BSFKL Rule 067 (B1/S345678/F2378/K468/L03568)

[I6_I6]

This is an interesting rule in the BSFKL rulespace. I think it is interesting enough to merit a dedicated thread for its exploration, especially since BSFKL rules are not as thoroughly researched.

It was devised by Brian Prentice in 2014:
https://conwaylife.com/forums/viewtopic ... 960#p12960

BSFKL rules are not yet natively supported in LifeViewer or Golly, so here is the rule table:

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@RULE B1S345678F2378K468L03568

@TREE

num_states=3
num_neighbors=8
num_nodes=107
1 0 2 0
1 0 2 2
2 0 1 0
2 1 1 1
3 2 3 2
1 0 1 0
2 1 5 1
1 1 2 2
2 1 1 7
3 3 6 8
2 0 7 0
3 2 8 10
4 4 9 11
1 0 1 2
2 5 13 5
3 6 14 6
2 7 1 7
3 8 6 16
4 9 15 17
1 0 0 0
2 0 7 19
3 10 16 20
4 11 17 21
5 12 18 22
2 13 5 13
3 14 24 14
4 15 25 15
1 0 0 2
2 7 1 27
3 16 6 28
4 17 15 29
5 18 26 30
2 19 27 0
3 20 28 32
4 21 29 33
5 22 30 34
6 23 31 35
2 5 5 5
3 24 37 24
4 25 38 25
2 1 5 27
3 6 14 40
4 15 25 41
5 26 39 42
2 27 27 1
3 28 40 44
4 29 41 45
5 30 42 46
6 31 43 47
2 0 1 19
3 32 44 49
4 33 45 50
5 34 46 51
6 35 47 52
7 36 48 53
3 37 14 37
4 38 55 38
2 5 13 19
3 14 24 57
4 25 38 58
5 39 56 59
2 27 19 1
3 40 57 61
4 41 58 62
5 42 59 63
6 43 60 64
2 1 1 27
3 44 61 66
4 45 62 67
5 46 63 68
6 47 64 69
7 48 65 70
3 49 66 32
4 50 67 72
5 51 68 73
6 52 69 74
7 53 70 75
8 54 71 76
4 55 25 55
2 13 5 27
3 24 37 79
4 38 55 80
5 56 78 81
2 19 27 5
3 57 79 83
4 58 80 84
5 59 81 85
6 60 82 86
3 61 83 40
4 62 84 88
5 63 85 89
6 64 86 90
7 65 87 91
2 27 27 7
3 66 40 93
4 67 88 94
5 68 89 95
6 69 90 96
7 70 91 97
8 71 92 98
3 32 93 20
4 72 94 100
5 73 95 101
6 74 96 102
7 75 97 103
8 76 98 104
9 77 99 105

Previous research on this rule can be found in pages 3, 4 and 5of the BSFK rulespace thread.

Behavior

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#R B1S345678F2378K468L03568
!
[[ RANDOMIZE ]]

Soups in this rule tend to form clumps of stationary objects at the center, while also emitting a very large amount of spaceships. Live cells (state 1) are very stable, so the destructive cells (state 2) are what cause the activity. The spaceships emitted from soups have different speeds, so fast ships can catch up to slow ones far away from the source of the soup, occasionally creating small clumps of objects or ships that travel back to the source of the soup, keeping the activity going. Soups in this rule last long because spaceships continuously bounce around between stable regions. I think this rule is apgsearchable, but it'll be slow due to the abundance of growth patterns and the long lifespan of soups.

Still lifes
Still lifes are abundant and come in many shapes and sizes, but they all have the same general structure. They consist of a stable live "core" with destructive cells attached to them. The cores are usually made from rectangles or cross motifs, sometimes fused together. In other cases, they're just blobs.

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x = 21, y = 11, rule = B1S345678F2378K468L03568
.A5.A4.2A4.3A$3A3.3A3.3A3.3A$.A5.2A4.2A4.A6$2A3.3A3.4A3.3A$2A3.3A3.4A
3.3A$18.3A!

Live rectangles of all sizes are stable, which means a simple agar exists:

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x = 32, y = 32, rule = B1S345678F2378K468L03568:T32,32
32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A
$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A$32A!

The most common still life seems to be a block with destructive cells stuck to each corner (a.k.a. "extended block"):

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x = 4, y = 4, rule = B1S345678F2378K468L03568
B2.B$.2A$.2A$B2.B!

The cores are extremely resilient; in fact, it seems to be physically impossible to damage them from the outside. This property can be both useful and annoying.

Oscillators
Oscillators are similar to the SLs in this rule in that they also have cores, but there are rotors attached to them instead of only destructive cells.
Here is an incomplete collection:

