BSFK rulespace

For discussion of other cellular automata.
c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Post by c0b0p0 » August 24th, 2014, 3:36 pm

@bprentice: I like your rule. Here is a small stable glider duplicator which could be used to make reflectors, advanced technology, and perhaps a small replicator as well.

Code: Select all

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$3.B2.B!
Here is a slow glider -> fast glider converter.

Code: Select all

x = 7, y = 9, rule = B1S345678F2378K468L03568
A2B$.BA5$4.B$5.2A$5.2A!
However, there is a slight misspelling in the rule name (unless you have made another redefinition of the BSFKL rulespace). It should be B1/S345678/F237 (what kind of cell can have 8 destructive neighbors and 1 live neighbor?)/K468/L03568.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » August 24th, 2014, 7:47 pm

c0b0p0 wrote: However, there is a slight misspelling in the rule name (unless you have made another redefinition of the BSFKL rulespace). It should be B1/S345678/F237 (what kind of cell can have 8 destructive neighbors and 1 live neighbor?)/K468/L03568.
Please read this:

viewtopic.php?f=11&t=1381&start=25#p12273

The definition of the rule family's behavior is and has always been the Java code copied below for your convenience.

Code: Select all

  public int step(int row, int column)
  {
    int neighbors[] =
    {
      squareCell.getNeighbor(row - 1, column - 1),
      squareCell.getNeighbor(row    , column - 1),
      squareCell.getNeighbor(row + 1, column - 1),
      squareCell.getNeighbor(row - 1, column    ),
      squareCell.getNeighbor(row + 1, column    ),
      squareCell.getNeighbor(row - 1, column + 1),
      squareCell.getNeighbor(row    , column + 1),
      squareCell.getNeighbor(row + 1, column + 1)
    };
    int cell = squareCell.getNeighbor(row, column);
    int count1 = 0;
    int count2 = 0;
    for (int i = 0; i < 8; i++)
      if (neighbors[i] == 1)
        count1++;
      else if (neighbors[i] == 2)
        count2++;
    if (cell == 1)
      if (k[count2] == 1)
        return 0;
      else
      {
        if (s[count1] == 1)
          return 1;
        return 2;
      }
    else if (cell == 2)
      if (l[count1] == 1)
        return 0;
      else
        return 2;
    else
      if ((f[count2] == 1) && (b[count1] == 1))
        return 1;
    return 0;
  }
Square Cell was designed and developed to find and explore interesting automata, those that permit the selection and construction of ships, puffers, guns, oscillators, replicators and various related objects. Thus providing a versatile, entertaining, challenging and addictive solitaire game.

The five parameter values can either be selected from an input dialog or by random generation. The selection process is uncoupled from the process of generating the next state of the automaton from the current state. This uncoupling allows for the modification of the conditional statements in the step function so as to explore related rule families. The side effect of this is that some rules can be selected by more than one set of parameter values. In my opinion this side effect is of no consequence.

The important thing to understand is that the parameter settings B1/S345678/F2378/K468/L03568 do generate a rule which runs the posted examples.

It would be easy to add code so that any member of the rule family can only be selected by one set of parameter values. If you feel that this modification is important then make the change yourself. The complete Java source code is available. I have no intention of doing so since it would make the program less versatile for the reason stated above.

Brian Prentice

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Post by c0b0p0 » August 25th, 2014, 9:34 pm

To continue discussion of this rule, here is an optimized version of the converter I posted yesterday.

Code: Select all

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!
Here is a reflector which could be used to break the record for the smallest slowship gun.

Code: Select all

x = 5, y = 41, rule = B1S345678F2378K468L03568
.2A$.2A$B2.B36$2.2A$.4B$.4B!

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » August 25th, 2014, 11:51 pm

c0b0p0 wrote: Here is a reflector which could be used to break the record for the smallest slowship gun.
Two guns to challenge you:

Code: Select all

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

Code: Select all

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

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Post by c0b0p0 » August 26th, 2014, 2:51 pm

bprentice wrote: Two guns to challenge you:
Here is a 10-cell slowship gun, which breaks the record for slowship gun size again. This is not only the smallest slowship gun, but also the smallest gun known.

Code: Select all

x = 8, y = 9, rule = B1S345678F2378K468L03568
6.2A$6.2A$5.B5$AB$2BA!

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » August 26th, 2014, 3:36 pm

c0b0p0 wrote: This is not only the smallest slowship gun, but also the smallest gun known.
Well done! Is this rule universal?

Brian Prentice

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Post by c0b0p0 » August 30th, 2014, 8:10 pm

bprentice wrote: Well done! Is this rule universal?
It's probably capable of universal construction, but I'm not so sure about universal computation. Six slowships can make the slowship gun I posted earlier, but it is very difficult to make closely-spaced glider pairs.

Code: Select all

x = 113, y = 71, rule = B1S345678F2378K468L03568
2.ABA$3.2B2$.A2B$2.BA23$10.ABA$11.2B2$9.A2B$10.BA19$85.A$84.2B2.A$84.
AB.2B20.A$.A85.BA19.2B2.A$3BA104.AB.2B$4B107.BA$2BA10$8.AB$8.2BA2$7.
2B$7.ABA!

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Post by c0b0p0 » August 31st, 2014, 10:44 pm

Here is a three-glider synthesis of a rake.

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#CXRLE Pos=-122,-10
x = 26, y = 24, rule = B1S345678F2378K468L03568
23.2B$23.2BA$23.AB14$16.2B$15.A2B$15.A2B$16.2B2$AB$2BA$2B!

wildmyron
Posts: 1542
Joined: August 9th, 2013, 12:45 am
Location: Western Australia

Re: BSFK rulespace

Post by wildmyron » September 12th, 2014, 11:38 am

bprentice wrote:
c0b0p0 wrote: This is not only the smallest slowship gun, but also the smallest gun known.
Well done! Is this rule universal?

Brian Prentice
B1S345678F2378K468L03568 is certainly an interesting and complex rule. I think it's almost certainly omni-periodic, but determination of its universality is beyond my ken. The variety of naturally occurring guns of wide ranging period is I think a particularly interesting feature.

I explored a few variations of the rule in BSFKL Square Cell. One I think is particularly interesting is B1S235F23K4L035. It has the same c/2 and c/3 ships but forms a much wider variety of stationary structures. Unfortunately the variety of natural guns is not evident, but I think you will find it interesting. I've given a reasonably minimal specification as the exclusion of 6,7 and 8 values in the rule parameters seems to have little effect on the behaviour. I haven't created a rule tree yet as I don't have a Java SDK on this machine, though I do appreciate your instructions for creating rule files you provided earlier. I have previously been able to use an online Java compiler to create rule trees, so I'll try to get that working again.

Here is one of my favourite BSFKL rules I came across some time ago:

Code: Select all

@RULE B23467S234678F12345K068L0578

@TREE

num_states=3
num_neighbors=8
num_nodes=91
1 0 0 0
1 0 0 2
1 0 2 0
2 0 1 2
1 0 2 2
2 1 1 4
2 2 4 2
3 3 5 6
1 1 1 2
2 1 1 8
2 4 8 4
3 5 9 10
3 6 10 6
4 7 11 12
2 8 8 8
3 9 9 14
3 10 14 10
4 11 15 16
4 12 16 12
5 13 17 18
2 1 0 8
3 9 20 14
3 14 14 14
4 15 21 22
4 16 22 16
5 17 23 24
5 18 24 18
6 19 25 26
2 8 2 8
3 20 3 28
3 14 28 14
4 21 29 30
4 22 30 22
5 23 31 32
5 24 32 24
6 25 33 34
2 2 4 0
3 6 10 36
4 12 16 37
5 18 24 38
6 26 34 39
7 27 35 40
2 2 8 2
3 3 20 42
3 28 42 28
4 29 43 44
4 30 44 30
5 31 45 46
5 32 46 32
6 33 47 48
2 4 8 1
3 10 14 50
4 16 22 51
5 24 32 52
6 34 48 53
7 35 49 54
3 36 50 3
4 37 51 56
5 38 52 57
6 39 53 58
7 40 54 59
8 41 55 60
1 1 1 0
2 0 0 62
2 8 62 8
3 20 63 64
3 42 64 42
4 43 65 66
4 44 66 44
5 45 67 68
5 46 68 46
6 47 69 70
2 8 8 1
3 14 14 72
4 22 30 73
5 32 46 74
6 48 70 75
7 49 71 76
3 50 72 5
4 51 73 78
5 52 74 79
6 53 75 80
7 54 76 81
8 55 77 82
3 3 5 36
4 56 78 84
5 57 79 85
6 58 80 86
7 59 81 87
8 60 82 88
9 61 83 89
Random starting conditions tend to decay to still life composed of mutually stabilising state 1 and state 2 cells. There is a naturally occurring c/22 diagonal ship and a very rare c/7 diagonal ship:

Code: Select all

x = 4, y = 24, rule = B23467S234678F12345K068L0578
.2BA$.B2A$B2A$BA$2B16$.B.B$B2AB$.3A$2BA!
What I find fascinating about the rule is the wide variety of small, naturally occurring oscillators. Excluding p2, there are naturally occurring examples of all periods up to 20.

