Enumerating inter-spaceship collisions

BokaBB · Post by **BokaBB** » February 21st, 2023, 6:59 am

Hey ya. I felt this topic was too complex to add to an existing thread. You can relocate it if you wish.

Do we have anything resembling a table of all 2 xWSS or xWSS-G collisions? These would be of great use I think. Perhaps also other things like 2-spaghetti monster collisions, if for no other reason than fun

!

confocaloid · Post by **confocaloid** » February 22nd, 2023, 4:34 pm

I'm not aware of any existing tabulation for xWSSes that would be similar in the spirit to "Patterns/Life/Syntheses/two-glider-collisions.rle" in Golly for two-glider collisions:

Code: Select all

#C the 71 distinct 2-glider collisions, grouped by what they produce
#C Thirteen preblocks (3-cell patterns that become blocks in one tick)
#C  have been added to keep active patterns from getting out of hand:
#C  see GLIDER, B, PI, TL+GLIDER, and 2-GLIDER MESS.
#C PI=pi-heptomino; B=B-heptomino; TL=traffic light; HF=honeyfarm;
#C LOM='lumps of muck': Jason Summers, 29 January 2005
x = 379, y = 369, rule = B3/S23
154bo36bo18bo$58bo18bo19bo16bo19bo18bo19bo16bo18bo36bo$57bo18bo19bo16b
o19bo19b3o16bo17b3o16b3o15bo17bo$57b3o16b3o17b3o14b3o17b3o36b3o51bo18b
3o$226b3o4$190bo$58b3o17b3o89bo18boo55bo$58bo19bo20bo17bo20bo13boo15b
oo18bobo14boo20bo16boo$59bo19bo18boo16boo19boo13bobo14bobo34bobo18boo
16bobo$98bobo15bobo18bobo12bo53bo20bobo$bo4bo3bobo3bobobobbo3bo3bo3bo
4bo4bobo$$bobobbobbo3bo4bo4bo3bo3bo3bobobbobbo$$bobbobobbo3bo4bo4bobob
o3bo3bobbobobbobbobo$$bo4bobbo3bo4bo4bo3bo3bo3bo4bobbo4bo266bo$269bo
22bo21bo62bo$bo4bo3bobo5bo4bo3bo3bo3bo4bo4bobo182bo15bo21bo22bo22b3o
18bo22bo17bo$229bo15bo22b3o20b3o40bo22bo18b3o$86bo16bo17bo16bo16bo15bo
17bo16bo22b3o13b3o86b3o20b3o$66bo18bo16bo17bo16bo16bo15bo17bo16bo$65bo
19b3o14b3o15b3o14b3o14b3o13b3o15b3o14b3o$65b3o4$224b3o15b3o59boo$76b3o
16b3o16b3o15b3o15b3o14b3o16b3o15b3o19bo17bo11boo23boo20bobo20boo40boo$
54b3o21bo18bo18bo17bo17bo16bo18bo17bo18bo17bo13boo23boo21bo21boo12boo
26boo$56bo20bo18bo18bo17bo17bo16bo18bo17bo50bo24bo44bo15boo24bo$55bo
285bo23$106bo157bo$74bo30bo157bo38bo$bbobo4bo6bo3bo4bobbo3bobbobobobbo
bo28bo15bo15b3o119bobobobbo28b3o14bo20bo$46bo26b3o12bo190bo21b3o$bbo3b
obbo6bo3bobobbobbobbo3bo6bo45b3o138bo4bo44b3o$46bo$bbobo4bo6bo3bobbobo
bbobo4bobobobbobo184bo4bo$$bbo3bobbo6bo3bo4bobbobbo3bo6bobbo183bo4bo$
305b3o$bbobo4bobobobbo3bo4bobbo3bobbobobobbo3bo61boo119bo4bobobo44bo
21bo$108bobo146boo23boo22bo$66boo21boo17bo149boo22bobo$65bobo21bobo
165bo$67bo21bo17$84bo15bo39bo153bo24bo19bo$bobo4bo7bobo4bobo3bo3bo28bo
20bo15bo39bo88bo3bobbobobo20bo16bo15bo24bo19bo$61bo21b3o13b3o15bo21b3o
17bo99bo16bo16b3o22b3o17b3o$bo3bobbo6bo3bobbo3bobbobbo28b3o52bo41bo69b
o3bobbo23b3o14b3o$116b3o39b3o$bobo4bo6bo3bobbo6bobo196bobobobbobobo$$b
o3bobbo6bo3bobbo3bobbobbo195bo3bobbo$$bobo4bobobo3bobo4bobo3bo3bo85b3o
106bo3bobbo$54b3o62bo17boo16bo103bo35boo35boo$56bo21boo15boo23bo16bobo
14boo102boo16boo17bobo11boo22boo$55bo23boo15boo39bo16bobo101bobo15bobo
16bo14boo20bo$78bo16bo180bo32bo6$73boo19boo$74bo20bo152boo$249bo7$64bo
233bo$63bo20bo194bo17bo$63b3o17bo166bo27bo18b3o$bbobo3bo6bo3bobo4bobob
obbobo47b3o143bobo17bo28b3o$37bo211b3o$o7bo6bo3bo3bobbo6bo195bo3bo$37b
o275boo$obbobobbo6bo3bo3bobbobobobbobo193bobo82bo$256boo$o4bobbo6bo3bo
3bobbo6bobbo192bo3bo23bo$80bo$bbobo3bobobobbo3bobo4bobobobbo3bo20boo
19boo148bobo18bo42boo$57bobo19bobo167boo13boo26bobo$59bo189bobo13boo
