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[M2] (golly 2.0)
#C A variant of the jagged line pattern in which some of the gliders
#C from the LWSS collision undergo 3 kickback reactions.
#C
#C The pattern looks roughly like this; view in a fixed-width font:
#C
#C F
#C .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C . .
#C I . . J
#C . . . .
#C . . . L .
#C . . ...... .
#C . . ...... . . .
#C . K ... . . .
#C . . ... . . .
#C . . .. . . .
#C . . ... . .
#C . . . ... . .
#C .. . ....
#C G .. . . H
#C . .. . . .
#C . .. . . .
#C . .. . . .
#C . .. . . .
#C . ... . .
#C . .. . .
#C . . .. . .
#C . . ... .
#C .............................................................................
#C A B . C D E
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C .
#C M
#C
#C The lines AE, BF, and DF are straight; the others are jagged. CG is
#C actually two jagged lines, which sometimes cross.
#C
#C BF and DF are lines of gliders headed southwest and southeast.
#C
#C AC and CD are lines of LWSSs headed toward C. At C, they crash to form
#C gliders headed northwest (CI) and northeast (CJ).
#C
#C At H some of the gliders reflect toward the northwest, forming HK. The
#C rest escape, forming HJ.
#C
#C At K the gliders reflect again, toward the northeast, forming KL.
#C
#C At L they reflect again, toward the southwest, forming LM.
#C
#C At G some of the northwestward gliders hit gliders in BF, forming
#C blinkers which are the other part of CG. The rest escape, forming GI.
#C
#C In generation t, some of the coordinates are (asymptotically):
#C
#C A=(-t/2,0) B=(-t/6,0) D=(t/6,0) E=(t/2,0) F=(0,t/2)
#C I=(-t/4,t/4) J=(t/4,t/4) M=(-t/4,-t/4)
#C
#C If the collision point C didn't drift, then the coordinates of the
#C other points would be:
#C
#C C=(0,0) G=(-t/8,t/8) H=(t/8,t/8) K=(-t/10,t/5)
#C L=(t/11,5t/22)
#C
#C But it does drift, and I don't know if it oscillates back and forth,
#C or moves slowly but steadily in one direction. (In gen 17409 it's moved
#C 260 units west; in gen 72609 it's 700 units east.)
#C
#C In addition to the headon LWSS crashes at C, the glider+LWSS crashes
#C at B and D, the kickbacks at H, K, and L, and the glider+glider ->
#C blinker collisions at G, there are some other reactions that occur
#C occasionally:
#C
#C When C drifts far enough to the left, one of the gliders on CH may hit
#C one of the blinkers, turning it into a pond; this first happens at gen
#C 11986. A subsequent glider on the same path turns it into a block (first
#C happens at 12056), and a third glider deletes it (first at 12300).
#C
#C Sometimes a glider on LM will hit a glider on CG, deleting both (first at
#C gen 11808). And sometimes an LM glider will hit an eastward LWSS on BC;
#C this is a ternary reaction which deletes the glider and 2 LWSSs (first at
#C gen 5393).
#C
#C Unless I've overlooked something, that's all that ever happens.
#C
#C The open question here is what happens to the collision point C. Does it
#C drift infinitely far west? Infinitely far east? Both?
#C
#C Dean Hickerson (dean.hickerson@yahoo.com) 7 May 2005
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