BSFK rulespace

bprentice · Post by **bprentice** » June 21st, 2014, 9:05 pm

A rich enjoyable rule to just watch evolve:

@RULE B267S345F0278K678L0128

@TREE

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

Two of many guns:

Code: Select all

x = 15, y = 36, rule = B267S345F0278K678L0128
2.BA3BA3BAB$2.11A$.2ABABABABAB2A$2.2A.A.A.A.2A$.A.BABABABAB.A$.ABA.A.
A.A.ABA$2.ABABABABABA$.3A.A.A.A.3A$BA2BABABABA2BAB$BABAB5ABABAB$B4A5.
4AB$.BAB7.BAB10$.B$2.A$B4A$2ABA3BA$B2A.2A.B$BABAB2AB$B2A.A.A$2ABABAB$
B2A.A.A$BABAB2AB$B2A.2A.B$2ABA3BA$B4A$2.A$.B!

Brian Prentice

simsim314 · Post by **simsim314** » June 22nd, 2014, 3:42 am

For the previous rule another smaller gun:

Code: Select all

x = 46, y = 7, rule = B02S345F2K12458L0256
5.A.A19.A$3.A5.A19.A14.A$3.A5.A19.A13.3A$5.A.A19.A16.A$.A$3A$.A!

simsim314 · Post by **simsim314** » June 22nd, 2014, 12:37 pm

And here is another gun:

Code: Select all

x = 8, y = 9, rule = B267S345F0278K678L0128
2.BA2.A$2.6A$2.A3.A$.AB$.2A$.A$.A$3A$.A!

bprentice · Post by **bprentice** » June 22nd, 2014, 2:09 pm

This thread

viewtopic.php?f=11&t=967&p=8067&#p7064

discusses the chess knight neighborhood. Since it was easy to do, I tried using this neighborhood with the BSFKL program. As expected it produces interesting rules some of which support knight ships.

If anyone is interested in exploring this feature, change lines 143 thru 150 in file BSFKL.java to:

Code: Select all

      squareCell.getNeighbor(row - 2, column - 1),
      squareCell.getNeighbor(row - 2, column + 1),
      squareCell.getNeighbor(row - 1, column + 2),
      squareCell.getNeighbor(row + 1, column + 2),
      squareCell.getNeighbor(row + 2, column + 1),
      squareCell.getNeighbor(row + 2, column - 1),
      squareCell.getNeighbor(row + 1, column - 2),
      squareCell.getNeighbor(row - 1, column - 2)

and rebuild the program by typing 'makejar'.

Unfortunately I do not know how to run such rules using Golly. EricG, an inactive member of this forum, was interested in solving this problem some time ago.

Brian Prentice

simsim314 · Post by **simsim314** » June 22nd, 2014, 3:27 pm

Here is some interesting collection:

Code: Select all

x = 227, y = 156, rule = B267S345F0278K678L0128
209.2A$208.3A$209.4A$208.3B.B9.AB.A$209.3B7.B2.AB3A$209.2B10.B5A$209.
2B4.2A3.2A2.A$209.BA3.3A4.2A.2A$209.A2B3.2AB2.2A2.A$207.2ABA4.2B4.B5A
$208.2AB11.AB3A$207.AB.BA11.A.A$209.2BA11.BA45$90.2A$89.4A$80.AB8.2A$
21.BA2.A54.A8.4B$21.6A52.3A8.2B$21.A3.A53.BA9.2A$20.AB54.B4.A3.B4.2A$
20.2A53.A.A.BA3BA4B.2A.3BA3BAB$20.A55.15A.10A$20.A55.BA3BABABABABABAB
ABABABAB2A$19.3A56.3A.A.A.A.A.A.A.A.A.A.2A$20.A57.BABABABABABABABABAB
AB2A$80.A.A.A.A.A.A.A.A.A.A2.A$80.BABABABABABABABABABA3B$80.A.A.A.A.A
.A.A.A.A.A.2A.A$78.BABABABABABABABABABABAB3A$78.6AB2A.12ABA.B$77.A.BA
3B2AB2A3BA6B2A$77.2A.A5.2AB9.2B$77.B3AB5.B76.A$79.A.A81.4A$78.B84.BA.
B$163.A2B.A$163.2A.BA$160.BAB.2AB$160.5A$160.BAB.A47$7.B$6.A.A149.2B$
7.3A147.AB$3.A3.BA.A146.2A$.B3A2.2A.B146.BA$.2ABABAB2A2BA144.2A$.B2A.
3A.3BA144.AB$3ABA2BA2BA146.2A$2B2A.2A2B148.BA$3ABAB2A149.2A$.B2A.2A
150.AB$B2ABAB151.2A$2B2A.A151.BA$B2AB2A151.2A$.B2A.A.BA148.AB$.2ABAB
2A149.2A$.B2A.A.2A148.BA$2.2BABAB2A147.2A$5.A.2AB147.AB$5.BABA148.2A$
4.2A.A2B147.BA$3.2ABABA148.2AB$4.3A150.AB.A$3.A.A150.3AB$4.B152.2A$
157.2A!

And four cell space filler:

Code: Select all

x = 2, y = 2, rule = B267S345F0278K678L0128
2A$2A!

c0b0p0 · Post by **c0b0p0** » June 22nd, 2014, 5:54 pm

@bprentice: Here's a growing ship in your rule.

Code: Select all

x = 29, y = 5, rule = B267S345F0278K678L0128
.A.A24.A$2AB3AB3AB3AB3AB3AB3ABAB$4AB3AB3AB3AB3AB3AB3AB$.A.B.B$4.B!

\

simsim314 · Post by **simsim314** » June 23rd, 2014, 1:59 am

Gun puffer:

Code: Select all

x = 18, y = 44, rule = B267S345F0278K678L0128
3.2B2.A$4.AB2A$2.B6A$2.A.A.BA$7.A$4.AB2A$3.5AB$4.A.B.B$8.A$5.3A$5.3AB
$6.2B3$5.B3A$4.2ABA.B$6.A.A$6.BAB$6.A.A$5.ABA2B$4.A.A.A$3.2BABABAB2.B
$3.2A.A.A.AB$2.A.BABABA2BA$2.B2A.A.A.2A.B$3.ABABABA2BAB$2.B.A.A.A.2A.
2AB$2.BABABABA2BABAB$2.B.A.A.A.2A.A$2.BABABABA2BAB$2.A.A.A.A.2A.A$.AB
ABABABA2BABA.A$B.A.A.A.A.2A.A.AB$2ABABABABA2BABA2B$2.A.A.A.A.2A.A.A$
2.2ABABABA2BABABA$4.A.A.A.2A.A.A.B$4.2ABABA2BABAB2A$6.A.A.2A.A.A$6.2A
BA2BAB2A$8.A.2A.A$8.2A2B2A$10.2A$10.2A!

Small gun:

Code: Select all

x = 6, y = 7, rule = B267S345F0278K678L0128
2.A$.3AB$BAB2A$2AB3A$B2A.AB$2.2A$2.2A!

bprentice · Post by **bprentice** » June 23rd, 2014, 4:17 am

A series of puffers:

Code: Select all

x = 64, y = 76, rule = B267S345F0278K678L0128
.A$AB2A$AB2A$.A5$.A5.A$AB2A2.AB2A$AB2A2.AB2A$.A5.A5$.A5.A5.A$AB2A2.
AB2A2.AB2A$AB2A2.AB2A2.AB2A$.A5.A5.A5$.A5.A5.A5.A$AB2A2.AB2A2.AB2A2.
AB2A$AB2A2.AB2A2.AB2A2.AB2A$.A5.A5.A5.A5$.A5.A5.A5.A5.A$AB2A2.AB2A2.
AB2A2.AB2A2.AB2A$AB2A2.AB2A2.AB2A2.AB2A2.AB2A$.A5.A5.A5.A5.A5$.A5.A
5.A5.A5.A5.A$AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A$AB2A2.AB2A2.AB2A2.A
B2A2.AB2A2.AB2A$.A5.A5.A5.A5.A5.A5$.A5.A5.A5.A5.A5.A5.A$AB2A2.AB2A2.
AB2A2.AB2A2.AB2A2.AB2A2.AB2A$AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB
2A$.A5.A5.A5.A5.A5.A5.A5$.A5.A5.A5.A5.A5.A5.A5.A5.A$AB2A2.AB2A2.AB2A
2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A$AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.
AB2A2.AB2A2.AB2A2.AB2A$.A5.A5.A5.A5.A5.A5.A5.A5.A5$.A5.A5.A5.A5.A5.
A5.A5.A5.A5.A$AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.
AB2A$AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A$.A5.
A5.A5.A5.A5.A5.A5.A5.A5.A5$.A5.A5.A5.A5.A5.A5.A5.A5.A5.A5.A$AB2A2.A
B2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A$AB2A2.AB2A
2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A2.AB2A$.A5.A5.A5.A5.
A5.A5.A5.A5.A5.A5.A!