27bo$264bo14$252boo24boo$253bo25bo$258bo15bo$257bo15bo26bo$61bo195b3o
13b3o23bo$obo5bobo5bo4bobobo34bo167bobo4bo63b3o$60b3o169bo45bo24b3o$o
3bobbo3bo3bobo5bo204bo6bo41boo24bo$232bo44bobo24bo$obo4bo3bobbo3bo4bo
204bobo4bo19boo37boo$254bobo38bo$o3bobbo3bobbobobo4bo204bo6bo20bo$$obo
5bobo3bo3bo4bo204bo6bo$$53boo$54boo$53bo18$3bo3bo3bo3bo3bobbobobo30bo
169bo6bobo3bo5bo18bo$56bo207bo$3bo3bo3bo3bo3bobbo33b3o168bo5bo3bobbobo
bobo17b3o$$3bobobo3bo3bo3bobbobobo200bo5bo3bobbobbobbo$$3bo3bo3bo4bobo
3bo204bo5bo3bobbo5bo$$3bo3bo3bo5bo4bobobo32b3o165bobobobbobo3bo5bo$59b
o203bo$60bo201boo$262bobo17$67bo$66bo$4bo6bobo5bo4bobobo37b3o157bobobo
bbobobo4bo4bobo4bobo4bobo5bobo3bobo$251bo13bo13bo17bo$4bo5bo3bo3bobo3b
o203bo4bo7bobo3bo6bo3bobbo6bo3bobbo20bo$251bo13bo13bo16b3o$4bo5bo3bobb
o3bobbobobo199bo4bobobobbo3bobbobo4bo3bobbobo4bo3bobbobo$$4bo5bo3bobbo
bobobbo203bo4bo6bobobobbobbo3bo3bobbobbo3bo3bobbo$$4bobobobbobo3bo3bo
bbo203bo4bobobobbo3bobbo3bobbobo4bo3bo3bobo3bo$58boo239bo$57bobo238boo
$59bo238bobo16$59bo$58bo$58b3o264bo$3bobobo4bo4bobobobbobobobbobo193bo
3bo4bobbobobobbobobobbobo5bobo3bo3bo4bo4bo4bo4bobo3bobobo22bo$35bo221b
o66b3o$3bo7bobo5bo4bo6bo195bo3bobobbo4bo4bo6bo6bo3bobbo3bo3bobo3bobobb
obbo7bo$35bo221bo$3bobobobbo3bo4bo4bobobobbobo193bo3bobbobo4bo4bobobo
bbobo4bo6bobobobbo3bobbobbobobbobbobobbobobo$57bo$3bo6bobobo4bo4bo6bo
bbo21boo169bo3bo4bo4bo4bo6bobbo3bo3bobbo3bobbobobobbo4bobbo4bobbo26b3o
$56bobo265bo$3bobobobbo3bo4bo4bobobobbo3bo191bo3bo4bo4bo4bobobobbo3bo
3bobo3bo3bobbo3bobbo4bo4bobo3bobobo23bo11$305boo$306bo9$55bo16bo237bo$
bbobo5bobo3bo4bobbobo27bo16bo155bobobobbo14bobo3bo6bo3bobo4bobobobbobo
26bo$6bo47b3o14b3o210bo24b3o$bbo6bo3bobbobobbobbo3bo200bo4bo7bo4bo7bo
6bo3bo3bobbo6bo$6bo277bo$bbobo4bo3bobbobbobobbo3bo200bo4bo5bobobobbobb
obobbo6bo3bo3bobbobobobbobo$$bbo6bo3bobbo4bobbo3bo200bo4bo7bo4bo4bobbo
6bo3bo3bobbo6bobbo26b3o$310bo$bbo7bobo3bo4bobbobo46bo155bo4bobobo10bob
o3bobobobbo3bobo4bobobobbo3bo26bo$50boo20boo$51boo19bobo$50bo19$bbobo
5bo7bobo4bo7bobo4bobo3bo3bo$$bbo3bo3bo7bo3bobbo6bo3bobbo3bobbobbo28bo
239bo$77bo239bo$bbobo5bobbobobbobo4bo6bo3bobbo6bobo28b3o237b3o$229bobo
4bobo3bobobo3bobo3bo5bo3bo3bo4bo3bobo$bbo3bo3bo7bo3bobbo6bo3bobbo3bobb
obbo$228bo3bobbo3bo4bo4bo3bobbobobobo3bo3bobobbobbo3bo$bbobo5bo7bobo4b
obobo3bobo4bobo3bo3bo$228bo3bobbo8bo4bo3bobbobbobbo3bo3bobbobobbo3bo$
77b3o$77bo150bo3bobbo3bo4bo4bo3bobbo5bo3bo3bo4bobbo3bo$78bo$229bobo4bo
bo5bo5bobo3bo5bo3bo3bo4bo3bobo26boo$307bobo$309bo7$276boo37boo$277bo
38bo6$112bo13bo$bbo6bobo5bo4bobobo9bobo4bo6bo3bo4bobbo3bobbobobobbobo
32bo13bo$80bo30b3o11b3o$bbo5bo3bo3bobo3bo8bo4bo3bobbo6bo3bobobbobbobbo
3bo6bo$80bo$bbo5bo3bobbo3bobbobobobbobobobbobo4bo6bo3bobbobobbobo4bobo
bobbobo$$bbo5bo3bobbobobobbo8bo4bo3bobbo6bo3bo4bobbobbo3bo6bobbo$$bbob
obobbobo3bo3bobbo13bobo4bobobobbo3bo4bobbo3bobbobobobbo3bo$107boo21boo
195bo$107bobo20bobo193bo$107bo22bo98bobobo9bobo3bo6bo3bobo4bobobobbobo
7bo5bobbobobo3bobo3bobo16b3o$278bo$233bo7bo7bo6bo3bo3bobbo6bo9bobobobo
bbo6bo5bo$278bo$229bobobobbobobbobbobobbo6bo3bo3bobbobobobbobo7bobbobb
obbobobo3bobo3bobo$$229bo11bo4bobbo6bo3bo3bobbo6bobbo6bo5bobbo10bo5bo$
324bo$229bobobo9bobo3bobobobbo3bobo4bobobobbo3bo5bo5bobbobobo3bobo3bob
o13boo$323bobo7$69bo$68bo$46bo21b3o34bo$3bo5bo3bo3bobo4bobo18bo58bo$
45b3o56b3o$3bobobobo3bobbo6bo3bo$$3bobbobbo3bo3bobo3bo$$3bo5bo3bo6bobb
o3bo19b3o$47bo24boo17b3o177boo32boo$3bo5bo3bo3bobo4bobo21bo23bobo18bo
178bo33bo$72bo19bo!

I like the idea, though.