Code: Select all

x = 28, y = 188, rule = B23467S234678F12345K068L0578
3A7.5A6.2B$BAB7.A3BA5.B2AB$20.B2AB$21.2B17$5A$BA.AB$2BA2B$.B.B7$2.3B
7.4BAB3.5B$.B2A2BA4.B3A.2A2.A2B2A2BA$2B.4A3.BA.AB2AB2.3AB4A$B3A6.B2A
4B$2A9.2B6$.3B.3B5.3B$B2AB.3AB4.B2A2BA$B2A2B2AB2.3B2AB3A$.2B2.2B3.B3A
$10.BA6$5A$BA.A2B$BA.2B$3AB$BA2B$.B5$3.2B$.2BA2B$B2A.AB$B2A.2A$.3B2AB
$3.4B5$2.B10.BA3BA$.BA4BA5.B2AB2A$BA.A2B2A3.2B2AB2A$BA.2ABA3.B3A$BA8.
BA$B4A$.3B2A$4.BA3$.2BA$.B3A$2.2BA$2.B2A$3B$BA.A$2A4$2.2BAB7.4B$.BA.
2A3B3.2B3A2B$B3A3.AB2.2BA.B.A$BA2B2A.2A2.BA.A.AB$4.BA4.B2A.2A2B$10.2B
A.AB$11.BA.A2B$11.2A.2A3$.3B.BA6.2B$B2A2B2A6.BAB$B2AB2A6.B2AB$4B6.2B
2A.B$2.BA6.B5AB$2.B2A5.BA3.2A$2.2BA5.2A4$4.2B$3.B2A3B$2.BA.B3AB$3BABA
2.AB$BA.A$B2A$2BA$.B3$2A3.2A4.2BA.2A$B2A.2AB4.B2A.AB$3B.3B4.BA2.AB$.B
A.AB4.2BA2.2AB$2BA.AB4.BA5.AB$B2A.2A4.B2A2.2AB$2BA8.B4AB$12.4B3$3.A2B
$5A2BA$BA4.B2A$3B2A2BAB$3.BA3B$4.2B5$2A$B2A$2BA.2A$.3BA.A.2A$3.B5AB$.
2BABA3B$B2A2B$BAB$2B2$2.2BAB$.B4A$B2A$BA$BA6$4.3B$3.B2A2BA$2.B6A$2.BA
$2.BA$.2B5A$B2A4BA$BAB3$.2A$.BA$.BA$.2B$B2AB.2A$B2A3BA$.2B4$2.2BA$2.B
5A$.2BA2.AB$B5A2B$BA2.A2B$BA.2AB$BA.AB$2BAB!
Additionally, defects in stable, periodic structures have quite spectacular effects:

Code: Select all

x = 360, y = 403, rule = B23467S234678F12345K068L0578
360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$
360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$
360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A
2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$
360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$
360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$
360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A
2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$
360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$
360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$
360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A
2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$180BA179B$179A
.180A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A
2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$
360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$
360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$
360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A
2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$
360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$
360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$
360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A
2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$
360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$
360B$360A2$360A$360B$360A2$360A$360B$360A2$360A$360B$360A!
Similar defect propagation can be seen in a checkerboard pattern which can be stabilised with toroidal boundary conditions.
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » September 12th, 2014, 3:24 pm

wildmyron,

Here is the Golly rule tree for rule B1S235F23K4L035:

Code: Select all

@RULE B1S235F23K4L035

@TREE

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

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » September 12th, 2014, 8:29 pm

The Golly rule tree for rule B1S235F23K4L0 which is a small change to wildmyron's rule B1S235F23K4L035 above:

Code: Select all

@RULE B1S235F23K4L0

@TREE

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

Code: Select all

x = 52, y = 52, rule = B1S235F23K4L0
6.B2.B$7.2AB2.B$3.3B.A.B2A$4.A.4B.A34.B2.B$4.2AB.A.3B34.2AB$3.B2.B2A
38.A.B$6.B2.B35.4B2.B$46.A.B2A$46.2AB.A$45.B2.4B$47.B.A$47.B2A$47.B
2.B8$11.BA$10.A2B2$12.2B$11.ABA15$.B2.B$2.2AB$2.A.B$4B2.B$.A.B2A$.2A
B.A$B2.4B35.B2.B$2.B.A38.2AB2.B$2.B2A34.3B.A.B2A$2.B2.B34.A.4B.A$40.
2AB.A.3B$39.B2.B2A$42.B2.B!

Code: Select all

x = 13, y = 63, rule = B1S235F23K4L0
6.B2.B$3.B2.B2A$4.2AB.A.3B$4.A.4B.A$3.3B.A.B2A$7.2AB2.B$6.B2.B24$6.
ABA$6.2B2$7.2BA$7.AB22$3.B2.B$B2.B2A$.2AB.A.3B$.A.4B.A$3B.A.B2A$4.2A
B2.B$3.B2.B!

Code: Select all

x = 73, y = 63, rule = B1S235F23K4L0
36.B2.B$33.B2.B2A$34.2AB.A.3B$34.A.4B.A$33.3B.A.B2A$37.2AB2.B$36.B2.
B4$.B2.B$2.2AB$2.A.B$4B2.B$.A.B2A$.2AB.A$B2.4B$2.B.A$2.B2A$2.B2.B21$
34.BA$33.A2B2$35.2B30.B2.B$34.ABA31.2AB$68.A.B$66.4B2.B$67.A.B2A$67.
2AB.A$66.B2.4B$68.B.A$53.BA13.B2A$50.B2A2B13.B2.B$50.2B.2B$50.2B2$33.
B2.B$30.B2.B2A$31.2AB.A.3B$31.A.4B.A$30.3B.A.B2A$34.2AB2.B$33.B2.B!

Code: Select all

x = 9, y = 43, rule = B1S235F23K4L0
6.3B$5.B.A$5.B2A$5.B2.B19$2.A2BA$2.4B16$B2.B$.2AB$.A.B$3B!

Code: Select all

x = 62, y = 62, rule = B1S235F23K4L0
5.B2.B$6.2AB$5.BA.B.B$5.2B.2A$5.3B.A$B.3B.A.3B$.2A2B2AB$.A2.B.2BA2B
$3BA.B.A.A2B$3.2AB.BA.A2B.B2.B$2.B2.B.2BA.A2B.2AB$8.2BA.A2BA.B$9.2B
A.A2B$10.2BA.A2B.2A$9.B.2BA.A3B$10.2A2BA.A2BA$10.A2.2BA.A2B.2B$9.3B
2.2BA.A4B$13.A3BA.A2B.A$13.A.A2BA.A4B$17.2BA.A2B$16.4BA.A3B$16.2B.2B
A.A2BA$18.A3BA.A2B$19.B.2BA.A2B.2B$21.3BA.A2B2.B$22.A2BA.A4B$24.2BA
.A2B.A$25.2BA.A4B$24.B.2BA.A2B$24.B.3BA.A3B$25.2B.2BA.A2BA$27.A3BA.
A2B$28.B.2BA.A2B$30.3BA.A2B$31.A2BA.A2B$33.2BA.A2B$34.2BA.A2B$35.2B
A.A2B$36.2BA.A2B$37.2BA.A2B$38.2BA.A2B$39.2BA.A2B$40.2BA.A2B$41.2BA
.A2B$42.2BA.A2B$43.2BA.A2B4.ABA$44.2BA.A2B3.3BA$45.2BA.A2B3.2B.A$46.
2BA.A2B2.B.3BA$47.2BA.A2B2.A2.2B$48.2BA.A2B.B2.BA$49.2BA.AB.B2A$50.
2BA.A.B.A3B$46.AB3.2BA2B.B2.A$46.4B4.B2A.B2A$46.A2B.A3B.A.3B.B$47.A
.B2.A.B.B$48.AB2.2A.2B$49.3B.B.AB$49.ABA.B2A$53.B2.B!
Brian Prentice

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » September 13th, 2014, 12:20 pm

Two more guns:

Code: Select all

x = 149, y = 63, rule = B1S235F23K4L0
74.B2.B$71.B2.B2A$72.2AB.A.3B$72.A.4B.A$71.3B.A.B2A$75.2AB2.B$74.B2.
B3$145.3B$39.B2.B103.A.B$40.2AB103.2AB$40.A.B102.B2.B$38.4B2.B$39.A
.B2A$39.2AB.A$38.B2.4B$40.B.A$40.B2A$40.B2.B11$72.BA$71.A2B12$105.B
2.B$106.2AB$106.A.B$104.4B2.B$105.A.B2A$105.2AB.A$104.B2.4B$B2.B102.
B.A$B2A103.B2A$B.A103.B2.B$.3B3$71.B2.B$68.B2.B2A$69.2AB.A.3B$69.A.
4B.A$68.3B.A.B2A$72.2AB2.B$71.B2.B!

