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BSFK rulespace

For discussion of other cellular automata.

Re: BSFK rulespace

Postby bprentice » October 3rd, 2014, 12:18 pm

The rule tree for a variant of the previous rule follows:

@RULE B268S3456F01356K268L0345

@TREE

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


Only the L parameter has changed. Some of the guns are still supported and many new ones can be constructed.

Examples are:

x = 15, y = 60, rule = B268S3456F01356K268L0345
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!


x = 41, y = 57, rule = B268S3456F01356K268L0345
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!


x = 73, y = 74, rule = B268S3456F01356K268L0345
50.B20.B$50.B20AB$50.B20AB$50.B20.B4$53.2A12.2A2$52.A2.A10.A2.A2$53.
2A5.2A5.2A$60.2B$52.B2.B10.B2.B5$50.B6.B6.B6.B$49.2AB4.B2A4.2AB4.B2A
2$49.2AB4.B2A4.2AB4.B2A$50.B6.B6.B6.B5$52.B2.B10.B2.B$60.2B$53.2A5.
2A5.2A2$52.A2.A10.A2.A2$53.2A12.2A4$50.B6.B6.B6.B$50.B6AB6.B6AB$50.
B6AB6.B6AB$50.B6.B2.2B2.B6.B$60.2A7$19.B.B2$4B5.A21.A5.4B$.2A4.A3BA
17.A3BA4.2A$.2A2.A.B.B.B.A13.A.B.B.B.A2.2A20.2B$.2A12.A9.A12.2A20.2A
$.2A12.A9.A12.2A$.2A2.A.B.B.B.A13.A.B.B.B.A2.2A$.2A4.A3BA17.A3BA4.2A
$.2A6.A21.A5.4B$.2A$.2A16.B.B$.2A4.AB10.A.A10.BA10.BA10.BA$.2A4.AB10.
A.A10.BA10.BA10.BA$.2A16.B.B$.2A$.2A6.A21.A5.4B$.2A4.A3BA17.A3BA4.2A
$.2A2.A.B.B.B.A13.A.B.B.B.A2.2A21.B8.B$.2A12.A9.A12.2A21.B8AB$.2A12.
A9.A12.2A21.B8AB$.2A2.A.B.B.B.A13.A.B.B.B.A2.2A21.B8.B$.2A4.A3BA17.
A3BA4.2A$4B5.A21.A5.4B2$19.B.B!


x = 157, y = 116, rule = B268S3456F01356K268L0345
85.B20.B$85.B20AB$85.B20AB$85.B20.B6$88.2A12.2A2$87.A2.A10.A2.A2$86.
AB2.BA3.2A3.AB2.BA$86.B4.B3.2B3.B4.B$85.A2B2.2BA6.A2B2.2BA$86.B4.B8.
B4.B$86.AB2.BA8.AB2.BA2$86.2A2B2A8.2A2B2A2$86.2A2B2A8.2A2B2A2$86.AB
2.BA8.AB2.BA$86.B4.B8.B4.B$85.A2B2.2BA6.A2B2.2BA$86.B4.B3.2B3.B4.B$
86.AB2.BA3.2A3.AB2.BA2$87.A2.A10.A2.A2$88.2A12.2A6$85.B6.B6.B6.B$85.
B6AB2.2B2.B6AB$85.B6AB2.2A2.B6AB$85.B6.B6.B6.B4$50.B20.B$50.B20AB$50.
B20AB$50.B20.B3$95.2B19.4B11.A9.A11.4B$95.2A20.2A10.A3BA.A.A.A3BA10.
2A$117.2A8.A.B.B.B.A.A.B.B.B.A8.2A$53.2A12.2A48.2A6.A9.B.B9.A6.2A$117.
2A6.A9.B.B9.A6.2A$52.A2.A10.A2.A17.4B26.2A8.A.B.B.B.A.A.B.B.B.A8.2A
$88.2A27.2A10.A3BA.A.A.A3BA10.2A$51.AB2.BA3.2A3.AB2.BA17.2A26.4B11.
A9.A12.2A$51.B4.B3.2B3.B4.B17.2A64.2A$50.A2B2.2BA6.A2B2.2BA16.2A64.
2A$51.B4.B8.B4.B17.2A15.AB10.AB10.AB11.BA10.2A$51.AB2.BA8.AB2.BA17.
2A15.AB10.AB10.AB11.BA10.2A$87.4B63.2A$51.2A2B2A8.2A2B2A83.2A$116.4B
11.A9.A12.2A$51.2A2B2A8.2A2B2A46.2A10.A3BA.A.A.A3BA10.2A$117.2A8.A.
B.B.B.A.A.B.B.B.A8.2A$51.AB2.BA8.AB2.BA46.2A6.A9.B.B9.A6.2A$51.B4.B
8.B4.B46.2A6.A9.B.B9.A6.2A$50.A2B2.2BA6.A2B2.2BA45.2A8.A.B.B.B.A.A.
B.B.B.A8.2A$51.B4.B3.2B3.B4.B46.2A10.A3BA.A.A.A3BA10.2A$51.AB2.BA3.
2A3.AB2.BA45.4B11.A9.A11.4B2$52.A2.A10.A2.A2$53.2A12.2A27.B2.B$96.A
2.A$97.2B$97.2A3$50.B6.B6.B6.B$50.B6AB2.2B2.B6AB$50.B6AB2.2A2.B6AB$
50.B6.B6.B6.B10$4B11.A9.A11.4B19.2B$.2A10.A3BA.A.A.A3BA10.2A20.2A$.
2A8.A.B.B.B.A.A.B.B.B.A8.2A$.2A6.A9.B.B9.A6.2A$.2A6.A9.B.B9.A6.2A$.
2A8.A.B.B.B.A.A.B.B.B.A8.2A$.2A10.A3BA.A.A.A3BA10.2A$.2A12.A9.A11.4B
34.BA$.2A74.BA$.2A74.BA$.2A10.AB11.BA10.BA10.BA23.BA$.2A10.AB11.BA10.
BA10.BA$.2A$.2A$.2A12.A9.A11.4B$.2A10.A3BA.A.A.A3BA10.2A$.2A8.A.B.B
.B.A.A.B.B.B.A8.2A15.B6.B$.2A6.A9.B.B9.A6.2A15.B6AB$.2A6.A9.B.B9.A6.
2A15.B6AB$.2A8.A.B.B.B.A.A.B.B.B.A8.2A15.B6.B$.2A10.A3BA.A.A.A3BA10.
2A$4B11.A9.A11.4B!


x = 212, y = 162, rule = B268S3456F01356K268L0345
139.B8.B$4B33.4B98.B8AB$.2A11.ABA7.ABA11.2A99.B8AB$.2A9.AB.B.BA.A.A
B.B.BA9.2A15.B6.B76.B8.B$.2A7.AB3.B3.B.B3.B3.BA7.2A15.B6AB$.2A7.AB3.
B3.B.B3.B3.BA7.2A15.B6AB$.2A9.AB.B.BA.A.AB.B.BA9.2A15.B6.B$.2A11.AB
A7.ABA11.2A18.2A$.2A34.4B$.2A54.A2.A$.2A$.2A11.A.B7.B.A9.B.A9.B.A6.
A2.A$.2A11.A.B7.B.A9.B.A9.B.A9.2A.A33.B.A33.B.A$.2A55.B6.A35.A35.A$
.2A56.B5.A35.A35.A$.2A34.4B20.A.A33.B.A33.B.A$.2A11.ABA7.ABA11.2A$.
2A9.AB.B.BA.A.AB.B.BA9.2A$.2A7.AB3.B3.B.B3.B3.BA7.2A$.2A7.AB3.B3.B.
B3.B3.BA7.2A$.2A9.AB.B.BA.A.AB.B.BA9.2A$.2A11.ABA7.ABA11.2A$4B33.4B
19.2A2$60.2B$143.2A$143.2B$142.A2.A$142.B2.B4$50.B6.B6.B6.B$50.B6AB
6.B6AB$50.B6AB2.2A2.B6AB$50.B6.B6.B6.B$60.2B6$53.2A12.2A$53.2B12.2B
$52.A2.A10.A2.A$52.B2.B10.B2.B$51.A4.A3.2A3.A4.A$51.6B8.6B$51.A4.A3.
2B3.A4.A$52.B2.B10.B2.B$52.A2.A10.A2.A$53.2B12.2B$52.A2.A10.A2.A$53.
2B12.2B$52.A2.A10.A2.A$52.B2.B10.B2.B$51.A4.A3.2B3.A4.A$51.6B8.6B$51.
A4.A3.2A3.A4.A$52.B2.B10.B2.B$52.A2.A10.A2.A$53.2B12.2B74.2A5.B60.B
$53.2A12.2A74.2B5.B60AB$142.A2.A4.B60AB$142.B2.B4.B60.B5$50.B20.B$50.
B20AB$50.B20AB$50.B20.B18$162.4B33.4B$163.2A12.A9.A12.2A$163.2A10.A
.B.A5.A.B.A10.2A$163.2A8.A3.A3.A.A3.A3.A8.2A$163.2A8.A3.A3.A.A3.A3.
A8.2A$163.2A10.A.B.A5.A.B.A10.2A$163.2A12.A9.A12.2A$143.2A17.4B34.2A
$143.2B55.2A$133.4B6.2A55.2A$134.2A17.AB10.AB10.AB7.BA10.B.2A$134.2A
7.2A8.AB10.AB10.AB7.BA10.B.2A$134.2A2.ABA.A2B55.2A$134.2A2.ABA.AB56.
2A$134.2A26.4B34.2A$134.2A27.2A12.A9.A12.2A$133.4B26.2A10.A.B.A5.A.
B.A10.2A$163.2A8.A3.A3.A.A3.A3.A8.2A$163.2A8.A3.A3.A.A3.A3.A8.2A$163.
2A10.A.B.A5.A.B.A10.2A$163.2A12.A9.A12.2A$162.4B33.4B$141.2A$141.2B
8$131.B6.B6.B6.B$131.B6AB6.B6AB$131.B6AB6.B6AB$131.B6.B2.2A2.B6.B$141.
2B7$134.2A12.2A2$133.A2.A10.A2.A2$132.AB2ABA3.2A3.AB2ABA$141.2B$133.
A2.A10.A2.A2$134.2A12.2A2$134.2A12.2A2$133.A2.A10.A2.A$141.2B$132.A
B2ABA3.2A3.AB2ABA2$133.A2.A10.A2.A2$134.2A12.2A7$141.2B$131.B20.B$131.
B20AB$131.B20AB$131.B20.B!