For example, it should be possible to arrange a table for LWSS+LWSS collisions, then make another table for LWSS+MWSS collisions, then make another table for G+HWSS collisions, and so on. If there are still too many collisions for a single table, one could split further by the angle.

(Even if many two-spaceship collisions were seen by people in the 1970s -- see e.g. Lifeline Volume 1#Page_4, Lifeline Volume 6#Page_2, File:Lifeline vol 10 p2.jpg -- were these collision results actually tabulated somewhere by someone for future reference?)

BokaBB · Post by **BokaBB** » February 22nd, 2023, 5:02 pm

Wow, 4 notifications?
Yes, that's how I imagined it.
Which xWSS is considered the most useful? We may prioritize enumerating collisions containing them.

confocaloid · Post by **confocaloid** » February 22nd, 2023, 6:28 pm

BokaBB wrote: February 22nd, 2023, 5:02 pm Which xWSS is considered the most useful? We may prioritize enumerating collisions containing them.

According to User:Goldtiger997/Spaceship Stable Circuitry, currently the MWSS has both the fastest known and the smallest known spaceship-to-glider converters, and there is also a stable Heisenburp that is smaller and faster than the HWSS Heisenburp. So if one has to choose where to start, probably one might start with middleweight spaceships.

BokaBB · Post by **BokaBB** » February 22nd, 2023, 7:05 pm

Oh, well. But which one has the most value for making huge complex patterns like Gemini? I think that is the sort of thing that makes patterns important.
Perhaps I should rename this thread to 'Enumerating inter-spaceship collisions'. If for no other reason than fun's sake we might as well enumerate 2-spaghetti monster collisions one day :DDDDDD !

otismo · Post by **otismo** » February 22nd, 2023, 7:57 pm

@ BokaBB :

Great Idea !

This is the reason I have not responded in regards to your other creative efforts :

I definitely do NOT want to take the risk of impacting your creative/imaginative processes;

I bet not too many in our Community are even aware that you are a Writer, and I feel, quite a good one !

You see, if I say anything at all about the work you have shared with me, it may not have the best result ----> which is,

If you are a Writer, you MUST write Write WRITE !

So please do !

Cheers !

BokaBB · Post by **BokaBB** » February 23rd, 2023, 1:46 am

Huh, seriously, will I ever understand your ways, otismo :DDDDDDD ? No insults but you are kinda weird.

No, writer is not my profession. I don't really feel like revealing what it is. I do it sometimes as a way to relax in spare time. Plus what I did give you has some slightly anti-capitalist reasoning. How come a stock market buyer likes it? Plus I'm way too shy to give it to anybody I don't trust.

And your concept of not disturbing me is the complete opposite of what I seek: I seek tons and tons of feedback. I want to see if they drink water to people. In fact, even negative feedback is as good, if not even better: it points out to me what to change! I bother pretty much everyone I get to be friends with with those stories these days. Which in theory works because what I gave you is a favourite of one friend and considered the worst by another one. A professional literary critic would probably have a similar amount of criticism for them as anyone else may have good feedback.

But, it doesn't end. I'm rather expansive in friendship these days and being friends with me is demanding: I will likely disturb you very often and make quite an amount of drama if you aren't present in just a few days in a row. You may reconsider it because I think losing friends is bad for my mental health. In November I used to be about 5 hours a day with one due to having time due to being sick. Talking to them was what I lived for practically back then However, soon they stopped being there mysteriously, then a few sporadic mysterious messages and then a blackout that lasts to today. It broke me entirely. Thankfully I got new ones and decided to make as many as possible as to not solely rely on anybody.

I haven't yet attached to you too deeply, otismo, so I think it'd be a good idea for you to abandon me for the sake of my mental health. If you are reading, rutabaga, it applies to you too!

To say something productive and feeling at home in this thread, here's a few collisions:

Code: Select all

x = 86, y = 40, rule = B3/S23
5$33bobo$32bo$32bo$32bo2bo$32b3o7$20bo$7bo2bo7bo3bo$11bo5bo$7bo3bo5bo
4bo7b3o$8b4o5b5o7bo2bo$32bo32bo2bo$28bo3bo36bo$28bo3bo32bo3bo5b2o$32bo
33b4o4b2ob4o$29bobo43b6o$76b4o!