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x = 74, y = 230, rule = B1S345678F2378K468L03568
B.B4.2A12.BA8.2A$B.B4.2A12.2B8.2A$3B6.B8.2A13.B$2.B5.2B2.B5.2A.2B7.B$
2.B6.A.B.2A4.A9.A3.A$8.3A2.2A4.2A2.2A3.3A.B.2A$9.A9.2A2.2A4.3A2.2A$
30.2A7$3B4.B.B8.A$B7.A8.3A$3B4.3A3.2A.B.A$2.B5.A4.2A3.B2.A$3B12.B3.B
3A$21.A$20.B$18.B$19.2A$19.2A7$3B4.2A3.B7.2A11.2A15.A11.2A6.A$B6.2A4.
A6.2A11.3AB12.3A10.2A5.3A$3B6.A.4A4.B2.A9.B.A.2B10.A.A7.A.2B8.A.B$B.B
10.A6.A3.B8.B2.B.2A.A4.3A.B6.3AB8.BAB$3B9.3A3.2A2.A.A.2A5.ABAB.5A3.2A
4.2A4.A3.2B$13.A4.2A.B.5A9.B.A.A6.B3.2A5.2A.B.2A$21.A.2A13.2B9.B2.2A
6.2A2.2A5.B$20.3A24.2A11.2A10.2A$21.A25.2A23.2A7$3B19.2A$2.B6.2B9.B3A
$2.B5.B.A.A6.2B.A.B$2.B5.6A3.2A.A3B$2.B5.B.A.A4.2A3.A$9.2B8.B8$3B6.B
13.2A$B.B4.2A4.B9.2A$3B4.2A.B3.2A3.2A.B$B.B7.A.B.2A3.2A.A.2A$3B6.3A9.
2B.2A.2A$10.A11.B4.2A$21.A.B2.B$21.AB.B$25.2A$25.2A7$3B9.2A$B.B5.A.B.
2A$3B4.3A2B2.B$2.B5.A2.BA$3B7.2B$8.A$7.3A$8.A7$B.3B5.A.A.B$B.B.B4.5AB
3.2A$B.B.B5.A.A.B3.2A$B.B.B7.B4.B$B.3B9.B2.B$15.2A$15.2A7$B.B$B.B$B.B
4.3B$B.B5.A2.BA$B.B4.4A.B$8.A.2A2.B$12.2A$12.2A7$B.3B16.A.A$B3.B7.AB
6.5A2.2A$B.3B5.B2.A.B5.A.A.B.2A$B.B6.B.4A8.B2.A$B.3B5.2A.2A14.2A$11.
2A16.2A$28.B$24.B2.B$25.2A$25.2A7$B.3B14.2A$B3.B4.2A8.2A$B.3B4.2A7.A$
B3.B6.2B$B.3B7.BA$9.2A$9.2A$11.B$11.B$9.2A$9.2A7$B.B.B$B.B.B7.B$B.3B
5.B.A.B$B3.B6.3A$B3.B6.3A7$B.3B$B.B8.B8.B3.BA$B.3B4.2A7.2A4.2B$B3.B4.
2A.B5.2A2.B2.B$B.3B5.2A8.B2.2A$9.2A.B10.2A2.B$9.2A11.B2.B2.2A$11.B10.
2B4.2A$22.AB3.B8$B.3B$B.B$B.3B12.BA$B.B.B5.B2.BA4B$B.3B6.2A.B.A.BA$
11.2A2.3AB$15.2A.B$17.B8$B.3B15.2A5.2A.A$B3.B15.2A5.5AB.2A$B3.B13.B7.
B.A.A3.2A$B3.B6.B6.B8.2B.2B.B2.B$B3.B4.2A6.B$9.2A3.3B.2A$11.B3.A2.2A$
13.B3A$15.2A$11.2A$11.2A7$B.3B12.A$B.B.B11.3A$B.3B12.A$B.B.B10.B3A$B.
3B6.B5.A$9.2A5.B$9.2A4.B$16.2A$16.2A7$B.3B$B.B.B$B.3B$B3.B$B.3B6.2B.B
A$10.B.A.A.A$11.5AB$11.2A.A.B!

This rule might be omniperiodic because reflector loops cover p21+. It shouldn't be too hard to find a p20, but p2 and p3 are suspiciously elusive. Either they need to be searched for, or they just don't exist.

Spaceships
There are 2 very common, small spaceships: a 6c/18o and a c/2o:

Code: Select all

x = 14, y = 2, rule = B1S345678F2378K468L03568
AB8.A2BA$2BA7.4B!

The slower one is called "slowship", so I think it makes sense to call the faster one "fastship".
The fastship produces no sparks, but has some edge-repair capabilities.
There is also a rarer 2c/6o, which consists of 2 slowships next to each other:

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x = 7, y = 2, rule = B1S345678F2378K468L03568
.BA.AB$A2B.2BA!

And an extensible c/2:

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x = 32, y = 8, rule = B1S345678F2378K468L03568
A2BA16.A2BA$4BA14.A4BA$4.2B12.2B4.2B$4.2B10.A3B4.3BA$15.A2B8.2BA$14.
2B12.2B$12.A3B12.3BA$12.2B16.2B!

a 2c/4:

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x = 9, y = 3, rule = B1S345678F2378K468L03568
5.A2BA$A2BA.4B$4B!

There was anoyh
bprentice also found a p36 c/3 rake which he then turned into p36 and p72 c/3 ships. I've reduced them:

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x = 58, y = 34, rule = B1S345678F2378K468L03568
4.A28.A$4.2B26.2B$3.3B26.3B$3.ABA2.A2B21.ABA2.2BA$8.3B26.3B$7.ABA28.A
3$6.2BA6.AB$6.AB7.2BA$38.2B$38.2B2$41.A$41.2B$34.2BA4.BA$34.AB2$56.A$
55.2B$55.3B$5.A2B$6.BA48.2B$53.A.A2B$2BA26.A2B19.A2B$3B26.3B20.2B$.A28.
A4.A2B4.BA9.2B$36.BA3.A2B9.BA$4.A36.3BA$3.2B36.3B$3.2B$4.A$6.2BA$6.AB
!

Growth
There are various linear growth mechanisms, from guns to rakes. Here are the notable ones, in chronological order of discovery:
p261 guns (2 single barrel slowship guns, 1 double barrel slowship gun & 1 single barrel fastship gun):

