Cataloguing 3G collisions

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Tropylium
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Cataloguing 3G collisions

Post by Tropylium » September 27th, 2014, 4:51 pm

I'm splitting this from the 4 glider syntheses thread since it's really only tangentially related.

---

Here's a survey of what I think should be all 180° 3G collisions with no timing difference and where the lone glider collides in a Z phase. 81 altogether:

Code: Select all

x = 761, y = 428, rule = B3/S23
618b2o$619b2o$602b2o14bo3bobo15b2o$602bo19b2o17bo$623bo2$624b3o$626bo$
625bo3$622bo$620bo3bo$618bo7bo$622bo2$600b2o$600bo21bo3$622bo3$622bo3$
622bo3$622bo3$458b2o2bobo157bo$459b2ob2o$458bo4bo$464bo157bo$464b2o$
463bobo$622bo2$467bobobo19bo$490b2o130bo$467bobo2$467bo3bo150bo2$472bo
$622bo$473bo2$622bo$473bo2$622bo$473bo2$622bo$473bo2$622bo$473bo2$622b
o$473bo2$622bo$473bo2$622bo$473bo2$622bo$473bo2$622bo$473bo2$622bo$
473bo2$8b2o38b2o18b2o18b2o28b2o28b2o58b2o38b2o38b2o38b2o28b2o38b2o28b
2o28b2o48b2o68b2o42bo35b2o$9b2o38b2o18b2o18b2o28b2o28b2o58b2o38b2o38b
2o38b2o28b2o38b2o28b2o28b2o12bo35b2o68b2o78b2o$8bo3bobo7b2o8b2o14bo3bo
bo13bo3bobo13bo3bobo23bo3bobo23bo3bobo53bo3bobo33bo3bobo33bo3bobo33bo
3bobo23bo3bobo33bo3bobo23bo3bobo23bo3bobo43bo3bobo63bo3bobo73bo3bobo$
12b2o38b2o18b2o18b2o28b2o28b2o58b2o38b2o38b2o38b2o28b2o38b2o28b2o28b2o
48b2o68b2o38bo39b2o$13bo39bo19bo19bo29bo29bo59bo39bo39bo39bo29bo39bo
29bo29bo9bo39bo69bo79bo$51bo100bo180bo130bo200bo$51b2o18b2o18b2o28b3o
28b2o58b2o38b2o38b3o38b2o28b2o38b2o28b3o28b2o48b2o68b2o79b2o$50bobo17b
obo19b2o29bo27bobo57bobo39b2o39bo37bobo27bobo39b2o29bo27bobo7bo39bobo
69b2o77bobo$72bo18bo30bo90bo38bo40bo48b2o20bo17b2o19bo30bo80bo68bo$
342bo39bo$473bo2$643bo$473bo168b2o3$473bo3$10bo462bo$10b2o2$473bo136b
2o$610bo2$473bo3$473bo3$473bo3$473bo3$473bo$610b2o$610bo$473bo$8b2o38b
2o18b2o18b2o28b2o28b2o58b2o38b2o38b2o38b2o28b2o38b2o28b2o28b2o48b2o68b
2o38b2o38b2o$9b2obobo7b2o8b2o15b2obobo14b2obobo14b2obobo24b2obobo24b2o
bobo54b2obobo34b2obobo34b2obobo34b2obobo24b2obobo34b2obobo24b2obobo24b
2obobo44b2obobo64b2obobo34b2obobo34b2obobo$8bo3b2o34bo3b2o14bo3b2o14bo
3b2o24bo3b2o24bo3b2o54bo3b2o34bo3b2o34bo3b2o34bo3b2o24bo3b2o34bo3b2o
24bo3b2o24bo3b2o9bo34bo3b2o64bo3b2o34bo3b2o34bo3b2o$13bo39bo19bo19bo
29bo29bo59bo39bo39bo39bo29bo39bo29bo29bo49bo69bo39bo39bo$51bo100bo180b
o130bo38bo69bo39bo39bo11bo$4bo46b2o18b2o18b2o28b3o28b2o58b2o38b2o38b3o
38b2o28b2o38b2o28b3o28b2o7bo29b2o9b2o57b2o9b2o27b2o9b3o26b2o10b2o$4b2o
44bobo17bobo19b2o29bo27bobo57bobo39b2o39bo37bobo27bobo39b2o29bo27bobo
47bobo69b2o39bo37bobo$72bo18bo30bo90bo38bo40bo70bo38bo30bo80bo68bo40bo