:DDDDDD

Code: Select all

x = 199, y = 209, rule = B3/S23
14$20bobo$20b3o$21bo$16bo9bo$14b2ob2o5b2ob2o$14bo3b2o3b2o3bo$11bo2bo4b
o3bo4bo2bo$10b2o2b2obo2bobo2bob2o2b2o$10b2obob2ob3ob3ob2obob2o$12b3o
13b3o$14bo3b2o3b2o3bo$12b2o15b2o$12bobo4b5o4bobo$14b2o11b2o$14b2o11b2o
$13b3o3bo3bo3b3o$14b2o11b2o$20bobo2$15b4o5b4o$15b4o5b4o$18bo5bo$14b3o
9b3o$14b3o9b3o3$17bo7bo$16b2o7b2o$19bobobo$16b2ob5ob2o2$15b2o2b2ob2o2b
2o$14bo4b2ob2o4bo$13bobob2o5b2obobo$13bob2o9b2obo$13b2o2bo7bo2b2o$14b
4o7b4o$15b3o7b3o2$13b2o13b2o$14b2ob2o5b2ob2o$14b2obo7bob2o$16b2o7b2o$
20b3o$19b5o$19bobobo2$19b2ob2o$18b3ob3o$16bo9bo$15bobo7bobo$16b2o7b2o$
17bo7bo$16b2o7b2o$16b2o7b2o$15bo11bo$15b3o7b3o$14b3o9b3o$13bob3obo3bob
3obo$13bo2b2o2bobo2b2o2bo$17bobo3bobo$13bo2bobo5bobo2bo$13bo3b2o5b2o3b
o$14bo4bo3bo4bo$15bo2bo5bo2bo$15b2obo5bob2o$18b2obob2o$17bo3bo3bo$17bo
3bo3bo$20bobo$9bobo6b7o6bobo$9bo2bo2bo3b5o3bo2bo2bo$15b3o3bo3b3o$9bo3b
5o7b5o3bo$9bo10bobo10bo$10b3o7b3o7b3o$10b3o7b3o7b3o$12bo2b3o7b3o2bo$
10b2o3b2o9b2o3b2o$11b2o3bo9bo3b2o$11bo5b2o5b2o5bo$11bo4bo9bo4bo$9b3o3b
2o2bo3bo2b2o3b3o$10b2o3bo11bo3b2o$10b2o3bo2bo5bo2bo3b2o$8bob2o4b3o5b3o
4b2obo$10b2o19b2o$10b2o19b2o$10b2o19b2o$8bo2bo19bo2bo$9bobo19bobo2$9b
2o21b2o$11bobo15bobo$15bo11bo$13bo2bo9bo2bo$11b4obo9bob4o$9bo23bo$7b2o
bobob2o11b2obobob2o$14bo4bo3bo4bo$7bo2b2o6b2o3b2o6b2o2bo$8b4o3bo4bobo
4bo3b4o$15bobob2ob2obobo$17bobo3bobo$17bo7bo$12b3o2bo7bo2b3o$18bo5bo$
12bo4bo7bo4bo$12bo3bo9bo3bo$13bobo11bobo$14b3o9b3o$12bobobobo5bobobobo
$11b2obobo2bo3bo2bobob2o$10bo6b2o5b2o6bo$11bobo15bobo$12b2obo2bo5bo2bo
b2o$13bobo11bobo$15bo11bo$16bo9bo$15b2ob2o3b2ob2o$15bo2b2o3b2o2bo$15bo
2bo5bo2bo$15bo3bo3bo3bo$16bobo5bobo$17bo7bo$16b2o7b2o$14b2obo7bob2o$
13bobo11bobo$14bo2bo7bo2bo$17bo7bo$14b3o4bo4b3o$14b3ob2o3b2ob3o$15bob
2o5b2obo$14b2ob9ob2o$15bo2b2o3b2o2bo$16b3o5b3o$17bo7bo13$80bobo$79bo2b
o8bo3bo$79bo3bo4bobo7bo7b2ob2o$67bo11b2obo5bo3b7o3bob2o66b2o$66bobo10b
2o3bo2bo2b13ob2o4bo61b3o$65bo2b2o2b2obo6bobo16bob3o3bo58b2obo$53bo10b
3o4bo3bo8b2obo19bo10b2ob2o18bo3b3o17bo3bob2o$47bob2obobo13b3o4bo5b2obo
22bo9bo5bo15b3o2b2o2bo8b2o5b5ob2ob4o$46b5o2b2o3b4ob3o4b2o6b2o2bo3bo9b
3o3b2o3b3o5b2o5b4o4bo8b2o2b2ob2obo7b2ob2o2b4o4b2o2bo$45bo3b2o4bobo3b2o
5b3obo11b2o9bo2b2ob3o3b2o6bo3bob4ob2obobo6bo4b2obo2bobobo3b2ob2o10bo4b
o$44b2ob2o2b2ob3o10bo5bob4o16bo4bo2bo3b2o3b2o4bob3obob5o7b3o2b3obo3bob
2o5b2o11bo2bo$45b5o7bob3o3bobobo4bo5bo14b2o3bo9bo3b3ob2o12bo7bo6bo11b
3o8bobo2b2o$46b2obo8bob2o6bo8b2ob2o16bo10b2o3bo2bo2bobo9b2ob2o11b2ob2o
12bo2bobobob2o$47bo30b2o24b3o2b3o9bo10b2o2b2o10b2obo11bo4bo3b2o5b2o$
47bo2bo53b2o2b3ob3o20b3o13b2o15bo9b2o$47bo30b2o24b3o2b3o9bo10b2o2b2o
10b2obo11bo4bo3b2o5b2o$46b2obo8bob2o6bo8b2ob2o16bo10b2o3bo2bo2bobo9b2o
b2o11b2ob2o12bo2bobobob2o$45b5o7bob3o3bobobo4bo5bo14b2o3bo9bo3b3ob2o
12bo7bo6bo11b3o8bobo2b2o$44b2ob2o2b2ob3o10bo5bob4o16bo4bo2bo3b2o3b2o4b
ob3obob5o7b3o2b3obo3bob2o5b2o11bo2bo$45bo3b2o4bobo3b2o5b3obo11b2o9bo2b
2ob3o3b2o6bo3bob4ob2obobo6bo4b2obo2bobobo3b2ob2o10bo4bo$46b5o2b2o3b4ob
3o4b2o6b2o2bo3bo9b3o3b2o3b3o5b2o5b4o4bo8b2o2b2ob2obo7b2ob2o2b4o4b2o2bo
$47bob2obobo13b3o4bo5b2obo22bo9bo5bo15b3o2b2o2bo8b2o5b5ob2ob4o$53bo10b
3o4bo3bo8b2obo19bo10b2ob2o18bo3b3o17bo3bob2o$65bo2b2o2b2obo6bobo16bob
3o3bo58b2obo$66bobo10b2o3bo2bo2b13ob2o4bo61b3o$67bo11b2obo5bo3b7o3bob
2o66b2o$79bo3bo4bobo7bo7b2ob2o$79bo2bo8bo3bo$80bobo!

Even makes a pulsar :DDDDDDDDDDD !