Oscillators, puffers and ships like these are also plentiful:

x = 20, y = 20, rule = B268S3456F01356K268L0345
18.BA$17.2AB$16.B2A$15.2AB$14.B2A$13.2AB$12.B2A$11.2AB$10.B2A$9.2AB
$8.B2A$7.2AB$6.B2A$5.2AB$4.B2A$3.2AB$2.B2A$.2AB$B2A$AB!


x = 29, y = 31, rule = B268S3456F01356K268L0345
A$.A$2.A$3.A$4.A$5.A$6.A$7.A$8.A$9.A$10.A$11.A$12.A$13.A$14.A$15.A$
16.A$17.A$18.A$19.A$20.A$21.A$22.A$23.A$24.A$25.A$26.A$27.A$28.A$28.
A$26.A!


x = 15, y = 17, rule = B268S3456F01356K268L0345
A$.A$2.A$3.A$4.A$5.A$6.A$7.A$8.A$9.A$10.A$11.A$12.A$13.A$14.A$14.A$
12.A!


A challenge is to construct guns that fire these kinds of puffers and ships.

Brian Prentice
bprentice
 
Posts: 552
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Postby wildmyron » October 4th, 2014, 12:07 pm

A very interesting variation. Here is a chaotic puffer which may inspire a gun for the ships mentioned above.
x = 24, y = 28, rule = B268S3456F01356K268L0345
17.2A$17.2A$16.5A$15.A.2B.2A$16.5A$15.A.A.3A$16.B.B.B$16.2B2AB$19.2B$
18.2B2.B$13.A.B3.B3A$13.A.B5.A.B$19.B3AB$20.2A.A$16.A3.A.B$14.7A.B$
14.5A.A.B$15.A.A.2A.B$.2A14.B$3.A$A$2.A9.A.A$B9.A5.B$2.A7.A$12.A3.A$
2.2A.A8.A$B$.B!


This pattern is a growing diagonal puffer which leaves a variety of oscillators in its debris. In the process of creating them, it features an ephemeral fractal pattern which grows more detailed with each iteration. Then at gen 200,000 the behaviour changes. A similar event happens around gen 1,000,000. I have not run the pattern much beyond that.
x = 6, y = 6, rule = B268S3456F01356K268L0345
2.A$A$A$.A3.A$2.A$3.2A!
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron
 
Posts: 1115
Joined: August 9th, 2013, 12:45 am

Re: BSFK rulespace

Postby wildmyron » October 6th, 2014, 3:36 am

wildmyron wrote:A very interesting variation. Here is a chaotic puffer which may inspire a gun for the ships mentioned above.
...

On closer inspection the pattern I showed was not a particularly good example. Here is a synthesis of a different ship:
x = 70, y = 182, rule = B268S3456F01356K268L0345
62.B2.B2$62.A2.A$63.2A27$62.B2.B2$62.A2.A$63.2A27$62.B2.B2$62.A2.A$
63.2A16$36.4B$37.2A$37.2A$37.2A$37.2A$37.2A$37.2A$37.2A$37.2A$37.2A$
36.4B$62.B2.B2$62.A2.A$63.2A2$B.A57.B.A$4.A59.A$4.A59.A$B.A57.B.A4$
54.2A$54.2B17$68.2A$68.2B41$54.2A$54.2B17$68.2A$68.2B!

It is based on p30 and two copies are synthesized at p60. There are also two spaceship streams at relatively close spacing coming from the south but I think it is feasible to create both of them given a p60 gun.

Here is an alternative synthesis which uses an extra barrier in place of the 30 gen spacing between two ships. It can therefore be made with period being some multiple of 13, however an extra ship is required to "reset" the barrier which slightly complicates the construction.
x = 199, y = 469, rule = B268S3456F01356K268L0345
182.B2.B2$182.A2.A$183.2A153$182.B2.B2$182.A2.A$183.2A2$187.4B$188.2A
$188.2A$188.2A$187.B2A$189.2A$188.B.2A6.B$191.7AB$156.4B30.B.6AB$157.
2A33.B5.B$157.2A$157.2A$157.2A$157.2A$157.2A$157.2A$157.2A$157.2A$
156.4B6$B.A153.B.A$4.A155.A$4.A155.A$B.A153.B.A28$174.2A$174.2B16$
186.2A$186.2B77$186.2A$186.2B60$174.2A$174.2B16$186.2A$186.2B77$186.
2A$186.2B!


Here's a p23 gun based on a different oscillator. Two are combined to show possible spacings between pairs of ships.
x = 18, y = 32, rule = B268S3456F01356K268L0345
4.2B5.2B$4.B7.B$4.B7.B$B4.A5.A4.B$B6A3.6AB$B6A3.6AB$B4.A5.A4.B$4.B7.B
$12.B$4.B5.B.2B$4.3A4.3A$4.2B.B5.B$5.B$5.B7.B$.B4.A5.A4.B$.B6A3.6AB$.
B6A3.6AB$.B4.A5.A4.B$5.B7.B$5.B$4.2B.B5.B$4.3A4.3A$4.B5.B.2B$12.B$4.B
7.B$B4.A5.A4.B$B6A3.6AB$B6A3.6AB$B4.A5.A4.B$4.B7.B$4.B7.B$4.2B5.2B!
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron
 
Posts: 1115
Joined: August 9th, 2013, 12:45 am

Re: BSFK rulespace

Postby bprentice » October 6th, 2014, 12:53 pm

wildmyron wrote:On closer inspection the pattern I showed was not a particularly good example. Here is a synthesis of a different ship: ...


A very good start!

Including your new period 23 gun, my gun collection for this rule now contains 32 guns which fire a variety of ships. Unfortunately this little ship:

x = 3, y = 4, rule = B268S3456F01356K268L0345
BA$.BA$.BA$BA!


which features prominently in your two syntheses is not one of them. I was not even aware of its existence.

Here are three more guns from my collection:

x = 52, y = 152, rule = B268S3456F01356K268L0345
21.B8.B$21.B8AB$21.B8AB$21.B8.B$17.4B10.4B$18.2A12.2A$18.2A12.2A$16.
B.2A.B8.B.2A.B$15.A.4A.A6.A.4A.A2$15.A.4A.A6.A.4A.A$16.B.2A.B8.B.2A
.B$18.2A12.2A$18.2A12.2A$17.4B10.4B$8.B.B14.2B2$25.2A$7.AB.BA$4.B3.
3A3.B$4.B4A.4AB$4.B4A.4AB$4.B3.3A3.B$4B3.AB.BA$.2A$.2A$.2A5.B.B$.2A
5.A.A10.B.A$.2A5.A.A10.B.A$.2A5.B.B14.2B$.2A22.2A$.2A$4B3.AB.BA$4.B
3.3A3.B$4.B4A.4AB$4.B4A.4AB$4.B3.3A3.B$7.AB.BA$23.B$25.A.B$8.B.B12.
A$24.A2.A2$25.2A8$24.AB$23.B.2A$23.AB2.B$24.A2.A$25.2B$25.2A7$26.A$
23.B$27.B$23.A$24.A2.A2$25.2A15$25.2A2$24.A2.A$28.A$24.B.A$28.B8$25.
2A$25.2B$24.A2.A$24.B2.BA$27.AB3$25.B6$25.2A$41.A.A$24.A2.A13.B.B$28.
A$24.B$28.B8.B3.3A3.B$25.A11.B4A.4AB$37.B4A.4AB$37.B3.3A3.B$48.4B$49.
2A$41.B.B5.2A$41.A.A5.2A$25.2A3.A.B16.2A$25.2B3.A.B16.2A$41.A.A5.2A
$41.B.B5.2A$49.2A$48.4B$37.B3.3A3.B$37.B4A.4AB$37.B4A.4AB$37.B3.3A3.
B3$41.B.B$25.2A14.A.A$17.4B10.4B$18.2A5.2B5.2A$18.2A12.2A$18.2A12.2A
$16.6A8.6A$17.A2.A10.A2.A$16.6A8.6A$18.2A12.2A$18.2A12.2A$18.2A5.2B
5.2A$17.4B10.4B$21.B8.B$21.B8AB$21.B8AB$21.B8.B!


x = 66, y = 82, rule = B268S3456F01356K268L0345
50.B8.B$50.B8AB$50.B8AB$50.B8.B$46.4B10.4B$47.2A12.2A$47.2A12.2A$45.
A.2A.A8.A.2A.A$45.B4AB8.B4AB$44.A.A2.A.A6.A.A2.A.A$45.B4AB8.B4AB$45.
A.2A.A8.A.2A.A$47.2A12.2A$47.2A12.2A$46.4B10.4B$41.A.A10.2B$41.B.B10.
2A3$37.B3.3A3.B$37.B4A.4AB$37.B4A.4AB$37.B3.3A3.B$33.4B$34.2A$34.2A
5.B.B$34.2A5.A.A$34.2A16.BA.B$34.2A$34.2A5.A.A10.2A$34.2A5.B.B$34.2A
$33.4B$37.B3.3A3.B$37.B4A.4AB$37.B4A.4AB$37.B3.3A3.B3$41.B.B9.B2.B$
41.A.A9.A2.A$34.B16.B2.2B$34.B16AB2.2A$8.B.B23.B16AB$34.B16.B2$7.AB
.BA$4.B3.3A3.B$4.B4A.4AB$4.B4A.4AB$4.B3.3A3.B$4B3.AB.BA41.B2.B$.2A$
.2A50.A2.A$.2A5.B.B22.BA10.B.A$.2A5.A.A10.B.A7.A.A.BA6.A5.A4.2A$.2A
5.A.A10.B.A7.2BA.BA12.A$.2A5.B.B22.BA12.A$.2A29.BA10.B.A$.2A$4B3.AB
.BA$4.B3.3A3.B$4.B4A.4AB$4.B4A.4AB$4.B3.3A3.B$7.AB.BA15.2A$27.2B$19.
4B10.4B$8.B.B9.2A12.2A$20.2A12.2A$18.A.2A.A8.A.2A.A$18.B4AB8.B4AB$17.
A.A2.A.A6.A.A2.A.A$18.B4AB8.B4AB$18.A.2A.A8.A.2A.A$20.2A12.2A$20.2A
12.2A$19.4B10.4B$23.B8.B$23.B8AB$23.B8AB$23.B8.B!


