ConwayLife.com

Posted: **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:

Code: Select all

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!

Code: Select all

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!

Code: Select all

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!

Code: Select all

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!

Code: Select all

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:

Code: Select all

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!

Code: Select all

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!

Code: Select all

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

Posted: **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.

Code: Select all

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.

Code: Select all

x = 6, y = 6, rule = B268S3456F01356K268L0345
2.A$A$A$.A3.A$2.A$3.2A!

Posted: **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:

Code: Select all

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.

Code: Select all

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.

Code: Select all

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!

Posted: **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:

Code: Select all

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:

Code: Select all

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!

Code: Select all

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!

Code: Select all

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

Posted: **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:
Code: Select all
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:

Code: Select all

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!

Posted: **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.

Code: Select all

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.

Posted: **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.

Code: Select all

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!

Posted: **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.
Code: Select all
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.

Code: Select all

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.

Code: Select all

x = 24, y = 5, rule = B1S345678F2378K468L03568
23.B$A2.A18.AB$.2A19.2A$.2A$A2.A!

Posted: **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%20Squ ... /BSFKL.zip

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

Code: Select all

@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

Code: Select all

@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:

Code: Select all

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!

Code: Select all

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

Code: Select all

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!

Code: Select all

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!

Code: Select all

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!

Code: Select all

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!

Code: Select all

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!

Code: Select all

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

Posted: **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.

Code: Select all

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

Posted: **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.

Code: Select all

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!

Posted: **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.

Code: Select all

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:

Code: Select all

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

Posted: **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.

Code: Select all

#CXRLE Pos=-32,-27
x = 11, y = 49, rule = B1S345678F2378K468L03568
.BA$A2B$3BA$3B34$.2A$4B$4B7$8.2A$7.4B$7.4B!

Code: Select all

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

Code: Select all

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

Code: Select all

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

Code: Select all

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

Posted: **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!

Code: Select all

x = 9, y = 55, rule = B1S345678F2378K468L03568
.A$3B$A2B37$6.B$7.2A$7.2A12$.AB$.2BA!

Posted: **February 21st, 2015, 10:07 pm**

Here is an infinite novelty pattern.

Code: Select all

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!

Posted: **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.

Code: Select all

x = 8, y = 17, rule = B1S345678F2378K468L03568
5.2A$5.2A$4.B6$6.2A$6.2A$5.B5$AB$2BA!

Posted: **April 25th, 2015, 12:25 pm**

p1 spaceship, anyone?

Code: Select all

x = 5, y = 4, rule = B248S3456F038K234567L067
.A3B$.2A$2A$A3B!

EDIT: May or may not be a minimal gun.

Code: Select all

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!

Posted: **June 7th, 2015, 10:33 pm**

Here is a glider duplicator.

Code: Select all

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.

Code: Select all

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!

Posted: **July 2nd, 2015, 2:58 pm**

Previous gun wasn't minimal:

Code: Select all

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!

Posted: **April 30th, 2018, 3:28 pm**

BSFKL RULE 67 (B1S345678F2378K468L03568) :

bprentice wrote:Rule 067 is here:

Code: Select all

@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:

Code: Select all

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

F10(11):

Code: Select all

x = 9, y = 6, rule = B1S345678F2378K468L03568
.BA$.2B$B2.B$.2A2.B2.B$.2A3.2A$6.2A!

R12(13):

Code: Select all

x = 9, y = 9, rule = B1S345678F2378K468L03568
7.2A$7.2A$6.B$.BA$.2B$B2.B$.2A$.2A$3.B!

R13(13):

Code: Select all

x = 5, y = 8, rule = B1S345678F2378K468L03568
.BA$.2B$B2.B$.2A$.2A.B$2.2A$2.2A$4.B!

Fx11(10):

Code: Select all

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]:

Code: Select all

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):

Code: Select all

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):

Code: Select all

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:

Code: Select all

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):

Code: Select all

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):

Code: Select all

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]:

Code: Select all

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]:

Code: Select all

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]:

Code: Select all

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]:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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):

Code: Select all

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):

Code: Select all

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):

Code: Select all

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):

Code: Select all

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):

Code: Select all

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:

Code: Select all

x = 8, y = 6, rule = B1S345678F2378K468L03568
4B$A2BA3$4.A2BA$4.4B!

and these (1,0)c/3 p6 eaters:

Code: Select all

x = 6, y = 14, rule = B1S345678F2378K468L03568
2.4B$2.A2BA6$A$2B$BA2$BA$2B$A!

Code: Select all

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!

Code: Select all

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):

Code: Select all

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):

Code: Select all

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:

Code: Select all

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:

Code: Select all

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!

Posted: **May 31st, 2018, 8:53 am**

An omni-periodic rule:

Code: Select all

@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

Brian Prentice

Posted: **May 31st, 2018, 2:51 pm**

bprentice wrote:An omni-periodic rule:

p30 gun:

Code: Select all

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!

Posted: **June 3rd, 2018, 8:21 am**

bprentice wrote:An omni-periodic rule:
Code: Select all
@RULE B26S3456F0123458K457L0178

Code: Select all

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!

Brian Prentice

Posted: **July 7th, 2018, 1:40 pm**

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

: Example 1.png (583.48 KiB) Viewed 12436 times

: Example 2.png (542.55 KiB) Viewed 12436 times

Brian Prentice

Posted: **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).

ConwayLife.com

BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace

Re: BSFK rulespace