Miscellaneous Discoveries in Other Cellular Automata

[hibiscus]

Found this natural p733 (prime period!) oscillator while rulegolfing from a rule that was the black-and-white reversal of another rule (B3aeik4ar5acijn6ck7e8/S1c2-kn3r4aiqrtw5cjnry6-n78):

Code: Select all

x = 6, y = 3, rule = B2n3-jnry4cejkryz5-r6kn7e8/S1c2-ck3ekqry4-an5-aeik678
bo2bo$6o$bo2bo!

c/125d in a related rule:

Code: Select all

x = 5, y = 5, rule = B2n3aeikq4cejkryz5-r6kn78/S1c2-ck3ekqry4-an5-aeik678
3obo$b3o$3b2o$3b2o$4bo!

[b-engine]

The first rake ever:

Code: Select all

x = 10, y = 10, rule = SparkCoil
6.3B$4.5B$3.4B3C$2.B.2B2C$.3B.2C$.3BC.C$3B3C$2B2C$2BC$2.C!
@RULE SparkCoil
@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a = {0,1,2,3}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,2,3}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var b5 = b
var b6 = b
var b7 = b
var b8 = b
var c = {0,1}
var c1 = c
var c2 = c
var c3 = c
var c4 = c
0,1,1,1,2,2,2,2,0,3
a,1,1,1,b,b1,b2,b3,b4,1
1,1,1,b,b1,b2,b3,b4,b5,1
1,a,a1,a2,a3,a4,a5,a6,a7,0
0,2,2,2,c,c1,c2,c3,c4,2
0,2,2,2,2,2,c,c1,c2,2
0,2,3,3,3,3,3,3,a,3
2,1,3,a1,a2,a3,a4,a5,a6,3
2,3,3,3,a,a1,a2,a3,a4,3
3,2,a,a1,a2,a3,a4,a5,a6,3
3,a,a1,a2,a3,a4,a5,a6,a7,0
@COLORS
1 255 255 255
2 64 64 64
3 255 216 0
@NAMES
1 Life
2 Methane
3 Fire

EDIT:
Related spaceship:

Code: Select all

x = 10, y = 10, rule = SparkCoil
6.2B$4.5B$4.3B3C$4.2B2C$.3B.2C$.3BC.C$3B3C$2B2C$.BC$2.C!
@RULE SparkCoil
@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a = {0,1,2,3}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,2,3}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var b5 = b
var b6 = b
var b7 = b
var b8 = b
var c = {0,1}
var c1 = c
var c2 = c
var c3 = c
var c4 = c
0,1,1,1,2,2,2,2,0,3
a,1,1,1,b,b1,b2,b3,b4,1
1,1,1,b,b1,b2,b3,b4,b5,1
1,a,a1,a2,a3,a4,a5,a6,a7,0
0,2,2,2,c,c1,c2,c3,c4,2
0,2,2,2,2,2,c,c1,c2,2
0,2,3,3,3,3,3,3,a,3
2,1,3,a1,a2,a3,a4,a5,a6,3
2,3,3,3,a,a1,a2,a3,a4,3
3,2,a,a1,a2,a3,a4,a5,a6,3
3,a,a1,a2,a3,a4,a5,a6,a7,0
@COLORS
1 255 255 255
2 64 64 64
3 255 216 0
@NAMES
1 Life
2 Methane
3 Fire

[I6_I6]

Here are some c/4ds in Brian's Brain, found using rlifesrc:

Code: Select all

x = 216, y = 30, rule = /2/3
193.A$188.A3.B.B$187.B.B.2A$186.2A4.B4.ABA$153.A33.B10.B$148.A3.B.B
32.A4.A3.BA$147.B.B.2A35.BA.B.BA5.A$146.2A4.B4.ABA30.3BA.6B2A$147.B
10.B31.A3.A6.B.BAB$147.A4.A3.BA34.BA.B2A.A2.BA$83.A64.BA.B.BA5.A33.B.
BAB.2B$53.A28.BAB37.A27.3BA.6B2A31.B.A2.3BA3.B$52.BAB4.B21.A35.A3.B.B
26.A3.A6.B.BAB28.B2.B8.2A$51.A5.A.A22.B33.B.B.2A30.BA.B2A.A2.BA29.ABA
.ABA3BA3.B2.B$31.A20.B4.2B24.A31.2A4.B4.ABA25.B.BAB.2B42.B.A2.A.A$26.
A3.B.B20.A3.A.2A23.B3.ABA25.B10.B22.A3.B.A2.3BA3.B34.2B2ABA3.B$25.B.B
.2A23.B3.AB.BA19.BA5.B26.A4.A3.BA22.BAB2.B2.B8.2A27.ABA3.A5.B$7.A16.
2A4.B21.BA5.B3.B18.A.A3.A.B4.B21.BA.B.BA5.A18.A4.ABA.ABA3BA3.B2.B25.B
11.A$6.BAB16.B26.A.A2.BA24.B.B3.B.A.A.A23.3BA.6B2A17.B14.B.A2.A.A22.B
A8.A3.B$5.A19.A27.B.BA4.A.A20.A3.2A2.BAB3.A20.A3.A6.B.BAB26.2B2ABA3.B
31.AB.B2.2A$6.B19.BA.B.A22.A6.2B.BA23.B4.A2.B.B21.BA.B2A.A2.BA22.ABA
3.A5.B35.B5.B2A$7.A20.3BAB26.A2.B2.BA20.BA4.B2.2A25.B.BAB.2B25.B11.A
32.BA5.A.BAB$2.A5.B19.A3.A2.A23.2B2A2.B27.A3.B25.B.A2.3BA3.BA17.BA8.A
3.B5.A34.B$.BAB.AB.A22.AB.BABA23.A.BA.B27.B2.2A4.A19.B2.B6.B.B26.AB.B
2.2A3.BAB33.AB$A5.B.BA3.B18.B3.A.B21.B2.A.A3.BA26.B4.BAB17.ABA.ABAB2.
A.2B27.B5.B2.A37.A$.B4.A2.BA.A19.A4.B22.A3.B.A3.B24.A2.A2.A31.B.B25.B
A5.2A3.B36.AB.BA$7.B.A.B18.A.AB3.ABAB20.B2.AB.BA24.AB.2B4.B30.A.B33.B
A38.B2AB.B$8.B.A18.B.BA32.AB.B25.B2.2BA24.ABA2.ABA2.2BA31.B.BA35.A.A
4.2A$7.A2B18.2A5.B29.2A25.BA3.A.BA24.B4.B4.A34.A.B34.2B5.B$8.A20.B36.
B34.B21.BA3.BA40.BA35.A!

[hotcrystal0]

B3-j4ek5aeikr/S2-c3-c4iq5e68 seems to be a pretty interesting rule. To start, here’s a P8 and spaceships of speeds 2c/4o, c/4d, 3c/14d, and 2c/16d:

Code: Select all

x = 45, y = 15, rule = B3-j4ek5aeikr/S2-c3-c4iq5e68
27bo13b3o$14b3o9b2o12bo3bo$16bo8bobo12bo2b2o$16bo8bo14b3o5$bo$2b2o$o$
3o$14bobo$13bob2o$14bobo!

There’s also a natural wickstretcher which I’m calling “gliderstretcher” because of its frontend:

Code: Select all

x = 5, y = 6, rule = B3-j4ek5aeikr/S2-c3-c4iq5e68
2b3o$4bo$2bo$2bo$2o$2o!