x = 134, y = 137, rule = B268S3456F01356K268L0345
37.B.A.B81.A.A$34.B3.B.B3.B74.B3.3A3.B$34.B9AB74.B4A.4AB$34.B9AB74.
B4A.4AB$34.B3.B.B3.B74.B3.3A3.B$30.4B3.B.A.B81.A.A4.4B$31.2A98.2A$31.
2A46.A.A49.2A$31.2A5.B.B21.2B.BA10.B.ABAB11.A.B34.2A$31.2A3.A2B.2BA
10.B.A11.BA10.B.A10.A12.AB11.A.B7.B2.2A$31.2A3.A2B.2BA10.B.A11.BA12.
2A9.A12.AB11.A.B7.B2.2A$31.2A5.B.B23.ABA14.2B11.A.B10.A23.2A$31.2A31.
BA10.B.B2A24.2B24.2A$31.2A45.BA.B49.2A$30.4B3.B.A.B37.A43.A.A4.4B$34.
B3.B.B3.B36.2B36.B3.3A3.B$34.B9AB34.A3.A35.B4A.4AB$34.B9AB12.2A19.A
3.B14.4B10.4B4.B4A.4AB$34.B3.B.B3.B12.2B23.A15.2A12.2A5.B3.3A3.B$37.
B.A.B56.2A12.2A9.A.A$78.A2.A16.2A12.2A$49.4B10.4B27.B3.2A3.B4.B3.2A
3.B$50.2A12.2A13.2A12.2A8.2A2.2A8.2A$50.2A12.2A28.B3.2A3.B4.B3.2A3.
B$48.B.2A.B8.B.2A.B30.2A12.2A$47.BAB2ABAB6.BAB2ABAB29.2A12.2A$46.2A
2.2A2.2A4.2A2.2A2.2A28.2A12.2A$47.BAB2ABAB6.BAB2ABAB28.4B10.4B$48.B
.2A.B8.B.2A.B33.B8.B$50.2A12.2A35.B8AB$50.2A12.2A35.B8AB$49.4B10.4B
34.B8.B$53.B8.B$5.B8.B38.B8AB$5.B8AB38.B8AB$5.B8AB38.B8.B$5.B8.B$.4B
10.4B60.A.A$2.2A5.2B5.2A60.A3.A$2.2A12.2A$2.2A12.2A60.B$6A8.6A$.A2.
A10.A2.A61.A$6A8.6A$2.2A12.2A60.B.A$2.2A12.2A$2.2A5.2B5.2A60.A2.A$.
4B10.4B$9.2A11.A56.2A$21.BAB3$17.B9.B$17.B4A.4AB$17.B4A.4AB$17.B9.B
$28.4B$29.2A$21.BAB5.2A$11.A10.A6.2A$9.2B.B16.2A$9.2A.B16.2A$22.A6.
2A47.B3.B$21.BAB5.2A48.A.A$29.2A$28.4B$17.B9.B51.A.A$17.B4A.4AB$17.
B4A.4AB50.A.B.A$17.B9.B$8.B2.B66.B3.A2$8.A2.A9.BAB54.A2.A$22.A$9.2A
68.2A9$16.A$8.B.AB3.B.BA19.A23.B5.A.A$7.4AB.B.B4.A16.A8.A16.A2.A5.A
$8.B3.A9.A19.A.A3.A19.B5.A$7.2AB2.3A.A5.A14.A10.A14.A2.A7.A$12.2B3.
A2.A17.A.B3.B.A15.B5.A.B.A$8.B$12.B7$26.A$9.2A14.BAB$9.2B13.BA.AB$8.
A2.A9.B3.B.B3.B$8.B2.BA8.B9AB$11.AB8.B9AB$8.B12.B3.B.B3.B$8.B15.BA.
AB3.4B$25.BAB5.2A$26.A6.2A$33.2A$17.AB14.2A$17.AB14.2A$33.2A$9.2A15.
A6.2A$25.BAB5.2A$9.2B13.BA.AB3.4B$21.B3.B.B3.B$21.B9AB$21.B9AB$21.B
3.B.B3.B$24.BA.AB$25.BAB$26.A2$.4B10.4B$2.2A12.2A$2.2A5.2A5.2A$B.2A
.B3.2B3.B.2A.B$.B2AB3.4B3.B2AB$A.2A.A8.A.2A.A$.B2AB3.4B3.B2AB$B.2A.
B3.2B3.B.2A.B$2.2A5.2A5.2A$2.2A12.2A$.4B10.4B$5.B8.B$5.B8AB$5.B8AB$
5.B8.B!


Brian Prentice
bprentice
 
Posts: 552
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Postby wildmyron » October 7th, 2014, 2:56 am

bprentice wrote:
wildmyron wrote:On closer inspection the pattern I showed was not a particularly good example. Here is a synthesis of a different ship: ...


A very good start!

Including your new period 23 gun, my gun collection for this rule now contains 32 guns which fire a variety of ships. Unfortunately this little ship:

x = 3, y = 4, rule = B268S3456F01356K268L0345
BA$.BA$.BA$BA!


which features prominently in your two syntheses is not one of them. I was not even aware of its existence.

I didn't realize it was a different ship until I tried rephasing the collision, but it didn't occur to me it was new. Fortunately there is a simple reaction to make a gun:
x = 39, y = 52, rule = B268S3456F01356K268L0345
20.B8.B$20.B8AB$20.B8AB$20.B8.B$16.4B10.4B$17.2A12.2A$17.2A12.2A$17.
2A12.2A$12.2B.6A.2B2.2B.6A.2B$11.A4.A2.A4.2A4.A2.A4.A$12.2B.6A.2B2.2B
.6A.2B$17.2A12.2A$17.2A12.2A$17.2A12.2A$16.4B10.4B2$7.B.A.B$4.B3.B.B
3.B$4.B9AB$4.B9AB$4.B3.B.B3.B$4B3.B.A.B12.2B$.2A21.2A$.2A$.2A5.B.B$.
2A3.A2B.2BA10.B.A$.2A3.A2B.2BA10.B.A$.2A5.B.B$.2A$.2A21.2A$4B3.B.A.B
12.2B$4.B3.B.B3.B$4.B9AB$4.B9AB$4.B3.B.B3.B$7.B.A.B2$16.4B10.4B$17.2A
12.2A$17.2A12.2A$17.2A12.2A$12.2B.6A.2B2.2B.6A.2B$11.A4.A2.A4.2A4.A2.
A4.A$12.2B.6A.2B2.2B.6A.2B$17.2A12.2A$17.2A12.2A$17.2A12.2A$16.4B10.
4B$20.B8.B$20.B8AB$20.B8AB$20.B8.B!
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron
 