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x = 49, y = 179, rule = B1S345678F2378K468L03568
20.B2.B$21.2A$21.2A$20.B2.B$20.B2.B$21.2A$21.2A$20.B2.B$20.B2.B$21.2A
$21.2A$20.B2.B$20.B2.B$21.2A$21.2A$20.B2.B$20.B2.B$21.2A$21.2A$20.B2.
B$20.B2.B$21.2A$21.2A$20.B2.2B$20.B2.2BA$21.2A$21.2A$20.B2.B$20.B2.B$
21.2A$21.2A2.2B$20.B2.B.BA$20.B2.A$21.2A$21.2A$20.B2.B$20.B2.B$21.2A.
2B$21.2A.4B$20.B2.B2.2B$20.B2.B2.2B$21.2A$21.2A$20.B2.B$20.B2.B$21.2A
$21.2A.2B$20.B2.2BA27$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.
B$.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A
2.2A2.2A2.2A2.2A2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B
2.2B2.B$9.B3.2BA19.2BA5.2B$7.5B.BA20.AB6.A$7.B2.2B12$6.2B2.AB$6.2B2A4B
22.A4.2B$9.B2.2BA20.2B4.3BA$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B
2.2B2.B$.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.
2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.
2B2.2B2.2B2.B15$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$.2A2.
2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A2.2A2.2A
2.2A2.2A2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B
$9.B3.2BA19.2BA5.2B$7.5B.BA20.AB6.A$7.B2.2B13$6.2B2.AB$6.2B2A4B22.A4.
2B$9.B2.2BA20.2B4.3BA$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.
B$.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A
2.2A2.2A2.2A2.2A2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B
2.2B2.B15$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$.2A2.2A2.2A
2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.
2A2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$9.B3.
2BA19.2BA5.2B$7.5B.BA20.AB6.A$7.B2.2B13$7.2B2.AB$7.2B2A4B22.A4.2B$10.
B2.2BA20.2B4.3BA$.B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$2.
2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$2.2A2.2A2.2A2.2A2.2A2.
2A2.2A2.2A2.2A2.2A2.2A2.2A$.B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B
2.2B2.B!

p488 gun, 12 barrels, fires 8 fastships and 8 slowships per cycle:

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x = 7, y = 15, rule = B1S345678F2378K468L03568
.B2.B$2.2A$2.2A$4.B$2.A2.A$2.2B.BA$.B.A.2B$AB3A$.B.A.2B$2.2B.BA$2.A2.
A$4.B$2.2A$2.2A$.B2.B!

p138 double-barreled fastship gun:

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x = 6, y = 7, rule = B1S345678F2378K468L03568
.ABA$.3B$B.A.B$B3AB$B.A.2B$.3BA$.B.A!

5 c/3o rakes, all based on the far left one. From left to right, they are:

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x = 243, y = 46, rule = B1S345678F2378K468L03568
238.A$146.2BA89.2B$57.A49.A38.3B88.3B$7.A49.2B48.2B38.A4.BA78.A2B2.AB
A$6.2B48.3B47.3B36.2BA3.A2B78.3B$7.B43.A2B2.ABA42.A2B2.ABA36.3B3.B81.
A$.2BA.2B.2B41.3B47.3B46.B2.2B$.2B3.A.2B42.A49.A49.3B$4BA144.4B$AB147.
2B.A$148.2B83.2B$150.B82.2B$52.2B48.2B45.2B82.2A$52.2B48.2B46.A$52.2A
37.A10.2A130.2BA$91.2B141.AB$53.2BA34.3B10.2BA$53.AB35.ABA10.AB53.B$157.
AB.B$91.ABA65.2BA62.A$91.3B63.2B64.2B$157.2B64.AB$147.2B.A$147.2B.2B$
149.B$149.2B24.2BA$149.A25.2B$174.4BA56.A2B$174.AB60.BA$54.A2B113.B$55.
BA112.AB.B$171.2BA38.A$169.2B40.2B$149.A.2B16.2B40.AB$148.2B.2B$150.B
$149.2B46.A42.2BA$150.A46.2B41.3B$59.2BA134.3B35.2BA4.A$59.3B172.AB$53.
2BA4.A97.AB36.2B$53.AB103.2B36.2BA.A$158.2B40.2BA$158.AB40.2B$199.2B$
199.AB!

• p36, fires 2 back slowships and 1 side slowship per cycle
• p36, fires 1 side slowship per cycle
• p36, fires 2 back slowships per cycle
• p72, fires 3 back slowships per cycle
• p72, fires 1 side fastship per cycle

p130 4-barreled slowship gun:

Code: Select all

x = 6, y = 6, rule = B1S345678F2378K468L03568
2.ABA$2.3B$.B.A.B$.B3A$2B.2A$.AB2.B!

p40 slowship gun:

Code: Select all

x = 6, y = 6, rule = B1S345678F2378K468L03568
2.B$2A.2B$2A.A$2.3AB$2.2A.B$4.B!

p190 10-barreled slowship gun:

Code: Select all

x = 8, y = 3, rule = B1S345678F2378K468L03568
6.2A$AB4.2A$2BA2.B!

p96 c/3o rake (5 side slowships, 3 back fastships and 1 side fastship/cycle):

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x = 17, y = 42, rule = B1S345678F2378K468L03568
.2BA$.2B$4B$AB.4BA$4.B.2B$5.2A$7.A$6.3B$6.A2B4$14.A$9.2B.4BA$8.AB2.B.
3B$11.B3.A$11.2BA$11.2B$11.A2$7.3B$7.A2B$7.A$6.3B$6.A2B9$8.2B$5.2B.2B
$5.2BA$5.AB2.B$9.B.B$12.B$9.3B$9.A.B$11.A!

p80 slowship gun:

Code: Select all

x = 8, y = 11, rule = B1S345678F2378K468L03568
5.2A$5.2A$4.B6$6.2A$AB4.2A$2BA2.B!

Some more guns and rakes, as well as 2 breeders and an interesting sequence generator were posted by AbhpzTa:

I found a p119 gun for the smallest c/2 in the extensible family:

Code: Select all

x = 11, y = 20, rule = B1S345678F2378K468L03568
3.B$4.2A$4.2A$4.2A$4.2A2$4.2A$4.2A$6.B2$.2B$B.A.B$.3AB$.2A.B$5.B$3.2A
$3.2A2.A2.B$5.B2.2A$8.2A$10.B!

Reactions, Syntheses & Circuitry
Stable catalysts are versatile and easy to come across by accident. This is because the cores of still lifes are resilient, so the only non-rock cells in catalysts are the destructive cell attachments.