What will the next puffer in the series produce?

Brian Prentice

bprentice · Post by **bprentice** » July 3rd, 2014, 9:39 am

Here is another member of the BSFKL family of rules together with three guns and two ships:

Code: Select all

@RULE B01S0356F12345678K03478L014

@TREE

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

Code: Select all

x = 84, y = 33, rule = B01S0356F12345678K03478L014
3.9A$3.A7.A$4.3B.3B$2A2.A2B.3B$A.BA$A.2B$A.2B$A16.2A$A.2B11.2B.A$A.
2B11.2B.A$A.2B11.2B.A$2A16.A$15.2B.A$15.2B.A$15.AB.A$8.3B.2BA2.2A$8.
3B.3B13.B3.B3.B3.B3.B3.B3.B3.B12.B7.B$7.A7.A12.A3.A3.A3.A2.A.A.A.A.
A.A.A.A12.B2.A3.A$7.9A12.A3.A3.A3.A2.3A.3A.3A.3A9.B5.A3.A$28.5A3.5A
27.B2.7A$70.A$70.A$68.3A9.3AB$70.A9.A$70.A9.A$70.A9.A$67.B3A9.3A$80.
A$80.A$73.7A2.B$73.A3.A5.B$73.A3.A2.B$73.B7.B!

Code: Select all

x = 56, y = 56, rule = B01S0356F12345678K03478L014
2.B7.B$3.B2.A3.A$B5.A3.A$.B2.7A$3.A$3.A$.3A9.3AB$3.A9.A$3.A9.A$3.A9.
A$B3A9.3A$13.A$13.A$6.7A2.B$6.A3.A5.B2.2A.3A.3A.3A$6.A3.A2.B6.A.A.A
.A.A.A.A$6.B7.B4.B3.B3.B3.B7$40.2A$39.B.A$40.2A2$40.2A$39.B.A$40.2A
2$40.2A$39.B.A$40.2A2$40.2A$39.B.A3$41.B7.B$42.B2.A3.A$39.B5.A3.A$40.
B2.7A$42.A$42.A$40.3A9.3AB$42.A9.A$42.A9.A$42.A9.A$39.B3A9.3A$52.A$
52.A$45.7A2.B$45.A3.A5.B$45.A3.A2.B$45.B7.B!

Code: Select all

x = 25, y = 25, rule = B01S0356F12345678K03478L014
13.3A.3A$13.A.A.A.A$14.B3.B3$23.2A$22.B.A$23.2A2$23.2A$22.B.A$23.2A
2$2A$A.B$2A2$2A$A.B$2A3$6.B3.B$5.A.A.A.A$5.3A.3A!

Code: Select all

x = 97, y = 97, rule = B01S0356F12345678K03478L014
42.3A$41.2A.A$44.A$42.2BA$41.A2BA4$65.4A$68.A$66.2BA$65.A2BA6$63.B$
61.A.A$61.3A$41.3A$40.2A.A$43.A$41.2BA5.2A$40.A2BA4.B.A19.4A$50.A22.
A$71.2BA$70.A2BA2$63.B$61.A.A2.3A$61.3A2.A.A$38.3A27.B2$39.B4$32.A$
32.A.B$21.A2.A7.A$.A2.A15.2A.2B38.B$2A.2B15.A2.2B36.A.A2.3A$A2.2B15.
5A24.2A10.3A2.A.A$5A43.B.A17.B$49.2A$48.3A$48.B.A10.2A$24.B19.B.AB.
2A9.B.A$23.A19.A.2A.A13.2A$23.3A17.6A13.BA$55.2A.A2.B.B$52.BAB2.2B2.
B.B$52.AB.B2.B3.BA$52.B4.3B.3A2.3A$51.A.B2.B9.A.A$51.A3.B12.B$52.B.
B$51.A3B$54.B$48.B$18.2A10.2A10.2A3.A3.2B.A$19.A11.A11.A3.3AB2.BA$17.
B2A9.B2A9.B2A5.2A2B2A2$8.A2.A55.4A$8.A.2B18.2A10.2A10.2A11.B2.A$8.A
.2B18.A11.A11.A10.AB.B2A$8.4A18.2AB9.2AB9.2AB8.A.2B$65.A.A$24.A2.A37.
3A$24.A.2B48.2A$24.A.2B46.AB.A$24.4A49.A$72.A.2B.A$72.B.2B.A$71.A4.
2A$71.6A12$91.4A$91.B$89.AB3.B$89.A4.B$89.A3.B2.B$89.A.2B.A2B$94.B.
A$93.2BA!

Code: Select all

x = 114, y = 70, rule = B01S0356F12345678K03478L014
85.3A$87.A$86.B$86.B$87.A$85.3A6$23.B39.B$24.A39.A$23.BA38.BA$22.B.
B37.B.B26.2A2.2A$16.B.A.B35.B.A.B30.A.2B.A$17.3A37.3A31.A4.A$21.5A35.
5A$21.A.A.A35.A.A.A$21.2A2B36.2A2B$22.A.B37.A.B$22.A.A37.A.A$10.A11.
3A25.A11.3A$8.B.A37.B.A$9.2A38.2A50.2A2.2A$101.A.2B.A$101.A4.A4$2.A
106.5A$B.A103.A2.A.A.A$.2A16.B19.B19.B19.B19.B2.A.A.A2.2A2B$19.A.A17.
A.A17.A.A17.A.A17.A.A2.A.A3.A.B$19.3A17.3A17.3A17.3A17.8A3.A.A$19.3A
17.3A17.3A17.3A17.8A3.A.A$19.A.A17.A.A17.A.A17.A.A17.A.A2.A.A3.A.B$
.2A16.B19.B19.B19.B19.B2.A.A.A2.2A2B$B.A103.A2.A.A.A$2.A106.5A4$101.
A4.A$101.A.2B.A$9.2A38.2A50.2A2.2A$8.B.A37.B.A$10.A11.3A25.A11.3A$22.
A.A37.A.A$22.A.B37.A.B$21.2A2B36.2A2B$21.A.A.A35.A.A.A$21.5A35.5A$17.
3A37.3A31.A4.A$16.B.A.B35.B.A.B30.A.2B.A$22.B.B37.B.B26.2A2.2A$23.B
A38.BA$24.A39.A$23.B39.B6$85.3A$87.A$86.B$86.B$87.A$85.3A!

Brian Prentice

bprentice · Post by **bprentice** » July 4th, 2014, 10:10 am

Unlike the beautiful rule that Josh Ball has just posted here:

viewtopic.php?f=11&t=1408#p12514

this rule:

Code: Select all

@RULE B23478S03567F025678K1345678L028

@TREE

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

is very rich in puffers which can be observed by starting with a rectangle of random states. The rule also has this simple gun:

Code: Select all

x = 3, y = 5, rule = B23478S03567F025678K1345678L028
BA$BA$.A$.AB$.AB!

from which more complex guns can easily be constructed like this one:

Code: Select all

x = 93, y = 115, rule = B23478S03567F025678K1345678L028
41.A.B9.ABA10.BA$42.BAB8.ABA9.2BA$41.B2A23.A$42.B4.ABA10.BA4.AB3A$47.
ABA10.BA5.A.2B$69.B$44.2A$44.2B$44.2A$66.2A$66.2B2$41.2A$41.2B$41.2A
$69.2A$69.2B$69.2A2$44.2B$44.2A$66.2A$66.2B$66.2A$42.B$41.2B.A5.AB10.
ABA$41.3ABA4.AB10.ABA4.B$44.A23.2AB$44.A2B9.ABA8.BAB$44.AB10.ABA9.B
.A$26.AB10.ABA$5.A3BA10.BA4.AB10.ABA$5.A3BA10.BA$32.ABA10.BA10.BA$3.
A7.A3BA11.2B3.ABA10.BA10.BA$11.A3BA11.A$2A$2B$2B$2B26.2A$2A26.2B2$3.
2A$3.2B$3.2B30.AB10.ABA9.B.A3.2A$3.2B20.2A8.A2B9.ABA8.BAB4.2B$3.2A20.
2B8.A23.2AB$25.2B5.3ABA4.AB10.ABA4.B$25.2B5.2B.A5.AB10.ABA$25.2A6.B
$57.2A$2B26.2A27.2B$2A26.2B27.2A$28.2B5.2A$28.2B5.2B$28.2A$14.A3BA41.
2A3.2A$3.A10.A3BA7.A33.2B3.2B$60.2A$8.AB10.A3BA7.2A$8.AB10.A3BA7.2B
$32.2A2$57.2B$57.2A$35.2A$35.2B$35.2A$60.B4.2A$38.ABA10.BA5.A.2B3.2B
$33.B4.ABA10.BA4.AB3A$32.B2A23.A$33.BAB8.ABA9.2BA$32.A.B9.ABA10.BA$
62.2A$62.2B$62.2A4$65.2A$65.2B$65.2A3$71.AB10.A3BA$66.B4.AB10.A3BA$
62.2B2.BA$62.2A13.A3BA7.A$77.A3BA$91.2A$91.2B$91.2B$63.2A26.2B$63.2B
26.2A2$88.2A$88.2B$88.2B$66.2A20.2B$66.2B20.2A$66.2B$66.2B$66.2A2$63.
2A26.2B$63.2B26.2A$63.2B$63.2B$63.2A$74.A3BA$66.A7.A3BA10.A2$68.A3B
A10.BA$68.A3BA10.BA!

Brian Prentice

bprentice · Post by **bprentice** » July 4th, 2014, 6:22 pm

Here are six related puffers:

Code: Select all

x = 27, y = 9, rule = B23478S03567F025678K1345678L028
BA$2.A$4BA$4BA$2.A2$4.A11.A2B4.B.BA$4.A.B9.A.B5.3A$4.A11.A2B4.B.BA!

Code: Select all

x = 41, y = 15, rule = B23478S03567F025678K1345678L028
13.BA$15.A$4.2A7.4BA$4.2B7.4BA$6.A8.A$7.A$.B6.AB8.A11.A2B4.B.BA$A.B
7.2A6.A.B9.A.B5.3A$.B6.AB8.A11.A2B4.B.BA$7.A$6.A8.A$4.2B7.4BA$4.2A7.
4BA$15.A$13.BA!

Code: Select all

x = 44, y = 15, rule = B23478S03567F025678K1345678L028
15.BA$17.A$15.4BA$5.A.B7.4BA$4.AB11.A$5.A5.B.ABA$A3.AB.B2.B.ABA6.A11.
A2B4.B.BA$ABA3.2A5.2A6.A.B9.A.B5.3A$A3.AB.B2.B.ABA6.A11.A2B4.B.BA$5.
A5.B.ABA$4.AB11.A$5.A.B7.4BA$15.4BA$17.A$15.BA!

Code: Select all

x = 33, y = 15, rule = B23478S03567F025678K1345678L028
3.BA$5.A$3.4BA$3.4BA$5.A$.B.BA$10.A11.A2B4.B.BA$B2A7.A.B9.A.B5.3A$10.
A11.A2B4.B.BA$.B.BA$5.A$3.4BA$3.4BA$5.A$3.BA!

Code: Select all

x = 38, y = 15, rule = B23478S03567F025678K1345678L028
6.BA$8.A$6.4BA$6.4BA$8.A$AB.B.BABA$5.2BA7.A11.A2B4.B.BA$2.A3.2A7.A.
B9.A.B5.3A$5.2BA7.A11.A2B4.B.BA$AB.B.BABA$8.A$6.4BA$6.4BA$8.A$6.BA!

Code: Select all

x = 52, y = 25, rule = B23478S03567F025678K1345678L028
3A$B$A.B$.2A.A$3.A.BA$2.A2.BA11.BA$2.A17.A$3.A5.2A7.4BA$8.A2B7.4BA$
8.B11.A$8.A2B6.A$6.B5.A4.2AB9.A11.A2B4.B.BA$7.B3.3A3.A.B9.A.B9.A.B5.
3A$6.B5.A4.2AB9.A11.A2B4.B.BA$8.A2B6.A$8.B11.A$8.A2B7.4BA$3.A5.2A7.
4BA$2.A17.A$2.A2.BA11.BA$3.A.BA$.2A.A$A.B$B$3A!

Brian Prentice

c0b0p0 · Post by **c0b0p0** » July 5th, 2014, 10:19 pm

bprentice wrote: Unfortunately, no gun or replicator has yet been found in this rule so here is a diagonal ship:

Code: Select all

x = 63, y = 70, rule = B2SF01K12345678L12345678
51.A.A$50.A3.A2$48.B.A3.A$47.2A2.A.A$49.A$46.A10.A2$56.A2$57.A$58.A
.A8$50.2A$52.A$49.A13$53.2A$55.A$52.A11$45.A$47.A$48.A7.2A$58.A$48.
A6.A2$40.A$48.B$6.A34.A$4.A37.A.A$3.BA43.B2.B$5.A15.A$.A.A15.A$A3.A
14.A31.B2.B$20.A15.A$A3.A29.A$.A.A30.A19.B2.B$35.A15.A7.2A$8.A40.A11.
A$6.A3.A38.A8.A$11.A38.A$59.A$11.A48.A.A!

Here is a very simple gun with only 12 cells.

Code: Select all

x = 9, y = 6, rule = B2SF2K1
3.B.B.2B2$B7.A$B7.A2$3.B.B.2B!

Here are more guns, using the same idea.

Code: Select all

x = 41, y = 38, rule = B2SF2K1
3.B.B.2B2$B7.A$B7.A2$3.B.B.2B3$3.B.B.B.B.B.B.2B2$B7.A$B7.A2$3.B.B.B.B
.B.B.2B3$3.B.B.B.B.B.B.B.B.B.B.2B2$B7.A$B7.A2$3.B.B.B.B.B.B.B.B.B.B.
2B3$3.B.B.B.B.B.B.B.B.B.B.B.B.B.B.2B2$B7.A$B7.A2$3.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.2B3$3.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.2B2$B7.A$B7.A2$3.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.2B!

bprentice · Post by **bprentice** » July 6th, 2014, 1:32 am

Here is a rule that at first appears to have only still life objects and a few small oscillators:

Code: Select all

@RULE B0356S2346F1458K13567L1235678

@TREE

num_states=3
num_neighbors=8
num_nodes=121
1 0 2 2
1 0 2 0
1 1 0 2
2 0 1 2
1 0 1 0
1 0 0 0
2 1 4 5
2 2 5 0
3 3 6 7
2 4 4 5
2 5 5 1
3 6 9 10
1 0 0 2
2 0 1 12
3 7 10 13
4 8 11 14
1 0 1 2
1 1 0 0
2 4 16 17
2 5 17 4
3 9 18 19
3 10 19 6
4 11 20 21
1 1 2 2
2 12 5 23
3 13 6 24
4 14 21 25
5 15 22 26
2 16 1 12
2 17 12 4
3 18 28 29
3 19 29 9
4 20 30 31
4 21 31 11
5 22 32 33
2 23 1 2
3 24 10 35
4 25 11 36
5 26 33 37
6 27 34 38
2 1 4 17
2 12 17 16
3 28 40 41
2 4 16 5
3 29 41 43
4 30 42 44
2 5 5 4
3 9 43 46
4 31 44 47
5 32 45 48
3 10 46 6
4 11 47 50
5 33 48 51
6 34 49 52
2 2 5 12
3 35 6 54
4 36 50 55
5 37 51 56
6 38 52 57
7 39 53 58
2 4 1 17
2 17 17 1
3 40 60 61
3 41 61 28
4 42 62 63
1 1 1 0
2 5 12 65
3 43 28 66
4 44 63 67
5 45 64 68
2 4 65 5
3 46 66 70
4 47 67 71
5 48 68 72
6 49 69 73
2 5 5 5
3 6 70 75
4 50 71 76
5 51 72 77
6 52 73 78
7 53 74 79
2 12 5 12
3 54 75 81
4 55 76 82
5 56 77 83
6 57 78 84
7 58 79 85
8 59 80 86
2 1 1 5
2 17 5 4
3 60 88 89
3 61 89 6
4 62 90 91
2 12 5 16
3 28 6 93
4 63 91 94
5 64 92 95
2 65 16 17
3 66 93 97
4 67 94 98
5 68 95 99
6 69 96 100
2 5 17 5
3 70 97 102
4 71 98 103
5 72 99 104
6 73 100 105
7 74 101 106
3 75 102 75
4 76 103 108
5 77 104 109
6 78 105 110
7 79 106 111
8 80 107 112
3 81 75 24
4 82 108 114
5 83 109 115
6 84 110 116
7 85 111 117
8 86 112 118
9 87 113 119