$473bo$449bo$448b2o$473bo3$158b2o313bo$159bo2$473bo3$473bo2$719b2o$
473bo245bo3$473bo$244b2o$244bo381bo11bo$473bo151b2o10b2o2$57b2o18b2o$
57bo19bo395bo$590bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo$349b2o38b2o81bo115bo135bo3bo$349bo39bo$471bo114bo139bobo
2$469bo114bo139bobobo2$274bo49b2o141bo115bo$8b2o2bobo7b2o8b2o18b2o14b
2o2bobo13b2o2bobo23b2o2bobo23b2o2bobo53b2o2bobo33b2o2bobo19b2o12b2o2bo
bo29bo3b2o2bobo23b2o2bobo33b2o2bobo23b2o2bobo30bo42b2o2bobo103b2o2bobo
33b2o2bobo63b2o2bobo$9b2ob2o55b2ob2o15b2ob2o25b2ob2o25b2ob2o55b2ob2o
35b2ob2o35b2ob2o35b2ob2o25b2ob2o35b2ob2o25b2ob2o29bo45b2ob2o68bo36b2ob
2o35b2ob2o65b2ob2o$3bo4bo4bo54bo4bo14bo4bo24bo4bo24bo4bo54bo4bo34bo4bo
34bo4bo34bo4bo24bo4bo34bo4bo24bo4bo74bo4bo104bo4bo34bo4bo64bo4bo$3b2o
147bo180bo331bo$71b2o18b2o28b3o28b2o58b2o38b2o38b3o38b2o28b2o38b2o28b
3o78b2o108b3o38b2o67b2o$70bobo19b2o29bo27bobo57bobo39b2o39bo37bobo27bo
bo39b2o29bo77bobo110bo37bobo68b2o$72bo18bo30bo90bo38bo40bo70bo38bo30bo
80bo109bo108bo6$487bo$487b2o4$750bo$749b2o4$487b2o19b2o$487bo20bo$652b
o$652b2o2$752bo6bo$752b2o5b2o2$12bobo7b2o8b2o18b2o18b2o18b2o28b2o28b2o
98bobo37bobo37bobo27bobo37bobo27bobo27bobo47bobo67bobo37bobo37bobo$8b
2o2b2o234b2o2b2o34b2o2b2o34b2o2b2o24b2o2b2o34b2o2b2o24b2o2b2o24b2o2b2o
44b2o2b2o64b2o2b2o34b2o2b2o34b2o2b2o$9b2o2bo198bo36b2o2bo35b2o2bo35b2o
2bo25b2o2bo35b2o2bo25b2o2bo25b2o2bo45b2o2bo65b2o2bo35b2o2bo35b2o2bo$8b
o205bo33bo39bo39bo4bo24bo39bo29bo29bo5bo43bo69bo39bo39bo6bo$216bo35b2o
38b3o38b2o28b2o38b2o28b3o28b2o48b2o68b2o38b3o38b2o$218bo7bo26b2o39bo
37bobo27bobo39b2o29bo27bobo47bobo69b2o39bo37bobo$220bo31bo40bo70bo38bo
30bo80bo68bo40bo$222bo3bo$224bo$226bo$224bo7bobo$222bo5b2o2b2o$229b2o
2bo$228bo$232b2o$231bobo$233bo4$556b2o$487bo69bo$487b2o6$543bo2$12bobo
7b2o8b2o18b2o18b2o18b2o28b2o28b2o58b2o38b2o38b2o38b2o28bobo37bobo27bob
o109bo7bobo27bobo37bobo37bobo$12b2o348b2o38b2o28b2o29bo88b2o28b2o38b2o
38b2o$8b3o2bo344b3o2bo34b3o2bo24b3o2bo31bo46bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2b3o2bo24b3o2bo34b3o2bo34b3o2bo$10bo349bo39bo29bo36bo82bo29bo
39bo39bo4bo$9bo349bo3b2o34bo3b2o24bo3b3o108bo4bo4b2o23bo4b2o33bo4b3o
32bo5b2o$362bobo39b2o29bo33bo83bobo29b2o39bo37bobo$364bo38bo30bo108bo
11bo28bo40bo$471bo2$472bo2$473bo2$517b2o$473bo43bo3$473bo3$473bo3$473b
o3$473bo2$5bo$3bo469bo$12bobo7b2o8b2o18b2o18b2o18b2o28b2o28b2o58b2o38b
2o38b2o38b2o28b2o38b2o28b2o28bobo47bobo67bobo37bobo37bobo$2bo9b2o448b
2o48b2o68b2o38b2o38b2o$9b2o2bo426bo18b2o2bo9bo35b2o2bo65b2o2bo35b2o2bo
35b2o2bo$8bobo429b2o16bobo3bo43bobo67bobo37bobo37bobo4bo$2bo7bo449bo3b
2o44bo3b2o64bo3b2o34bo3b3o33bo4b2o$463bobo7bo39bobo69b2o39bo37bobo$