It was known since the discovery of this rule that the extended block was a versatile catalyst which could act as a reflector for both common ships. Some attachments can be removed, resulting in this:

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x = 83, y = 32, rule = B1S345678F2378K468L03568
2.B26.2A$2A14.2B11.2A28.2A$2A13.A2B10.B2.B27.2A$2.B12.A2B40.B2.B18.B$
16.2B63.2A$74.BA5.2A$73.A2B4.B$74.2B$60.A2B$60.3B$61.A4$.4B$.4B23.2A$
2.2A23.4B$27.4B$77.A$76.3B$76.2BA$63.2B$58.B4.2BA$56.2A5.AB$56.2A$58.
B18.B2.B$78.2A$14.2B62.2A$14.2BA12.B$B2.B10.2BA13.2A$.2A11.2B14.2A$.2A
26.B!

A simple new splitter; slowship -> 2 90-degree fastships (42):

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x = 5, y = 10, rule = B1S345678F2378K468L03568
.B$2.2A$2.2A$.B2.B5$.BA$A2B!

And an old, chaotic one by c0b0p0:

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x = 11, y = 12, rule = B1S345678F2378K468L03568
2B$2BA$2BA$2B2$7.3B$6.B.A.B$6.B3AB$3.B4.A.B$4.2A.3B$4.2A$6.B!

The slowship is sparky, making it useful for distaff reactions, but the p6 "double slowship" has a lower period but the same spark. AbhpzTa has explored reactions involving it too.

Spaceships aren't the only type of signal in this rule. There is also this c/2 signal:

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x = 4, y = 5, rule = B1S345678F2378K468L03568
.BA$.2B$B2.B$.2A$.2A!

AbhpzTa built several conduits and converters for the signal and the spaceships in the quoted post.

I also found 2 new signal types.
The first is this p6 lightspeed signal:

Code: Select all

x = 7, y = 34, rule = B1S345678F2378K468L03568
2A3.2A$2A3.2A$2.B.B3$2.B.B$2A3.2A$2A3.2A$2.B.B3$2.B.B$2A3.2A$2A3.2A$
2.B.B3$2.B.B$2A3.2A$2A3.2A$2.B.B3$2.B.B$2A3.2A$2A3.2A$2.B.B3$2.B.B$2A
3.2A$2A.A.2A$2.3B$2.ABA!

Reactions:

Code: Select all

x = 81, y = 25, rule = B1S345678F2378K468L03568
4.B.B15.B.B$2.2A3.2A11.2A3.2A$2.2A3.2A11.2A3.2A$4.B.B15.B.B3$4.B.B15.
B.B$2.2A3.2A11.2A3.2A$2.2A3.2A11.2A3.2A$4.B.B15.B.B$37.2A4.2A3.2A4.2A
$37.2A4.2A3.2A4.2A13.2A8.2A$4.B.B15.B.B11.B2.B2.B2.B.B2.B2.B2.B12.2A
8.2A$4A3.2A11.2A3.2A44.B6.B$4A3.2A11.2A3.2A9.B2.B2.B2.B.B2.B2.B2.B$4.
B.B15.B.B12.2A4.2A3.2A4.2A$37.2A4.2A3.2A4.2A14.BAB2.B$45.B.B20.2A.B.
2A$68.2A.B.2A$70.B.B2.B$45.B.B$A2BA39.2A.A.2A20.B.B2.B$4B39.2A.B.2A
18.2A3.2A$23.BA20.3B20.2A3.2A$22.A2B!

This one is common and versatile, unlike the other one I found, which is a p2 lightspeed signal:

Code: Select all

x = 18, y = 5, rule = B1S345678F2378K468L03568
BA$18B$.A2.A2.A2.A2.A2.A$18A$.A2.A2.A2.A2.A2.A!

It's fragile and hard to convert between other signal types, but it's useful enough on its own:

Code: Select all

x = 40, y = 11, rule = B1S345678F2378K468L03568
BA$9B15.B.A$.A2.A2.A.B14.B3A7.BA$9AB14.B.A6.6B$.A2.A2.A.B14.B.A5.B.A
2.A.B$7.A.B14.B3A4.B6AB$6.3AB5.BA7.B.A5.B.A2.A.B$7.A.B5.9B8.B.A2.A.B$
7.A.B6.A2.A2.A9.B6AB$6.3AB5.9A8.B.A2.A.B$7.A.B6.A2.A2.A10.6B!

Syntheses for basic patterns has also been explored briefly, in the BSFK rulespace thread.

In terms of logic, the only logic component made so far is this AND gate:

Is this rule universal?

Here is a 42-cell AND gate in that rule.

Code: Select all

x = 83, y = 105, rule = B1S345678F2378K468L03568
54.2A$45.A2B6.2A$46.BA5.B3$39.A$37.2A$37.2A$39.A11.2A$51.2A$50.B$2.A$
2A$2A$2.A12$29.A2B$30.BA11$80.A$81.2A$81.2A$26.B$24.2A$24.2A18$48.A$
49.2A$49.2A39$42.A$43.2A$43.2A!

Still, with a bit of effort, it should be possible to prove this rule to be TC.
I don't think universal construction is possible in this rule, because SLs are so stable. But who knows? Somebody might come up with a completely new method to do it.

Goals
Prove/disprove omniperiodicity
Prove/disprove universal construction
Find more simplified spaceship speeds
Find a diagonal spaceship
Find an oblique spaceship

[I6_I6]

This allows for oscillators with period 16+6n:

Code: Select all

x = 14, y = 14, rule = B1S345678F2378K468L03568
5.A2.A$4.6A$5.A2.A$4.6B$.A.B6.B.A$3AB6.B3A$.A.B6.B.A$.A.B6.B.A$3AB6.B
3A$.A.B.BA3.B.A$4.6B$5.A2.A$4.6A$5.A2.A!

And since you can put multiple signals in the same loop, you get all periods >= 5 that aren't a multiple of 6.
So a p5:

Code: Select all

x = 20, y = 20, rule = B1S345678F2378K468L03568
5.A2.A2.A2.A$4.12A$5.A2.A2.A2.A$4.12B$.A.B4.A.B2.AB.B.A$3A2B11.B3A$.A
.BA11.B.A$.A.B12.B.A$3AB11.AB3A$.A.2B11.B.A$.A.B11.2B.A$3ABA11.B3A$.A
.B12.B.A$.A.B11.AB.A$3AB11.2B3A$.A.B.BA2.B.A4.B.A$4.12B$5.A2.A2.A2.A$
4.12A$5.A2.A2.A2.A!

