Thread for basic non-CGOL questions

[confocaloid]

It looks confusing. :shock:

For details, see https://golly.sourceforge.io/Help/Algor ... e.html#map

Related discussion: viewtopic.php?f=11&t=6470 Human-readable alternative to base64-encoded MAP rulestrings?

MAP rulestring notation isn't human-readable, and isn't writable or tweakable "by hand". It is a reasonably compact encoding of the rules (i.e., for which 3-by-3 neighbourhood configurations the rules prescribe that the middle cell will be alive in the next generation, and for which 3-by-3 neighbourhood configurations the rules prescribe that the middle cell will be dead in the next generation). There are 2^9 = 512 distinguishable cell conditions in this case, and one needs to spend one bit for each of them, so 512 bits = 64 bytes in total; base64-encoding gives more than 64 characters.

[tommyaweosme]

you have the 1000th post of the thread.

my thing dcode.fr does not go in chunks of nine, just in chunks of 8...

[confocaloid]

MAP rulestring notation

Here's a question.

By definition, a flipping horse is an oblique spaceship with the property that some asymmetric phase of the spaceship is (a translation of) a mirrored image of another phase of the spaceship.

It's not hard to understand why there can be no flipping horse in an isotropic cellular automaton. (If the rules are isotropic, then the evolution will continue in essentially the same way after appearance of "a mirrored image of another phase", and hence the spaceship will necessarily be either orthogonal or diagonal.)

Are there any known flipping horses in the rulespace covered by the MAP rulestring notation? (= two-state CA using the range-1 Moore neighbourhood)

Are there any known flipping horses in chiral cellular automata? (The ruleset is unaffected by rotations, but is affected by mirror-reflections.)

[H. H. P. M. P. Cole]

(This is not really a basic question.)

Code: Select all

x = 19, y = 19, rule = B2-an3cn4aw/S1e3jry5k
9bo$8bobo$2bobo9bobo2$2bo13bo4$bo15bo$o17bo$bo15bo4$2bo13bo2$2bobo9bo
bo$8bobo$9bo!

This rule has a c/5o and a c/7d which have similar Euclidean speeds (0.2 versus sqrt(2)/7 ≈ 0.202).

By 'similar speeds' I mean that the ships have Euclidean speeds differing by less than 1/1000 of the slowest/slower ship's speed.
What are the slowest possible ships in the same (nonexplosive) INT rule which have this property, provided that the ships have similar speeds?
What is the largest possible number of ships of similar speeds in the same (nonexplosive) INT rule provided that all the ships have different slopes?

[confocaloid]

[...] By 'similar speeds' I mean that the ships have Euclidean speeds differing by less than 1/1000 of the slowest/slower ship's speed. [...]

Are equal Euclidean speeds accepted too? Here is an example (not likely to win either "slowest" or "largest number", though). The speeds of the two spaceships are orthogonal c/4 = 0.25c and oblique (4,3)c/20 = 0.25c. (Extracted the oblique spaceship from the 5S database, and then used qfind to find the orthogonal spaceship.)

Code: Select all

x = 63, y = 63, rule = B2-an3-inry4ejkr5nq6a/S01e2c3cnry4ejkqrt5jn6c
31bo$28bob3obo$27bo2bobo2bo$26bo4bo4bo$27bo3bo3bo$25b4obobob4o$14bobo
8bobobo3bobobo8bobo$27b3o3b3o$17bo27bo$30bobo5$6bo49bo2$6bo49bo$8bo45b
o8$5b2o49b2o$3bobo51bobo$2bob4o47b4obo$bo3bobo47bobo3bo$6b2o47b2o$b2o
2bo3bo43bo3bo2b2o$2ob2o53b2ob2o$b2o2bo3bo43bo3bo2b2o$6b2o47b2o$bo3bobo
47bobo3bo$2bob4o47b4obo$3bobo51bobo$5b2o49b2o8$8bo45bo$6bo49bo2$6bo49b
o5$30bobo$17bo27bo$27b3o3b3o$14bobo8bobobo3bobobo8bobo$25b4obobob4o$
27bo3bo3bo$26bo4bo4bo$27bo2bobo2bo$28bob3obo$31bo!

[Empty Emptiness]

r= is much easier to type

you know what, just r

so rlife and rb3s35 are rule referring

and czoom16 is [[ ZOOM 16 ]]

edit: i JUST NOTICED that empty emptiness's b3s0145678 kills still lifes that are in regular life. aka, things that die in one generation in this rule are still lifes in life. take advantage and find small sparks. convert them into life, and get big still life.

maybe useful for heshel condits

you got it, and it's also the other way around

[CasperWen8805181]

Does this pattern create quadratic growth? my computer can't run it after 8000 generations ;-;

Code: Select all

x = 41, y = 34, rule = 08/26/4
16.AB2.C$16.B3CB$8.ABC5.C2.BA3.A3.A$7.ABC3.2A$ABC2.ABC2.BA.2B$ABC.ABC
.A2B2.2B2C$2.ABC.ABC2.2B2.2B$3.ABC.ABC.2A2.2A2$15.2C2.2C$15.2B2.2B$15.
2A2.2A2$19.2C2.A.CBA$19.2B4.CBA.AB$19.2A4.2A.AB10.A$24.ABC.CB$24.ABC.
CB$19.2A4.2A.AB10.A$19.2B4.CBA.AB$19.2C2.A.CBA2$15.2A2.2A$15.2B2.2B$15.
2C2.2C2$3.ABC.ABC.2A2.2A$2.ABC.ABC2.2B2.2B$ABC.ABC.A2B2.2B2C$ABC2.ABC
2.BA.2B$7.ABC3.2A$8.ABC5.C2.BA3.A3.A$16.B3CB$16.AB2.C!

[confocaloid]

Does this pattern create quadratic growth? my computer can't run it after 8000 generations ;-;

Code: Select all

x = 41, y = 34, rule = 08/26/4
16.AB2.C$16.B3CB$8.ABC5.C2.BA3.A3.A$7.ABC3.2A$ABC2.ABC2.BA.2B$ABC.ABC
.A2B2.2B2C$2.ABC.ABC2.2B2.2B$3.ABC.ABC.2A2.2A2$15.2C2.2C$15.2B2.2B$15.
2A2.2A2$19.2C2.A.CBA$19.2B4.CBA.AB$19.2A4.2A.AB10.A$24.ABC.CB$24.ABC.
CB$19.2A4.2A.AB10.A$19.2B4.CBA.AB$19.2C2.A.CBA2$15.2A2.2A$15.2B2.2B$15.
2C2.2C2$3.ABC.ABC.2A2.2A$2.ABC.ABC2.2B2.2B$ABC.ABC.A2B2.2B2C$ABC2.ABC
2.BA.2B$7.ABC3.2A$8.ABC5.C2.BA3.A3.A$16.B3CB$16.AB2.C!

Golly 4.3 can run it very quickly for over 56000 ticks. At T = 56565, the following collision happens (surrounded by other reactions):

Code: Select all

x = 29, y = 29, rule = 08/26/4
3.A2$28.A$6.A4$27.A3$5.A2$A11$10.2A$10.2B$9.A2C$8.AB$8.BC$8.C!

That slows down the simulation. I don't know whether or not the pattern eventually settles into quadratic population growth.

