680bo13bo4b4obo9b2ob2o2bo3bo12b2obobo2bo11bobo3bobo7bo
3bo5b3o8b2o6bo2bo2bo13bobo2b5o15b2obo$3662bo16b3o18bo13b4ob3ob2o8b3o2b
o2bob2o8bo2bo6bo2bo7bo4b2o3b2o9b2o7b2o9bo7bo8b2o9b3o2b2o2bo11bobo2b2o$
3659bobo17b3o14bobo17b3o17bo3b2ob2o8bo3b2o2b3obo7b4o2b2o13bo2b3o5bo9b
2o7b3o4b3o10b2o6bo10bo3bob3o12b2o3bo15bo$3680b2o18b2o15b2o18bo2bo13bob
2o3bo11bobo2b2o3b3obo4b3ob2obob2o16bo10bob5o8b2o4b2o11bo6b2o11b3obob2o
13bo2b2o16b2o$3700b2o19bo14bob3o16bobo4bo11bo2b3ob2o3bo8b2o8bo4b2ob3ob
3o6bo4bo2bo13bo3b2o9b5obo12b3o4bo12bo5bo14b5o$3720b2o18b2o13b2o2bo15b
2o2bo2b3o11bo3b2ob5o5bo3bo3b2o4bo5bob2ob3o9bo2bob2o10b4o3b2o11bo3bo13b
obo2b2o13bo4bo14b4o$3741bo18bobo12b2o3b3o13bo3bo3bob2o4b3obo4bobo2bo6b
o7b2o4b7obo2b2o8bo4bobo2b2o8b3o3b2o9bo3b2o14b3o2bo14bo2b2o16b2o$3761bo
18b3o3b2o7bo4b2o4bo4bob3o4bo2b2obo5b2o4b2o3bo3b5o7bobo6b2o2bo2bo12bo4b
obo2b2o7b3o4b2o10bo2b2o15bo2b2o14b2ob2o16b2o$3796bo4bobo2b2o7bo3bob3o
2bo2bo5b6o2bo2bob3obo6b4o4bo2b2o2bo3bo2bo11b2o3b2o15bo2b2o7b2o5b2o10bo
2bo16bo2bo16bobo17b2o$3815bobo4b2o2b2o3b2o2b3o4b2o2b2o3b2obob2o2bob2o
2bo12b3o5bob2obobo4b2o11b2o4b2o14b2o2b2o7b2o5b2o10bo2bo4bo11bob2o16bob
o17bo$3842bo4bo3b2obo2bo5bo2b3obob5o5bo3bob3o9b2o5bo2bo3bo17b2o4bo15bo
3b2o7b2o6bo11b2o4b2o13bo17b2o$3836bo35bobob2o4b2o2b2o2b7o5bo3bobob2o2b
o5b2o5bo3bobo7bo10b2o4b2o14bo3bo8bo7bo10b3o5bo12b2o16b3o$3836bo20bo3b
2o13bo4b2o9bo3b3o3bo3b2o3b5o4b2o4bobob3obo4bo2bo4bo3bo8b2o11bo4b2o13b
2o18b2o11b2o19bo18bo$3855b2o18b2o4b2o18b2o13b2o3bo4b2o5bobo4bo5bobobo
2bo6b2o5bo3b2o7bo16b3o13b2o8b2o8b3o7bo3bo17b3o17b2o$3875b2o19bo17bo3b
4o14bo4bo4b2o3bo2b2o4bobo3bobo2b3o2bo3b2o5bo4bo6bo17b2o13bo13bo7bo8b3o
2bo18bo17bo$3895b2o5bo11bob4obo11bob2ob3o13b2o10b2o3bo2bo7bo3bobo2b4o
2b2obo6bo10b2o17b2o4b2o8b3o7b3o8bo9bo3bo16b2o$3900bo15b2o2b3o11bob2o3b
o11b3o4bo13bo4bo2bo3b2o8b3ob2o4bobo2b3obo2bo8bo3bo6bo13b6o6bobo6bobo7b
3o3bo14b4o16b3o$3920bo20bo15b3obo11b2o4bo12bobob2obob2o3b2o4bobo3bob2o
4bobo5bobo3bo6bo4b2o2bob2o12bo3bo9bo6b3o11b2o18bo17bo$3937bo3bo15b5o
14bo4bo11b2ob2obobo10b5o2bobo4b2o3b2obo2b2obo5bobo3bobobo10bo5bo2bob2o
6bo6b2obobo3b2o3b3o4bo8bo4bo15b3o18bo$3939bo18b3o16b2ob2o15b2ob2o14bo
4bo11bob3obobo4b2o3b2obo2bob2o5bobo3bobobo2bo9bo3bob2obo8b3o3b2ob2o4bo
5bo5bo8bob3o16bobo40b2o$3979bo18bobo17bobo17bo2bo12bob2o3bo4b2o4bob2ob
ob2o5bobo7bobo8b2o7b3o4bo4bo5b3o6b2o2b2o4bobo7bo3bo16b3o15b2o6bo12bo3b
2o13bo$3999bo18b3o17b3o17bo2bo10bobobo2bo2bo3b2o3b2o2bo4bo5b2o4bo6bo8b
o5bob2o5b2o3bo4bo2bo6b2o2bo5b2o9b3o18bo17bo3bo2bo12bo3b2o12bo$4039bo
18b3o17b2o2bo10bobobo2b3o3bo5bo3bo4bo3bobo5b2o3b2o5b3o8bo7bo3bo4b3o8bo
2bo5b2o10b2o7bo7bo3b7o8bobo3b2o2bo10b2o4bobo10bo$4079b2o18bobo10bobobo
4bo4bo5b2ob4obo4b3o6b2o2b2o5b3o7b2o7bobobobo3bo9bo3bob2o2bo10b2o2bob4o
7bo6b2o2bo7b3o3b2obo9bobo5b2o11bo$4099b2o17bo2bo10bobobo2b3o10b2ob3o2b
o5bo8bo2bo6b3o7bo9b2o6bo10bo3bo3b3o10b2o4bo2bo17b2o8b2o4b3o9bobo6bo$
4119b2o18b2o11bo7bo11b2o3b3o13bob2obo6b2ob2o5bo9b2ob2o15bo2bo2bo2bo10b
3obob3o12bo5bo7bo2bo4b4o8b3o$4139bo13bo6bo12b3o2b3o12bo2b2obo14b2o10bo