[ThePlayzr]

This allows for oscillators with period 16+6n:

Code: Select all

x = 14, y = 14, rule = B1S345678F2378K468L03568
5.A2.A$4.6A$5.A2.A$4.6B$.A.B6.B.A$3AB6.B3A$.A.B6.B.A$.A.B6.B.A$3AB6.B
3A$.A.B.BA3.B.A$4.6B$5.A2.A$4.6A$5.A2.A!

And since you can put multiple signals in the same loop, you get all periods >= 5 that aren't a multiple of 6.

(music)
I don't know about you, but I think we need 12+6n!

Code: Select all

x = 13, y = 13, rule = B1S345678F2378K468L03568
4.A2.A$2.7A$.2A.A2.A$.A2.5B$3AB5.B.A$.A.B5.B3A$.A.2B4.B.A$3ABA4.B.A$.
A.B5.B3A$4.5B2.A$5.A2.A.2A$4.7A$5.A2.A!

p6 based on this:

Code: Select all

x = 13, y = 13, rule = B1S345678F2378K468L03568
4.A2.A$2.7A$.2A.A2.A$.A2.5B$3AB5.B.A$.A.B4.AB3A$.A.2B3.2B.A$3ABA4.B.A
$.A.B5.B3A$4.5B2.A$5.A2.A.2A$4.7A$5.A2.A!

[hibiscus]

p3 found in ~10 minutes

Code: Select all

x = 6, y = 7, rule = B1S345678F2378K468L03568
3.2A$3.2A$2.A$3.2B$.2B.A$2A.3A$2A.2A!

[I6_I6]

[...]
p6 based on this:

Code: Select all

x = 13, y = 13, rule = B1S345678F2378K468L03568
4.A2.A$2.7A$.2A.A2.A$.A2.5B$3AB5.B.A$.A.B4.AB3A$.A.2B3.2B.A$3ABA4.B.A
$.A.B5.B3A$4.5B2.A$5.A2.A.2A$4.7A$5.A2.A!

Reduction:

Code: Select all

x = 13, y = 13, rule = B1S345678F2378K468L03568
4.A2.A$3.6A$4.A2.A$.A2.5B$3AB5.B.A$.A.B4.AB3A$.A.2B3.2B.A$3ABA4.B.A$.
A.B5.B3A$4.5B2.A$5.A2.A$4.6A$5.A2.A!

p3 found in ~10 minutes

Code: Select all

x = 6, y = 7, rule = B1S345678F2378K468L03568
3.2A$3.2A$2.A$3.2B$.2B.A$2A.3A$2A.2A!

Great job! Can you find a p2?

EDIT:
We have our first statorless oscillator!

Code: Select all

x = 6, y = 3, rule = B1S345678F2378K468L03568
A4.A$2B2.2B$BA2.AB!

It's a p18 OMOS, with 2 slowships colliding head-on. I didn't find it by colliding slowships tho, but rather by making soups in Golly.
Moving them 1 cell further apart results in a very similar osc:

Code: Select all

x = 7, y = 3, rule = B1S345678F2378K468L03568
A5.A$2B3.2B$BA3.AB!

It can be monomerized into a slowship repeatedly hitting a 2x4 rectangle:

Code: Select all

x = 6, y = 4, rule = B1S345678F2378K468L03568
2A3.A$2A2.2B$2A2.AB$2A!

I've also found a p17 gun that fires the extensible c/2:

Code: Select all

x = 16, y = 14, rule = B1S345678F2378K468L03568
4$4.3A$4.3A$3.B.A.B$4.2B$6.2BA$6.2B$.2A.2A$.2A.2A$6.B!

And a splitter that can be used to make very simple adjustable guns:

Code: Select all

x = 18, y = 7, rule = B1S345678F2378K468L03568
.3B7.A$B.A.B5.2B$B3AB5.AB3.B$2.A.B11.2A$.2A13.2A$.2A$3.B!

Extension remover:

Code: Select all

x = 9, y = 10, rule = B1S345678F2378K468L03568
7.2A$7.2A$6.B2$2B$2BA$2.BA$2.2B$2.2B$2.BA!

[I6_I6]

Sorry for doubleposting, but I have to bump this or nobody will ever notice what I'm doing.
2c/4os:

Code: Select all

x = 54, y = 5, rule = B1S345678F2378K468L03568
10.A2BA32.A2BA$5.A2BA.4B.A2BA14.A2BA9.4BA$A2BA.4B6.4B.A2BA8.A4BA13.2B
A$4B16.4B5.A2B6.2BA9.4B$29.4B4.4B!

Oscillator collection update:

Code: Select all

x = 95, y = 246, rule = B1S345678F2378K468L03568
B.B4.2A12.BA8.2A$B.B4.2A12.2B8.2A$3B6.B8.2A13.B$2.B5.2B2.B5.2A.2B7.B$
2.B6.A.B.2A4.A9.A3.A$8.3A2.2A4.2A2.2A3.3A.B.2A$9.A9.2A2.2A4.3A2.2A$
30.2A7$3B15.A8.2A9.2A$B6.B.B7.3A7.4A7.2A$3B5.A4.2A.B.A7.B2.2A6.B$2.B
4.3A3.2A3.B2.A6.B7.A$3B5.A6.B3.B3A11.2A.B$21.A4.B.2A4.3A$20.B6.3A5.2A
$18.B8.2A$19.2A$19.2A7$3B4.2A3.B7.2A11.2A15.A11.2A6.A7.2A13.2A$B6.2A
4.A6.2A11.3AB12.3A10.2A5.3A6.2A13.2A$3B6.A.4A4.B2.A9.B.A.2B10.A.A7.A.
2B8.A.B4.B.2A10.A$B.B10.A6.A3.B8.B2.B.2A.A4.3A.B6.3AB8.BAB6.B.2A8.3AB
$3B9.3A3.2A2.A.A.2A5.ABAB.5A3.2A4.2A4.A3.2B15.B.A9.A$13.A4.2A.B.5A9.B
.A.A6.B3.2A5.2A.B.2A14.B.2A7.2B$21.A.2A13.2B9.B2.2A6.2A2.2A5.B9.B.2A
7.B$20.3A24.2A11.2A10.2A4.2A2.B.3A6.2A$21.A25.2A23.2A4.2A3.B.2A6.2A$
84.B7$3B19.2A6.A9.A3.2A16.B$2.B6.2B9.B3A5.3A6.B3AB.2A14.2A$2.B5.B.A.A
6.2B.A.B5.A6.2B.A.2B8.A7.2A2.A2B$2.B5.6A3.2A.A3B5.B.B3.2A3.2B8.B3A8.
2B.A.B$2.B5.B.A.A4.2A3.A12.2A12.2B.A2.2A6.B3AB$9.2B8.B9.B7.B9.2A2.B.B
.2A8.A.2B$30.2A15.2A5.B7.2A$30.2A30.2A7$3B6.B13.2A9.B26.2A8.2A$B.B4.
2A4.B9.2A7.2A6.B20.2A7.3A$3B4.2A.B3.2A3.2A.B9.2A.2A3B.2A8.A5.2A.B10.A
.B$B.B7.A.B.2A3.2A.A.2A9.B2.A2.2A7.3A4.2A4.A4.2A.2B$3B6.3A9.2B.2A.2A
6.B.3A9.B.A.B6.B.3A3.2A2.A$10.A11.B4.2A9.2A6.A.B.BA8.A2.A6.B$21.A.B2.
B7.2A9.3AB13.B$21.AB.B9.2A10.A.B.B2.B$25.2A24.2A$25.2A24.2A7$3B18.2A
8.2A23.2A$B.B6.2BA9.2A.B.A4.2A13.B9.2A$3B5.B.A.2B6.B2.2B3A5.B10.2A.B
10.B.A2B$2.B6.3A2.2A6.AB2.A6.3B8.3A12.B.A$3B6.3A2.2A7.2B9.A10.3AB.B9.
3A$26.A6.3AB.B7.A.B2.2A7.2A$25.3A6.A.B2.2A6.B3.2A$26.A8.B3.2A9.B$38.B
6$B.3B7.A11.B.A.A$B.B.B6.3A.2A2.2A3.B5A$B.B.B5.A.A2.2A2.2A3.B.A.A$B.B
.B4.3A.2B6.B4.B$B.3B5.A.B8.B2.B$9.2B11.2A$22.2A7$B.B10.2A17.A.B8.2A$B
.B5.A.A2.2A16.3AB8.2A.B.A$B.B4.3A.B11.3B6.A12.2B3A$B.B5.A2.B8.AB2.A4.
2A.2B7.A.B4.2A$B.B6.B10.B.4A3.2A2.B2.B3.3AB3.B$18.B2.2A.A9.2A4.2A.B$
19.2A13.2A6.B$19.2A7$B.3B16.A.A10.2A$B3.B7.AB6.5A2.2A5.2A$B.3B5.B2.A.
B5.A.A.B.2A7.B$B.B6.B.4A8.B2.A9.B$B.3B5.2A.2A14.2A3.2A$11.2A16.2A3.2A
$28.B7.2BA$24.B2.B8.2B$25.2A7.2A$25.2A7.2A7$B.3B14.2A16.2A8.A.BA$B3.B
4.2A8.2A16.2A7.3A2B$B.3B4.2A7.A8.A8.B3.A6.A$B3.B6.2B13.3A9.B3A6.2BA$B
.3B7.BA11.A.A10.B.A.B7.B$9.2A17.A.B8.A2B6.2A.B$9.2A12.A2.B3AB17.3AB$
11.B9.2A3.B.A.B8.B2.B6.A2.B$11.B9.2A4.3B10.2A8.2A$9.2A12.B3.ABA10.2A
8.2A$9.2A7$B.B.B$B.B.B7.B$B.3B5.B.A.B$B3.B6.3A$B3.B6.3A7$B.3B16.2A30.
2A$B.B8.B9.2A11.AB3.B13.2A$B.3B4.2A10.A12.2B4.2A9.2B2.B$B3.B4.2A.B7.
3AB10.B2.B2.2A8.A.B$B.3B5.2A9.A13.2A2.B7.5AB$9.2A.B6.B3AB8.B2.2A10.4A
.B$9.2A8.B.A.B6.2A2.B2.B8.A2.A.B$11.B8.2BA7.2A4.2B10.A2B$32.B3.BA8$B.
3B$B.B$B.3B12.BA$B.B.B5.B2.BA4B$B.3B6.2A.B.A.BA$11.2A2.3AB$15.2A.B$
17.B8$B.3B7.3A14.3A13.A.2A11.2A$B3.B7.3A14.3A8.2A.B5A11.2A$B3.B6.B.A.
B12.B.A.B7.2A3.A.A.B6.2A$B3.B7.A2B15.2B7.B2.B.2B.2B7.3AB$B3.B22.A2B
23.2A2.A3.B$22.B5.2B23.2A.3B3.2A$11.B8.2A8.2A.2A20.B6.2A$9.2A9.2A8.2A
.2A19.B6.B$9.2A18.B24.B$51.2A$51.2A7$B.3B$B.B.B6.A4.A6.A5.A5.2A3.A6.A
17.2A$B.3B6.2B2.2B6.2B3.2B5.2A2.2B5.3A16.2A$B.B.B6.BA2.AB6.BA3.AB5.2A
2.AB6.A13.B.B.A$B.3B30.2A9.3AB9.2A2.4A$47.A5.B5.2A2.B.3A$48.B5.2A5.B
2.B.2A$49.B4.2A9.B$47.2A$47.2A6$B.3B$B.B.B$B.3B$B3.B$B.3B6.2B.BA$10.B
.A.A.A$11.5AB$11.2A.A.B7$3B.B.B6.A$2.B.B.B5.3A$3B.3B4.B.A.B$B5.B6.2B$
3B3.B$11.B2.B$12.2A$12.2A!

