Rules One Transition Away from being Outer-Totalistic

[rabbit]

Over the past few years I have become interested in rules that are almost a part of the outer-totalistic rulespace, but have one transition that is flipped from what it should be. In rulestring terms, this means that the rules have only one letter (and optionally one dash). Notable examples include Just Friends (B2-a/S12), Travelling Ts, and every rule 1 transition from Life.

This space preserves the (relatively) small size of OT while increasing it to support more interesting rules, while the rules within remain simple to describe (e.g. "it's like B2/S12, but without B2a").

The rest of this introductory post will be short descriptions of interesting rules I have come across.

B34i/S125
Starting off with my favourite rule so far. The most obvious impact that the +B4i has on the base rule's behaviour is that the banana triplet (o$b2o!) becomes a 7-generation spark instead of stabilizing into two adjacent dominoes. It preserves the 2x2 block oscillators that gave 2x2 its name.

It has two common spaceships, one being the c/8 diagonal ship from 2x2 (which is significantly more common in this rule), and the other being a new p15 c/3 spaceship that has a massive backspark, and can interact with other copies of itself to form puffers:

Code: Select all

x = 70, y = 91, rule = B34i/S125
64b2o$63bob3o$62b3ob3o$62b3obo2bo$62b3ob3o$63bob3o$64b2o14$61bo$60bo$
60bo2bo$63b2o$60bo2bo$60bo$52bo8bo$53bo2$59bo7b2o$58bobo7b2o$57bo3bo6b
2o$58bobo7b2o$59bo7b2o17$46b2o$45bob3o$44b3ob3o$44b3obo2bo5bo3bo$44b3o
b3o3b2o5b2o$45bob3o3bo5bob3o$46b2o5bo7b2o$38bo15bobo4bo$39bo4bo4bo6bo$
40bo4bo4bo4b2o$54bo$55b2o5bo2b2obo$64bob2o$61b2obo4bo$64bob2o$62bo2b2o
bo5$20bo$2o17b3o$2bo17bo$2bo16bo$2o15bobo5b2o11bo7bobo$15bo2bo2b2o14b
3o7bo$14bo3bo2bobo12b2ob2o5b4o11bo$18bo3b2o13b3o7bo8b3o3bo$14b2o2b2o
14b2ob2o7bobo4b3obobo2bo$18bo4b2o8b2obo18bo6bo$19bo4bo5bo3bo19bobo4bo$
19bo18b2o4bo4bo6bo$20b3o7b2o3b3o2bo4bo4bo4bo$55bo8b2o$38bobo6b2o6b2o6b
ob3o$4b2o18b2o23bo12b3ob3o$25bo10bo2bo2bo4bob3o10b3obo2bo$2bo19b4obo
10bobo7b2obo10b3ob3o$2bo20b3obo8bo2bo2bo4bob3o11bob3o$25bobo21bo14b2o$
38bobo6b2o!

There is also a 2c/12 diagonal spaceship and a peculiar-looking c/6 diagonal spaceship:

Code: Select all

x = 16, y = 6, rule = B34i/S125
b3o10bo$2obo8bo2bo$3bobo6bo2bo$o9bo3b2o$b3o9bo$13bo!

There is a p2 from 2x2 that becomes a sparky p4 in this rule, which can interact with another copy of itself in at least four different ways:

Code: Select all

x = 47, y = 7, rule = B34i/S125
obobo5bobobo5bobobo5bobobo5bobobo$obobo5bobobo5bobobo5bobobo5bobobo$b
3o7b3o7b3o7b3o7b3o2$10bobobo6b3o8b3o8b3o$10bobobo5bobobo6bobobo6bobobo
$11b3o6bobobo6bobobo6bobobo!

Also, a failed gun exists with period 45, that can be stabilized with well-placed dominos:

Code: Select all

x = 27, y = 5, rule = B34i/S125
o9b2o3b2o9bo$o10b2ob2o10bo2$11b2ob2o$10b2o3b2o!

The reaction evolves from a line of 5 cells connected orthogonally.

B35678/S2-k3

This rule supports a very common (2, 1)c/17 R-pentomino spaceship, along with the 2c/8 orthogonal spaceship from B367/S23, as well as very rare c/22 diagonal and c/6 orthogonal as well:

Code: Select all

x = 30, y = 7, rule = B35678/S2-k3
b2o6b2o7b3o6b3o$3o5b2o7bo2bo6b3o$obo6bo6b2obobo$bo16bobo7bo$28bo$27bob
o$28bo!

Three of them only work due to B8.

