2-glider collision
A 2-glider collision is the collision, at right angles or head-on[note 1], of two gliders.
The gliders can react with each other in many different ways; a large number of the reactions cleanly destroy both gliders leaving nothing. Many of the remaining reactions cleanly create some common objects, and so are used as the first steps in glider syntheses or as part of constructing interesting objects using rakes. Only a small number of collisions can be considered dirty due to creating multiple objects or a mess.
Here is a list of the possible results along with how many different ways they can occur (ignoring reflections and rotations).
| Result | Right-angle | Head-on |
|---|---|---|
| nothing | 11 | 17 |
| Beehive | 1 | 0 |
| B-heptomino | 1 | 2 |
| Bi-block | 1 | 0 |
| Blinker | 2 | 1 |
| Block | 3 | 3 |
| Boat | 0 | 1 |
| Eater 1 | 1 | 0 |
| Glider | 1 | 1 |
| Honey farm | 3 | 2 |
| Interchange | 1 | 0 |
| Loaf | 0 | 1 |
| Lumps of muck | 1 | 0 |
| Octomino | 0 | 1 |
| Pi-heptomino | 2 | 1 |
| Pond | 1 | 1 |
| Teardrop | 1 | 0 |
| Traffic light | 2 | 1 |
| Four skewed blocks | 0 | 1 |
| Dirty | 6 | 0 |
The messiest of the two-glider collisions in the "dirty" category is 2-glider mess.
| <html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 379, y = 369, rule = B3/S23
154bo36bo18bo$58bo18bo19bo16bo19bo18bo19bo16bo18bo36bo$57bo18bo19bo16b
o19bo19b3o16bo17b3o16b3o15bo17bo$57b3o16b3o17b3o14b3o17b3o36b3o51bo18b
3o$226b3o4$190bo$58b3o17b3o89bo18b2o55bo$58bo19bo20bo17bo20bo13b2o15b
2o18bobo14b2o20bo16b2o$59bo19bo18b2o16b2o19b2o13bobo14bobo34bobo18b2o
16bobo$98bobo15bobo18bobo12bo53bo20bobo$bo4bo3bobo3bobobo2bo3bo3bo3bo
4bo4bobo2$bobo2bo2bo3bo4bo4bo3bo3bo3bobo2bo2bo2$bo2bobo2bo3bo4bo4bobob
o3bo3bo2bobo2bo2bobo2$bo4bo2bo3bo4bo4bo3bo3bo3bo4bo2bo4bo266bo$269bo
22bo21bo62bo$bo4bo3bobo5bo4bo3bo3bo3bo4bo4bobo182bo15bo21bo22bo22b3o
18bo22bo17bo$229bo15bo22b3o20b3o40bo22bo18b3o$86bo16bo17bo16bo16bo15bo
17bo16bo22b3o13b3o86b3o20b3o$66bo18bo16bo17bo16bo16bo15bo17bo16bo$65bo
19b3o14b3o15b3o14b3o14b3o13b3o15b3o14b3o$65b3o4$224b3o15b3o59b2o$76b3o
16b3o16b3o15b3o15b3o14b3o16b3o15b3o19bo17bo11b2o23b2o20bobo20b2o40b2o$
54b3o21bo18bo18bo17bo17bo16bo18bo17bo18bo17bo13b2o23b2o21bo21b2o12b2o
26b2o$56bo20bo18bo18bo17bo17bo16bo18bo17bo50bo24bo44bo15b2o24bo$55bo
285bo23$106bo157bo$74bo30bo157bo38bo$2bobo4bo6bo3bo4bo2bo3bo2bobobo2bo
bo28bo15bo15b3o119bobobo2bo28b3o14bo20bo$46bo26b3o12bo190bo21b3o$2bo3b
o2bo6bo3bobo2bo2bo2bo3bo6bo45b3o138bo4bo44b3o$46bo$2bobo4bo6bo3bo2bobo
2bobo4bobobo2bobo184bo4bo2$2bo3bo2bo6bo3bo4bo2bo2bo3bo6bo2bo183bo4bo$
305b3o$2bobo4bobobo2bo3bo4bo2bo3bo2bobobo2bo3bo61b2o119bo4bobobo44bo