Some miscellaneous catalysis reactions:

Code: Select all

x = 37, y = 37, rule = B3-j4ek5aeikr/S2-c3-c4iq5e68
33b2o$33b2o$31b2o$6b2o23b2o$6b2o$8b2o$8b2o3$23b3o$25bo$25bo2$b3o$3bo31b
2o$3bo30bobo$34b2o6$13b2o$3bo10bo11bo$2b2o9bo11b2o$bobo9b2o9bobo$bo22b
o4$16b2o$16b2o$14b2o$14b2o$bobo$ob2o$bobo!

[b-engine]

Two 6c/16 orthogonal rakes, one back, one side:

Code: Select all

x = 7, y = 16, rule = SparkCoil
3.2B$.4B$.2B2C$2B2C$3BC6$2.2B$2.2BC$2.B2C$3.B3C$3.2BCB$5.2B5$9.2B$7.2BCB$7.B3C$6.B2C$5.3BC$6.2B3$3.2B$.4B$.B3C$2B2C$2B2C$.B!

@RULE SparkCoil
@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a = {0,1,2,3}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,2,3}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var b5 = b
var b6 = b
var b7 = b
var b8 = b
var c = {0,1}
var c1 = c
var c2 = c
var c3 = c
var c4 = c
0,1,1,1,2,2,2,2,0,3
a,1,1,1,b,b1,b2,b3,b4,1
1,1,1,b,b1,b2,b3,b4,b5,1
1,a,a1,a2,a3,a4,a5,a6,a7,0
0,2,2,2,c,c1,c2,c3,c4,2
0,2,2,2,2,2,c,c1,c2,2
0,2,3,3,3,3,3,3,a,3
2,1,3,a1,a2,a3,a4,a5,a6,3
2,3,3,3,a,a1,a2,a3,a4,3
3,2,a,a1,a2,a3,a4,a5,a6,3
3,a,a1,a2,a3,a4,a5,a6,a7,0
@COLORS
1 255 255 255
2 64 64 64
3 255 216 0
@NAMES
1 Life
2 Methane
3 Fire

[Resu]

Two 6c/16 orthogonal rakes, one back, one side:

Code: Select all

x = 7, y = 16, rule = SparkCoil
3.2B$.4B$.2B2C$2B2C$3BC6$2.2B$2.2BC$2.B2C$3.B3C$3.2BCB$5.2B5$9.2B$7.2BCB$7.B3C$6.B2C$5.3BC$6.2B3$3.2B$.4B$.B3C$2B2C$2B2C$.B!

Front-rake and side rake:

Code: Select all

x = 15, y = 51, rule = SparkCoil
13.2B$11.2BCB$11.B3C$10.B2C$9.3BC$10.2B3$7.2B$5.4B$5.B3C$4.2B2C$4.2B2C
$5.B24$.B$2B2C$2B2C$.B3C$.4B$3.2B3$6.2B$5.3BC$6.B2C$7.B3C$7.2BCB$9.2B
!

@RULE SparkCoil
@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a = {0,1,2,3}
var a1 = a
var a2 = a
var a3 = a
var a4 = a
var a5 = a
var a6 = a
var a7 = a
var a8 = a
var b = {0,2,3}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var b5 = b
var b6 = b
var b7 = b
var b8 = b
var c = {0,1}
var c1 = c
var c2 = c
var c3 = c
var c4 = c
0,1,1,1,2,2,2,2,0,3
a,1,1,1,b,b1,b2,b3,b4,1
1,1,1,b,b1,b2,b3,b4,b5,1
1,a,a1,a2,a3,a4,a5,a6,a7,0
0,2,2,2,c,c1,c2,c3,c4,2
0,2,2,2,2,2,c,c1,c2,2
0,2,3,3,3,3,3,3,a,3
2,1,3,a1,a2,a3,a4,a5,a6,3
2,3,3,3,a,a1,a2,a3,a4,3
3,2,a,a1,a2,a3,a4,a5,a6,3
3,a,a1,a2,a3,a4,a5,a6,a7,0
@COLORS
1 255 255 255
2 64 64 64
3 255 216 0
@NAMES
1 Life
2 Methane
3 Fire

[LuveelVoom]

Spaceship to active region in HC0's new rule:

Code: Select all

x = 19, y = 19, rule = B3-j4ek5aeikr/S2-c3-c4iq5e68
17bo$15bo2bo$15b3o$16bo5$2b2o$2b2o$2o$2o4$2b2o$2b2o$2o$2o!

[M. I. Wright]

Fun crystal thing:

Code: Select all

x = 48, y = 49, rule = B2e3aijr4aw/S1c23-air4-aij6acn
28b2o$13bobo14bo9b2o2b2o$14bo13b2o11b2o3bo$13bobo24b2obobo$41bo$45b2o$
47bo$45b2o2$24bobo$24bobo$25bo4$obo$bo$obo2$26bobo$27bo$26bobo2$obo$bo
$obo2$26bobo$27bo$26bobo2$obo$bo$obo5$17bobo$18bo$17bobo2$17bobo$18bo$
17bobo6bobo$27bo$23bob2obo$24bo$23bobo!

[CARuler]

ship (22c/220o (c/10o))

Code: Select all

x = 9, y = 18, rule = B34t/S23-c5c
4bo$3bobo$2bo3bo$2bobobo$2bobob2o$2bobobo$2bob2o3$5b2o$5bobo$5bo$6b3o
$7b2o2$o5b2o$2bo3bo$b2o!

[LaundryPizza03]

Incredibly silly (46,30)c/258 from 5 (23,15)c/129 engines:
(unoptimized, all noninteracting engines cleaning up after each other)