There are many interesting oscillators in this rule as well, with highlights being the p3 section, the tiny p4 sparker, and the huge p60 on the bottom:

Code: Select all

x = 88, y = 111, rule = B35678/S2-k3
bo3b2o5bo5bo7bo9bobo7b2o4b2o8b2o6bo$bo3bo6bobo3bo5b2o3bo3b4obo7b2o2b3o
2bo6bo3bo2bobob2o$bo6bo2bobo4bo7b2obo6bobo5b2o4bo2b3o2b3ob2o2bo3bob2o
2bo$7b2o4bo5b3o7bo14bo7b2o8bo3bo5bob3o$42bobo17b2o9b2o$42b2o3$31b2o$4o
4b4o7b3o8bo2bo17b4o$7bo4bo5bo3bo6bo4bo15bo4bo$7bo4bo4bo5bo4bob4obo14bo
4bo$7bo4bo3bo3bo3bo2bo2bo2bo2bo13bo4bo$7bo4bo3bo3bo3bo2bo2bo2bo2bo13bo
4bo$8b4o5bo5bo4bob4obo10b4o6b4o$18bo3bo6bo4bo10bo14bo$19b3o8bo2bo11bo
14bo$31b2o12bo14bo$45bo14bo$41b4o16b4o$40bo24bo$40bo24bo$40bo24bo$40bo
24bo$41b4o16b4o$45bo14bo$45bo14bo$45bo14bo$45bo14bo$46b4o6b4o$50bo4bo$
50bo4bo$50bo4bo$50bo4bo$51b4o4$2o6b2o19bo10bo26bobo$3o5b2o7b4o2bobo3b
3o8b3o7bobo16bo4b3o8b3o$bo6b2o6bo2b2o4bo3bo4b3o3bo8bobobo13b3o4bo2bo2b
2o2bo2bo$8b2o5bo2bo4b3o10bo12bobobo20bo5b2o5bo$8b2o5bobo16bobo10b2o5b
2o19bo4b2o4bo$8b2o5b2o29bo4bo4bo9b2o11bo2bo$15b2o30b2obobob2o9bobo10bo
4bo$46bo4bo4bo3bobo2b3o7b3o6b3o$47b2o5b2o6bo12b3o6b3o$49bobobo6b3o15bo
4bo$49bobobo25bo2bo$50bobo22bo4b2o4bo$74bo5b2o5bo$74bo2bo2b2o2bo2bo$
74b3o8b3o5$5bo2bo$6b2o$5bobo$6bobo$bobo$2bobo$2b2o$bo2bo5$3o$2bo$2b2o$
3bo$4bo$5b2o$6b3o$8bo$8bo4$3b2o$3bo$o5bo$2o3b2o2$3bo$3b2o8$9b3o2b3o$
10bo4bo$8b2o6b2o$7bob2o4b2obo$5bob3o6b3obo$5b2obo8bob2o$5bo14bo3$5bo
14bo$5b2obo8bob2o$5bob3o6b3obo$7bob2o4b2obo$8b2o6b2o$10bo4bo$9b3o2b3o!

The R ship can eat blocks, and the 2c/8 can be eaten by the p4 sparker:

Code: Select all

x = 29, y = 16, rule = B35678/S2-k3
b2o17b2o$2o18b3o$bo18bobo$21bo3$7b2o$7b2o17b3o$26bo$26bobo$9b2o$9b2o3$
11b2o$11b2o!

No linear growth patterns have appeared naturally or semi-naturally yet, and I haven't found any reliable stable catalysts due to births above 5 cells being impossible to prevent with more on cells. However, the rule seems quite conducive to periodic sparkers because -S2k can cause a leading two-cell edge to die out.

B2-a4578/S128

No common spaceships, but there is a p56 spinner and 30c/60 (c/2) 1D replicator that leads to explosions, as well as a related 448c/896 (c/2) puffer:

Code: Select all

x = 83, y = 49, rule = B2-a4578/S128
o45bo29bo$bo42b2ob2o25b2ob2o$b2o38bo2bo3bo2bo19bo2bo3bo2bo$2o38bobo2bo
bo2bobo17bobo2bobo2bobo$o$40bobo2bobo2bobo17bobo2bobo2bobo$41bo2bo3bo
2bo19bo2bo3bo2bo$44b2ob2o25b2ob2o$46bo29bo32$17bo$17bo14bo$16b2o15bo$
16b3o14bobo5b3o$16bo16b2ob2o3bobo$34b2o4b5o$o34b2o4bobo$o27b2o11b3o$o
28bo!

B378/S123i6

This rule has a 3c/10 replicator, as well as elementary orthogonal spaceships of speeds c/2, 2c/4, 2c/8, 2c/10, and 6c/44:

Code: Select all

x = 57, y = 5, rule = B378/S123i6
3o2b3o4b3o9b3o4b2o2bo7b3o8b2o$8bo6bo2b3o9bo2b2o6bobo9b4o$obo2bo3bo2bo
4bo12bo9bo4bo8b2o$20bo2b2ob2o$17bo!

