ConwayLife.com

Posted: **August 17th, 2020, 1:07 pm**

I remember seeing FattyLife and another rule with OWSSes a few years ago, and I thought to myself: "How many XWSSes can one rule support at once?"
This rule has the LWSS, the MWSS, the HWSS, the 3-OWSS, the 5-OWSS, the 6-OWSS, the 7-OWSS, and the 8-OWSS. I couldn't find a way to support the 4-OWSS without breaking compatibility with the LWSS and the MWSS though (It's called the XWSS challenge and not the OWSS challenge because the LWSS, MWSS, and the HWSS still count, too.).

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x = 14, y = 109, rule = B3aji4nqty5enr6i/S2-an3-ky4n5e
2bo2bo$6bo$2bo3bo$3b4o5$4bo$2bo3bo$7bo$2bo4bo$3b5o6$4b2o$2bo4bo$8bo$
2bo5bo$3b6o9$4b3o$2bo5bo$9bo$2bo6bo$3b7o10$5b5o$3bo7bo$12bo$3bo8bo$4b
9o9$5b6o$3bo8bo$13bo$3bo9bo$4b10o2$5bo$4bo$4bo10$3bo3$3b7o$bo9bo$12bo$
bo10bo$2b11o2$5bo2$3b2o$2b3o7$3bo$2bo3$2b8o$o10bo$12bo$o11bo$b12o2$5b
o$2bo$4bo$2b3o!

Can you do better? Puffers count too.
Bonus points if you can support the UWSS, although it'll have to be diagonal.
EDIT: Alternate stabilization for 3-OWSS allows me to make this rule for LWSS through 7-OWSS:

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x = 12, y = 86, rule = B3aijky4knrtw5nr6ain/S2eik3-cy4irt5q
o2bo$4bo$o3bo$b4o6$2bo$o3bo$5bo$o4bo$b5o7$2b2o$o4bo$6bo$o5bo$b6o10$2b
3o$o5bo$7bo$o6bo$b7o8$2b4o$o6bo$8bo$o7bo$b8o7$2b5o$o7bo$9bo$o8bo$b9o
8$2b6o$o8bo$10bo$o9bo$b10o8$2b7o$o9bo$11bo$o10bo$b11o!

Posted: **August 17th, 2020, 8:13 pm**

B3aji4nqty5enr6i/S2eik3-ky4n5e
I don’t know what this is(known)

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 x = 21, y = 27, rule = B34-iqr7c/S23-a4i
12b2o2bo$11bo5bo$15bobo$13b5o10$o$o$o5$13bobobo$13b2o4bo$12bo7bo$18bob
o$12b9o$11bo$11bo!

Posted: **August 17th, 2020, 9:43 pm**

yujh wrote: August 17th, 2020, 8:13 pm B3aji4nqty5enr6i/S2eik3-ky4n5e
I don’t know what this is(known)
Code: Select all
 x = 21, y = 27, rule = B34-iqr7c/S23-a4i
12b2o2bo$11bo5bo$15bobo$13b5o10$o$o$o5$13bobobo$13b2o4bo$12bo7bo$18bob
o$12b9o$11bo$11bo!

it's a flotilla not a weightship

Posted: **August 17th, 2020, 10:05 pm**

15, including 3 puffers (the longest is 26):

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x = 27, y = 311, rule = B3aij4nt5nr6i/S2-ac34inrtz
25bo$26bo$22bo3bo$23b4o9$25bo$26bo$21bo4bo$22b5o12$25bo$26bo$20bo5bo$
21b6o9$25bo$26bo$19bo6bo$20b7o10$25bo$26bo$17bo8bo$18b9o9$25bo$26bo$
15bo10bo$16b11o17$25bo$26bo$14bo11bo$15b12o11$25bo$26bo$12bo13bo$13b
14o17$25bo$26bo$11bo14bo$12b15o17$25bo$26bo$10bo15bo$11b16o21$25bo$26b
o$9bo16bo$10b17o20$25bo$26bo$8bo17bo$9b18o24$25bo$26bo$7bo18bo$8b19o
23$25bo$26bo$5bo20bo$6b21o29$25bo$26bo$2bo23bo$3b24o34$25bo$26bo$o25bo
$b26o!