Posts: 1115
Joined: August 9th, 2013, 12:45 am

Re: BSFK rulespace

Postby wildmyron » October 8th, 2014, 1:50 pm

This is an interesting puffer which leaves behind a stream of forward c/2 ships. It has been extracted from a chaotic explosion and cleaned up.
x = 217, y = 219, rule = B268S3456F01356K268L0345
9$33.2A2$32.A2.A2$31.AB2.BA10.2A$31.B4.B$30.A2B2.2BA8.A2.A$31.B4.B$
31.AB2.BA8.AB2.BA$45.B4.B$32.A2.A8.A2B2.2BA$45.B4.B$32.A2.A9.AB2.BA4.
2A2$32.A2.A10.A2.A4.A2.A2$31.AB2ABA10.2A4.AB2.BA$28.A10.A13.B4.B$26.A
.3B.A2.A.3B.A2.2A4.3A2B2.2BA$25.AB.A.B6.B.A.B2A.B4.B.A5.B$25.ABA5.2A
6.A2.A6.2B4.BA4.2A$41.B2.AB4.B$41.A.A11.B.A4.A2.A2$47.A6.A2.A3.AB2.BA
$41.B.BA.BAB12.B4.B$43.BA2.A6.A2.A2.A2B2.2BA$42.A18.B4.B$47.2A2.BA2.A
.B3.AB2.BA4.2A2$46.A2.A2.A.A7.A2.A4.A2.A$8.2A$8.2B38.AB13.2A4.AB2.BA$
7.A2.A34.3B21.B4.B$7.B2.B34.A.A7.B12.A2B2.2BA$51.ABA2.2B8.A.A5.B$49.B
2.BA.A9.A3.B3.BA4.2A$50.BA6.B$68.A2.B.A4.A2.A$64.B$32.B2.B27.2BA4.A2.
A3.AB2.BA$77.B4.B$32.A2.A22.A.A9.A2.A2.A2B2.2BA$60.B16.B4.B$33.2A26.B
5.B3.A.B3.AB2.BA4.2A$59.B7.B$67.A3.A6.A2.A4.A2.A$71.A$58.A.A10.B7.2A
4.AB2.BA$60.B10.2B12.B4.B$57.B17.B8.A2B2.2BA$74.2B6.A.A5.B$74.2B5.A3.
B3.BA4.2A$66.A.A$58.A.A6.B16.A2.B.A4.A2.A$60.B5.A2B11.B$57.B21.2BA4.A
2.A3.AB2.BA$26.2A65.B4.B$25.A48.A.A9.A2.A2.A2B2.2BA$28.A37.A.A7.B16.B
4.B$25.B32.A.A6.B9.B5.B3.A.B3.AB2.BA4.2A$27.A32.B5.A2B6.B7.B$57.B25.A
3.A6.A2.A4.A2.A$27.A59.A$31.AB2.B38.A.A10.B7.2A4.AB2.BA$28.A.2A34.A.A
7.B10.2B12.B4.B$32.A2.A22.A.A6.B5.B17.B8.A2B2.2BA$60.B5.A2B21.2B6.A.A
5.B$29.AB4A22.B32.2B5.A3.B3.BA4.2A$27.B54.A.A$31.A42.A.A6.B16.A2.B.A
4.A2.A$30.A35.A.A7.B5.A2B11.B$58.A.A6.B5.B21.2BA4.A2.A3.AB2.BA$60.B5.
A2B40.B4.B$57.B32.A.A9.A2.A2.A2B2.2BA$82.A.A7.B16.B4.B$74.A.A6.B9.B5.
B3.A.B3.AB2.BA4.2A$66.A.A7.B5.A2B6.B7.B$58.A.A6.B5.B25.A3.A6.A2.A4.A
2.A$60.B5.A2B34.A$57.B32.A.A10.B7.2A4.AB2.BA$82.A.A7.B10.2B12.B4.B$
74.A.A6.B5.B17.B8.A2B2.2BA$66.A.A7.B5.A2B21.2B6.A.A5.B$58.A.A6.B5.B
32.2B5.A3.B3.BA4.2A$60.B5.A2B29.A.A$57.B32.A.A6.B16.A2.B.A4.A2.A$82.A
.A7.B5.A2B11.B$74.A.A6.B5.B21.2BA4.A2.A3.AB2.BA$66.A.A7.B5.A2B40.B4.B
$58.A.A6.B5.B32.A.A9.A2.A2.A2B2.2BA$60.B5.A2B29.A.A7.B16.B4.B$57.B32.
A.A6.B9.B5.B3.A.B3.AB2.BA4.2A$82.A.A7.B5.A2B6.B7.B$74.A.A6.B5.B25.A3.
A6.A2.A4.A2.A$66.A.A7.B5.A2B34.A$58.A.A6.B5.B32.A.A10.B7.2A4.AB2.BA$
60.B5.A2B29.A.A7.B10.2B12.B4.B$57.B32.A.A6.B5.B17.B8.A2B2.2BA$82.A.A
7.B5.A2B21.2B6.A.A5.B$74.A.A6.B5.B32.2B5.A3.B3.BA4.2A$66.A.A7.B5.A2B
29.A.A$58.A.A6.B5.B32.A.A6.B16.A2.B.A4.A2.A$60.B5.A2B29.A.A7.B5.A2B
11.B$57.B32.A.A6.B5.B21.2BA4.A2.A3.AB2.BA$82.A.A7.B5.A2B40.B4.B$74.A.
A6.B5.B32.A.A9.A2.A2.A2B2.2BA$66.A.A7.B5.A2B29.A.A7.B16.B4.B$67.B5.B
32.A.A6.B9.B5.B3.A.B3.AB2.BA4.2A$66.A2B29.A.A7.B5.A2B6.B7.B$90.A.A6.B
5.B25.A3.A6.A2.A4.A2.A$82.A.A7.B5.A2B34.A$74.A.A6.B5.B32.A.A10.B7.2A
4.AB2.BA$66.A.A7.B5.A2B29.A.A7.B10.2B12.B4.B$67.B5.B32.A.A6.B5.B17.B
8.A2B2.2BA$66.A2B29.A.A7.B5.A2B21.2B6.A.A5.B$90.A.A6.B5.B32.2B5.A3.B
3.BA4.2A$82.A.A7.B5.A2B29.A.A$74.A.A6.B5.B32.A.A6.B16.A2.B.A4.A2.A$
66.A.A7.B5.A2B29.A.A7.B5.A2B11.B$67.B5.B32.A.A6.B5.B21.2BA4.A2.A3.AB
2.BA$66.A2B29.A.A7.B5.A2B40.B4.B$90.A.A6.B5.B32.A.A9.A2.A2.A2B2.2BA$
82.A.A7.B5.A2B29.A.A7.B16.B4.B$74.A.A6.B5.B32.A.A6.B9.B5.B3.A.B3.AB2.
BA4.2A$66.A.A7.B5.A2B29.A.A7.B5.A2B6.B7.B$67.B5.B32.A.A6.B5.B25.A3.A
6.A2.A4.A2.A$67.2B29.A.A7.B5.A2B34.A$66.A23.A.A6.B5.B32.A.A10.B7.2A4.
AB2.BA$82.A.A7.B5.A2B29.A.A7.B10.2B12.B4.B$74.A.A6.B5.B32.A.A6.B5.B
17.B8.A2B2.2BA$76.B5.A2B29.A.A7.B5.A2B21.2B6.A.A5.B$73.B32.A.A6.B5.B
32.2B5.A3.B3.BA4.2A$98.A.A7.B5.A2B29.A.A$90.A.A6.B5.B32.A.A6.B16.A2.B
.A4.A2.A$82.A.A7.B5.A2B29.A.A7.B5.A2B11.B$74.A.A6.B5.B32.A.A6.B5.B21.
2BA4.A2.A3.AB2.BA$76.B5.A2B29.A.A7.B5.A2B40.B4.B$73.B32.A.A6.B5.B32.A
.A9.A2.A2.A2B2.2BA$98.A.A7.B5.A2B29.A.A7.B16.B4.B$90.A.A6.B5.B32.A.A
6.B9.B5.B3.A.B3.AB2.BA4.2A$82.A.A7.B5.A2B29.A.A7.B5.A2B6.B7.B$74.A.A
6.B5.B32.A.A6.B5.B25.A3.A6.A2.A4.A2.A$76.B5.A2B29.A.A7.B5.A2B34.A$73.
B32.A.A6.B5.B32.A.A10.B7.2A4.AB2.BA$98.A.A7.B5.A2B29.A.A7.B10.2B12.B
4.B$90.A.A6.B5.B32.A.A6.B5.B17.B8.A2B2.2BA$82.A.A7.B5.A2B29.A.A7.B5.A
2B21.2B6.A.A5.B$74.A.A6.B5.B32.A.A6.B5.B32.2B5.A3.B3.BA4.2A$76.B5.A2B
29.A.A7.B5.A2B29.A.A$73.B32.A.A6.B5.B32.A.A6.B16.A2.B.A4.A2.A$98.A.A
7.B5.A2B29.A.A7.B5.A2B11.B$90.A.A6.B5.B32.A.A6.B5.B21.2BA4.A2.A3.AB2.
BA$82.A.A7.B5.A2B29.A.A7.B5.A2B40.B4.B$74.A.A6.B5.B32.A.A6.B5.B32.A.A
9.A2.A2.A2B2.2BA$76.B5.A2B29.A.A7.B5.A2B29.A.A7.B16.B4.B$73.B32.A.A6.
B5.B32.A.A6.B9.B5.B3.A.B3.AB2.BA4.2A$98.A.A7.B5.A2B29.A.A7.B5.A2B6.B
7.B$90.A.A6.B5.B32.A.A6.B5.B25.A3.A6.A2.A4.A2.A$82.A.A7.B5.A2B29.A.A
7.B5.A2B34.A$74.A.A6.B5.B32.A.A6.B5.B32.A.A10.B7.2A4.AB2.BA$76.B5.A2B
29.A.A7.B5.A2B29.A.A7.B10.2B12.B4.B$73.B32.A.A6.B5.B32.A.A6.B5.B17.B
8.A2B2.2BA$98.A.A7.B5.A2B29.A.A7.B5.A2B21.2B6.A.A5.B$90.A.A6.B5.B32.A
.A6.B5.B32.2B5.A3.B3.BA$82.A.A7.B5.A2B29.A.A7.B5.A2B29.A.A$74.A.A6.B
5.B32.A.A6.B5.B32.A.A6.B16.A2.B.A$76.B5.A2B29.A.A7.B5.A2B29.A.A7.B5.A
2B11.B$73.B32.A.A6.B5.B32.A.A6.B5.B21.2BA4.A2.A$98.A.A7.B5.A2B29.A.A
7.B5.A2B$90.A.A6.B5.B32.A.A6.B5.B32.A.A9.A2.A$82.A.A7.B5.A2B29.A.A7.B
5.A2B29.A.A7.B$74.A.A6.B5.B32.A.A6.B5.B32.A.A6.B9.B5.B3.A.B$76.B5.A2B
29.A.A7.B5.A2B29.A.A7.B5.A2B6.B7.B$73.B32.A.A6.B5.B32.A.A6.B5.B25.A3.
A$98.A.A7.B5.A2B29.A.A7.B5.A2B34.A$90.A.A6.B5.B32.A.A6.B5.B32.A.A10.B
$82.A.A7.B5.A2B29.A.A7.B5.A2B29.A.A7.B10.2B$74.A.A6.B5.B32.A.A6.B5.B
32.A.A6.B5.B$76.B5.A2B29.A.A7.B5.A2B29.A.A7.B5.A2B$73.B32.A.A6.B5.B
32.A.A6.B5.B$98.A.A7.B5.A2B29.A.A7.B5.A2B$90.A.A6.B5.B32.A.A6.B5.B$
82.A.A7.B5.A2B29.A.A7.B5.A2B$74.A.A6.B5.B32.A.A6.B5.B$76.B5.A2B29.A.A
7.B5.A2B$73.B32.A.A6.B5.B$98.A.A7.B5.A2B$90.A.A6.B5.B$82.A.A7.B5.A2B$
74.A.A6.B5.B$76.B5.A2B$73.B!

It can be reduced to have a single stream of the c/2 ship at which a gun can be fired. All manner of reactions are possible, though a lot of them do explode.

In the original chaotic explosion there was another puffer which was producing copies of the puffer shown above (hence the collection of them. Unfortunately I lost that part of the pattern and I can't determine how it worked, nor recreate the original explosion which came from a random scrawl.
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron
 
Posts: 1115
Joined: August 9th, 2013, 12:45 am

Re: BSFK rulespace

Postby c0b0p0 » October 9th, 2014, 10:11 pm

c0b0p0 wrote: Six slowships can make the slowship gun I posted earlier, but it is very difficult to make closely-spaced glider pairs.


Here is a four-slowship synthesis of the slowship gun.
x = 12, y = 97, rule = B1S345678F2378K468L03568
8.ABA$9.2B2$7.A2B$8.BA20$2.A$.3BA$.4B$.2BA10$9.AB$9.2BA2$8.2B$8.ABA
51$.AB$.2BA2$2B$ABA!
c0b0p0
 
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Postby c0b0p0 » November 6th, 2014, 11:04 pm

c0b0p0 wrote:
c0b0p0 wrote: Six slowships can make the slowship gun I posted earlier, but it is very difficult to make closely-spaced glider pairs.


Here is a four-slowship synthesis of the slowship gun.
x = 12, y = 97, rule = B1S345678F2378K468L03568
8.ABA$9.2B2$7.A2B$8.BA20$2.A$.3BA$.4B$.2BA10$9.AB$9.2BA2$8.2B$8.ABA
51$.AB$.2BA2$2B$ABA!

Four-glider syntheses of the glider gun abound, especially when using the two-glider mess.
x = 61, y = 6, rule = B1S345678F2378K468L03568
.A$3BA42.2BA10.2B$4B41.A3B10.2B$2BA44.BA7.A2B$57.B.BA$59.B!