515bo68bo40bo$2bo$473bo90bo$563b2o$obo$473bo2$obo$473bo2$2bo$473bo2$2b
o$12bobo7b2o8b2o18b2o18b2o18b2o28b2o28b2o58b2o38b2o38b2o38b2o28b2o38b
2o28b2o28b2o9bo38bobo67bobo37bobo37bobo$10bob2o496bob2o66bob2o36bob2o
36bob2o$2bo7b2obo496b2obo66b2obo36b2obo36b2obo$9bobo461bo35bobo67bobo
37bobo37bobo3bo$3bo510b2o68b2o38b3o38b2o$5bo507bobo69b2o39bo37bobo$
473bo41bo68bo40bo3$473bo3$473bo3$473bo3$5bo467bo$3bo$12bobo7b2o8b2o18b
2o18b2o18b2o28b2o28b2o58b2o38b2o38b2o38b2o28b2o38b2o28b2o28b2o48b2o68b
obo37bobo37bobo7b2o$2bo9b2o459bo108b2o38b2o38b2o9bo$13bo569bo39bo39bo$
9b3o567b3o37b3o37b3o3bo$2bo8bo461bo107bo2b2o35bo2b3o34bo3b2o$10bo569bo
4b2o33bo5bo33bo3bobo$584bo40bo$2bo470bo$575bo$575b2o$obo470bo3$obo470b
o3$2bo470bo$211b2o$211bobo$2bo470bo$12bobo7b2o8b2o18b2o18b2o18b2o28b2o
28b2o58b2o38b2o38b2o38b2o28b2o38b2o28b2o28b2o48b2o68b2o38b2o38b2o$12b
2o$2bo7b2obo459bo$11b2o$3bo6bo$5bo248b2o151b2o64bo$255bo152bo2$473bo2$
22bobo7bobo17bobo17bobo17bobo27bobo27bobo57bobo37bobo37bobo37bobo27bob
o37bobo27bobo27bobo47bobo67bobo37bobo37bobo$22b2o8b2o18b2o18b2o18b2o
28b2o28b2o58b2o38b2o38b2o38b2o28b2o38b2o28b2o28b2o9bo38b2o68b2o38b2o
38b2o$23bo9bo19bo19bo19bo29bo29bo59bo39bo39bo39bo29bo39bo29bo29bo49bo
69bo18bo20bo39bo$20b2o29bo100bo180bo130bo136b2o62bo$19bobo8b3o18b2o18b
2o18b2o28b3o28b2o58b2o38b2o38b3o38b2o28b2o38b2o28b3o28b2o7bo40b2o68b2o
38b3o38b2o$21bo10bo17bobo17bobo19b2o29bo27bobo57bobo39b2o39bo37bobo27b
obo39b2o29bo27bobo47bobo69b2o39bo37bobo$31bo40bo18bo30bo90bo38bo40bo
70bo38bo30bo80bo68bo40bo$473bo3$29bo26bo11bo86bo54bo125bo23bo107bo4bo
36bo157bo2$30bo24bo13bo84bo56bo123bo25bo105bo43bo155bo$32bo2bo2bo2bo2b
o2bo2bo2bo17bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo60bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo29bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo7bo39bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2$41b
o2bo65bo2bo156bo2bo140bo2bo170bo2bo$473bo3$473b2o$474bo2$473bo3$473bo
3$473bo3$473bo3$473bo3$473bo3$473bo3$473bo3$473bo3$473bo3$473bo3$430bo
42bo$430b2o2$473bo3$473bo2$472bo2$430bo36bo3bo$430b2o$467bobo2$467bobo
bo$462bobo$462b2o$458b3o2bo$460bo3bo$459bo4b2o$463bobo25$439bo$439b2o
3$446bo$446b2o!
Interestingly, several of the underlying 2G collisions involve incoming SW gliders at different timings on the same lane (I've grouped these with brackets). Hence only 20 of these collisions can be "rewinded" with respect to both collisions to generate 3G collisions with delay > 1. Three of them will reduce to other delay-0 cases with respect to both of the paired gliders. So altogether there are 20·2 + 58 = 98 search subspaces based on these reactions.