b2o15b4o4bo11bo6bobo11bob3ob2o8bo4bo12b3o5b3o7b2obo$4155bo3bo14b5obo
12b3o4bo12b2o2b3o14b3o11bo17b2o5bo11bo8bo11b5ob2o8bo4bo2b2o9b2o6bo9bob
o18bo$4158bo18b3o16b2o2bo13bo2b3o14bo3bo9bo6b2o9bob2o6bo9b3o4b2o11bo3b
ob2o13b2obobo9bo4b2ob2o6b2ob3o5bo9bo2bo$4198b2o15bobo2bo13bo3b2o14b2o
2bo6b3o6bo2bo12b2o2b3o3bo5b2obob3o13bo4b2o3bo2bo6b2obobo5b2o8bobo7bo3b
o6bo9b3o$4218b2o15b2o2bo5b2o8b4o6b2o8bo10bobo5bo2bo3bo5bo3bo3b2o2b2o6b
4obo19bo4b3o7b2ob2o6bo3bo5bobo8b4o17bo$4238b2o16bo2bo6bo8b4o6b2o8b2o9b
2o7b2o4bo5bo8bo2bo8b5o4bobo8bo2b2o4b2o9bo2bo6bo4bo4b3o8b3o$4258b2o19bo
7bo8b2o8bobo6b2o4bo7bobo3b2o2b2o6b2o2bo4b4obo6b2obo8bo7bo2bo6b3o7b3o7b
o3b2o5bo9b3o$4278b2o10bo7b2o5bo4bo14bob2o7bob4o7b3o4bo4bo15bobo9b3o6bo
12bo7b5o4b3o8bo2bo17b2o$4289bo8b2o8bobo6b2obo4bo3b2o6b2obo4b3o2bo5bobo
7bobob2o4b2o2b2o5bo2bo6b3o2bo6b2o7bo2b2o8bo7b2ob2o4b3o8b2o19bo$4309bo
9bo6bob3o7b3o4b2o2b2o6b2ob2o3bo4bo6b2ob2o3bo2b3o6bo2bo6bo2bo7b2o3bo4b
3o13bo2bo2bo9bob2o4b2o10b2o15bobo12bo5bo$4347bobo9bo6bo3bo7bobo4bo4bo
6bo2bo4b5o7bo20b3o2b8o11b2o3bob2o9bobo5b2o10b2o11bo3bo2bo$4366bo2bo9bo
6b4o8bobo4b2o3bo7b3o4b2ob2o7bo7b2o11b6o2bo2bo12b2o3bobo12bo5b2o6bo3bo
10b3o3b3o$4368bo18b3o9bo7b3o8b3o5bo2bo8b3o4b2obo9bo2bo3b2o12bo2bo3bo2b
o10bobo5b2o11bo7b5o3b4o12b2o2b2o$4408bo18b3o9bo8b2o8b3o5bobo9b2obo4bob
o10bo2bo4bo5bo6b3o5b2o2bo4bo3bo8b3o5b2o14b2o$4447b2o18b2o10b2o5bo12bob
o4b3o6bo5bo5bo3b2o3b4o2bo6b2o9b2o9b2ob6o14b2o$4468bo18b2o10b2o6bo11b2o
5bo2b4o3b2o3bo5b2o2bo4b2ob3o7b2ob3ob2o2bo13bo2b2o16bo$4489bobo16bo3bo
6b2o6bo3bo4bo2b2o6b3ob2o4bo2b2o6bo4b2obo3b2o8b4o3b2obo13b4o16b2o$4508b
o2bo3bo12b4o3b5o7b2o9b2o7b2o3bob2o4bo7bob2o3bo3b2o10b2o2bobobo16bo17b
2o$4510bo5bo12b3o3b3o11b2o5b3o9bo2b2ob3ob2o8b2o3bo3b2obo8bobo2b2o4b2o
11bo3b2obo13b2o18bo$4550b2o2b2o13b6ob2o10bob2o3b4o8b2o4b2o2bobo8bob3o
2b2o3bo12b3o2b2o14b2o2bo$4573b2o15b2o2bo14bobobo2b2o10bo3b2o2b3obo8b2o
4b2ob3o9bo5bo2bo13b3ob2o$4593b2o16b4o13bob2o3bo12b3ob2o4b2o9bo2b2o5bo
10b2o4b3o15b2obo17b2o$4613bo18bo16b2o2b3o13bo5b2o2bo10b3obo4bo11bob2ob
3o13b2o21bo$4633b2o18b2o14bo2bo5bo10bo4bob3o11b3obo4bo15bob2o14b4o$
4653b2o15bo2b2o15b3o4b2o10bo4bob3o11b2obo3b2o13b2obobo16b3o$4674bo15b
2ob3o14b3ob2obo12b2o3bob2o12bobo3b2o13b2obobo17b2o$4711bob2o15b2obo16b
2o3bobo13bobo3bo14b2ob2o18bo$4735b2o14bobob2o14bo3bobo14b2o3bo15b4o$
4732b2o18b4o15bobob2o14bo3b2o15b2o3bo16b3o$4753bo18b3o17b2ob2o14bo3b2o
15b2o2bo17b2o$4792b2o18b4o16bo2b2o16bob2o17b2o$4813bo18b3o17b2obo17bob
o19bo$4853b2o18bobo18b2o$4873b2o18b2o19b3o18bo$4893bo18b3o18bo2bo18bo$
4932bo2bo17b3o18bo$4933bo19b3o19b2o18bo$4953bo18b2o19bobo19bo$4974bo
18bobo17b3o$4993bo19bo20b3o18bo$5014bo18b2o20bo$5012bo18bo2bo18bo2bo
17b3o$5031bobo17b3o18bo21b2o$5052b2o18bo3bo16bob2o17bo$5072bo19b5o16bo
b2o18bo$5073bo18bobo17bo2bo17bobo20bo$5093bo18bo19bob2o17b2obo18b2o$
5113b2o17bobo17bo20b4o18bo$5133b2o17bobo17bo20b4o$5153b2o17bobo17bo4bo
16b3o$5173b2o17bo2bo16b2obobo15bobo$5193b2o17b2obobo14bo2b2o16b2o$