[CasperWen8805181]

I feel like this rule is pretty fun, might deserve it's own thread

Code: Select all

x = 17, y = 37, rule = 08/26/4
12.A$2.2A6.ABCA$2.2B6.B2.C$2.2CA6.BC$4.BA$3.ACB$2.AB.C6.A$2.BC6.ABCA$
.AC7.B2.C$AB9.BC$BCA$C.BA$2.CB8.A$3.CA5.ABCA$4.BA4.B2.C$2.A.B6.BC$4.B
A$3.CA$2.CB8.A$C.BA6.ABCA$BCA7.B2.C$AB9.BC$.AC$2.BC$2.AB.C6.A$3.ACB4.
ABCA$4.BA4.B2.C$2.2CA6.BC$2.2B$2.2A$12.A$10.ABCA2.C$8.2C.BC2ACB$8.2B2A
B2.BA$8.2A2.A2CA$13.2B$13.2A!

very very very big speed difference in a growing ship:

Code: Select all

x = 9, y = 40, rule = 08/26/4
4.A15$3.2A$2.A2B$2.B2C$2.C$5.CA$5.C2A$2.AC.CA$2.C$3.C3$3.ABA$2.AC.B$2.
C$3.C3$3.ABA$2.AC.B$3.C.2B.C$2C2BC2.CB$2B2.B2.BA$2A2.A2CA$5.2B$5.2A!

[confocaloid]

[...] By 'similar speeds' I mean that the ships have Euclidean speeds differing by less than 1/1000 of the slowest/slower ship's speed. [...]

Are equal Euclidean speeds accepted too? Here is an example [...]

Here is another example, with two known spaceships in a known apgsearchable CA (Catagolue page):

Code: Select all

x = 60, y = 60, rule = B3-y/S234w
25b3o4b3o$12b3o11bo6bo11b3o$12bobo30bobo$11bo2bo13bo2bo13bo2bo$11bobo
13b2o2b2o13bobo$12bo10bo12bo10bo$22b3o4b2o4b3o$22b3o3bo2bo3b3o2$24b2o
2bo2bo2b2o$24bob3o2b3obo$3b2o21bo2b2o2bo21b2o$b2o2bo19b2o6b2o19bo2b2o$
bo2bo50bo2bo$b3o20bob2o4b2obo20b3o$23bo2b2o4b2o2bo$22bo3b2o4b2o3bo$23b
o12bo5$6b2o8bo26bo8b2o$5b3o7bobo24bobo7b3o$6b2ob2o3bo30bo3b2ob2o$o8bo
2bo34bo2bo8bo$2o8b3ob3o26b3ob3o8b2o$o3bo5bo3b3o26b3o3bo5bo3bo$3b2o2bob
2o38b2obo2b2o$6bo4bo36bo4bo$6bo4bo36bo4bo$3b2o2bob2o38b2obo2b2o$o3bo5b
o3b3o26b3o3bo5bo3bo$2o8b3ob3o26b3ob3o8b2o$o8bo2bo34bo2bo8bo$6b2ob2o3bo
30bo3b2ob2o$5b3o7bobo24bobo7b3o$6b2o8bo26bo8b2o5$23bo12bo$22bo3b2o4b2o
3bo$23bo2b2o4b2o2bo$b3o20bob2o4b2obo20b3o$bo2bo50bo2bo$b2o2bo19b2o6b2o
19bo2b2o$3b2o21bo2b2o2bo21b2o$24bob3o2b3obo$24b2o2bo2bo2b2o2$22b3o3bo
2bo3b3o$22b3o4b2o4b3o$12bo10bo12bo10bo$11bobo13b2o2b2o13bobo$11bo2bo
13bo2bo13bo2bo$12bobo30bobo$12b3o11bo6bo11b3o$25b3o4b3o!

One possible way to get more slopes would be to find a CA where it is easy to engineer oblique spaceships, and make spaceships with the following displacements (all with the same Euclidean length) over the same number of ticks:

Code: Select all

(50, 55), (41, 62), (25, 70), (22, 71), (14, 73), (7, 74)

Another set of six displacements:

Code: Select all

(64, 73), (55, 80), (41, 88), (31, 92), (20, 95), (4, 97)

edit: here are the resulting circles:

Code: Select all

x = 195, y = 195, rule = B/S012345678
93bo7bo2$77bo39bo3$66bo61bo4$56bo81bo8$42bo109bo6$90bo13bo$33bo49bo27b
o49bo2$75bo43bo$72bo49bo6$24bo145bo2$56bo81bo7$17bo29bo99bo29bo5$42bo
109bo9$9bo25bo123bo25bo10$5bo183bo6$27bo139bo3$26bo141bo2$2bo189bo6$
24bo145bo7$23bo147bo3$o193bo4$97bo4$o193bo3$23bo147bo7$24bo145bo6$2bo
189bo2$26bo141bo3$27bo139bo6$5bo183bo10$9bo25bo123bo25bo9$42bo109bo5$
17bo29bo99bo29bo7$56bo81bo2$24bo145bo6$72bo49bo$75bo43bo2$33bo49bo27bo
49bo$90bo13bo6$42bo109bo8$56bo81bo4$66bo61bo3$77bo39bo2$93bo7bo!
#C [[ THEME Caterer ]]

[H. H. P. M. P. Cole]

One possible way to get more slopes would be to find a CA where it is easy to engineer oblique spaceships, and make spaceships with the following displacements (all with the same Euclidean length) over the same number of ticks:

Not really a solution to my question, but it is relatively easy to make multistate Moore-neighbourhood isotropic (i.e. rotate4reflect) CA where there are unadjustable ships with the 'same-Euclidean-velocity property', as seen below:

Code: Select all

325 = 18^2 + 1^2 = 17^2 + 6^2 = 15^2 + 10^2

Code: Select all

x = 39, y = 39, rule = sqrt325
17.BqE.qEB$12.BpD4.A.A4.pDB$13.A11.A$8.BC19.CB$9.A19.A4$3.B31.B$3.CA29.
AC3$.B35.B$.pDA33.ApD4$B37.B$qEA35.AqE2$qEA35.AqE$B37.B4$.pDA33.ApD$.
B35.B3$3.CA29.AC$3.B31.B4$9.A19.A$8.BC19.CB$13.A11.A$12.BpD4.A.A4.pDB
$17.BqE.qEB!
@RULE sqrt325
@TABLE
n_states: 78
neighborhood: Moore
symmetries: rotate4reflect
var a = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
0,2,3,0,0,0,0,0,0,2
0,3,2,0,0,0,0,0,0,4
3,2,0,1,0,0,0,0,0,1
0,2,4,0,0,0,0,0,0,2
0,4,2,0,0,0,0,0,0,5
4,2,0,1,0,0,0,0,0,1
0,2,5,0,0,0,0,0,0,2
0,5,2,0,0,0,0,0,0,6
5,2,0,1,0,0,0,0,0,1
0,2,6,0,0,0,0,0,0,2
0,6,2,0,0,0,0,0,0,7
6,2,0,1,0,0,0,0,0,1
0,2,7,0,0,0,0,0,0,2
0,7,2,0,0,0,0,0,0,8
7,2,0,1,0,0,0,0,0,1
0,2,8,0,0,0,0,0,0,2
0,8,2,0,0,0,0,0,0,9
8,2,0,1,0,0,0,0,0,1
0,2,9,0,0,0,0,0,0,2
0,9,2,0,0,0,0,0,0,10
9,2,0,1,0,0,0,0,0,1
0,2,10,0,0,0,0,0,0,2
0,10,2,0,0,0,0,0,0,11
10,2,0,1,0,0,0,0,0,1
0,2,11,0,0,0,0,0,0,2
0,11,2,0,0,0,0,0,0,12
11,2,0,1,0,0,0,0,0,1
0,2,12,0,0,0,0,0,0,2
0,12,2,0,0,0,0,0,0,13
12,2,0,1,0,0,0,0,0,1
0,2,13,0,0,0,0,0,0,2
0,13,2,0,0,0,0,0,0,14
13,2,0,1,0,0,0,0,0,1
0,2,14,0,0,0,0,0,0,2
0,14,2,0,0,0,0,0,0,15
14,2,0,1,0,0,0,0,0,1
0,2,15,0,0,0,0,0,0,2
0,15,2,0,0,0,0,0,0,16
15,2,0,1,0,0,0,0,0,1
0,2,16,0,0,0,0,0,0,2
0,16,2,0,0,0,0,0,0,17
16,2,0,1,0,0,0,0,0,1
0,2,17,0,0,0,0,0,0,2
17,2,0,1,0,0,0,0,0,1
2,17,1,0,0,0,0,0,0,18
0,2,18,0,0,0,0,0,0,2
0,18,2,0,0,0,0,0,0,19
18,2,0,1,0,0,0,0,0,1
0,2,19,0,0,0,0,0,0,2
0,19,2,0,0,0,0,0,0,20
19,2,0,1,0,0,0,0,0,1
0,2,20,0,0,0,0,0,0,2
0,20,2,0,0,0,0,0,0,21
20,2,0,1,0,0,0,0,0,1
0,2,21,0,0,0,0,0,0,2
0,21,2,0,0,0,0,0,0,22
21,2,0,1,0,0,0,0,0,1
0,2,22,0,0,0,0,0,0,2
0,22,2,0,0,0,0,0,0,23
22,2,0,1,0,0,0,0,0,1
0,2,23,0,0,0,0,0,0,2
0,23,2,0,0,0,0,0,0,24
23,2,0,1,0,0,0,0,0,1
0,2,24,0,0,0,0,0,0,2
0,24,2,0,0,0,0,0,0,25
24,2,0,1,0,0,0,0,0,1
0,2,25,0,0,0,0,0,0,2
0,25,2,0,0,0,0,0,0,26
25,2,0,1,0,0,0,0,0,1
0,2,26,0,0,0,0,0,0,2
0,26,2,0,0,0,0,0,0,27
26,2,0,1,0,0,0,0,0,1
0,2,27,0,0,0,0,0,0,2
27,2,0,1,0,0,0,0,0,1
2,27,1,0,0,0,0,0,0,3
0,2,28,0,0,0,0,0,0,2
0,28,2,0,0,0,0,0,0,29
28,2,0,1,0,0,0,0,0,1
0,2,29,0,0,0,0,0,0,2
0,29,2,0,0,0,0,0,0,30
29,2,0,1,0,0,0,0,0,1
0,2,30,0,0,0,0,0,0,2
0,30,2,0,0,0,0,0,0,31
30,2,0,1,0,0,0,0,0,1
0,2,31,0,0,0,0,0,0,2
0,31,2,0,0,0,0,0,0,32
31,2,0,1,0,0,0,0,0,1
0,2,32,0,0,0,0,0,0,2
0,32,2,0,0,0,0,0,0,33
32,2,0,1,0,0,0,0,0,1
0,2,33,0,0,0,0,0,0,2
0,33,2,0,0,0,0,0,0,34
33,2,0,1,0,0,0,0,0,1
0,2,34,0,0,0,0,0,0,2
0,34,2,0,0,0,0,0,0,35
34,2,0,1,0,0,0,0,0,1
0,2,35,0,0,0,0,0,0,2
0,35,2,0,0,0,0,0,0,36
35,2,0,1,0,0,0,0,0,1
0,2,36,0,0,0,0,0,0,2
0,36,2,0,0,0,0,0,0,37
36,2,0,1,0,0,0,0,0,1
0,2,37,0,0,0,0,0,0,2
0,37,2,0,0,0,0,0,0,38
37,2,0,1,0,0,0,0,0,1
0,2,38,0,0,0,0,0,0,2
0,38,2,0,0,0,0,0,0,39
38,2,0,1,0,0,0,0,0,1
0,2,39,0,0,0,0,0,0,2
0,39,2,0,0,0,0,0,0,40
39,2,0,1,0,0,0,0,0,1
0,2,40,0,0,0,0,0,0,2
0,40,2,0,0,0,0,0,0,41
40,2,0,1,0,0,0,0,0,1
0,2,41,0,0,0,0,0,0,2
0,41,2,0,0,0,0,0,0,42
41,2,0,1,0,0,0,0,0,1
0,2,42,0,0,0,0,0,0,2
0,42,2,0,0,0,0,0,0,43
42,2,0,1,0,0,0,0,0,1
0,2,43,0,0,0,0,0,0,2
0,43,2,0,0,0,0,0,0,44
43,2,0,1,0,0,0,0,0,1
0,2,44,0,0,0,0,0,0,2
44,2,0,1,0,0,0,0,0,1
2,44,1,0,0,0,0,0,0,45
0,2,45,0,0,0,0,0,0,2
0,45,2,0,0,0,0,0,0,46
45,2,0,1,0,0,0,0,0,1
0,2,46,0,0,0,0,0,0,2
0,46,2,0,0,0,0,0,0,47
46,2,0,1,0,0,0,0,0,1
0,2,47,0,0,0,0,0,0,2
0,47,2,0,0,0,0,0,0,48
47,2,0,1,0,0,0,0,0,1
0,2,48,0,0,0,0,0,0,2
0,48,2,0,0,0,0,0,0,49
48,2,0,1,0,0,0,0,0,1
0,2,49,0,0,0,0,0,0,2
0,49,2,0,0,0,0,0,0,50
49,2,0,1,0,0,0,0,0,1
2,50,1,0,0,0,0,0,0,2
1,50,2,0,0,0,0,0,0,1
50,2,0,1,0,0,0,0,0,51
2,51,1,0,0,0,0,0,0,2
1,51,2,0,0,0,0,0,0,1
51,2,0,1,0,0,0,0,0,52
0,2,52,0,0,0,0,0,0,2
52,2,0,1,0,0,0,0,0,1
2,52,1,0,0,0,0,0,0,28
0,2,53,0,0,0,0,0,0,2
0,53,2,0,0,0,0,0,0,54
53,2,0,1,0,0,0,0,0,1
0,2,54,0,0,0,0,0,0,2
0,54,2,0,0,0,0,0,0,55
54,2,0,1,0,0,0,0,0,1
0,2,55,0,0,0,0,0,0,2
0,55,2,0,0,0,0,0,0,56
55,2,0,1,0,0,0,0,0,1
0,2,56,0,0,0,0,0,0,2
0,56,2,0,0,0,0,0,0,57
56,2,0,1,0,0,0,0,0,1
0,2,57,0,0,0,0,0,0,2
0,57,2,0,0,0,0,0,0,58
57,2,0,1,0,0,0,0,0,1
0,2,58,0,0,0,0,0,0,2
0,58,2,0,0,0,0,0,0,59
58,2,0,1,0,0,0,0,0,1
0,2,59,0,0,0,0,0,0,2
0,59,2,0,0,0,0,0,0,60
59,2,0,1,0,0,0,0,0,1
0,2,60,0,0,0,0,0,0,2
0,60,2,0,0,0,0,0,0,61
60,2,0,1,0,0,0,0,0,1
0,2,61,0,0,0,0,0,0,2
0,61,2,0,0,0,0,0,0,62
61,2,0,1,0,0,0,0,0,1
0,2,62,0,0,0,0,0,0,2
0,62,2,0,0,0,0,0,0,63
62,2,0,1,0,0,0,0,0,1
0,2,63,0,0,0,0,0,0,2
0,63,2,0,0,0,0,0,0,64
63,2,0,1,0,0,0,0,0,1
0,2,64,0,0,0,0,0,0,2
0,64,2,0,0,0,0,0,0,65
64,2,0,1,0,0,0,0,0,1
0,2,65,0,0,0,0,0,0,2
0,65,2,0,0,0,0,0,0,66
65,2,0,1,0,0,0,0,0,1
0,2,66,0,0,0,0,0,0,2
0,66,2,0,0,0,0,0,0,67
66,2,0,1,0,0,0,0,0,1
0,2,67,0,0,0,0,0,0,2
0,67,2,0,0,0,0,0,0,68
67,2,0,1,0,0,0,0,0,1
0,2,68,0,0,0,0,0,0,2
0,68,2,0,0,0,0,0,0,69
68,2,0,1,0,0,0,0,0,1
0,2,69,0,0,0,0,0,0,2
0,69,2,0,0,0,0,0,0,70
69,2,0,1,0,0,0,0,0,1
0,2,70,0,0,0,0,0,0,2
70,2,0,1,0,0,0,0,0,1
2,70,1,0,0,0,0,0,0,71
2,71,1,0,0,0,0,0,0,2
1,71,2,0,0,0,0,0,0,1
71,2,0,1,0,0,0,0,0,72
2,72,1,0,0,0,0,0,0,2
1,72,2,0,0,0,0,0,0,1
72,2,0,1,0,0,0,0,0,73
2,73,1,0,0,0,0,0,0,2
1,73,2,0,0,0,0,0,0,1
73,2,0,1,0,0,0,0,0,74
2,74,1,0,0,0,0,0,0,2
1,74,2,0,0,0,0,0,0,1
74,2,0,1,0,0,0,0,0,75
2,75,1,0,0,0,0,0,0,2
1,75,2,0,0,0,0,0,0,1
75,2,0,1,0,0,0,0,0,76
2,76,1,0,0,0,0,0,0,2
1,76,2,0,0,0,0,0,0,1
76,2,0,1,0,0,0,0,0,77
0,2,77,0,0,0,0,0,0,2
77,2,0,1,0,0,0,0,0,1
2,77,1,0,0,0,0,0,0,53
a,a1,a2,a3,a4,a5,a6,a7,a8,0