[hotcrystal0]

Excluding 1TFL rules, HeartLife, Sea Slugs, and Heights are other examples of such rules that already have their own thread.

[rabbit]

B36/S124a5 is highly explosive, but features a 5c/15 spaceship and a c/2 replicator:

Code: Select all

x = 2, y = 14, rule = B36/S124a5
o$o$bo$bo$o$o5$o$o$o$o!

B3/S124a5 (-B6 from the above rule) is less explosive, and the spaceship becomes this p129 (43*3) <corrected> puffer instead:

Code: Select all

x = 74, y = 12, rule = B3/S124a5
15b2o$55bobo$15b2o39bob2o$51b3o6bo10b2o$b2ob2o3bo17b2o26bo3b2o5bobobob
o$o5bobobo8bobo11bo2bo3bo9bo6bo7bo3b5o$o5bobobo8bobo11bo2bo3bo9bo6bo7b
o3b5o$b2ob2o3bo17b2o26bo3b2o5bobobobo$51b3o6bo10b2o$15b2o39bob2o$55bob
o$15b2o!

It's worth noting that a certain p2 oscillator that resembles a glider works in parts of this rulespace, such as B35/S23n4 which also features a c/4 orthogonal and a c/12 diagonal spaceship, both relatively common, as well as uncommon p10 and p14 oscillators:

Code: Select all

x = 40, y = 5, rule = B35/S23n4
bo3bobobo6bo8b2o2b2o3b6o$2bo2bo3bo6bo10b2o5b2o2b2o$3o3b3o4bo2bo10b2o5b
ob2obo$6bobo5b3o9bo2bo$26b4o!

EDIT: Further searching of that last rule brought c/2 and 2c/24 orthogonal spaceships:

Code: Select all

x = 17, y = 5, rule = B35/S23n4
b2o2b2o4bo$3o2b3o2b2ob2o$o6bo7b2o$bo4bo5bo$2b4o7b4o!

EDIT2: The rule also features the p4 spinning glider from OCA:Move, so it's got two of them.

[I6_I6]

Excluding 1TFL rules, HeartLife, Sea Slugs, and Heights are other examples of such rules that already have their own thread.

Don't forget Travelling Ts! (B3/S23-a5)

[LaundryPizza03]

B3/S124a5 (-B6 from the above rule) is less explosive, and the spaceship becomes this p215 (43*5) puffer instead:

Code: Select all

x = 74, y = 12, rule = B3/S124a5
15b2o$55bobo$15b2o39bob2o$51b3o6bo10b2o$b2ob2o3bo17b2o26bo3b2o5bobobob
o$o5bobobo8bobo11bo2bo3bo9bo6bo7bo3b5o$o5bobobo8bobo11bo2bo3bo9bo6bo7b
o3b5o$b2ob2o3bo17b2o26bo3b2o5bobobobo$51b3o6bo10b2o$15b2o39bob2o$55bob
o$15b2o!

This is p129, not p215.

[ThePlayzr]

Calculations for how many rules there are in this 'rulespace':
If we exclude B0 and B1, there are 2^16 outer-totalistic rules, and as there are 102 different isotropic conditions, minus B01ce8/S08 gives us 96, so 2^16 x 96, which gives us 1.5 x 2^21 rules that belong here.

[rabbit]

Three interesting-looking rules based on B37/S3567, a totalistic rule with uncommon c/2 spaceships/puffers:

B367/S34k567 has a non-monotonic c/6 spaceship and an almost-replicator:

Code: Select all

x = 27, y = 4, rule = B367/S34k567
3o18bo3bo$3o17b3ob3o$bo19b5o$21b5o!

Interesting oscillators of periods 8 and 20, c/2 spaceships of periods 32, 48, 56, 596, as well as a growing spaceship with a backend of speed 14c/32:

Code: Select all

x = 127, y = 24, rule = B367/S34k567
2bo20bo16b3ob3o13b3ob3o13b3ob3o13b3ob3o14bo3bo$5o18bo16b3ob3o13b3ob3o
13b3ob3o13b3ob3o13b3ob3o$5o18b2o16b5o15b5o15b5o15b5o15b5o$b3o16b2o2b3o
13b7o14b2o2b2o14b2ob2o15b3ob2o14b5o$2bo17bobo19bobo17b4o15b5o14b2ob3o
15b3ob2o$20b2obo18b3o37b3o16b3ob2o13b2ob3o$21b3o18b3o37b3o15b6o15b3ob
2o$42b3o57b2ob2o14b5o$43bo58b4o16b2ob2o$101b3ob2o14b5o$102b4o16b2ob2o$
101b3ob2o15b4o$102b4o15b3ob2o$101b3ob2o17b2o$102b4o18b3o$101b3ob2o16b
3o$102b4o18b3o$101b3ob2o16b2obo$102b4o$101b2ob2o$102bobo$102b2o$102b2o
$103bo!

