HROT,NW (Higher-range outer-totalistic, weighted)

For discussion of other cellular automata.
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confocaloid
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by confocaloid »

confocaloid wrote: April 28th, 2025, 8:47 pm Six "gliders" (made out of dots) collide to settle into four non-photon "moons"; a gun should be easy since "glider" guns can be taken from CGoL: [...]
CARuler wrote: April 28th, 2025, 8:56 pm can a gun be made with sparkers?? [...]
It could be possible to make a moon gun by colliding sparks from "misaligned" p46 technology components, here are the components but I didn't find a gun so far:

Code: Select all

#C [[ GRID THEME MCell ]]
x = 122, y = 159, rule = R2,C0,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
18bobo$99bobo$20bo$65bobo31bo3bo15bobo$18bo$65bobo35bo15bobo$18bobo$
99bobobo3$4bobo2$6bo2$4bo$99bobobo$4bobo$65bobo35bo$20bobo$65bobo31bo
3bo$4bobo13bobo$99bobo$4bo3bo15bo2$6bo13bobo2$obobo15bobo2$o14$20bobo
2$12bobo5bobo2$10bo3bo2$10bo2$8bobo39$25bo80bo2$27bo76bo2$23bobobo76bo
bobo11$40bo50bo2$42bo46bo2$38bobobo46bobobo46$32bobobo58bobobo2$36bo
58bo2$34bo62bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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hotcrystal0
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by hotcrystal0 »

confocaloid wrote: April 28th, 2025, 8:47 pm Six "gliders" (made out of dots) collide to settle into four non-photon "moons"; a gun should be easy since "glider" guns can be taken from CGoL:

Code: Select all

#C [[ GRID THEME MCell ]]
x = 193, y = 78, rule = R2,C0,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
176bo2$174bobobobo2$140bobo29bobo3bo3bo7bobo2$124bo15bo5bo23bobobo3bo
5bo5bobo2$2bo80bo38bo7bobo15bo23bobo3bo3bo2$4bo76bo40bo11bo13bo25bobob
obo2$obobo76bobobo38bobobobobo15bo15bo11bo2$140bo5bo19bo2$140bobo19bob
obo7$17bo50bo2$19bo46bo2$15bobobo46bobobo46$9bobobo58bobobo2$13bo58bo
2$11bo62bo!
This can be reduced to just 4 “gliders”:

Code: Select all

x = 78, y = 62, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
2bo72bo2$4bo68bo2$obobo68bobobo53$13bobobo42bobobo2$17bo42bo2$15bo46b
o!
There's a lot you can do by just reassembling known components.
89 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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confocaloid
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by confocaloid »

hotcrystal0 wrote: May 3rd, 2025, 9:28 am
confocaloid wrote: April 28th, 2025, 8:47 pm Six "gliders" (made out of dots) collide to settle into four non-photon "moons"; a gun should be easy since "glider" guns can be taken from CGoL: [...]
This can be reduced to just 4 “gliders”: [...]
p36 moon gun

Code: Select all

#C [[ MAXGRIDSIZE 9 GRID THEME Catagolue ]]
x = 154, y = 142, rule = R2,C0,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
22bo108bo2$22bobobo100bobobo2$10bobo15bo96bo15bobo2$8bo5bo3bobobo5bo
96bo5bobobo3bo5bo2$6bo5bobo3bo5bo3bo3bobo41b2o41bobo3bo3bo5bo3bobo5bo$
75bo2bo$8bobo13bo3bo5bo84bo5bo3bo13bobo2$12bo3bobobo9bo92bo9bobobo3bo
2$12bo5bo7bobo25bobo40bobo25bobo7bo5bo2$14bo7bobo29bo44bo29bobo7bo2$8b
obobobo3bo9bobobo15bobo3bo44bo3bobo15bobobo9bo3bobobobo2$6bo9bo3bobobo
bobo5bo11bo5bo48bo5bo11bo5bobobobobo3bo9bo2$8bobobo5bo3bo9bo13bobobo
52bobobo13bo9bo3bo5bobobo2$12bo3bo9bobobo17bo56bo17bobobo9bo3bo2$14bob
o3bobo3bo19bobo3bo3bo40bo3bo3bobo19bo3bobo3bobo2$14bobobobobobo21bo3bo
3bobo40bobo3bo3bo21bobobobobobo2$2bobobo11bobobo23bo3bo52bo3bo23bobobo
11bobobo2$10bo35bobo3bobobobobo32bobobobobo3bobo35bo2$o9bo37bo5bo5bo
32bo5bo5bo37bo9bo2$8bo37bobobo52bobobo37bo2$2bobo13bobobo27bo3bobo40bo
bo3bo27bobobo13bobo2$2bo51bo44bo51bo2$2bo23bo27bo44bo27bo23bo2$2bo9bob
obo9bo3bobobo41b2o41bobobo3bo9bobobo9bo$75bo2bo$8bobobobobo9bo3bobobo
15bo52bo15bobobo3bo9bobobobobo2$52bo48bo2$18bobobo25bobobo48bobobo25bo
bobo2$2bobo144bobo2$2bo5bo136bo5bo2$4bobobo136bobobo4$obobobobobobo
128bobobobobobobo2$o5bo5bo128bo5bo5bo2$68bo16bo2$70bo12bo2$66bobobo12b
obobo2$14bo35bo52bo35bo$13bo35bo23bobo2bobo23bo35bo$13bo35bo54bo35bo$
14bo35bo24bo2bo24bo35bo6$5bo5bo5bo118bo5bo5bo2$5bobobobobobobo118bobob
obobobobo4$9bobobo126bobobo2$7bo5bo126bo5bo2$7bobo45bobobo34bobobo45bo
bo2$17bobobo3bobo31bo34bo31bobo3bobobo2$13bobobo3bo5bo5bobobo19bo38bo
19bobobo5bo5bo3bobobo2$23bobo7bobo3bo74bo3bobo7bobo2$31bo7bo74bo7bo$
75bo2bo$5bobobo21bo3bobo38b2o38bobo3bo21bobobo2$5bobo25bobobo21bo34bo
21bobobo25bobo2$7bobo13bobobo27bo3bobo30bobo3bo27bobobo13bobo2$7bo43bo
3bo3bobo30bobo3bo3bo43bo2$13bobo43bo5bo22bo5bo43bobo2$7bobo3bo37bo5bob
obobobo22bobobobobo5bo37bo3bobo2$9bo39bobo3bo42bo3bobo39bo2$9bo39bobo
3bo3bobo30bobo3bo3bobo39bo2$19bobobobobobobo19bo5bo3bo30bo3bo5bo19bobo
bobobobobo2$17bo3bo3bobo3bobobo82bobobo3bobo3bo3bo2$13bobobo5bo13bo13b
o3bo42bo3bo13bo13bo5bobobo2$11bo9bo3bobobobobo5bo11bo5bo38bo5bo11bo5bo
bobobobo3bo9bo2$13bobobobo3bo9bobobo15bobo3bo34bo3bobo15bobobo9bo3bobo
bobo2$19bo3bo5bo29bo34bo29bo5bo3bo2$17bo5bo3bobobobo25bobo30bobo25bobo
bobo3bo5bo2$17bobo7bo7bo82bo7bo7bobo2$13bobo5bo7bo3bo5bo74bo5bo3bo7bo
5bobo2$11bo5bobo3bo5bo3bo3bobo74bobo3bo3bo5bo3bobo5bo$75bo2bo$13bo5bo
3bobobo5bo42b2o42bo5bobobo3bo5bo2$15bobo15bo86bo15bobo2$27bobobo90bobo
bo2$27bo98bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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hotcrystal0
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by hotcrystal0 »

This rule supports the EightLife P23, pentadecathlon, and HWSS:

Code: Select all

x = 42, y = 18, rule = R3,C2,S34-67,140,B51-67,NW00000101010000000100000001000100111111000101001100110001010011111100010001000000010000000101010000
5bo6bo$4b2o6b2o$5b2o4b2o2$bo14bo12bo$3o12b3o11bo$2bo12bo12bobo$29bo6b
4o$29bo5b6o$29bo5b4ob2o$29bo9b2o$2bo12bo12bobo$3o12b3o11bo$bo14bo12bo
2$5b2o4b2o$4b2o6b2o$5bo6bo!
There's a lot you can do by just reassembling known components.
89 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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confocaloid
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by confocaloid »

The weighted neighbourhood (in decimal):

Code: Select all

-- --  1  1  1 -- --
--  1 -- -- --  1 --
 1 -- 17 17 17 --  1
 1 -- 17 -- 17 --  1
 1 -- 17 17 17 --  1
--  1 -- -- --  1 --
-- --  1  1  1 -- --
Some subspaces (determined by collections of objects which can be found in all cellular automata in the subspace):