otismo · Post by **otismo** » February 23rd, 2023, 12:42 pm

Code: Select all

x = 308, y = 79, rule = B3/S23
3$4bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobo2$4bo49bo49bo49bo49bo49bo49bo2$4bo49bo49bo49b
o49bo49bo49bo2$4bo49bo49bo49bo49bo49bo26bobo20bo$284bo$4bo49bo49bo49bo
49bo49bo25bo3bo19bo$284bo$4bo49bo49bo22bobo24bo49bo49bo26bo2bo19bo$
130bo151b3o$4bo49bo49bo25bo23bo49bo49bo49bo$127bo2bo$4bo49bo49bo23b3o
23bo49bo49bo49bo2$4bo49bo49bo49bo49bo49bo49bo2$4bo49bo49bo49bo30bobo
16bo49bo49bo$188bo$4bo49bo49bo49bo33bo15bo49bo49bo$185bo2bo$4bo49bo49b
o49bo31b3o15bo49bo49bo2$4bo49bo49bo49bo49bo49bo49bo2$4bo49bo49bo49bo
49bo49bo49bo2$4bo49bo49bo49bo49bo49bo49bo$227bobo47bobo$4bo22bobo24bo
22bobo4bobo17bo22bobo18bo5bo22bobo24bo25bo23bo25bo23bo$30bo49bo3b2o44b
o15b2o32bo45bo3bo45bo3bo$4bo25bo23bo25bo4bo18bo25bo16b2o5bo25bo23bo25b
o23bo25bo23bo$27bo2bo46bo2bo46bo2bo46bo2bo46bo2bo46bo2bo$4bo23b3o4bo
18bo23b3o23bo23b3o23bo23b3o23bo23b3o23bo23b3o23bo$34bo$4bo29b3o17bo49b
o49bo49bo49bo49bo2$4bo49bo49bo49bo23b3o23bo23b3o23bo16b5o28bo$177bo2bo
46bo2bo39bo4bo$4bo49bo49bo33bo15bo25bo23bo25bo23bo20bo28bo$136b2o42bo
45bo3bo39bo3bo$4bo49bo49bo32b2o15bo22bobo24bo25bo23bo17bo31bo$227bobo$
4bo49bo49bo49bo49bo49bo49bo2$4bo49bo49bo31bo17bo49bo49bo49bo$135bobo$
4bo49bo49bo30bobo16bo49bo49bo49bo$136bo$4bo49bo49bo49bo49bo49bo49bo2$
4bo49bo49bo49bo49bo49bo49bo2$4bo49bo49bo49bo49bo49bo49bo2$4bo49bo49bo
49bo49bo49bo49bo2$4bo49bo49bo49bo49bo49bo49bo2$4bo49bo49bo49bo49bo49bo
49bo2$4bo49bo49bo49bo49bo49bo49bo2$4bobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobo!

Adios Amigo !

squareroot12621 · February 26th, 2023, 11:34 am

BokaBB wrote: February 21st, 2023, 6:59 am Hey ya. I felt this topic was too complex to add to an existing thread. You can relocate it if you wish.

Do we have anything resembling a table of all 2 xWSS or xWSS-G collisions? These would be of great use I think. Perhaps also other things like 2-spaghetti monster collisions, if for no other reason than fun !

This idea seems to be much older than I thought:

Alegend wrote: October 7th, 2009, 8:39 pm I need the answer to these questions, please:

1. How many ways are there for 2 LWSS' to collide?
…

BokaBB · Post by **BokaBB** » February 26th, 2023, 11:53 am

squareroot12621 wrote: February 26th, 2023, 11:34 am
BokaBB wrote: February 21st, 2023, 6:59 am Hey ya. I felt this topic was too complex to add to an existing thread. You can relocate it if you wish.

Do we have anything resembling a table of all 2 xWSS or xWSS-G collisions? These would be of great use I think. Perhaps also other things like 2-spaghetti monster collisions, if for no other reason than fun !
This idea seems to be much older than I thought:
Alegend wrote: October 7th, 2009, 8:39 pm I need the answer to these questions, please:

1. How many ways are there for 2 LWSS' to collide?
…

But this is more broad, more recent and more active, so worth keeping if you ask me.

toroidalet · Post by **toroidalet** » February 26th, 2023, 10:04 pm

It's easy to enumerate XWSS collisions with a script, but it's a simple enough task that you don't need one (I know you have had difficulties with using scripts). It took me about 15-20 minutes to find all 146 LWSS-LWSS collisions (unsorted):