Code: Select all

x = 497, y = 694, rule = B3air4aceirwz567/S2-a3-aejr4cknqy5ejky8
490bo$468b3o18bobo$468bo2bo18b3o$467b2o2bo21bo$466bo4b2o16bob3o$465b3o
4b2o15bob2obo$466bo5bo16bo4b3o$468bobo21bobobo$493b4o5$465bo$464bobo
22bo$463bo3bo19b2obo$464bobo19b2o3bo$465bo19bo2bo3bo$484b2o3bo3bo$484b
obo3bo3bo$483bo3bo3bobo$484bo3bo3b2o$441bo43bo3bo2bo$440bobo25bobo15bo
3b2o$439bo3bo19bo2bo5bo14bob2o$438bo3bo4bobo13bo8b2o14bo$437bo3bo4b3o
7bo6bo7b2o$436bo3bo6b3o5bo12bo2bo7bo5bobo$437bobo8bo17bobo2bo6bobo4bob
o$438bo26b2o2b2o5b2o3bo3bobo$459bo6b2o8bo3bo$430bo30bo3bo2bo7b2obo$
429b3o36bo9bo$428b5o34bo$427bob3obo32bo$427bo4bo5bo$425b3ob3o7bo$424bo
6bo6bobo$427bob2o6bo2bo$427b3o7bo2bo$425b4o8b3o$427b3o$428bo4$447b2o$
448bo$447bo2$453bobo$452bobobo$451bo5bo$450bo7bo$449bo9bo$448bo11bo$
447bo13bo$448bo11bo$449bo9bo$450bo7bo$451bo5bo$452bo3bo$398bo54bobo$
397bobo54bo$396bo3bo$395bo5bo$394bo7bo$393bo9bo$392bo11bo$391bo13bo$
392bo11bo$393bo9bo$394bo7bo36bo$395bo5bo36bobo$396bo3bo36bo3bo$397bobo
36bo5bo$398bo36bo7bo$434bo9bo$433bo11bo$432bo13bo$433bo11bo$434bo9bo$
435bo7bo$436bo5bo$437bo3bo$438bobo$439bo2$407bo$406b3o$405b3o$404b4o$
404b2o2bo$403bo3bo$401b2o3bo$400b3o2bo4bo$399b3o2bo$398b4obo9bo2bo$
399bo2bo9bob4o$411bo2b3o$405bo4bo2b3o$409bo3b2o$397bo10bo3bo$396bobo8b
o2b2o14bo$395bo3bo8b4o14bo$394bo5bo7b3o15bo$393bo7bo5b3o$392bo9bo5bo$
368bo22bo11bo$367bobo20bo13bo$366bo3bo20bo11bo$365bo5bo20bo9bo$364bo7b
o20bo7bo$363bo9bo20bo5bo$362bo11bo20bo3bo$361bo13bo20bobo$362bo11bo22b
o$363bo9bo$364bo7bo$365bo5bo$366bo3bo$367bobo$368bo15$359bo17bo$358bob
o15bobo$357bo3bo13bo3bo$356bo3bo13bo5bo$355bo3bo13bo7bo$354bo3bo13bo9b
o$355bobo13bo11bo$356bo13bo13bo$363bo7bo11bo$362bobo7bo9bo$361bo3bo7bo
7bo$360bo4bo2bo5bo5bo$359bobo4bob2o5bo3bo16bo$358bo5bob6o4bobo17bo$
357bo6bo5b2o5bo18bo$358bobob9ob3o$359bob4obo3bo2bo$359b4ob2o4b3o$365bo
$375b3o$374bobobo$373bo2bo2bo$369bo3b7o$368bobo2bo2bo2bo$367b3obo2bobo
bo$366bob2o2bo2b3o63bo$367bo4bo46b3o18bobo$368bo3bo46bo2bo18b3o$369b3o
46b2o2bo21bo$417bo4b2o16bob3o$416b3o4b2o15bob2obo$417bo5bo16bo4b3o$
419bobo21bobobo$444b4o5$416bo$415bobo22bo$414bo3bo19b2obo$415bobo19b2o
3bo$416bo19bo2bo3bo$435b2o3bo3bo$435bobo3bo3bo$434bo3bo3bobo$329bo105b
o3bo3b2o$328bobo61bo43bo3bo2bo$327bo3bo59bobo25bobo15bo3b2o$326bo3bo
59bo3bo19bo2bo5bo14bob2o$325bo3bo59bo3bo4bobo13bo8b2o14bo$324bo3bo59bo
3bo4b3o7bo6bo7b2o$325bobo59bo3bo6b3o5bo12bo2bo7bo5bobo$326bo61bobo8bo
17bobo2bo6bobo4bobo$389bo26b2o2b2o5b2o3bo3bobo$410bo6b2o8bo3bo$381bo
30bo3bo2bo7b2obo$380b3o36bo9bo$366bo12b5o34bo$366bo11bob3obo32bo$366bo
11bo4bo5bo$376b3ob3o7bo$375bo6bo6bobo$378bob2o6bo2bo$378b3o7bo2bo$376b
4o8b3o$378b3o$379bo4$398b2o$399bo$398bo2$404bobo$403bobobo$402bo5bo$
401bo7bo$400bo9bo$399bo11bo$398bo13bo$399bo11bo$400bo9bo$401bo7bo$402b
o5bo$403bo3bo$349bo54bobo$348bobo54bo$347bo3bo$346bo5bo$345bo7bo$299bo
44bo9bo$298bobo42bo11bo$297bo3bo40bo13bo$296bo3bo42bo11bo$295bo3bo44bo
9bo$294bo3bo46bo7bo36bo$295bobo48bo5bo36bobo$296bo50bo3bo36bo3bo$348bo
bo36bo5bo$349bo36bo7bo$385bo9bo$384bo11bo$383bo13bo$384bo11bo$385bo9bo
$386bo7bo$387bo5bo$388bo3bo$389bobo$390bo2$353b3o$352bobobo$351bo2bo2b
o$351b7o$351bo2bo2bo$352bo2b2o$355b2o2bo$354bo2bo2bo$338b3o13b7o$338bo
bo13bo2bo2bo$337b5o13bobobo$335b3o4bo13b3o$335bobo4b3o$335b3o4bobo$
337bo4b3o$338b5o$339bobo$339b3o3$319bo$318bobo$317bo3bo$316bo5bo$315bo
7bo$269bo44bo9bo$268bobo42bo11bo$267bo3bo40bo13bo$266bo3bo42bo11bo$
265bo3bo44bo9bo$264bo3bo46bo7bo$265bobo48bo5bo$266bo50bo3bo$318bobo$
319bo7$368bo$367b3o$368b3o$369bo$358bo$357b3obo3bo$358bob3obo6bo$357bo
bo2b5o4bo$355bo3b7o2bo$353b3obobo3b3o2bo$337bo14bo2bo7bob4ob3o6bo$336b
obo14bo2bo3b4o2bo3bobo5bobo$335bob3o14bo2bob2o6b4obo8bo$334bo3bobo14bo
2b5o5bo2b2o7bo$333bob3o3bo14bo11b3o3b2o2b2o$334bob2o2b3o29b2o2b2o$335b
obo3bo30b5o$325bo14bo29bo3b3o$324bobo9bob2o31b2o2bo$323bo3bo8b5o5bo25b
4o$322bo3bo11bobo4b3o25bo$321bo3bo15b2obobobo$320bo3bo14bo2b2o5bo13bo$
321bobo4bo12b3o4b3o11bobo$322bo3bo3b2o10bo2b3obobo9bo3bo$289bo34b3obo
2bo10b2o2b2o2bo9b2o2bo$288bobo35bo3b3o12bobobo11bobo$287bo3bo38b2o2bo
11bobo13bo$286bo5bo34bobob2o14bo$285bo7bo32b3o4bobo14bo$239bo44bo9bo
32bo5b5o11bo$238bobo42bo11bo38b2obo10bo$237bo3bo40bo13bo36bo13bobo$
236bo3bo42bo11bo36bo3bobo7bo3b2o$235bo3bo44bo9bo36b3o2b2obo5bo4bo$234b
o3bo46bo7bo38bo3b3obo3bo$235bobo48bo5bo27b3o10bobo3bo3bobo3bobo$236bo
50bo3bo27bo3bo10b3obo3bo3b2o3bo$288bobo28bobobo11bobo8bo2b5o2bo$289bo
27bo5bo12bo14bo3b2o3bo$316bobob3o28bobo3bobo$315b3obo38bo$314b3ob2o9bo
22bo4bo$315bo3b2o3bo3bobo20b2o3bo$316bo2b2o2b3obobobo6bo14bobo$319bo2b
ob3ob2o2bo4bobo14bo$318bob2ob3o2b2o6bo3bo12bo$317bo4bobobo2bobo3bo5bo
10bo$317bo3b5o3b2o3bo7bo$317bo4b2o9bo9bo$324bo7bo11bo17b3o$325bo2bo2bo
13bo16bo2bo$325bo3bo2bo11bo17bo3bo$326bobo4bo9bo19b5o$327bo6bo7bo22b2o
bo$335bo5bo24bo2bo$336bo3bo25bo2bo$282bo54bobo27b3o$281bobo54bo$280bo