Surveys similarly forthcoming for collisions of the type:
  • 90°, lone glider in Z phase
  • 90°, lone glider in L phase
T collisions are going to be slightly more difficult because the "center" glider (the one first colliding with the two others) can be hit either from both sides, or from ahead + side.

And in case it's of any use, here are all the 2G collisions sorted by collision geometry, phase, and reaction time:

Code: Select all

x = 318, y = 541, rule = B3/S23
92bo169bo$78bobo4bobo2bo152bo4bobo4bobo2bo$77bo3bo2bo3bo4bo147bo5bo3bo
2bo3bo4bo$91bo151bo17bo$77bo3bo2bo3bo158bo3bo2bo3bo$78bobo162bo4bobo$
81bo2bo3bo158bo3bo2bo3bo$243bo$81bo2bo3bo158bo3bo2bo3bo$78bobo4bobo
155bo4bobo4bobo12$34bo6bo22bo9bo6bobobo8bo9bobobo2bo12bo9bobobo2bobobo
68bo6bo22bo9bo6bobobo18bo9bobobo2bobobo2$34bo6bo32bo9bo22bo3bo25bo6bo
69bo6bo32bo9bo32bo6bo$64bo29bo29bo119bo39bo$34bo6bo32bo8bo22bo4bo24bo
6bo70bo6bo32bo8bo32bo6bo2$34bo6bo22bo9bo7bo11bo10bo5bo12bo10bo6bo71bo
6bo22bo9bo7bo21bo10bo6bo2$34bobobo2bobobo28bobobo2bobobo18bobobo2bobob
o18bobobo2bobobo68bobobo2bobobo28bobobo2bobobo28bobobo2bobobo$64bo29bo
29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo
29bo119bo39bo2$15bobo14bobo160bobo16bo$14bo3bo11bobobobo27bo29bo29bo
69bo3bo15bobo27bo39bo$31b2ob2o178b2o$18bo179bo$17bo46bo29bo29bo72bo17b
2o27bo39bo$18bo179bo15bobo$216bo$14bo3bo45bo29bo29bo69bo3bo45bo39bo$
15bobo177bobo2$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo
29bo119bo39bo$72bo$70bobo$64bo6b2o21bo29bo119bo39bo$16bo7bo9bo9bo9bo
19bobo7bobo109bo17bo9bo9bo19bobo37bobo7bobo7bobo$24bobo7bobo7bobo7bobo
17b2o8b2o128bobo7bobo7bobo17b2o38b2o8b2o8b2o$15bo8b2o8b2o8b2o8b2o8bo
10bo9bo8bo29bo70bo18b2o8b2o8b2o8bo10bo28bo10bo9bo6b2obo$37b2o18b3o23bo
127b2o82bo8bo8b2o$14bobobo6b2o10bobo6b3o8bo26bo109bobobo11bobo9b2o9b2o
17b3o40b2o7b2o6bo$25bobo9bo8bo11bo5bo17b3o9bo29bo87bo8bobo8bobo9bo9bo
29bo9bobo6bobo$16bo8bo21bo148bo26bo10bo18bo2$16bo47bo29bo29bo71bo47bo
39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo
39bo3$14bobobo15bo29bo29bo29bo9bobo57bobobo45bo9bobo7bobo17bo9bobo7bob
o7bobo$34bobo97b2o118b2o8b2o28b2o6bob2o8b2o$14bo19b2o99bo58bo55b3o2bo
5b2o2bo29bo6b2obo9bo$32bo31bo29bo29bo119bo7bo7bobo21bo8bo7bobo$14bob2o
12bobo101b2o58bob2o53bo10bo30b2o20b2o$18bo12b2o100b2o63bo93bobo21b2o$
64bo29bo29bo10bo108bo39bo30bo$18bo179bo$14b2obo176b2obo$64bo29bo29bo
119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo
119bo39bo2$15bobo86bobo7bobo78bobo56bobo7bobo7bobo$14bo49bo29bo9b2o8b
2o8bo69bo49bo9b2o8b2o8b2o8bo$105bo9bo139bo9bo9bo$14bo179bo56b3o$15bobo
46bo29bo10b3o7b2o7bo70bobo46bo8bo9b3o9b2o7bo$14bo3bo86bo9bobo76bo3bo
53bo12bo8bobo$106bo8bo148bo11bo$14bo3bo45bo29bo29bo69bo3bo45bo39bo$15b
obo177bobo2$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo
119bo39bo3$64bo29bo29bo119bo39bo$15bobo6bo79bobo87bobobo15bo39bobo37bo
bo$14bo3bo5bobo77b2o2b3o103bobo37b2o38b2o$24b2o38bo29bo10bo2bo15bo73bo
15b2o28bo10bo28bo10bo$14bo3bo90bo186bo$15bobo8b2o169bo18b2o37b3o38b2o$