Code: Select all

x = 2537, y = 411, rule = B3/S23
2389bo2bo$1896bo2bo385bo2bo104bo121bo2bo$31bobo1866bo388bo99bo3bo125bo
$30bo39b2o37bobo1784bo3bo281bo2bo99bo3bo100b4o121bo3bo$30bo38b3o40bo
38b2o38bobo1703b4o285bo99b4o226b4o$30bo2bo35b2obo39bo38b3o36bo39b2o37b
obo1910bo3bo$30b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo1558bo2bo
112bo2bo151b4o$71bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo
1479bo120bo372b4o123b4o$151bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b
2o38bobo1397bo3bo112bo3bo269b2o101bo3bo122bo3bo$231bo38b3o37b3o37bo2bo
35b2obo39bo38b3o36bo39b2o37bobo1319b4o114b4o268b2ob2o99bo126bo$311bo
38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo1524b2o102b4o100bo2bo
123bo2bo$391bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo1293bo2b
o148b2ob2o101b2o$471bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo
1210bo153b4o$551bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo
1132bo3bo150b2o$631bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo
1050b4o$711bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo$791bo38b
3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo$871bo38b3o37b3o37bo2bo
35b2obo39bo38b3o36bo39b2o37bobo$951bo38b3o37b3o36bo2bo37bob2o36bo38b3o
40bo38b2o38bobo$1031bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo
$1111bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo915bo2bo$1191bo
38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo344bo2bo385bo2bo104bo
121bo2bo$1271bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo266bo
388bo99bo3bo125bo$1351bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo265bo3bo
281bo2bo99bo3bo100b4o121bo3bo$1431bo38b3o37b3o36bo2bo37bob2o36bo266b4o
285bo99b4o226b4o$1511bo38b3o37b3o37bo2bo278bo2bo266bo3bo$1591bo38b3o
278bo116bo2bo151b4o218b4o123b4o$1911bo3bo116bo269b2o101bo3bo122bo3bo$
1911b4o113bo3bo268b2ob2o99bo126bo$2029b4o165b2o102b4o100bo2bo123bo2bo$
2045bo2bo148b2ob2o101b2o$2044bo153b4o$2044bo3bo150b2o$2044b4o7$bo2bo
36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo
36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo
36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo
36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo
784bo2bo$5bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo39bo39bo39bo290bo2bo385bo2bo104bo121bo2bo$bo3b
o35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3b
o35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3b
o35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3b
o35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3b
o294bo388bo99bo3bo125bo$2b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o
36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o
36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o
36b4o36b4o36b4o36b4o290bo3bo281bo2bo99bo3bo100b4o121bo3bo$1897b4o11bo
2bo270bo99b4o226b4o$1911bo270bo3bo218b4o123b4o$1911bo3bo112bo2bo151b4o
115b2o101bo3bo122bo3bo$1911b4o117bo268b2ob2o99bo126bo$2028bo3bo165b2o
102b4o100bo2bo123bo2bo$2029b4o12bo2bo148b2ob2o101b2o$2044bo153b4o$
2044bo3bo150b2o$2044b4o8$2389bo2bo$1896bo2bo385bo2bo104bo121bo2bo$
1900bo388bo99bo3bo125bo$1896bo3bo11bo2bo266bo2bo99bo3bo100b4o121bo3bo$
1897b4o10bo274bo99b4o115b4o107b4o12b4o$1911bo3bo266bo3bo115b2o101bo3bo
122bo3bo$1911b4o113bo2bo151b4o114b2ob2o99bo126bo$2032bo165b2o102b4o
100bo2bo123bo2bo$2028bo3bo12bo2bo148b2ob2o101b2o$2029b4o11bo153b4o$
2044bo3bo150b2o$2044b4o9$2389bo2bo$1896bo2bo385bo2bo104bo121bo2bo$
1900bo11bo2bo373bo99bo3bo125bo$1896bo3bo10bo270bo2bo99bo3bo100b4o11b4o
106bo3bo12b4o$1897b4o10bo3bo270bo99b4o12b2o101bo3bo106b4o12bo3bo$1911b
4o267bo3bo114b2ob2o99bo126bo$2028bo2bo151b4o11b2o102b4o100bo2bo123bo2b
o$2032bo12bo2bo148b2ob2o101b2o$2028bo3bo11bo153b4o$2029b4o11bo3bo150b
2o$2044b4o10$2389bo2bo$1896bo2bo12bo2bo369bo2bo104bo121bo2bo$1900bo10b
o377bo99bo3bo11b4o110bo12b4o$1896bo3bo10bo3bo266bo2bo99bo3bo12b2o86b4o
11bo3bo105bo3bo12bo3bo$1897b4o10b4o271bo99b4o11b2ob2o99bo110b4o12bo$
2182bo3bo11b2o102b4o100bo2bo123bo2bo$2028bo2bo13bo2bo134b4o10b2ob2o
101b2o$2032bo11bo153b4o$2028bo3bo11bo3bo150b2o$2029b4o11b4o11$2389bo2b
o$2285bo2bo104bo11b4o106bo2bo13b4o$2289bo12b2o85bo3bo11bo3bo109bo12bo
3bo$2182bo2bo99bo3bo11b2ob2o84b4o11bo109bo3bo12bo$2186bo11b2o86b4o12b
4o100bo2bo106b4o13bo2bo$2182bo3bo10b2ob2o101b2o$2183b4o11b4o$2199b2o
13$2389bo2bo12b4o123b4o$2285bo2bo13b2o89bo11bo3bo105bo2bo13bo3bo$2289b
o11b2ob2o83bo3bo11bo113bo12bo$2182bo2bo12b2o85bo3bo12b4o84b4o12bo2bo
105bo3bo13bo2bo$2186bo10b2ob2o84b4o13b2o211b4o$2182bo3bo11b4o$2183b4o
12b2o13$2405b4o123b4o$2302b2o85bo2bo12bo3bo122bo3bo$2285bo2bo12b2ob2o
87bo11bo109bo2bo13bo$2198b2o89bo12b4o83bo3bo12bo2bo109bo13bo2bo$2182bo
2bo11b2ob2o83bo3bo13b2o85b4o121bo3bo$2186bo11b4o84b4o226b4o$2182bo3bo
12b2o$2183b4o12$2405b4o123b4o$2302b2o101bo3bo122bo3bo$2301b2ob2o83bo2b
o12bo126bo$2198b2o85bo2bo13b4o87bo12bo2bo105bo2bo14bo2bo$2197b2ob2o87b
o13b2o84bo3bo125bo$2182bo2bo12b4o83bo3bo100b4o121bo3bo$2186bo12b2o85b
4o226b4o$2182bo3bo$2183b4o11$2405b4o123b4o$2302b2o101bo3bo122bo3bo$
2301b2ob2o99bo126bo$2198b2o102b4o83bo2bo13bo2bo123bo2bo$2197b2ob2o83bo
2bo14b2o88bo121bo2bo$2198b4o87bo99bo3bo125bo$2182bo2bo13b2o84bo3bo100b
4o121bo3bo$2186bo99b4o226b4o$2182bo3bo$2183b4o3$36bobo$39bo38b2o38bobo
$39bo38b3o36bo39b2o37bobo$36bo2bo37bob2o36bo38b3o40bo38b2o38bobo$37b3o
37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo$78bo38b3o37b3o36bo2bo37bob
2o36bo38b3o40bo38b2o38bobo$158bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo
39b2o37bobo$238bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo1804b
4o123b4o$318bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo1623b2o
101bo3bo122bo3bo$398bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo
1540b2ob2o99bo126bo$478bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37b
obo1359b2o102b4o100bo2bo123bo2bo$558bo38b3o37b3o36bo2bo37bob2o36bo38b
3o40bo1357b2ob2o101b2o84bo2bo$638bo38b3o37b3o37bo2bo35b2obo39bo1358b4o
83bo2bo104bo121bo2bo$718bo38b3o37b3o36bo2bo1359b2o88bo99bo3bo125bo$
798bo38b3o1342bo2bo99bo3bo100b4o121bo3bo$2186bo99b4o226b4o$2182bo3bo$
2183b4o9$2405b4o$2302b2o101bo3bo$2301b2ob2o99bo$2198b2o102b4o100bo2bo$
2197b2ob2o101b2o$2198b4o187bo2bo$2199b2o84bo2bo104bo$2289bo99bo3bo$
2182bo2bo99bo3bo100b4o$2186bo99b4o$2182bo3bo$2183b4o3$6bo2bo36bo2bo36b
o2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36b
o2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo$10bo39bo
39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo$6bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3b
o35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3b
o35bo3bo35bo3bo$7b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o
36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o116$29bobo$32bo38b2o
38bobo$32bo38b3o36bo39b2o37bobo$29bo2bo37bob2o36bo38b3o40bo38b2o38bobo
$30b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo$71bo38b3o37b3o36bo2b
o37bob2o36bo38b3o40bo38b2o38bobo$151bo38b3o37b3o37bo2bo35b2obo39bo38b
3o36bo39b2o37bobo$231bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo38b2o38bob
o$311bo38b3o37b3o37bo2bo35b2obo39bo38b3o36bo39b2o37bobo$391bo38b3o37b
3o36bo2bo37bob2o36bo38b3o40bo38b2o38bobo$471bo38b3o37b3o37bo2bo35b2obo
39bo38b3o36bo39b2o37bobo$551bo38b3o37b3o36bo2bo37bob2o36bo38b3o40bo$
631bo38b3o37b3o37bo2bo35b2obo39bo$711bo38b3o37b3o36bo2bo$791bo38b3o25$
o2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36b
o2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36b
o2bo$4bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo$o3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35b
o3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35b
o3bo35bo3bo35bo3bo35bo3bo$b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o
36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o36b4o!

