[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 $$$$$$$.....***$ 4 0 0 0 1 $$$$$$$...***$ 4 0 0 0 3 5 0 0 2 4 6 0 0 0 5 7 0 0 6 0 $$$$$$$****$ $$$$$$$.**$ 4 0 0 8 9 $$$$$$.......*$ 4 0 0 0 11 5 0 0 10 12 .....*$.....*$.....*$......*$ ......*$.....***$....**.*$....***$....***$.....**$ 4 0 14 0 15 *$....***$...*..*$...*...*$..**..*$....*$.....**$.....***$ ...*..*$...*$...*$....*$*$$*$....*$ .....***$$$$$.....*$.....**$....*..*$ ...***$...*.**$....***$....**$ 4 17 18 19 20 $$$$.***$*****$*.***$**$ 4 0 0 22 0 ......**$ $$$$$$......*$.....***$ 4 24 0 0 25 5 16 21 23 26 *...*$*$.*$$$...**$..*..*$..*..*$ **.**$.****$..**$$.....*$.....**$.......*$..*****$ ..**.**$....**$$$$****$*...*$*$ ..****$..*$$$...***$..*****$.**.***$..**$ 4 28 29 30 31 $$$$$...*$....**$...**$ 4 0 33 0 0 .*$ 4 35 0 0 0 $...**$..****$.**.**$..**$$$.......*$ .....***$....*.**$...**$....***$.....***$$$...**$ *$***$...*$*...*$...*$..*$ 4 37 0 38 39 5 32 34 36 40 $$$$$$$.....**$ 4 0 0 42 0 ....**.*$....***$....***$.....**$ 4 0 44 0 0 ....****$...**.**$....**$ $$$$$$$.***$ 4 46 0 0 47 $$.......*$......**$.......*$ $$*$.***$****$***...*$.....*.*$......*$ 4 0 0 49 50 5 43 45 48 51 6 13 27 41 52 $$....*$...***$...*.**$....***$....**$ $$$$...*$..***$.**..*$.*...*$ $$$...***$..*..*$.....*$.....*$..*.*$ .*.**$.**$ 4 54 55 56 57 $$..*$.***$.*.**$..***$..**$ $$$$.***$.*..*$.*$.*$ $$$$.***$*****$***.**$...**$ 4 59 0 60 61 5 0 0 58 62 $$$$$$$..**$ $$$$$$$.****$ 4 0 0 64 65 5 0 0 0 66 ..*$.*.**$.*..*$$.*$*.*$...*$ 4 0 68 0 0 .*$..*$ $$$$$$$......**$ 4 70 11 71 0 $$.***$.*..*$.*$.*$.*$..*$ $$....**$.***.**$.*****$..***$ 4 73 0 74 0 .....***$.....**$.......*$ *$**$*$ 4 76 77 47 0 5 69 72 75 78 $$$$$.*$*$**$ $$$$.......*$......**$.....*$......**$ .......*$$$$.......*$......**$......**$ 4 80 81 0 82 **.**$****$.**$$$$.......*$***....*$ *...*$....*$...*$$$**$..*$..*$ ***...**$..*....*$$$**$***$*.**$.**$ .**$*$$$$.****$*...*$....*$ 4 84 85 86 87 $$.......*$.......*$$$$.....*$ $**$***$*.**$.**$ ....****$..*****$.*$*...*.**$.*...***$..*$ $*$**$*$$$$**$ 4 89 90 91 92 ...*$ 4 0 94 0 0 5 83 88 93 95 6 63 67 79 96 $$..****$..*...*$..*$...*$ $$...**$..**.**$...****$....**$ .....*$....*$....*$....**$......*$ ....*$....**$...**$..**$$**$ 4 98 99 100 101 ..****$.**.**$..**$ ..****$..*...*$..*$...*$ $.......*$.......*$$$$..***$..*$ 4 103 104 0 105 4 104 0 0 0 $....*$...*$...*...*$...****$ 4 108 94 0 0 5 102 106 107 109 $$$$....***$....*$.....*$ $**$$*$ 4 111 70 112 0 5 113 0 0 0 6 110 114 0 0 ...*$..*$$$......**$$.......*$ .......*$......*$$$*$*$ $...***$.....*$....*$ 4 116 117 0 118 5 0 119 0 0 ***....*$..*....*$..*$.*$ ***$*.**$.**$......**$......**$.......*$ $$$$$$***$..*$ $.......*$ 4 121 122 123 124 $$**.....*$.**...*$**$*$ $$***$..*$..*$.*$ *......*$*$**$.**....*$......*$...**$ $*$*$*$ 4 126 127 128 129 .*$$$.....*$......**$ $*$.*$.*$**$ 4 131 132 0 0 .......*$......*$ ***$..*$..*$.*$ 4 134 135 0 0 5 125 130 133 136 6 120 137 0 0 7 53 97 115 138 8 0 7 0 139