Code: Select all

#C preserved in 2^166 cellular automata with the same weighted neighbourhood:
#C optional birth conditions (81): 11-16, 27-33, 41, 43-44, 46-50, 62-67, 77-79, 81-84, 93-97, 99-101, 107, 109-110, 112-116, 118, 120-121, 123-124, 126-138, 140-152
#C optional survival conditions (85): 3, 6-16, 26-33, 44-50, 59, 61-67, 75-84, 96-101, 106, 108, 111-120, 124, 127-136, 138, 143-152
x = 70, y = 44, rule = R3,C0,S34-67,140,B51-67,NW00000101010000000100000001000100111111000101001100110001010011111100010001000000010000000101010000
2b2o14bo$o4bo10bo3bo11bo2bo$6bo14bo14bo18bo$o5bo9bo4bo10bo3bo19bo$b6o
10b5o11b4o17b3o22$13bo6bo$12b2o6b2o$13b2o4b2o2$9bo14bo21bo$8b3o12b3o
20bo$10bo12bo21bobo16b3o$46bo17b3o$46bo17b3o$46bo20b3o$46bo20b3o$10bo
12bo21bobo19b3o$8b3o12b3o20bo$9bo14bo21bo2$13b2o4b2o$12b2o6b2o$13bo6bo!

Code: Select all

#C preserved in 2^241 cellular automata with the same weighted neighbourhood:
#C optional birth conditions (122): 7-16, 23-34, 40-50, 59-67, 69-84, 87-118, 120-121, 123-152
#C optional survival conditions (119): 3-16, 19, 22-33, 38-50, 56-67, 75-85, 90-101, 103, 106-120, 124-138, 140-152
x = 57, y = 5, rule = R3,C0,S34-67,140,B51-67,NW00000101010000000100000001000100111111000101001100110001010011111100010001000000010000000101010000
2b2o14bo$o4bo10bo3bo11bo2bo$6bo14bo14bo18bo$o5bo9bo4bo10bo3bo19bo$b6o10b5o11b4o17b3o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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hotcrystal0
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by hotcrystal0 »

Unix and P7 unix:

Code: Select all

x = 43, y = 51, rule = R2,C2,S34-67,B52-67,NW01010101010111111101011100110101111111010101010101
21bo$20bob4o$18b3ob2obo$17bo4bo4bo$17bob3obo3bo$21bobo$17bo3bob3obo$17b
o4bo4bo$19bob2ob3o$19b4obo$23bo2$4bo22bo$4obo17b4obo$3obobo16b3obobo$
5bobo20bobo4b2ob2o$6bo22bo4bo$5b2o21b2o4bobo3b2o$5b2o21b2o3b2obo4bo$5b
2o21b2o2bo3b3ob2o$33b3o3b3o$33b2ob3o3bo$33bo4bob2o$33b2o3bobo$40bo$35b
2ob2o4$19b2ob2ob2o$18bobobob2obo$17bo2bo6bo$17bob2obob3o$18bo2b4o$19b
o$16b3o$16bo10bo$23b4obo$23b3obobo$28bobo4b2o$29bo4bo2bo$28b2o4bob2o$
28b2o3b2obo$28b2o3bo3bo$33b2ob2o$33bo$34b4o$32bobo2bo$31bobo2bo$31bo2b
2o$30b2o!
There's a lot you can do by just reassembling known components.
89 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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hotcrystal0
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by hotcrystal0 »

hotcrystal0 wrote: April 24th, 2025, 4:25 pm This rule that’s somewhat like Seeds has many P2s, a couple P4s, and a P18:

Code: Select all

x = 71, y = 5, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
8bo5b2o15bo7bobo16b2o$o6bo14bobo5bo7bo3bo6bo7bo12bo$2bo4b2o12bo11bo13b
o3bo5bo3bo8bo$bo11b2o15b2o6bo3bo5b2o11bo7bo$21bo17bobo17b2o8bo!

8c/8 moon tagalong:

Code: Select all

x = 11, y = 5, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
8bo$bo5bo$o4bobo$o3bo2bo$bo2bo5bo!
Edit: 18c/18o and 69c/69o:

Code: Select all

x = 65, y = 24, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
4bobo16bobo2$2bo24bo2$o28bo2$2bo3bo16bo3bo2$4bo20bo7$57bo3bo$10bobo4b
obo38bobo$57bo3bo$10bobo4bobo$57bo3bo$58bobo$59bo$7bo2bo8bo2bo31bo2bo
3bo2bo$8b2o10b2o33b2o5b2o!
18c/18o “glider” rake:

Code: Select all

x = 34, y = 24, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
4bobo16bobo2$2bo24bo2$o28bo2$2bo3bo16bo3bo$30bo2bo$4bo20bo5b2o8$10bob
o4bobo2$10bobo4bobo4$7bo2bo8bo2bo$8b2o10b2o!
There's a lot you can do by just reassembling known components.
89 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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KazukiMutoh
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by KazukiMutoh »

Rules that naturally result in camelship.

Camelship (3,1)c/6

Code: Select all

x=7,y=5,rule=R3,C2,S1,3,5,9,11-14,18-24,26,32,B6,9-10,15-19,21-23,26-28,NW0d000d0d00200d002420002404200024200d00200d0d000d0
5bo$$o5bo$2bo$3bo!
Orthogonal Spaseships c, c/9, 2c/9

Code: Select all

x=8,y=21,rule=R3,C2,S1,3,5,9,11-14,18-24,26,32,B6,9-10,15-19,21-23,26-28,NW0d000d0d00200d002420002404200024200d00200d0d000d0
6bo$7bo$7bo$6bo$$$$$$$5b3o$5b3o$5bo$$$$$$$bo2bo$o2bo2bo!
Diagonal Spaceship c/6

Code: Select all

x=2,y=3,rule=R3,C2,S1,3,5,9,11-14,18-24,26,32,B6,9-10,15-19,21-23,26-28,NW0d000d0d00200d002420002404200024200d00200d0d000d0
bo$2o$2o!
Camelship Gun & Converter

Code: Select all

x=100,y=129,rule=R3,C2,S1,3,5,9,11-14,18-24,26,32,B6,9-10,15-19,21-23,26-28,NW0d000d0d00200d002420002404200024200d00200d0d000d0:T256,256
b2o$4o$4o$b2o$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$b2o$$$$$$80b2o$79b4o$79b4o$80b2o$b2o$$$$$$$$$$b2o$$$$$$$$$$b2o$$$$$$$$$$$$$$$$$$$$$2b2o$b4o$b4o$2b2o$$52b2o43b2o$51b4o41b4o$51b4o41b4o$52b2o43b2o!
https://codepen.io/ichimonzi/full/vEXbG ... ish&p=gun1
splitterrules
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by splitterrules »

A statorless reposcillator:

Code: Select all

x = 695, y = 343, rule = R3,C0,S1,3,5,9,11-14,18-24,26,32,B6,9-10,15-19,21-23,26-28,NW0D000D0D00200D002420002404200024200D00200D0D000D0
10bo$10bo$11bo3bo$15b2o6$656b2o$653b3o2bo$652b4o$b2o650bobo$4o$o2bo$b
2o$o2bo$4o$b2o63bobo$65bo$65bobo6bo$66bo$72bo6$600bo$600bo$595bo3bo$
594b2o6$121b2o$120bo2b3o$123b4o$123bobo6$542bobo$545bo$536bo6bobo$544b
o$538bo2$b2o689b2o$4o687b4o$o2bo687bo2bo$b2o689b2o$o2bo174bo512bo2bo$
4o174bo512b4o$b2o176bo3bo508b2o$183b2o6$488b2o$485b3o2bo$484b4o$485bob
o6$234bobo$233bo$233bobo6bo$234bo$240bo6$432bo$432bo$427bo3bo$426b2o5$
692b2o$289b2o400b4o$288bo2b3o397bo2bo$291b4o397b2o$291bobo397bo2bo$
691b4o$692b2o4$374bobo$377bo$368bo6bobo$376bo$370bo6$346bo$346bo$347bo
3bo$6b2o343b2o$7bo3bo$12bo$12bo3$320b2o$317b3o2bo$316b4o$317bobo340bo$
654bo$653bobo6bo25b2o$653bo$654bobo2$402bobo$401bo$401bobo6bo$402bo$
65bobo340bo$64b4o$65b3o2bo617b2o$68b2o3$264bo$264bo$259bo3bo$258b2o
343b2o$599bo3bo$598bo$598bo3$457b2o$456bo2b3o$459b4o$118bo340bobo$124b
o$116bo6bobo$125bo$122bobo2$206bobo$209bo$200bo6bobo$208bo$202bo340bob
o$543b4o$540bo2b3o$541b2o$5b2o681b2o2$514bo$514bo$515bo3bo$174b2o343b
2o$175bo3bo$180bo$180bo2$5b2o681b2o$152b2o$149b3o2bo$148b4o$149bobo
340bo$486bo$485bobo6bo$485bo$486bobo2$570bobo$569bo$569bobo6bo$570bo$
233bobo340bo$232b4o$233b3o2bo$236b2o3$96bo$96bo$91bo3bo$90b2o343b2o$
431bo3bo$430bo$430bo3$625b2o$5b2o617bo2b3o$627b4o$286bo340bobo$292bo$
284bo6bobo$293bo$290bobo2$38bobo$41bo$5b2o25bo6bobo$40bo$34bo340bobo$
375b4o$372bo2b3o$373b2o3$682bo$682bo$683bo3bo$342b2o343b2o$343bo3bo$
348bo$348bo6$324bo$318bo$317bobo6bo$317bo$318bobo4$b2o$4o$o2bo397bobo$
b2o397b4o$o2bo397b3o2bo$4o400b2o$b2o5$267b2o$263bo3bo$262bo$262bo6$
454bo$460bo$452bo6bobo$461bo$458bobo6$207bobo$207b4o$204bo2b3o$205b2o
6$510b2o$b2o508bo3bo176b2o$4o512bo174b4o$o2bo512bo174bo2bo$b2o689b2o$o
2bo687bo2bo$4o687b4o$b2o689b2o2$156bo$150bo$149bobo6bo$149bo$150bobo6$
569bobo$568b4o$569b3o2bo$572b2o6$99b2o$95bo3bo$94bo$94bo6$622bo$628bo$
620bo6bobo$629bo$626bobo63b2o$691b4o$691bo2bo$692b2o$691bo2bo$691b4o$
39bobo650b2o$39b4o$36bo2b3o$37b2o6$678b2o$679bo3bo$684bo$684bo!
There is probably a repship.
1and0nlycordershippr
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by 1and0nlycordershippr »

This kind of boring rule:

Code: Select all

x = 26, y = 12, rule = R1,C2,S2-4,B4,NW121191121
7bo$bo4b3o15bo$3o3bobo5b4o5b3o$obo3bobo5bo2bo5bobo$obo3bobo5bo2bo5bob
o$2bo3bobo14b3o$b2o3bobo15bo$2bo3bobo$obo4bo2$bo$2o!
weird

Code: Select all

x = 8, y = 12, rule = R4,C2,S2-3,B3,N@000000038181c0000005
obo$b2o$bo8$6b2o$6b2o!
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unname4798
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by unname4798 »

Code: Select all

#R R1,C3,S2,B3-4,NW121101121
!
[[ RANDOMIZE ]]
More interesting, but explosive.
1and0nlycordershippr
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Joined: December 20th, 2025, 8:34 pm
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by 1and0nlycordershippr »

hotcrystal0 wrote: April 26th, 2026, 1:30 pm
hotcrystal0 wrote: April 24th, 2025, 4:25 pm This rule that’s somewhat like Seeds has many P2s, a couple P4s, and a P18:

Code: Select all

x = 71, y = 5, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
8bo5b2o15bo7bobo16b2o$o6bo14bobo5bo7bo3bo6bo7bo12bo$2bo4b2o12bo11bo13b
o3bo5bo3bo8bo$bo11b2o15b2o6bo3bo5b2o11bo7bo$21bo17bobo17b2o8bo!

8c/8 moon tagalong:

Code: Select all

x = 11, y = 5, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
8bo$bo5bo$o4bobo$o3bo2bo$bo2bo5bo!
Edit: 18c/18o and 69c/69o:

Code: Select all

x = 65, y = 24, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
4bobo16bobo2$2bo24bo2$o28bo2$2bo3bo16bo3bo2$4bo20bo7$57bo3bo$10bobo4b
obo38bobo$57bo3bo$10bobo4bobo$57bo3bo$58bobo$59bo$7bo2bo8bo2bo31bo2bo
3bo2bo$8b2o10b2o33b2o5b2o!
18c/18o “glider” rake:

Code: Select all

x = 34, y = 24, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
4bobo16bobo2$2bo24bo2$o28bo2$2bo3bo16bo3bo$30bo2bo$4bo20bo5b2o8$10bob
o4bobo2$10bobo4bobo4$7bo2bo8bo2bo$8b2o10b2o!
4 of them make this:

Code: Select all

x = 111, y = 208, rule = R2,C2,S2-3,B3,19-26,NW01000100010009090900010900090100090909000100010001
54bobo2$50bo9bo2$48bo13bo2$46bo17bo2$46bo17bo2$46bo17bo2$32bobobo11bo
13bo11bobobo2$36bo13bo9bo13bo2$34bo19bobo19bo8$48bobobobobobobobo2$48b
o3bobobobo3bo2$48bobobobobobobobo10$24bobo57bobo2$22bo3bo57bo3bo2$26b
o15bo5bobo9bobo5bo15bo2$40bo7bobobo5bobobo7bo2$42bo5bobo9bobo5bo14$44b
o5bo3bobo3bo5bo2$44bobobobo3bobo3bobobobo2$44bo5bo3bobo3bo5bo2$14bobo
bo73bobobo2$18bo73bo2$16bo77bo6$46bobo13bobo2$44bo5bo9bo5bo2$42bobobo
bobobo5bobobobobobo2$44bo5bo9bo5bo2$46bobo13bobo2$8bobo16bobo51bobo16b
obo2$6bo24bo47bo24bo2$4bo28bo20bobo20bo28bo2$6bo3bo16bo3bo18bo9bo18bo
3bo16bo3bo$o2bo103bo2bo$b2o5bo20bo18bo13bo18bo20bo5b2o2$46bo17bo2$46b
o17bo2$46bo17bo2$14bobo4bobo24bo13bo24bobo4bobo2$14bobo4bobo26bo9bo26b
obo4bobo2$54bobo2$11bo2bo8bo2bo57bo2bo8bo2bo$12b2o10b2o59b2o10b2o5$48b
obobobobobobobo2$48bo3bobobobo3bo2$48bobobobobobobobo14$42bo5bobo9bob
o5bo2$40bo2bo4bobobo5bobobo4bo2bo2$43bo4bobo9bobo4bo2$39bo31bo2$43bo23b
o10$44bo5bo3bobo3bo5bo2$44bobobobo3bobo3bobobobo2$44bo5bo3bobo3bo5bo10$
31bobobo39bobobo2$35bo10bobo13bobo10bo2$33bo10bo5bo9bo5bo10bo2$42bobo
bobobobo5bobobobobobo2$44bo5bo9bo5bo2$46bobo13bobo10$25bobo16bobo17bo
bo16bobo2$23bo24bo13bo24bo2$21bo28bo9bo28bo2$23bo3bo16bo3bo13bo3bo16b
o3bo$17bo2bo69bo2bo$18b2o5bo20bo17bo20bo5b2o8$31bobo4bobo29bobo4bobo2$
31bobo4bobo29bobo4bobo4$28bo2bo8bo2bo23bo2bo8bo2bo$29b2o10b2o25b2o10b
2o!
weird

Code: Select all

x = 8, y = 12, rule = R4,C2,S2-3,B3,N@000000038181c0000005
obo$b2o$bo8$6b2o$6b2o!
User avatar
KazukiMutoh
Posts: 6
Joined: July 24th, 2026, 1:10 pm

Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by KazukiMutoh »

A rule in which a (3,7) Oblique SS occurs naturally.

Code: Select all

x = 21, y = 13, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
9.A$E6.2B.A$F.2G2.B2.2CB$FGHAGB.C2.DE$3.HGBCD2.DF.EB2.ABA$5.B.AEF3.FECDC$4.A.DCE.3G2EC.C.BA$8.EFH.H2ECDC$14.F3.BA$13.HG$11.G$12.HG$13.F!
Oblique (3,7)c/7, p28 (core)

Orthogonal, diagonal, and oblique spaceships all occur naturally, each moving with a long trailing tail.

