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Rules with Mutant XWSSes

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Re: Rules with Mutant XWSSes

Posted: December 7th, 2024, 3:00 am
by b-engine
Puffer that puffs spinning LWSSes:

Code: Select all

x = 65, y = 23, rule = B2e3ai5j/S2-in3ijnr4i
22b3o$22bobo$22bo$4bo5bo5bo6bo$4bobo4bo5bobo2b2obo$4b3o13bo2b3o$6b2o$
17b3obo15b3o$17bo3bo15bobo$17b2ob2o15bo$25bo5bo6bo$16bo5bo3bobo3bobo2b
2obo$17bo5bo5bo5bo2b3o20bo$59b4o$59bo2b2o$33b2o23bobo$27b2o3b4o$26bo2b
o2bob2o7bo5bo5bo5bo$15b3o8b2obo2b2o6bobo3bobo3bobo3bobo2bo$2b2o11bobo
21bo5bo5bo5bo5b2o$2ob2o12bo44b2o$4o12b2o$b2o!

Re: Rules with Mutant XWSSes

Posted: December 7th, 2024, 12:49 pm
by ThrashBin
Almost a 2-state XWSSHaven...

Code: Select all

x = 26, y = 49, rule = B3-ceqy4knt5einr6ci/S2-c3-aqy5e
13bo2bo$12bo4bo$12bo4bo$12b6o14$bo2bo$o4bo$o4bo$6o2$6o$o4bo$o4bo$bo2b
o6$24bo$25bo$19bo5bo$20b6o4$24bo$25bo$20bo4bo$21b5o4$24bo$25bo$21bo3b
o$22b4o!

Re: Rules with Mutant XWSSes

Posted: February 28th, 2025, 8:27 am
by hotcrystal0
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:

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x = 8, y = 5, rule = R2,C2,S163-294,585,B166,244-290,335,416-424,434-437,NW09010901090151515101095100510901515151010901090109
2b3o$o5bo$7bo$o6bo$b7o!

Re: Rules with Mutant XWSSes

Posted: March 7th, 2025, 8:25 pm
by confocaloid
edit: corrected ("heavyweight" -> "middleweight"), see next post.

Here are period-4 "lightweight oscillator" and "middleweight oscillator", I don't know whether there are any naturally occurring spaceships in this CA:

Code: Select all

x = 26, y = 5, rule = R3,C0,S26-51,144-168,248,260,262-285,377,379-402,494-519,611-636,728-753,845-870,962-987,1079-1104,1196-1221,1313-1338,1430-1455,1547-1572,1664-1689,1781-1806,1898-1923,2015-2040,2132-2157,2249-2274,2366-2391,B26-27,39-51,135,145,156-158,160-168,183,263,273,276,278-285,300,390-402,485,507-519,624-636,741-753,858-870,975-987,1092-1104,1209-1221,1326-1338,1443-1455,1560-1572,1677-1689,1794-1806,1911-1923,2028-2040,2145-2157,2262-2274,2379-2391,NW017575007575017575010001757575010D0D0D017500000D000D000075010D0D0D01757575010001757501757500757501
23bo$bo2bo16bo3bo$o19bo$o3bo15bo4bo$4o16b5o!
Here is a period-4 "heavyweight oscillator" coexisting with the glider and the block:

Code: Select all

x = 13, y = 20, rule = R3,C0,S51,152-176,276-311,430,555,651,682-801,937,1032,B157,277,301,426,527-542,631,776-777,906-926,1032,1162,1306,NW007D0005007D007D7D7D7D7D7D7D007D0119017D00057D1900197D05007D0119017D007D7D7D7D7D7D7D007D0005007D00
3b2o$bo4bo$o$o5bo$6o13$bo$o10b2o$3o8b2o!
p4 orthogonal c/2 "LWSS" spaceship

