0,0 → 1,304 |
#Life 1.05 |
#D Orthogonal sawtooth with expansion factor 11 |
#D Population is unbounded but does not tend to infinity. Its graph is a |
#D sawtooth function with ever-increasing teeth. More specifically, the |
#D population in generation t = 36*11^n - 37 (n>=1), is 7(t+1)/30 + 746, but the |
#D population in generation 12*11^n - 51 (n>=1) is only 635 if n is even, 633 if |
#D n is odd. This uses a spark from a period 9, speed c/3 orthogonal spaceship, |
#D found by David Bell, to turn a LWSS into a loaf, which is then pulled back by |
#D pairs of LWSSs. When the loaf is pulled all the way back, it gets deleted and |
#D the cycle begins again. (The deletion is caused by interaction with a LWSS |
#D and with 3 gliders which would otherwise form a LWSS.) |
#D |
#D Try putting something in the path of the c/3, far away from the guns. When |
#D the beam of LWSSs hits the resulting garbage, it is likely that a loaf will |
#D eventually be formed and pulled back. No matter where the loaf starts, when |
#D it reaches the guns it will be deleted by one of 3 different reactions. (The |
#D block behind the c/3 is used for one of these; it's not needed for the |
#D sawtooth pattern itself.) The beam of LWSSs will again be released and may |
#D eventually form another loaf. The process may be repeated many times until |
#D either the LWSS beam burns through the garbage or the reaction moves upstream |
#D and consumes the guns. |
#D |
#D Dean Hickerson, dean@ucdmath.ucdavis.edu 5/15/92 |
#N |
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