[unname4798]

Hello, I would like to know how to use B0 in a ruletable? Do I write it out as "1, 0,0,0,0,0,0,0,0, 1" or just "0, 0,0,0,0,0,0,0,0, 1"? Or is it something else completely. Please help!

Moore B0 is 0,0,0,0,0,0,0,0,0,1
Hexagonal B0 is 0,0,0,0,0,0,0,1
vN B0 is 0,0,0,0,0,1
1D B0 is 0,0,0,1

[Drelectron8]

Hello, I would like to know how to use B0 in a ruletable? Do I write it out as "1, 0,0,0,0,0,0,0,0, 1" or just "0, 0,0,0,0,0,0,0,0, 1"? Or is it something else completely. Please help!

Moore B0 is 0,0,0,0,0,0,0,0,0,1
Hexagonal B0 is 0,0,0,0,0,0,0,1
vN B0 is 0,0,0,0,0,1
1D B0 is 0,0,0,1

Thanks!

[Empty Emptiness]

Yeah, it's irregular, but overall linear:

Code: Select all

x = 552, y = 536, rule = B3/S23
261b3o2bo6b3o2b4o2b4o3b3o3b3o2b4o2b4o$260bo3bobo7bo3bo3bobo3bobo3bobo
3bobo3bobo3bo$260bo5bo7bo3bo3bobo3bobo3bobo3bobo3bobo3bo$260bo5bo7bo3b
4o2b4o2bo3bob5ob4o2bo3bo$260bo5bo7bo3bo5bo3bobo3bobo3bobo2bo2bo3bo$
260bo3bobo7bo3bo5bo3bobo3bobo3bobo3bobo3bo$261b3o2b5o2b3o2bo5b4o3b3o2b
o3bobo3bob4o8$bo4b3o4bo4b3o2b5o$2o3bo3bo2b2o3bo3bobo$bo7bo3bo3bo3bobo$
bo6bo4bo4b3o3b3o10bo$bo5bo5bo3bo3bo5bo9bo401bo$bo4bo6bo3bo3bobo3bo9bo
400b5o$3o2b5o2b3o3b3o3b3o10bo400b6o$37bo399b2ob4o$37bo399b2o4bo$37bo
398b2o5b2o$37bo394b2ob3o6bo$37bo394b2ob2o7b2o$37bo394b4o9bo$37bo394b3o
10bo$37bo394bo12bo$37bo393b2o12bo$37bo393bo13bo$37bo393bo13b2o$37bo
393bo14bo$37bo393bo14bo$37bo392b2o14bo$37bo392bo15bo$37bo392bo15bo$37b
o391b2o15bo$37bo391bo16bo$37bo391bo16bo$37bo390b2o16bo$37bo390b2o16bo$
37bo390bo17b2o$37bo390bo18bo$37bo390bo18bo$37bo389bo19bo$37bo388b2o19b
o$37bo388b2o19bo$37bo388bo20bo$37bo388bo20b2o$37bo387b2o21bo$37bo387bo
22bo$37bo387bo22bo$37bo386b2o22bo$37bo386bo23bo$37bo386bo23bo$37bo385b
2o23b2o$37bo382bo2b2o24bo85b3o$37bo381b2ob2o25bo85b2o$37bo381b5o25bo
84b2o$37bo381b4o26bo84bo$37bo381bobo27b2o83bo$37bo380b2o30bo82b2o$37bo
380bo31bo82b2o$37bo380bo31bo82bo$37bo380bo31bo82bo$37bo379b2o31bo81b2o
$37bo379bo32b2o80bo$37bo379bo33bo80bo$37bo378b2o33bo79b2o$37bo378bo34b
o79bo$37bo378bo34b2o78bo$37bo378bo35bo77b2o$37bo377b2o35bo77bo$37bo
377bo36bo77bo$37bo377bo36bo76b2o$37bo377bo36b2o74b2o$37bo376b2o36b2o
74bo$37bo376bo38bo74bo$37bo375b2o38bo73b2o$37bo375bo39b2o72b2o$37bo
375bo39b2o72bo$37bo374b2o40bo67bo4bo$37bo374bo41b2o66bo3b2o$37bo374bo
42bo65b3o2bo$37bo374bo42bo65bob4o$37bo373b2o42b2o64bob3o$37bo373bo44bo
64bo2bo$37bo373bo44bo63b2o$37bo372b2o44b2o62bo$37bo372bo46b2o61bo$37bo
372bo46b2o60b2o$37bo371b2o47bo60bo$37bo371bo48bo60bo$37bo371bo48bo59b
2o$37bo369b3o48b2o58bo$37bo368b4o49bo58bo$37bo368b2o51bo57b2o$37bo368b
o52bo57bo$37bo368bo52bo56b2o$37bo367b2o52bo56b2o$37bo367bo53b2o54b2o$
37bo367bo54b2o53b2o$37bo366b2o55b2o52bo$37bo366b2o55b2o51b2o$37bo366bo
57b3o49bo$37bo366bo58b3o48bo$37bo365b2o59b2o47b2o$37bo356bo8bo61bo47b
2o$37bo355b2o8bo61b3o45bo$37bo355b2o7b2o62b3o43b2o$37bo355b3o6bo64b4o
24b2o15bo$37bo354b2obo5b2o65b4o23b3o13b2o$37bo354bo2bo4b3o66bobo22b4o
11b3o$37bo354bo2b2o3b2o69bo21b2o2bo11b3o$37bo354bo2b3ob2o70bo21b2o2bo
10b3o$37bo353b2o3b4o71bo20b2o3bo10bo$37bo353b2o4b3o71b2o17b3o4bo10bo$
37bo353bo80bo16b4o4bo10bo$37bo352b2o80bo10b2o4bobo5b2o8b2o$37bo352bo
81bo10b2o3b2o8bo8bo$37bo352bo81bo9b3ob3o9bo7b2o$37bo352bo81b2o7b7o10bo
7bo$37bo351b2o81b2o3bo2b3o2b2o11b2o5b2o$37bo351bo83bo3b5o16b2o5bo$37bo
351bo83b2ob4o19bo5bo$37bo351bo84b3ob2o19b2o2b3o$37bo350b2o85bo24bob3o$
37bo349b2o111b5o$37bo349b2o111b3o$37bo349bo$37bo349bo$37bo348b2o$37bo
348b2o$37bo348bo$37bo348bo$37bo347b2o$37bo347bo$37bo347bo$37bo346b2o$
37bo346bo$37bo346bo$37bo345b2o$37bo343bobo$37bo343b3o$37bo343b3o$37bo
343bo$37bo342b2o$37bo342bo$37bo342bo$37bo342bo$37bo341bo$37bo341bo$37b
o341bo$37bo340b2o$37bo340bo$37bo340bo$37bo339b2o$37bo339bo$37bo339bo$
37bo338b2o$37bo338bo$37bo337b2o$37bo337b2o$37bo336b2o$37bo336bo$37bo
336bo$37bo335b2o$37bo335bo$37bo330b2o3bo$37bo330b2o2b2o$37bo330b2ob2o$
37bo329b6o$37bo329bo2b2o$37bo329bo$37bo329bo$37bo328b2o$37bo328bo$37bo
328bo$37bo327bo$37bo327bo$37bo304bo22bo$37bo303b3o20b2o$37bo303b3o20bo
$37bo303bobo20bo$37bo302b2obo19b2o$37bo302bo2bo18b2o$37bo301b2o2bo18b
2o$37bo301bo3b2o17bo$37bo301bo4bo16b2o$37bo301bo4bo16bo$37bo300b2o4bo
16bo$37bo300bo5bo16bo$37bo300bo5b2o14bo$37bo299b2o6bo14bo$37bo299bo7bo
13b2o$37bo298b2o7b2o12bo$37bo298bo9bo8b2ob2o$37bo298bo9bo8b2obo$37bo
298bo9b2o7b2obo$37bo297b2o10b3o3b6o$37bo297bo11b3o2b3o2bo$37bo297bo12b
6o$37bo297bo14b2o$37bo296bo15b2o$37bo296bo$37bo296bo$37bo295bo$37bo
295bo$37bo295bo$37bo294b2o$37bo292bobo$37bo292b3o$37bo292b3o$37bo291b
2o$37bo291bo$37bo291bo$37bo291bo$37bo290b2o$37bo290bo$37bo290bo$37bo
289b2o$37bo289bo$37bo289bo$37bo288b2o$37bo288bo$37bo288bo$37bo287b2o$
37bo287bo$37bo287bo$37bo286b2o$37bo286bo$37bo285b2o$37bo285bo$37bo285b
o$37bo284b2o$37bo284bo$37bo279b2o3bo$20b7o10bo279b2o2b2o$23bo13bo278b
3ob2o$22bo14bo278bob4o$21bo15bo278bob3o$20b7o10bo278bo$37bo278bo$21b5o
11bo277bo$20bo5bo10bo277bo$20bo5bo10bo276b2o$20bo5bo10bo276bo$21b5o11b
o276bo$37bo275b2o$37bo275bo$20bo5bo10bo275bo$20b7o10bo275bo$20bo5bo10b