B37/S2-a3567 is closer to life due to adding most of S2, and features a small c/3 spaceship, while adding a high degree of instability to the puffer engines:

Code: Select all

x = 27, y = 5, rule = B37/S2-a3567
2bo18bo3bo$bobo16b3ob3o$2ob2o16b5o$21b5o$25bo!

Rare natural spaceships include 2c/4 orthogonal, 2c/5 orthogonal, and c/6 diagonal:

Code: Select all

x = 6, y = 21, rule = B37/S2-a3567
b2o$3b2o$2o2bo$2bobo$2b2o4$2o$2b3o$2b2obo$3bobo$4b2o4$3bo$2bobo$b4o$ob
obo$b3o!

Lastly, B3-c67/S3567 has a genuine p98 c/2 replicator, but no small spaceships:

Code: Select all

x = 7, y = 7, rule = B3-c67/S3567
bo3bo$3ob3o$b5o$b5o$b5o$3ob3o$bo3bo!

Fortunately, guns can still be constructed for some less common spaceships:

Code: Select all

x = 212, y = 92, rule = B3-c67/S3567
5b2obobobob2o96b2o96b2o$5b11o93b5o94b4o$5b11o94b4o92bob4o$7b2obob2o92b
o3b2o95bobo$5b11o82b2o4bobo3b4o92bob4o$5b11o92b6o94b4o$5b2obobobob2o
91bo4b2o96b2o$106b3o2$3bo$ob3o$b3obo$2bo64$74b3ob3o$74b3ob3o$75b5o$74b
7o$75b2ob2o$74b7o$75b2ob2o$74b7o$75b5o$74b3ob3o$69bo4b3ob3o$70bo$69b3o
$68b3o$69bo$70bo!

This one is a p196 gun for a 50c/100 spaceship.

c/2 spaceships exist at periods 8, 34, 100, and 192:

Code: Select all

x = 67, y = 7, rule = B3-c67/S3567
3ob3o13b3ob3o14bo3bo14b3ob3o$3ob3o13b3ob3o13b3ob3o13b3ob3o$b5o15b5o15b
5o15b5o$6o14b7o14b5o15b2ob2o$ob5o15b3o16b5o15b3o$2o59b2o$2bo57b3o!

I will post my apgsearch results for each of these rules once the hauls are complete.

EDIT: Added more information.

[rabbit]

15c/106 orthogonal 1D replicator in B356/S34a578:

Code: Select all

x = 5, y = 4, rule = B356/S34a578
2ob2o$2ob2o$2ob2o$2ob2o!

7c/40 orthogonal dirty 1D replicator in B357/S34a57:

Code: Select all

x = 5, y = 2, rule = B357/S34a57
5o$5o!

19c/44 orthogonal dirty/failed 2D replicator in B2c3/S246:

Code: Select all

x = 4, y = 4, rule = B2c3/S246
b2o$4o$4o$b2o!

I find the last rule the most interesting of the three. It is, unfortunately, barely explosive, so searching it can be difficult.

EDIT: It is most readily explosive along lines of odd reflective symmetry, so searching symmetries which necessarily eliminate those (such as D8_4) is best. Asymmetric explosions only happen in much larger soups.

A p4 hassler of no particular importance:

Code: Select all

x = 15, y = 17, rule = B2c3/S246
6bo2$4bo3bo2$4bobobo3bobo2$10bo3bo$8bo$9bo2bobo$8bobo$2bobo4bo$8bo$o3b
o5bo2$2bobo3bo3bo2$8bobobo!

EDIT2: A p40 gun and two p80 guns:

Code: Select all

x = 272, y = 54, rule = B2c3/S246
36bobo137bobo58bobo$172bo2$170b3o$172b4o$172bo2bo$232bo4bo$30b2o4b2o
132b2ob2ob2o54bo4bo$32bo2bo133bo8bo51b2o6b2o$30b2o4b2o133bo4bo53b2o2b
2o2b2o$19bo11b6o11bo110bo7bo3b6o3bo7bo31bo7b2obobo2bobob2o7bo$26bobo2b
6o2bobo124bo4b6o4bo46b3o2b4o2b3o$19bo6bob3ob4ob3obo6bo110bo6bob3o2b2o
2b3obo6bo31bo5b2o14b2o5bo$27bob3o4b3obo122b2o4b2o2b2o2b2o4b2o45b2o6b2o
$29b3o4b3o124bo2bo2b4o2b4o2bo2bo44bobo6bobo$29b3o4b3o124bo2bo2b4o2b4o
2bo2bo44bobo6bobo$27bob3o4b3obo19bobo97bob3o4b2o2b2o2b2o4b3obo42b2o6b
2o$26bob3ob4ob3obo14bo105bo3bob3o2b2o2b3obo3bo40b2o14b2o15bobo$26bobo
2b6o2bobo120bo3bo4b6o4bo3bo42b3o2b4o2b3o13bo$31b6o17b3o110bo3b6o3bo47b
2obobo2bobob2o$30b2o4b2o18b4o111bo4bo53b2o2b2o2b2o13b3o$32bo2bo20bo2bo
109bo8bo51b2o6b2o15b4o$30b2o4b2o132b2ob2ob2o34bo19bo4bo17bo2bo$10bobo
41b2ob2ob2o170bo4bo$53bo8bo87bobo19bo2bo36bo40b2ob2ob2o$55bo4bo111b4o
76bo8bo$31b2o2b2o14bo3b6o3bo105b3o2b3o53bobo2bobo15bo4bo$29bo2b4o2bo7b
o3bo4b6o4bo3bo102b4o55b2o4b2o11bo3b6o3bo$30bobo2bobo8bo3bob3o2b2o2b3ob
o3bo103b2o56bo6bo6bo3bo4b6o4bo3bo$32bo2bo7bob4o4b2o2b2o2b2o4b3obo100b
4o57b4o8bo3bob3o2b2o2b3obo3bo$42b4obo2bo2b4o2b4o2bo2bo104b2o59b2o6bob
4o4b2o2b2o2b2o4b3obo$33b2o7b4obo2bo2b4o2b4o2bo2bo164b4o4b4obo2bo2b4o2b
4o2bo2bo$32b4o7bob4o4b2o2b2o2b2o4b2o165b2o5b4obo2bo2b4o2b4o2bo2bo$o13b
2o16bo2bo10bo3bob3o2b2o2b3obo6bo78bo6bo83bob4o4b2o2b2o2b2o4b2o$13b4o
15b4o10bo3bo4b6o4bo74bo12b4o43bobo11b4o16b2o9bo3bob3o2b2o2b3obo6bo$o
13b2o16b4o15bo3b6o3bo7bo76bo3b4o3bo54b2o16b4o8bo3bo4b6o4bo$11bo2b2o2bo
11b2o4b2o17bo4bo79bo71bo2b2o2bo12bob2obo12bo3b6o3bo7bo$10b4o2b4o10b2o
4b2o15bo8bo87b2o2b2o2b2o13b2o37b3o2b3o11b3o2b3o15bo4bo$10b4o2b4o10b2o
4b2o16b2ob2ob2o88b2obo2bob2o4b3o5b4o36b3o2b3o11b3o2b3o13bo8bo$11bo2b2o
2bo11b2o4b2o112b2obo2bob2o4b3o5b4o36bo2b2o2bo12bob2obo15b2ob2ob2o$14b
2o16b4o20bo2bo90b2o2b2o2b2o13b2o40b2o16b4o$13b4o15b4o20b4o154b4o16b2o
19bo2bo$14b2o38b3o92bo3b4o3bo94b4o$153b4o96b3o$56bo94bo6bo$60bobo192bo
$259bobo5$212bo$10bobo$150bobo59bo!

EDIT3: Two-engine p40 gun using a small p4 to suppress a deadly cluster:

Code: Select all

x = 64, y = 49, rule = B2c3/S246
33bobo7$37b2o$36b4o$35bo4bo$23bo12b4o12bo$37b2o$23bo8bo10bo8bo$31bobo
8bobo$30b2ob2o6b2ob2o$30b2ob2o6b2ob2o$31bobo8bobo$32bo10bo$37b2o$10bob
o23b4o$35bo4bo$36b4o$37b2o$24b4o3$24b4o$36bo3$32bo2b2o2bo$13b4o13b2o2b
o3bo$12bo4bo13bo3bo4bobo17bobo$12bo4bo10bobo3bobo2bob3o17b3o$12bo4bo
13b2obobo2bob3o17b3o$12bo4bo11bo5bo4bobo17bobo$o12b4o14bo2bo3bo$31bo3b
2o2bo$o2$36bo8$10bobo!