EDIT:
New 2c/2d signal:

Code: Select all

x = 22, y = 21, rule = B1S345678F2378K468L03568
2.2A$2.2A$.B.A$B.B.2A$A.2B.2A$.AB.B.A$4.2B.2A$4.A2B.2A$6.AB.A$8.B.2A$
9.B.2A$10.B.A$11.B.2A$12.B.2A$13.B.A$14.B.2A$15.B.2A$16.B.A$17.B.3A$
18.B.2A$19.B!

[J5L]

Splitter(sadly uneven)

Code: Select all

x = 13, y = 11, rule = B1S345678F2378K468L03568
8.B2.B$9.2A$9.2A$8.B2.B2$2B$2BA$2BA6.B2.B$2B8.2A$10.2A$9.B2.B!

Is there any way to change the parity?

[I6_I6]

Splitter(sadly uneven)

Code: Select all

x = 13, y = 11, rule = B1S345678F2378K468L03568
8.B2.B$9.2A$9.2A$8.B2.B2$2B$2BA$2BA6.B2.B$2B8.2A$10.2A$9.B2.B!

Is there any way to change the parity?

Different spacing, but the outputs are released simultaneously:

Code: Select all

x = 21, y = 26, rule = B1S345678F2378K468L03568
15.2A$15.2A$14.B2.B6$7.B2.B$8.2A7.B$8.2A8.2A$7.B2.B7.2A$17.B$BA$2B$2B
6.B2.B6.B$BA7.2A8.2A$9.2A8.2A$8.B2.B6.B5$15.B2.B$16.2A$16.2A!

I tried reducing it and got a 15-gen delayer instead:

Code: Select all

x = 12, y = 16, rule = B1S345678F2378K468L03568
8.2A$8.2A$7.B2.B2$BA$2B$2B6.B2.B$BA7.2A$9.2A4$BA$2B$2B$BA!

[J5L]

Dang it(Failed emulator).

Code: Select all

x = 49, y = 41, rule = B1S345678F2378K468L03568
40.B2.B$B2.B37.2A$.2A38.2A$.2A37.B2.B$B2.B11$33.B2.B$34.2A$34.2A$33.B
2.B3$33.B2.B6.B2.B$34.2A8.2A$34.2A2.B2.B2.2A$33.B2.B2.2A2.B2.B$39.2A$
33.B2.B.B2.B$24.2B8.2A$24.2BA7.2A$.B2.B19.2BA6.B2.B$2.2A20.2B$2.2A$.B
2.B5$30.B2.B11.B2.B$31.2A13.2A$31.2A13.2A$30.B2.B11.B2.B!

Oscillator version

Code: Select all

x = 49, y = 41, rule = B1S345678F2378K468L03568
40.B2.B$B2.B37.2A$.2A38.2A$.2A37.B2.B$B2.B11$33.B2.B$34.2A$34.2A$33.B
2.B3$33.B2.B6.B2.B$34.2A8.2A$34.2A2.B2.B2.2A$33.B2.B2.2A2.B2.B$39.2A$
33.B2.B.B2.B$24.2B8.2A$24.2BA7.2A$.B2.B19.2BA6.B2.B$2.2A20.2B$2.2A$.B
2.B$18.B2.B$19.2A$19.2A$18.B2.B$30.B2.B11.B2.B$31.2A13.2A$31.2A13.2A$
30.B2.B11.B2.B!

[I6_I6]

2 more p18 OMOS:

Code: Select all

x = 19, y = 5, rule = B1S345678F2378K468L03568
4.AB11.AB$4.2B6.BA3.2B$BA3.A6.2B4.A$2B10.A$A!

[yyh_baboon]

kind of splitter…

Code: Select all

 x = 12, y = 7, rule = B1S345678F2378K468L03568
11.A$10.2B$10.BA$2.B$2A3.B$2A.2A$3.2A!
@RULE B1S345678F2378K468L03568
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var j={0,1}
var k=j
var l=j
var m=j
var n=j
var o=j
var p=j
var q=j
var r={0,2}
var s=r
var t=r
var u=r
var v=r
var w=r
var x=r
var y=r
1,2,2,2,2,j,k,l,m,0
1,2,2,2,2,2,2,j,k,0
1,2,2,2,2,2,2,2,2,0
1,1,1,1,0,0,0,0,0,1
1,1,1,1,2,0,0,0,0,1
1,1,1,1,2,2,0,0,0,1
1,1,1,1,2,2,2,0,0,1
1,1,1,1,2,2,2,2,2,1
1,1,1,1,1,0,0,0,0,1
1,1,1,1,1,2,0,0,0,1
1,1,1,1,1,2,2,0,0,1
1,1,1,1,1,2,2,2,0,1
1,1,1,1,1,1,0,0,0,1
1,1,1,1,1,1,2,0,0,1
1,1,1,1,1,1,2,2,0,1
1,1,1,1,1,1,2,2,2,1
1,1,1,1,1,1,1,0,0,1
1,1,1,1,1,1,1,2,0,1
1,1,1,1,1,1,1,2,2,1
1,1,1,1,1,1,1,1,0,1
1,1,1,1,1,1,1,1,2,1
1,1,1,1,1,1,1,1,1,1
1,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,2
1,2,2,0,0,0,0,0,0,2
1,2,2,2,0,0,0,0,0,2
1,2,2,2,2,2,0,0,0,2
1,2,2,2,2,2,2,2,0,2
1,1,0,0,0,0,0,0,0,2
1,1,2,0,0,0,0,0,0,2
1,1,2,2,0,0,0,0,0,2
1,1,2,2,2,0,0,0,0,2
1,1,2,2,2,2,2,0,0,2
1,1,2,2,2,2,2,2,2,2
1,1,1,0,0,0,0,0,0,2
1,1,1,2,0,0,0,0,0,2
1,1,1,2,2,0,0,0,0,2
1,1,1,2,2,2,0,0,0,2
1,1,1,2,2,2,2,2,0,2
2,1,r,s,t,u,v,w,x,2
2,1,1,r,s,t,u,v,w,2
2,1,1,1,1,r,s,t,u,2
2,1,1,1,1,1,1,1,r,2
0,1,2,2,0,0,0,0,0,1
0,1,2,2,2,0,0,0,0,1
0,1,2,2,2,2,2,2,2,1
a,b,c,d,e,f,g,h,i,0