Code: Select all

x = 43, y = 105, rule = B1S235F23K4L0
3.B2.B$3.B2A$3.B.A$4.3B45$39.B2.B$40.2AB$40.A.B$19.BA18.3B$19.2B$.3B
15.2B$B.A16.BA$B2A$B2.B45$36.3B$37.A.B$37.2AB$36.B2.B!
Brian Prentice

wildmyron
Posts: 1542
Joined: August 9th, 2013, 12:45 am
Location: Western Australia

Re: BSFK rulespace

Post by wildmyron » September 15th, 2014, 6:57 am

bprentice wrote:wildmyron,

Here is the Golly rule tree for rule B1S235F23K4L035:

<snip RULE>
Thank you Brian. I also like your variant, B1S235F23K4L0, particularly the last gun in the post introducing the rule - the natural guns are more common then with L3 (the L5 doesn't make a big difference) but the still life production is not as diverse. Interestingly, the block is stable in both rules but never seems to occur naturally.

I have explored B1S235F23K4L035 a little more in Golly and there are very occasionally natural guns produced within the chaos:

Code: Select all

x = 7, y = 13, rule = B1S235F23K4L035
.B2.B$B.2A$.A.A$.AB.2B$2.A3BA$BA.A$B.2A$.B2.B$B3.BA$B3ABA$2.A.B$.2A$B
2.B!
More commonly, there is a natural c/2 chaotic puffer:

Code: Select all

x = 7, y = 7, rule = B1S235F23K4L035
5.BA$5.2B$.B.A.2B$5.BA$.3B$4B$A2BA!
And a few constructed guns:

Code: Select all

x = 26, y = 27, rule = B1S235F23K4L035
19.2B$19.A.B$19.2AB$4.3B11.B3.3B$3.B.A.A.B8.B.2A.A.B$3.B2A.3B8.B2.A.
2AB$3.B4.A12.B3.B$.2B.2AB2A9.2B.A.B$B.A.B4.B7.A2B.2AB$B2A.2A2.2A10.B
2.BA$3.B3.3B12.2B$7.2BA12.BA$18.4B$18.A2BA3$17.B2.B$5.B2.B8.B2A$5.B2A
8.B2.A$5.B.A9.A2.B$3.B3.3BA6.2AB$3.B2A.AB.BA7.B$3.B.A3.A2B$4.4B2.B$7.
B2A$7.B.A$8.2B![

Code: Select all

x = 27, y = 35, rule = B1S235F23K4L035
22.3B$23.A.B$23.2AB$22.B5$12.B$.2B9.B2A$B.A8.B2.A10.A$B2A9.A2.B5.B2.B
.B$B2.B8.2AB7.2A.2B$11.B2.B4.2B.A2.A$19.A2.B.2A$20.2B.B2$21.4B$21.A2B
A$11.B$9.2A.2B$9.A2.A7.B2.B$8.2B.2A7.B2A$10.B2.B5.B2.A$20.A2.B$20.2AB
$22.B5$14.B3.2B$15.2A.A$15.A.2A$14.2B3.B!
There is also a (rare) natural c/3 ship with p6:

Code: Select all

x = 3, y = 4, rule = B1S235F23K4L035
BA$ABA$A2B$.2B!
Discovering this led me to another 2c/6 ship composed of two copies of the 6c/18 ship (which also works in B1S235F23K4L0):

Code: Select all

x = 2, y = 7, rule = B1S235F23K4L035
A$2B$BA2$BA$2B$A!
And seeing the potential, I stumbled on this reaction:

Code: Select all

x = 2, y = 7, rule = B1S235F23K4L035
AB$2B$.A2$.A$2B$AB!
I'm not even sure how to describe it. It is a clean puffer which moves orthogonally at 2c/17 with p34. To the front it shoots two 6c/18 ships, and to the back it shoots a single 2c/6 ship.

It can be synthesized with two c/2 ships + tagalongs:

Code: Select all

x = 6, y = 11, rule = B1S235F23K4L035
4.2B$4.2B$4BA$A2BA4$A2BA$4BA$4.2B$4.2B!
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » September 15th, 2014, 9:12 pm

A few more. Both rule B1S235F23K4L035 and rule B1S235F23K4L0 support these extensible oscillators:

Code: Select all

x = 38, y = 17, rule = B1S235F23K4L0
27.6B$26.B.A2.A.B$26.B2A2.2AB$26.B.A2.A.B$23.3B.6B.3B$22.B.A.B6.B.A
.B$22.B3AB6.B3AB$22.B3.B6.B3.B$22.B3.B6.B3.B$22.B3AB6.B3AB$22.B.A.B
2.AB2.B.A.B$.6B16.3B.6B.3B$B.A2.A.B18.B.A2.A.B$B2A2.2AB18.B2A2.2AB$
B.A2.A.B18.B.A2.A.B$.6B20.6B$3.AB24.AB!
from which guns can be constructed. Some examples:

Code: Select all

x = 15, y = 77, rule = B1S235F23K4L0
11.3B$10.B.A.B$10.B3AB$4.3B3.B3.B$3.B.A.B2.B3.B$3.B3AB2.B3AB$3.B3.B
2.B.A.B$2.2B3.B3.3B$2.AB3AB2.B.A.B$3.B.A.B2.B3AB$4.3B3.B3.B$10.B3.B
$10.B3AB$10.B.A.B$11.3B13$11.3B$10.B.A.B$10.B3AB$10.B3.B$4.3B3.B3.B
$3.B.A.B2.B3AB$3.B3AB2.B.A.B$2.AB3.B3.3B$3.B3.B2.B.A.B$2.2B3AB2.B3A
B$3.B.A.B2.B3.B$4.3B3.B3.B$10.B3AB$10.B.A.B$11.3B23$.6B.6B$B.A2.A.B
.A2.A.B$B2A2.2AB2A2.2AB$B.A2.A.B.A2.A.B$.6B.6B3$4.6B$3.B.A2.A.B$3.B
2A2.2AB$3.B.A2.A.B$4.6B$7.BA!

Code: Select all

x = 75, y = 13, rule = B1S235F23K4L0
.6B.6B$B.A2.A.B.A2.A.B$B2A2.2AB2A2.2AB$B.A2.A.B.A2.A.B56.B2A$.6B.6B
46.6B.6BA$59.B.A2.A.B.A2.A.2B$59.B2A2.2AB2A2.2AB$4.6B49.B.A2.A.B.A2.
A.B$3.B.A2.A.B30.BA17.6B.6B$3.B2A2.2AB30.2B$3.B.A2.A.B30.2B$4.6B31.
BA$7.BA!
There is also this gun:

Code: Select all

x = 42, y = 37, rule = B1S235F23K4L0
16.B2.BA$16.B2A.2B$16.B.A.2B$17.3B$23.2B15.A$23.2BA11.A2.2B$23.2BA11.
2B.BA$23.2B12.AB7$6.B2.B$6.B2A$6.B.A$7.3B8.A2B$18.3B$18.2B.3B$18.AB
2.A.B$22.2AB$21.B2.B$9.ABA$9.2B2$10.2BA$10.AB3$3B$.A.B$.2AB$B2.B7.3B
$12.A.B$12.2AB$11.B2.B!
Brian Prentice

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Post by c0b0p0 » September 15th, 2014, 9:30 pm

bprentice wrote: 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!

wildmyron
Posts: 1542
Joined: August 9th, 2013, 12:45 am
Location: Western Australia

Re: BSFK rulespace

Post by wildmyron » September 17th, 2014, 6:15 am

A naturally occurring gun for the c/3 ship. The gun becomes quiescent after emitting the ship, but the large spark to the rear of the ship reignites the gun. This inspired me to search for a way to switch it on and off.

Code: Select all

x = 146, y = 15, rule = B1S235F23K4L035
67.B.2A$68.A.A$67.A2.2B$67.2AB$69.B$64.2AB$64.A$63.B.B3$143.2B$BA141.
2BA$2B141.AB$2B$BA!
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » September 18th, 2014, 11:58 am

The next rule in the continuing exploration of the BSFKL rule family is as follows:

Code: Select all

@RULE B0S026F13458K04568L1256

@TREE

num_states=3
num_neighbors=8
num_nodes=111
1 0 0 2
1 0 0 0
1 1 1 2
2 0 1 2
1 0 2 0
2 1 1 4
1 0 1 2
2 2 4 6
3 3 5 7
1 0 1 0
2 1 0 9
2 4 9 4
3 5 10 11
2 6 4 2
3 7 11 13
4 8 12 14
1 0 2 2
2 0 0 16
2 9 16 9
3 10 17 18
3 11 18 11
4 12 19 20
1 1 0 2
2 2 4 22
3 13 11 23
4 14 20 24
5 15 21 25
2 0 1 16
2 16 16 16
3 17 27 28
3 18 28 18
4 19 29 30
2 4 9 1
3 11 18 32
4 20 30 33
5 21 31 34
2 22 1 22
3 23 32 36
4 24 33 37
5 25 34 38
6 26 35 39
2 16 4 16
3 27 5 41
3 28 41 28
4 29 42 43
2 9 16 1
3 18 28 45
4 30 43 46
5 31 44 47
2 1 1 1
3 32 45 49
4 33 46 50
5 34 47 51
6 35 48 52
2 22 1 0
3 36 49 54
4 37 50 55
5 38 51 56
6 39 52 57
7 40 53 58
3 41 11 41
4 42 12 60
2 16 16 0
3 28 41 62
4 43 60 63
5 44 61 64
2 1 0 1
3 45 62 66
4 46 63 67
5 47 64 68
6 48 65 69
3 49 66 49
4 50 67 71
5 51 68 72
6 52 69 73
7 53 70 74
2 0 1 6
3 54 49 76
4 55 71 77
5 56 72 78
6 57 73 79
7 58 74 80
8 59 75 81
2 16 4 0
3 41 11 83
4 60 20 84
5 61 21 85
2 0 0 0
3 62 83 87
4 63 84 88
5 64 85 89
6 65 86 90
3 66 87 66
4 67 88 92
5 68 89 93
6 69 90 94
7 70 91 95
3 49 66 5
4 71 92 97
5 72 93 98
6 73 94 99
7 74 95 100
8 75 96 101
2 6 4 22
3 76 5 103
4 77 97 104
5 78 98 105
6 79 99 106
7 80 100 107
8 81 101 108
9 82 102 109
This rule is notable in that it supports a knight puffer:

Code: Select all

x = 5, y = 5, rule = B0S026F13458K04568L1256
4.A$AB.B$.B.BA$A.AB$2.3A!
some diagonal ship guns:

Code: Select all

x = 35, y = 7, rule = B0S026F13458K04568L1256
2.2A30.A$2.BA28.AB$AB30.2A$2A$5.B23.2A2.B$4.B24.BA.B$28.A!
and some interesting diagonal puffers:

Code: Select all

x = 38, y = 38, rule = B0S026F13458K04568L1256
9.A$3.2A2.AB$3.BA2.2A$.AB$.2A3$.2A$.BA$A3$16.3A$14.A.AB$13.A.3B$14.
B2A.A$12.2ABA9.A$12.A2B4.2A2.AB$12.A2.A3.BA2.2A$17.AB10.ABA$17.2A9.
B.BA$22.B.A$21.B4.B3.A$17.2A4.2A3.A.A5.A$17.BA2.A.2A7.A.2BA$16.A11.
2BA3.3A$22.B3.A4.2B$32.A.2BA$20.B2.A.B3.BA.B2.BA$19.A5.B2.B3.A$19.2B
.2A.A2.A2.A2.B.2A$19.2A5.B3.A3.B.BA$24.A.BABA7.A2$24.BA.B2.2B$24.BA
.2B$23.3A.2A.AB$30.3A!

Code: Select all

x = 28, y = 28, rule = B0S026F13458K04568L1256
17.A2.A$17.A2BA$6.A10.A2.A$4.B.A$3.B$26.A$2.2A15.B3.B.BA$19.B3.B.2A
$19.A2B$10.2A11.B.B$9.A.B8.A.2A.B$9.AB$23.A$26.A$20.A4.BA$20.B4.2A$
17.AB4.AB$3A13.A7.2BA$.B14.B3.A3.2BA$.B4.2BA11.B.A$3A5.B.A3.AB2.AB.
A2.B.2A$8.B11.A3.B.BA$10.A8.A7.A$6.2B.BA.A3.A$16.3B.2B$6.BA.2B3.BA.
2B$5.3A5.3A.2A.AB$20.3A!
Can anyone find or construct a knight ship?

Brian Prentice

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Re: BSFK rulespace

Post by dvgrn » September 18th, 2014, 5:11 pm

bprentice wrote:The next rule in the continuing exploration of the BSFKL rule family is as follows:
...
Can anyone find or construct a knight ship?
The ash objects in this rule seem very stable -- they pretty much repel any future intrusions into the region. So I don't see offhand how to make a Cordership-like combination of knight puffers to suppress each other's ash.

There's an interesting asymmetric diagonal puffer:

Code: Select all

x = 13, y = 13, rule = B0S026F13458K04568L1256
$2.A$2.AB.B$2.2A.B.2B.BAB$11.B$3.AB2.A$3.A2B3.2B2$5.B.A.A$4.2A$7.2B$
8.2B!
I suppose this counts as a very messy replicator -- the number of copies certainly keeps increasing.

wildmyron
Posts: 1542
Joined: August 9th, 2013, 12:45 am
Location: Western Australia

Re: BSFK rulespace

Post by wildmyron » September 22nd, 2014, 5:22 am

Two rakes based on the 4c/34 puffer:

Code: Select all

x = 105, y = 9, rule = B1S235F23K4L035
2B6.A16.AB$2BA4.2B3.A12.4B74.BA$AB5.AB3.2B12.3B74.2B$12.BA12.B.A74.A
2$12.BA12.B.A74.A$AB5.AB3.2B12.3B74.2B$2BA4.2B3.A12.4B74.BA$2B6.A16.A
B!

Code: Select all

x = 94, y = 7, rule = B1S235F23K4L035
A2B89.BA$.2B.2BA85.2B$4.2B86.A2$4.2B86.A$.2B.2BA85.2B$A2B89.BA!
And an interesting interaction between the two different rakes which goes partway to cleaning up the backwards streams from the puffers:

Code: Select all

x = 269, y = 385, rule = B1S235F23K4L035
17$104.A$103.2B10.BA$60.A28.2B12.2B7.AB.2B4.B.2B2.AB32.2B15.A45.A$41.
A2B15.3BA13.BA11.2B11.2B8.2B2.A2.A2B.2B2.2BA3.BA13.BA11.2B14.3BA13.BA
27.3BA$42.2B.2BA11.4B12.A2B13.2BA9.2B8.A6.2B5.2B4.2B12.A2B13.2BA11.4B
12.A2B27.4B$45.2B12.2BA14.2B14.B10.2B28.A14.2B14.B12.2BA14.2B27.2BA2$
45.2B12.2BA14.2B14.B10.2B28.A14.2B14.B12.2BA14.2B27.2BA$42.2B.2BA11.
4B12.A2B13.2BA9.2B8.A6.2B5.2B4.2B12.A2B13.2BA11.4B12.A2B27.4B$41.A2B
15.3BA13.BA11.2B11.2B8.2B2.A2.A2B.2B2.2BA3.BA13.BA11.2B14.3BA13.BA27.
3BA$60.A28.2B12.2B7.AB.2B4.B.2B2.AB32.2B15.A45.A$103.2B10.BA91.3B$
104.A102.A3B$208.2BA$208.AB5$108.ABA$109.2B2$107.A2B$108.BA89.A2B$
199.3B$200.A$200.A2B$200.3B4$110.AB$110.4BA101.2B$111.2B103.2B$111.2B
A$216.3B$217.2B$217.A6$115.ABA$115.3B$115.2B75.A$116.A75.2B$191.3B$
191.ABA8$119.A2B104.BA$120.BA101.A4B$225.2B$224.A2B5$122.3B$122.2BA$
124.A$123.3B$123.2BA57.AB$183.2BA2$182.2B$182.ABA4$127.A.2B$126.2B.2B
$128.B42.2B$127.2B13.A2B26.2B.2B27.2BA$128.A13.3BA25.B2A2B27.4B$142.A
B30.BA27.3BA$204.A9$175.A2B$121.A2BA50.3B$121.4B51.A7$136.A$135.3B$
135.2BA11$168.A$168.2B$168.B$166.2B.2B$166.2B.A4$144.ABA$145.2B2$143.
A2B$144.BA$113.A2BA$113.4B9$159.AB$159.2BA8$151.ABA$151.3B$151.2B$
152.A5$113.BA$36.A16.AB44.AB9.AB.2B4.B.2B2.AB32.2B61.A$35.2B3.A12.4B
12.A2B14.A12.4B7.2B2.A2.A2B.2B2.2BA3.BA13.BA11.2B31.BA27.3BA$35.AB3.
2B12.3B12.3BA13.2B12.3B8.A6.2B5.2B4.2B12.A2B13.2BA27.A2B27.4B$40.BA
12.B.A12.AB15.BA12.B.A28.A14.2B14.B29.2B27.2BA2$40.BA12.B.A12.AB15.BA
12.B.A28.A14.2B14.B29.2B27.2BA$35.AB3.2B12.3B12.3BA13.2B12.3B8.A6.2B
5.2B4.2B12.A2B13.2BA27.A2B27.4B$35.2B3.A12.4B12.A2B14.A12.4B7.2B2.A2.
A2B.2B2.2BA3.BA13.BA11.2B31.BA27.3BA$36.A16.AB44.AB9.AB.2B4.B.2B2.AB
32.2B61.A$113.BA5$152.A$151.2B$151.3B$151.ABA8$159.2BA$159.AB9$113.4B
$113.A2BA$144.BA$143.A2B2$145.2B$144.ABA4$166.2B.A$166.2B.2B$168.B$
168.2B$168.A11$135.2BA$135.3B$136.A7$121.4B51.A$121.A2BA50.3B$175.A2B
9$204.A$142.AB30.BA27.3BA$128.A13.3BA25.B2A2B27.4B$127.2B13.A2B26.2B.
2B27.2BA$128.B42.2B$126.2B.2B$127.A.2B4$182.ABA$182.2B2$183.2BA$123.
2BA57.AB$123.3B$124.A$122.2BA$122.3B5$224.A2B$225.2B$120.BA101.A4B$
119.A2B104.BA8$191.ABA$191.3B$116.A75.2B$115.2B75.A$115.3B$115.ABA6$
217.A$217.2B$216.3B$111.2BA$111.2B103.2B$110.4BA101.2B$110.AB4$200.3B
$200.A2B$200.A$199.3B$108.BA89.A2B$107.A2B2$109.2B$108.ABA5$208.AB$
208.2BA$104.A102.A3B$103.2B10.BA91.3B$60.A28.2B12.2B7.AB.2B4.B.2B2.AB
32.2B15.A45.A$41.A2B15.3BA13.BA11.2B11.2B8.2B2.A2.A2B.2B2.2BA3.BA13.B
A11.2B14.3BA13.BA27.3BA$42.2B.2BA11.4B12.A2B13.2BA9.2B8.A6.2B5.2B4.2B
12.A2B13.2BA11.4B12.A2B27.4B$45.2B12.2BA14.2B14.B10.2B28.A14.2B14.B
12.2BA14.2B27.2BA2$45.2B12.2BA14.2B14.B10.2B28.A14.2B14.B12.2BA14.2B
27.2BA$42.2B.2BA11.4B12.A2B13.2BA9.2B8.A6.2B5.2B4.2B12.A2B13.2BA11.4B
12.A2B27.4B$41.A2B15.3BA13.BA11.2B11.2B8.2B2.A2.A2B.2B2.2BA3.BA13.BA
11.2B14.3BA13.BA27.3BA$60.A28.2B12.2B7.AB.2B4.B.2B2.AB32.2B15.A45.A$
103.2B10.BA$104.A!
dvgrn wrote:
bprentice wrote:The next rule in the continuing exploration of the BSFKL rule family is as follows:
...
Can anyone find or construct a knight ship?
The ash objects in this rule seem very stable -- they pretty much repel any future intrusions into the region. So I don't see offhand how to make a Cordership-like combination of knight puffers to suppress each other's ash.
I had a go at constructing a knightship in two ways:

* line puffer style - the puffer is very sparky and when they are close enough to interact at least one always seem to be destroyed or deflected.

* cordership style - as dvgrn mentioned the ash is very stable, I haven't yet seen an interaction which destroys the 5-bit X still life.

I think a different front end is more likely than a ship constructed from the puffers, or perhaps a slight rule modification will contain a knightship similar to the puffer.
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

c0b0p0
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Post by c0b0p0 » September 22nd, 2014, 11:06 pm

wildmyron wrote:A naturally occurring gun for the c/3 ship. The gun becomes quiescent after emitting the ship, but the large spark to the rear of the ship reignites the gun. This inspired me to search for a way to switch it on and off.
Here is a way to turn my 10-cell slowship gun on and off with the same type of spaceship.

Code: Select all

x = 20, y = 63, rule = B1S345678F2378K468L03568
18.2A$18.2A$17.B5$12.AB$12.2BA53$AB$2BA!
 

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » October 1st, 2014, 7:41 pm

Here is the latest BSFKL rule. Amongst other things it supports a variety of guns. Some light relief from the heavy topics discussed here recently.

The rule tree:

Code: Select all

@RULE B268S3456F01356K268L034678

@TREE

num_states=3
num_neighbors=8
num_nodes=119
1 0 2 0
1 0 2 2
2 0 1 0
1 1 2 2
2 1 3 1
1 0 0 0
2 0 1 5
3 2 4 6
1 0 1 0
2 3 8 3
1 0 0 2
2 1 3 10
3 4 9 11
2 5 10 0
3 6 11 13
4 7 12 14
2 8 8 8
2 3 8 10
3 9 16 17
2 10 10 1
3 11 17 19
4 12 18 20
3 13 19 2
4 14 20 22
5 15 21 23
1 0 1 2
2 8 25 8
2 8 8 5
3 16 26 27
2 10 5 3
3 17 27 29
4 18 28 30
3 19 29 4
4 20 30 32
5 21 31 33
3 2 4 2
4 22 32 35
5 23 33 36
6 24 34 37
1 1 1 0
2 25 39 25
2 8 25 5
3 26 40 41
2 5 5 8
3 27 41 43
4 28 42 44
2 3 8 1
3 29 43 46
4 30 44 47
5 31 45 48
2 1 1 1
3 4 46 50
4 32 47 51
5 33 48 52
6 34 49 53
3 2 50 6
4 35 51 55
5 36 52 56
6 37 53 57
7 38 54 58
2 39 0 39
2 25 39 10
3 40 60 61
2 5 10 8
3 41 61 63
4 42 62 64
3 43 63 16
4 44 64 66
5 45 65 67
2 1 8 3
3 46 16 69
4 47 66 70
5 48 67 71
6 49 68 72
3 50 69 11
4 51 70 74
5 52 71 75
6 53 72 76
7 54 73 77
4 55 74 14
5 56 75 79
6 57 76 80
7 58 77 81
8 59 78 82
1 1 2 0
2 0 84 0
2 39 0 5
3 60 85 86
2 10 5 25
3 61 86 88
4 62 87 89
3 63 88 26
4 64 89 91
5 65 90 92
3 16 26 16
4 66 91 94
5 67 92 95
6 68 93 96
1 1 0 2
2 3 8 98
3 69 16 99
4 70 94 100
5 71 95 101
6 72 96 102
7 73 97 103
2 10 98 1
3 11 99 105
4 74 100 106
5 75 101 107
6 76 102 108
7 77 103 109
8 78 104 110
3 13 105 6
4 14 106 112
5 79 107 113
6 80 108 114
7 81 109 115
8 82 110 116
9 83 111 117
and some guns:

Code: Select all

x = 15, y = 60, rule = B268S3456F01356K268L034678
9.A$8.BAB3$4.B9.B$4.B4A.4AB$4.B4A.4AB$4.B9.B$4B$.2A$.2A5.BAB$.2A6.A
$.2A$.2A$.2A6.A$.2A5.BAB$.2A$4B$4.B9.B$4.B4A.4AB$4.B4A.4AB$4.B9.B3$
8.BAB$9.A9$9.A$8.BAB3$4.B9.B$4.B4A.4AB$4.B4A.4AB$4.B9.B3$8.BAB$9.A3$
9.A$8.BAB3$4.B9.B$4.B4A.4AB$4.B4A.4AB$4.B9.B3$8.BAB$9.A!

Code: Select all

x = 36, y = 102, rule = B268S3456F01356K268L034678
21.B8.B$21.B8AB$21.B8AB$21.B8.B$17.4B10.4B$18.2A12.2A$18.2A12.2A$16.
B.2A.B3.2A3.B.2A.B$17.4A3.4B3.4A2$17.4A3.4B3.4A$16.B.2A.B3.2A3.B.2A
.B$18.2A12.2A$18.2A12.2A$17.4B10.4B5$7.B.A.B$4.B3.B.B3.B$4.B9AB$4.B
9AB$4.B3.B.B3.B10.2B$4B3.B.A.B13.2A$.2A$.2A$.2A5.B.B$.2A3.A2B.2BA10.
B.A$.2A3.A2B.2BA10.B.A$.2A5.B.B$.2A$.2A$4B3.B.A.B13.2A$4.B3.B.B3.B10.
2B$4.B9AB$4.B9AB$4.B3.B.B3.B$7.B.A.B5$17.4B10.4B$18.2A12.2A$18.2A12.
2A$16.B.2A.B3.2A3.B.2A.B$17.4A3.4B3.4A2$17.4A3.4B3.4A$16.B.2A.B3.2A
3.B.2A.B$18.2A12.2A$18.2A12.2A$17.4B10.4B$21.B8.B$21.B8AB$21.B8AB$21.
B8.B6$21.B8.B$21.B8AB$21.B8AB$21.B8.B$17.4B10.4B$18.2A12.2A$18.2A12.
2A$16.B.2A.B3.2A3.B.2A.B$17.4A3.4B3.4A2$17.4A3.4B3.4A$16.B.2A.B3.2A
3.B.2A.B$18.2A12.2A$18.2A12.2A$17.4B10.4B5$7.B.A.B$4.B3.B.B3.B$4.B9A
B$4.B9AB$4.B3.B.B3.B10.2B$4B3.B.A.B13.2A$.2A$.2A$.2A5.B.B$.2A3.A2B.
2BA10.B.A$.2A3.A2B.2BA10.B.A$.2A5.B.B$.2A$.2A$4B3.B.A.B$4.B3.B.B3.B
$4.B9AB$4.B9AB$4.B3.B.B3.B$7.B.A.B!

Code: Select all

x = 40, y = 39, rule = B268S3456F01356K268L034678
23.B8.B$23.B8AB$23.B8AB$23.B8.B$19.4B10.4B$20.2A12.2A$20.2A12.2A$18.
B.2A.B3.2A3.B.2A.B$19.4A3.4B3.4A2$19.4A3.4B3.4A$18.B.2A.B3.2A3.B.2A
.B$20.2A12.2A$20.2A12.2A$19.4B10.4B2$30.B8.B$30.B8AB$30.B8AB$7.B.A.
B18.B8.B$4.B3.B.B3.B$4.B9AB$4.B9AB$4.B3.B.B3.B$4B3.B.A.B$.2A$.2A$.2A
5.B.B$.2A3.A2B.2BA$.2A3.A2B.2BA$.2A5.B.B$.2A$.2A$4B3.B.A.B$4.B3.B.B
3.B$4.B9AB$4.B9AB$4.B3.B.B3.B$7.B.A.B!