14bo3bo7bobo35bo29bo29bo90bobo26bo12bo26bo10bobo$26bo169bo20bo38bo$14b
o3bo$15bobo46bo29bo29bo70bo48bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo
29bo119bo39bo3$64bo29bo29bo119bo39bo3$11bo3bobo46bo29bo9bobo17bo70bobo
16bo29bo39bo$9bo4bo3bo85b2o88bo3bo15bobo$11bo93bo108b2o$14bo3bo45bo29b
o29bo69bo3bo45bo39bo$11bo94b2o87bobo14b3o$14bo3bo87bobo85bo3bo15bo$11b
o52bo29bo11bo17bo88bo30bo39bo$14bo3bo175bo3bo$11bo3bobo177bobo$64bo29b
o29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo$72bo$73bo
$64bo6b3o20bo29bo119bo39bo2$11bo4bo57bobo27bobo88bobo56bobo$9bo4bo49bo
9b2o18bo9b2o18bo69bo3bo45bo9b2o28bo$11bo4bo58bo29bo149bo$107b2o85bo3bo
$11bo4bo47bo29bo12bobo14bo70bobo46bo11b3o25bo$107bo90bo59bo$11bo4bo
240bo$64bo29bo29bo73bo45bo39bo$11bo4bo178bobo2$64bo29bo29bo119bo39bo3$
64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo96b2o21bo39b
o$11bo3bobo6bo166bo3bobo16bo5bobobo$9bo4bo3bo5bobo162bo4bo3bo15bobo5bo
bobo$11bo12b2o2b2o34bo29bo29bo66bo19b2ob2o8b2o18bo39bo$18bo9bobo163bo
3bo11bobo$11bo5bo10bo162bo20bo$64bo29bo29bo69bo3bo45bo39bo$11bo3bo175b
o$14bo179bo3bo$11bo2bobobo45bo29bo29bo66bo3bobo46bo39bo3$64bo29bo29bo
119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$11bo3bobo16bo
29bo29bo9bobo17bo9bobo56bo4bo45bo9bobo27bo$9bo4bo3bo15bobo67b2o28b2o
55bo4bo57b2o$11bo22b2o69bo29bo57bo4bo56bo$18bo11b3o31bo29bo29bo119bo
39bo$11bo5bo12bo75b3o27b2o55bo4bo55b3o$18bo12bo74bo28b2o119bo$11bo52bo
29bo12bo16bo12bo55bo4bo45bo10bo28bo$14bo3bo$11bo3bobo175bo4bo$64bo29bo
29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo
29bo119bo39bo2$11bo3bobo116bobo54bo3bobo56bobo37bobo$9bo4bo3bo45bo29bo
29bo9b2o53bo4bo3bo45bo9b2o28bo9b2o$11bo123bo55bo63bo39bo$14bo3bo116bo
62bo$11bo3bobo46bo29bo29bo9b2o55bo5bo46bo11b2o26bo8b2o$18bo115bobo118b
obo36b2o$11bo179bo3bo61bo35bo$18bo45bo29bo29bo69bo49bo39bo$11bo3bobo
173bo2bobobo2$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo
29bo119bo39bo3$64bo29bo29bo119bo39bo$10bobo5bo115bobo54bo3bobo96bobo$
9bo3bo2bo117b2o53bo4bo99b2o$18bo45bo29bo29bo10bo55bo52bo39bo10bo$13bo
180bo102bo$12bo5bo114b2o56bo3bobo99b2o$64bo29bo29bo7b2o60bo3bo45bo39bo
11bobo$10bo7bo115bo56bo$9bo184bo3bo$9bobobo4bo45bo29bo29bo66bo3bobo46b
o39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo
39bo3$8bobo4bobo6bo19bo19bo29bo9bobo17bo63bobo4bobo46bo9bobo27bo$7bo3b
o2bo3bo5bobo17bobob3o53b2o81bo3bo2bo3bo55b2o$24b2o2b3o13b2o2bo56bo149b
o$11bo6bo9bo20bo14bo29bo29bo66bo2bo3bo45bo39bo$10bo6bo11bo73b2o85bo62b
2o$103bobo88bo3bo53bobo$8bo6bo48bo29bo8bo20bo63bo55bo9bo29bo$7bo6bo
172bo6bo3bo$7bobobo2bobobo168bobobo3bobo$64bo29bo29bo119bo39bo3$64bo
29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo2$8bobo
4bobo86bobo27bobo51bobo4bobo56bobo$7bo3bo2bo3bo45bo29bo5b2o2b2o18bo9b
2o51bo3bo2bo3bo45bo9b2o28bo$100bobo2bo29bo119bo$11bo6bo81bo90bo6bo53b
2o$10bo6bo46bo29bo29bo10b2o53bo6bo46bo6bobo30bo$18bo115b2o62bo54bo$8bo
127bo51bo$7bo6bo3bo45bo29bo29bo62bo6bo3bo45bo39bo$7bobobo3bobo169bobob
o3bobo2$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119b