On an unrelated note, here is a mess created by a slowship hitting an extended block.
x = 24, y = 5, rule = B1S345678F2378K468L03568
23.B$A2.A18.AB$.2A19.2A$.2A$A2.A!
c0b0p0
 
Posts: 645
Joined: February 26th, 2014, 4:48 pm

Re: BSFK rulespace

Postby bprentice » November 9th, 2014, 9:18 pm

There are now 102 rules in the BSFKL rule family which together with a large collection of patterns are included in the updated achieve BSFKL.zip here:

http://bprentice.webenet.net/Java%20Square%20Cell/BSFKL.zip

You may enjoy exploring rules 101 and 102 by installing the following Golly rule trees:

@RULE B248S3456F038K234567L047

@TREE

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


@RULE B248S3456F038K234567L067

@TREE

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


Some guns for each of these rules are:

x = 18, y = 15, rule = B248S3456F038K234567L047
15.2A$13.4A$13.2AB2A$11.6A$11.A.A.B$9.2A$9.A3.B.A$7.4A.B.A2B$7.4A.B
2.B$2.B6.A2.A$B.A.B4.2A.A.B$.3A7.A3.A$2.3A6.AB2.2B$.B.A.B$3.B!


x = 22, y = 49, rule = B248S3456F038K234567L047
7.B$8.A.B$6.B3A$8.3AB$7.B.A$4.B5.B$4.B$4.B.2BAB$5.A3.B$6.BA.B$7.A$8.
A$8.2A$4.B2.BA.A$4.B3.2A$4.2A2B2A$4.2A2B2A$6.2A11.B$6.2A9.B.A.B$18.
3A$17.3A$16.B.A.B$18.B4$.B$2.A.B$B3A$2.3AB$.B.A$4.B3$8.B$6.B$6.B2.B
.B$6.BAB2.B$6.B.2A.B$6.A.4A$7.3A$8.2A2$5.B$6.A.B$4.B3A$6.3AB$5.B.A$
8.B


x = 44, y = 25, rule = B248S3456F038K234567L047
19.B$20.A.B$18.B3A$20.3AB$19.B.A$22.B5$16.2A$16.4A$15.B5A$18.2A.A$2.
B10.3A2B.2ABA$B.A.B8.2A.A2.A.A.A$.3A10.A.B3.5A$2.3A13.B6A$.B.A.B5.B
7.A.A.A$3.B5.B.A.B4.4BA19.B$10.3A26.B.A$11.3A26.3AB$10.B.A.B23.B3A$
12.B27.A.B$39.B!


x = 101, y = 108, rule = B248S3456F038K234567L047
85.B$82.B.A$83.3AB$81.B3A$83.A.B$82.B4$81.B$78.B.A$79.3AB$77.B3A$79.
A.B$78.B$96.BA$94.B2A$95.2A$98.B$96.B.A.B$83.2A12.3A$83.2A11.3A$81.
6A8.B.A.B$81.2A2.2A10.B$80.2A4.2A$81.A.B2.2A$81.B4.B$84.BA.B$85.2AB
$85.B2A$84.B2$83.2B3$85.AB$81.B.2A.B$81.B4ABA$78.B4.2A.A$76.B.A.B.4A
$77.3A3.2A$78.3A$77.B.A.B$79.B18$83.B$83.B$83.2AB$83.A.A$83.2A$83.A
$83.2A$83.A.A$81.B.3AB$81.B.AB.B$81.B.3ABA$81.4A.A$83.3A$83.2A9$19.
B$20.A.B$18.B3A$15.A4.3AB$15.B2A.B.A$16.2A4.B$16.B7$24.2A.2BA7.A33.
A$2.B19.4AB.2A5.3BA30.3BA$B.A.B17.2A3.2AB5.A.A.A23.BA3.2A.A.A$.3A16.
3A4.B2.B.B3.5A22.A.A.A.AB4A$2.3A15.3A2.B6.B3.5A20.2B12A$.B.A.B5.B10.
2A13.A.A32.A$3.B5.B.A.B8.4AB9.2B4.B26.3BA$10.3A11.A14.B.A$11.3A26.3A
B$10.B.A.B23.B3A$12.B27.A.B$39.B!


x = 10, y = 97, rule = B248S3456F038K234567L067
4.B$4.A$2.B3AB$4.A$4.B18$4.B4.B$4.B.2A.B$4.B.2B.B$4.6A$6.2A$6.2A9$6.
2B2$6.2A16$6.2A$6.2A$4.2A2B2A$5.A2BA$4.2A2B2A$6.2A$5.B2.B3$6.2A2$6.
2B5$6.2A$6.2A$4.2A2.2A$4.B.2B.B$5.B2.B3$6.2A$4.B.2A.B$4.B.2A.B$4.B.
2B.B$4.6A$6.2A$6.2A3$2.B$2.A$B3AB$2.A$2.B2$6.B$6.A$4.B3AB$6.A$6.B!


x = 97, y = 38, rule = B248S3456F038K234567L067
8.B$8.A$6.B3AB83.B$8.A85.A$2.B5.B6.A3B4.BA13.A.A30.A3B17.B3AB$2.A12.
A6.B.A11.B.3A30.A22.A$B3AB8.3AB3A3.B.2A4.B.A3.A3B2A15.A.B8.3ABA20.B
$2.A10.3AB3A3.B.2A4.B.A3.A3B2A15.A.B8.3ABA$2.B12.A6.B.A11.B.3A30.A$
15.A3B4.BA13.A.A30.A3B10$7.B$7.A8.B$5.B3AB6.A$7.A6.B3AB$7.B8.A$16.B
9$11.B$11.A$9.B3AB$11.A$11.B!


x = 45, y = 97, rule = B248S3456F038K234567L067
4.B32.B$4.A32.A$2.B3AB28.B3AB$4.A32.A$4.B32.B8$4.B.2B.B27.B.2B.B$4.
B4.B27.B4.B$4.B4.B27.B4.B3$5.4A29.4A$6.2A31.2A9$4.2B2.2B27.2B2.2B$5.
A2BA29.A2BA$2.B.B.2A.B.B23.B.B.2A.B.B$2.B8.B23.B8.B$2.A2B4.2BA23.A2B
4.2BA$6.2B31.2B$4.B.2B.B27.B.2B.B$6.2B31.2B$4.BA2.AB27.BA2.AB4$6.2B
31.2B2$6.2A31.2A6$6.2A31.2A$5.4A29.4A$5.4A29.4A$5.4A29.4A$6.2A31.2A
$5.B2.B29.B2.B4$6.2A31.2A$6.2B31.2B6$6.2A31.2A$5.4A29.4A$4.A.2B.A27.
A.2B.A$5.B2AB29.B2AB4$4.B.2A.B27.B.2A.B$4.B4AB27.B4AB$4.A.2A.A27.A.
2A.A$5.4A29.4A$6.2A31.2A10$6.2B31.2B$6.2A31.2A$2.B$2.A$B3AB$2.A$2.B
2$6.B32.B$6.A32.A$4.B3AB28.B3AB$6.A32.A$6.B32.B!


x = 14, y = 94, rule = B248S3456F038K234567L067
7.B$7.A$5.B3AB$7.A$7.B6$2.B$2.A$B3AB$2.A$2.B$11.B$11.A$9.B3AB$11.A$
2.B8.B$2.A$B3AB$2.A$2.B3$6.2A2$6.2B4$6.2A$6.2A$4.6A$4.A.2B.A$2.2AB4A
B2A$3.2A.2A.2A$2.4A2.4A$4.A.2B.A$4.B4.B9$6.2A$5.4A$4.A.2A.A$4.B4.B$
4.BA2BAB2$6.2A$6.2A$6.2A3$4.BA2BAB$4.B4.B$4.6A$5.4A$6.2A5$4.B4.B$3.
AB4.BA$4.B4.B$4.B4.B$2.B.B4.B.B$2.B8.B$2.BA2B2.2BAB$2.B2.4A2.B$2.2A
B4AB2A$4.A.2B.A$4.6A$6.2A$6.2A4$6.2B2$6.2A2$9.B$9.A$7.B3AB$9.A$9.B!


Brian Prentice
bprentice
 
Posts: 552
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Postby bprentice » November 13th, 2014, 11:33 am

This interesting gun was found simply by observing the evolution of a random pattern generated by Golly using rule B248S3456F038K234567L067. The gun repeatedly fires a salvo of three ships. Notice the complexity of the third ship in each salvo. It is a variant of the oscillator used to construct the other four guns published in my previous post.

x = 80, y = 17, rule = B248S3456F038K234567L067
9.B5.B5.B5.B5.B5.B5.B5.B5.B5.B5.B5.B$5.BAB.A.B.B.A.B.B.A.B.B.A.B.B.
A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.BAB$5.B.5A.5A.5A.5A.5A.
5A.5A.5A.5A.5A.5A.5A.B$8.A.5A.5A.5A.5A.5A.5A.5A.5A.5A.5A.5A.A$8.B.B
.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B.A.B.B$
12.B5.B5.B5.B5.B5.B5.B5.B5.B5.B5.B$32.3A4.2A29.A$32.3AB2.B3AB25.AB.
B$4.B26.B.A6.A26.A5.B$4.A28.7A.B24.2A.3B$2.B3AB25.B2A.A.2A.B24.2A.3B
$4.A27.B.A5.A26.A5.B$2.B3.B3.B3.B17.2AB.B.B2A2B25.AB.B$2.A3.A3.A3.A
19.A.A4.A28.A$B3AB3AB3AB3AB17.A4B$2.A3.A3.A3.A$2.B3.B3.B3.B!


Brian Prentice
bprentice
 
Posts: 552
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: BSFK rulespace

Postby wildmyron » November 14th, 2014, 6:08 am

Hi Brian,

a couple of very interesting rules, thank you for sharing. Here is a small collection of guns based on a different mechanism.
x = 45, y = 230, rule = B248S3456F038K234567L067
7.B$7.A$5.B3AB$7.A$7.B4$11.B$2.B8.A$2.A6.B3AB$B3AB6.A$2.A8.B$2.B7$2.B
3.2A3.B$2.A3.2A3.A$B3AB.2A.B3AB$2.A3.2A3.A$2.B2.B2AB2.B20$6.B$6.A$4.B
3AB$6.A$6.B9$2.B$2.A$B3AB$2.A$2.B$2.A$B3AB$2.A$2.B5$2.B3.2A3.B$2.A3.
2A3.A$B3AB.2A.B3AB$2.A3.2A3.A$2.B2.B2AB2.B14$6.B$6.A$4.B3AB$6.A$6.B
15$2.B$2.A$B3AB$2.A$2.B$2.A$B3AB$2.A$2.B5$2.B3.2A3.B$2.A3.2A3.A$B3AB.
2A.B3AB$2.A3.2A3.A$2.B2.B2AB2.B24$6.B$6.A$4.B3AB$6.A$6.B19$2.B$2.A$B
3AB$2.A$2.B5$2.B3.2A3.B$2.A3.2A3.A$B3AB.2A.B3AB$2.A3.2A3.A$2.B2.B2AB
2.B17$2.B8.B$2.A8.A$B3AB4.B3AB$2.A8.A$2.B8.B4.2BA$B16.A.A22.B$4A11.B
5A21.A$4A12.A2B2A19.B3AB$B15.B2A23.A$2.B11.B3.A23.B$2.A11.A$B3AB7.B3A
B$2.A11.A$2.B11.B11$26.B$26.A$24.B3AB$26.A$26.B!
The latest version of the 5S Project contains over 47,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron
 
Posts: 1115
Joined: August 9th, 2013, 12:45 am

Re: BSFK rulespace

Postby bprentice » November 14th, 2014, 6:52 am

wildmyron wrote:Here is a small collection of guns based on a different mechanism.