On closer inspection a few orthogonal puffers like this one:

Code: Select all

x = 2, y = 11, rule = B0356S2346F1458K13567L1235678
2A$.A$.A6$.A$.A$2A!

and many diagonal puffers like this one:

Code: Select all

x = 18, y = 18, rule = B0356S2346F1458K13567L1235678
14.3A$11.3A$11.ABA.B$12.2A$9.2A.2A$9.A$9.A$9.A2.A.2A$9.A3.A2.A$4.5A
5.A$4.A7.3A$.2A12.3A$.AB2A2.A2.A$.4A3.A.A$A6.A.2A$A.B4.A3.A$A7.A2.A
$11.A!

can be found. There are even diagonal ships. Here are four examples:

Code: Select all

x = 18, y = 18, rule = B0356S2346F1458K13567L1235678
3.BAB4.2A3.2A$4.A4.2AB$3.ABA9.B$3.3A2.A$7.B$10.A.A$8.A2.A.A$2.B.B7.
A.2A$6.A6.A2.A$2.2A10.A$2A3.A6.3A$AB4.A8.3A$5.A.A2.A$6.A.A.A$7.A.2A
$A.B4.A3.A$A7.A2.A$11.A!

Code: Select all

x = 14, y = 12, rule = B0356S2346F1458K13567L1235678
6.2A3.2A$6.AB$3.B.A5.B$5.A2$3.B2.A.A$7.A.A$2A6.A.2A$.B7.A2.A$.B8.A$
2A6.3A$11.3A!

Code: Select all

x = 55, y = 70, rule = B0356S2346F1458K13567L1235678
7.A2.A$7.A2BA2$5.B2$.A$2A3.A$AB4.A$5.A.A2.A$6.A.A.A$7.A.2A$A.B4.A3.
A$A7.A2.A$11.A6$24.A2.A$24.A2BA2$22.B2$18.A$11.2A4.2A3.A$10.2A5.AB4.
A$22.A.A2.A$23.A.A.A$24.A.2A$17.AB5.A3.A$17.2A.2A3.A2.A$20.2A6.A$21.
A8$27.2A$26.2A8$36.A3.A$33.2A.A.B.A$32.3A.A3.4A$41.ABA$41.3A$41.3A2$
43.A$40.A2.3A$40.A8.A$40.A4.2A2.A$44.A.2A.A$51.3A$46.B2.B$46.A3.A$41.
2A6.A.2A$42.B7.A2.A$42.B8.A$41.2A6.3A$52.3A!

Code: Select all

x = 49, y = 68, rule = B0356S2346F1458K13567L1235678
2.B$.B$6.BAB$2.B.A$B2.A.A$4.A.2A$ABA2.A2.B$.A4.A$BAB.B2A$7.2AB4$2.A
$.3A$.A2$6.A$6.2A$6.A10$18.A$17.3A$17.A2$22.A$22.2A$22.A6$27.A.2A$27.
A2.2A$27.A.2A2$34.A$33.3A$33.A2$38.A$38.2A$24.A2.A10.A$24.A2BA$29.B
12.A$37.A3.3A$37.B$24.A2BA10.AB$24.A2.A$47.B$39.A.3AB2.A$40.2A5.B2$
41.B2.B2.B$41.A3.A.A$41.A2.A.2A$41.A2.A3.A$41.B3.B2.A$48.B!

Brian Prentice

simsim314 · Post by **simsim314** » July 6th, 2014, 4:16 am

Here is quadratic:

Code: Select all

x = 60, y = 63, rule = B0356S2346F1458K13567L1235678
59.B$52.B3.B2.A$52.A2.A3.A$52.B2.A.2A$54.A.A.A$48.2A.B3.A2.B$49.A.A2.
B$47.A3.2A3.A.B$47.A6.2AB2A$47.3A3.B3A.B2$53.A$52.2A$32.A$32.A2.A7.2A
4.A$32.A.2A7.A3.B$38.A$35.A.2A2.B.A$34.2A.A$43.A15.B$36.2A.2A11.B3.B
2.A$36.A2.AB7.A3.A2.A3.A$38.2A12.B2.A.2A$37.B2.ABA11.A.A.A$47.3A.B3.A
2.B$21.2A8.2A8.2B6.A.A2.B$21.A10.2A13.A3.2A3.A.B$20.2A25.A6.2AB2A$47.
3A3.B3A.B$17.3A6.A$17.ABA6.4A23.A$6.BA9.3A7.A.A22.2A$24.3A5.A$6.ABA3.
A.B3.B6.2A5.A2.A7.2A4.A$3.A28.A.2A7.A3.B$3.A2B.B6.B9.2A12.A$3.A2.A2.A
4.B10.A9.A.2A2.B.A$6.B3.A4.A9.A8.2A.A$2A.B6.B4.3A8.2A15.A$A.A2.B10.B.
A8.A8.2A.2A$.A.B7.A2.B2.BA17.A2.AB7.A$.2A7.2A2.B.3A19.2A$13.3A6.A14.B
2.ABA$21.2A24.3A$21.2A8.2A8.2B$21.A10.2A$20.2A2$17.3A6.A$17.ABA6.4A$
6.BA9.3A7.A.A$24.3A$6.ABA3.A.B3.B6.2A$3.A$3.A2B.B6.B9.2A$3.A2.A2.A4.B
10.A$6.B3.A4.A9.A$2A.B6.B4.3A8.2A$A.A2.B10.B.A8.A$.A.B7.A2.B2.BA$.2A
7.2A2.B.3A$13.3A6.A$21.2A!

EDIT
6 cells quadratic fits in 10x7:

Code: Select all

x = 10, y = 7, rule = B0356S2346F1458K13567L1235678
7.A$9.B$8.A2$.B$A$2.A!

bprentice · Post by **bprentice** » July 6th, 2014, 9:05 pm

Here is a rule that has small orthogonal and diagonal ships and puffers and guns for each:

Code: Select all

@RULE B146S246F124578K057L01235

@TREE

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

and here are a few example patterns that illustrate its behavior:

Code: Select all

x = 64, y = 67, rule = B146S246F124578K057L01235
.B$.B$2A2$.A2B$2.B$.2BA2$5.A2B$6.B$5.2BA2$9.A2B$10.B$9.2BA2$.B11.A2B
$.B12.B$2A11.2BA2$.A2B13.A2B$2.B15.B$.2BA13.2BA2$5.A2B13.A2B$6.B15.
B$5.2BA13.2BA2$9.A2B13.A2B$10.B15.B$9.2BA13.2BA2$.B11.A2B13.A2B$.B12.
B15.B$2A11.2BA13.2BA2$.A2B13.A2B13.A2B$2.B15.B15.B$.2BA13.2BA13.2BA
2$5.A2B13.A2B13.A2B$6.B15.B15.B$5.2BA13.2BA13.2BA2$9.A2B13.A2B13.A2B
$10.B15.B15.B$9.2BA13.2BA13.2BA2$13.A2B13.A2B13.A2B$14.B15.B15.B$13.
2BA13.2BA13.2BA2$49.A2B$50.B$49.2BA2$53.A2B$54.B$53.2BA2$57.A2B$58.
B$57.2BA2$61.A2B$62.B$61.2BA!