21bo$108bobo146b2o23b2o22bo$66b2o21b2o17bo149b2o22bobo$65bobo21bobo
165bo$67bo21bo17$84bo15bo39bo153bo24bo19bo$bobo4bo7bobo4bobo3bo3bo28bo
20bo15bo39bo88bo3bo2bobobo20bo16bo15bo24bo19bo$61bo21b3o13b3o15bo21b3o
17bo99bo16bo16b3o22b3o17b3o$bo3bo2bo6bo3bo2bo3bo2bo2bo28b3o52bo41bo69b
o3bo2bo23b3o14b3o$116b3o39b3o$bobo4bo6bo3bo2bo6bobo196bobobo2bobobo2$b
o3bo2bo6bo3bo2bo3bo2bo2bo195bo3bo2bo2$bobo4bobobo3bobo4bobo3bo3bo85b3o
106bo3bo2bo$54b3o62bo17b2o16bo103bo35b2o35b2o$56bo21b2o15b2o23bo16bobo
14b2o102b2o16b2o17bobo11b2o22b2o$55bo23b2o15b2o39bo16bobo101bobo15bobo
16bo14b2o20bo$78bo16bo180bo32bo6$73b2o19b2o$74bo20bo152b2o$249bo7$64bo
233bo$63bo20bo194bo17bo$63b3o17bo166bo27bo18b3o$2bobo3bo6bo3bobo4bobob
o2bobo47b3o143bobo17bo28b3o$37bo211b3o$o7bo6bo3bo3bo2bo6bo195bo3bo$37b
o275b2o$o2bobo2bo6bo3bo3bo2bobobo2bobo193bobo82bo$256b2o$o4bo2bo6bo3bo
3bo2bo6bo2bo192bo3bo23bo$80bo$2bobo3bobobo2bo3bobo4bobobo2bo3bo20b2o
19b2o148bobo18bo42b2o$57bobo19bobo167b2o13b2o26bobo$59bo189bobo13b2o
27bo$264bo14$252b2o24b2o$253bo25bo$258bo15bo$257bo15bo26bo$61bo195b3o
13b3o23bo$obo5bobo5bo4bobobo34bo167bobo4bo63b3o$60b3o169bo45bo24b3o$o
3bo2bo3bo3bobo5bo204bo6bo41b2o24bo$232bo44bobo24bo$obo4bo3bo2bo3bo4bo
204bobo4bo19b2o37b2o$254bobo38bo$o3bo2bo3bo2bobobo4bo204bo6bo20bo2$obo
5bobo3bo3bo4bo204bo6bo2$53b2o$54b2o$53bo18$3bo3bo3bo3bo3bo2bobobo30bo
169bo6bobo3bo5bo18bo$56bo207bo$3bo3bo3bo3bo3bo2bo33b3o168bo5bo3bo2bobo
bobo17b3o2$3bobobo3bo3bo3bo2bobobo200bo5bo3bo2bo2bo2bo2$3bo3bo3bo4bobo
3bo204bo5bo3bo2bo5bo2$3bo3bo3bo5bo4bobobo32b3o165bobobo2bobo3bo5bo$59b
o203bo$60bo201b2o$262bobo17$67bo$66bo$4bo6bobo5bo4bobobo37b3o157bobobo
2bobobo4bo4bobo4bobo4bobo5bobo3bobo$251bo13bo13bo17bo$4bo5bo3bo3bobo3b
o203bo4bo7bobo3bo6bo3bo2bo6bo3bo2bo20bo$251bo13bo13bo16b3o$4bo5bo3bo2b
o3bo2bobobo199bo4bobobo2bo3bo2bobo4bo3bo2bobo4bo3bo2bobo2$4bo5bo3bo2bo
bobo2bo203bo4bo6bobobo2bo2bo3bo3bo2bo2bo3bo3bo2bo2$4bobobo2bobo3bo3bo
2bo203bo4bobobo2bo3bo2bo3bo2bobo4bo3bo3bobo3bo$58b2o239bo$57bobo238b2o
$59bo238bobo16$59bo$58bo$58b3o264bo$3bobobo4bo4bobobo2bobobo2bobo193bo
3bo4bo2bobobo2bobobo2bobo5bobo3bo3bo4bo4bo4bo4bobo3bobobo22bo$35bo221b
o66b3o$3bo7bobo5bo4bo6bo195bo3bobo2bo4bo4bo6bo6bo3bo2bo3bo3bobo3bobo2b
o2bo7bo$35bo221bo$3bobobo2bo3bo4bo4bobobo2bobo193bo3bo2bobo4bo4bobobo
2bobo4bo6bobobo2bo3bo2bo2bobo2bo2bobo2bobobo$57bo$3bo6bobobo4bo4bo6bo
2bo21b2o169bo3bo4bo4bo4bo6bo2bo3bo3bo2bo3bo2bobobo2bo4bo2bo4bo2bo26b3o
$56bobo265bo$3bobobo2bo3bo4bo4bobobo2bo3bo191bo3bo4bo4bo4bobobo2bo3bo
3bobo3bo3bo2bo3bo2bo4bo4bobo3bobobo23bo11$305b2o$306bo9$55bo16bo237bo$
2bobo5bobo3bo4bo2bobo27bo16bo155bobobo2bo14bobo3bo6bo3bobo4bobobo2bobo
26bo$6bo47b3o14b3o210bo24b3o$2bo6bo3bo2bobo2bo2bo3bo200bo4bo7bo4bo7bo