o274b2o$37bo273b2o$37bo273b2o$20bo16bo272b2o$20bo16bo272b2o$20b7o10bo
272bo$20bo16bo272bo$20bo16bo271b2o$37bo271bo$21b6o10bo270b2o$20bo2bo
13bo270b2o$20bo2bo13bo270bo$20bo2bo13bo269b2o$21b6o10bo269bo$37bo267bo
bo$26bo10bo266b4o$26bo10bo200bo65b3o$26bo10bo199b3o64bo$26bo10bo198b5o
62bo$20b7o10bo196b3o3bo62bo$37bo196b3o3bo50bo11bo$20b6o11bo196b2o4b2o
49b2o9b2o$26bo10bo196bo6bo48b3o9bo$26bo10bo195b2o6bo48b3o8b2o$26bo10bo
195bo7bo48bobo8bo$20b6o11bo195bo7bo47b2ob2o6b2o$37bo195bo7bo47bo3bo6b
2o$21b2o14bo194bo8bo47bo3bo6bo$20bo2bo13bo194bo8bo46b2o3b2o3b3o$20bo2b
o13bo194bo8b2o45b2o3b2o2b4o$20bo2bo13bo193b2o9bo45bo5b6o$20b7o10bo193b
o10bo45bo6b3o$37bo193bo10bo44b2o$21b5o11bo192b2o10bo44bo$20bo5bo10bo
192bo11bo44bo$20bo5bo10bo192bo11bo43b2o$20bo5bo10bo190b3o11bo42b2o$21b
5o11bo189b3o12b2o41b2o$37bo189b3o13bo41bo$21b2o14bo189bo15bo40b2o$20bo
2bo13bo189bo15bo40bo$20bo2bo13bo188b2o15bo40bo$20bo2bo13bo188bo17bo38b
2o$20b7o10bo188bo17bo38bo$37bo188bo17bo38bo$37bo187b2o17bo37b2o$37bo
187bo18b2o36bo$37bo186b2o19bo35b2o$37bo186bo20bo33bobo$37bo186bo20b2o
32b3o$37bo186bo20b2o31b4o$37bo185bo22bo31bo$37bo185bo22b2o30bo$37bo
185bo23bo29b2o$37bo183b3o23bo29bo$37bo183b2o24bo29bo$37bo183bo25b2o27b
2o$37bo183bo26bo27bo$37bo182b2o26b2o25b2o$37bo182bo27b3o24bo$37bo182bo
28b2o24bo$37bo177bo4bo29b2o22b2o$37bo176b2o3bo30b4o11b2o7bo$37bo176b3o
b2o32b2o11b2o6b2o$37bo176b6o33bo11b2o5b3o$37bo176bob3o34b2o8b5o4bo$37b
o175b2obo37bo7b3o2bo4bo$37bo175bo40bo4b5o3bo3b2o$37bo175bo40bo3b5o4bo
3bo$37bo174b2o40b5o2bo5bo2b2o$37bo174b2o41b3o9b5o$37bo174bo55b3o$37bo
174bo$37bo173b2o$37bo173bo$37bo172b2o$37bo172b2o$37bo172bo$37bo172bo$
37bo171b2o$37bo170b2o$37bo170bo$37bo170bo$37bo169b2o$37bo169bo$37bo
169bo$37bo168b2o$37bo168bo$37bo168bo$37bo167bo$37bo167bo$37bo166b2o$
37bo164b3o$37bo163b4o$37bo163bo$37bo163bo$37bo163bo$37bo162b2o$37bo
150b2o10bo$37bo150b3o9bo$37bo150b3o8b2o$37bo150bobo8bo$37bo149b2obo7b
2o$37bo149bo2bo7bo$37bo148b2o2bo7bo$37bo148b2o3bo4b3o$37bo148bo4b2o2b
3o$37bo148bo4b2ob4o$37bo147bo6b4o$37bo147bo7b2o$37bo147bo$37bo146b2o$
37bo146bo$37bo145b2o$37bo145b2o$37bo144b2o$37bo144bo$37bo144bo$37bo
143b2o$37bo143bo$37bo143bo$37bo142b2o$37bo142b2o$37bo141b2o$37bo141b2o
$37bo139bobo$37bo138b4o$37bo138b3o$37bo138b3o$37bo137b2o$37bo137bo$37b
o137bo$37bo137bo$37bo136b2o$37bo135b2o$37bo135b2o$37bo135bo$37bo134b2o
$37bo134bo$37bo134bo$37bo132b3o$37bo99b2o31b2o$37bo98b3o31bo$37bo97b4o
30b2o$37bo97b2obo24b2o4bo$37bo96b2o2bo24b2o4bo$37bo96bo3bo24b2o3bo$37b
o96bo4bo22b4ob2o$37bo96bo4bo22bo2b4o$37bo95b2o4bo22bo2b3o$37bo95bo5bo
21b2o$37bo94b2o5bo21bo$37bo94b2o5bo20b2o$37bo93b2o6b2o19bo$37bo93bo8bo
19bo$37bo93bo8bo18b2o$37bo92b2o8bo18bo$37bo92bo9b2o16b2o$37bo92bo10bo
15b3o$37bo91b2o10bo15b2o$37bo91bo11b2o13b2o$37bo90b2o11b2o13bo$37bo90b
2o12bo13bo$37bo90bo13b3o10b2o$37bo87bob2o14b3o9bo$37bo87b3o15b3o4b2o2b
2o$37bo87b3o17bo2b4o2bo$37bo86b2o19b10o$37bo86bo20b4o3b2o$37bo86bo27b
2o$37bo86bo$37bo85bo$37bo85bo$37bo84b2o$37bo84bo$37bo83b2o$37bo83bo$
37bo83bo$37bo82b2o$37bo81b2o$37bo81b2o$37bo80b2o$37bo75bo4bo$37bo74b2o
3b2o$37bo74b2o3b2o$37bo73b3o3bo$37bo73bob5o$37bo73bo2b3o$37bo72b2o2b2o
$37bo72bo$37bo72bo$37bo71bo$37bo71bo$37bo70b2o$37bo70bo$37bo70bo$37bo
68b3o$37bo68b2o$37bo67b2o$37bo67bo$37bo67bo$37bo67bo$37bo66bo$37bo65b
2o$37bo48b2o15bo$37bo48b2o12bob2o$37bo47b3o11b2obo$37bo47bobo11b4o$37b
o46b2obo11bobo$37bo46bo3bo9b2o$37bo46bo3bo9bo$37bo45b2o3bo8b2o$37bo45b
o4bo7b2o$37bo44b2o4b2o6b2o$37bo44b2o5b2o5bo$37bo44bo6b2o2bob2o$37bo42b
3o7b6o$37bo42b2o8b6o$37bo42bo13bo$37bo41b2o$37bo41bo$37bo41bo$37bo40b
2o$37bo39b2o$37bo36bo2bo$37bo36bob2o$37bo35b4o$37bo35bob2o$37bo35bo$
37bo34b2o$37bo34bo$37bo33b2o$37bo33bo$37bo32b2o$37bo32bo$37bo23bo7b2o$
37bo22b3o5b2o$37bo22b3o4b3o$37bo22bobo4bo$37bo22bobo3b2o$37bo21bo2b3ob
o$37bo20b2o3b4o$37bo20bo5b2o$37bo19b2o$37bo19bo$37bo18b2o$37bo17b2o$
37bo16b3o$37bo16bo$37bo15b2o$37bo15bo$37bo10b2o2b2o$37bo10b2ob2o$37bo
9b5o$37bo9bo2bo$37bo8b2o$37bo7b2o$37bo6b2o$37bo4bob2o$37bo3b4o$17b3o3b
3o11bo3bobo$16bo3bobo3bo10bo2b2o$20bobo3bo10bob2o$18b2o3b4o10b3o$20bo
5bo10b501o$16bo3bo5bo$17b3o3b3o8$35b3o185b3o2b5obo3bob5ob4o3b3o2b5o2b
3o3b3o2bo3bo10bo34bo4b3o4bo4b3o3bo175bo4b3o3b3o3b3o3b3o$34bo3bo183bo3b
obo5b2o2bobo5bo3bobo3bo3bo5bo3bo3bob2o2bo9bo11bo22b2o3bo3bo2bobo2bo3bo
3bo173b2o3bo3bobo3bobo3bobo3bo$34bo2b2o183bo5bo5bobobobo5bo3bobo3bo3bo
5bo3bo3bobobobo9bo4b4ob5o2b3o2b4o2b5o3bo3bo2b2obo3bobo2b2o3bo174bo3bo
2b2obo2b2obo2b2obo2b2o$34bobobo183bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo
3bobo2b2o9bo3bo7bo3bo3bobo3bo9bo3bobobo7bobobo3bo174bo3bobobobobobobob
obobobobo$34b2o2bo183bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b
3o4bo3b5obo3bob5o3bo3b2o2bo7b2o2bo3bo174bo3b2o2bob2o2bob2o2bob2o2bo$
34bo3bo183bo3bobo5bo3bobo5bo3bobo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3b
o9bo3bo3bo7bo3bo3bo174bo3bo3bobo3bobo3bobo3bo$35b3o185b3o2b5obo3bob5ob
o3bobo3bo3bo4b3o3b3o2bo3bo10bo2b4o5b2o2b4ob4o9b3o3b3o9b3o3bo174b3o3b3o
3b3o3b3o3b3o$312bo$312bo!

