Orthogonal sawtooth with expansion factor 6 Population is unbounded but does not tend to infinity. Its graph is a sawtooth function with ever-increasing teeth. More specifically, the population in generations t near 28*6^n is about t/5 if t is odd and about 3t/20 if t is even, but the population in generation 14*6^n - 84 (n>=2) is only 562. (Even more specifically, the population in generation t = 28*6^n + 12 (n>=1), is 3t/20 + 555 and it drops to t/5 + 599 in the next generation.) This uses a spark from a period 4, speed c/4 orthogonal spaceship, found by Tim Coe, to turn one LWSS into a loaf, which is then pulled back by subsequent pairs of LWSSs. When the loaf is pulled all the way back, it gets deleted and the cycle begins again. Dean Hickerson, dean@ucdmath.ucdavis.edu 8/14/92 Tim Coe, coe@vitsemi.com 8/11/95

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