o39bo3$64bo29bo29bo119bo39bo$8bobo3bobobo15bo$7bo3bo22bobo$14bo19b2o
28bo29bo29bo119bo39bo$11bo$10bo3bob2o13b3o$18bo12bo32bo29bo29bo119bo
39bo$8bo23bo$7bo10bo$7bobobo2b2obo46bo29bo29bo119bo39bo2$185bo3bobobo
4bo55bobo$64bo29bo29bo58bo12bo47bo9b2o28bo$185bo3bo8bo56bo2$64bo29bo
29bo60bo3bob2o5bo45bo9b2o28bo$193bo59bobo$185bo12bo56bo$64bo29bo29bo
68bo50bo39bo$185bo3b2obo5bo2$8bobo4bobo46bo29bo9bobo17bo119bo39bo$7bo
3bo2bo3bo85b2o$105bo$11bo2bo3bo45bo29bo29bo119bo39bo$10bo4bobo84b3o$
18bo83bo$8bo55bo29bo8bo20bo119bo39bo$7bo10bo$7bobobo3bobo$64bo29bo29bo
119bo39bo$183bo4bobo4bobo96bobo$181bo5bo6bo3bo95b2o$64bo29bo29bo58bo
60bo39bo10bo$187bo10bo$183bo4bobo6bo98b2o$64bo29bo29bo62bo3bo52bo39bo
12b2o$183bo11bo100bo$187bo3bo2bo$64bo29bo29bo58bo4bobo3bobobo45bo39bo
2$8bobo4bobo86bobo$7bo3bo2bo3bo45bo29bo9b2o18bo119bo39bo$105bo$11bo6bo
$10bo6bo46bo29bo8b3o18bo119bo39bo$11bo91bo$15bo88bo$7bo3bo2bo49bo29bo
29bo119bo39bo$8bobo3bobobo2$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo
39bo3$64bo29bo29bo119bo39bo3$64bo29bo29bo119bo39bo$10bobo5bo115bobo$9b
o6bo117b2o$18bo45bo29bo29bo10bo108bo39bo$9bo126bo$10bobo5bo116b2o$9bo
3bo50bo29bo29bo10bobo106bo39bo$18bo$9bo3bo$10bobo5bo45bo29bo29bo119bo
39bo2$184bo2bobobo3bobo96bobo$64bo29bo29bo57bo11bo3bo45bo39bo9b2o$184b
o6bo103bo$194bo3bo$64bo29bo29bo59bo5bo4bobo46bo39bo9b2o$198bo96b2o$
184bo4bo104bo$64bo6bo22bo29bo73bo45bo39bo$72bo111bo3bo6bobo$70b3o$8bob
o4bobo46bo9bobo17bo29bo119bo$7bo6bo59b2o$75bo$7bo6bo49bo29bo29bo119bo$
8bobo4bobo$7bo3bo2bo3bo$64bo29bo29bo119bo$7bo3bo2bo3bo$8bobo4bobo$64bo
29bo29bo119bo$181bobo4bobo4bobo16bo$180bo3bo2bo3bo2bo3bo15bobo$64bo29b
o29bo89b2o28bo$184bo2bo3bo2bo3bo$183bo4bobo4bobo13b3o$64bo29bo29bo59bo
2bo3bo6bo14bo30bo$212bo$180bo3bo2bo3bo6bo$64bo29bo29bo56bobo4bobo4bobo
46bo2$8bobo3bobobo115bobo$7bo56bo29bo29bo9b2o$18bo116bo$7bo129bo$8bobo
6bo46bo29bo29bo11b2o$7bo3bo124bobo$16bo$7bo3bo52bo29bo29bo$8bobo4bo2$
64bo29bo29bo3$64bo29bo29bo3$64bo29bo29bo3$64bo29bo29bo$8bobo5bo87bobo$
7bo3bo92b2o$15bo48bo29bo10bo18bo$7bo3bo$8bobo3bobobo85b3o$11bo52bo29bo
9bo19bo$16bo88bo$11bo$8bobo5bo47bo29bo29bo3$64bo29bo29bo3$64bo29bo29bo
3$64bo29bo29bo3$64bo29bo3$64bo29bo3$64bo29bo3$64bo29bo3$64bo29bo3$64bo
29bo3$64bo29bo2$5bo3bobobo4bo85bobo$3bo12bo47bo29bo9b2o$5bo3bo8bo86bo
2$5bo3bob2o5bo45bo29bo9b2o$13bo90bobo$5bo12bo85bo$13bo50bo29bo$5bo3b2o
bo5bo2$64bo29bo3$64bo29bo3$64bo29bo3$64bo29bo3$64bo29bo3$64bo29bo$73bo
$71bobo$64bo7b2o20bo2$5bo4bobo5bo55bobo$3bo5bo3bo2bo47bo9b2o18bo$5bo
12bo56bo$9bo3bo$5bo4bobo5bo45bo29bo$9bo3bo$5bo12bo$9bo3bo50bo29bo$5bo
4bobo5bo2$64bo29bo3$64bo29bo3$64bo29bo3$64bo29bo$3bo4bobo4bobo16bo$bo
5bo3bo2bo3bo15bobo$3bo30b2o28bo29bo$7bo3bo6bo$3bo4bobo6bo15bo$7bo3bo
19bobo30bo29bo$3bo11bo16b2o$7bo3bo2bo$3bo4bobo3bobobo45bo29bo3$64bo29b
o3$64bo29bo3$64bo29bo3$obobo3bobo4bobo46bo29bo9bobo$7bo3bo2bo3bo85b2o$
o104bo$11bo2bo3bo45bo29bo12b3o$ob2o6bo96bo$4bo6bo2bo3bo89bo$64bo29bo$
4bo2bo3bo2bo3bo$2obo4bobo4bobo$64bo29bo!