Code: Select all

x = 71, y = 74, rule = B146S246F124578K057L01235
B7.B$B7.B$2A5.2A2$2A$B$B4$14.A2B$15.BA$14.2B.2B$16.ABA$16.2B.2B$18.
ABA$18.2B.2B$20.AB$20.2BA2$16.2A$16.B$16.B14$32.2A$32.B$32.B10$32.B
15.B7.B$32.B15.B7.B$32.2A14.2A5.2A$29.2BA11.2BA$31.A13.A6$31.A13.A16.
A2B$29.2BA11.2BA17.BA$62.2B.2B$64.ABA$64.2B.2B$66.ABA$66.2B.2B$39.A
.B11.A.B12.AB$39.3B11.3B12.2BA$39.BA.AB9.BA.AB$41.3B11.3B$41.BA.AB9.
BA.AB$43.3B11.3B$43.BA.AB9.BA.AB$45.3B11.3B$45.B.A11.B.A!

Code: Select all

x = 41, y = 32, rule = B146S246F124578K057L01235
12.B.A11.A.B$12.3B11.3B$12.A.B11.B.A2$8.B.A19.A.B$8.3B19.3B$8.A.B19.
B.A2$4.B.A27.A.B$4.3B27.3B$4.A.B27.B.A2$B.A35.A.B$3B35.3B$A.B35.B.A
3$A.B35.B.A$3B35.3B$B.A35.A.B2$4.A.B27.B.A$4.3B27.3B$4.B.A27.A.B2$8.
A.B19.B.A$8.3B19.3B$8.B.A19.A.B2$12.A.B11.B.A$12.3B11.3B$12.B.A11.A
.B!

Code: Select all

x = 93, y = 25, rule = B146S246F124578K057L01235
64.B.A23.A.B$64.3B23.3B$64.A.B23.B.A3$B.A23.A.B$3B23.3B$A.B23.B.A$48.
B.A$48.A$48.A$48.B.A2$42.A.B$44.A$44.A$42.A.B$64.A.B23.B.A$64.3B23.
3B$64.B.A23.A.B3$A.B23.B.A$3B23.3B$B.A23.A.B!

Code: Select all

x = 7, y = 45, rule = B146S246F124578K057L01235
4.A$6.A$5.B$5.B$6.A$4.A7$2.A$4.A$3.B2.A$5.B$5.B$3.B2.A$4.A$2.A7$2.A
.A$3.B2.A$2.A2.B$2.A2.B$3.B2.A$2.A.A8$2.A.A$2A.B2.A$5.B$5.B$2A.B2.A
$2.A.A!

Here is variation of the above rule, only the S parameter has been changed:

Code: Select all

@RULE B146S234568F124578K057L01235

@TREE

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

With this variation many small diagonal guns and oscillators can be constructed. Here are some examples:

Code: Select all

x = 74, y = 17, rule = B146S234568F124578K057L01235
3A.3A48.3A.3A$ABA.ABA48.ABA.ABA$3A.3A48.3A.3A$9.3A52.3A$9.ABA4.3A45.
ABA$9.3A4.ABA45.3A4.3A$7.A8.3A43.A8.ABA$.3A3.B.B46.3A3.B.B6.3A$.ABA
5.A46.ABA5.A$.3A52.3A$6.3A52.3A$6.ABA52.ABA$6.5A50.5A$8.ABA52.ABA$8.
3A4.3A45.3A4.3A$15.ABA52.ABA$15.3A52.3A!

Code: Select all

x = 74, y = 15, rule = B146S234568F124578K057L01235
3A.3A48.3A.3A$ABA.ABA48.ABA.ABA$3A.3A48.3A.3A$9.3A52.3A$9.ABA4.3A45.A
BA$9.3A4.ABA45.3A4.3A$7.A8.3A43.A8.ABA$.3A3.B.B46.3A3.B.B6.3A$.ABA5.A
46.ABA5.A$.3A52.3A$6.3A52.3A$6.ABA52.ABA$6.5A50.5A$8.ABA52.ABA$8.3A
52.3A!

Code: Select all

x = 65, y = 20, rule = B146S234568F124578K057L01235
14.3A$14.ABA$14.3A3$6.3A44.3A$6.ABA44.ABA$6.3A44.3A3$7.2A45.2A$8.B6.
3A37.B6.3A$5.2A.B2.3A.ABA34.2A.B2.3A.ABA$11.ABA.3A40.ABA.3A$11.3A44.
3A3$3A44.3A$ABA44.ABA$3A44.3A!

Code: Select all

x = 74, y = 17, rule = B146S234568F124578K057L01235
3A$ABA$3A63.3A$12.3A51.ABA$12.ABA51.3A$12.3A2$67.2A$5.3A2.A2B55.B$5.
ABA2.A54.2A.B2.3A$5.3A4.A58.ABA$12.A58.3A3$17.3A40.3A$17.ABA40.ABA$
17.3A40.3A!

Code: Select all

x = 60, y = 41, rule = B146S234568F124578K057L01235
3A24.3A$ABA24.ABA$3A24.3A2$A.B24.A.B$3B24.3B$B.A3.3A18.B.A$6.ABA$6.
3A30$57.3A$57.ABA$57.3A!

Brian Prentice

c0b0p0 · Post by **c0b0p0** » July 8th, 2014, 4:23 pm

bprentice wrote:Here is a rule that at first appears to have only still life objects and a few small oscillators:

Here is another 8-cell infinite growth with no destructive cells (which hardly seem to be worthy of the name) this time fitting in a smaller bounding box.
x = 4, y = 5, rule = B0356S2346F1458K13567L1235678
3A$3.A$3.A$.A$2.2A!

In B2SF2K1, here is a very versatile glider thinner. Unfortunately, the output glider is so close to the glider stream that it cannot be used to make a high-period gun.

Code: Select all

x = 58, y = 17, rule = B2SF2K1
56.A$55.BAB$56.A2$52.B$51.2A$52.BAB$53.A4$A7.A7.A7.A7.A$2.A7.A7.A7.A
7.A$2.A7.A7.A7.A7.A$A7.A7.A7.A7.A19.2B$52.B$41.9B!

bprentice · Post by **bprentice** » July 8th, 2014, 9:21 pm

The following member of the BSFKL rule family:

Code: Select all

@RULE B0178S456F12348K02478L017

@TREE

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

has orthogonal ships of c/2 and 2c/8 and a diagonal ship of 3c/54. Here are guns for each of them:

Code: Select all

x = 4, y = 18, rule = B0178S456F12348K02478L017
.2B$4A14$3.B$.2B$4A!

Code: Select all

x = 20, y = 82, rule = B0178S456F12348K02478L017
6.3A$6.A.A$7.B$7.B$6.A.A$.2A2.4A$.A.2B.A$.2A2.2A2$12.2A2.2A$12.A.2B
.A$10.4A2.2A$10.A.A$11.B$11.B$10.A.A$10.3A9$B2AB$.2B$B2AB2$B2AB$.2B
$B2AB2$B2AB$.2B$B2AB2$B2AB$.2B$B2AB4$2.2A2.2A$2.A.2B.A$2.2A2.2A2$2.
2A2.2A$2.A.2B.A$2.2A2.2A2$2.2A2.2A$2.A.2B.A$2.2A2.2A2$2.2A2.2A$2.A.
2B.A$2.2A2.2A10$14.B$9.2A3.A$10.A3.A$14.B$6.A$6.2A8.B2AB4$5.B2AB8.2A
$18.A$10.B$10.A3.A$10.A3.2A$10.B!

Code: Select all

x = 20, y = 83, rule = B0178S456F12348K02478L017
11.3A$11.A.A$12.B$12.B$11.A.A$11.4A2.2A$13.A.2B.A$13.2A2.2A2$2.2A2.
2A$2.A.2B.A$2.2A2.4A$7.A.A$8.B$8.B$7.A.A$7.3A9$16.B2AB$17.2B$16.B2A
B2$16.B2AB$17.2B$16.B2AB2$16.B2AB$17.2B$16.B2AB2$16.B2AB$17.2B$16.B
2AB5$12.2A2.2A$12.A.2B.A$12.2A2.2A2$12.2A2.2A$12.A.2B.A$12.2A2.2A2$
12.2A2.2A$12.A.2B.A$12.2A2.2A2$12.2A2.2A$12.A.2B.A$12.2A2.2A10$5.B$
5.A3.2A$5.A3.A$5.B$13.A$B2AB8.2A4$.2A8.B2AB$.A$9.B$5.A3.A$4.2A3.A$9.
B!