[FWKnightship]

c/3d, c/4d, c/3, c/5, c/6, 2c/5:

Code: Select all

x = 166, y = 160, rule = B2c3/S246
7bo35b2o46bo2bo2bo16bo17bo20b4o$5bo4bobo28bo2bo44b3o5b3o54b2o$4b2o2b2o
2b2o27b2o45b2o3bobo3b2o12b3o14b2ob2o$3bobo6bo2bo25b3obo43bo4bo4bo12b2o
b2o13bo3bo16bobo2bobo$2bo2b3obobo2bo2bo22bob3o2bo41bobobobobobo48b5o4b
5o$b4o6bo3bo24bo2b2o3bo43bobobo50b3ob2o4b2ob3o$4bobo4bo4b2o23bo2bob2o
42bo3bo3bo12bobobobo11b3ob3o9b2obo2b2ob2ob2o2bob2o$o3bo8bobo2bobo26bo
40b2o4bo4b2o8bobobobobobo9b2obob2o9b3o2bo2bo2bo2bo2b3o$2bo11b2obo26bo
4b2o38bo2b2ob2o2bo10bo3bo3bo10bo2bo2bo10bobobo8bobobo$2bobo9b3o2b2o27b
ob2o37bob2obob2obo8b2obo5bob2o8b7o10b2obob8obob2o$bo12b3o2b2o25b2o3bo
38b2ob3ob2o10bo9bo12bo20bo2bo$4b3o9bobo2bob2o24bo2bobo37b5o17bo14b7o
11b2o2bo2b2o2bo2b2o$b3o10b2ob2o3bobo24b2o42b3o13b2o7b2o26bo4b2ob2ob2o
4bo$2bo4bo11bob2o2bo23b2o93b3o2bobo6bobo2b3o$4bo3b3obo4b2o2bo29bobo2bo
2bo32b5o31b3o3b3o12bo10bo$3bobob4obo4b3ob2obo26bob4ob2o67b2o7b2o9b5ob
4ob5o$6bo2b3o6bobob2o2bo28b4o2b2o27bo2bobo2bo50bo3b4o3bo$4bobobo3bob2o
3b3o4bo29b2o4bo28bo2bo2bo30bo2bobo2bo11bobo3b2o3bobo$7bo3b2ob3o2bo2bo
3bobo24bo3bo5bo24bo2bobobobo2bo26bobobobobobo10bo5b2o5bo$9b2o2bobob4ob
2o4bo24bobobobob2o25b2o9b2o47bo5b2o5bo$7bob2o5b2obobobobo31b2obo3bo23b
2o2bo3bo2b2o27b3obob3o11bobo8bobo$11bob3obo2bob2ob2o34b2o31bo35b5o16b
2ob2ob2o$12b2ob2ob2ob3o3bo27bobob2o29bobo3bobo31b2ob2o16bo6bo$11bo4bo
2b4obo66bo5bo31bo2bo2bo13bobo2b2o2bobo$11b2o2bo7bo2bo30bo2bo87bobo3b2o
3bobo$13bo6b2o36b2o71bobo14b3obob2obob3o$16b3o2bo2bo123bo2b2ob2ob2o2bo
$22bo125bo12bo$18b2o129b2o2bo2bo2b2o$147bo2bobo4bobo2bo$151bo2b2o2bo$
151bo6bo$147bob3o6b3obo$147b2ob2obo2bob2ob2o$149bo3bo2bo3bo$146bobo2bo
6bo2bobo$151bo6bo$148b2o10b2o$146bo2bobo6bobo2bo$148b3o8b3o$148b3o8b3o
$146bo3bobo4bobo3bo$146b2o5bo2bo5b2o$147bobo4b2o4bobo$145bo6bo4bo6bo$
147b2obo3b2o3bob2o$148bo12bo$146bo5b2o2b2o5bo$147b2o3bo4bo3b2o$146bobo
5b2o5bobo$149b5o2b5o$150b2ob4ob2o$149bo10bo$151bobo2bobo$150bo2bo2bo2b
o$148b3o2b4o2b3o$150b2o2b2o2b2o$148b2o2bob2obo2b2o$152bo4bo$151bob4obo
$149bo10bo$153bo2bo$151bo6bo$150b4o2b4o$149bobo2b2o2bobo$149bob3o2b3ob
o$150bo8bo$150b2o2b2o2b2o$149bo3bo2bo3bo$149b2o8b2o$149bo3bo2bo3bo$
149bo3bo2bo3bo$152bo4bo$148b2obo6bob2o$152b6o$145bob16obo$144bo3bobo2b
o2bo2bobo3bo$144bo2bobob2o4b2obobo2bo$149b2o2bo2bo2b2o$146b2obo2bob2ob
o2bob2o$147bob2o8b2obo$147bo2b3ob2ob3o2bo$146b3o5b2o5b3o$150bo2bo2bo2b
o$146bobobo8bobobo$147bobo3bo2bo3bobo2$154b2o$150b2obo2bob2o2$150b2obo
2bob2o$150bobo4bobo$153bo2bo$150b2obo2bob2o$148bo3bo4bo3bo$148b2o10b2o
$148b2o2bo4bo2b2o$151bo6bo$150bobo4bobo$149b2o2bo2bo2b2o$148b4o6b4o$
150b2obo2bob2o$148bobo2bo2bo2bobo$149b2o8b2o$150b2o6b2o$146b3o12b3o$
147b3o10b3o$145bo7b4o7bo$150b2ob4ob2o$151bo2b2o2bo$151bob4obo$150b2o6b
2o$150b4o2b4o$149bob3o2b3obo$148bo4bo2bo4bo$151bobo2bobo$148bob3o4b3ob
o$146b4ob2o4b2ob4o$145b2obobo8bobob2o$145b3o4bo4bo4b3o$144b4obo2bo4bo
2bob4o$144bob2o3bobo2bobo3b2obo$145b6o2bo2bo2b6o$148bo4bo2bo4bo$147b2o
2bobo2bobo2b2o$154b2o$151b2o4b2o$147bobo10bobo$148b3o8b3o2$151bo6bo$
151b8o$152b6o$153bo2bo$153b4o$152b2o2b2o$153b4o$152b2o2b2o$152b6o$151b
2o4b2o$154b2o$151bo2b2o2bo$152bo4bo$154b2o2$153bo2bo$152bob2obo$152bo
4bo$151bo6bo$151bob4obo$151bo6bo$151b2o4b2o$150b2o6b2o$151bob4obo2$
150bo8bo$148b2obo6bob2o$149bo10bo$148bobo8bobo$149bo10bo!