Posted: **August 18th, 2020, 1:23 am**

P40

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x = 16, y = 16, rule = B3aij4nt5nr6i_S2-ac34inrtz
bo10b2obo$2bo3b3ob2obobo$b2o3bo5bo2bo$bobo2bo4bo2bo$4o2b2o3bo2b2o$2obo
3bo4bo2bo$2b2obob5obo$2o2bob2o$obo2b3obo2bob2o$5b2obo2bobobo$2bo3b2o3b
3obo$2bo4bobo3b2o$2o4b3o6bo$obobobobob4o$3b5ob2o3bo$2bo2bob2o3b2obo!

xq8

Code: Select all

x = 16, y = 16, rule = B3aij4nt5nr6i_S2-ac34inrtz
b2obob2o3bob3o$o4bobob5obo$4obobo2b2ob3o$ob7obo$2ob2obo2b6o$2obo4b2o2b
2o$2o8b5o$4bobo3b5o$ob3o2bob3o$bo4b2o2b2obobo$2bob3ob5obo$bo2b3obo2bo
2b2o$2ob2o2b2o3bob2o$4bo4b2ob3o$3o2b4o2b2o$2ob3obo2b5o!

Posted: **August 18th, 2020, 9:40 am**

Someone made something like this a long time ago:

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@RULE XWSSHaven



@TABLE
neighborhood: Moore
symmetries: rotate4reflect
n_states: 3

var any.0 = {0,1,2}
var any.1 = any.0
var any.2 = any.0
var any.3 = any.0
var any.4 = any.0
var any.5 = any.0
var any.6 = any.0
var any.7 = any.0
var _a0.0 = {0,2}
var _a0.1 = _a0.0
var _a0.2 = _a0.0
var _a0.3 = _a0.0
var _a0.4 = _a0.0