Nice collection!

After posting yesterdays gun I realized that this common pattern is actually a two barreled gun.

x = 19, y = 8, rule = B248S3456F038K234567L067
15.A$2.A3B6.2B3A$2.A4.A.A3.A.A.A$4A.B.4A.B4.2A$4A.B.4A.B4.2A$2.A4.A.A
3.A.A.A$2.A3B6.2B3A$15.A!


Here is another gun based on the same pattern:

x = 180, y = 6, rule = B248S3456F038K234567L067
B2.B22.2BA20.A2B21.A2B6.2BA10.A2B6.2BA21.2BA20.A2B22.B2.B$.2A23.A2.
A18.A2.A12.A.2B7.A6.A2.A8.A2.A6.A7.2B.A12.A2.A18.A2.A23.2A$.2A13.A.
B3.3A.B.3A9.BA5.3A.B.A9.4A5.AB.B2.3A.B.3A6.3A.B.3A2.B.BA5.4A9.A.B.3A
5.AB9.3A.B.3A3.B.A13.2A$.2A13.A.B3.3A.B.3A9.BA5.3A.B.A9.4A5.AB.B2.3A
.B.3A6.3A.B.3A2.B.BA5.4A9.A.B.3A5.AB9.3A.B.3A3.B.A13.2A$.2A23.A2.A18.
A2.A12.A.2B7.A6.A2.A8.A2.A6.A7.2B.A12.A2.A18.A2.A23.2A$B2.B22.2BA20.
A2B21.A2B6.2BA10.A2B6.2BA21.2BA20.A2B22.B2.B!


Brian Prentice
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Re: BSFK rulespace

Postby c0b0p0 » November 18th, 2014, 11:49 pm

I have recently grown interested in "far salvos", which are hybrid syntheses with a slowship being hit from the back by a group of faster ships. Most messes caused by the collision occur far from the salvo gun, so any glider produced that goes back towards the gun must withstand many salvos.

A 180-degree reflector, a mess-producing collision, another 180-degree reflector, a 90-degree reflector which also leaves behind a still life, and a 90-degree reflector are below.
#CXRLE Pos=-32,-27
x = 11, y = 49, rule = B1S345678F2378K468L03568
.BA$A2B$3BA$3B34$.2A$4B$4B7$8.2A$7.4B$7.4B!

x = 11, y = 49, rule = B1S345678F2378K468L03568
.BA$A2B$3BA$3B34$.2A$4B$4B8$7.A2BA$7.4B!

x = 8, y = 50, rule = B1S345678F2378K468L03568
.BA$A2B$3BA$3B34$.2A$4B$4B9$4.A2BA$4.4B!

x = 4, y = 61, rule = B1S345678F2378K468L03568
.BA$A2B$3BA$3B34$.2A$4B$4B20$A2BA$4B!

x = 4, y = 51, rule = B1S345678F2378K468L03568
.BA$A2B$3BA$3B34$.2A$4B$4B9$.2A$4B$4B!
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Re: BSFK rulespace

Postby c0b0p0 » February 7th, 2015, 6:54 pm

c0b0p0 wrote:but it is very difficult to make closely-spaced glider pairs.


Here is a simple way to generate arbitrarily closely-spaced gliders. It can even generate all slow salvos made of two gliders in the same lane!
x = 9, y = 55, rule = B1S345678F2378K468L03568
.A$3B$A2B37$6.B$7.2A$7.2A12$.AB$.2BA!
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Re: BSFK rulespace

Postby c0b0p0 » February 21st, 2015, 10:07 pm

Here is an infinite novelty pattern.
x = 37, y = 107, rule = B1S345678F2378K468L03568
23.AB$23.2B$24.A14$13.AB$13.2B$13.2B$13.AB2$.A$2B$AB60$35.AB$35.2B$
36.A14$25.AB$25.2B$25.2B$25.AB2$13.A$12.2B$12.AB!
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Re: BSFK rulespace

Postby c0b0p0 » April 9th, 2015, 9:48 pm

As it turns out, although the 10-cell gun is the smallest gun know in this rule, the smallest one-barrel gun is very different from it and uses a different glider-production method than any other gun.
x = 8, y = 17, rule = B1S345678F2378K468L03568
5.2A$5.2A$4.B6$6.2A$6.2A$5.B5$AB$2BA!
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Re: BSFK rulespace

Postby BlinkerSpawn » April 25th, 2015, 12:25 pm

p1 spaceship, anyone?
x = 5, y = 4, rule = B248S3456F038K234567L067
.A3B$.2A$2A$A3B!

EDIT: May or may not be a minimal gun.
x = 13, y = 12, rule = B248S3456F038K234567L067
B2.B$.2A6.B2.B$.2A5.5A$B2.B4.5A$9.B2.B4$B2.B5.B2.B$.2A5.5A$.2A5.5A$B
2.B5.B2.B!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: BSFK rulespace

Postby c0b0p0 » June 7th, 2015, 10:33 pm

Here is a glider duplicator.
x = 36, y = 10, rule = B2SF2K1
20.B11.B$17.B5.B5.B5.B$25.B.B$A$2.A$2.A$A$25.B.B$17.B5.B5.B5.B$20.B
11.B!

Using it, one can construct guns with arbitrarily high periods. One of them is shown below.
x = 59, y = 10, rule = B2SF2K1
3.B11.B27.B11.B$B5.B5.B5.B21.B5.B5.B5.B$8.B.B37.B.B$23.A$25.A$25.A$
23.A$8.B.B37.B.B$B5.B5.B5.B21.B5.B5.B5.B$3.B11.B27.B11.B!
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Re: BSFK rulespace

Postby BlinkerSpawn » July 2nd, 2015, 2:58 pm

Previous gun wasn't minimal:
x = 25, y = 8, rule = B248S3456F038K234567L067
12.B2.B$13.2A$13.2A$12.B2.B$.A19.B2.B$3AB15.6A$.A17.6A$21.B2.B!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: BSFK rulespace

Postby AbhpzTa » April 30th, 2018, 3:28 pm

BSFKL RULE 67 (B1S345678F2378K468L03568) :
bprentice wrote:Rule 067 is here:
@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

Signal conduits:

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

F10(11):
x = 9, y = 6, rule = B1S345678F2378K468L03568
.BA$.2B$B2.B$.2A2.B2.B$.2A3.2A$6.2A!

R12(13):
x = 9, y = 9, rule = B1S345678F2378K468L03568
7.2A$7.2A$6.B$.BA$.2B$B2.B$.2A$.2A$3.B!

R13(13):
x = 5, y = 8, rule = B1S345678F2378K468L03568
.BA$.2B$B2.B$.2A$.2A.B$2.2A$2.2A$4.B!

Fx11(10):
x = 9, y = 6, rule = B1S345678F2378K468L03568
.BA5.B$.2B3.2A$B2.B2.2A$.2A2.B2.B$.2A$3.B!


Signal splitters
R13_L14(19) [R13_(L14+R12) = recovery time 21][R13_(L14+R13) = recovery time 20]:
x = 10, y = 9, rule = B1S345678F2378K468L03568
7.B$.BA5.2A$.2B5.2A$B2.B3.B$.2A$.2A.B$2.2A$2.2A$4.B!

F12_B16(16):
x = 10, y = 10, rule = B1S345678F2378K468L03568
2.BA$2.2B$.B2.B$2.2A2.B2.B$2.2A3.2A$4.B2.2A$.2A2.B$.2A3.2A$B2.B2.2A$
5.B!





[(1,0)c/2_p2_mod2] + signal -> 2 [(1,0)c/2_p2_mod2]s (recovery time 24):
x = 10, y = 5, rule = B1S345678F2378K468L03568
.BA$.2B3.A2BA$B2.B2.4B$.2A$.2A!


0-degree [(1,0)c/2_p2_mod2]-to-[(1,0)c/3_p18_mod9] , recovery time 24:
x = 8, y = 11, rule = B1S345678F2378K468L03568
2.B$2A$2A7$4.A2BA$4.4B!

90-degree [(1,0)c/2_p2_mod2] color-preserving reflector (23):
x = 16, y = 9, rule = B1S345678F2378K468L03568
7.2A$7.4A$6.B2.2A3.2A$8.B2.B2.2A$13.B$BA$2B$2B$BA!



[(1,0)c/2_p2_mod2]/[(1,0)c/3_p18_mod9] guns of all periods >= 24 can be constructed.

EXAMPLE (p29 [(1,0)c/2_p2_mod2] gun):
x = 23, y = 49, rule = B1S345678F2378K468L03568
12.2B$12.2BA$11.B2.B$9.B2.2A2.B2.B$10.4A3.2A$10.2A5.2A.B$9.B8.2A$18.
2A$7.B2.B6.B2.B$8.2A7.2B$8.2A7.A2B$10.2BA7.2A$11.2B7.2A$9.B2.B6.B2.B$
10.2A$10.2A8.B$9.B.2A5.2A$11.2A3.4A$6.B3.B2.B2.2A2.B$4.2A9.B2.B$4.2A
9.A2B$6.B9.2B$6.3BA$.2A3.A2BA$.2A6.BA$B2.B5.2B$9.2B$9.BA6$.A2BA$.4B4$
9.4B$9.4B2.B$10.2A4.2A$14.B.2A$15.2A$15.2A$5.AB7.B$2.B2.2B$2A3.2B6.B$
2A3.AB7.2A$2.B11.2A!



Lower-period guns

p13, [(1,0)c/2_p2_mod2]:
x = 5, y = 10, rule = B1S345678F2378K468L03568
2A$2A$2.2B$3.BA$2A$2A$2.B$2.B$2A$2A!

p17, [(1,0)c/2_p2_mod2]:
x = 8, y = 11, rule = B1S345678F2378K468L03568
5.B$3.2A.B$2A.3ABA$2A2.A.B$2.2BABA4$2.B$2A$2A!

p18, [(1,0)c/2_p2_mod2]:
x = 7, y = 10, rule = B1S345678F2378K468L03568
4.2A$4.2A$3.B2.B2$2.AB$2.2BA2$2.B$2A$2A!

p23, [(1,0)c/2_p2_mod2]:
x = 7, y = 9, rule = B1S345678F2378K468L03568
2.4A$2.4A$6.B$2.B$.A$3AB$.A3.B$3.2A$3.2A!




Puffers/Rakes

(1,0)c/3 p18 [(1,0)c/3_p18_mod9] backrake:
x = 4, y = 13, rule = B1S345678F2378K468L03568
2.BA$.A2B$2.2B2$2.2B$.A2B$2.BA4$A$2B$BA!