Very convenient slowship Heisenburp device:

Code: Select all

 x = 17, y = 10, rule = B1S345678F2378K468L03568
16.A$15.2B$15.BA3$4.B$5.2A$2.B2.2A$2A$2A!
@RULE B1S345678F2378K468L03568
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var j={0,1}
var k=j
var l=j
var m=j
var n=j
var o=j
var p=j
var q=j
var r={0,2}
var s=r
var t=r
var u=r
var v=r
var w=r
var x=r
var y=r
1,2,2,2,2,j,k,l,m,0
1,2,2,2,2,2,2,j,k,0
1,2,2,2,2,2,2,2,2,0
1,1,1,1,0,0,0,0,0,1
1,1,1,1,2,0,0,0,0,1
1,1,1,1,2,2,0,0,0,1
1,1,1,1,2,2,2,0,0,1
1,1,1,1,2,2,2,2,2,1
1,1,1,1,1,0,0,0,0,1
1,1,1,1,1,2,0,0,0,1
1,1,1,1,1,2,2,0,0,1
1,1,1,1,1,2,2,2,0,1
1,1,1,1,1,1,0,0,0,1
1,1,1,1,1,1,2,0,0,1
1,1,1,1,1,1,2,2,0,1
1,1,1,1,1,1,2,2,2,1
1,1,1,1,1,1,1,0,0,1
1,1,1,1,1,1,1,2,0,1
1,1,1,1,1,1,1,2,2,1
1,1,1,1,1,1,1,1,0,1
1,1,1,1,1,1,1,1,2,1
1,1,1,1,1,1,1,1,1,1
1,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,2
1,2,2,0,0,0,0,0,0,2
1,2,2,2,0,0,0,0,0,2
1,2,2,2,2,2,0,0,0,2
1,2,2,2,2,2,2,2,0,2
1,1,0,0,0,0,0,0,0,2
1,1,2,0,0,0,0,0,0,2
1,1,2,2,0,0,0,0,0,2
1,1,2,2,2,0,0,0,0,2
1,1,2,2,2,2,2,0,0,2
1,1,2,2,2,2,2,2,2,2
1,1,1,0,0,0,0,0,0,2
1,1,1,2,0,0,0,0,0,2
1,1,1,2,2,0,0,0,0,2
1,1,1,2,2,2,0,0,0,2
1,1,1,2,2,2,2,2,0,2
2,1,r,s,t,u,v,w,x,2
2,1,1,r,s,t,u,v,w,2
2,1,1,1,1,r,s,t,u,2
2,1,1,1,1,1,1,1,r,2
0,1,2,2,0,0,0,0,0,1
0,1,2,2,2,0,0,0,0,1
0,1,2,2,2,2,2,2,2,1
a,b,c,d,e,f,g,h,i,0

Code: Select all

 x = 18, y = 10, rule = B1S345678F2378K468L03568
17.A$16.2B$16.BA3$5.B$6.2A$B2.B2.2A$.2A$.2A!
@RULE B1S345678F2378K468L03568
@TABLE
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var j={0,1}
var k=j
var l=j
var m=j
var n=j
var o=j
var p=j
var q=j
var r={0,2}
var s=r
var t=r
var u=r
var v=r
var w=r
var x=r
var y=r
1,2,2,2,2,j,k,l,m,0
1,2,2,2,2,2,2,j,k,0
1,2,2,2,2,2,2,2,2,0
1,1,1,1,0,0,0,0,0,1
1,1,1,1,2,0,0,0,0,1
1,1,1,1,2,2,0,0,0,1
1,1,1,1,2,2,2,0,0,1
1,1,1,1,2,2,2,2,2,1
1,1,1,1,1,0,0,0,0,1
1,1,1,1,1,2,0,0,0,1
1,1,1,1,1,2,2,0,0,1
1,1,1,1,1,2,2,2,0,1
1,1,1,1,1,1,0,0,0,1
1,1,1,1,1,1,2,0,0,1
1,1,1,1,1,1,2,2,0,1
1,1,1,1,1,1,2,2,2,1
1,1,1,1,1,1,1,0,0,1
1,1,1,1,1,1,1,2,0,1
1,1,1,1,1,1,1,2,2,1
1,1,1,1,1,1,1,1,0,1
1,1,1,1,1,1,1,1,2,1
1,1,1,1,1,1,1,1,1,1
1,0,0,0,0,0,0,0,0,2
1,2,0,0,0,0,0,0,0,2
1,2,2,0,0,0,0,0,0,2
1,2,2,2,0,0,0,0,0,2
1,2,2,2,2,2,0,0,0,2
1,2,2,2,2,2,2,2,0,2
1,1,0,0,0,0,0,0,0,2
1,1,2,0,0,0,0,0,0,2
1,1,2,2,0,0,0,0,0,2
1,1,2,2,2,0,0,0,0,2
1,1,2,2,2,2,2,0,0,2
1,1,2,2,2,2,2,2,2,2
1,1,1,0,0,0,0,0,0,2
1,1,1,2,0,0,0,0,0,2
1,1,1,2,2,0,0,0,0,2
1,1,1,2,2,2,0,0,0,2
1,1,1,2,2,2,2,2,0,2
2,1,r,s,t,u,v,w,x,2
2,1,1,r,s,t,u,v,w,2
2,1,1,1,1,r,s,t,u,2
2,1,1,1,1,1,1,1,r,2
0,1,2,2,0,0,0,0,0,1
0,1,2,2,2,0,0,0,0,1
0,1,2,2,2,2,2,2,2,1
a,b,c,d,e,f,g,h,i,0