Code: Select all

x = 46, y = 19, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
34.F2EF5.A$35.GHG.A.2B.A$14.2DAC3.2A11.G.D2.ABC3.A$12.FDEBD.A.B2.BA7.H2.DH.G2D.C.B$3.C2.H4.G.BFEB3.B2CFGH5.F.G.EHDG.F.ACB$4.2D.G.G2.HG2C2.2A.D.DCBF5.G.F.HBG2E.D.A$5.E2G2.BHEGAEBD4.EBGH.HCD5.FHC.2E.D$4.DF.HD.HCDCFE.D2.D.EF.GDG2F.GH3.DGCF.2C$4.EDFE.3GCF.E4.D.EDF2.F3EG.2HBGE2C$2.4E2D.DACFCD.D2.C3.3E2.C2.4FGCE.D2.B$EC.2DE2.EDBF.A3C4.C5.E.CD4.2FD.C2A$D3F.E3.2F.B4.B.2BA.5D.C7.A2B$.GHG4.HG.A2.2B5.AC2A.A.C$.2F.FED6.A2.2A4.A.C.C.A$E.H5.H14.5B$5.G16.A5.A$2.H5.H15.A.A$3.H$4.2H!
Orthogonal 6c/5, p240 (core)

Code: Select all

x = 31, y = 27, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
27.2A$11.2A13.AB$19.ABA3.2C.B.A$9.A.2BC2.3A2.4CD3.BA$9.AC2B2.CB3.BD.2E.DACA$7.D4.3D.B.3ADEFC2.DCA$.ABC3.E2.DA.EBCFA3.2GBF.EC.A$3.ADE.F.E2.E.FAE4GH3.FE2BA$ABCADFG.3D.F2.E.H4.HEGE$3.ADEDHFG.H.E2GDH2.G.DHGE$.ABCH2.CG2FG.HG.G2.F3.G.E$4.G2.F2G13.2FE$7.H2.H11.EB.CD$7.F10.H4.EC.A.A$20.G.2E.D.B$22.FC2.CB.A$18.G.HGH.DC.B$18.G.2HEF$20.FHDGB.B.A$21.EDEBC$19.G.2EDB$19.DFDAF.DCB$14.2H2.H2.HGBE$13.H4.H.H.GCDC$13.H5.H.EF3B$12.G2.2H5.A3.A$17.G6.A!
Diagonal c, p40 (core)

Secondary spaceships made by overlaying these ships have different periods and tail shapes. For example,

Code: Select all

x = 42, y = 40, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
35.A6.$33.A.B.A4.$33.B3.B4.$34.3CA4.$34.D.D5.$34.3C5.$32.GF3EB4.$29.FG.H.2EFE4.$30.H3.HG6.$31.G3.G.FEB2.$34.HG.2DCA.$34.F.F2.C.A$34.3E3.B.$6.A28.CADC.B.$4.A.B.A26.D.C.B2.$4.B3.B27.3B3.$5.3CA26.A.2G3.$5.D.D29.HAG2.$5.3C30.HG2.$3.GF3EB18.A.A8.G3.$FG.H.2EFE19.B2.B.H4.2FE.$.H3.HG20.B.2CF.G8.$2.G3.G.FEB2A14.B.DADG9.$5.HG.2DC2.A13.C2.ECHG8.$5.F.F2.C.B14.BDBEFBGCH6.$5.3E2.A.B14.BD.E.FED7.$8.D.CA.2D13.C2.2E.D7.$6.2DB.2CAE.D18.C7.$10.E2FBED26.$8.2GD.AC2G26.$8.HCGDEGFH26.$9.HGCBGH27.$9.G4.G27.$2.E.H4.F4.G27.$2.F.G8.G.G26.$C.FG8.F.H27.$BD.HDE8.H27.$DE.2F2H7.G27.$DCEDG37.$.2D39.!
ObliqueSS p14:(3,7)c/7 has a short tail and period,

Code: Select all

x = 43, y = 27, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
6.2A$5.AB.A$4.2C.BA$3.C2.2DC$BHC.D2.EF5.3A$.HCDE2.EG.FC2.BCB$2ACABFG3.GFDED$.BAEDF.3H2FD.D.CBA$5.FG3.2FDEDA$11.G3.CBA$$$$$$$$30.2A$29.AB.A$28.2C.BA$27.C2.2DC$24.BHC.D2.EF5.3A$25.HCDE2.EG.FC2.BCB$24.2ACABFG3.GFDED$25.BAEDF.3H2FD.D.CBA$29.FG3.2FDEDA$35.G3.CBA!
while p140:(3,7)c/7 has a long tail.

Other examples
1and0nlycordershippr
Posts: 410
Joined: December 20th, 2025, 8:34 pm
Location: Vietnam
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by 1and0nlycordershippr »

(3,7)c/7 rake:

Code: Select all

x = 30, y = 30, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
9.A$E6.2B.A$F.2G2.B2.2CB$FGHAGB.C2.DE$3.HGBCD2.DF.EB2.ABA$5.B.AEF3.FE
CDC$4.A.DCE.3G2EC.C.BA$8.EFH.H2ECDC$14.F3.BA$13.HG$11.G$12.HG$13.F5$18.
A$9.E6.2B.A$9.F.2G2.B2.2CB$9.FGHAGB.C2.DE$12.HGBCD2.DF.EB2.ABA$14.B.A
EF3.FECDC$13.A.DCE.3G2EC.C.BA$17.EFH.H2ECDC$23.F3.BA$22.HG$20.G$21.HG
$22.F!
weird

Code: Select all

x = 8, y = 12, rule = R4,C2,S2-3,B3,N@000000038181c0000005
obo$b2o$bo8$6b2o$6b2o!
User avatar
KazukiMutoh
Posts: 6
Joined: July 24th, 2026, 1:10 pm

Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by KazukiMutoh »

KazukiMutoh wrote: July 31st, 2026, 8:08 am A rule in which a (3,7) Oblique SS occurs naturally.

Code: Select all

x = 21, y = 13, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
9.A$E6.2B.A$F.2G2.B2.2CB$FGHAGB.C2.DE$3.HGBCD2.DF.EB2.ABA$5.B.AEF3.FECDC$4.A.DCE.3G2EC.C.BA$8.EFH.H2ECDC$14.F3.BA$13.HG$11.G$12.HG$13.F!
Oblique (3,7)c/7, p28 (core)

Orthogonal, diagonal, and oblique spaceships all occur naturally, each moving with a long trailing tail.

Code: Select all

x = 46, y = 19, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
34.F2EF5.A$35.GHG.A.2B.A$14.2DAC3.2A11.G.D2.ABC3.A$12.FDEBD.A.B2.BA7.H2.DH.G2D.C.B$3.C2.H4.G.BFEB3.B2CFGH5.F.G.EHDG.F.ACB$4.2D.G.G2.HG2C2.2A.D.DCBF5.G.F.HBG2E.D.A$5.E2G2.BHEGAEBD4.EBGH.HCD5.FHC.2E.D$4.DF.HD.HCDCFE.D2.D.EF.GDG2F.GH3.DGCF.2C$4.EDFE.3GCF.E4.D.EDF2.F3EG.2HBGE2C$2.4E2D.DACFCD.D2.C3.3E2.C2.4FGCE.D2.B$EC.2DE2.EDBF.A3C4.C5.E.CD4.2FD.C2A$D3F.E3.2F.B4.B.2BA.5D.C7.A2B$.GHG4.HG.A2.2B5.AC2A.A.C$.2F.FED6.A2.2A4.A.C.C.A$E.H5.H14.5B$5.G16.A5.A$2.H5.H15.A.A$3.H$4.2H!
Orthogonal 6c/5, p240 (core)

Code: Select all

x = 31, y = 27, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
27.2A$11.2A13.AB$19.ABA3.2C.B.A$9.A.2BC2.3A2.4CD3.BA$9.AC2B2.CB3.BD.2E.DACA$7.D4.3D.B.3ADEFC2.DCA$.ABC3.E2.DA.EBCFA3.2GBF.EC.A$3.ADE.F.E2.E.FAE4GH3.FE2BA$ABCADFG.3D.F2.E.H4.HEGE$3.ADEDHFG.H.E2GDH2.G.DHGE$.ABCH2.CG2FG.HG.G2.F3.G.E$4.G2.F2G13.2FE$7.H2.H11.EB.CD$7.F10.H4.EC.A.A$20.G.2E.D.B$22.FC2.CB.A$18.G.HGH.DC.B$18.G.2HEF$20.FHDGB.B.A$21.EDEBC$19.G.2EDB$19.DFDAF.DCB$14.2H2.H2.HGBE$13.H4.H.H.GCDC$13.H5.H.EF3B$12.G2.2H5.A3.A$17.G6.A!
Diagonal c, p40 (core)

Secondary spaceships made by overlaying these ships have different periods and tail shapes. For example,