I wonder how many gliders that shoots out.

[muzik]

Is a glider loop possible?

Code: Select all

x = 108, y = 35, rule = B367c/S2-i34q
15bo67bo2$14bobo65bobo$3b2o5b2o8b2o49b2o5b2o8b2o$3b2o4b2obo3bo4bo49b2o
4b2obo3bo4bo$10b2o6bobo57b2o6bobo$14bobo65bobo2$15bo67bo$2b2o66b2o$bo
2bo10b3o51bo2bo10b3o$4bo10bo56bo10bo$16bo67bo$2b3o65b3o$o5bo61bo5bo$o
5bo61bo5bo$obobobo61bobobobo3$2b3o65b3o$2bobo65bobo$3bo22b3o42bo22b3o$
26bo67bo$27bo67bo$14bo67bo$13b3o2bo62b3o2bo$2b2o8bob2o3bo50b2o8bob2o3b
o$2b2o4b5o5bobo4b2o43b2o4b5o5bobo4b2o$8b3obob2o3bo5b2o49b3obob2o3bo5b
2o$13b3o2bo62b3o2bo$14bo67bo2$105b3o$105bo$106bo!

[H. H. P. M. P. Cole]

Is a glider loop possible?

Code: Select all

x = 108, y = 35, rule = B367c/S2-i34q
15bo67bo2$14bobo65bobo$3b2o5b2o8b2o49b2o5b2o8b2o$3b2o4b2obo3bo4bo49b2o
4b2obo3bo4bo$10b2o6bobo57b2o6bobo$14bobo65bobo2$15bo67bo$2b2o66b2o$bo
2bo10b3o51bo2bo10b3o$4bo10bo56bo10bo$16bo67bo$2b3o65b3o$o5bo61bo5bo$o
5bo61bo5bo$obobobo61bobobobo3$2b3o65b3o$2bobo65bobo$3bo22b3o42bo22b3o$
26bo67bo$27bo67bo$14bo67bo$13b3o2bo62b3o2bo$2b2o8bob2o3bo50b2o8bob2o3b
o$2b2o4b5o5bobo4b2o43b2o4b5o5bobo4b2o$8b3obob2o3bo5b2o49b3obob2o3bo5b
2o$13b3o2bo62b3o2bo$14bo67bo2$105b3o$105bo$106bo!

p66 and p132 glider loops:

Code: Select all

x = 170, y = 78, rule = B367c/S2-i34q
38b3o89b3o$44bo91bo$27b2o5b2o2bo2bo3bo73b2o5b2o2bo2bo3bo$27b2o4bobo5b
o3bo4b2o67b2o4bobo5bo3bo4b2o$34b2o2bo2bob2o5b2o74b2o2bo2bob2o5b2o2$38b
3o89b3o2$26b2o90b2o$26b2o22bo67b2o22bo$26b2o21b3o66b2o21b3o$27bo6bo14b
obo67bo21bobo$26b3o4bo16bo67b3o21bo$25bo3bo3b3o81bo3bo$24b3ob3o17bo3b
o63b3ob3o17bo3bo$25b2ob2o16bo7bo62b2ob2o16bo7bo$48bobobo87bobobo2$25b
obobo19bo67bobobo19bo$26bobo89bobo$27bo21bobo67bo21bobo$37b3o10b2o77b
3o10b2o$39bo91bo$9bo28bo62bo28bo$57bo91bo$8bobo15b2o28b3o2bo38bobo15b
2o28b3o2bo$3b2o8b2o5b2o4b2o23b3obob2o3bo5b2o25b2o8b2o5b2o4b2o23b3obob
2o3bo5b2o$3bo4bo3bob2o4b2o29b5o5bobo4b2o4b2o19bo4bo3bob2o4b2o29b5o5bo
bo4b2o4b2o$4bobo6b2o40bob2o3bo10bo2bo19bobo6b2o40bob2o3bo10bo2bo$8bob
o35bobo7b3o2bo11bo26bobo35bobo7b3o2bo11bo$47b2o8bo81b2o8bo$9bo37bo25b
3o25bo37bo25b3o$2b2o67bo5bo16b2o67bo5bo$2b2o8bobo56bo5bo16b2o8bobo56b
o5bo$11bo2bo56bobobobo25bo2bo56bobobobo$12bo91bo$13bo91bo$21b2o50b3o89b
3o$3bo16bobo32bo17bobo19bo51bo17bobo$2bobo17bo32bobo16bo19bobo50bobo16b
o$2b3o50b2o37b3o50b2o$64bo$65bo$obobobo56bo2bo25bobobobo$o5bo56bobo8b
2o16bo5bo67b2o$o5bo67b2o16bo5bo67b2o$2b3o25bo37bo25b3o63bo$20bo8b2o81b
o$4bo11bo2b3o7bobo35bobo26bo11bo2b3o45bobo$bo2bo10bo3b2obo40b2o6bobo19b
o2bo10bo3b2obo40b2o6bobo$2b2o4b2o4bobo5b5o29b2o4b2obo3bo4bo19b2o4b2o4b
obo5b5o29b2o4b2obo3bo4bo$8b2o5bo3b2obob3o23b2o4b2o5b2o8b2o25b2o5bo3b2o
bob3o23b2o4b2o5b2o8b2o$16bo2b3o28b2o15bobo38bo2b3o28b2o15bobo$20bo91b
o$39bo28bo91bo$38bo$26b2o10b3o77b2o$26bobo21bo67bobo21bo$49bobo89bobo
$28bo19bobobo67bo19bobobo2$25bobobo87bobobo$23bo7bo16b2ob2o62bo7bo16b
2ob2o$25bo3bo17b3ob3o63bo3bo17b3ob3o$42b3o3bo3bo81b3o3bo3bo$27bo16bo4b
3o67bo16bo4b3o$26bobo14bo6bo67bobo14bo6bo$26b3o21b2o66b3o21b2o$27bo22b
2o67bo22b2o$50b2o90b2o2$37b3o89b3o2$26b2o5b2obo2bo2b2o74b2o5b2obo2bo2b
2o$26b2o4bo3bo5bobo4b2o67b2o4bo3bo5bobo4b2o$32bo3bo2bo2b2o5b2o73bo3bo
2bo2b2o5b2o$33bo91bo$37b3o89b3o!

p22, p44, p88, and p110 are not possible due to the gliders crashing into each other. However, p66 and all p22n periods where n >= 6 are:

Code: Select all

x = 272, y = 79, rule = B367c/S2-i34q
45b3o67b3o67b3o67b3o$51bo69bo69bo69bo$34b2o5b2o2bo2bo3bo51b2o5b2o2bo2b
o3bo51b2o5b2o2bo2bo3bo51b2o5b2o2bo2bo3bo$34b2o4bobo5bo3bo4b2o45b2o4bo
bo5bo3bo4b2o45b2o4bobo5bo3bo4b2o45b2o4bobo5bo3bo4b2o$41b2o2bo2bob2o5b
2o52b2o2bo2bob2o5b2o52b2o2bo2bob2o5b2o52b2o2bo2bob2o5b2o2$45b3o67b3o67b
3o67b3o2$33b2o68b2o68b2o68b2o$33b2o22bo45b2o22bo45b2o22bo45b2o22bo$33b
2o21b3o44b2o21b3o44b2o21b3o44b2o21b3o$34bo21bobo45bo21bobo45bo21bobo45b
o21bobo$33b3o21bo45b3o21bo45b3o21bo45b3o21bo$32bo3bo65bo3bo65bo3bo65b
o3bo$31b3ob3o17bo3bo41b3ob3o17bo3bo41b3ob3o17bo3bo41b3ob3o17bo3bo$32b
2ob2o16bo7bo40b2ob2o16bo7bo40b2ob2o16bo7bo40b2ob2o16bo7bo$55bobobo65b
obobo65bobobo65bobobo2$32bobobo19bo45bobobo19bo45bobobo19bo45bobobo19b
o$33bobo67bobo67bobo67bobo$34bo21bobo45bo21bobo45bo21bobo45bo21bobo$44b
3o10b2o55b3o10b2o55b3o10b2o55b3o10b2o$46bo69bo69bo69bo$45bo69bo69bo69b
o2$33b2o68b2o68b2o68b2o$33b2o4b2o62b2o68b2o68b2o$38bobo$40bo4$33b3o67b
3o$35bo69bo$34bo69bo3$28b2o$27bobo$29bo4$22b3o67b3o67b3o$24bo69bo69bo
$23bo69bo69bo3$17b2o208b2o$16bobo207bobo$18bo209bo4$11b3o67b3o$13bo69b
o$12bo69bo3$6b2o$5bobo$7bo4$3o67b3o67b3o$2bo69bo69bo$bo69bo69bo9$199b
3o$201bo$200bo!

Code: Select all

x = 240, y = 68, rule = B367c/S2-i34q
34b3o60b3o60b3o60b3o$40bo62bo62bo62bo$23b2o5b2o2bo2bo3bo44b2o5b2o2bo2b
o3bo44b2o5b2o2bo2bo3bo44b2o5b2o2bo2bo3bo$23b2o4bobo5bo3bo4b2o38b2o4bo
bo5bo3bo4b2o38b2o4bobo5bo3bo4b2o38b2o4bobo5bo3bo4b2o$30b2o2bo2bob2o5b
2o45b2o2bo2bob2o5b2o45b2o2bo2bob2o5b2o45b2o2bo2bob2o5b2o2$34b3o60b3o60b
3o60b3o2$22b2o61b2o61b2o61b2o$22b2o22bo38b2o22bo38b2o22bo38b2o22bo$22b
2o21b3o37b2o21b3o37b2o21b3o37b2o21b3o$23bo21bobo38bo21bobo38bo21bobo38b
o21bobo$22b3o21bo38b3o21bo38b3o21bo38b3o21bo$21bo3bo58bo3bo58bo3bo58b
o3bo$20b3ob3o17bo3bo34b3ob3o17bo3bo34b3ob3o17bo3bo34b3ob3o17bo3bo$21b
2ob2o16bo7bo33b2ob2o16bo7bo33b2ob2o16bo7bo33b2ob2o16bo7bo$44bobobo58b
obobo58bobobo58bobobo2$21bobobo19bo38bobobo19bo38bobobo19bo38bobobo19b
o$22bobo60bobo60bobo60bobo$23bo21bobo38bo21bobo38bo21bobo38bo21bobo$33b
3o10b2o48b3o10b2o48b3o10b2o48b3o10b2o$35bo62bo62bo62bo$34bo62bo62bo62b
o2$22b2o61b2o61b2o61b2o$22b2o61b2o61b2o61b2o11$17b2o$16bobo$18bo15$3o
60b3o$2bo62bo$bo62bo3$121b2o$120bobo$122bo4$178b3o$180bo$179bo!

[confocaloid]

Deleting one glider from a p22-assisted p22 glider loop with 10 circulating gliders:

Code: Select all

x = 46, y = 52, rule = B367c/S2-i34q
43bo$42bo$42b3o2$20bo2$19bobo$8b2o5b2o8b2o$8b2o4b2obo3bo4bo$15b2o6bobo
$19bobo2$20bo2$20b3o$20bo$21bo$14bobo$2b2o10b2o$2bo12bo10b2o14b2o$3bo
22bobo13b2o$26bo$4bo5bo$9bo$obobobob3o$31b3o7b3o$31bo9bobo$3bo28bo8b3o
$2b3o8bo28bo$2bobo9bo$2b3o7b3o$35b3obobobobo$36bo$35bo5bo$19bo$2b2o13b
obo22bo$2b2o14b2o10bo12bo$30b2o10b2o$29bobo$24bo$25bo$23b3o2$25bo2$24b
obo$20bobo6b2o$19bo4bo3bob2o4b2o$19b2o8b2o5b2o$24bobo2$25bo!