We will go through finding antiparallel LWSS collisions, but this applies equally well for perpendicular collisions and G-LWSS (or any WSS) collisions. Consider the following pattern:

Code: Select all

x = 25, y = 24, rule = B3/S23
o2bo17bo2bo$4bo15bo$o3bo15bo3bo$b4o15b4o16$21bo2bo$o2bo16bo$4bo15bo3bo
$o3bo15b4o$b4o!

The pair of LWSSes on the left is separated by 20 cells, and the pair on the right is separated by 19 cells, so the right LWSS in the bottom collision is 20-19 = 1 cell higher. Copy the pair on the left and paste it so the top LWSS lines up with the bottom one, and repeat this for the right side:

Code: Select all

x = 25, y = 44, rule = B3/S23
o2bo17bo2bo$4bo15bo$o3bo15bo3bo$b4o15b4o16$21bo2bo$o2bo16bo$4bo15bo3bo
$o3bo15b4o$b4o15$21bo2bo$20bo$o2bo16bo3bo$4bo15b4o$o3bo$b4o!

Repeat this until the LWSSes no longer interact, and do the same upwards:

Code: Select all

x = 25, y = 244, rule = B3/S23
o2bo$4bo$o3bo$b4o3$21bo2bo$20bo$20bo3bo$20b4o11$o2bo$4bo$o3bo$b4o2$21b
o2bo$20bo$20bo3bo$20b4o12$o2bo$4bo$o3bo$b4o$21bo2bo$20bo$20bo3bo$20b4o
13$o2bo$4bo$o3bo$b4o16bo2bo$20bo$20bo3bo$20b4o14$o2bo$4bo$o3bo16bo2bo$
b4o15bo$20bo3bo$20b4o15$o2bo$4bo16bo2bo$o3bo15bo$b4o15bo3bo$20b4o16$o
2bo17bo2bo$4bo15bo$o3bo15bo3bo$b4o15b4o16$21bo2bo$o2bo16bo$4bo15bo3bo$
o3bo15b4o$b4o15$21bo2bo$20bo$o2bo16bo3bo$4bo15b4o$o3bo$b4o14$21bo2bo$
20bo$20bo3bo$o2bo16b4o$4bo$o3bo$b4o13$21bo2bo$20bo$20bo3bo$20b4o$o2bo$
4bo$o3bo$b4o12$21bo2bo$20bo$20bo3bo$20b4o2$o2bo$4bo$o3bo$b4o11$21bo2bo
$20bo$20bo3bo$20b4o3$o2bo$4bo$o3bo$b4o!

In this example, the top half of collisions is the same as the bottom half. This does not always happen.

Copy the pattern and paste it in another layer. Now, select the line of spaceships on the right and advance it one generation (control-space). The top and bottom pairs now collide rather than passing each other by, so it would be a good idea to add another row of spaceships to confirm there aren't more collisions.
If you do this a second time, it gives new collisions, a third time gives the same asymmetric collisions but in reverse, and a fourth time gives the same collisions we started with in the same order (this is because the LWSS is glide-symmetric; otherwise you would need to do this (2*period) times).
In addition to adjusting the time difference, we can also adjust the spacing between the LWSSes. Moving them vertically does nothing, but moving them horizontally might give us some more collisions. Move the column on the right 1 cell to the left, and see if it gives you new collisions. If it does, check all four phases and move it over again.

This is a very simple and straightforward way to enumerate all collisions between two spaceships, and it can easily be done with the repeat script. Of course, it doesn't sort the collisions by outcome, but unless you want to do that manually, a script is probably the best option. It would be fairly easy to make a script that copies the collisions one at a time, classifies the output and puts them in a table.

Here's another example, this time with G-LWSS collisions:

Code: Select all

x = 1445, y = 15, rule = B3/S23
3bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39b
o39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo$4bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo$2b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o
37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o
37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o8$o2b
o37b2o115bo2bo37b2o115bo2bo37b2o115bo2bo37b2o115bo2bo37b2o115bo2bo37b
2o115bo2bo37b2o115bo2bo37b2o115bo2bo37b2o115bo2bo$4bo35b4o36b4o37b2o
39bo35b4o36b4o37b2o39bo35b4o36b4o37b2o39bo35b4o36b4o37b2o39bo35b4o36b
4o37b2o39bo35b4o36b4o37b2o39bo35b4o36b4o37b2o39bo35b4o36b4o37b2o39bo
35b4o36b4o37b2o39bo$o3bo35b2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o34bo3bo
35b2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o
34bo3bo35b2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o34bo3bo35b
2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o34bo3bo35b2ob2o34bo
3bo35b2ob2o34bo3bo$b4o37b2o39bo35b4o36b4o37b2o39bo35b4o36b4o37b2o39bo
35b4o36b4o37b2o39bo35b4o36b4o37b2o39bo35b4o36b4o37b2o39bo35b4o36b4o37b
2o39bo35b4o36b4o37b2o39bo35b4o36b4o37b2o39bo35b4o36b4o$79bo2bo37b2o
115bo2bo37b2o115bo2bo37b2o115bo2bo37b2o115bo2bo37b2o115bo2bo37b2o115bo
2bo37b2o115bo2bo37b2o115bo2bo37b2o!