Code: Select all

x = 39, y = 126, rule = B268S3456F01356K268L034678
5.B8.B$5.B8AB$5.B8AB$5.B8.B$.4B10.4B$2.2A12.2A$2.2A12.2A$B.2A.B3.2A
3.B.2A.B$.4A3.4B3.4A2$.4A3.4B3.4A$B.2A.B3.2A3.B.2A.B$2.2A12.2A$2.2A
12.2A$.4B10.4B$28.B.B3$27.AB.BA$24.B3.3A3.B$24.B4A.4AB$24.B4A.4AB$24.
B3.3A3.B$9.2B16.AB.BA3.4B$9.2A25.2A$36.2A$28.B.B5.2A$15.A.B10.A.A5.
2A$15.A.B10.A.A5.2A$28.B.B5.2A$19.4B13.2A$9.A.A8.2A14.2A$20.2A5.AB.
BA3.4B$8.B3.A7.2A2.B3.3A3.B$20.2A2.B4A.4AB$8.A2.A8.2A2.B4A.4AB$20.2A
2.B3.3A3.B$9.2A9.2A5.AB.BA$20.2A$19.4B$28.B.B18$33.B.A$33.B.A7$33.B
.A$33.B.A18$28.B.B$19.4B$20.2A$9.2A9.2A5.AB.BA$20.2A2.B3.3A3.B$8.A2.
A8.2A2.B4A.4AB$20.2A2.B4A.4AB$8.B3.A7.2A2.B3.3A3.B$20.2A5.AB.BA3.4B
$9.A.A8.2A14.2A$19.4B13.2A$28.B.B5.2A$15.A.B10.A.A5.2A$15.A.B10.A.A
5.2A$28.B.B5.2A$36.2A$9.2A25.2A$9.2B16.AB.BA3.4B$24.B3.3A3.B$24.B4A
.4AB$24.B4A.4AB$24.B3.3A3.B$27.AB.BA3$28.B.B$.4B10.4B$2.2A12.2A$2.2A
12.2A$B.2A.B3.2A3.B.2A.B$.4A3.4B3.4A2$.4A3.4B3.4A$B.2A.B3.2A3.B.2A.
B$2.2A12.2A$2.2A12.2A$.4B10.4B$5.B8.B$5.B8AB$5.B8AB$5.B8.B!

Code: Select all

x = 38, y = 75, rule = B268S3456F01356K268L034678
24.B8.B$24.B8AB$24.B8AB$24.B8.B32$16.4B$17.2A$17.2A$4.B9.B2.2A$4.B4A
.4AB2.2A$4.B4A.4AB2.2A$4.B9.B2.2A$4B13.2A$.2A14.2A$.2A13.4B$.2A$.2A
2.A.B3.B.A$.2A2.A.B3.B.A$.2A$.2A$.2A$4B$4.B9.B$4.B4A.4AB$4.B4A.4AB$
4.B9.B5$20.4B4.2A4.4B$21.2A5.2B5.2A$21.2A12.2A$21.2A12.2A$20.4A10.4A
$20.A2.A10.A2.A$20.4A10.4A$21.2A12.2A$21.2A12.2A$21.2A5.2B5.2A$20.4B
4.2A4.4B$24.B8.B$24.B8AB$24.B8AB$24.B8.B!

Code: Select all

x = 75, y = 129, rule = B268S3456F01356K268L034678
42.B8.B$42.B8AB$42.B8AB$42.B8.B$38.4B10.4B$39.2A12.2A$39.2A12.2A$39.
2A12.2A$34.2B.6A.2B2.2B.6A.2B$33.A4.A2.A4.2A4.A2.A4.A$34.2B.6A.2B2.
2B.6A.2B$39.2A12.2A$39.2A12.2A$39.2A12.2A$38.4B10.4B2$35.B8.B19.B.B
$35.B8AB$35.B8AB$35.B8.B18.AB.BA$60.B3.3A3.B$46.2B12.B4A.4AB$46.2A12.
B4A.4AB$60.B3.3A3.B$4B59.AB.BA3.4B$.2A69.2A$.2A69.2A$.2A61.B.B5.2A$
.2A48.A.B10.A.A5.2A$.2A48.A.B10.A.A5.2A$.2A61.B.B5.2A$.2A69.2A$.2A69.
2A$4B59.AB.BA3.4B$60.B3.3A3.B$13.B25.B20.B4A.4AB$13.B25AB20.B4A.4AB
$13.B25AB20.B3.3A3.B$13.B25.B23.AB.BA3$64.B.B49$13.B25.B23.B3.B$13.
B25AB20.B3.A.A3.B$13.B25AB20.B4A.4AB$13.B25.B20.B4A.4AB$60.B3.A.A3.
B$4B59.B3.B3.4B$.2A69.2A$.2A69.2A$.2A61.B.B5.2A$.2A47.AB11.AB.BA4.2A
$.2A47.AB11.AB.BA4.2A$.2A61.B.B5.2A$.2A69.2A$.2A69.2A$4B59.B3.B3.4B
$46.2A12.B3.A.A3.B$60.B4A.4AB$46.2B12.B4A.4AB$60.B3.A.A3.B$35.B8.B18.
B3.B$35.B8AB$35.B8AB$35.B8.B2$38.4B10.4B$39.2A12.2A$39.2A12.2A$37.A
.2A.A8.A.2A.A$34.B2.B4AB2.B2AB2.B4AB2.B$38.A2.A10.A2.A$34.B2.B4AB2.
B2AB2.B4AB2.B$37.A.2A.A8.A.2A.A$39.2A12.2A$39.2A12.2A$38.4B10.4B$42.
B8.B$42.B8AB$42.B8AB$42.B8.B!

Code: Select all

x = 145, y = 129, rule = B268S3456F01356K268L034678
42.B8.B$42.B8AB$42.B8AB$42.B8.B$38.4B10.4B$39.2A12.2A$39.2A12.2A$39.
2A12.2A$34.2B.6A.2B2.2B.6A.2B$33.A4.A2.A4.2A4.A2.A4.A$34.2B.6A.2B2.
2B.6A.2B$39.2A12.2A$39.2A12.2A$39.2A12.2A$38.4B10.4B2$35.B8.B19.B.B
$35.B8AB$35.B8AB$35.B8.B18.AB.BA$60.B3.3A3.B$46.2B12.B4A.4AB$46.2A12.
B4A.4AB$60.B3.3A3.B$4B59.AB.BA3.4B$.2A69.2A$.2A69.2A$.2A61.B.B5.2A$
.2A48.A.B10.A.A5.2A$.2A48.A.B10.A.A5.2A$.2A61.B.B5.2A$.2A69.2A$.2A69.
2A$4B59.AB.BA3.4B$60.B3.3A3.B$13.B25.B20.B4A.4AB$13.B25AB20.B4A.4AB
$13.B25AB20.B3.3A3.B$13.B25.B23.AB.BA3$64.B.B5$141.4B$142.2A$142.2A
$142.2A$142.2A$142.2A$142.2A$142.2A$142.2A$141.4B4$141.4B$142.2A$142.
2A$142.2A$142.2A$142.2A$142.2A$142.2A$142.2A$141.4B22$13.B25.B23.B3.
B$13.B25AB20.B3.A.A3.B$13.B25AB20.B4A.4AB$13.B25.B20.B4A.4AB$60.B3.
A.A3.B$4B59.B3.B3.4B$.2A69.2A$.2A69.2A$.2A61.B.B5.2A$.2A47.AB11.AB.
BA4.2A$.2A47.AB11.AB.BA4.2A$.2A61.B.B5.2A$.2A69.2A$.2A69.2A$4B59.B3.
B3.4B$46.2A12.B3.A.A3.B$60.B4A.4AB$46.2B12.B4A.4AB$60.B3.A.A3.B$35.
B8.B18.B3.B$35.B8AB$35.B8AB$35.B8.B2$38.4B10.4B$39.2A12.2A$39.2A12.
2A$37.A.2A.A8.A.2A.A$34.B2.B4AB2.B2AB2.B4AB2.B$38.A2.A10.A2.A$34.B2.
B4AB2.B2AB2.B4AB2.B$37.A.2A.A8.A.2A.A$39.2A12.2A$39.2A12.2A$38.4B10.
4B$42.B8.B$42.B8AB$42.B8AB$42.B8.B!

Code: Select all

x = 51, y = 62, rule = B268S3456F01356K268L034678
37.B8.B$37.B8AB$37.B8AB$37.B8.B$33.4B10.4B$34.2A5.2A5.2A$34.2A12.2A
$34.2A5.2B5.2A$34.2A12.2A2$34.2A12.2A$34.2A5.2B5.2A$34.2A12.2A$34.2A
5.2A5.2A$33.4B10.4B11$41.2B$41.2A11$4.B9.B26.2B$4.B4A.4AB$4.B4A.4AB
26.2A$4.B9.B$4B$.2A$.2A$.2A$.2A2.A.B3.B.A11.BA10.B.A$.2A2.A.B3.B.A11.
BA10.B.A$.2A$.2A23.B8.B$.2A23.B8AB$4B22.B8AB$4.B9.B11.B8.B$4.B4A.4A
B7.4B$4.B4A.4AB8.2A$4.B9.B8.2A$23.2A$23.2A$23.2A$23.2A$23.2A$23.2A$
22.4B!

