MWSS synthesis from 2 gliders

[knightlife]

The trick is you have to make 4 at a time!

4 MWSS's from 8 gliders:

Code: Select all

x = 20, y = 20, rule = B3/S23
3bo$bobo14bo$2b2o13bo$17b3o2$10bo$11bo$9b3o$6b2o$5bobo4bo$7bo4bobo$12b
2o$8b3o$8bo$9bo2$3o$2bo13b2o$bo14bobo$16bo!

[calcyman]

That's very elegant. How did you find it?


It is compatible with the standard boojum transmitter, yielding a 4 Herschel -> 4 MWSS converter:

Code: Select all

x = 194, y = 194, rule = B3/S23
25bo6boo$25b3o4bobbobo$28bo5boob3o$27boo11bo$34boob3o$34boobo3$23boo3b
oo$23boo3boo4$19bo$18bobo$19bo$76boo$76bo$74bobo102bo$74boo102bobo$
179bo$$36boo$36boo18bo127boo$56b3o100boo23boo$59bo6b3o91bo31boo$58boo
8bo91bobo29bo$67b3o91boo27bobo$184boo4boo$48boo3boo129boo$48boo3boo$
26boo122boo$27bo123bo40boo$24b3o124bobo39bo$24bo127boo34boobo$188boob
oo$170boo$82boo86boo16booboo$82bobo104bobo$84bo104bobo$33boo49boo104bo
$34bo$31b3o38boo$31bo40boo5$163boo$163boo$67boo$67bobo$69bo$69boo92boo
$163boo$$169boo$169bo$167bobo$167boo7$168bo$142boo22bobo$143bo22b3o$
140b3o23bo$140bo$$150boo$150boo$174boo$174bo$175b3o$177bo5$155boo$156b
o$153b3o$153bo23$40bo$38b3o$37bo$37boo5$16bo$16b3o$19bo$18boo$42boo$
42boo$$53bo$27bo23b3o$25b3o22bo$25bobo22boo$25bo7$25boo$24bobo$24bo$
23boo$$29boo$29boo92boo$124bo$124bobo$125boo$29boo$29boo5$120boo40bo$
120boo38b3o$159bo$3bo104boo49boo$bbobo104bo$bbobo104bobo$booboo16boo
86boo$22boo$booboo$bboboo34boo127bo$o39bobo124b3o$oo40bo123bo$42boo
122boo$139boo3boo$8boo129boo3boo$bboo4boo$bobo27boo91b3o$bo29bobo91bo
8boo$oo31bo91b3o6bo$8boo23boo100b3o$8boo127bo18boo$156boo$$14bo$13bobo
102boo$14bo102bobo$117bo$116boo$174bo$173bobo$174bo4$164boo3boo$164boo
3boo3$156boboo$154b3oboo$153bo11boo$154b3oboo5bo$156bobobbo4b3o$160boo
6bo!

Some other multi-*WSS generators are:

Code: Select all

x = 53, y = 21, rule = S23/B3
o28bo11bo$boo10boo12bobo12bo$oo10boo14boo10b3o$5bo8bo$6bo$4b3obboo$8bo
bo20bo$10bo10bo10bo$22bo7b3o18bo$20b3o27bo$29bo20b3o$29boo15b3o$28bobo
15bo$47bo5$40b3o$42bo$41bo!

[knightlife]

How did you find it?

I was experimenting with what I call "quad synthesis" by defining a set of gliders in one quadrant of the life universe and then rotating the set to create the other three (as opposed to using mirror images). All gliders are aimed to the center to produce collisions. For this one I used a synthesis for a p6 oscillator that I posted earlier in another topic in this forum (random soup). On my very first try, I simply deleted all but two gliders in each quadrant to try fewer gliders instead of more and I got 4 MWSSs to my surprise. There might be more surprises with quad rotational symmetry if I can get a p6 oscillator and quad MWSSs from the same set of gliders and only manual tinkering. dvgrn suggested I was just lucky with the p6 oscillator, but I'm not so sure now that I got lucky again with just one more try! Maybe it is extreme luck now, or is it that "quad synthesis" just has not been investigated much and there are many more surprises.

[calcyman]

The quad-MWSS synthesis is of special interest because it is a slow-quad synthesis. Quadruples of gliders only arrive after the previous quadruple has settled down.

dvgrn suggested I was just lucky with the p6 oscillator, but I'm not so sure now that I got lucky again with just one more try! Maybe it is extreme luck now, or is it that "quad synthesis" just has not been investigated much and there are many more surprises.

Speaking of serendipity, it is highly probable that symmetrical soups yield interesting objects of the same symmetry. Considering the simplicity of one quarter of the p6 oscillator, which is all that needs to be considered, it is hardly surprising that a random synthesis happens to create it.

On the other hand, I tried a few manual quad syntheses, and none of them created anything interesting. Murphy's Law strikes back!



Have you created a Golly script to automate this? Perhaps you could try bilateral symmetry as well.


It's amazing that this simple seed generates a very complex oscillator, one that has not been observed in nature. I am adamant that a quad-symmetrical soup search would produce the oscillator, either a glider-collision search or a conventional search.

Code: Select all

......**.
**.....*.
*.*...*..
...*.*...
....*....
...*.*...
..*...*.*
.*.....**
.**......

[knightlife]

Have you created a Golly script to automate this? Perhaps you could try bilateral symmetry as well.

Thought about it, but have not decided how it should work. Probably the first version will be very basic since I am not a progammer (at least not Python, anyway). I will post it if it turns out to be useful. Also I notice the are two types of quad rotational symmetry, odd and even, similar to bilateral symmetry: The center can be a single cell or there can be a group of 4 cells forming the shape of a block at the center.

I did try bilateral symmetry and did actually see weekender style movement in a lot of the patterns (!) but not at the same spacing (distance between "claws").

[knightlife]

I am posting a script called Quadsymm that creates quad symmetry from any selection rectangle. See scripts forum.

[knightlife]

Possible LWSS rake candidate uses only 2 gliders per LWSS:

Code: Select all

x = 72, y = 84, rule = B3/S23
obo$b2o$bo8$68bo$68bobo$68b2o5$71bo$69b2o$70b2o2$10bo$11b2o$10b2o5$9bo
$10bo$8b3o2$58bo$57bo$57b3o6$59bobo$59b2o$60bo2$20bobo$21b2o$21bo5$20b
o$18bobo$19b2o2$47bo$47bobo$47b2o5$50bo$48b2o$49b2o2$31bo$32b2o$31b2o
5$30bo$31bo$29b3o2$37bo$38bo$36b3o3$37b2o$37b2o!