Happy enumerating!

confocaloid · Post by **confocaloid** » February 26th, 2023, 10:34 pm

BokaBB wrote: February 22nd, 2023, 5:02 pm Which xWSS is considered the most useful? We may prioritize enumerating collisions containing them.

BokaBB wrote: February 22nd, 2023, 7:05 pm Oh, well. But which one has the most value for making huge complex patterns like Gemini? I think that is the sort of thing that makes patterns important.

I'm not sure which of the xWSSes has the most value for engineering, but for example Orthogonoid contains a long stream of middleweight spaceships, again confirming my theory that MWSSes are useful.

By the way, just as an attempt to reduce possible unnecessary duplication of effort, would it be safe to assume that you would be willing to take on the task of tabulating collisions involving MWSSes?

BokaBB · Post by **BokaBB** » February 27th, 2023, 1:39 am

Definitely not one of these days, got badly sick and will be available minimally,if at all.

Post by **dvgrn** » February 27th, 2023, 9:37 am

confocaloid wrote: February 26th, 2023, 10:34 pm
BokaBB wrote: February 22nd, 2023, 7:05 pm Oh, well. But which one has the most value for making huge complex patterns like Gemini? I think that is the sort of thing that makes patterns important.
I'm not sure which of the xWSSes has the most value for engineering, but for example Orthogonoid contains a long stream of middleweight spaceships, again confirming my theory that MWSSes are useful.

Oddly enough, the presence of MWSSes in the Orthogonoid doesn't really say anything about relative usefulness compared to LWSSes or HWSSes. In stable signal circuitry, Herschel-to-MWSS is much cheaper and has a faster repeat time than Herschel-to-LWSS or Herschel-to-HWSS. But it's only very seldom that the output of an H-to-MWSS conduit flies off and collides with something else as part of a construction recipe. Signals from an H-to-MWSS generally get converted right back to gliders via an MWSS-to-G, as in the Orthogonoid.

Now, there are possible Omniship designs where it would be very helpful to convert a single-channel recipe directly into a stream of *WSSes, which then collides directly with a target to do slow *WSS construction (reaching out some distance orthogonally instead of diagonally). We have the single-channel recipes that produce a full set of LWSSes, MWSSes, and HWSSes, though HWSSes are considerably more expensive than the other two.

However, nobody has built a multi-gigabyte library for slow-salvo *WSS constructions, equivalent to what HoneySearch did to enable slmake's abilities with slow gliders. That would be a whole new project -- one that has kind of been on the backlog for many years now. Nobody has gotten around to it because it's a big job, and when it's done we'll mostly just have the same functionality that we have already with slmake, but probably somewhat less efficient. There are just a few occasional use cases where orthogonal slow salvos would come in really handy.

Post by **dvgrn** » February 27th, 2023, 10:54 am

toroidalet wrote: February 26th, 2023, 10:04 pm It's easy to enumerate XWSS collisions with a script, but it's a simple enough task that you don't need one (I know you have had difficulties with using scripts). It took me about 15-20 minutes to find all 146 LWSS-LWSS collisions (unsorted)...Happy enumerating!

Thanks for writing this up!

I've always gotten stopped from building stamp collections of *WSS-*WSS collisions, just because they're so much messier on average than glider collisions. If you want to see what you actually get in terms of final ash in all cases, you need a lot of space.

Not coincidentally, I had been working through the exact process outlined above for 90-degree LWSS-LWSS collisions, and I came up with the following:

Code: Select all

x = 4301, y = 531, rule = LifeSuper
301F199.101F179.321F2289.111F189.111F199.301F$F99.F99.F99.F199.F99.F
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1100.F99.F$1100.F99.F$1100.101F!

The yellow LWSS pairs at the ends are the ones that have advanced so far that they pass each other instead of colliding. They're left in the stamp collection just as a way of showing that the full range of 90-degree collision options has been explored.

(Or did I miss some? A cross-check with the other enumeration is definitely a good idea.)

There's a lot left to do -- LWSS+MWSS, MWSS+MWSS, MWSS+HWSS, HWSS+HWSS, and LWSS+HWSS, with 90- and 180-degree collisions for each, along with MWSS+G and HWSS+G.

It's not entirely a good idea to do all this manually instead of writing a script. But then again, it's fairly tricky to write a script that builds a reasonable-size stamp collection showing the final ash size of all collisions, while catching output gliders and spaceships. It's almost easier to just do it by hand... maybe each sub-collection twice by two people independently, just to catch any errors.

Post by **dvgrn** » July 11th, 2023, 6:21 am

dvgrn wrote: February 27th, 2023, 10:54 amThere's a lot left to do -- LWSS+MWSS, MWSS+MWSS, MWSS+HWSS, HWSS+HWSS, and LWSS+HWSS, with 90- and 180-degree collisions for each, along with MWSS+G and HWSS+G.

It's not entirely a good idea to do all this manually instead of writing a script. But then again, it's fairly tricky to write a script that builds a reasonable-size stamp collection showing the final ash size of all collisions, while catching output gliders and spaceships. It's almost easier to just do it by hand... maybe each sub-collection twice by two people independently, just to catch any errors.

Well, that hasn't happened... oh, well.

Here's a good substitute until someone makes a set of nice easy-to-read LifeHistory stamp collection: I've just noticed that 27818281828 posted a purportedly complete collection of these collisions half a decade ago.

ConwayLife.com

Enumerating inter-spaceship collisions

Enumerating inter-spaceship collisions

Re: Enumerating all xWSS collisions

Re: Enumerating all xWSS collisions

Re: Enumerating all xWSS collisions

Re: Enumerating all xWSS collisions

Re: Enumerating inter-spaceship collisions

Re: Enumerating inter-spaceship collisions

Re: Enumerating inter-spaceship collisions

Re: Enumerating inter-spaceship collisions

Re: Enumerating inter-spaceship collisions

Re: Enumerating inter-spaceship collisions

Re: Enumerating all xWSS collisions

Re: Enumerating inter-spaceship collisions

Re: Enumerating all xWSS collisions

Re: Enumerating inter-spaceship collisions

Re: Enumerating inter-spaceship collisions