5214bo18bobob2o14b3obo16bo$5233bo19b2o2bo15b2o19bo20bo$5257bo15bo2b3o
13b3o2bo15bo2bo$5212b2o19bo18bo44bo15bo20b3o$5233bo19bo17bo18bo6bo15bo
2bob2o13b4o$5232bo18bobo18b2o3bo11bo2bo23bo16bob2obo14b5o$5252bo18b3o
11bo6bo5bo10b3o26b2o13bo5bo14b2ob2obo17bobo$5277bo7bo3bo3bo2bobo6bo4b
3o6bo9b2o6b3o19bo13b2o2b3o14b2o2bobo18b2o19bo$5290bobo3bo7bobo2bo3bobo
b2o6b2obob2o5b2o11bo7bo11bo3b4o8bo7bo3b2o14b2o2b3o14bo3bo$5310bo2bobo
8bo7b2ob3o7bo3b2o6b2o11bo3b2ob2o6bo4bo3bo2bo8b2o6bobo17bo4bo3b2o10bo3b
3o$5311bo13bo4b4obo9b2ob2o2bo3bo12b2obobo2bo11bobo3bobo7bo3bo5b3o8b2o
6bo2bo2bo13bobo2b5o15b2obo$5293bo16b3o18bo13b4ob3ob2o8b3o2bo2bob2o8bo
2bo6bo2bo7bo4b2o3b2o9b2o7b2o9bo7bo8b2o9b3o2b2o2bo11bobo2b2o$5290bobo
17b3o14bobo17b3o17bo3b2ob2o8bo3b2o2b3obo7b4o2b2o13bo2b3o5bo9b2o7b3o4b
3o10b2o6bo10bo3bob3o12b2o3bo15bo$5311b2o18b2o15b2o18bo2bo13bob2o3bo11b
obo2b2o3b3obo4b3ob2obob2o16bo10bob5o8b2o4b2o11bo6b2o11b3obob2o13bo2b2o
16b2o$5331b2o19bo14bob3o16bobo4bo11bo2b3ob2o3bo8b2o8bo4b2ob3ob3o6bo4bo
2bo13bo3b2o9b5obo12b3o4bo12bo5bo14b5o$5351b2o18b2o13b2o2bo15b2o2bo2b3o
11bo3b2ob5o5bo3bo3b2o4bo5bob2ob3o9bo2bob2o10b4o3b2o11bo3bo13bobo2b2o
13bo4bo14b4o$5372bo18bobo12b2o3b3o13bo3bo3bob2o4b3obo4bobo2bo6bo7b2o4b
7obo2b2o8bo4bobo2b2o8b3o3b2o9bo3b2o14b3o2bo14bo2b2o16b2o$5392bo18b3o3b
2o7bo4b2o4bo4bob3o4bo2b2obo5b2o4b2o3bo3b5o7bobo6b2o2bo2bo12bo4bobo2b2o
7b3o4b2o10bo2b2o15bo2b2o14b2ob2o16b2o$5427bo4bobo2b2o7bo3bob3o2bo2bo5b
6o2bo2bob3obo6b4o4bo2b2o2bo3bo2bo11b2o3b2o15bo2b2o7b2o5b2o10bo2bo16bo
2bo16bobo17b2o$5446bobo4b2o2b2o3b2o2b3o4b2o2b2o3b2obob2o2bob2o2bo12b3o
5bob2obobo4b2o11b2o4b2o14b2o2b2o7b2o5b2o10bo2bo4bo11bob2o16bobo17bo$
5473bo4bo3b2obo2bo5bo2b3obob5o5bo3bob3o9b2o5bo2bo3bo17b2o4bo15bo3b2o7b
2o6bo11b2o4b2o13bo17b2o$5467bo35bobob2o4b2o2b2o2b7o5bo3bobob2o2bo5b2o
5bo3bobo7bo10b2o4b2o14bo3bo8bo7bo10b3o5bo12b2o16b3o$5467bo20bo3b2o13bo
4b2o9bo3b3o3bo3b2o3b5o4b2o4bobob3obo4bo2bo4bo3bo8b2o11bo4b2o13b2o18b2o
11b2o19bo18bo$5486b2o18b2o4b2o18b2o13b2o3bo4b2o5bobo4bo5bobobo2bo6b2o
5bo3b2o7bo16b3o13b2o8b2o8b3o7bo3bo17b3o17b2o$5506b2o19bo17bo3b4o14bo4b
o4b2o3bo2b2o4bobo3bobo2b3o2bo3b2o5bo4bo6bo17b2o13bo13bo7bo8b3o2bo18bo
17bo$5526b2o5bo11bob4obo11bob2ob3o13b2o10b2o3bo2bo7bo3bobo2b4o2b2obo6b
o10b2o17b2o4b2o8b3o7b3o8bo9bo3bo16b2o$5531bo15b2o2b3o11bob2o3bo11b3o4b
o13bo4bo2bo3b2o8b3ob2o4bobo2b3obo2bo8bo3bo6bo13b6o6bobo6bobo7b3o3bo14b
4o16b3o$5551bo20bo15b3obo11b2o4bo12bobob2obob2o3b2o4bobo3bob2o4bobo5bo
bo3bo6bo4b2o2bob2o12bo3bo9bo6b3o11b2o18bo17bo$5568bo3bo15b5o14bo4bo11b
2ob2obobo10b5o2bobo4b2o3b2obo2b2obo5bobo3bobobo10bo5bo2bob2o6bo6b2obob
o3b2o3b3o4bo8bo4bo15b3o18bo$5570bo18b3o16b2ob2o15b2ob2o14bo4bo11bob3ob
obo4b2o3b2obo2bob2o5bobo3bobobo2bo9bo3bob2obo8b3o3b2ob2o4bo5bo5bo8bob
3o16bobo40b2o$5610bo18bobo17bobo17bo2bo12bob2o3bo4b2o4bob2obob2o5bobo
7bobo8b2o7b3o4bo4bo5b3o6b2o2b2o4bobo7bo3bo16b3o15b2o6bo12bo3b2o13bo$
5630bo18b3o17b3o17bo2bo10bobobo2bo2bo3b2o3b2o2bo4bo5b2o4bo6bo8bo5bob2o
5b2o3bo4bo2bo6b2o2bo5b2o9b3o18bo17bo3bo2bo12bo3b2o12bo$5670bo18b3o17b