3bo$279bo5bo$278bo7bo$277bo9bo$276bo11bo$275bo13bo$276bo11bo$277bo9bo$
278bo7bo36bo$279bo5bo36bobo$280bo3bo36bo3bo$281bobo36bo5bo$282bo36bo7b
o$318bo9bo$317bo11bo$316bo13bo$317bo11bo$209bo108bo9bo$208bobo108bo7bo
$207bo3bo108bo5bo$206bo3bo57bo10bo41bo3bo$205bo3bo57bobo8bobo41bobo$
204bo3bo57bo3b2o5bo3bo41bo$205bobo57bo4bobo3bo5bo$206bo57bo5b2o3bo7bo$
241bo27b3o12bo$240bobo27b2o2bo10bo$239bob3o26b6o10bo$240b3obo5b3o4bo
15bo2bo8bo$241bobo6bobo3bobo12b3o3bo6bo$242bo6b4o4bo5b3o10b2o5bo$248b
2o12bo2b2o9bo5bo$249b3obo8bobob4obo5bo3bo25bobo$250b3o9bobo3bob3o5bobo
25bobobo$251bo5bo6bob3o2bo7bo25bo5bo$261bo2b3o29bo7bo7bo$261bo22bo5b3o
b5o4bo9bo$261bobo20bo6b2obobobo3bo11bo$257bo33b2ob3obo2bo13bo$256b3o
27bobo2b2ob4o4bo11bo$255b2ob2o21bo13bo7bo9bo$254b2o3b2o24bobo16bo7bo$
255b2ob2o24bo2bo17bo5bo$256b3o47bo3bo$252bo4bo25bobo21bobo$251bobo30bo
3bo19bo$250bo3bo30b2o$249bo5bo28b3o2bo$248bo7bo28b4o$202bo20bo23bo9bo
28bo$201bobo18b3o21bo11bo$200bob3o15b3ob2o19bo13bo$200b2obobo14b3o2b2o
19bo11bo$204bobo12b5o23bo9bo$204bob2o12bo27bo7bo$206b3o11b3o26bo5bo$
204bob2o42bo3bo$194b3o4bo3b2o44bobo$193bo4bobobo49bo$192bo6b3obo21b3o$
192bo2bo4b3o21bobobo$192b3o2bo3bo21bo2bo2bo$194bobob3o22b7o$179bo15b2o
bobo22bo2bo2bo$178bobo14bo2b2o24bobobo$177bo3bo13b2obob2o23b3o$176bo3b
o13bo7bo18b3o$175bo3bo14bo3bo3bo17bo3bo$174bo3bo14b2ob2ob2ob2o18b2obo$
175bobo14bo2b2obob2o2bo14bobo2b2o$176bo14bo13bo16bo3bo$192bo11bo15bo2b
o3b2o$193bo9bo12bo2bo4bo2bobo$194bo7bo11bo3bo6bo2bobo$180bo14bo5bo11bo
2bo5bo3bobobo$179b3o14bo3bo12bobobo3bo5bo2bo$180b2o15bobo13bobo2bo6bo
3bo$174bo5b3o15bo15bobo2bo2bobo2bo$173bob5o3bo31b2o3bo3bo$163bo8bo3bob
o4b3o31bo4bobo$162b3o6bo3b5obo13bobo20bo4b2o$161b5o4bo3bo5b2o3bo9bobo
22b2obo$160bobobobo2bo3bo9bo2bo9b2obo12bo9bo$160b2obo2bo3bobo12bo9b4ob
o10bobo$159b4o3b2o3bo12bo9bob2o3bo8bo3bo$158bobo3b3o16bo10bo4b4o6b2o2b
o$158b6obo6bo6bo3bo10bobobob4o6bobo$157bob2o10b3o6bobo12bo2b3obo8bo$
156bo13bob3o6bo14bobob2o$154b3o12bo3b4o20bo2bo$154bo15bobo4bo20b3o$
154bobo12b2o4b4o$157bo10b2o7b3o$158bo9b7ob5o$157bobo15b3o$156bo2b2o13b
o$155bob2obo13bobo$155bo3bo14bo$155b6o5bo$157bob7o$158bobo3bo$159b2o3b
o$160bo2bo$160b3o2$186bobo$185bobobo$184bo5bo$183bo7bo$149bo32bo9bo$
148bobo30bo11bo$147bo3bo28bo13bo$146bo3bo30bo11bo$145bo3bo32bo9bo$144b
o3bo34bo7bo$145bobo36bo5bo$146bo38bo3bo$131bo54bobo$130bobo54bo$129bo
3bo$128bo5bo$127bo7bo$126bo9bo$125bo11bo$124bo13bo$125bo11bo$126bo9bo$
127bo7bo36bo$128bo5bo36bobo$129bo3bo36bo3bo$130bobo36bo5bo$131bo36bo7b
o$167bo9bo$166bo11bo$165bo13bo$166bo11bo$167bo9bo$168bo7bo$169bo5bo$
170bo3bo$171bobo$172bo10$156bobo$155bobobo$154bo5bo$153bo7bo$152bo9bo$
151bo11bo$150bo13bo$151bo11bo$152bo9bo$153bo7bo$154bo5bo$155bo3bo$101b
o54bobo$100bobo54bo$99bo3bo$98bo5bo$97bo7bo$96bo9bo$95bo11bo$94bo13bo$
95bo11bo$96bo9bo$97bo7bo$98bo5bo$99bo3bo$100bobo$101bo32$71bo$70bobo$
69bo3bo$68bo5bo$67bo7bo$66bo9bo$65bo11bo$64bo13bo46bo$65bo11bo46b3o$
66bo9bo46b5o$67bo7bo46b3ob3o$68bo5bo32bo2bo12bo3bo$69bo3bo35bo14bobo$
70bobo35b2obobo11bo$71bo40bobo$111bo3bo$112b3obo12bo$111bobobo12bobo$
114bo12bo3bo$93bo31b2o5bo$92bobo29bo2bo5bo$91bob3o6b2o3bo15bobo2bo5bo$
92b2o14bo14b3o2b3o4bo$93bobo4bo3bo2bo16b2o3b2o5bo$100bo2b4o16bob4ob2o
3bo$100bobo2bo18b3ob2o2bobo$100bobo22bo3b2o2bo$100bo23b3o4bobo$124bo2b
o2b3o$123b3obobobo$122bob2o4bo$123b2ob2o$82bo45bobo2b3o$81b3o45bo2bo3b
o$80b5o20bo7b3o13bo2bo3b2o$66bo12b4obo13bo5bo7bo3bo12bo2bo3bobo$65b3o
11b5ob2o12bo3bo7bobo3bo14b2o3bo$64b2o2bo9b3obo2bobo12bobo9b2o4bobo9bo
3b3o$63bo5bo9b2o2bobob2o12bo11bo3bobo$63b3o2bobo9b2o4bob2o24b3o$61b2o
2b3obo5bo7b2obobo$60bob2o2b3o5bo7b3ob2o$61b2o8bobo2bobo4bo2bo13b4o$63b
o5b2o5bobo5b3o9bo3bo14bo$62bo5bo3bob4o22b2o12bobo$61bo6b3ob5o18bo2bo2b
obo4bo3b2o3bo$41bo17b2o8bo6bo15b5obo3bo4bob2o5bo$40bobo16bobo2bo5bo2bo
b3o15b5o3bo7b2ob2obo$39bo3bo15bo2bobobo2b2o4b2o17b4o4bo6bo4bo$38bo5bo
15bobob2o3bo2b7o16bo6bo5bo$37bo7bo15b3o2bobo3b3obo19bo6b3obo$36bo9bo
13b3o4bo5b3o27bo2bo$35bo11bo11bo3bo10bo27b3obo$34bo13bo15bo37bo2bo$35b
o11bo12b3o41bo$36bo9bo15bo2bo$37bo7bo9b2o3bo$38bo5bo9bobo2bo3bo$39bo3b
o9bob2o$40bobo11bo8bo$41bo13bo2bo$56bobo3bo5bo$57b2o2b3o2b4o$59bobobob
o2bo$60bobo4bo$60bob2o2bo$61bo2bo24bobo$62b4o22bobobo$64bo22bo5bo$86bo
7bo$85bo9bo$84bo11bo$83bo13bo$84bo11bo$85bo9bo$86bo7bo$87bo5bo$88bo3bo
$34bo54bobo$33bobo54bo$32bo3bo$31bo5bo$30bo7bo$29bo9bo$28bo11bo$27bo
13bo$28bo11bo$29bo9bo$30bo7bo36bo$31bo5bo36bobo$32bo3bo36bo3bo$33bobo
36bo5bo$34bo36bo7bo$70bo9bo$69bo11bo$68bo13bo$69bo11bo$70bo9bo$71bo7bo
$72bo5bo$73bo3bo$27bo46bobo$26bobo46bo$14bo9b2o3bo$13bobo9bo4bo$12bo
11b2o5bo$11bo14bo5bo$10bo13b2obo5bo$9bo13b2obobo5bo$10bo22bo$18bo2bobo
8bo$18bo3bobo6bo$16b3o3b3o5bo$25bo3bo$26bobo$27bo5$9bo$8b3o$10b2o$10bo
$9bo$8b3o$3b9o$2bo3bobo$b3obo$ob2ob3o$o7bo$ob2ob2obo$b3ob3o$2bo3bo$3b
3o!