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x = 5, y = 4, rule = R3,C0,S249,378-391,508-522,613-639,730,B133,277,379-390,483,508-510,599,612,755,NW750175757501750100750D7500017575010D017575750D0D000D0D757575010D0175750100750D75000175017575750175
bo2bo$o$o3bo$4o!
p4 orthogonal c/2 "MWSS" spaceship:

Code: Select all

x = 6, y = 5, rule = R3,C0,S181-191,270,333,424,452-505,595-606,758,B101,261,271,344,352-369,416,432,506,587,659,678,759,NW00515101515100510151515101515151090909515101510900095101515109090951515101515151015100515101515100
3bo$bo3bo$o$o4bo$5o!
p4 diagonal c/4 "glider" spaceship:

Code: Select all

x = 3, y = 3, rule = R2,C0,S7-127,136,B8,132-136,151,NW197D007D197D0501057D00010001007D0501057D197D007D19
bo$o$3o!

Re: Rules with Mutant XWSSes

Posted: April 3rd, 2025, 3:26 am
by b-engine
confocaloid wrote: March 7th, 2025, 8:25 pm Here are period-4 "lightweight oscillator" and "heavyweight oscillator", I don't know whether there are any naturally occurring spaceships in this CA:

Code: Select all

Correction: the oscillator at the right is middleweight.


I'm trying to add "heavyweight oscillator" and "featherweight oscillator", but the neighborhood specification is too complex for me to comprehend:

Code: Select all

x = 36, y = 5, rule = R3,C2,S26-51,144-168,248,260,262-285,377,379-402,494-519,611-636,728-753,845-870,962-987,1079-1104,1196-1221,1313-1338,1430-1455,1547-1572,1664-1689,1781-1806,1898-1923,2015-2040,2132-2157,2249-2274,2366-2391,B26-27,39-51,135,145,156-158,160-168,183,263,273,276,278-285,300,390-402,485,507-519,624-636,741-753,858-870,975-987,1092-1104,1209-1221,1326-1338,1443-1455,1560-1572,1677-1689,1794-1806,1911-1923,2028-2040,2145-2157,2262-2274,2379-2391,NW017575007575017575010001757575010d0d0d017500000d000d000075010d0d0d01757575010001757501757500757501
b6o6b5o6b4o6b2o$o5bo5bo4bo5bo3bo5bobo$6bo10bo9bo7bo$o4bo6bo3bo6bo2bo$
2b2o10bo!
Note to self: this is the neighborhood weight specification:

Code: Select all

01 75 75 00 75 75 01 
75 75 01 00 01 75 75 
75 01 0D 0D 0D 01 75 
00 00 0D 00 0D 00 00 
75 01 0D 0D 0D 01 75 
75 75 01 00 01 75 75 
01 75 75 00 75 75 01
EDIT:
A 18c/60 wave in a rule that supports "spinning LWSS":

Code: Select all

x = 13, y = 15, rule = B2ei3ai5j6n/S2-in3ijnr4i:T0,24
10b3o$12bo$10b3o2$b2o$4o$2ob2o$2b2o5$10b3o$12bo$10b3o!

Re: Rules with Mutant XWSSes

Posted: April 3rd, 2025, 7:00 pm
by CARuler
b-engine wrote: April 3rd, 2025, 3:26 am

I'm trying to add "heavyweight oscillator" and "featherweight oscillator", but the neighborhood specification is too complex for me to comprehend:

Code: Select all

x = 36, y = 5, rule = R3,C2,S26-51,144-168,248,260,262-285,377,379-402,494-519,611-636,728-753,845-870,962-987,1079-1104,1196-1221,1313-1338,1430-1455,1547-1572,1664-1689,1781-1806,1898-1923,2015-2040,2132-2157,2249-2274,2366-2391,B26-27,39-51,135,145,156-158,160-168,183,263,273,276,278-285,300,390-402,485,507-519,624-636,741-753,858-870,975-987,1092-1104,1209-1221,1326-1338,1443-1455,1560-1572,1677-1689,1794-1806,1911-1923,2028-2040,2145-2157,2262-2274,2379-2391,NW017575007575017575010001757575010d0d0d017500000d000d000075010d0d0d01757575010001757501757500757501
b6o6b5o6b4o6b2o$o5bo5bo4bo5bo3bo5bobo$6bo10bo9bo7bo$o4bo6bo3bo6bo2bo$
2b2o10bo!
In said rule:

Code: Select all

x = 27, y = 11, rule = R3,C2,S26-51,144-168,248,260,262-285,377,379-402,494-519,611-636,728-753,845-870,962-987,1079-1104,1196-1221,1313-1338,1430-1455,1547-1572,1664-1689,1781-1806,1898-1923,2015-2040,2132-2157,2249-2274,2366-2391,B26-27,39-51,135,145,156-158,160-168,183,263,273,276,278-285,300,390-402,485,507-519,624-636,741-753,858-870,975-987,1092-1104,1209-1221,1326-1338,1443-1455,1560-1572,1677-1689,1794-1806,1911-1923,2028-2040,2145-2157,2262-2274,2379-2391,NW017575007575017575010001757575010d0d0d017500000d000d000075010d0d0d01757575010001757501757500757501
o2bo$o2bo$o2bo$2bo4$20bo3bo$18bo2bobo2bo$18bo2bobo2bo$20bo3bo!

Re: Rules with Mutant XWSSes

Posted: April 17th, 2025, 7:15 am
by b-engine
b-engine wrote: April 16th, 2025, 9:50 pm Uhh...this sawtooth-shuttle-puffer-like thing seems to grow at sqrt(t):

Code: Select all

x = 3, y = 3, rule = B3-r4z5ckqry6n8/S234k5i6a
o$b2o$bo!
A real LWSS and a faked p6 LWSS:

Code: Select all

x = 6, y = 11, rule = B3-r4z5ckqry6n8/S234k5i6a
2ob2o$b2ob2o$b4o$2b2o4$3b2o$b2ob2o$b4o$2b2o!
Offtopic: I think that square root growth should be the most interesting thing I've ever discovered. Teaser: CA rulestring generator on Scratch

Re: Rules with Mutant XWSSes

Posted: April 17th, 2025, 8:24 am
by LittleLWSS
confocaloid wrote: March 7th, 2025, 8:25 pm p4 orthogonal c/2 "LWSS" spaceship

Code: Select all

Backward LWSS
p4 orthogonal c/2 "MWSS" spaceship:

Code: Select all

Backward MWSS
p4 diagonal c/4 "glider" spaceship:

Code: Select all

Backward Glider
I call them "deserters", from top to bottom, they're "LWDST(Lightweight deserter)", "MWDST(Middleweight deserter)" and "FWDST(Featherweight deserter)".

Re: Rules with Mutant XWSSes

Posted: May 18th, 2025, 9:00 am
by hotcrystal0
Reposting this:
ThePlayzr wrote: May 18th, 2025, 4:33 am This rule supports the OWSS, because of this, is this rule notable? or any variant of it? Although, it is 4c/8 instead of 2c/4.

Code: Select all

x = 0, y = 0, rule = B3-ceqr4/S2eik3-q
bo5bo$o$o6bo$7o!

Re: Rules with Mutant XWSSes

Posted: May 25th, 2025, 3:35 am
by LittleLWSS
一个奇怪的规则, and I have a challenge to create a Mutant LWSS in it:

Code: Select all

x=64, y=64, rule=B3-k4z8/S2-n3-kq4z5i6aei7e
!
[[ RANDOMIZE ]]

Re: Rules with Mutant XWSSes

Posted: May 25th, 2025, 8:45 am
by hotcrystal0
LittleLWSS wrote: May 25th, 2025, 3:35 am 一个奇怪的规则
Translating: “A strange rule”
Does this break rule 2a?