0, 1, 1, _a0.0, 1, _a0.1, _a0.2, _a0.3, _a0.4, 1
0, 1, _a0.0, _a0.1, 1, _a0.2, 1, _a0.3, _a0.4, 1
0, _a0.0, 1, _a0.1, 1, _a0.2, 1, _a0.3, _a0.4, 1
0, 1, 1, 1, _a0.0, _a0.1, _a0.2, _a0.3, _a0.4, 1
0, 1, 1, _a0.0, _a0.1, _a0.2, _a0.3, 1, _a0.4, 1
0, 1, _a0.0, _a0.1, 1, 1, _a0.2, _a0.3, _a0.4, 1
0, 1, 1, _a0.0, _a0.1, _a0.2, _a0.3, _a0.4, 1, 1
0, 1, _a0.0, 1, _a0.1, 1, _a0.2, _a0.3, _a0.4, 1
0, 1, _a0.0, 1, _a0.1, _a0.2, 1, _a0.3, _a0.4, 1
0, 1, 1, _a0.0, _a0.1, _a0.2, 1, _a0.3, _a0.4, 1
0, 1, 1, _a0.0, 1, 1, 1, _a0.1, 1, 1
0, 1, 1, 1, 1, _a0.0, 1, _a0.1, 1, 1
0, 1, 1, 1, _a0.0, 1, 1, 1, _a0.1, 1
0, 1, 1, 1, 1, 1, _a0.0, 1, _a0.1, 1
0, 1, 1, 1, 1, 1, _a0.0, _a0.1, 1, 1
0, 1, 1, 1, _a0.0, 1, 1, _a0.1, 1, 1
0, 1, 1, _a0.0, _a0.1, 1, _a0.2, _a0.3, 1, 1
0, 1, 1, _a0.0, 1, _a0.1, _a0.2, _a0.3, 1, 1
0, 1, 1, _a0.0, 1, 1, _a0.1, _a0.2, 1, 1
1, 2, any.0, any.1, any.2, any.3, any.4, any.5, any.6, 0
1, any.0, 2, any.1, any.2, any.3, any.4, any.5, any.6, 0
1, 0, 0, 0, 0, 0, 1, 1, any.0, 1
1, 0, 0, 0, 0, 0, 1, any.0, 1, 1
1, 0, 0, 0, 0, 1, 0, 1, any.0, 1
1, 0, 0, 0, 0, 1, 0, any.0, 1, 1
1, 0, 0, 0, 0, 1, 1, 0, any.0, 1
1, 0, 0, 0, 0, 1, 1, any.0, 0, 1
1, 0, 0, 0, 0, 1, any.0, 0, 1, 1
1, 0, 0, 0, 0, 1, any.0, 1, 0, 1
1, 0, 0, 0, 0, any.0, 0, 1, 1, 1
1, 0, 0, 0, 0, any.0, 1, 0, 1, 1
1, 0, 0, 0, 1, 0, 0, 1, any.0, 1
1, 0, 0, 0, 1, 0, 0, any.0, 1, 1
1, 0, 0, 0, 1, 0, 1, 0, any.0, 1
1, 0, 0, 0, 1, 0, any.0, 0, 1, 1
1, 0, 0, 0, 1, 1, 0, 0, any.0, 1
1, 0, 0, 1, 0, 0, 0, 1, any.0, 1
1, 0, 0, 1, 0, 0, 0, any.0, 1, 1
1, 0, 0, 1, 0, 0, 1, 0, any.0, 1
1, 0, 0, 1, 0, 1, 0, 0, any.0, 1
1, 0, 0, 1, 0, 1, 0, any.0, 0, 1
1, 0, 0, 1, 0, any.0, 0, 0, 1, 1
1, 0, 0, 1, 0, any.0, 0, 1, 0, 1
1, 0, 0, 1, 1, 0, 0, any.0, 0, 1
1, 0, 0, any.0, 0, 0, 1, 0, 1, 1
1, 0, 0, 0, 0, 0, 0, 1, 0, 2
1, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 0
2, any.0, any.1, any.2, any.3, any.4, any.5, any.6, any.7, 0

Code: Select all

x = 352, y = 4, rule = XWSSHaven
A349.A$351.A$A350.A$.351A!

It's B34tn5r6/S23, except cells dying from 1e become killer cells
Weird ship

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x = 291, y = 289, rule = XWSSHaven
73.2A4$71.10A4$69.18A4$67.26A4$65.34A4$63.42A4$61.50A4$59.58A4$57.66A
4$55.74A4$53.82A4$51.90A4$49.98A4$47.106A4$45.114A4$43.122A4$41.130A
4$39.138A4$37.146A4$35.154A4$33.162A4$31.170A4$29.178A4$27.186A4$25.
194A4$23.202A4$21.210A4$19.218A4$17.226A4$15.234A4$13.242A4$11.250A4$
9.258A4$7.266A4$5.274A4$3.282A4$.290A$A289.A$290.A$A288.A$2.286A4$4.
278A4$6.270A4$8.262A4$10.254A4$12.246A4$14.238A4$16.230A4$18.222A4$
20.214A4$22.206A4$24.198A4$26.190A4$28.182A4$30.174A4$32.166A4$34.
158A4$36.150A4$38.142A2$200.B$200.2A$40.134A25.2A4$42.126A4$44.118A4$
46.110A4$48.102A4$50.94A4$52.86A4$54.78A4$56.70A4$58.62A4$60.54A4$62.
46A4$64.38A4$66.30A4$68.22A4$70.14A4$72.6A!

Posted: **May 28th, 2022, 9:17 pm**

Currently seeing if longer XWSSes in B3aij4nt5nr6i/S2-ac34inrtz make interesting stuff.
Edit 1:Lots of unstable XWSSes turn out to turn into MWSSes! A few examples are:8WSS, 10WSS, 12WSS, and 23WSS. Edit 8:Any XWSS longer than length 37 evolves into the 9WSS, so it would be 9WSS
Any explanations if why the period of the spaceships always increases?