Is a glider loop possible?

Code: Select all

x = 108, y = 35, rule = B367c/S2-i34q
15bo67bo2$14bobo65bobo$3b2o5b2o8b2o49b2o5b2o8b2o$3b2o4b2obo3bo4bo49b2o
4b2obo3bo4bo$10b2o6bobo57b2o6bobo$14bobo65bobo2$15bo67bo$2b2o66b2o$bo
2bo10b3o51bo2bo10b3o$4bo10bo56bo10bo$16bo67bo$2b3o65b3o$o5bo61bo5bo$o
5bo61bo5bo$obobobo61bobobobo3$2b3o65b3o$2bobo65bobo$3bo22b3o42bo22b3o$
26bo67bo$27bo67bo$14bo67bo$13b3o2bo62b3o2bo$2b2o8bob2o3bo50b2o8bob2o3b
o$2b2o4b5o5bobo4b2o43b2o4b5o5bobo4b2o$8b3obob2o3bo5b2o49b3obob2o3bo5b
2o$13b3o2bo62b3o2bo$14bo67bo2$105b3o$105bo$106bo!

[muzik]

Can this spaceship exist in a higher-range rule which is not an alternating rule and without using paste commands?

Code: Select all

x = 1, y = 1, rule = B/S
!
[[
PASTET EVERY 2 0 PASTEDELTA 2 2 PASTE bo$b3o$3o$2bo! 0 0
PASTET EVERY 2 1 PASTEDELTA 2 2 PASTE 2bo$3o$b3o$bo! 1 1
]]

[pifricted]

Can this spaceship exist in a higher-range rule which is not an alternating rule and without using paste commands?

Code: Select all

x = 1, y = 1, rule = B/S
!
[[
PASTET EVERY 2 0 PASTEDELTA 2 2 PASTE bo$b3o$3o$2bo! 0 0
PASTET EVERY 2 1 PASTEDELTA 2 2 PASTE 2bo$3o$b3o$bo! 1 1
]]

Code: Select all

x = 4, y = 4, rule = R2,C2,S3,12,B4,13,NW01010100000108010000010100000000000000000000000000
2bo$3o$b3o$bo!

[confocaloid]

Here:

Code: Select all

x = 4, y = 4, rule = R2,C0,S10,14,20,22,24,26,28,B7,11,15,21,23,27,29,NW01040000000200100000000800000000000000000000000000
bo$b3o$3o$2bo!

This is a range-2 non-isotropic cellular automaton with a "boat-shaped" weighted neighbourhood:
01 04 00 00 00
02 00 16 00 00
00 08 00 00 00
00 00 00 00 00
00 00 00 00 00
Available living conditions in this rulespace are S0 through S31 and B0 through B31.
It might be possible to reduce the neighbourhood further below 5 cells.

Can this spaceship exist in a higher-range rule which is not an alternating rule and without using paste commands?

Code: Select all

x = 1, y = 1, rule = B/S
!
[[
PASTET EVERY 2 0 PASTEDELTA 2 2 PASTE bo$b3o$3o$2bo! 0 0
PASTET EVERY 2 1 PASTEDELTA 2 2 PASTE 2bo$3o$b3o$bo! 1 1
]]

[pifricted]

Here:

Code: Select all

x = 4, y = 4, rule = R2,C0,S10,14,20,22,24,26,28,B7,11,15,21,23,27,29,NW01040000000200100000000800000000000000000000000000
bo$b3o$3o$2bo!

This is a range-2 non-isotropic cellular automaton with a "boat-shaped" weighted neighbourhood:
01 04 00 00 00
02 00 16 00 00
00 08 00 00 00
00 00 00 00 00
00 00 00 00 00
Available living conditions in this rulespace are S0 through S31 and B0 through B31.
It might be possible to reduce the neighbourhood further below 5 cells.

Look like shift-hexagonal neighbourhood.

Mine:
01 01 01 00 00
01 08 01 00 00
01 01 00 00 00
00 00 00 00 00
00 00 00 00 00

edit:

It might be possible to reduce the neighbourhood further below 5 cells.

4 cells:

Code: Select all

x = 4, y = 4, rule = R2,C2,S2-3,B2-3,NW00010000000100010000000100000000000000000000000000
2bo$3o$b3o$bo!

00 01 00 00 00
01 00 01 00 00
00 01 00 00 00
00 00 00 00 00
00 00 00 00 00

[confocaloid]

https://conwaylife.com/w/index.php?diff ... did=150914

I agree with the preceding change, and disagree with the linked revert. The oscillator is rotating, but it isn't a RRO in any useful sense.

Here is the oscillator in question (period 160, mod 40, Rot90CW), with visible reaction envelope:

Code: Select all

x = 18, y = 18, rule = B3/S2-i34qHistory
10.B$5.B3.4B$4.3B.6B$3.12B$2.14B$.16B$.15B$11B2A2B$.8BA6B$2.6B2ABA5B$
3.5BA9B$2.6BA8B$.16B$2.14B$3.12B$4.6B.3B$5.4B3.B$7.B!

[unname4798]

https://conwaylife.com/w/index.php?diff ... did=150914

I agree with the preceding change, and disagree with the linked revert. The oscillator is rotating, but it isn't a RRO in any useful sense.

Here is the oscillator in question (period 160, mod 40, Rot90CW), with visible reaction envelope:

Code: Select all

x = 18, y = 18, rule = B3/S2-i34qHistory
10.B$5.B3.4B$4.3B.6B$3.12B$2.14B$.16B$.15B$11B2A2B$.8BA6B$2.6B2ABA5B$
3.5BA9B$2.6BA8B$.16B$2.14B$3.12B$4.6B.3B$5.4B3.B$7.B!

This oscillator is not a RRO, despite being a no-reflector rotating oscillator. The term "no-reflector rotating oscillator" is a synonym of "RRO".
We proved that 1=0.

[confocaloid]

[...] The term "no-reflector rotating oscillator" is a synonym of "RRO". [...]

(1) As far as I know, the phrase 'no-reflector rotating oscillator' is not a commonly accepted term.

(2) The concept of a reflectorless rotating oscillator is more restrictive than just "a rotating oscillator that doesn't involve any reflectors".
It would be useless to have an overly inclusive definition that would allow e.g. the blinker.

A RRO (or "looping spaceship") is an oscillator that rotates itself after a certain number of ticks, with the additional constraint that it must be possible to combine two or more non-interacting instances of the oscillator into a lower-period oscillator, with the same reaction envelope, and with a period equal to a divisor of the original period.

In other words, a RRO must be statorless and loopable. This combination of properties is what makes them interesting, as a type of oscillators.

Otherwise, one can say "statorless rotating oscillator" to refer to a statorless oscillator that rotates over a fraction of its period, and in general one can say "rotating oscillator with period p and mod m" (where p is a multiple of m), or just "rotating oscillator".

Neither of the following oscillators is a RRO, even though all of them are rotating oscillators:

Code: Select all

x = 51, y = 21, rule = B3/S23
39bo$38bobo2$36bo3b2o$35bo5bo$o15b2o18bobo$o15b2o20b2o6bo$o45bo$14b4o
14bo5b2o4b3o$10b2obo4bo13bo11b2o$10b2obo2bobo11b3o7b2o2b2o2b3o$13bo3b
2ob2o8b2o6bob2o4b3o$13bobo2bob2o8b2o2b3obobo5b3o$14b4o14b3o$32b3o6bo$
14b2o24bobo$14b2o$38bo3b2o$37bo5bo$38bobo$40b2o!

[Haycat2009]

This is not really a question...

Can someone help with the tutorial for custom rules?