Re: Rules with Mutant XWSSes

Posted: October 8th, 2025, 9:01 pm
by hotcrystal0
Here are some mutants from B34/S23-a5j’s Catagolue page:

Code: Select all

x = 42, y = 48, rule = B34/S23-a5j
37bo2bo$41bo$38bo2bo$38b4o5$38bo$36bo3bo$41bo$38bo2bo$37b5o5$38bo$35b
2o3bo$33b2o6bo$33b2o3bo2bo$33b3ob5o$33b2o6$25bo$22bo3bo$26bo$22b7o7b3o
$24b5o5bo5bo$25b4o4bo7bo$22bo2bo7bo4bo2bo$24b2o8b8o2$19b3o13b3o$19b2o
bo$18bo3bo$18bo3bo2$20bo$bo$4o$o3bo$bo2bo$b3o!

Re: Rules with Mutant XWSSes

Posted: October 9th, 2025, 6:07 am
by ThePlayzr
b3-cknq/S2-n34eiq has a mutant XWSS:

Code: Select all

x = 7, y = 29, rule = B3-cknq/S2-n34eiq
bo2bo$o$o3bo$4o4$3bo$bo3bo$o$o4bo$5o4$3b2o$bo4bo$o$o5bo$6o5$bo3bo$o$o
4b2o$5o$2bo!
2 of the phases look nothing like an XWSS...
It still works if you remove S2c, but has different evolution:

Code: Select all

x = 7, y = 29, rule = B3-cknq/S2-cn34eiq
bo2bo$o$o3bo$4o4$3bo$bo3bo$o$o4bo$5o4$3b2o$bo4bo$o$o5bo$6o5$bo3bo$o$o
4b2o$5o$2bo!

Re: Rules with Mutant XWSSes

Posted: March 5th, 2026, 7:42 pm
by hotcrystal0
This looks strangely like a LWSS and I can't explain why.
b-engine wrote: March 5th, 2026, 5:45 pm I believe that this spaceship can exist in a strobing block rule:

Code: Select all

x = 6, y = 4, rule = B1c2a/S3a|B3i/S5i
2o2b2o$2o2b2o$4o$4o!

Re: Rules with Mutant XWSSes

Posted: March 8th, 2026, 5:59 pm
by B468S02357
This rule's mwss has an extra cell in one phase so it counts

Code: Select all

x = 20, y = 7, rule = B3-eky4ijtz5cey6i7e8/S2-in3-aek4enqyz5jkqr6i|B34/S23
11bo$b3o6b3o$o2bo5b2obo$2ob2o4b3o$2ob2o4b3o6bo$bobo6b2o6b2o$2bo14bobo
!

Re: Rules with Mutant XWSSes

Posted: March 9th, 2026, 4:03 am
by b-engine
hotcrystal0 wrote: March 5th, 2026, 7:42 pm This looks strangely like a LWSS and I can't explain why.
Shrunk versions exist in these INT rules:
b-engine wrote: March 9th, 2026, 3:53 am Which emulates these ships:

Code: Select all

x = 3, y = 2, rule = B1e2c4r/S2a
obo$2o!

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x = 4, y = 3, rule = B2a3nr5n/S3n
4o$3bo$obo!
They look like gliders or LWSSes.

Re: Rules with Mutant XWSSes

Posted: March 10th, 2026, 4:29 am
by ThePlayzr
This rule supports LWSS, MWSS, HWSS, 7WSS, 9WSS, 11WSS, 12WSS, mutant LWSS, and mutant HWSS:

Code: Select all

x = 27, y = 73, rule = B3-enqr4-aciqr5r6-a/S2-ac34n
bo2bo10bo2bo$o4bo8bo$o13bo3bo$5o9b4o4$17bo$15bo3bo$14bo$14bo4bo$14b5o
5$3b2o12b2o$bo4bo8bo4bo$o6bo6bo$o13bo5bo$7o7b6o6$17b3o$15bo5bo$14bo$14b
o6bo$14b7o7$17b5o$15bo7bo$14bo$14bo8bo$14b9o11$17b7o$15bo9bo$14bo$14b
o10bo$14b11o12$17b8o$15bo10bo$14bo$14bo11bo$14b12o!
It is a very boring rule though.
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