I think this is optimal (minpop 2500):

Code: Select all

x = 675, y = 485, rule = B3air4aceirwz567/S2-a3-aejr4cknqy5ejky8
7bo$6bobo$5bo3bo$4bo5bo$3bo7bo$2bo9bo$bo11bo$o13bo$bo11bo$2bo9bo$3bo7b
o$4bo5bo$5bo3bo$6bobo14bo$7bo14b4o$21bobo2bo$20bob4obo$19bob4obo$17b3o
4b3obo$16bo2bo2b5obo$16bo2b8ob2o5bo$16bo2bo2b5obo5bobo$17b3o4b3obo4bo
3bo$19bob4obo5bo3bo$20bob4obo3bo3bo$21bobo2bo5bobo$22b4o7bo$23bo7bo$
30bobo$29bo3bo$28bo5bo18bo$27bo7bo16bobo$13b3o10bo9bo14bo3bo$12bobobo
8bo11bo12bo5bo$11bo2bo2bo6bo13bo10bo7bo$11b7o7bo11bo10bo9bo$11bo2bo2bo
8bo9bo10bo11bo$12bobobo10bo7bo10bo13bo24bo$13b3o12bo5bo12bo11bo24bobo$
29bo3bo14bo9bo24bo3bo$19bo10bobo16bo7bo24bo5bo$18b3o10bo18bo5bo24bo7bo
$16b7o28bo3bo24bo9bo$16bo2bo2bo29bobo24bo11bo$15b2o2bo2b2o29bo24bo13bo
$14b11o54bo11bo$15b2o2bo2b2o56bo9bo$16bo2bo2bo58bo7bo$16b7o59bo5bo$18b
3o62bo3bo$19bo64bobo$85bo5$20bo$19bobo$18bo3bo$17bo5bo$16bo7bo47bo$15b
o9bo45bobo$14bo11bo43bo3bo$13bo11bo45bo3bo$14bo11bo45bo3bo$15bo9bo47bo
3bo$16bo7bo49bobo$17bo5bo51bo55bo$18bo3bo107bobo$19bobo54bo52bo3bo$20b
o48bobo3bobo50bo5bo$43bo24b2obo2bobobo48bo7bo$42bobo22bo2b4obobo48bo9b
o$41bo3bo22bo2b4obo48bo11bo$40bo5bo22bo2b2obo48bo13bo$39bo7bo22bo3bo
50bo11bo$38bo9bo22bobo52bo9bo$37bo11bo22bo54bo7bo$36bo13bo77bo5bo$37bo
11bo79bo3bo$38bo9bo81bobo$39bo7bo83bo$40bo5bo$41bo3bo38bo$42bobo38b3o$
43bo38bobobo7bo$74bo6bo5bo5b3o$69bo4bo5bobobobobo3b3obo$67b4o3bo4bo4bo
4b3o5bo$66bo2b3o6b3ob5obo3b2obob3o$66bobobo8bo4bo4b3o2bo5bo$66b2obo10b
obobobobo5b3ob2obo$68bo12bo5bo11bo2bo$82bobobo6bo3bobobobo$83b3o7b2o2b
o3b2o$84bo8bo3bo3bo$98b3o$177bo$176bobo$175bo3bo$69bo104bo5bo$68b3o
102bo7bo$67bo3bo100bo9bo$68bo3bo98bo11bo$69bobo98bo13bo$70bo100bo11bo$
79bo92bo9bo$78b3o92bo7bo$77b5o92bo5bo$71bo4bo4bo93bo3bo$69b4o2bob4obo
93bobo$71b2ob2ob2o4b2o92bo$73b3obo4bob2o15bo$74b2obo4bob3o13bobo$75b2o
4b2ob2o13b3obo$77bob4obo13bo3bo103bo$78bo4bo7b3o113bo$78b5o8bobo93bo
20bo$79b3o9b3o92bobo11bo8b2o$80bo104bo3bo9bobo6b2o$186bo3bo6b4obo4b2o
2bobo$187bo3bo4bo2bo2bo3b3o3bobo$188bo3bo3bo2bo2bo3bob2o3b3o$144bo44bo
bo4bo2bo2bo3bob2o2b3o$143bobo43bo7b6o2bo3bo3bo$142bo3bo44bo7b2o6b2ob3o
$141bo5bo43bo13bobo2bo$140bo7bo40bo5b3o5b3ob3o13bo$139bo9bo32b3o10bo7b
o3bobo12bobo$138bo11bo31bo3bo8bobo5bo2bo14bo3bo$137bo11bo30bo2b2o2bo
16bobobo11bo5bo$138bo11bo28bobo3bo19b3o11bo7bo$139bo9bo28bo3b2o34bo9bo
$140bo7bo30bob2o34bo11bo$141bo5bo32b4o32bo13bo$142bo3bo33bo3bo5bobo24b
o11bo$143bobo35b3obo32bo9bo$144bo37bobo6b2o26bo7bo$183bo36bo5bo$184b4o
33bo3bo$183bo3bo34bobo$164bo18bo2b3o34bo$163bo19bo$162bo21b2o$161bo$
160bo$161bo$162bo70bo$163bo68bobo$164bo66bo3bo$165bo66bo3bo$233bo3bo$
234bo3bo$190bo44bobo$189bobo44bo$188bo3bo$187bo5bo$186bo7bo47bo$185bo
9bo45bobo$184bo11bo43bo3bo$183bo11bo45bo3bo$184bo11bo45bo3bo$185bo9bo
47bo3bo$186bo7bo49bobo$187bo5bo51bo$188bo3bo$189bobo$190bo52bo$213bo
28b3o$212bobo26b3o$211bo3bo26bobo$210bo5bo$209bo7bo$208bo9bo$207bo11bo
$206bo13bo$207bo11bo22bo$208bo9bo24bo35bo$209bo7bo60bobo$210bo5bo60bo
3bo$211bo3bo23bo38bo3bo$212bobo64bo3bo$213bo24bo41bo3bo$281bobo$243b3o
8bo27bo$253bobo$238bobo11bo3bo7bo$235bo3b3o3bo7bobo7b3o$236bo2bo14bo9b
obo$237b2o2b2o3bo15bo3b3o$240bo27bo$240bo5bo15bo5bo$241b3o21b3o$243b3o
17b3o$244bo19bo3$238b3o$238bobo$237bo3bo$238bo3bo$239bobo$240bo2$249bo
$248bob2o$240b3o4bo3b2o$246bo3bo2bo71bo$240b3o2bo3bo3b2o69bobo$244bo3b
o3bobo68bo3bo$245bobo3bo3bo7b3o2bo55bo3bo$245b2o3bo3bo12bobo55bo3bo$
246bo2bo3bo10b2ob2o57bo3bo$247b2o3bo9bob2obo59bobo$248b2obo9bo3b2o61bo
$250bo10b4o$261bobo$261b3o20$371bo$370bobo$369bo3bo$370bo3bo$371bo3bo$
372bo3bo$373bobo$374bo4$296bo$295bobo$294bo3bo$293bo5bo$292bo7bo$291bo
9bo$290bo11bo$289bo13bo$290bo11bo$291bo9bo$292bo7bo$293bo5bo$294bo3bo$
295bobo$296bo3$311b3o$310bo2bo$309bo3b2o102bo$309bo2b2obo8bo91bobo$
309bo3b2o8bobo89bo3bo$310bo2bo8bo3bo89bo3bo$311b3o7bo3bo91bo3bo$320bo
3bo93bo3bo$321bobo95bobo$322bo97bo$320bo$319bobo$318bo3bo$317bo5bo18bo
$316bo7bo16bobo$315bo9bo14bo3bo$314bo11bo12bo5bo$304bo8bo13bo10bo7bo$
303bo10bo11bo10bo9bo$302bob2o9bo9bo10bo11bo$302bobo2bo8bo7bo10bo13bo
