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).

ResultRight-angleHead-on
nothing1117
Beehive10
B-heptomino12
Bi-block10
Blinker21
Block33
Boat01
Eater 110
Glider11
Honey farm32
Interchange10
Loaf01
Lumps of muck10
Octomino01
Pi-heptomino21
Pond11
Teardrop10
Traffic light21
Four skewed blocks01
Dirty60

The messiest of the two-glider collisions in the "dirty" category is 2-glider mess.

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THUMBLAUNCH ]] #C [[ WIDTH 1200 HEIGHT 1200 ZOOM 3 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html>
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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

  1. 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

  1. Bob Shemyakin (February 15, 2015). Errors of glider synthesis (discussion thread) at the ConwayLife.com forums
  2. Dave Greene (January 29, 2005). "71 Glider Collisions". Game of Life News. Retrieved on April 25, 2020.
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