Edit 2: Could there be another XWSS lurking around in the sea of *WSSes? Edit 6:Probably no. Edit 7:No

Edit 3:The 30WSS is the smallest Edit 10: and the only OWSS that doesn't evolve into a different OWSS.

Edit 4:Someone should make a search program that picks a random number between 30 and say, 2000 and then see if it makes any interesting results because I feel like I'm tired of this XWSS recording business. Now I'm at 33WSS. Edit 9: Don't do that

Edit 5:B3aij4nt5nr6i/S2-ac34inrtz
XWSS
3WSS Nothing xs0
4WSS 4WSS xq4
5WSS 5WSS xq4
6WSS 6WSS xq4
7WSS 7WSS xq8
8WSS 5WSS xq4
9WSS 9WSS xq12
10WSS 5WSS+Blinker xq4
11WSS 11WSS+2xBlinker yl12
12WSS 12WSS xq12
13WSS 5WSS xq4
14WSS 14WSS xq12
15WSS 15WSS xq12
16WSS 16WSS xq12
17WSS 17WSS xq12
18WSS 18WSS xq12
19WSS 19WSS+4xBlinker yl24
20WSS 20WSS xq24
21WSS 21WSS+2xBlinker yl24
22WSS 9WSS+2xBlock+3xBlinker+xp2_36 xq12
23WSS 5WSS+2xBlinker xq4
24WSS 24WSS+2xBlock yl48
25WSS 19WSS+xp2_36 yl24
26WSS 26WSS xq48
27WSS 15WSS+xp2_1t1 xq12
28WSS 5WSS+2xBlinker xq4
29WSS 5WSS+4xBlinker xq4
30WSS 4xBlinker+3xxp2_36 xp2!
31WSS 5WSS+Block+5xBlinker+ 2xxp2_36 xq4
32WSS 5WSS+4xBlinker+xp2_36 xq4
33WSS 15WSS+2xBlinker+2xxp2_36 xq12
34WSS 20WSS+2xBlinker xq24
35WSS 20WSS+6xBlinker+2xxp2_36+xp2_1t1 xq24
Sorry for the bad formatting. I had to copy a table in notes and paste it here. For the puffer ones, I just post what happens in one period

Posted: **May 29th, 2022, 6:34 pm**

Help!

Code: Select all

x = 10, y = 5, rule = B3-n4nt5inr6i/S2-c34inr
3b5o$bo7bo$o$o8bo$9o!

Posted: **April 16th, 2025, 11:04 am**

wwei23 wrote: August 17th, 2020, 1:07 pm [...] Can you do better? [...]

Not sure about "better", but I can do it differently:

Code: Select all

#C Two-state isotropic cellular automaton, defined using a fully-symmetric weighted neighbourhood that's a subset of "range-3 Moore"
#C Neighbour weights (given in hexadecimal; '51' means 81):
#C 01 -- -- 01 -- -- 01
#C -- 51 51 51 51 51 --
#C -- 51 09 09 09 51 --
#C 01 51 09 -- 09 51 01
#C -- 51 09 09 09 51 --
#C -- 51 51 51 51 51 --
#C 01 -- -- 01 -- -- 01
x = 52, y = 44, rule = R3,C0,S18-28,30-35,99-116,180-197,261-278,342-359,423-440,504-521,585-602,666-683,747-764,828-845,909-926,990-1007,1071-1088,1152-1169,1233-1250,1314-1331,B27-30,32-35,108-110,113-116,189-197,270-278,288-289,351-359,432-440,451,513-521,594-602,675-683,695,756-764,837-845,918-926,999-1007,1080-1088,1161-1169,1242-1250,1323-1331,NW01000001000001005151515151000051090909510001510900095101005109090951000051515151510001000001000001
47bo2bo$26b3o22bo$24bo5bo16bo3bo$31bo16b4o$24bo6bo$25b7o2$3b3o$3b3o$3b
3o$3o$3o45bo$3o43bo3bo$51bo$46bo4bo$47b5o6$25b4o$23bo6bo$31bo15b2o$23b
o7bo13bo4bo$24b8o19bo$45bo5bo$46b6o$25b2o2$bo$bo$obo$bo$bo$bo$bo$obo$b
o$bo45b3o$45bo4bo$30bo15b2o3bo$31bo13bo4bo$29b3o15b3o!
#C [[ GRID THEME MCell ]]