Code: Select all

x = 42, y = 40, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
35.A6.$33.A.B.A4.$33.B3.B4.$34.3CA4.$34.D.D5.$34.3C5.$32.GF3EB4.$29.FG.H.2EFE4.$30.H3.HG6.$31.G3.G.FEB2.$34.HG.2DCA.$34.F.F2.C.A$34.3E3.B.$6.A28.CADC.B.$4.A.B.A26.D.C.B2.$4.B3.B27.3B3.$5.3CA26.A.2G3.$5.D.D29.HAG2.$5.3C30.HG2.$3.GF3EB18.A.A8.G3.$FG.H.2EFE19.B2.B.H4.2FE.$.H3.HG20.B.2CF.G8.$2.G3.G.FEB2A14.B.DADG9.$5.HG.2DC2.A13.C2.ECHG8.$5.F.F2.C.B14.BDBEFBGCH6.$5.3E2.A.B14.BD.E.FED7.$8.D.CA.2D13.C2.2E.D7.$6.2DB.2CAE.D18.C7.$10.E2FBED26.$8.2GD.AC2G26.$8.HCGDEGFH26.$9.HGCBGH27.$9.G4.G27.$2.E.H4.F4.G27.$2.F.G8.G.G26.$C.FG8.F.H27.$BD.HDE8.H27.$DE.2F2H7.G27.$DCEDG37.$.2D39.!
ObliqueSS p14:(3,7)c/7 has a short tail and period,

Code: Select all

x = 43, y = 27, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
6.2A$5.AB.A$4.2C.BA$3.C2.2DC$BHC.D2.EF5.3A$.HCDE2.EG.FC2.BCB$2ACABFG3.GFDED$.BAEDF.3H2FD.D.CBA$5.FG3.2FDEDA$11.G3.CBA$$$$$$$$30.2A$29.AB.A$28.2C.BA$27.C2.2DC$24.BHC.D2.EF5.3A$25.HCDE2.EG.FC2.BCB$24.2ACABFG3.GFDED$25.BAEDF.3H2FD.D.CBA$29.FG3.2FDEDA$35.G3.CBA!
while p140:(3,7)c/7 has a long tail.

Other examples


Another (3,7)c/7 rake.
outputs a Diagonal SS.

Code: Select all

#C board=1000x1000
#C topology=torus
#N KM02
x=312,y=196,rule=R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
267.2A30.2A$266.AB.A28.AB.A$258.F6.2C.BA20.F6.2C.BA$258.G.2H2.C2.2DC20.G.2H2.C2.2DC$258.GH.BHC.D2.EF5.3A12.GH.BHC.D2.EF5.3A$262.HCDE2.EG.FC2.BCB16.HCDE2.EG.FC2.BCB$261.2ACABFG3.GFDED17.2ACABFG3.GFDED$262.BAEDF.3H2FD.D.CBA14.BAEDF.3H2FD.D.CBA$251.D2ED11.FG3.2FDEDA6.D2ED11.FG3.2FDEDA$253.F2H.H14.G3.CBA6.F2H.H14.G3.CBA$252.FG2.H15.H11.FG2.H15.H$252.F.G.EG11.H14.F.G.EG11.H$253.3F15.H13.3F15.H$271.G31.G$252.E31.E$251.2H.2F27.2H.2F$253.H.G29.H.G$252.GH.GED26.GH.GED$251.H.H2.F26.H.H2.F$249.DEG2.G.E24.DEG2.G.E$247.C.D.4F.E22.C.D.4F.E$249.DE4.E25.DE4.E$248.C3.2E26.C3.2E$249.2CD2.2DC24.2CD2.2DC$230.2A19.A2C.BA26.A2C.BA$228.A4.A14.A2B.2AB.A23.A2B.2AB.A$227.A.3B3.A15.A2.2A27.A2.2A$226.A2.A.AB3.A$202.H23.B2.2BCD3B$213.E4.E7.D2CDC3.DCA26.B$213.F.2G.F5.FE.B3C3E.C20.FE.A2.AC$213.FGH.GF2.2HGE.E.BEACFGDF8.2HG6.2HGE.E.BC3.CB$213.E2.H6.GE.F.EA.FDBHG19.GE.FEB.3D$224.2GCB.DFGCH7.HGF12.2GA.BC.FEC$225.HF2D.FC.H23.HF.EBEGC2H7.2HG$225.HF.D.FGH7.F.GH13.HF.2AEGHE$225.G2E.DF9.F2.G13.GED3.2F2.H.H$205.G2HG4.H17.FG7.E.G21.D.E.F3.F.G$175.2G.F48.CD.2EDH7.G23.H2G2.2H.CHF$174.G.HG34.H28.EH.H.HG18.E.DG2.2G2D$174.GH32.FE.H2.E.D25.F2H20.C.3F.FDAFED$172.BED2G3.H28.G.F.FH.E21.HFG.HFD.G18.DE5.EBEBD$171.A.F.DC32.GH.H.GF23.FEGE.GE.B20.2E3.C.D.A$171.2CFCE28.GH3.GCBAG.F24.3FCFEC26.A.2CB$170.BDEC.2G30.H.CF2D2F26.D.B2.DC23.E2.B2A$168.A.BD.EGFH20.H4.H5.FC.BED23.E.C.D.E.DACA19.DE3.E$174.GH19.DFG8.2HFDBE3.A22.3FD2.DA2.BA20.3F.E$169.BCD2.DG19.E9.H2.GFBE.DB23.G.G.E3C.B.A20.GDG.E$169.B.2CECG.G17.EGHF3.HEG2.GEF2.D.CB17.H4.FH2.F3.B18.H4.FH2.F$171.AEF.GE.H17.FDC2HFD.FD3FDB3C.B23.HEGE.B26.HEGE$169.A2.E.FH.E15.B.E.FG2FGDE3.3C2B24.HF.HEGE25.HF.HEGE$171.B.DC2FD15.CD.ED5.D2.3E.BA11.2D11.G2.H2.F12.2D11.G2.H2.F$152.A5.A2.A9.BC.C.H16.C.2D8.DB2.DCAB9.D2.2E9.F.G.G.E11.D2.2E9.F.G.G.E$150.2B5.D.B.B10.B.FGBH.FH12.B9.ACB.D.C.B.A7.DCE3.F6.H3.3F.E10.DCE3.F6.H3.3F.E$149.B.CDA3.ABDC9.A2.DF.3GCEA23.2BC2.B10.DEG2FHG13.E11.DEG2FHG13.E$148.B.C.BA2.3E.C.BA8.DEBC.CDFEB22.A5.2A9.F2DHD2.2GH.G6.E13.F2DHD2.2GH.G6.E$148.B.D.2EDFGCFDC10.BDBEA2F3BDC39.G.H.E10.H16.G.H.E10.H$149.C2AF2D.H.G2.BA7.BC2.BEABE2D.C39.G.HG.HF2.H.G2.D17.G.HG.HF2.H.G2.D$149.CE.BGH2EFH11.B.C.3DB4.B40.2F2H4.H2.GE19.2F2H4.H2.GE$150.DFCG17.A.C3.C54.EGHFE27.EGHFE$150.DF.GH.G18.C.B55.2F.E28.2F.E$150.E2.G21.B59.D31.D$152.F2.H$155.G$155.G.H$155.F$$156.2H$$$$$$$$$$$156.E$157.2F2.E$151.DC.FG2.G.F$148.ABAE.F.F2H.GF$149.C.EFGHF2.2F$147.AB.D.BDB4.H$150.B2CGE4.H$148.A.CBCGH$150.EBFD.H$150.DC2F.E$148.AB.FEF.E$147.A2.ADG2H$148.B.2CGE4.H9.H$149.AC.G2.F5.H$107.F39.BA2.CG.G6.G$107.GHG38.C2DGH8.G$110.G37.C.EG.HD2.2B.AH$106.H2.HG37.CEFB.EHGFC3.A$104.G43.CECF.2G.FDC.B$104.H4.H6.H30.CD3.F4E.C.B$106.3H8.F28.AC.D.2E2.BCDC2.A$116.G28.AB2.ADCB3.B2.B$107.2G6.2G28.A.B.2C.B3.2A.A$116.HG30.B4A$115.HFG29.2A$111.2H3.GEC$100.FH8.H.H2.GD2.D$100.G.F9.F.G.DFE$99.DG5.G6.HG.F.E$97.C2.E2H.G4.H4.E2.2D$97.ADBEF.G2.2H.H2.HGDFB$81.2A13.A.D.EBF.G.2H3.2GCD2.C$77.4AB15.B.C.E2A5.G2.DEC$77.B.2C.B12.A.B.2C.EBF.2GE.3FCD.C$77.BCDA2.B.A9.A.B.AD2C.DF7.ED2.B$72.D2E.A2EADAC14.B5.E.F2.FECE3.C$73.FG2.FB2.DC.B11.A.C.D5.2EB2.2D.C$73.FH.GAFCE.C.B.A10.ACD.E3.E2GCD3.C$72.H2.EHGFBE.C.B12.A.CE2.FGD.H.G2C$74.G3.F.BD14.A.2BA3F2.H3.HA2BA$76.G2.2DBCB10.A5.EG.2H.F$75.GHF.E3.A10.B.B.AG.D3.G$75.2F18.CDFE.H2.GEF$73.H18.AB.CAEGEH$95.CDAG.H$93.AB.AB2FCH5.H$94.A2.ECDF.H$97.3DF2G9.A.2B$98.DE12.ABDCA$113.AC2ED$113.E.C.D$114.4F2.H$114.G.G.H2G3.2BA$114.H2.E.H.2HCDCA$112.H2.F2.BCDEFE$109.G.H3.H.G.3G.EBDC$109.F4.FH2.CBD.FE$107.DE.FG4.G.E2F3.D$108.6H.G3.2DE2D6.H2.H$106.DG3E.2CG$104.CBDF.GDEGD$40.3A63.DE.FDEF$36.3ABC.B62.C3.ECBD$36.B2A.D.C64.C.3D.A$34.A2.CD2ABD64.AC3.B$35.B.C.3E64.AB2.2CB$35.B.CDFCF.H.H.H58.A.2B$34.A2.C2.GEH67.A$36.B.FDGH2.G2.H82.H2.H$36.E.FCGE.G.F$38.FCGD2.F3.H72.BADB$39.B.HF2.E76.2C2E$39.FGF2H78.EC3.D$39.E2DE79.D3F$121.G2.GEF.E$121.HFH.GF.EB$124.H.F2CD$76.D47.F.DECA$73.2F.E47.HG2.AB$72.FGCFE.C44.A3.2A$43.2F25.H.FHGD.D44.A.2B2.A$42.G.HG29.D.D44.A4.BA$39.A.HG2.F27.FHGEB2A39.D2.B.3C2A$38.B2CF3.H23.GH3.2FCA2.A38.E.2FCD.D.A$38.BD.D.GE26.HFH2DC2.B39.EFG.FBE2.B$39.BECF.H25.G.FG.ED.CB.A37.H.HGFBE.DC$38.DAE2.FG21.E2.2FD.E3.C.B.A36.H.DED2CEB.A$40.E.F23.D3F.DE2.C.AB37.H.H.G.CBFCDC$38.2GE.F5.H15.A2.HG3.2D4.2A35.H2.G.2H.G2CB$37.GFH2G.H17.AB.BAGE46.H3.HG2H.G.BC.BA$36.GEH3.F19.C.C.G.HGF45.2F.C.3FD2.B.A$36.G3.G.F11.G4.E.EBDBAG3E46.G.HDF.D.ED2.A$37.H3F3.E6.EG2.H2.G.FD.DEF.HGE47.DHFG2.E.D$37.H2.H4.F6.FHF3.FD.F.AD2.2F.D47.3E2.2D$39.F3.G2.H5.FH.DE2H.GCBA.DE2D45.HF.DH2.D2.ABA$39.G2.GH2G7.G2D.2HEG8.C44.G.H.2D2.3C.A$39.H14.EDF.C2.C52.FEG3.C4.BA$44.F11.F2GDFDC58.3B$59.FBEA57.A$59.E.DCB58.A$$$51.F.3A$21.H22.DF.G2.G2.B.B$.H40.C2.EG3.HG2DCA$.H40.BD.2E3H.GE.C$2.H2.H15.H20.BDAFGBC2DAFEC$.2F39.ACA3E2GBFBEC$.G.H10.G29.A.EF.CF.2ADC$.G2.G8.H30.A2B.C3EAD.C$F.HG9.H.G.D27.C2D2B.AD.B$E.F6.F3.H.GE29.A3.D$6.B2C.G.H.DBFE$8.DH2GEGCFBE$7.DEF3.FCAE$6.ADBEAF2.EC$6.A.DBAEC2DC$6.B2CA3.B!
Last edited by KazukiMutoh on August 1st, 2026, 6:24 am, edited 1 time in total.
LWSSONHWSSONLWSS
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by LWSSONHWSSONLWSS »