(1,0)c/3 p42 [(1,0)c/3_p18_mod9] backrake:
x = 6, y = 24, rule = B1S345678F2378K468L03568
3.BA$2.A2B$3.2B2$3.2B$2.A2B$3.BA4$4.A$4.2B$4.BA5$A$2B$BA2$BA$2B$A!

(1,0)c/3 p48 [(1,0)c/2_p2_mod2] backrake:
x = 3, y = 13, rule = B1S345678F2378K468L03568
.A$.2B$.BA2$.BA$.2B$.A4$.2B$A2B$.BA!

(1,0)c/3 p60 double-barreled [(1,0)c/3_p18_mod9] backrake:
x = 4, y = 13, rule = B1S345678F2378K468L03568
2.A$2.2B$2.BA2$2.BA$2.2B$2.A4$.BA$A2B$.2B!



(1,0)c/3 p6 technology

Fore [(1,0)c/2_p2_mod2] to 2 side [(1,0)c/3_p18_mod9]s (72):
x = 15, y = 9, rule = B1S345678F2378K468L03568
13.A$13.2B$13.BA2$13.BA$2B11.2B$2BA10.A$2BA$2B!

180-degree side [(1,0)c/3_p18_mod9] to side [(1,0)c/3_p18_mod9] (18):
x = 7, y = 20, rule = B1S345678F2378K468L03568
4.A2B$5.BA12$A$2B$BA2$BA$2B$A!

Side [(1,0)c/3_p18_mod9] to back [(1,0)c/3_p18_mod9] (18):
x = 5, y = 15, rule = B1S345678F2378K468L03568
2.A2B$3.BA7$.BA$A2B$.2B2$.2B$A2B$.BA!

Back [(1,0)c/3_p18_mod9] to (side [(1,0)c/2_p2_mod2] + back [(1,0)c/3_p18_mod9]) (42):
x = 60, y = 32, rule = B1S345678F2378K468L03568
28.A2B$28.3BA$28.AB2$28.AB$28.3BA$28.A2B3$57.AB$57.2BA$57.2B4$41.A$
41.2B$41.BA2$41.BA$41.2B$41.A2$.BA18.2B$A2B18.2B$.2B20.2BA$24.B$.2B$A
2B21.B$.BA20.2BA$21.2B$21.2B!

Side [(1,0)c/2_p2_mod2] to 2 side [(1,0)c/2_p2_mod2]s (18):
x = 4, y = 16, rule = B1S345678F2378K468L03568
4B$A2BA8$2.A$2.2B$2.BA2$2.BA$2.2B$2.A!



and this 2[(1,0)c/2_p2_mod2]-to-2[(1,0)c/2_p2_mod2] reaction:
x = 8, y = 6, rule = B1S345678F2378K468L03568
4B$A2BA3$4.A2BA$4.4B!

and these (1,0)c/3 p6 eaters:
x = 6, y = 14, rule = B1S345678F2378K468L03568
2.4B$2.A2BA6$A$2B$BA2$BA$2B$A!
x = 10, y = 22, rule = B1S345678F2378K468L03568
A$2B$BA2$BA$2B$A3$8.2B$7.A2B$7.A2B$8.2B3$A$2B$BA2$BA$2B$A!
x = 14, y = 13, rule = B1S345678F2378K468L03568
.BA$A2B$.2B2$.2B$A2B$.BA4$12.AB$12.2B$13.A!



(1,0)c/3 [(1,0)c/2_p2_mod2] siderakes / [(1,0)c/2_p2_mod2] backrakes / [(1,0)c/3_p18_mod9] backrakes of all periods of the form 72+6n (n>=0) can be constructed.

EXAMPLE ((1,0)c/3 p78 [(1,0)c/2_p2_mod2] siderake):
x = 195, y = 126, rule = B1S345678F2378K468L03568
51.A$51.2B$51.BA2$51.BA$51.2B$51.A3$79.AB$79.4B$47.A2BA8.A20.3B$47.4B
8.2B19.B.A$59.BA$80.B.A$59.BA19.3B$59.2B18.4B$43.A2B.2B10.A19.AB$44.
5B47.2B$46.B49.2B$98.2BA$99.B$44.A111.A2B$44.2B43.2BA6.2B56.3BA$44.BA
43.3B.A4.2BA55.AB$88.3B.BA$44.BA42.AB.A2B62.AB$44.2B110.3BA$44.A93.BA
16.A2B$135.AB.2B$135.2B2.A$136.A3$87.BA$86.A2B$87.2B2$87.2B$86.A2B$
87.BA2$21.4B$21.A2BA4$170.A2B$170.3B$171.A7$.A$3BA$4B188.A$2BA188.3BA
$191.4B$2BA188.2BA$4B$3BA187.2BA$.A12.BA11.BA11.BA11.BA11.BA11.BA11.B
A11.BA11.BA11.BA11.BA11.BA11.BA11.BA6.4B$14.2B11.2B11.2B11.2B11.2B11.
2B11.2B11.2B11.2B11.2B11.2B11.2B11.2B11.2B6.3BA$14.2B11.2B11.2B11.2B
11.2B11.2B11.2B11.2B11.2B11.2B11.2B11.2B11.2B11.2B7.A$14.BA11.BA11.BA
11.BA11.BA11.BA11.BA11.BA11.BA11.BA11.BA11.BA11.BA11.BA3$158.AB$.A
156.4B$3BA155.3B$4B155.B.A$2BA$159.B.A$2BA156.3B$4B154.4B$3BA154.AB$.
A85.BA$86.A2B$87.2B$171.A$87.2B81.3B$86.A2B81.A2B$87.BA55.BA$141.A4B$
143.2B$142.A2B$95.A$25.A2BA65.2B76.BA$25.4B15.A49.BA48.A2B24.A2B$44.
2B49.A48.3BA24.2B$44.BA49.A2B46.AB$96.2B74.2B$44.BA52.2BA43.AB25.A2B$
44.2B6.AB45.B44.3BA24.BA$44.A7.2B90.A2B$49.AB2.B45.B$49.2B2.2A43.2BA$
49.AB45.2B$51.4B41.2B$51.A2BA4.A19.AB$59.2B18.4B$59.BA19.3B$80.B.A$
59.BA$59.2B19.B.A$59.A20.3B$79.4B$79.AB6$46.AB$46.4B$47.3B$41.A5.B.A$
41.2B$41.BA4.B.A$47.3B$41.BA3.4B$41.2B3.AB$41.A!




Quadratic growth

p105 rake gun (rake + reflectors version):
x = 135, y = 100, rule = B1S345678F2378K468L03568
50.B$48.2A39.2B$48.2A38.A2B$50.B37.A2B40.B$89.2B41.2A$132.2A$43.B87.B
$41.2A7.2B50.AB22.A2B$41.2A6.A2B50.2B22.3B$43.B5.A2B50.2B15.B7.A$50.
2B50.AB16.2A$120.2A$119.B$2.B2A$2A.2B$2A61.2A6.2A$2.B40.B2.B2.4B10.2A
6.2A$3.2B39.2A3.4B2.B6.B2.B4.B$4.A39.2A4.2A4.2A$54.B.2A$55.2A$37.B17.
2A26.B$35.2A17.B29.2A$35.2A23.4B20.2A$37.B15.B6.4B19.B$54.2A5.2A$54.
2A3$78.A2B$20.B57.3B33.2BA$18.2A16.AB41.A9.2B23.2B$18.2A16.2B41.A2B6.
A2B22.4BA$20.B15.2B41.3B6.A2B16.B5.AB$36.AB51.2B17.2A$108.2A$107.B$
52.B$53.2A$53.2A$35.B2.B12.2B2.B$36.2A12.A2BA$36.2A13.2B73.2BA$126.2B
$28.B96.4BA$26.2A97.AB$26.2A27.B$28.B22.B2.B.2A$52.2A2.2A$52.2A.B2.B
2$14.2A24.2A$14.2A24.2A$13.B2.B22.B62.A2B$102.3B$30.A44.AB26.A$28.A.B
44.2B26.A2B$28.3B44.2B18.B7.3B$28.4B43.AB19.2A$30.BA64.2A$95.B3$7.2A
62.2A$7.2A36.2A24.2A5.2BA$9.B35.2A23.B7.3B33.A2B$47.B31.A34.3B$.4B30.
2A24.A2B51.A$.A2BA30.2A25.BA51.A2B$19.4B11.B2.B35.AB34.2B4.3B$9.A3.2B
4.A2BA11.2B2.BA33.3BA29.2B.2BA$7.2A4.2B12.4B3.2B2.2B33.A2B30.2B.B$7.
2A18.A2BA27.2B$9.B.A3B43.2BA27.A5.A2B$12.2B44.2BA26.2B5.3BA27.B4.2BA$
13.A44.2B24.2B.2B5.AB25.AB.BA3.3B$84.2B2.A32.2B6.B$60.AB22.AB35.2B$
60.2B.BA31.2BA34.BA$60.A2.2B31.4B33.2B$26.B2.B33.A32.3BA33.A$27.2A68.
A$27.2A55.A2B30.2B.B$43.B3.A2B34.3BA29.2B.2BA$41.2A4.2BA34.AB34.2B$
41.6A$45.2A$47.B10.B$37.B18.2A$18.B2.B16.2A16.2A$19.2A17.2A.2A$19.2A
16.B2.3A$39.B2$27.BA$27.2B$B2.B23.2B25.B$.2A24.BA26.2A$.2A52.2A$54.B!