2o2bo10bobobo2b3o3bo5bo3bo4bo3bobo5b2o3b2o5b3o8bo7bo3bo4b3o8bo2bo5b2o
10b2o7bo7bo3b7o8bobo3b2o2bo10b2o4bobo10bo$5710b2o18bobo10bobobo4bo4bo
5b2ob4obo4b3o6b2o2b2o5b3o7b2o7bobobobo3bo9bo3bob2o2bo10b2o2bob4o7bo6b
2o2bo7b3o3b2obo9bobo5b2o11bo$5730b2o17bo2bo10bobobo2b3o10b2ob3o2bo5bo
8bo2bo6b3o7bo9b2o6bo10bo3bo3b3o10b2o4bo2bo17b2o8b2o4b3o9bobo6bo$5750b
2o18b2o11bo7bo11b2o3b3o13bob2obo6b2ob2o5bo9b2ob2o15bo2bo2bo2bo10b3obob
3o12bo5bo7bo2bo4b4o8b3o$5770bo13bo6bo12b3o2b3o12bo2b2obo14b2o10bob2o
15b4o4bo11bo6bobo11bob3ob2o8bo4bo12b3o5b3o7b2obo$5786bo3bo14b5obo12b3o
4bo12b2o2b3o14b3o11bo17b2o5bo11bo8bo11b5ob2o8bo4bo2b2o9b2o6bo9bobo18bo
$5789bo18b3o16b2o2bo13bo2b3o14bo3bo9bo6b2o9bob2o6bo9b3o4b2o11bo3bob2o
13b2obobo9bo4b2ob2o6b2ob3o5bo9bo2bo$5829b2o15bobo2bo13bo3b2o14b2o2bo6b
3o6bo2bo12b2o2b3o3bo5b2obob3o13bo4b2o3bo2bo6b2obobo5b2o8bobo7bo3bo6bo
9b3o$5849b2o15b2o2bo5b2o8b4o6b2o8bo10bobo5bo2bo3bo5bo3bo3b2o2b2o6b4obo
19bo4b3o7b2ob2o6bo3bo5bobo8b4o17bo$5869b2o16bo2bo6bo8b4o6b2o8b2o9b2o7b
2o4bo5bo8bo2bo8b5o4bobo8bo2b2o4b2o9bo2bo6bo4bo4b3o8b3o$5889b2o19bo7bo
8b2o8bobo6b2o4bo7bobo3b2o2b2o6b2o2bo4b4obo6b2obo8bo7bo2bo6b3o7b3o7bo3b
2o5bo9b3o$5909b2o10bo7b2o5bo4bo14bob2o7bob4o7b3o4bo4bo15bobo9b3o6bo12b
o7b5o4b3o8bo2bo17b2o$5920bo8b2o8bobo6b2obo4bo3b2o6b2obo4b3o2bo5bobo7bo
bob2o4b2o2b2o5bo2bo6b3o2bo6b2o7bo2b2o8bo7b2ob2o4b3o8b2o19bo$5940bo9bo
6bob3o7b3o4b2o2b2o6b2ob2o3bo4bo6b2ob2o3bo2b3o6bo2bo6bo2bo7b2o3bo4b3o
13bo2bo2bo9bob2o4b2o10b2o15bobo12bo5bo$5978bobo9bo6bo3bo7bobo4bo4bo6bo
2bo4b5o7bo20b3o2b8o11b2o3bob2o9bobo5b2o10b2o11bo3bo2bo$5997bo2bo9bo6b
4o8bobo4b2o3bo7b3o4b2ob2o7bo7b2o11b6o2bo2bo12b2o3bobo12bo5b2o6bo3bo10b
3o3b3o$5999bo18b3o9bo7b3o8b3o5bo2bo8b3o4b2obo9bo2bo3b2o12bo2bo3bo2bo
10bobo5b2o11bo7b5o3b4o12b2o2b2o$6039bo18b3o9bo8b2o8b3o5bobo9b2obo4bobo
10bo2bo4bo5bo6b3o5b2o2bo4bo3bo8b3o5b2o14b2o$6078b2o18b2o10b2o5bo12bobo
4b3o6bo5bo5bo3b2o3b4o2bo6b2o9b2o9b2ob6o14b2o$6099bo18b2o10b2o6bo11b2o
5bo2b4o3b2o3bo5b2o2bo4b2ob3o7b2ob3ob2o2bo13bo2b2o16bo$6120bobo16bo3bo
6b2o6bo3bo4bo2b2o6b3ob2o4bo2b2o6bo4b2obo3b2o8b4o3b2obo13b4o16b2o$6139b
o2bo3bo12b4o3b5o7b2o9b2o7b2o3bob2o4bo7bob2o3bo3b2o10b2o2bobobo16bo17b
2o$6141bo5bo12b3o3b3o11b2o5b3o9bo2b2ob3ob2o8b2o3bo3b2obo8bobo2b2o4b2o
11bo3b2obo13b2o18bo$6181b2o2b2o13b6ob2o10bob2o3b4o8b2o4b2o2bobo8bob3o
2b2o3bo12b3o2b2o14b2o2bo$6204b2o15b2o2bo14bobobo2b2o10bo3b2o2b3obo8b2o
4b2ob3o9bo5bo2bo13b3ob2o$6224b2o16b4o13bob2o3bo12b3ob2o4b2o9bo2b2o5bo
10b2o4b3o15b2obo17b2o$6244bo18bo16b2o2b3o13bo5b2o2bo10b3obo4bo11bob2ob
3o13b2o21bo$6264b2o18b2o14bo2bo5bo10bo4bob3o11b3obo4bo15bob2o14b4o$
6284b2o15bo2b2o15b3o4b2o10bo4bob3o11b2obo3b2o13b2obobo16b3o$6305bo15b
2ob3o14b3ob2obo12b2o3bob2o12bobo3b2o13b2obobo17b2o$6342bob2o15b2obo16b
2o3bobo13bobo3bo14b2ob2o18bo$6366b2o14bobob2o14bo3bobo14b2o3bo15b4o$
6363b2o18b4o15bobob2o14bo3b2o15b2o3bo16b3o$6384bo18b3o17b2ob2o14bo3b2o
15b2o2bo17b2o$6423b2o18b4o16bo2b2o16bob2o17b2o$6444bo18b3o17b2obo17bob
o19bo$6484b2o18bobo18b2o$6504b2o18b2o$6524bo!