Growing spaceship

Code: Select all

x = 4, y = 6, rule = R1,C2,S2-4,B4,NW121191121
2o$bo$o$o$o2bo$4o!
Weird reaction

Code: Select all

x = 4, y = 7, rule = R1,C2,S2-4,B4,NW121191121
4o$o2bo$o2bo2$o2bo$o2bo$4o!
Please click this okay?
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KazukiMutoh
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by KazukiMutoh »

KazukiMutoh wrote: July 31st, 2026, 8:08 am A rule in which a (3,7) Oblique SS occurs naturally.

Code: Select all

x = 21, y = 13, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
9.A$E6.2B.A$F.2G2.B2.2CB$FGHAGB.C2.DE$3.HGBCD2.DF.EB2.ABA$5.B.AEF3.FECDC$4.A.DCE.3G2EC.C.BA$8.EFH.H2ECDC$14.F3.BA$13.HG$11.G$12.HG$13.F!
Oblique (3,7)c/7, p28 (core)

Orthogonal, diagonal, and oblique spaceships all occur naturally, each moving with a long trailing tail.

Code: Select all

x = 46, y = 19, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
34.F2EF5.A$35.GHG.A.2B.A$14.2DAC3.2A11.G.D2.ABC3.A$12.FDEBD.A.B2.BA7.H2.DH.G2D.C.B$3.C2.H4.G.BFEB3.B2CFGH5.F.G.EHDG.F.ACB$4.2D.G.G2.HG2C2.2A.D.DCBF5.G.F.HBG2E.D.A$5.E2G2.BHEGAEBD4.EBGH.HCD5.FHC.2E.D$4.DF.HD.HCDCFE.D2.D.EF.GDG2F.GH3.DGCF.2C$4.EDFE.3GCF.E4.D.EDF2.F3EG.2HBGE2C$2.4E2D.DACFCD.D2.C3.3E2.C2.4FGCE.D2.B$EC.2DE2.EDBF.A3C4.C5.E.CD4.2FD.C2A$D3F.E3.2F.B4.B.2BA.5D.C7.A2B$.GHG4.HG.A2.2B5.AC2A.A.C$.2F.FED6.A2.2A4.A.C.C.A$E.H5.H14.5B$5.G16.A5.A$2.H5.H15.A.A$3.H$4.2H!
Orthogonal 6c/5, p240 (core)

Code: Select all

x = 31, y = 27, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
27.2A$11.2A13.AB$19.ABA3.2C.B.A$9.A.2BC2.3A2.4CD3.BA$9.AC2B2.CB3.BD.2E.DACA$7.D4.3D.B.3ADEFC2.DCA$.ABC3.E2.DA.EBCFA3.2GBF.EC.A$3.ADE.F.E2.E.FAE4GH3.FE2BA$ABCADFG.3D.F2.E.H4.HEGE$3.ADEDHFG.H.E2GDH2.G.DHGE$.ABCH2.CG2FG.HG.G2.F3.G.E$4.G2.F2G13.2FE$7.H2.H11.EB.CD$7.F10.H4.EC.A.A$20.G.2E.D.B$22.FC2.CB.A$18.G.HGH.DC.B$18.G.2HEF$20.FHDGB.B.A$21.EDEBC$19.G.2EDB$19.DFDAF.DCB$14.2H2.H2.HGBE$13.H4.H.H.GCDC$13.H5.H.EF3B$12.G2.2H5.A3.A$17.G6.A!
Diagonal c, p40 (core)

Secondary spaceships made by overlaying these ships have different periods and tail shapes. For example,

Code: Select all

x = 42, y = 40, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
35.A6.$33.A.B.A4.$33.B3.B4.$34.3CA4.$34.D.D5.$34.3C5.$32.GF3EB4.$29.FG.H.2EFE4.$30.H3.HG6.$31.G3.G.FEB2.$34.HG.2DCA.$34.F.F2.C.A$34.3E3.B.$6.A28.CADC.B.$4.A.B.A26.D.C.B2.$4.B3.B27.3B3.$5.3CA26.A.2G3.$5.D.D29.HAG2.$5.3C30.HG2.$3.GF3EB18.A.A8.G3.$FG.H.2EFE19.B2.B.H4.2FE.$.H3.HG20.B.2CF.G8.$2.G3.G.FEB2A14.B.DADG9.$5.HG.2DC2.A13.C2.ECHG8.$5.F.F2.C.B14.BDBEFBGCH6.$5.3E2.A.B14.BD.E.FED7.$8.D.CA.2D13.C2.2E.D7.$6.2DB.2CAE.D18.C7.$10.E2FBED26.$8.2GD.AC2G26.$8.HCGDEGFH26.$9.HGCBGH27.$9.G4.G27.$2.E.H4.F4.G27.$2.F.G8.G.G26.$C.FG8.F.H27.$BD.HDE8.H27.$DE.2F2H7.G27.$DCEDG37.$.2D39.!
ObliqueSS p14:(3,7)c/7 has a short tail and period,

Code: Select all

x = 43, y = 27, rule = R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
6.2A$5.AB.A$4.2C.BA$3.C2.2DC$BHC.D2.EF5.3A$.HCDE2.EG.FC2.BCB$2ACABFG3.GFDED$.BAEDF.3H2FD.D.CBA$5.FG3.2FDEDA$11.G3.CBA$$$$$$$$30.2A$29.AB.A$28.2C.BA$27.C2.2DC$24.BHC.D2.EF5.3A$25.HCDE2.EG.FC2.BCB$24.2ACABFG3.GFDED$25.BAEDF.3H2FD.D.CBA$29.FG3.2FDEDA$35.G3.CBA!
while p140:(3,7)c/7 has a long tail.