Several spaceships from the first post, found in a two-state isotropic cellular automaton with weighted "range-2 Moore" neighbourhood:

Code: Select all

#C Neighbour weights (given in hexadecimal; '11' means 17; '55' means 85):
#C 01 01 01 01 01
#C 01 55 11 55 01
#C 01 11 -- 11 01
#C 01 55 11 55 01
#C 01 01 01 01 01
x = 28, y = 56, rule = R2,C0,S34-67,102-135,170-172,174-203,255-271,277,B51-54,56-57,60-67,119-135,187-203,212,224,255-271,275-276,278-280,282,292,299-300,376,383-384,NW01010101010155115501011100110101551155010101010101
17bo2bo$21bo$17bo3bo$18b4o5$19bo$17bo3bo$22bo$17bo4bo$18b5o6$19b2o$17b
o4bo$23bo$17bo5bo$18b6o9$17b2ob2o$23bo$24bo$17bo6bo$18b7o2$18b3o10$bo
19b2obo$2bo16bo6bo$3o24bo$18bo8bo$19b9o$20bobo$19bo3bo$20bobo$21bo!
#C [[ GRID THEME MCell ]]

Another possibility, the weighted neighbourhood is a subset of "range-2 Moore":

Code: Select all

#C Neighbour weights (given in hexadecimal; '2D' means 45):
#C 01 -- 01 -- 01
#C -- 09 2D 09 --
#C 01 2D -- 2D 01
#C -- 09 2D 09 --
#C 01 -- 01 -- 01
x = 26, y = 40, rule = R2,C0,S18-35,54-71,90-107,135-143,B27-35,63-72,74,76,99-107,112,117,127,135-143,NW010001000100092D0900012D002D0100092D09000100010001
18bo2bo$22bo$18bo3bo$19b4o6$20bo$18bo3bo$23bo$18bo4bo$19b5o7$20b2o$18b
o4bo$24bo$18bo5bo$19b6o10$20b3o$18bo5bo$25bo$bo16bo6bo$2bo16b7o$3o!
#C [[ GRID THEME MCell ]]

Crossposting other examples:

hotcrystal0 wrote: February 28th, 2025, 8:27 am
confocaloid wrote: February 27th, 2025, 10:59 pm EDIT: it is also possible to add glider 3736 to that, which also (unintentionally) adds an alien 3c/8o spaceship:
Code: Select all
x = 80, y = 37, rule = R2,C0,S163-294,585,B166,244-290,335,416-424,434-437,NW09010901090151515101095100510901515151010901090109
76b3o$76bobo$75b4o15$75b3o$73bo4bo$74b2o3bo$73bo4bo$75b3o10$75b2o$56bo
16bo4bo$3o18bo13bo2bo15bo3bo20bo$o21bo16bo19bo13bo5bo$o19b3o12bo3bo14b
o4bo14b6o$36b4o15b5o!
#C [[ GRID THEME MCell ]]
The overweight spaceship with a 3-cell “spark” works:
Code: Select all
x = 8, y = 5, rule = R2,C2,S163-294,585,B166,244-290,335,416-424,434-437,NW09010901090151515101095100510901515151010901090109
2b3o$o5bo$7bo$o6bo$b7o!

Posted: **June 10th, 2026, 6:12 am**

I would like to nominate my rule Haven for this challenge.

Sorry for the fact that it has been over a year since the last post was made.

ConwayLife.com

XWSS Challenge

XWSS Challenge

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Re: XWSS Challenge

Re: XWSS Challenge