Code: Select all

x = 84, y = 80, rule = B0178S456F12348K02478L017
23.B.B.B.B$11.3A9.ABA.ABA12.3A$11.A.A9.ABA.ABA12.A.B12.3A.3A$12.B10.
B.B.B.B27.A.A.A.A$12.B45.B3.B$11.A.A29.B14.B3.B11.B$11.4A2.2A22.B3.
A11.A.A.A.A10.A3.2A$13.A.2B.A22.A3.A11.3A.3A10.A3.A$13.2A2.2A22.5A28.
B$82.A$2.2A2.2A61.B2AB8.2A$2.A.2B.A$2.2A2.4A$7.A.A33.B$8.B32.B3.A24.
2A8.B2AB$8.B32.A3.A24.A$7.A.A31.5A32.B$7.3A64.A3.A$73.2A3.A$78.B2$43.
B$41.B3.A$41.A3.A$41.5A2$65.B$66.A$64.3A12$43.B2A$45.A$44.2A14$43.B
2A$45.A$44.2A2$27.B.B5.B.B$7.3A.3A13.ABA5.ABA$7.A.A.A.A13.ABA5.ABA8.
3A5.3A$8.B3.B14.B.B5.B.B8.A.A5.A.A$8.B6.2A30.B7.B$7.A.A4.B.A30.B7.B
15.B3.B$7.3A5.2A29.A.A5.A.A14.A3.A$46.3A5.3A14.A3.A$2A2.2A5.2A2.2A51.
B3A3.B$A.2B.A5.A.2B.A$2A2.2A5.2A2.2A2$2A5.3A58.B2AB7.B2AB$A.B4.A.A$
2A6.B$4.B3.B$3.A.A.A.A65.B3.3AB$3.3A.3A65.A3.A$75.A3.A$75.B3.B!

Code: Select all

x = 85, y = 80, rule = B0178S456F12348K02478L017
33.B3.B$5.9A19.A3.A$5.A7.A19.A3.A13.5A$3.2A2.B2.3B20.B3.B13.A3.A$3.
A3.AB.3B39.3B$3.A.BA6.A38.3B21.B.B.B.B$3.A2.B2.5A37.A3.A20.ABA.ABA$
3.A4.A5.2A2.2A31.5A20.ABA.4AB$3.A.2B.A5.A.2B.A56.B.B3.AB$3.A.2B.A5.
A.2B.A23.B.B36.2AB$3.A.2B.A5.A.2B.A24.BA$3.2A2.2A5.A4.A23.3A24.B2AB
7.B2AB$9.5A2.B2.A51.2B9.2B$9.A6.AB.A50.B2AB7.B2AB$10.3B.BA3.A$10.3B
2.B2.2A50.B2A$9.A7.A53.BA3.B.B$9.9A25.B.B24.B4A.ABA$44.BA26.ABA.ABA
$43.3A26.B.B.B.B9$42.A$42.A.B$42.2A3$43.B2A$45.A$44.2A14$43.B2A$45.
A$44.2A8$44.B$20.B7.B7.B2.A.A.A.A$8.5A7.A3.A3.A7.A2B.A.B3A$8.A3.A7.
A3.A3.A7.A.2B.BA.A10.9A$9.3B8.B7.B7.B2.B5A10.A7.A$9.3B26.B2A15.3B.3B
$8.A6.2A39.3B.3B9.B.B$8.4A.2B.A38.A7.A8.ABA$11.A.2B.A38.9A8.ABA$11.
A.2B.A55.B.B$2A2.2A5.2A2.2A51.B2AB$A.2B.A63.2B$A.2B.A62.B2AB$A.2B.4A
$2A6.A70.B2AB$5.3B72.2B$5.3B71.B2AB$4.A3.A67.B.B$4.5A67.ABA$76.ABA$
76.B.B!

Code: Select all

x = 420, y = 388, rule = B0178S456F12348K02478L017
410.5A$410.A3.A$411.3B$411.3B$3.B3.B402.A6.2A$3.A3.A402.4A.2B.A$3.A3.
A405.A.2B.A$B3A3.B405.A.2B.A$402.2A2.2A5.2A2.2A$402.A.2B.A$402.A.2B.A
$B2AB7.B2AB387.A.2B.4A$402.2A6.A$407.3B$222.B7.B23.B7.B23.B7.B23.B7.B
80.3B$7.B3.3AB207.A3.A3.A23.A3.A3.A23.A3.A3.A23.A3.A3.A79.A3.A$7.A3.A
78.3A5.3A21.3A5.3A21.3A5.3A21.3A5.3A25.A3.A3.A23.A3.A3.A23.A3.A3.A23.
A3.A3.A79.5A$7.A3.A78.A.A5.A.A21.A.A5.A.A21.A.A5.A.A21.A.A5.A.A25.B7.
B23.B7.B23.B7.B23.B7.B$7.B3.B79.B7.B23.B7.B23.B7.B23.B7.B$91.B7.B23.B
7.B23.B7.B23.B7.B$90.A.A5.A.A21.A.A5.A.A21.A.A5.A.A21.A.A5.A.A$90.3A
5.3A21.3A5.3A21.3A5.3A21.3A5.3A105$209.A$209.A.B$209.2A126$209.A$209.
A.B$209.2A2$207.3B$208.B.A$206.A.A.A$206.5A61$207.3B$208.B.A$206.A.A.
A$206.5A41$411.5A$411.A3.A$412.3B$412.3B$5.B3.B401.A6.2A$5.A3.A401.4A
.2B.A$5.A3.A404.A.2B.A$2.B3A3.B404.A.2B.A$403.2A2.2A5.2A2.2A$403.A.2B
.A$403.A.2B.A$2.B2AB7.B2AB386.A.2B.4A$403.2A6.A$408.3B$223.B7.B23.B7.
B23.B7.B23.B7.B80.3B$9.B3.3AB206.A3.A3.A23.A3.A3.A23.A3.A3.A23.A3.A3.
A79.A3.A$9.A3.A78.3A5.3A21.3A5.3A21.3A5.3A21.3A5.3A24.A3.A3.A23.A3.A
3.A23.A3.A3.A23.A3.A3.A79.5A$9.A3.A78.A.A5.A.A21.A.A5.A.A21.A.A5.A.A
21.A.A5.A.A24.B7.B23.B7.B23.B7.B23.B7.B$9.B3.B79.B7.B23.B7.B23.B7.B
23.B7.B$93.B7.B23.B7.B23.B7.B23.B7.B$92.A.A5.A.A21.A.A5.A.A21.A.A5.A.
A21.A.A5.A.A$92.3A5.3A21.3A5.3A21.3A5.3A21.3A5.3A!

Brian Prentice

c0b0p0 · Post by **c0b0p0** » July 9th, 2014, 10:42 pm

This rule is abundant in tagalongs, many of which produce spaceships. Here is a rake producing the 3c/54 ship.

Code: Select all

x = 10, y = 10, rule = B0178S456F12348K02478L017
7.3A$7.A.A$9.B2$2.B.B$3.3BA$2.3A.A$.2A.3A$B.A$.2A!

From B2SF2K1, here is a synthesis of the diagonal puffer. It seems to be one of the easiest ones to produce, requiring only two dot puffers (very common) and a rake.

Code: Select all

x = 5, y = 19, rule = B2SF2K1
.B2.B$.A2.A$2.2B$2.2A13$3.B2$B!

c0b0p0 · Post by **c0b0p0** » July 10th, 2014, 10:26 pm

c0b0p0 wrote: From B2SF2K1, here is a synthesis of the diagonal puffer. It seems to be one of the easiest ones to produce, requiring only two dot puffers (very common) and a rake.

Here is clean quadratic growth, using a different puffer that is easier to produce.

Code: Select all

[M2] (golly 2.5)
#R B2SF2K1
1 0 0 0 1
1 0 0 1 0
2 1 2 2 1
2 0 2 0 0
2 0 0 1 0
3 3 0 4 5
1 0 1 0 0
1 0 1 0 1
2 7 0 8 0
2 7 0 0 7
1 1 0 0 0
2 0 0 0 11
3 9 10 12 4
2 0 0 2 0
2 2 0 0 0
3 14 0 15 0
4 6 0 13 16
5 0 0 17 0
6 0 0 0 18
7 0 0 0 19
2 0 0 1 7
2 11 0 0 7
3 0 21 0 22
4 0 23 0 0
5 0 24 0 0
2 0 11 0 0
1 1 0 1 0
2 0 0 27 0
3 26 0 28 0
2 11 0 0 0
3 30 0 0 0
4 29 0 31 0
5 32 0 0 0
6 25 33 0 0
7 0 34 0 0
8 20 0 35 0

c0b0p0 · Post by **c0b0p0** » August 13th, 2014, 6:55 pm

Here is a near miss towards the goal of a diagonal ship gun.