Other examples


(3,7)c/7 rake eject 2types ss:

Code: Select all

x=47,y=19,rule=R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
4.AB$.A2.AC.B$2.BC3.CB.A$A.B.3D2B$.FBCEFE2B.A$2.GHG3.C$2.G.G.FED26.A$2.GHGD20.E6.2B.A$5.FED18.F.2G2.B2.2CB$7.C18.FGHAGB.C2.DE$29.HGBCD2.DF.EB2.ABA$31.B.AEF3.FECDC$30.A.DCE.3G2EC.C.BA$34.EFH.H2ECDC$40.F3.BA$39.HG$37.G$38.HG$39.F!
(3,7)c/7 rake eject 3types ss:

Code: Select all

x=134,y=117,rule=R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
88.2A$87.AB.A$79.F6.2C.BA$79.G.2H2.C2.2DC$79.GH.BHC.D2.EF5.3A$83.HCDE2.EG.FC2.BCB$82.2ACABFG3.GFDED$83.BAEDF.3H2FD.D.CBA$72.D2ED11.FG3.2FDEDA$74.F2H.H14.G3.CBA$73.FGC.H15.H$73.F.GDEGC10.H$74.3FBD2A11.H24.B$75.C.ED.BA10.G24.C.2D$73.D2E3.C.A35.CDE.D5.AB$74.2CD2CABA35.2F.ED2.A2.AC.B$116.F2.2GF3.BC3.CB.A$113.E.F.G2.H2.A.B.3D2B$111.2A2.FGH2.H3.FBCEFE2B.A$112.B2DFDE7.GHG3.C$111.BC.EDHG7.G.G.FED$103.G2HG4.B.C.AC8.GHGD$112.3B13.FED$106.F23.C$107.GH.FA$108.EG2D.2B$106.F.HG.ED.C$65.H4.H33.G2H3.FCD.CA$43.AE3.B2A11.H3.2H.GH34.2FG2FDED2.B$40.C.EBA2C2ED15.HFG2H39.AC2.C.A$39.D.EB3FD.2CB11.BCG3FD41.4B.A$39.DE2B.GD.GF.B2.A7.2ADEC2.ED2A37.A4.A$40.DFCGC2H3FBDBA6.A2.D.3E.DB40.2A$40.DFGB2EDCHGBEC8.BCA.A2B2.CB$39.ADAFH4.2F.EC8.B.C.3D.C.B$38.ABD2EH4.HF2.D8.A2.C.2AC.A$39.C.C2.H2.H.GE15.C$39.3B.G22.B$38.A3.A$40.A$$$49.H$90.BA.EF4.G$57.H31.AC.2DGHF2.HG2DC$89.ACDA.G.3H.GE$90.2BEFD.D2E2.FE$76.H15.EAFB3GBFCE$92.D2CF.2DF.DB$75.HG16.A2.CF.2C$94.3BEB2.BA$93.A5.A.A$95.2A$$$$$$$87.H4.G$63.E4.E22.H$63.2HFGF.A2.A19.H$51.FGH8.H2FH.FAE2B.A12.H5.H$53.F2.G9.GF.E.D2.A14.3H$50.EGHF2.H4.E.G2.AFBE2C.B14.G$50.E.2F4.H.F2.GFHDB2.2C.B16.2GF$49.D2.FH.HE4.2G.FGCFE.D3.A14.F2ED$49.D.E.2GF2.H3.FHGC2E2.2B.A$50.D.E2.F3.HEHE2.DB3A2.A$51.2D2.2E.G2.2G$49.AB3ADB.AE2F$49.A.3C2.2DC$49.AB4.C2BA$52.3B$56.A$53.A$$$$$$$$$2.E$D2.2F$CEH.G$CEFG.H14.3A16.A.2B$BD2.F14.AB.B16.AB.CA$18.A.C.ACD2C2.A11.CA2DC$18.B2AD2E3.C.B10.D2EA.B$2.H15.AC.D3.ED2.B7.H3.3CEB$17.A.C.D3F.D.C.A3.GH4.B3FBE$18.BA.FGEG.D.C.A9.FGDGAE$18.E.FDE.FED2.B6.HG3.FH2.F$17.BA.GF3H2.C2H12.HEG$18.CF.F.2H2.H14.HEG.E$17.CDFH9.G11.H2.F$17.CEDG.F.G4.H14.F2DC$18.2CG.F18.HFGF.E$19.EFH.E15.2H$21.E.D16.H.GF$21.D.C19.E$38.H5.2AB2A$34.FG7.B2C3.A$38.H6.A.CB13.E$34.G2H7.3D.B11.HGF$43.D.EBCEA10.F$43.DEAGF13.HGF$44.D2FHFG13.E3.A$42.B2CB.H8.HDEGHG2DBCB$45.G.H7.CBD.3F2DB.B.A$48.H4.HA2.DE3.EDBCB$49.2H.GFABC2.CE.DA3.A$49.EFG.FA.B2.CD$49.E.2F2.A2.2BA$49.D6.2A!
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unname4798
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Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by unname4798 »

R4 Cross "INT":

Code: Select all

#R R4,C2,S,B,NW000000000100000000000000000500000000000000001900000000000000007d000000000105197d007d190501000000007d00000000000000001900000000000000000500000000000000000100000000 
!
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Katrina
Posts: 183
Joined: September 26th, 2024, 3:23 am

Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by Katrina »

This rule looks like an alternating R1 INT rule at double speed for some reason. It's also self-complementary.

Code: Select all

#R R2,C0,S1-4,13-19,22-28,B7-8,16-23,28,NW0010002420140410242000100
!
[[ RANDOMIZE RANDWIDTH 100 RANDHEIGHT 100 RANDFILL 50 ]]
User avatar
KazukiMutoh
Posts: 6
Joined: July 24th, 2026, 1:10 pm

Re: HROT,NW (Higher-range outer-totalistic, weighted)

Post by KazukiMutoh »

https://conwaylife.com/forums/viewtopic ... 80#p232280

I have found several oscillators in this rule.

For now, the smallest one is p10.

Code: Select all

#N Dragon's Dream
x=11,y=16,rule=R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
.F2G3.2GF$D2EH.G.H2ED$2.HF.B.FH$2.H2.C2.H$2.BCADACB$3.D.E.D$3.ECFCE$3.F3BF$3.A3GA$4.HAH$4.E.E$2.GHF.FHG$2.CDEHEDC$2.CADGDAC$3.C.B.C$.A2B3.2BA!
The largest one is p288.