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Tropylium
Posts: 421
Joined: May 31st, 2011, 7:12 pm
Location: Finland

Re: Cataloguing 3G collisions

Post by Tropylium » September 27th, 2014, 7:47 pm

And this should be all the 180° 2-on-L no-delay collisions. 64 total, 26 two-side-rewindable, 14 one-side-rewindable.

Code: Select all

x = 461, y = 410, rule = B3/S23
222b2o$222bo28$199b2o$198bobobo97b2o$200bobobo96bo$202b2o2$201bo$201b
2o2bobobo$151b2o47bobo$151bo53bobo2$205bo3bo3$211bo3$212bo3$213bo2$
212bo$212b2o3$213bo3$213bo2$278b2o$213bo65b2obo$278bo3bobo$282b2o$213b
o$283bo$283b2o$213bo68bobo$287bobobo2$213bo73bobo2$287bo$202bo10bo77bo
29bo$202b2o116b2o2$213bo78bo3$213bo79bo3$213bo79bo3$213bo79bo3$213bo
79bo$8b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o28b2o28b2o18b2o28b2o
28b2o18b2o18b2o$9b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o28b2o28b2o
18b2o28b2o28b2o18b2o18b2o$8bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15bo3bo15b
o3bo15bo3bo15bo3bo25bo3bo10bo14bo3bo15bo3bo25bo3bo10bo14bo3bo15bo3bo
15bo3bo$12bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo17bobo27bobo
27bobo17bobo27bobo27bobo17bobo17bobo$12b2o18b2o18b2o18b2o18b2o18b2o18b
2o18b2o18b2o28b2o28b2o18b2o28b2o28b2o18b2o18b2o$28b3o18b2o18b2o19bo
122bo79bo$30bo19b2o16bobo19b2o17b3o18b2o18b2o18b3o28bo29b2o19bo30bo29b
2o19bo19b2o$29bo19bo20bo18bobo19bo17bobo19b2o19bo28b2o27bobo19b2o29b2o
27bobo19b2o17bobo$110bo20bo18bo20bo28bobo10bo18bo18bobo28bobo8bo20bo
18bobo19bo3$213bo79bo3$213bo79bo2$257bo$213bo42b2o35bo3$213bo79bo3$
213bo79bo3$213bo14bo64bo$227b2o2$213bo79bo2$198b2o$199b2obo10bo78bo$
198bo3bobo$202b2o39b2o$213bo30bo46bo$201bo$201b2o86bo$200bobo10bo$287b
o2$8b2o98b2o18b2o18b2o18b2o43bo14b2o18b2o35bo22b2o13bo4b2o18b2o$9b2obo
19b2o18b2o18b2o18b2o15b2obo16b2obo16b2obo16b2obo56b2obo16b2obo56b2obo
10b2o4b2obo16b2obo$8bo3bobo93bo3bobo13bo3bobo13bo3bobo13bo3bobo53bo3bo
bo13bo3bobo28bo24bo3bobo13bo3bobo13bo3bobo$12b2o98b2o18b2o18b2o18b2o
39bo18b2o18b2o58b2o18b2o18b2o2$109b3o18b2o18b2o18b3o58b2o19bo60b2o19bo
19b2o$111bo17bobo19b2o19bo40bo16bobo19b2o58bobo19b2o17bobo$110bo20bo
18bo20bo60bo18bobo60bo18bobo19bo2$213bo3$213bo3$213bo3$213bo3$212bo3$
211bo2$209bo2$5bo201bo$3bo$9b2o118b2o18b2o54bo23b2o18b2o28b2o28b2o18b
2o18b2o$2bo5bobobo19b2o18b2o18b2o18b2o18b2o14bobobo15bobobo19b2o54bobo
bo15bobobo25bobobo25bobobo15bobobo15bobobo$10bobobo115bobobo15bobobo
48bo26bobobo15bobobo25bobobo25bobobo15bobobo15bobobo$12b2o118b2o18b2o
78b2o18b2o28b2o28b2o18b2o18b2o$2bo$130b2o18b2o79b2o19bo30bo29b2o19bo
19b2o$129bobo19b2o77bobo19b2o29b2o27bobo19b2o17bobo$2bo128bo18bo81bo
18bobo28bobo29bo18bobo19bo3$2bo3$2bo3$obo3$obo2$211b2o$2bo209bo3$2bo3$
2bo3$2bo5b2o2bo19b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o24b2o2bo25b2o2b
o15b2o2bo25b2o2bo25b2o2bo15b2o2bo15b2o2bo$9b2obobo184b2obobo24b2obobo
14b2obobo24b2obobo24b2obobo14b2obobo14b2obobo$3bo4bo3b2o184bo3b2o24bo
3b2o14bo3b2o24bo3b2o24bo3b2o14bo3b2o14bo3b2o$5bo$201bo29b2o19bo30bo29b
2o19bo19b2o$201b2o27bobo19b2o29b2o27bobo19b2o17bobo$200bobo29bo18bobo