It would be necessary to supply new LOMs at the edge of each wave, every 81 ticks or so, and figure out a way to suppress the debris quickly to allow for inserting the LOMs -- or maybe a better trick would be to find a set of glider collisions to turn the debris directly into the next LOM. (?)

Are there other known waves along these lines, maybe with even more distance between the parts and even higher amounts of time between additions being needed at the ends?

[hth3]

What is mice theory?

[confocaloid]

What is mice theory?

In general that depends on context, but the forum search results might be relevant: search.php?keywords=mice+theory

Otherwise there are apparently other meanings https://www.google.com/search?q=%22mice+theory%22 but most of them don't seem to be Life/CA-related.

[get_Snacked]

how can i turn this agar into a torus, sphere, cylinder, Klein bottle, cross surface, or plane so that it runs forever?

Code: Select all

x = 299, y = 299, rule = B3/S23
151bobo$151bobo$151b3o3$156b3o$156bo$156b3o4$140b3o$142bo$140b3o3$145b
3o$145bobo$145bobo2$131bobo37bobo$131bobo37bobo$131b3o37b3o3$136b3o37b
3o$136bo39bo$136b3o37b3o4$120b3o37b3o$122bo39bo$120b3o37b3o3$125b3o37b
3o$125bobo37bobo$125bobo37bobo2$111bobo37bobo37bobo$111bobo37bobo37bo
bo$111b3o37b3o37b3o3$116b3o37b3o37b3o$116bo39bo39bo$116b3o37b3o37b3o4$
100b3o37b3o37b3o$102bo39bo39bo$100b3o37b3o37b3o3$105b3o37b3o37b3o$105b
obo37bobo37bobo$105bobo37bobo37bobo2$91bobo37bobo37bobo37bobo$91bobo37b
obo37bobo37bobo$91b3o37b3o37b3o37b3o3$96b3o37b3o37b3o37b3o$96bo39bo39b
o39bo$96b3o37b3o37b3o37b3o4$80b3o37b3o37b3o37b3o$82bo39bo39bo39bo$80b
3o37b3o37b3o37b3o3$85b3o37b3o37b3o37b3o$85bobo37bobo37bobo37bobo$85bo
bo37bobo37bobo37bobo2$71bobo37bobo37bobo37bobo37bobo$71bobo37bobo37bo
bo37bobo37bobo$71b3o37b3o37b3o37b3o37b3o3$76b3o37b3o37b3o37b3o37b3o$76b
o39bo39bo39bo39bo$76b3o37b3o37b3o37b3o37b3o4$60b3o37b3o37b3o37b3o37b3o
$62bo39bo39bo39bo39bo$60b3o37b3o37b3o37b3o37b3o3$65b3o37b3o37b3o37b3o
37b3o$65bobo37bobo37bobo37bobo37bobo$65bobo37bobo37bobo37bobo37bobo2$
51bobo37bobo37bobo37bobo37bobo37bobo$51bobo37bobo37bobo37bobo37bobo37b
obo$51b3o37b3o37b3o37b3o37b3o37b3o3$56b3o37b3o37b3o37b3o37b3o37b3o$56b
o39bo39bo39bo39bo39bo$56b3o37b3o37b3o37b3o37b3o37b3o4$40b3o37b3o37b3o
37b3o37b3o37b3o$42bo39bo39bo39bo39bo39bo$40b3o37b3o37b3o37b3o37b3o37b
3o3$45b3o37b3o37b3o37b3o37b3o37b3o$45bobo37bobo37bobo37bobo37bobo37bo
bo$45bobo37bobo37bobo37bobo37bobo37bobo2$31bobo37bobo37bobo37bobo37bo
bo37bobo37bobo$31bobo37bobo37bobo37bobo37bobo37bobo37bobo$31b3o37b3o37b
3o37b3o37b3o37b3o37b3o3$36b3o37b3o37b3o37b3o37b3o37b3o37b3o$36bo39bo39b
o39bo39bo39bo39bo$36b3o37b3o37b3o37b3o37b3o37b3o37b3o4$20b3o37b3o37b3o
