#Life 1.05 #D Orthogonal sawtooth with expansion factor 6 #D Population is unbounded but does not tend to infinity. Its graph is #D a sawtooth function with ever-increasing teeth. More specifically, #D the population in generations t near 28*6^n is about t/5 if #D t is odd and about 3t/20 if t is even, but the population in #D generation 14*6^n - 84 (n>=2) is only 562. (Even more #D specifically, the population in generation t = 28*6^n + 12 (n>=1), #D is 3t/20 + 555 and it drops to t/5 + 599 in the next generation.) #D #D This uses a spark from a period 4, speed c/4 orthogonal spaceship, #D found by Tim Coe, to turn one LWSS into a loaf, which is then pulled #D back by subsequent pairs of LWSSs. When the loaf is pulled all the #D way back, it gets deleted and the cycle begins again. #D #D Dean Hickerson, dean@ucdmath.ucdavis.edu 8/14/92 #D Tim Coe, coe@vitsemi.com 8/11/95 #N #P 3 -5 ..*.* **...** ....*.* ....* .......* ..*...** .* **.** **.* .*.** .* ..*..* .**..* ...** . . ....*** .*.* ..*.*..* ....*...* .......* .....** ...*** ...*** #P 55 -29 .* ** #P 41 -32 ....*.* ...*..* ..** **...* ..** ...*..* ....*.* #P 30 -34 ** *.* ...* *..* ...* *.* ** #P 12 -37 ....* ..*.* .*.* *..* .*.* ..*.* ....* #P 8 -35 ** * #P 2 -35 ...* ..** .** *** .** ..** ...* #P -7 -37 ** .* .*.* ..** #P -2 -27 ** *.* ..* ..** #P -14 -32 ....* ..*.* ** ** ** ..*.* ....* #P -18 -28 * ** .* #P -24 -30 ..** .* * * * .* ..** #P -34 -27 * ** #P -5 -9 ** *.* ..* ..** #P -14 -14 ..** .*.* * *..* * .*.* ..** #P -28 -16 *.* *..* ...** .*...** ...** *..* *.* #P -37 -14 ** * #P -23 -6 ** .* #P -32 -8 * *.* ...** ...** ...** *.* * #P -49 -6 ** ..* ...* ...* ...* ..* ** #P -57 -8 ** .* .*.* ..** #P -54 1 ** * #P -57 10 **.*.** *.....* .*...* ..*** #P -55 21 ...* ...* ..*.* .**.** *.....* ...* **...** #P -52 35 .* ** #P -50 13 .* .** *.* #P -41 23 ..** .*.* .* ** #P -35 18 ....*.* ...*..* ..** **...* ..** ...*..* ....*.* #P -30 27 ** * #P -21 25 ...* ..** .** *** .** ..** ...* #P -14 27 ** ** ** #P -11 27 ....* ..*.* .*.* *..* .*.* ..*.* ....* #P 5 30 ....** ....* .** *** .** ....* ....** #P 23 28 * *.* ...** ...** ...** *.* * #P 32 30 ** .* #P -26 17 .* ** *.* #P -15 16 .* *.* **.* **.** **.* *.* .* #P -9 14 ..** ..* *.* ** #P -3 8 ..** .*.* .* ** #P -25 8 ..**..***..** ..*..*****..* ...********* ***.........*** *..*.......*..* .**.........**