EDIT: c/5d:

Code: Select all

x = 50, y = 50, rule = B2c3/S246
3b3o$b2ob2o$bobo3bo$ob3o2b2o$2obo2b4o4bo$2o6bo$4bobo5bobo$2b3o4bo2bob
4o$3b3o2bob2o4bo$4bo2bobo6bo$8bo3bo3b2o$8bo4b3o$6b2o2bo4b2o$11bo4bobo$
4bob2o3bo5bo$7bo3b2o3bo3b2o$7b4ob2obo2b2o$7bo2bo3bo3bo4bo$13bo2b2o2b3o
b2o$16bo4bo2bobo$15bo2bo5b2o$15bo2b2o2b2o2bo4b2o$18bo2bobo8bo$17bo3b2o
b2o5bo$18b3o2bo2bob4o$18bobo2bo2bo3bo$19bobo2b2o$28b2o2bobobo$24bo2bo
3bo2bo$24bo2bo2b2o6bo$24b2o3bo3b2o2b2o$21bob2o3b2o2b2o2b2o2bo$21b2o4bo
3bob2o3bo$30b3obobob2o$27b2obob2ob2ob2o$34bobo$27bo3bob6obobo$30b2o4bo
$29b2ob3obo2bo2bo$33b2o3bo2bo3b2o$31bo4bo4b2o4bo$39b2obobo$36bobob2o2b
ob2o$45bo3bo$41b2o2b2o$39bo3b2o$39bo2bobo2bo$40bobo3bo2$43bo!

[FWKnightship]

(2,1)c/5 in B2c3/S246, found by LLSSS:

Code: Select all

x = 58, y = 107, rule = B2c3/S246
5bobobo$3bob2obo$3b2o6bo$3b3ob3o$bob4o2bo$bobo5bobo$o6b3ob3o$6bo3b2obo
b2o$4bo2bobo5bo$4bo3b2obo4bo$4bo2bo2bo2bo3b2o$7b3obobo3b2o$7b2o2bobo2b
3o$7bo3b2o2b2o$8b2o2b2o4b2o$12bo5bo$14bobob2o2bobo$12b2o10b2o$15bobo4b
4o$11bo4bob2o2bo$17bob2ob2o$12b2o10bo$14bo2b2o5bo$21bo5bo$22b2o2bo$16b
obobo3b3o$18b2o$21bobo$20bobo$19bo5bo$18bo4bo$21b3obo$17bobob4o$17b2ob
ob2o2bo$17bob2o5bo$16bo2b2ob2o$17bo6b2o$22bo4bo$23bo2bo$22bo3bob2o$18b
o4bobob2obo$21b3obo4bo$19bobo2bobob2o2bo$20b3o3bobo2bo$20b2o4bobobo2bo
$20b3o4b2o4bo$21b3obo3b2o$21b2obo5bo$21bob2o5b2o$27bo$21bo4bob3o$21bo
5bo2bo$29bo$24b2obob3o2bo$25b2o3bob3o$25bob3o2bo$26bo9bo$28bo6b2o$27b
3o$28bo4b2obo$30bo3bobo2bo$35b2o3bo$36bo$38b2o$36b2obo$44b2o$38b4o2bo$
38b2obob2o$42bo2bo$39b4ob2o$41bo2bo$40bo2b3o$40bobobo$40b2ob2o$41bo2bo
$40bobobo$43b3o$43bo$43bo4bo$43bo2bo$44bob2obo$43b6o$42bo4bo$41b3o5bo$
44b2o$43bob2o$43bo2bo$47bo$42b2o2b2o$43bo4bo$43bo$44b2o$45b4o$44b3obo$
43bo$45b3obo$49bo2$47bob2obo$53bo2b2o$54b2obo$56bo$53bo$53bobo2$53b2o$
53bobo!