24bo$302bo3bo10bo5bo12bo11bo24bobo$304bo13bo3bo14bo9bo24bo3bo$319bobo
16bo7bo24bo5bo$320bo18bo5bo24bo7bo$340bo3bo24bo9bo$341bobo24bo11bo$
283bo24bobo31bo24bo13bo$282bo24b3o58bo11bo$281bo26bo60bo9bo$280bo89bo
7bo$279bo91bo5bo$280bo91bo3bo86bo$281bo91bobo86bobo$282bo91bo86bo3bo$
283bo178bo3bo$284bo178bo3bo$464bo3bo$465bobo$309bo156bo$308bobo$307bo
3bo$306bo5bo$305bo7bo47bo$304bo9bo45bobo$303bo11bo43bo3bo$302bo11bo45b
o3bo$303bo11bo45bo3bo$304bo9bo47bo3bo$305bo7bo49bobo$306bo5bo51bo55bo$
307bo3bo107bobo$308bobo107bo3bo$309bo52bo54bo5bo$332bo28b3o52bo7bo$
331bobo26b3o52bo9bo$330bo3bo26bobo50bo11bo$329bo5bo77bo13bo$328bo7bo
77bo11bo$327bo9bo77bo9bo$326bo11bo77bo7bo$325bo13bo77bo5bo$326bo11bo
22bo56bo3bo86bo$327bo9bo24bo56bobo86bobo$328bo7bo83bo86bo3bo$329bo5bo
172bo3bo$330bo3bo23bo150bo3bo$331bobo176bo3bo$332bo24bo153bobo$512bo
23bo$362b3o8bo161bobo$372bobo159bo3bo$357bobo11bo3bo7bo149bo5bo$354bo
3b3o3bo7bobo7b3o51bo95bo7bo$355bo2bo14bo9bobo50bo94bo9bo$356b2o2b2o3bo
15bo3b3o48bo93bo11bo$359bo27bo141bo13bo$359bo5bo15bo5bo142bo11bo$360b
3o21b3o144bo9bo$362b3o17b3o147bo7bo$363bo19bo82bo26bo39bo5bo$465bobo
23b5o31b3o4bo3bo$464bo3bo21bob4o30bo2bo5bobo$357b3o103bo5bo21bobob3o
27b6o5bo$357bobo68bo33bo7bo24bobo26b4o3b2o$356bo3bo66bo33bo9bo8b3o6bo
5b3o25bob4obo2bo$357bo3bo64bob2o30bo11bo15bob6o27bobobo2bo3bo$358bobo
65bobo2bo27bo13bo13b2o3bobo28b3o8bo$359bo66bo3bo29bo11bo13b3o3b3o30bob
2obob3o$428bo32bo9bo15bo38bo5bo$368bo93bo7bo55bo3b2o$367bob2o92bo5bo
60bo6b3o$359b3o4bo3b2o92bo3bo58bobobo5bo2bo14bo$365bo3bo2bo92bobo59bo
2bo5b2o3bo12bobo$359b3o2bo3bo3b2o33bo24bobo31bo63b2obobo5bo11bo3bo$
363bo3bo3bobo32bo24b3o94bo2b2ob2obob2obo11bo3bo$364bobo3bo3bo7b3o2bo
17bo26bo91bo8bo8b3o10bo3bo$364b2o3bo3bo12bobo15bo118bo2bobobo6bo2bobob
o11bo3bo$365bo2bo3bo10b2ob2o15bo118bo4bo4b2o3bob4obo12bobo$366b2o3bo9b
ob2obo17bo118bo4bo6b2o3b4o14bo23bo$367b2obo9bo3b2o19bo118bo12b6o38bobo
$369bo10b4o22bo118bo3bo8bo2bo38bo3bo$380bobo24bo118bobo9b3o38bo5bo$
380b3o25bo92bo25bo50bo7bo$501bo75bo9bo$501bo74bo11bo$433bo141bo13bo$
432bobo141bo11bo$431bo3bo117bo23bo9bo$430bo5bo115bobo23bo7bo$429bo7bo
47bo65bo3bo23bo5bo$428bo9bo45bobo63bo5bo23bo3bo$427bo11bo43bo3bo61bo7b
o23bobo$426bo11bo45bo3bo59bo9bo23bo$427bo11bo45bo3bo57bo11bo$428bo9bo
47bo3bo44b3o8bo13bo$429bo7bo49bobo57bo11bo$430bo5bo51bo59bo9bo$431bo3b
o113bo7bo$432bobo115bo5bo$433bo52bo64bo3bo$456bo28b3o64bobo50bo$455bob
o26b3o66bo41bo8b3o$454bo3bo26bobo106b3o6b5o$453bo5bo132b7o3b3ob3o$452b
o7bo131bo2bo2bo4b6o$451bo9bo129b2o2bo2b2o4b4o$450bo11bo127b11o4b2o$
449bo13bo127b2o2bo2b2o$450bo11bo22bo106bo2bo2bo29bo$451bo9bo24bo105b7o
28bobo$452bo7bo133b3o29bo3bo$453bo5bo135bo29bo5bo$454bo3bo23bo64bo40bo
35bo7bo$455bobo89bo39bo35bo9bo$456bo24bo65bo38bo35bo11bo$585bobo6b3o
24bo13bo$486b3o8bo88bobo8bo24bo11bo$496bobo88bo6bo28bo9bo$481bobo11bo
3bo7bo85b4obo25bo7bo$478bo3b3o3bo7bobo7b3o85bobobo26bo5bo$479bo2bo14bo
9bobo85bobo28bo3bo$480b2o2b2o3bo15bo3b3o77bo6bo30bobo$483bo27bo57bo18b
2o38bo$483bo5bo15bo5bo56bo18bob2o$484b3o21b3o56bo$486b3o17b3o57bo$487b
o19bo57bo$566bo$567bo$481b3o84bo$481bobo85bo$480bo3bo85bo$481bo3bo$
482bobo$483bo111bo$594bobo$492bo100bo3bo$491bob2o97bo5bo$483b3o4bo3b2o
95bo7bo47bo$489bo3bo2bo93bo9bo45bobo$483b3o2bo3bo3b2o91bo11bo43bo3bo$
487bo3bo3bobo90bo11bo45bo3bo$488bobo3bo3bo7b3o2bo77bo11bo45bo3bo$488b
2o3bo3bo12bobo77bo9bo47bo3bo$489bo2bo3bo10b2ob2o79bo7bo49bobo$490b2o3b
o9bob2obo81bo5bo51bo$491b2obo9bo3b2o83bo3bo$493bo10b4o86bobo$504bobo
88bo52bo$504b3o111bo28b3o$617bobo26b3o$616bo3bo26bobo$615bo5bo$614bo7b
o$613bo9bo$612bo11bo$611bo13bo$612bo11bo22bo$613bo9bo24bo$614bo7bo$
615bo5bo$616bo3bo23bo$617bobo$618bo24bo2$648b3o8bo$658bobo$643bobo11bo
3bo7bo$640bo3b3o3bo7bobo7b3o$641bo2bo14bo9bobo$642b2o2b2o3bo15bo3b3o$
645bo27bo$645bo5bo15bo5bo$646b3o21b3o$648b3o17b3o$649bo19bo3$643b3o$
643bobo$642bo3bo$643bo3bo$644bobo$645bo2$654bo$653bob2o$645b3o4bo3b2o$
651bo3bo2bo$645b3o2bo3bo3b2o$649bo3bo3bobo$650bobo3bo3bo7b3o2bo$650b2o
3bo3bo12bobo$651bo2bo3bo10b2ob2o$652b2o3bo9bob2obo$653b2obo9bo3b2o$
655bo10b4o$666bobo$666b3o!