Code: Select all

x = 18, y = 20, rule = B2SF2K1
8.B2$17.B$14.A2$16.A$11.A2$2.B8.A.A3$4.A.A8.B2$6.A$.A2$3.A$B2$9.B!

c0b0p0 · Post by **c0b0p0** » August 14th, 2014, 10:23 pm

wildmyron wrote:A variation of the first pattern which isn't explosive, but creates many high period oscillators:
Code: Select all
x = 12, y = 12, rule = B2SF2K1
8.BA$9.ABA$9.ABA$8.ABA$7.ABA$6.ABA$5.ABA$4.ABA$B2.ABA$3ABA$.2BA$.2A!

Here is a smaller pattern that does the same thing. For the first 196,698 generations it only makes oscillators along a line, but at that generation the pattern starts leaving many high-period oscillators that are not along that line.

Code: Select all

x = 2, y = 2, rule = B2SF2K1
2A$BA!

bprentice · Post by **bprentice** » August 22nd, 2014, 4:55 pm

The exploration of the BSFKL rule family has continued quietly. There are now 67 rules in the rule collection which are included in the updated achieve BSFKL.zip here:

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

The Golly rule trees and example patterns for the most recent rules (Rule 059 thru Rule 067) are included in this archive:

Golly BSFKL.zip: (192.45 KiB) Downloaded 319 times

To convert other rules and patterns to run on Golly use this procedure:

viewtopic.php?f=11&t=1381&start=25#p12298

The last two rules are of particular interest. Here is the rule tree for Rule 066:

Code: Select all

@RULE B1S345678F1234578K245678L0123

@TREE

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

This rule supports small diagonal ships and still life blocks from which many guns can be constructed. The following example patterns provide an introduction to the rule's behavior:

Code: Select all

x = 51, y = 28, rule = B1S345678F1234578K245678L0123
23.2A24.2A$23.2A24.2A2$22.2A24.2A$23.B25.B$20.2A.B22.2A.B$21.B25.B$
21.B25.B2$48.2A$48.2A$41.2A$41.2A10$9.2A$9.2A3$2A$2A!

Code: Select all

x = 49, y = 38, rule = B1S345678F1234578K245678L0123
14.2A$14.2A3$17.A$15.2BA3$8.2BA$10.A$.2A$.2A$3.3BA$6.A$2A$2A.A2.A$4.
2A23.A$4.2A21.2BA12$42.A$40.2BA6$47.2A$47.2A!

Code: Select all

x = 29, y = 26, rule = B1S345678F1234578K245678L0123
5.B.B3.B.B$5.A.A3.A.A8.2A$5.A.A3.A.A8.2A$5.B.B3.B.B2$B2AB2$B2AB4$B2A
B2$B2AB9$.2A$.2A$27.2A$27.2A!

Code: Select all

x = 21, y = 4, rule = B1S345678F1234578K245678L0123
9.A.A3.A.A$2A8.B5.B2.2A$2A8.B5.B2.2A$9.A.A3.A.A!

Code: Select all

x = 119, y = 64, rule = B1S345678F1234578K245678L0123
25.2A11.2A16.2A3.2A16.2A11.2A$25.2A11.2A16.2A3.2A16.2A11.2A14$77.2A
$13.A64.B$13.A2B62.B$11.A$11.A2B32.A24.A2B$44.2BA24.A2$47.2A27.B34.
A$47.B28.B32.2BA$47.B27.2A36.A$111.2BA3$64.2A$65.B$55.A.A7.B$2A33.2A
12.2A5.B11.2A12.2A33.2A$2A33.2A12.2A5.B11.2A12.2A33.2A$55.A.A7.B$65.
B$64.2A3$111.2BA$47.B27.2A36.A$47.B28.B32.2BA$47.2A27.B34.A2$44.2BA
24.A$11.A2B32.A24.A2B$11.A$13.A2B62.B$13.A64.B$77.2A14$25.2A11.2A16.
2A3.2A16.2A11.2A$25.2A11.2A16.2A3.2A16.2A11.2A!

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

This rule has a 6c/18 ship and a c/2 ship together with several small still lifes. Surprisingly, with these few objects many guns can be constructed. So far, no puffers or any more ships have been found.

Here are some example patterns which illustrate the rule:

Code: Select all

x = 31, y = 67, rule = B1S345678F2378K468L03568
B2.B$.2A$.2A$B2.B$B2.B$.2A$.2A$B2.B$B2.B$.2A$.2A$B2.B$B2.B$.2A$.2A$
B2.B$B2.B$.2A24.B2.B$.2A25.2A$B2.B24.2A$B2.B23.B2.B$.2A$.2A$B2.2B$B
2.2BA$.2A$.2A$B2.B$B2.B$.2A$.2A2.2B$B2.B.BA$B2.A$.2A$.2A22.4B$B2.B21.
A2BA$B2.B$.2A.2B$.2A.4B$B2.B2.2B$B2.B2.2B$.2A$.2A$B2.B$B2.B$.2A$.2A
.2B$B2.2BA9$24.A$23.3B$23.2BA5$24.B2.B$25.2A$25.2A$24.B2.B!

Code: Select all

x = 151, y = 70, rule = B1S345678F2378K468L03568
B2.B$.2A$.2A$B2.B107.B2.B$B2.B108.2A$.2A109.2A$.2A108.B2.B$B2.B107.
B2.B$B2.B108.2A$.2A109.2A$.2A108.B2.B$B2.B107.B2.B$B2.B108.2A$.2A109.
2A$.2A108.B2.B$B2.B107.B2.B$B2.B108.2A$.2A24.B2.B81.2A$.2A11.2B12.2A
81.B2.2A$B2.B10.2B12.2A81.B2.3B$B2.B12.2BA8.B2.B81.2A.2B21.B2.B$.2A
11.AB.B94.2A3.2B20.2A$.2A.BA9.B95.B2.B2.2BA19.2A$B3.2B105.B2.B2.2BA
18.B2.B$B2.2B107.2A3.2B$.2A.A107.2A.2A$.2A108.B2.3B$B2.BA106.B2.2BA
$B2.2B107.2A$.2A.2B106.2A$.2A.3B104.B2.BA$B2.B.2B104.B3.B$B2.B108.2A
.B$.2A109.2A.2B$.2A2.2A104.B2.B2A$B2.B.2B104.B2.B4.2B13.A.2B$B2.B.3B
104.2A5.2B12.2B.2B$.2A3.2B104.2A21.B$.2A108.B2.B19.2B$B2.B107.B2.B20.
A$B2.B108.2A$.2A109.2A$.2A108.B$B2.B107.B2.B2A$B2.B108.2A.3B$.2A109.
2A2.BA$.2A108.B2.2BA$B2.3B105.B2.2B$3.3B106.2A$112.2A$111.B2.B9$5.B
2.B$6.2A$6.2A53.2B$5.B2.B52.2BA9.2B$24.B2.B33.2BA2.B2.B3.2BA$25.2A34.
2B4.2A4.AB72.B2.B$25.2A40.2A79.2A$24.B2.B38.B2.B65.B2.B9.2A$136.2A9.
B2.B$136.2A$135.B2.B!