28bobo29bo18bobo19bo5$177b2o$177bo18$12bo19b2o18b2o18b2o18b2o18b2o18b
2o18b2o18b2o28b2o28b2o18bo29bo29bo19bo19bo$8b2o2bobo233b2o2bobo23b2o2b
obo23b2o2bobo13b2o2bobo13b2o2bobo$9b2ob2o235b2ob2o25b2ob2o25b2ob2o15b
2ob2o15b2ob2o$8bo239bo29bo29bo19bo19bo$252bo30bo29b2o19bo19b2o$202bo
49b2o29b2o27bobo19b2o17bobo$201b2o48bobo28bobo29bo18bobo19bo13$5bo$3bo
8bo19b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o28b2o28b2o18b2o28bo29bo19bo
19bo$12bobo267bobo27bobo17bobo17bobo$2bo5b3ob2o264b3ob2o24b3ob2o14b2o
2b2o14b3ob2o$10bo269bo29bo18b2o19bo$9bo269bo3bo25bo3b2o13bo4b2o14bo4b
2o$2bo280b2o27bobo17bobo18bobo$282bobo29bo19bo20bo2$2bo3$obo3$obo3$2bo
3$2bo9bo19b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o28b2o28b2o18b2o28bo29b
o19bo19bo$12bobo267bobo27bobo17bobo17bobo$8b2o2b2o264b2o2b2o24b2o2b2o
14b2o2b2o14b2o2b2o$2bo6b2o268b2o28b2o18b2o18b2o$8bo269bo4bo24bo4b2o13b
o5bo13bo5b2o$3bo279b2o27bobo19b2o17bobo$5bo276bobo29bo18bobo19bo13$5bo
$3bo8bo19b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o28b2o28b2o18b2o28b2o28b
2o18bo19bo$12bobo317bobo17bobo$2bo6b2ob2o315b2ob2o15b2ob2o$8bobo317bob
o17bobo$10bo319bo3bo15bo3b2o$2bo331b2o17bobo$333bobo19bo2$2bo3$2bo3$2b
o3$2bo3$2bo3$2bo3$2bo3$2bo$12bo19b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o28b2o28b2o18b2o28b2o28b2o18bo19bo29b2o$12bobo317bobo17bobo27bo$2bo6b
o2b2o315bo2b2o15bo2b2o$9b2o318b2o18b2o$8bobo317bobo3bo13bobo3b2o$2bo
331b2o17bobo$333bobo19bo16b2o$o2bo368bo2$4bo$2bo$6bo2$8bo2$10bo395bo$
339bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$
12bo324bo66bobo2$14bo320bo66bobobo$32bo19b2o18b2o18b2o18b2o18b2o18b2o
18b2o28b2o28b2o18b2o28b2o28b2o38bo7bo51bo$16bo15bobo298bo18bobo5b2o50b
obo$32b2o318b2o58b2o$18bo9b3o317b3o57b3o$30bo319bo3b2o54bo3bo$20bo8bo
319bo3bobo53bo4b2o$355bo57bobo$22bo$24bo$26bobo11$52bo19b2o18b2o18b2o
18b2o18b2o18b2o28b2o28b2o18b2o28b2o28b2o18b2o18bo$52bobo297bobo$52b2o
298b2o13b2o$49b2o298b2o16bo$50b2o298b2o2b2o$49bo299bo3bobo$44bo310bo2$
44bo2$45bo321b2o$367bo$47bo2$49bo2$51bo2$53bo2$52bo2bo16bo19b2o18b2o
18b2o18b2o18b2o28b2o28b2o18b2o28b2o28b2o18bo19bo$72bobo257bobo17bobo$
54bo2bo14b2o258b2o18b2o$69b2o258b2o18b2o$59bo8bobo257bobo3bo13bobo3b2o
$70bo259bo3b2o14bo2bobo$61bo271bobo19bo2$63bo2$65bo$67bobo9$92bo19bo
19bo19bo19bo29bo29bo19bo29bo29bo19bo19bo$92bobo17bobo17bobo17bobo17bob
o27bobo27bobo17bobo27bobo27bobo17bobo17bobo$92b2o18b2o18b2o18b2o18b2o
28b2o28b2o18b2o28b2o28b2o18b2o18b2o$90bo$90b2o17b3o18b2o18b2o18b3o28bo
29b2o19bo30bo29b2o19bo19b2o$89bobo19bo17bobo19b2o19bo28b2o27bobo19b2o
29b2o27bobo19b2o17bobo$110bo20bo18bo20bo28bobo29bo18bobo28bobo29bo18bo
bo19bo4$86bo26bo13bo47bo22bo35bo45bo35bo13bo26bo2$87bo24bo15bo45bo24bo
33bo47bo33bo15bo24bo$89bo2bo2bo2bo2bo2bo2bo2bo19bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo28bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo51bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo19bo2bo2bo2bo2bo2bo2bo2bo$459bo$98bo2bo49bo2bo61b
o2bo78bo2bo40bo2bo113b2o3$252bo$252b2o!

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