[b-engine]

First rake and natural infinite growth in this particular rule I rulegolfed a few months ago:

Code: Select all

x = 16, y = 16, rule = B2ek3cijy4cintyz5cej6i8/S1c2cek3n5e
o2b2ob2ob3obo$2b2o3b2ob2o3bo$b2ob3o5b3o$bob2obobo2b2ob2o$bobo2b2ob4ob
o$bo3b2o2bo2bo2bo$3obobob3o2bo$b2o3b3o2b2obo$6ob3ob2obo$2ob2o4b3o$2b2o
2b4o3b3o$bobo6bo2b2o$2o2bobobobobob2o$2ob2obo3bo2bobo$bo3b2o2bob2o2bo
$ob2o2b2ob4o!

Code: Select all

x = 23, y = 20, rule = B2ek3cijy4cintyz5cej6i8/S1c2cek3n5e
3ob3o6b2o$o5bo5bo2bo$bo3bo7b3o$2b3o7bo3bo$15bo$14bo9$15b2ob2o$12bo4bo
4bo$13bo7bo$13bo7bo$14b2o3b2o$16b3o!

So far this is the only oscillator:

Code: Select all

x = 5, y = 5, rule = B2ek3cijy4cintyz5cej6i8/S1c2cek3n5e
b2o$3b2o$obo$3b2o$b2o!

First diagonal spaceship, c/3:

Code: Select all

x = 5, y = 5, rule = B2ek3cijy4cintyz5cej6i8/S1c2cek3n5e
2obo$2o$obobo$bob2o$2b3o!

Conjecture: no still life can exist in this rule. Help me prove this.

[Katrina]

Massive 3c/5 rake from a while ago, cross-posted from Discord:

Code: Select all

x = 53, y = 75, rule = B23r/S
23b3ob3o$23bo5bo$24bo3bo$15bo2b2o2bo7bo2b2o2bo$19bo3b2o3b2o3bo$15bo3bo
3bobobobo3bo3bo$13bo2bobo6bobo6bobo2bo$15bo2bo15bo2bo$10bo8bo13bo8bo$
24bo3bo$9bob2o27b2obo$11b2o8bo9bo8b2o$10bobo5bo15bo5bobo3$11bo29bo$5bo
b3o2bo27bo2b3obo$4bo3bobobo27bobobo3bo$4bo4b4o27b4o4bo$4bo8bo25bo8bo$
5bo2b2o2bo27bo2b2o2bo$7bobo33bobo$7bobo33bobo2$6bobo35bobo2$5b2ob2o33b
2ob2o$5bo3bo33bo3bo2$bo3bo3bo33bo3bo3bo$o51bo2$2bo3bo39bo3bo$bo4bo39bo
4bo$7bo37bo$7bo37bo$6b2o37b2o$7bo2b3o27b3o2bo$10bo31bo$4bob2obo33bob2o
bo$3bo45bo$3bo45bo$4bo43bo$2bo2bo2bo35bo2bo2bo$bo9bo29bo9bo$bobo3b3obo
29bob3o3bobo$bo7bobo29bobo7bo$o4b2o2bo33bo2b2o4bo$7bo3bo2bo23bo2bo3bo$
12b2o25b2o$8bo2bo29bo2bo$8bo3bo27bo3bo$9bo2bo27bo2bo$9bo3bo25bo3bo2$9b
o3bo25bo3bo2$9b2o31b2o$8bo5bo23bo5bo$5b2ob3o31b3ob2o$9b2obo27bob2o$10b
o31bo$15bo21bo$4bo3bo35bo3bo$5b6obo27bob6o$9bo33bo$9bo33bo$8bo35bo$5bo
4bo2b2o23b2o2bo4bo3$9bo3bo3bo17bo3bo3bo2$17b2o15b2o$12bo27bo!

[Katrina]

Best way I can describe this 2c/500o is "unstable version of B23/S2V that can move its bounding box".

Code: Select all

x = 9, y = 7, rule = B2eik3-cnqy4q5ak6en7/S2-c3ejkqy4ejz5inqy6-n7c
obobobobo2$o7bo2$o5bobo2$obobobobo!

[rabbit]

This linear growth in B3-ry4ry/S23 is a highly trivial combination of a 2c/4 spaceship and a 22c/45 puffer. Although I've seen cases where a spaceship of the same speed but different period results in the detection of a new linear growth pattern that trails behind it, this is a rare example where the composing objects are of different speeds.

Code: Select all

x = 16, y = 16, rule = B3-ry4ry/S23
7ob3o2b3o$4ob3obob3obo$bob5obob3obo$2o2b2o4b6o$o5b2obobo2bo$2ob4ob2o2b
2o$obob2o2bobobobo$bo2bo3b6o$o2bo5b2o2bo$2bob4obobob2o$4bobob2ob2o$bo
5b8o$4b2ob4o3bo$obo3bo2b3ob3o$3o2bob2ob2o2b2o$obobob2o4b2o!

The rule also contains 2c/4 (XWSS), 22c/45, several natural 15c/43, and 4c/80 diagonal spaceship:

Code: Select all

x = 38, y = 87, rule = B3-ry4ry/S23
3o$2bo$obo$2o2$2o$obo$2bo$3o8$9bo5bo$6o2bo6b2o$bo2b2o10b2o$2bo2bo3bo4b
obo$2bo2bo8b2o$3b3o6bo$12b2o12$12b2o$3b3o6bo$2bo2bo8b2o$2bo2bo3bo4bobo
$bo2b2o10b2o$6o2bo6b2o$9bo5bo9$bo17bo$b2o16b2o14b3o$o2bo14bo2bo15bo$3o
15b3o14bobo$2o16b2o15b2o5$2o33b2o$3o11b5o16bobo$o2bo10b2o2bo18bo$b2o
12bo2bo16b3o$bo13bobo18$6bo$5bobo$2o3bobo$2o4bo$2o$o$o!

The glider is nowhere to be found due to the presence of B4r

[WhiteHawk]

This linear growth in B3-ry4ry/S23 is a highly trivial combination of a 2c/4 spaceship and a 22c/45 puffer. Although I've seen cases where a spaceship of the same speed but different period results in the detection of a new linear growth pattern that trails behind it, this is a rare example where the composing objects are of different speeds.