37b3o37b3o37b3o37b3o$22bo39bo39bo39bo39bo39bo39bo$20b3o37b3o37b3o37b3o
37b3o37b3o37b3o3$25b3o37b3o37b3o37b3o37b3o37b3o37b3o$25bobo37bobo37bo
bo37bobo37bobo37bobo37bobo$25bobo37bobo37bobo37bobo37bobo37bobo37bobo
2$11bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo$11bobo37bobo37bobo
37bobo37bobo37bobo37bobo37bobo$11b3o37b3o37b3o37b3o37b3o37b3o37b3o37b
3o3$16b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o$16bo39bo39bo39bo39bo39bo
39bo39bo$16b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o4$3o37b3o37b3o37b3o37b
3o37b3o37b3o37b3o$2bo39bo39bo39bo39bo39bo39bo39bo$3o37b3o37b3o37b3o37b
3o37b3o37b3o37b3o3$5b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o$5bobo37bob
o37bobo37bobo37bobo37bobo37bobo37bobo$5bobo37bobo37bobo37bobo37bobo37b
obo37bobo37bobo2$31bobo37bobo37bobo37bobo37bobo37bobo37bobo$31bobo37b
obo37bobo37bobo37bobo37bobo37bobo$31b3o37b3o37b3o37b3o37b3o37b3o37b3o
3$36b3o37b3o37b3o37b3o37b3o37b3o37b3o$36bo39bo39bo39bo39bo39bo39bo$36b
3o37b3o37b3o37b3o37b3o37b3o37b3o4$20b3o37b3o37b3o37b3o37b3o37b3o37b3o
$22bo39bo39bo39bo39bo39bo39bo$20b3o37b3o37b3o37b3o37b3o37b3o37b3o3$25b
3o37b3o37b3o37b3o37b3o37b3o37b3o$25bobo37bobo37bobo37bobo37bobo37bobo
37bobo$25bobo37bobo37bobo37bobo37bobo37bobo37bobo2$51bobo37bobo37bobo
37bobo37bobo37bobo$51bobo37bobo37bobo37bobo37bobo37bobo$51b3o37b3o37b
3o37b3o37b3o37b3o3$56b3o37b3o37b3o37b3o37b3o37b3o$56bo39bo39bo39bo39b
o39bo$56b3o37b3o37b3o37b3o37b3o37b3o4$40b3o37b3o37b3o37b3o37b3o37b3o$
42bo39bo39bo39bo39bo39bo$40b3o37b3o37b3o37b3o37b3o37b3o3$45b3o37b3o37b
3o37b3o37b3o37b3o$45bobo37bobo37bobo37bobo37bobo37bobo$45bobo37bobo37b
obo37bobo37bobo37bobo2$71bobo37bobo37bobo37bobo37bobo$71bobo37bobo37b
obo37bobo37bobo$71b3o37b3o37b3o37b3o37b3o3$76b3o37b3o37b3o37b3o37b3o$
76bo39bo39bo39bo39bo$76b3o37b3o37b3o37b3o37b3o4$60b3o37b3o37b3o37b3o37b
3o$62bo39bo39bo39bo39bo$60b3o37b3o37b3o37b3o37b3o3$65b3o37b3o37b3o37b
3o37b3o$65bobo37bobo37bobo37bobo37bobo$65bobo37bobo37bobo37bobo37bobo
2$91bobo37bobo37bobo37bobo$91bobo37bobo37bobo37bobo$91b3o37b3o37b3o37b
3o3$96b3o37b3o37b3o37b3o$96bo39bo39bo39bo$96b3o37b3o37b3o37b3o4$80b3o
37b3o37b3o37b3o$82bo39bo39bo39bo$80b3o37b3o37b3o37b3o3$85b3o37b3o37b3o
37b3o$85bobo37bobo37bobo37bobo$85bobo37bobo37bobo37bobo2$111bobo37bob
o37bobo$111bobo37bobo37bobo$111b3o37b3o37b3o3$116b3o37b3o37b3o$116bo39b
o39bo$116b3o37b3o37b3o4$100b3o37b3o37b3o$102bo39bo39bo$100b3o37b3o37b
3o3$105b3o37b3o37b3o$105bobo37bobo37bobo$105bobo37bobo37bobo2$131bobo
37bobo$131bobo37bobo$131b3o37b3o3$136b3o37b3o$136bo39bo$136b3o37b3o4$
120b3o37b3o$122bo39bo$120b3o37b3o3$125b3o37b3o$125bobo37bobo$125bobo37b
obo2$151bobo$151bobo$151b3o3$156b3o$156bo$156b3o4$140b3o$142bo$140b3o
3$145b3o$145bobo$145bobo!