6bo3bo3bo2bo6bo$6bo277bo$2bobo4bo3bo2bo2bobo2bo3bo200bo4bo5bobobo2bo2b
obo2bo6bo3bo3bo2bobobo2bobo2$2bo6bo3bo2bo4bo2bo3bo200bo4bo7bo4bo4bo2bo
6bo3bo3bo2bo6bo2bo26b3o$310bo$2bo7bobo3bo4bo2bobo46bo155bo4bobobo10bob
o3bobobo2bo3bobo4bobobo2bo3bo26bo$50b2o20b2o$51b2o19bobo$50bo19$2bobo
5bo7bobo4bo7bobo4bobo3bo3bo2$2bo3bo3bo7bo3bo2bo6bo3bo2bo3bo2bo2bo28bo
239bo$77bo239bo$2bobo5bo2bobo2bobo4bo6bo3bo2bo6bobo28b3o237b3o$229bobo
4bobo3bobobo3bobo3bo5bo3bo3bo4bo3bobo$2bo3bo3bo7bo3bo2bo6bo3bo2bo3bo2b
o2bo$228bo3bo2bo3bo4bo4bo3bo2bobobobo3bo3bobo2bo2bo3bo$2bobo5bo7bobo4b
obobo3bobo4bobo3bo3bo$228bo3bo2bo8bo4bo3bo2bo2bo2bo3bo3bo2bobo2bo3bo$
77b3o$77bo150bo3bo2bo3bo4bo4bo3bo2bo5bo3bo3bo4bo2bo3bo$78bo$229bobo4bo
bo5bo5bobo3bo5bo3bo3bo4bo3bobo26b2o$307bobo$309bo7$276b2o37b2o$277bo
38bo6$112bo13bo$2bo6bobo5bo4bobobo9bobo4bo6bo3bo4bo2bo3bo2bobobo2bobo
32bo13bo$80bo30b3o11b3o$2bo5bo3bo3bobo3bo8bo4bo3bo2bo6bo3bobo2bo2bo2bo
3bo6bo$80bo$2bo5bo3bo2bo3bo2bobobo2bobobo2bobo4bo6bo3bo2bobo2bobo4bobo
bo2bobo2$2bo5bo3bo2bobobo2bo8bo4bo3bo2bo6bo3bo4bo2bo2bo3bo6bo2bo2$2bob
obo2bobo3bo3bo2bo13bobo4bobobo2bo3bo4bo2bo3bo2bobobo2bo3bo$107b2o21b2o
195bo$107bobo20bobo193bo$107bo22bo98bobobo9bobo3bo6bo3bobo4bobobo2bobo
7bo5bo2bobobo3bobo3bobo16b3o$278bo$233bo7bo7bo6bo3bo3bo2bo6bo9bobobobo
2bo6bo5bo$278bo$229bobobo2bobo2bo2bobo2bo6bo3bo3bo2bobobo2bobo7bo2bo2b
o2bobobo3bobo3bobo2$229bo11bo4bo2bo6bo3bo3bo2bo6bo2bo6bo5bo2bo10bo5bo$
324bo$229bobobo9bobo3bobobo2bo3bobo4bobobo2bo3bo5bo5bo2bobobo3bobo3bob
o13b2o$323bobo7$69bo$68bo$46bo21b3o34bo$3bo5bo3bo3bobo4bobo18bo58bo$
45b3o56b3o$3bobobobo3bo2bo6bo3bo2$3bo2bo2bo3bo3bobo3bo2$3bo5bo3bo6bo2b
o3bo19b3o$47bo24b2o17b3o177b2o32b2o$3bo5bo3bo3bobo4bobo21bo23bobo18bo
178bo33bo$72bo19bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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| All 71 distinct 2-glider collisions, arranged by what they synthesize in a pattern constructed by Jason Summers[2] (click above to open LifeViewer) RLE: here Plaintext: here |
See also
Notes
- The direction requirement is a necessary but not sufficient condition for the 2-glider collision to be valid. For two gliders in the same direction, they either do not interact forever, or collapse in at most 4 ticks due to being very close. In the latter case, the gliders cannot come from infinity and this "collision" is deemed invalid. Glider syntheses should avoid such glider pairs.[1]
References
- Bob Shemyakin (February 15, 2015). Errors of glider synthesis (discussion thread) at the ConwayLife.com forums
- Dave Greene (January 29, 2005). "71 Glider Collisions". Game of Life News. Retrieved on April 25, 2020.
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