p840 pufferless breeder:
x = 135, y = 98, rule = B1S345678F2378K468L03568
22.B2.BA2B5.B$23.2A2.2B6.2A$21.B.2A.A2B2.B3.2A$22.2A.B3.2A3.B27.2A17.
B$19.2B.2A5.2A31.2A18.2A$19.3B39.B2.B17.2A$20.A60.B$8.B47.2A$6.2A11.
2B35.2A$6.2A10.A2B34.B2.B$8.B9.A2B48.2A40.B$19.2B48.2A41.2A$68.B2.B
40.2A2.2A7.B$111.B2.B.2A8.2A$28.2A85.B2.B7.2A$28.2A95.B$27.B2.B3$28.B
18.B$26.2A.2B17.2A44.2A$26.2A.2B11.B2.B2.2A14.B25.B3.2A3.B$28.BA13.2A
2.B17.2A21.2A3.B2.B3.2A$40.B2.2A20.2A21.2A3.A2B4.2A$38.2A2.B2.B18.B
25.B3.2B3.B$27.B2.B7.2A4.2B41.2A$28.2A10.B3.BA2.B2.B35.2A$28.2A19.2A
36.2A$30.B18.2A38.B2$.2A$.2A81.BA$B2.B80.2B$84.2B$2.2A80.BA$.4B$.4B5$
109.4B$64.BA43.4B$64.2B44.2A$14.B2.B46.2B$15.2A47.BA$15.2A2$20.2A$16.
B3.2A3.B$14.2A3.B2.B3.2A$14.2A2.A2B5.2A13.2A$13.B2.B2.2B4.B4.B10.2A8.
BA$28.2A10.B2.B7.2B$28.2A.B19.2B$29.2A20.BA$2.B26.2A$2A29.B$2A41.B7.B
$2.B29.B11.2A3.2A.BA16.B$27.B2.2A12.2A3.2A.2B14.2A2.B2.B26.2A$25.AB.
4A11.B4.B2.B16.2A3.2A2.B24.2A$25.2B.2A43.4A24.B2.B$6.B2.B17.B47.2A$7.
2A40.B$7.2A38.2A.2B$25.4B18.2A.2B$20.2A3.A2BA20.BA$20.2A$11.B2.BA3.B
2.B$9.2A3.2B32.B2.B66.B$9.2A2.B2.B28.B3.2A40.B2.B13.B2.B7.2A$11.B2.2A
30.2A.2A41.2A15.2A8.2A$14.2A2.B27.2A44.2A10.B4.2A7.B$13.B2.B2.2A24.B
53.B2.B2.2A$19.2A76.B2.2A3.2A$18.B79.4A$25.B72.2A$23.2A$23.2A31.B$54.
2A$54.2A$56.B67.B2.B$125.2A$125.2A2$85.B$54.B2.B28.2A$55.2A29.2A$55.
2A28.B5$132.B$42.B2.B87.2A$43.2A88.2A$43.2A87.B!




MISC

Interesting sequence generator:
x = 50, y = 65, rule = B1S345678F2378K468L03568
.2A25.B$.2A26.2A$B2.2BA21.A.2A$3.A2B20.3B$26.4B$26.4B$27.2A3$21.2A$
21.2A23.AB$20.B2.B22.4B$47.3B$47.B.A$15.B2.B23.2B$16.2A2.B21.2BA2.B.A
$7.2A5.B.4A22.2BA2.3B$7.2A6.2A.2A22.2B2.4B$9.B5.4A.B25.AB$14.B2.2A$
16.B2.B3$34.B$32.2A$32.2A$34.B$2.2A$.4B33.A$.4B33.2B$2.3B20.2BA10.BA$
2A.A21.A2B2.B$2A26.2A8.BA$2.B25.2A8.2B$38.A10$34.B2.B$35.2A$35.2A2$
19.B$20.2A$20.2A$12.B2.B3.B$9.AB2.2A$8.2B.4A.B$8.2B.2A.2A$10.B.4A$12.
2A2.B$11.B2.B5$12.B$13.2A$13.2A!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: BSFK rulespace

Postby bprentice » May 31st, 2018, 8:53 am

An omni-periodic rule:

@RULE B26S3456F0123458K457L0178
@TREE
num_states=3
num_neighbors=8
num_nodes=104
1 0 2 0
2 0 0 0
1 1 2 2
2 0 2 0
3 1 3 1
1 0 1 2
2 2 5 2
3 3 6 3
4 4 7 4
2 5 5 5
3 6 9 6
4 7 10 7
1 0 0 0
2 0 0 12
3 1 3 13
4 4 7 14
5 8 11 15
3 9 9 9
4 10 17 10
2 0 2 12
3 3 6 19
4 7 10 20
5 11 18 21
2 12 12 12
3 13 19 23
4 14 20 24
5 15 21 25
6 16 22 26
1 1 1 2
2 5 28 5
3 9 29 9
4 17 30 17
1 1 0 2
2 2 5 32
3 6 9 33
4 10 17 34
5 18 31 35
2 12 32 12
3 19 33 37
4 20 34 38
5 21 35 39
6 22 36 40
2 12 12 0
3 23 37 42
4 24 38 43
5 25 39 44
6 26 40 45
7 27 41 46
2 28 0 28
3 29 48 29
4 30 49 30
1 0 0 2
2 5 5 51
3 9 9 52
4 17 30 53
5 31 50 54
2 32 51 32
3 33 52 56
4 34 53 57
5 35 54 58
6 36 55 59
2 12 32 0
3 37 56 61
4 38 57 62
5 39 58 63
6 40 59 64
7 41 60 65
3 42 61 13
4 43 62 67
5 44 63 68
6 45 64 69
7 46 65 70
8 47 66 71
3 48 1 48
4 49 73 49
3 9 29 52
4 30 49 75
5 50 74 76
2 51 51 51
3 52 52 78
4 53 75 79
5 54 76 80
6 55 77 81
1 0 2 2
2 32 51 83
3 56 78 84
4 57 79 85
5 58 80 86
6 59 81 87
7 60 82 88
2 0 83 12
3 61 84 90
4 62 85 91
5 63 86 92
6 64 87 93
7 65 88 94
8 66 89 95
3 13 90 42
4 67 91 97
5 68 92 98
6 69 93 99
7 70 94 100
8 71 95 101
9 72 96 102


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Re: BSFK rulespace

Postby danny » May 31st, 2018, 2:51 pm

bprentice wrote:An omni-periodic rule:

p30 gun:
x = 14, y = 21, rule = B26S3456F0123458K457L0178
2.2B$.B2AB$2.2A$.B2AB$.4A$2.2A3$9.B.B$8.B3AB$9.4AB$2.AB3.BA.A.A$.3AB
3.5A$B.2A3.BABABAB$B.2A3.B.ABA.B$4AB2.BABABAB$2.AB4.5A$7.BA.A.A$9.4AB
$8.B3AB$9.B.B!
she/they // Please stop using my full name. Refer to me as dani.

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Re: BSFK rulespace

Postby bprentice » June 3rd, 2018, 8:21 am

bprentice wrote:An omni-periodic rule:

@RULE B26S3456F0123458K457L0178



x = 166, y = 80, rule = B26S3456F0123458K457L0178
49.2B9.2B$24.A4.A19.2A9.2A$23.8A16.B4AB5.B4AB$24.2A2B2A18.A2.A2.B.B
2.A2.A$24.AB2.BA17.B4A2B3A2B4AB81.B.A$24.2A2B2A18.A2.A2.3A2.A2.A82.
B3A$23.8A16.B4ABAB.BAB4AB81.A.A$24.A4.A18.A2.A7.A2.A93.BA3.B.B$47.B
4AB5.B4AB80.B.B9.2BA2.3A$49.2A9.2A82.3A9.2BAB2A.2AB$49.2B9.2B80.B2A
.2AB10.B2A.2AB$142.B2A.2AB12.3A$144.3A14.B.B$144.B.B2$106.BA2.2BA2.
2BA$105.B.A2.A2.A2.A$106.12A$107.A2.A2.A2.A.B$106.A2B2.A2B2.AB4$147.
A$2.2BA17.2BA17.BA18.BA18.BA62.3A$3.A17.B.A17.B.A17.B.A17.B.A63.A$A
.3A.B15.3A.B15.3A17.3A17.3A60.B.A$B2A.2AB16.3A.B15.A.B17.3A17.3A20.
BA37.B3A$B.3A.A15.A.3A.A14.AB19.A.B17.3A18.B.A37.A.A$3.A19.B.3A36.A
B19.A.B18.3A52.B.B$2.A2B19.B.3A56.AB20.A.B34.B.B14.3A$27.A.B77.AB35.
3A12.B2A.2AB$27.AB113.B2A.2AB10.B2A.2AB$142.B2A.2AB12.3A$144.3A14.B
.B$144.B.B4$106.BA4.2BA4.2BA$105.B.A2.A2.A2.A2.A2.A$106.18A$107.A2.
A2.A2.A2.A2.A.B22.A$2.BA18.BA18.BA18.BA18.BA24.A2B4.A2B4.AB22.3A$.B
.A17.B.A17.B.A17.B.A17.B.A63.A$2.3A17.3A17.3A17.3A17.3A62.A$3.3A17.
3A17.3A17.3A17.3A60.3A$4.3A17.3A17.3A17.3A17.3A60.A$5.3A17.3A17.3A17.
3A17.3A57.B.A$6.A.B17.3A17.3A17.3A17.3A56.B3A$6.AB19.A.B17.3A17.3A17.
3A55.A.A$27.AB19.A.B17.3A17.3A15.BA5.2B46.B.B$48.AB19.A.B17.3A13.B.
A2.A2.A.A28.B.B14.3A$69.AB19.A.B13.9A29.3A12.B2A.2AB$90.AB15.A2.A2.
A28.B2A.2AB10.B2A.2AB$109.A2B30.B2A.2AB12.3A$144.3A14.B.B$144.B.B4$
147.A$146.3A$4.2BA17.2BA17.2BA17.2BA17.2BA19.BA39.A$5.A19.A19.A19.A
19.A19.B.A2.A36.A$4.3A17.3A17.3A17.3A17.3A19.6A34.3A$.A.2A.2AB14.2A
.2A15.2A.2A15.2A.2A15.2A.2A19.A2.A.B34.A$B.5A.B11.A.5A.B13.5A17.3A15.
5A23.AB35.A$B2A.2A.A11.B.2A.2A.B11.A.2A.2A.B17.A15.2A.2A60.3A$2.3A13.
B.5A.A11.B.5A.B17.A2B13.5A62.A$3.A15.2A.2A13.B.2A.2A.A31.A.2A.2A.B59.
B.A$2.A2B15.3A15.5A33.B.5A.B60.B3A$21.A15.2A.2A33.B.2A.2A.A61.A.A$20.
A2B15.3A35.5A80.B.B$39.A35.2A.2A64.B.B14.3A$38.A2B33.5A27.BA7.2BA26.
3A12.B2A.2AB$73.2A.2A27.B.A2.A2.A2.A25.B2A.2AB10.B2A.2AB$74.3A29.12A
24.B2A.2AB12.3A$75.A31.A2.A2.A2.A27.3A14.B.B$74.A2B34.A2B30.B.B!


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Re: BSFK rulespace

Postby bprentice » July 7th, 2018, 1:40 pm

Screen shots of two BSFKL rules running on a triangular grid:

Example 1.png
Example 1.png (583.48 KiB) Viewed 4655 times


Example 2.png
Example 2.png (542.55 KiB) Viewed 4655 times


Brian Prentice
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Re: BSFK rulespace

Postby muzik » February 11th, 2019, 2:06 pm

Has anyone tried generalizing BSFKL to non-totalistic rules? I can see this potentially becoming problematic due to the k transition, which could be confused with the K value especially for Catagolue (which is why I'm planning on making a fourth isoplus notation to remove this issue for there).
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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