[dvgrn]

how can i turn this agar into a torus, sphere, cylinder, Klein bottle, cross surface, or plane so that it runs forever?

See https://golly.sourceforge.io/Help/bounded.html. So for the torus case it could be, for example,

Code: Select all

x = 40, y = 40, rule = B3/S23:T40,40
obo$obo$3o3$5b3o$5bo$5b3o4$29b3o$31bo$29b3o3$34b3o$34bobo$34bobo2$20b
obo$20bobo$20b3o3$25b3o$25bo$25b3o4$9b3o$11bo$9b3o3$14b3o$14bobo$14bo
bo!

-- or you might want to create a somewhat larger patch so you can see it better.

[get_Snacked]

in the definition of this rule's cellstates, what do the A's and B's mean?

Code: Select all

x = 270, y = 137, rule = Test_post206089
156.C4.C$154.2C.4C.2C$156.C4.C$8.A$7.A.A$8.A2$6.5A$5.A4.A20.2A36.C3.C
14.A3.A$4.A2.A23.A37.5C14.5A$.A2.A.2A21.A.A$A.A.A5.A18.2A$.A2.A4.A.A$
4.2A2.A2.A$9.2A$40.2A$40.A89.2C$38.A.A90.2C$38.2A90.C$116.C4.C$20.2A
92.2C.4C.2C$20.2A94.C4.C5$72.2C14.2A$72.2C14.2A$74.2C10.2A$74.2C10.2A
$43.A8.A$44.2A5.A.A$43.2A6.A.A$30.A21.A$29.A.A6.2A$29.A.A5.2A$30.A8.A
101.A4.A30.3C$130.2A7.2A.4A.2A28.C3D$131.2A8.A4.A31.C2D$130.A48.2D$
116.A4.A58.D$114.2A.4A.2A$116.A4.A3$61.2A$61.2A2$43.2A$42.A.A$42.A$
41.2A$72.2A$71.A2.A2.2A$71.A.A4.A2.A$52.2A18.A5.A.A.A$51.A.A21.2A.A2.
A$51.A23.A2.A$50.2A20.A4.A$72.5A2$74.A$73.A.A$74.A71$267.3A$267.A$
268.A!

@RULE Test_post206089

https://conwaylife.com/forums/viewtopic.php?p=206089#p206089

Cellstates:
0 = quiescent background, two non-forbidden transitions: 0->0, 0->5.
1 = live A, three non-forbidden transitions: 1->3 (survival A->B), 1->4 (death A->B), 1->5.
2 = dead A, three non-forbidden transitions: 2->3 (birth A->B), 2->4 (abstain A->B), 2->5.
3 = live B, three non-forbidden transitions: 3->1 (survival B->A), 3->2 (death B->A), 3->5.
4 = dead B, three non-forbidden transitions: 4->1 (birth B->A), 4->2 (abstain B->A), 4->5.
5 = kaboom, one non-forbidden transition: only 5->5.

Connected configurations involving only cellstates 0, 1, 2 follow CGoL (B3/S23)
and one tick later evolve into configurations involving only cellstates 0, 3, 4.

Connected configurations involving only cellstates 0, 3, 4 follow CGoL (B3/S23)
and one tick later evolve into configurations involving only cellstates 0, 1, 2.

Every possible interaction involving at least one of cellstates 1, 2 and
at least one of cellstates 3, 4 creates a state-5 cell. State-5 cells never change,
and all neighbours of a state-5 cell always become state-5 one tick later.

@COLORS

0 48 48 48
1 48 240 48
2 48 120 48
3 48 48 240
4 48 48 120
5 240 240 240

@TABLE
n_states:6
neighborhood:Moore
symmetries:permute

var nonzero={1,2,3,4,5}

var a={0,2}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a

var b={0,4}
var b1=b
var b2=b
var b3=b
var b4=b
var b5=b
var b6=b
var b7=b
var b8=b

var x={0,1,2,3,4,5}
var n=x
var r=x
var e=x
var h=x
var s=x
var v=x
var w=x
var l=x

# quiescent background:

0, 1,1,1,1,1,1,1,1, 0
0, 1,1,1,1,1,1,1,a8, 0
0, 1,1,1,1,1,1,a7,a8, 0
0, 1,1,1,1,1,a6,a7,a8, 0
0, 1,1,1,1,a5,a6,a7,a8, 0
0, 1,1,1,a4,a5,a6,a7,a8, 3  # birth A->B
0, 1,1,a3,a4,a5,a6,a7,a8, 0
0, 1,a2,a3,a4,a5,a6,a7,a8, 0
0, a1,a2,a3,a4,a5,a6,a7,a8, 0

0, 3,3,3,3,3,3,3,3, 0
0, 3,3,3,3,3,3,3,b8, 0
0, 3,3,3,3,3,3,b7,b8, 0
0, 3,3,3,3,3,b6,b7,b8, 0
0, 3,3,3,3,b5,b6,b7,b8, 0
0, 3,3,3,b4,b5,b6,b7,b8, 1  # birth B->A
0, 3,3,b3,b4,b5,b6,b7,b8, 0
0, 3,b2,b3,b4,b5,b6,b7,b8, 0
0, b1,b2,b3,b4,b5,b6,b7,b8, 0