Code: Select all

x = 49, y = 105, rule = B1S345678F2378K468L03568
B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$.2A2.2A2.2A2.2A2.2A
2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A
2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$9.B3.2BA19.
2BA5.2B$7.5B.BA20.AB6.A$7.B2.2B12$6.2B2.AB$6.2B2A4B22.A4.2B$9.B2.2B
A20.2B4.3BA$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$.2A2.2A
2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A2.2A2.2A
2.2A2.2A2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.
B15$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$.2A2.2A2.2A2.2A
2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A
2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$9.B3.
2BA19.2BA5.2B$7.5B.BA20.AB6.A$7.B2.2B13$6.2B2.AB$6.2B2A4B22.A4.2B$9.
B2.2BA20.2B4.3BA$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$.
2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A2.
2A2.2A2.2A2.2A2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B
2.2B2.B15$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B$.2A2.2A2.
2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.2A2.2A2.2A2.2A2.2A2.2A2.2A2.
2A2.2A2.2A2.2A2.2A$B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.B
$9.B3.2BA19.2BA5.2B$7.5B.BA20.AB6.A$7.B2.2B13$7.2B2.AB$7.2B2A4B22.A
4.2B$10.B2.2BA20.2B4.3BA$.B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B2.2B
2.2B2.B$2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$2.2A2.2A2.
2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A$.B2.2B2.2B2.2B2.2B2.2B2.2B2.
2B2.2B2.2B2.2B2.2B2.B!

Code: Select all

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

Code: Select all

x = 85, y = 34, rule = B1S345678F2378K468L03568
29.B2.B$B2.B26.2A27.B2.B$.2A14.2B11.2A28.2A$.2A13.A2B10.B2.B27.2A$B
2.B12.A2B40.B2.B18.B2.B$17.2B63.2A$75.BA5.2A$74.A2B4.B2.B$75.2B$61.
A2B$61.3B$62.A4$2.4B$2.4B23.2A$3.2A23.4B$28.4B$78.A$77.3B$77.2BA$64.
2B$56.B2.B4.2BA$57.2A5.AB$57.2A$56.B2.B18.B2.B$79.2A$15.2B62.2A$15.
2BA12.B2.B44.B2.B$.B2.B10.2BA13.2A$2.2A11.2B14.2A$2.2A26.B2.B$.B2.B!

Code: Select all

x = 157, y = 57, rule = B1S345678F2378K468L03568
56.2A$56.2A$55.B2.B2$70.B$71.2A$71.2A$70.B2.B4$139.2A$139.2A$138.B2.
B8$55.AB5.B2.B88.B$55.2BA5.2A90.2A$63.2A90.2A$2.B46.AB5.B5.B3.A87.B
$2A47.2B4.2B5.5B$2A47.2B11.B3.B$49.AB13.A.BA$61.2B3ABA$49.AB13.A.BA
$2A47.2B11.B3.B$2A47.2B4.2B5.5B$2.B46.AB5.B5.B3.A87.B$63.2A90.2A$55.
2BA5.2A90.2A$55.AB5.B2.B88.B8$138.B2.B$139.2A$139.2A4$70.B2.B$71.2A
$71.2A$70.B2$55.B2.B$56.2A$56.2A!

Several more example patterns for each of these featured rules are contained in the archive included here.

Brian Prentice

bprentice · Post by **bprentice** » August 22nd, 2014, 7:48 pm

A beautiful new gun!

Code: Select all

x = 35, y = 8, rule = B1S345678F2378K468L03568
2.B16.2B$2A7.2B.2B5.2BA$2A7.2B.2B5.2BA$2.B5.2B.A.2B4.2B$9.B3ABA$9.B
.A.B15.2B.B$8.2B.2B16.2B.2BA$8.ABA21.2B!

Brian Prentice

bprentice · Post by **bprentice** » August 23rd, 2014, 6:23 am

Three new small guns:

Code: Select all

x = 25, y = 62, rule = B1S345678F2378K468L03568
2A$2A$3.B$2.A.B$.4A$2.A.B$4.B$2.2A$2.2A11$22.2A$2A20.2A$2A.3B15.B2.
B$3.3B$2.A.B.2B3.BA2.2B$.3A2.2BA2.2B2.2BA$2.A.A.2BA2.2B2.2BA$4.4B3.
BA2.2B$2.2A.2B$2.2A10$7.2A$4.A2.2A$2A.3A$2A2.A.B$2.B2.BA$2.4B$3.2A3$
2.4B$2.A2BA3$2.4B$2.4B$3.2A6$4.B2.B$5.2A$5.2A!

Brian Prentice

bprentice · Post by **bprentice** » August 24th, 2014, 1:06 am

Running Golly from a random fill a few times produced this puffer:

Code: Select all

x = 7, y = 10, rule = B1S345678F2378K468L03568
2.2B$2.2B$4.2BA$2.AB.B$3.B$.A$.B.A$.3B$4B$AB!

From it these puffers:

Code: Select all

x = 43, y = 34, rule = B1S345678F2378K468L03568
38.2B$38.2B.2B$20.2B16.B2A2B$9.B10.2B11.B7.BA$7.B.BA6.A2B11.B.3B$6.
A2B9.B.BA8.A2B.2B.B$9.2B9.B14.B2.BA$9.2B23.A2B2.2B$36.2B.BA$36.2B3$
22.2B.A$A2BA18.2B.2B$4B20.B$24.2B$24.A8$10.2B.A$10.2B.2B$12.B$12.2B
$12.A$15.AB$15.4B$16.3B$16.B.A$16.A!

Code: Select all

x = 40, y = 42, rule = B1S345678F2378K468L03568
36.A2B$36.3BA$36.AB$25.A$24.2B$24.AB.A2B5.2B$27.A2B4.A2B$35.BA8$21.
BA$21.2B.A2B$21.BA.3BA$24.AB13$2.BA$.A2B$2.2B$36.A2B$36.3BA$11.AB23.
AB$.A9.2B12.A$2B10.A11.2B$AB22.AB.A2B5.2B$27.A2B4.A2B$35.BA!

Code: Select all

x = 46, y = 47, rule = B1S345678F2378K468L03568
4.2B.B$4.2B.2BA$4.A2.2B$AB$4BA$2.2B$3.A9$12.AB$12.2BA11$24.AB$24.2B
A8$41.BA$33.A2B4.A2B$6.AB22.AB.A2B5.2B$6.2B10.A11.2B$7.A9.2B12.A$17.
AB23.AB$42.3BA$42.A2B$8.2B$7.A2B$8.BA!

and these ships:

Code: Select all

x = 60, y = 63, rule = B1S345678F2378K468L03568
8.AB$8.4B$9.3B$9.B.A43.2B$9.A45.2B$57.2BA$8.A9.A2B11.A9.A2B10.AB.B$
6.A3B7.4B9.A3B7.4B11.B$6.4B7.A3B9.4B7.A3B9.A$7.A2B9.A11.A2B9.A10.B.
A$54.3B$53.4B$43.3B7.AB$43.3BA$43.A2B$44.BA4$43.2B$43.2B$45.2BA$43.
AB.B$44.B15$13.AB$13.4B$14.3B$14.B.A$14.A41.B$55.AB.B$13.A23.A19.2B
A$11.A3B20.A3B16.2B$.A2B7.4B10.A2B7.4B10.A2B3.2B$4B8.A2B9.4B8.A2B9.
4BA$A3B20.A3B20.A3BA.A2B$2.A23.A23.A2.4B$53.2B.A$3.A50.A$3.B.A$3.3B
$2.4B34.3B$2.AB35.A3B$40.2BA$40.AB$44.B$43.AB.B$45.2BA$43.2B$43.2B!

Code: Select all

x = 68, y = 109, rule = B1S345678F2378K468L03568
30.BA$30.2B$25.AB3.A$25.B$23.A.B$23.3B$24.A$24.A2B$24.3B8$35.A2B$35.
3B$36.A$36.A2B$36.3B8$47.A2B$47.3B$48.A$48.A2B$48.3B5$4B54.B4.2BA$A
2BA26.AB12.2B8.AB.BA3.3B$30.2B2AB6.2B.2B8.2B6.B$30.2B.2B6.2B2AB8.2B
$33.2B6.AB23.BA$66.2B$66.A$30.2B$27.2B.2BA$27.2B.B16$27.2B.B$27.2B.
2BA$30.2B$66.A$66.2B$33.2B6.AB23.BA$30.2B.2B6.2B2AB8.2B$30.2B2AB6.2B
.2B8.2B6.B$A2BA26.AB12.2B8.AB.BA3.3B$4B54.B4.2BA5$48.3B$48.A2B$48.A
$47.3B$47.A2B8$36.3B$36.A2B$36.A$35.3B$35.A2B8$24.3B$24.A2B$24.A$23.
3B$23.A.B$25.B$25.AB3.A$30.2B$30.BA!

were constructed.

Brian Prentice

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