Code: Select all

#N Dragon's Dream
x=142,y=194,rule=R3,C9,S20,22-23,25-26,33,35,37-71,74,B7-8,22,24-25,30-31,34-71,NW0011100012321012454211350531124542101232100011100
123.C$115.2FG2FG2F2.2D$111.E2.F3.2H2D.FDEC$104.CB2D5.F.GHE2.EHG.D.EBA2ED$103.2FDECD3.F2.G5.EG.F4DFCB$102.E.GF.EDG2F3.GH4GHG.F.F2GCFB$96.A.2B.A.G.2HD.F2.HG9.F.2CH.2BF$97.B.CBAG4.3H2.2G4.3F6.FH.G$96.A.C.2D.H24.H.G.FE$96.A3.FG.H5.G.G.H5.E7.2H.G$95.ABCDA2E.H2.H5.F13.G4.FED$99.B2DG9.H$96.B.DAEFCE.2H9.HG$97.CADA.BG.H9.HE.F$95.AB.3C.F.GF8.F2G$101.B.2F.E8.2EFE$96.A.2B18.D$97.A2.A$$$$$$$$$$100.B$100.C$96.A.C2A.C2.A$26.FG67.B.C.3D.C.B$25.3FH5.H60.BC2.2BA.ACB$25.GEFH67.BD.3E.D2.A$26.2HE66.2ADE2.CED2A$24.FE3.G68.D3FGCB$22.ACBG.G69.2HGFH$21.B2ADH2G.G66.HG.2H3.H$22.C.DED3.2H64.H4.H$22.C.CFDG54.A$24.DEDFH48.3A2.B$23.C.2BCH13.2HG35.B3.BA$23.B53.2B2.3C.A$24.2A50.B.C3.A.BA7.H$76.BC.DB3D$78.DE2AE.D$77.A2.FGFED.2H$77.DECFB4H.GH$76.AC2BFG4.F.H$76.A.BECE5.H$78.BD.D4.G.G12.A3.A$77.A.3C6.F13.BCB$82.B17.A.BDB2DE$79.2B5.H15.BCEA.F$81.A5.H13.A.EAF.G.FE$86.H2.H.GH10.EFG3.G$87.H16.2E3HF.C$83.EGF2HGF19.2DA.A$85.2F.H16.G.2HFE.B$82.H2.F2.EH4.E9.D.G.EGDCB.A$85.FG.G2H2.FC.2D6.E2F.ABC.B.A$86.2CH2G2.GFD.ED9.A.2B$84.ECFDC.3H.F2AF2G32.H$85.CDFGE2.EGFB.EDH$86.2CFE.GBECEB.H$87.2E2.D.C.2DBHA.FG.E32.A$92.B.C2.C.3HDF2C6.A20.H5.A$45.A2.A42.A.B2.B.B.EBGF.DCA.2B.B.C2.A18.3B$46.2B.A42.A3.B.F2G.2CE.C4.CA.D.CB15.BC2.C.A$43.AB4.A42.A3.BC.2EF2ECDB2.AC.D.E.DB14.3B2DAC$43.A.3CAB48.D2CB2.C2B.A.CDE.2CEA13.ACD.E3.C$43.ABD.DC2F42.2B2.2ADC2DAB5.C2.3F16.E2F.E.D$43.A2.E.FGHGF39.BACB4DBD2BC7.CGHG17.GD2.ED.CB$44.DBECFD2.E5.H33.BC2.AECBEBCB5.ACDEF11.H5.H.HGDF.D.2A$46.E.FCHE.ED38.BD.E.2FCDC5.AB.A2.H16.H2.G.F2.C2A$47.C.G.HGF39.BDE.2C2.FEAC3.A.BCDEH2.H3.H7.GH.F.G2DEA.BA$46.CEFE2G41.B.DFH3G2D.C4.2A3.F2G2.G13.HEFD.C$47.3D43.B2CFG2.HFD2.B13.GH.G3.HF.BA4.ABC.B$45.BC3.C41.A.A2.F2.F.EC13.F2.2G3.CGDC6.A.2B$47.AC.B45.E2.H23.2HDGEC.BA$47.AB.A21.B50.EFG.EC$71.DC50.EC2FD.BA$60.2H2.F.E4.EC2FD.BA44.DC$62.H.G.F4.EFG.EC31.H15.B$52.D2CDE5.H.G6.2HDGEC.BA19.G2.F3.H$53.E2F6.H5.2G3.CGDC6.A.2B13.2H6.G6.B$53.E.G6.H.G2.GH.G3.HF.BA4.ABC.B14.2G2H2.G4.EDC$53.EGH.2F4.EG2.G13.HEFD.C13.2HG6.C.GFC2.A$53.EGDH3.E3G.H3.H7.GH.F.G2DEA.BA11.H.H3.C2HDHFBEDCA$52.EF3.H2FH2EF15.H2.G.F2.C2A15.H.BDEFGF.B.B$49.B2.E.F.2G3F2GF9.H5.H.HGDF.D.2A18.DCEA.ED.B.A$49.CAD.DAF.E.2EGH18.GD2.ED.CB18.B3DBD.CB.A$49.CD.D.B2CFD2.2E17.E2F.E.D20.A.2A3.C.B.A$50.B3.B2.3E19.ACD.E3.C21.3C2.2B$47.2EF2EBD2.D2AC20.3B2DAC20.AB3.B$46.F2GABCEA4.DCA20.BC2.C.A20.A.B2.3A$48.E.GF.D2C.3B24.3B23.A$37.B9.3HDF2CA.B3.A20.H5.A$37.C.2D5.H2.FG.E.AB3.A25.A$37.CDE.D4.H8.4A$31.2BD2.2FGFED5.H$30.BACE.F3.2HG3.F2G32.H$30.BC.E2.GHE2DGC13.A.2B$30.ABD.F.G4.F10.E2F.ABC.B.A$31.BD.F.G2.H12.D.G.EGDCB.A$30.B.BE2.GH15.G.2HFE.B$29.A.C.D.F.F19.2DA.A$31.C.D.3E14.2E3HF.C$9.D2.B18.B2.D16.EFG3.G$9.E2C24.D12.A.EAF.G.FE$2.A2.A.E2.CED37.BCEA.F$.A.2B3.3F.D35.A.BDB2DE$4.D.BE.G.EG37.BCB$AB.2C2E.GE2H37.A3.A$3.2BFCG.D3.H$AB.DCFCDHC56.C.B$.A.AECG.HB45.G10.DEC$2.C.E.GCH46.H8.2GDF$3.D.FEDHF45.H8.HEGF$A.B.D2.G2.G54.H2CD$AB.BD3.B32.H17.H3.G.DFDE$2.C2.E.ECH2.G52.HF$2.CD2.FDG.2H50.F.HEG$4.E.FDGC53.G.D$4.E.FDGC53.G.D$2.CD2.FDG.2H50.F.HEG$2.C2.E.ECH2.G52.HF$AB.BD3.B32.H17.H3.G.DFDE$A.B.D2.G2.G54.H2CD$3.D.FEDHF45.H8.HEGF$2.C.E.GCH46.H8.2GDF$.A.AECG.HB45.G10.DEC$AB.DCFCDHC56.C.B$3.2BFCG.D3.H$AB.2C2E.GE2H37.A3.A$4.D.BE.G.EG37.BCB$.A.2B3.3F.D35.A.BDB2DE$2.A2.A.E2.CED37.BCEA.F$9.E2C24.D12.A.EAF.G.FE$9.D2.B18.B2.D16.EFG3.G$31.C.D.3E14.2E3HF.C$29.A.C.D.F.F19.2DA.A$30.B.BE2.GH15.G.2HFE.B$31.BD.F.G2.H12.D.G.EGDCB.A$30.ABD.F.G4.F10.E2F.ABC.B.A$30.BC.E2.GHE2DGC13.A.2B$30.BACE.F3.2HG3.F2G32.H$31.2BD2.2FGFED5.H$37.CDE.D4.H$37.C.2D5.H2.FG.E32.A$37.B9.3HDF2C6.A20.H5.A$48.EBGF.DCA.2B.B.C2.A18.3B$46.F2GA2CE.C4.CA.D.CB15.BC2.C.A$45.C.2EF2ECDB2.AC.D.E.DB14.3B2DAC$46.D2CB2.C2B.A.CDE.2CEA13.ACD.E3.C$41.2B.A2.DC2DAB5.C2.3F16.E2F.E.D$40.BACB4DBD2BC7.CGHG17.GD2.ED.CB$40.BC2.AECBEBCB5.ACDEF11.H5.H.HGDF.D.2A$41.BD.E.2FCDC5.AB.A2.H16.H2.G.F2.C2A$41.BDE.2C2.FEAC3.A.BCDEH2.H3.H7.GH.F.G2DEA.BA$41.B.DFH3G2D.C4.2A3.F2G2.G13.HEFD.C$41.B2CFG2.HFD2.B13.GH.G3.HF.BA4.ABC.B$40.A.A2.F2.F.EC13.F2.2G3.CGDC6.A.2B$44.E2.H23.2HDGEC.BA$71.EFG.EC$71.EC2FD.BA$71.DC$56.H15.B$47.G6.H$48.2H$50.G2H$48.2H4.H.H2.G$49.H5.2H2.EHD$48.2FH6.H.F.2FE$47.FG.F.E2.H5.H.G$47.F.GEHE6.G2EHG$48.3E.HD2H2.G.G.G$47.DC2F.H4.GHF2.G$50.G7.G4.D$47.CDE.H8.2HEGC2.C$60.DEF.EBDB$60.D2HFG2BD$49.H10.C.2E2DC.D$59.H4.H3E.D$61.2H.DFDF.D$64.HDG2.E$64.HEGBFD$64.HEGCFD$61.G2.HEGC.E$62.2H.F.F.D$65.3E.D$64.D3.D$53.H2.GH6.C.D$53.H10.B.C$53.G!
In this rule, it appears that even when multiple spaceships, oscillators, or "puffers" are made to interact, they continue to function as originally intended—provided that their core structures remain intact—without their overall behavior being disrupted.

https://codepen.io/ichimonzi/full/vEXbGOw?r=km02
*You can view various patterns under the "- patterns -" section.
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