# rules prescribing either "survival A->B" or "death A->B":
1, 1,1,1,1,1,1,1,1, 4
1, 1,1,1,1,1,1,1,a8, 4
1, 1,1,1,1,1,1,a7,a8, 4
1, 1,1,1,1,1,a6,a7,a8, 4
1, 1,1,1,1,a5,a6,a7,a8, 4
1, 1,1,1,a4,a5,a6,a7,a8, 3  # survival A->B
1, 1,1,a3,a4,a5,a6,a7,a8, 3  # survival A->B
1, 1,a2,a3,a4,a5,a6,a7,a8, 4
1, a1,a2,a3,a4,a5,a6,a7,a8, 4

# rules prescribing either "birth A->B" or "abstain A->B":
2, 1,1,1,1,1,1,1,1, 4
2, 1,1,1,1,1,1,1,a8, 4
2, 1,1,1,1,1,1,a7,a8, 4
2, 1,1,1,1,1,a6,a7,a8, 4
2, 1,1,1,1,a5,a6,a7,a8, 4
2, 1,1,1,a4,a5,a6,a7,a8, 3  # birth A->B
2, 1,1,a3,a4,a5,a6,a7,a8, 4
2, 1,a2,a3,a4,a5,a6,a7,a8, 4
2, a1,a2,a3,a4,a5,a6,a7,a8, 4

# rules prescribing either "survival B->A" or "death B->A":
3, 3,3,3,3,3,3,3,3, 2
3, 3,3,3,3,3,3,3,b8, 2
3, 3,3,3,3,3,3,b7,b8, 2
3, 3,3,3,3,3,b6,b7,b8, 2
3, 3,3,3,3,b5,b6,b7,b8, 2
3, 3,3,3,b4,b5,b6,b7,b8, 1  # survival B->A
3, 3,3,b3,b4,b5,b6,b7,b8, 1  # survival B->A
3, 3,b2,b3,b4,b5,b6,b7,b8, 2
3, b1,b2,b3,b4,b5,b6,b7,b8, 2

# rules prescribing either "birth B->A" or "abstain B->A":
4, 3,3,3,3,3,3,3,3, 2
4, 3,3,3,3,3,3,3,b8, 2
4, 3,3,3,3,3,3,b7,b8, 2
4, 3,3,3,3,3,b6,b7,b8, 2
4, 3,3,3,3,b5,b6,b7,b8, 2
4, 3,3,3,b4,b5,b6,b7,b8, 1  # birth B->A
4, 3,3,b3,b4,b5,b6,b7,b8, 2
4, 3,b2,b3,b4,b5,b6,b7,b8, 2
4, b1,b2,b3,b4,b5,b6,b7,b8, 2

# otherwise, kaboom:
nonzero, n,r,e,h,s,v,w,l, 5
0, n,r,e,h,s,v,w,nonzero, 5

[dvgrn]

in the definition of this rule's cellstates, what do the A's and B's mean?

...

This was some clever rule engineering by confocaloid, making a rule that isn't anywhere near omniperiodic but still allows oscillators with an unbounded number of different periods -- even periods are all possible, and odd periods are all impossible.

"A" effectively just means "a green ON or OFF cell", and "B" just means "a blue ON or OFF cell".

Maybe a bit confusingly, those green ON and OFF cells are encoded in RLE as "A" and "B" respectively; blue ON and OFF cells are encoded as "C" and "D" respectively.

[confocaloid]

Not really, 'A' and 'B' don't have anything to do with the RLE encoding. They also don't refer to specific display colours of cells.

Instead, the intent was to have a multistate cellular automaton with two different pairs of cellstates (one pair is "live A" and "dead A", and another pair is "live B" and "dead B"), and with rules chosen so that patterns involving cellstates from only one of those pairs (within a single generation) evolve in a way that can be predicted by evolving equivalent two-state patterns in CGoL (with "equivalent" defined by mapping "live" to 1 and "dead" to 0), while any interaction between cellstates from different pairs causes what is described as kaboom in the comments within the .rule file.

The letters 'A' and 'B' refer to two pairs of cellstates.

in the definition of this rule's cellstates, what do the A's and B's mean?

Code: Select all

[...]
@RULE Test_post206089

https://conwaylife.com/forums/viewtopic.php?p=206089#p206089

Cellstates:
0 = quiescent background, two non-forbidden transitions: 0->0, 0->5.
1 = live A, three non-forbidden transitions: 1->3 (survival A->B), 1->4 (death A->B), 1->5.
2 = dead A, three non-forbidden transitions: 2->3 (birth A->B), 2->4 (abstain A->B), 2->5.
3 = live B, three non-forbidden transitions: 3->1 (survival B->A), 3->2 (death B->A), 3->5.
4 = dead B, three non-forbidden transitions: 4->1 (birth B->A), 4->2 (abstain B->A), 4->5.
5 = kaboom, one non-forbidden transition: only 5->5.

Connected configurations involving only cellstates 0, 1, 2 follow CGoL (B3/S23)
and one tick later evolve into configurations involving only cellstates 0, 3, 4.

Connected configurations involving only cellstates 0, 3, 4 follow CGoL (B3/S23)
and one tick later evolve into configurations involving only cellstates 0, 1, 2.

Every possible interaction involving at least one of cellstates 1, 2 and
at least one of cellstates 3, 4 creates a state-5 cell. State-5 cells never change,
and all neighbours of a state-5 cell always become state-5 one tick later.

[...]

[islptng]

Can I run Golly on Raspberry Pi? If so, is there a precompiled version? If not, why?

[confocaloid]

Can I run Golly on Raspberry Pi? If so, is there a precompiled version? If not, why?

Looking through an earlier discussion (which I found through forum search),
viewtopic.php?p=149924#p149924
it looks like someone was able to compile and run Golly on a Raspberry Pi.