Code: Select all

x = 51, y = 62, rule = B268S3456F01356K268L034678
37.B8.B$37.B8AB$37.B8AB$37.B8.B$33.4B10.4B$34.2A5.2A5.2A$34.2A12.2A
$34.2A5.2B5.2A$34.2A12.2A2$34.2A12.2A$34.2A5.2B5.2A$34.2A12.2A$34.2A
5.2A5.2A$33.4B10.4B11$41.2B$41.2A11$4.B9.B26.2B$4.B4A.4AB15.B8.B$4.
B4A.4AB15.B8AB.2A$4.B9.B15.B8AB$4B26.B8.B$.2A$.2A$.2A$.2A2.A.B3.B.A
11.BA10.B.A$.2A2.A.B3.B.A11.BA10.B.A$.2A$.2A$.2A$4B$4.B9.B$4.B4A.4A
B7.4B$4.B4A.4AB8.2A$4.B9.B8.2A$23.2A$23.2A$23.2A$23.2A$23.2A$23.2A$
22.4B!

Code: Select all

x = 74, y = 61, rule = B268S3456F01356K268L034678
41.B8.B$41.B8AB$41.B8AB$41.B8.B5$9.A$7.AB.BA$4.B3.3A3.B55.4B$4.B4A.
4AB56.2A$4.B4A.4AB56.2A$4.B3.3A3.B56.2A$4B3.AB.BA59.2A$.2A6.A61.2A$
.2A68.2A$.2A68.2A$.2A12.BA10.B.A11.BA2.2A24.2A$.2A12.BA10.B.A11.BA2.
2B24.2A$.2A68.2A$.2A35.4B29.2A$.2A6.A29.2A29.4B$4B3.AB.BA27.2A$4.B3.
3A3.B24.2A$4.B4A.4AB24.2A$4.B4A.4AB24.2A$4.B3.3A3.B24.2A$7.AB.BA27.
2A$9.A29.2A$38.4B$45.2A2$45.2B2$52.B8.B$52.B8AB$52.B8AB$52.B8.B6$45.
2A$45.2B$37.4B10.4B$38.2A12.2A$38.2A12.2A$36.A.2A.A8.A.2A.A$36.B4AB
8.B4AB$35.A.A2.A.A6.A.A2.A.A$36.B4AB8.B4AB$36.A.2A.A8.A.2A.A$38.2A12.
2A$38.2A12.2A$37.4B10.4B$41.B8.B$41.B8AB$41.B8AB$41.B8.B!

Code: Select all

x = 4, y = 6, rule = B268S3456F01356K268L034678
2.B$.3A$B2.B$A2.A$.2B$.2A!

Code: Select all

x = 93, y = 93, rule = B268S3456F01356K268L034678
47.B8.B$47.B8AB$47.B8AB$47.B8.B33$4B$.2A$.2A$.2A$.2A$.2A$.2A$.2A$.2A
$4B2$89.4B$90.2A$41.B48.2A$40.3A47.2A$39.B2.B47.2A$39.A2.A47.2A$40.
2B48.2A$40.2A48.2A$90.2A$89.4B33$36.B8.B$36.B8AB$36.B8AB$36.B8.B!

Code: Select all

x = 66, y = 180, rule = B268S3456F01356K268L034678
14.B8.B$14.B8AB$14.B8AB$14.B8.B$10.4B10.4B$11.2A12.2A$11.2A12.2A$11.
2A12.2A$6.AB2.4A2.BA2.AB2.4A2.BA$10.A2.A10.A2.A$6.AB2.4A2.BA2.AB2.4A
2.BA$11.2A12.2A$11.2A12.2A$11.2A12.2A$10.4B10.4B5$18.2B2$18.2A12$18.
2B30.A.A$18.2A30.B.B3$46.B3.3A3.B$21.B8.B15.B4A.4AB$21.B8AB15.B4A.4A
B$21.B8AB15.B3.3A3.B$4B13.A3.B8.B26.4B$.2A15.B39.2A$.2A11.BA.A32.B.
B5.2A$.2A10.3A.B32.A.A5.2A$.2A10.B3.B8.AB11.A.B16.2A$.2A23.AB11.A.B
16.2A$.2A47.A.A5.2A$.2A47.B.B5.2A$.2A55.2A$4B53.4B$46.B3.3A3.B$14.A
20.4B7.B4A.4AB$13.BAB20.2A8.B4A.4AB$14.3A19.2A8.B3.3A3.B$16.B19.2A$
15.2A19.2A$12.B2.B20.2A12.B.B$12.A2.A20.2A12.A.A$13.2B21.2A$13.2A21.
2A$35.4B7$28.2BA$29.B$10.B11.B5.A.A$10.B11AB$10.B11AB$10.B11.B$6.4B
$7.2A$7.2A$7.2A$7.2A$7.2A29.4B$7.2A30.2A$7.2A30.2A$7.2A30.2A$7.2A30.
2A$7.2A30.2A$7.2A30.2A$7.2A29.4B$7.2A$7.2A19.BA$7.2A19.BAB$7.2A20.A
$7.2A$7.2A$7.2A$7.2A$7.2A19.A.A$7.2A20.B$7.2A19.2BA$7.2A$7.2A$7.2A$
7.2A$7.2A$7.2A$7.2A$6.4B$10.B11.B15.B26.B$10.B11AB15.B26AB$10.B11AB
15.B26AB$10.B11.B15.B26.B5$29.A$28.BAB$31.A$29.B$35.4B$36.2A$36.2A$
36.2A12.B.B$36.2A$36.2A$36.2A11.AB.BA$36.2A8.B3.3A3.B$36.2A8.B4A.4A
B$35.4B7.B4A.4AB$46.B3.3A3.B$4B45.AB.BA3.4B$.2A10.2A43.2A$.2A9.B9.A
B34.2A$.2A12.B6.2B3.B22.B.B5.2A$.2A13.B.B2.2A3.B10.A.B10.A.A5.2A$.2A
7.B2.A3.2B2.B5.B9.A.B10.A.A5.2A$.2A7.B2A2.A5.2A5.B21.B.B5.2A$.2A8.A
B9.2B34.2A$.2A9.A.A43.2A$4B17.B8.B18.AB.BA3.4B$21.B8AB15.B3.3A3.B$21.
B8AB15.B4A.4AB$21.B8.B15.B4A.4AB$46.B3.3A3.B$18.2A29.AB.BA$18.2B2$50.
B.B10$18.2A2$18.2B7$10.4B10.4B$11.2A12.2A$11.2A12.2A$9.A.2A.A8.A.2A
.A$6.B2.B4AB2.B2AB2.B4AB2.B$10.A2.A10.A2.A$6.B2.B4AB2.B2AB2.B4AB2.B
$9.A.2A.A8.A.2A.A$11.2A12.2A$11.2A12.2A$10.4B10.4B$14.B8.B$14.B8AB$
14.B8AB$14.B8.B!
Brian Prentice

wildmyron
Posts: 1542
Joined: August 9th, 2013, 12:45 am
Location: Western Australia

Re: BSFK rulespace

Post by wildmyron » October 2nd, 2014, 1:48 am

bprentice wrote:Here is the latest BSFKL rule. Amongst other things it supports a variety of guns. Some light relief from the heavy topics discussed here recently.
...
A beautiful rule. I particularly like the breeder which uses three types of ship to synthesize the rakes. Have you tried to engineer guns or other patterns with the near replicator? (I only ask because this seems to be a common technique you use.)

Code: Select all

x = 7, y = 4, rule = B268S3456F01356K268L034678
2.ABA$AB3.BA$AB3.BA$2.ABA!
A single copy creates too copies after six generations, but after that they interfere to create the patterns I like so much about the rule.

Here is a backrake based on the near replicator:

Code: Select all

x = 19, y = 16, rule = B268S3456F01356K268L034678
5.BA$7.BA$7.BA$3.B.BA$2.B$.2A$ABA11.ABA$.B10.AB3.BA$.B10.AB3.BA$ABA
11.ABA$.2A$2.B$3.B.BA$7.BA$7.BA$5.BA!
And here is a naturally occurring growing ship / wickstretcher(?) which I particularly like. The front end moves at c and the wick/fuse burns at c/2.

Code: Select all

x = 11, y = 13, rule = B268S3456F01356K268L034678
5.A.A$3.A5.A$.B.B6.A$.B.AB5.A$2B2.A3.A$.B2.A.A2$.B2.A.A$2B2.A3.A$.B.A
B5.A$.B.B6.A$3.A5.A$5.A.A!
Edit: A sawtooth:

Code: Select all

x = 25, y = 28, rule = B268S3456F01356K268L034678
6.A11.A$4.A15.A$4.A15.A$6.A11.A3$2.A19.A$A3.A15.A3.A$A3.A15.A3.A$2.A
19.A3$6.A11.A$4.A3.A7.A3.A$4.A3.A7.A3.A$6.A11.A3$2.A19.A$A3.A15.A3.A$
A3.A15.A3.A$2.A19.A3$6.A11.A$4.A15.A$4.A15.A$6.A11.A!
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » October 2nd, 2014, 7:15 am

wildmyron wrote: Have you tried to engineer guns or other patterns with the near replicator? (I only ask because this seems to be a common technique you use.)

