#Life 1.05 #D Diagonal 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 generation t = 8*6^n - 216 (n >= 2) is t/36 + 558, #D but the population in generation 32*6^n - 429 (n >= 2) is only 469. #D Dean Hickerson, dean@ucdmath.ucdavis.edu 5/14/91 #N #P -30 -35 ..*** .*...* *....* *..*.* **.*.* ..**.*..* ....**..* .....*** #P -40 -29 ..*** .*..* *....* *..*** *.....* .******* .......* .......* .....** #P -56 -9 ..*** .*...* *....* *..*.* **.*.* ..**.*..* ....**..* .....*** #P -18 -33 ..**...*** .**** *...** .**.*.* . .........* ......*..* .......*** #P -32 -17 ***.* ***.* .*........** ..*...***.** ...*......* ....*.*.*.* .....* #P 2 -10 ...* ..*.* .**.** .**.** *** ***...* .** .*.* #P -13 5 ....** ..****** .****** *......* .*** ..** .....* #P -24 16 ...* ..*.* .**.** .**.** *** ***...* .** .*.* #P -48 10 ** * #P -40 18 ** * #P -32 26 ** * #P -2 -28 ** * #P 6 -20 ** * #P 14 -12 ** * #P -3 11 ....* **..**.*** *.....**** ....** #P -8 16 ...* .*** * ** #P -13 26 **...** . *.....* . .**.** ...* #P -11 34 ...* ..*.* .*...* .***** **...** .***** ..*** ...* #P -8 50 ** * #P -4 27 *** ..* .* #P 2 32 *** * .* #P 10 19 ...* .*** * ** #P 5 28 **...** .***** ..*** ...* #P 3 40 ..*** . ..*.* .***** **...** **...** #P 5 53 ** * #P 15 22 * *** ...* ..** #P 17 31 **...** *.....* . .*...* ..*** #P 19 42 ...* .**.** . *.....* . **...** #P 22 56 ** * #P 35 31 .***** *.***.* .*...* ..*** ...* .** *.* *.* .* #P 33 42 **.*.** *.....* .*...* ..*** #P 35 53 ** * #P 22 21 .* ** *.* #P 24 16 .*..* *...**..** *.......* .**** #P 37 19 ** * #P 21 -11 ...* .*** * ** #P 16 -2 **...** *.*.*.* .***** ..*** ...* #P 21 8 ** * .*** ...*