[rabbit]

B3678/S2c3467 (two transitions away from Day & Night has a 2D replicator that travels at 5c/42:

Code: Select all

x = 3, y = 3, rule = B3678/S2c3467
2o$3o$2o!

B34r5/S136 has a 1D replicator that travels at 5c/10 orthogonal:

Code: Select all

x = 4, y = 5, rule = B34r5/S136
2bo$o2bo$ob2o$o2bo$2bo!

A p80 gun for the small c/3 spaceship:

Code: Select all

x = 63, y = 61, rule = B34r5/S136
17bo43bo$o15bo2bo39bo2bo$o15b2obo37bo$obo13bo2bo39b2o$o16bo$o58bo2bo$
61bo34$59b3o$58bobobo4$58bobobo$59b3o12$59bo2$57b5o!

EDIT: 17c/34 orthogonal 1D replicator in B34i/S135:

Code: Select all

x = 7, y = 5, rule = B34i/S135
2bobo$7o$2o3b2o$7o$2bobo!

34c/68 orthogonal spaceship:

Code: Select all

x = 56, y = 15, rule = B34i/S135
35bo5bo$24bo2bo21bo2bo$22b2o3bo4bo2b2o3b2o2bo4bo3b2o$21b2o4bo4b2ob2o3b
2ob2o4bo4b2o$22b2o3bo4bo2b2o3b2o2bo4bo3b2o$24bo2bo21bo2bo$35bo5bo$2o3b
o$2o2bo2$19b2o2bo7b2o3b2o7bo2b2o$17b3o2bobo4b4o3b4o4bobo2b3o$17b2o3bob
o2b3ob3ob3ob3o2bobo3b2o$17b3o2bobo4b4o3b4o4bobo2b3o$19b2o2bo7b2o3b2o7b
o2b2o!

p12 dot sparker:

Code: Select all

x = 5, y = 3, rule = B34i/S135
b3o$obobo$o3bo!

p272 gun that shoots a 17c/34 spaceship:

Code: Select all

x = 71, y = 206, rule = B34i/S135
6bo2bo13b2o21b2o13bo2bo$5bob2obo12b2o21b2o12bob2obo$6bo2bo13b2o21b2o
13bo2bo13$18bo$17b3o$17bobo$16bo3bo$17bobo2$17bobo$17bobo$16b2ob2o3$
17b3o$17b3o$17bobo$15bo5bo$14bobo3bobo$15bo5bo$17bobo$17b3o$17b3o3$16b
2ob2o$17bobo$17bobo2$17bobo$16bo3bo$17bobo$17b3o$18bo13$b3o$b3o$2ob2o$
bobo$2ob2o2$bobo2$2ob2o$bobo$2ob2o$b3o$b3o13$18bo33bo$17b3o31b3o$17bob
o31bobo$16bo3bo29bo3bo$17bobo31bobo2$17bobo31bobo$17bobo31bobo$16b2ob
2o29b2ob2o3$17b3o31b3o$17b3o31b3o$17bobo31bobo$15bo5bo27bo5bo$14bobo3b
obo25bobo3bobo$15bo5bo27bo5bo$17bobo31bobo$17b3o31b3o$17b3o31b3o3$16b
2ob2o29b2ob2o$17bobo31bobo$17bobo31bobo2$17bobo31bobo$16bo3bo29bo3bo$
17bobo31bobo$17b3o31b3o$18bo33bo13$67b3o$67b3o$66b2ob2o$67bobo$66b2ob
2o2$67bobo2$66b2ob2o$67bobo$66b2ob2o$67b3o$67b3o13$52bo$51b3o$51bobo$
50bo3bo$51bobo2$51bobo$51bobo$50b2ob2o3$51b3o$51b3o$51bobo$49bo5bo$48b
obo3bobo$49bo5bo$51bobo$51b3o$51b3o3$50b2ob2o$51bobo$51bobo2$51bobo$
50bo3bo$51bobo$51b3o$52bo7$52bo$51bobo$44bobo11bobo$42b5o11b5o$42b2o4b
4ob4o4b2o$18bo23b5o11b5o$17bobo24bobo11bobo$19b3o12b3o$20b3o28b3o$20b
3o28b3o$19b3o12b3o$17bobo24bobo11bobo$18bo23b5o11b5o$42b2o4b4ob4o4b2o$
42b5o11b5o$44bobo11bobo$51bobo$52bo!