Code: Select all

x = 7, y = 4, rule = B268S3456F01356K268L034678
2.ABA$AB3.BA$AB3.BA$2.ABA!
Not yet, but notice that at step 250 your pattern produces this oscillator at its center

Code: Select all

x = 41, y = 74, rule = B268S3456F01356K268L034678
20.A$19.BAB3$15.B9.B$15.B4A.4AB$15.B4A.4AB$15.B9.B3$19.BAB$20.A12$20.
A$19.BAB3$15.B9.B$15.B4A.4AB$15.B4A.4AB$15.B9.B2$4B33.4B$.2A16.BAB16.
2A$.2A17.A17.2A$.2A6.AB19.BA6.2A$.2A6.AB19.BA6.2A$.2A17.A17.2A$.2A16.
BAB16.2A$4B33.4B2$15.B9.B$15.B4A.4AB$15.B4A.4AB$15.B9.B3$19.BAB$20.
A12$11.B7.3A7.B$11.B8A.8AB$11.B8A.8AB$4B7.B7.3A7.B7.4B$.2A35.2A$.2A
35.2A$.2A2.AB27.BA2.2A$.2A2.AB27.BA2.2A$.2A35.2A$.2A35.2A$4B7.B7.3A
7.B7.4B$11.B8A.8AB$11.B8A.8AB$11.B7.3A7.B!
which is the bases for most of the guns.
wildmyron wrote: And here is a naturally occurring growing ship / wickstretcher(?) which I particularly like. The front end moves at c and the wick/fuse burns at c/2.
Here is another one:

Code: Select all

x = 18, y = 35, rule = B268S3456F01356K268L034678
12.A.A$10.A5.A$8.B.B6.A$8.B.AB5.A$7.2B2.A3.A$8.B2.A.A2$8.B2.A.A$7.2B
2.A3.A$8.B.AB5.A$8.B.B6.A$10.A5.A$12.A.A11$11.A2.A$15.A$10.BA4.A$16.A
$B$2.16A$3.15A$.2B$16.A$10.BA4.A$15.A$11.A2.A!
wildmyron wrote: A sawtooth:
Amazing!

Brian Prentice

wildmyron
Posts: 1542
Joined: August 9th, 2013, 12:45 am
Location: Western Australia

Re: BSFK rulespace

Post by wildmyron » October 3rd, 2014, 12:04 am

bprentice wrote:
wildmyron wrote: And here is a naturally occurring growing ship / wickstretcher(?) which I particularly like. The front end moves at c and the wick/fuse burns at c/2.
Here is another one:

Code: Select all

x = 18, y = 35, rule = B268S3456F01356K268L034678
12.A.A$10.A5.A$8.B.B6.A$8.B.AB5.A$7.2B2.A3.A$8.B2.A.A2$8.B2.A.A$7.2B
2.A3.A$8.B.AB5.A$8.B.B6.A$10.A5.A$12.A.A11$11.A2.A$15.A$10.BA4.A$16.A
$B$2.16A$3.15A$.2B$16.A$10.BA4.A$15.A$11.A2.A!
A rake for the growing ship / wickstretcher:

Code: Select all

x = 112, y = 145, rule = B268S3456F01356K268L034678
9$97.2A$97.3A$95.4A.A$94.2A.2BAB$95.4A$93.3A2.A.B3.2A$94.AB3A$94.ABA.
BA3.A2.A$94.2A.B$92.4A4.B3.A.B$92.AB6.2B$93.A3.B2.A$94.B.B4.A3.A$96.B
5.AB$92.B.2B7.A$86.AB.B.A2.B.B6.A2.A$85.A.A2.3A4.B9.A$84.9AB2.B5.B.2A
$84.3AB2A15.A$86.A.2AB3.2BA9.B$86.5A$87.A.2B2$78.A2B2.BA.A2.A.A$77.A.
A6.B.5A$76.4A2.2AB4.3A.B$76.4A2.2A5.B2.B$78.A.3A.BA4.B$78.AB2.3A2B.2B
$89.A$85.2B2A$70.A2B8.B.A3.2A$69.A.A10.A2.B.A$68.6A.B4.B3AB.BA$68.4A.
3A3.B.2A$70.A3.A7.2A$70.A2B7.B.B3$62.A2B16.B.B3.B.A$61.A.A8.A2.ABA3.A
.BA3.3A$60.13A.A.BA2.5A.B3AB$60.4A.8A.B2A4.2A2.A.B3A$62.A9.A.B5.B.A3.
3A$62.A2B19.B2.3A$81.B4.3A$85.B$54.A2B16.A8.A2.A.2B$53.A.A16.A.A7.A.B
9.A$52.21AB3A15.B$52.4A.20A7.B6.A$54.A18.A.A16.A2.A$54.A2B15.BA22.A$
73.B12.ABA7.A$72.B2.2A8.B.B4.2B.A$46.A2B22.2B2.AB3.AB3.B.B4.2BA9.2A$
45.A.A25.3A4.A.B21.2B$44.32AB3.A.B20.A2.A$44.4A.24A3.A2.B.B21.B2.B$
46.A$46.A2B25.B5.A.B$71.B3.B2.5B2.2B$74.2A2.B8.A.B$38.A2B31.B11.B2A2.
A$37.A.A31.A.B10.A2.2B$36.36AB14.2A$36.4A.32A$38.A32.A$38.A2B37.B$72.
B2.A$71.B3.BA.BA8.A$30.A2B37.BAB.B2AB8.A$29.A.A40.B.BA14.B$28.44A.B.B
$28.4A.36A5.2B10.A3.A4.2A$30.A37.AB19.A$30.A2B54.2A5.A2.A2$95.A.B$22.
A2B$21.A.A47.BA19.A$20.52AB23.A$20.4A.46A22.AB$22.A47.2B22.A.A$22.A2B
3$14.A2B78.B$13.A.A47.B33.B$12.50A30.A$12.4A.44A31.A9.2A$14.A46.2B27.
A$14.A2B84.A2.A$100.A$100.2B2.B$6.A2B$5.A.A55.AB$4.59AB$4.4A.54A27.B$
6.A55.AB$6.A2B81.AB2$80.2A2$79.A2.A3.B$89.B$79.B.A4.A$89.A$84.A2.2A$
80.A2$80.A4.A$86.A$79.B3.A.B$81.3AB$79.B3.A.B$81.B3.A$83.A3$90.2A2$
89.A2.A$88.A$88.2B2.B!
I was trying to find a way to burn the beam at c, but found a c/3 backend instead:

Code: Select all

x = 22, y = 6, rule = B268S3456F01356K268L034678
2.A2B$.A.A16.AB$21A$4A.16A$2.A17.AB$2.A2B!
The 5S project (Smallest Spaceships Supporting Specific Speeds) is now maintained by AforAmpere. The latest collection is hosted on GitHub and contains well over 1,000,000 spaceships.

Semi-active here - recovering from a severe case of LWTDS.

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Post by bprentice » October 3rd, 2014, 4:52 am

wildmyron wrote: I was trying to find a way to burn the beam at c, but found a c/3 backend instead:

Code: Select all

x = 22, y = 6, rule = B268S3456F01356K268L034678
2.A2B$.A.A16.AB$21A$4A.16A$2.A17.AB$2.A2B!
I also found that one yesterday. Here is a period 12 gun based on the failed replicator:

Code: Select all

x = 41, y = 57, rule = B268S3456F01356K268L034678
4B33.4B$.2A5.ABA19.ABA5.2A$.2A3.AB.B.BA15.AB.B.BA3.2A$.2A.AB3.B3.BA
11.AB3.B3.BA.2A$.2A.AB3.B3.BA11.AB3.B3.BA.2A$.2A3.AB.B.BA15.AB.B.BA
3.2A$.2A5.ABA19.ABA5.2A$.2A34.4B$.2A$.2A$.2A$.2A$.2A$.2A$.2A34.4B$.
2A5.ABA19.ABA5.2A$.2A3.AB.B.BA15.AB.B.BA3.2A$.2A.AB3.B3.BA11.AB3.B3.
BA.2A$.2A.AB3.B3.BA11.AB3.B3.BA.2A$.2A3.AB.B.BA15.AB.B.BA3.2A$.2A5.
ABA19.ABA5.2A$4B33.4B14$4B33.4B$.2A5.ABA19.ABA5.2A$.2A3.AB.B.BA15.A
B.B.BA3.2A$.2A.AB3.B3.BA11.AB3.B3.BA.2A$.2A.AB3.B3.BA11.AB3.B3.BA.2A
$.2A3.AB.B.BA15.AB.B.BA3.2A$.2A5.ABA19.ABA5.2A$4B33.4B7$4B33.4B$.2A
5.ABA19.ABA5.2A$.2A3.AB.B.BA15.AB.B.BA3.2A$.2A.AB3.B3.BA11.AB3.B3.B
A.2A$.2A.AB3.B3.BA11.AB3.B3.BA.2A$.2A3.AB.B.BA15.AB.B.BA3.2A$.2A5.A
BA19.ABA5.2A$4B33.4B!
I have not yet found a gun for this c/2 ship:

Code: Select all

x = 6, y = 3, rule = B268S3456F01356K268L034678
2B2.B$2.4A$2B2.B!
 
Brian Prentice

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