Code: Select all

The rule also contains 2c/4 (XWSS), 22c/45, several natural 15c/43, and 4c/80 diagonal spaceship:

Code: Select all

The glider is nowhere to be found due to the presence of B4r

P72 oscillator

Code: Select all

x = 8, y = 12, rule = B3-ry4ry/S23
3b2ob2o$2bo$7bo$2b2ob2o5$3o$3o$3o$3o!

[WhiteHawk]

Pretty cool p24 oscillator in B36/S23-e4q, two transitions away from tHighLife

Code: Select all

x = 6, y = 5, rule = B36/S23-e4q
2b2o$b4o$o3b2o$b4o$2b2o!

Question is - can it be gunned?

EDIT: Almost 1g seed for canoe bridge canoe, which is especially common here, though with extra block and glider

Code: Select all

x = 23, y = 14, rule = B36/S23-e4q
21bo$21bo$3bo17bo$2bo$2b3o$9bo11b2o$8bobo10b2o$8bo2bo$9b2o2$bo$obo$ob
o$bo!

EDIT 2: There is a 2g synthesis

Code: Select all

x = 9, y = 11, rule = B36/S23-e4q
7bo$6bo$6b3o6$3o$2bo$bo!

Some other 2g syntheses

Code: Select all

x = 89, y = 15, rule = B36/S23-e4q
29bo$28bo$bo26b3o54bo$o49bo16bo16bo$3o46bo16bo17b3o$49b3o14b3o5$2bo$b
2o9b2o22b3o28bo$bobo9b2o23bo27b2o18b2o$12bo24bo28bobo17bobo$86bo!

clean gliders

Code: Select all

x = 32, y = 14, rule = B36/S23-e4q
7bo22bo$6bo22bo$6b3o20b3o9$b2o17b2o$obo18b2o$2bo17bo!

Lastly, some methusalehs

Code: Select all

x = 5, y = 12, rule = B36/S23-e4q
bo$2bo$3o7$3bo$3b2o$2bobo!

Code: Select all

x = 5, y = 10, rule = B36/S23-e4q
bo$o$3o5$2b3o$2bo$3bo!

And the biggest one (No clean p24 synth, but this one gives three)

Code: Select all

x = 7, y = 11, rule = B36/S23-e4q
5bo$4bo$4b3o6$bo$2o$obo!

[hibiscus]

p16 in Bugsmovie:

Code: Select all

x = 39, y = 51, rule = R10,C2,M1,S123..212,B123..170,NM
b8o21b8o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$
11o17b11o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$b8o21b8o24$
b8o21b8o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$
11o17b11o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$11o17b11o$b8o21b8o!

I don't believe it's a known oscillator.

[hotcrystal0]

B3-j4ek5aeikr/S2-c3-c4iq5e68 seems to be a pretty interesting rule. To start, here’s a P8 and spaceships of speeds 2c/4o, c/4d, 3c/14d, and 2c/16d:

Code: Select all

x = 45, y = 15, rule = B3-j4ek5aeikr/S2-c3-c4iq5e68
27bo13b3o$14b3o9b2o12bo3bo$16bo8bobo12bo2b2o$16bo8bo14b3o5$bo$2b2o$o$
3o$14bobo$13bob2o$14bobo!

P3, P2, P6, and P4:

Code: Select all

x = 26, y = 20, rule = B3-j4ek5aeikr/S2-c3-c4iq5e68
3b2o$2bobo12b2o$obo14bobo$2o17bo$18b2obo$20b2ob2o$5b2o16bobo$4bobo17b
2o$2bobo$obo$2o3$9b2o$8bobo$6bobo$4bobo$2bobo$obo$2o!

Unfortunately, the first three oscillators are not part of an infinite series of oscillators.

[CARuler]

b3s23-a5-e

ship:

Code: Select all

x = 5, y = 3, rule = B3/S23-a5-e
2bo$2ob2o$bobo!

[mmmmmmmmm]

ship:

Code: Select all

x = 5, y = 3, rule = B3/S23-a5-e
2bo$2ob2o$bobo!

Known, see

Also, it is from TTs.

[rabbit]

B2en3ei4i5r/S1c2cen3cjy4a5aq

p80 oscillator:

Code: Select all

x = 4, y = 4, rule = B2en3ei4i5r/S1c2cen3cjy4a5aq
bo$obo$bobo$2bo!

8c/48 sideways rake (leads to the rule being explosive):

Code: Select all

x = 6, y = 8, rule = B2en3ei4i5r/S1c2cen3cjy4a5aq
bo$obo$3bo$4bo$bo3bo$4bo$o2bo$2bo!

p936 gun:

Code: Select all

x = 19, y = 17, rule = B2en3ei4i5r/S1c2cen3cjy4a5aq
7bo$6bobo6bo$5bo3bo4bobo$4bo8bo3bo$7bo5bo4bo$15bo$17bo2$bo$obo$bobo$2b
o$7bo$8bobo$9bo$10bo$11bo!

Very high overunity:

Code: Select all

x = 43, y = 15, rule = B2en3ei4i5r/S1c2cen3cjy4a5aq
bo3bo$3bo$o5bo$bo3bo34bo$2bobo34bo2bo$3bo34bo$37bo3bo$38bo$16bo22bo2bo
$15bo2bo21bo$14bo$13bo3bo$14bo$15bo2bo$16bo!

Big smiley orthogonal spaceship to check mark converter:

Code: Select all

x = 20, y = 20, rule = B2en3ei4i5r/S1c2cen3cjy4a5aq
17bo$16bo2bo$15bo$14bo3bo$15bo$16bo2bo$17bo10$bo$obo$bobo$2bo!

Constructible spaceship potential:

Code: Select all

x = 200, y = 60, rule = B2en3ei4i5r/S1c2cen3cjy4a5aq
197bo$196bo2bo$195bo$194bo3bo$195bo$196bo2bo$197bo18$106b2o$105b3o$
104b4o$104b2o$104b4o$105b3o$106b2o18$16bo$15bo2bo$14bo$13bo3bo$14bo$
15bo2bo$16bo2$bo$obo$bobo$2bo!

EDIT: Different rule, strange sierpinski carpet:

Code: Select all

x = 3, y = 3, rule = B2-ak4enr/S1c2akn3c4aw5ai
o$bo$2bo!

[hotcrystal0]

A rule with a lightspeed dot puffer and the glider:

Code: Select all

x = 15, y = 3, rule = R2,C2,S0,6,36,52-63,85,87,B6,22,38,52-53,55-56,72,NW01010101010111111101011100110101111111010101010101
b3o8b3o$2ob2o9bo$13bo!

[rabbit]

A potentially new fractal in a rule with only four transitions:

Code: Select all

x = 2, y = 2, rule = B2ae4e/S4c
2o$bo!

It may seem chaotic at first, but it actually settles into predictable behaviour quite quickly if you run it for long enough. (run in HashLife for 1M+ generations, zoom into the origin)

EDIT: The next three seem more dubious, but vaguely self-similar. HashLife does not like them as much so there may be chaotic imperfections.

Code: Select all

x = 2, y = 2, rule = B2ae3y4e/S
2o$bo!

Code: Select all

x = 2, y = 2, rule = B2aek4e/S
2o$bo!

Code: Select all

x = 2, y = 2, rule = B2ae4ek/S
2o$bo!

[yyh_baboon]

strange-looking (2,1)/55 spaceship that seem to drag a barberpole:

Code: Select all

 x = 10, y = 6, rule = B2ckn3-nqr/S2-n3
3bo$b2o2bo2$o4bobo$b2o$7bobo!

[Resu]

Simple c/16o spaceship.

Code: Select all

x = 6, y = 3, rule = B38/S23-a5-y78
3o2bo$obo2bo$3o2bo!