#Life 1.05 #D Sqrtgun 3.0 #D Population in generation t is asymptotic to 5 sqrt(t/12). A 4 glider #D salvo pushes a blinker 3 units southeast and sends back a glider, #D which causes another salvo to be fired and a glider to be sent #D northeast. The round trip time, and hence the gap between #D northeastward gliders, increases by an average of 24 generations each #D time. More specifically, let a[0]=207, a[1]=159, a[2]=-33, a[3]=111, #D and a[4]=231. For n>=0, a glider is sent northeast (by reflection from #D a buckaroo) in generation 12 n^2 + 1116 n + a[n mod 5] (at which #D time, for n>=1, the population is 5n + 1297) and escapes about 300 #D generations later. #D Dean Hickerson, dean@ucdmath.ucdavis.edu 1/28/91 #N #P 55 60 *** #P 39 59 .* * *** #P 71 34 ....** ****....** ***.**..* .....* #P 84 34 ** * .*** ...* #P 79 26 ...* ..*** .***** **...** .***** .*...* ...* #P 77 11 **...** *.....* . .*...* ..*** #P 79 2 ** * #P 69 29 .* * *** #P 59 31 ..** ...* *** * #P 61 22 **...** **...** .***** ..*.* . ..*** #P 63 4 ...* ..*.* .*...* ..*** **...** #P 66 -1 ** * #P 48 35 ....* **..**.*** *.....**** ....** #P 55 30 ** * #P 52 21 **...** . .*...* ..*** ..*** #P 54 3 ...* ..*** ..*** . **...** *.....* #P 56 -9 ** * . . . ** * #P 46 -12 ..** .* * * * .* ..** #P 28 -14 ....* ..*.* ** ** ** ..*.* ....* #P 22 -9 ..** .*.* .* ** #P 35 -2 .* *.* .* #P 29 -1 * *.* ** #P 46 -48 ** * #P 36 -51 *.* *...* ....* .....* ....* *...* *.* #P 20 -53 ...** .*..* * * * .*..* ...** #P 6 -56 ** ..* ...* ...* ...* ..* ** #P -9 -54 ....** ....* .** *** .** ....* ....** #P -16 -51 ** * #P -11 -45 .**.........** *..*.......*..* ***..*****..*** ...**.....** ..*.........* ..**.*...*.** .......* #P 32 -34 ..** ..* *.* ** #P 24 -32 * **** .**** .*..* .**** **** * #P 8 -30 ...** ..*.* .*** *** .*** ..*.* ...** #P 0 -28 ** * #P 11 -34 ** * #P -15 -31 ......*.* .....* .*..*....* **.*..*.** ....** #P 7 -9 ...* .*** * ** #P 39 23 *** ..* .* #P -23 -44 ** * #P -25 -55 **...** **...** .***** ..*.* . ..*** #P -27 -73 ...* ..*.* .*...* ..*** **...** #P -25 -78 ** * #P -42 -85 ** * #P -45 -76 **...** *.....* . .*...* ..*** #P -47 -61 ...* ..*** .***** **...** .***** .*...* ...* #P -42 -53 ** * .*** ...* #P -33 -53 .* * *** #P -53 -78 ..** ..* *.* ** #P -62 -76 ..** .*.* * *..* * .*.* ..** #P -76 -74 *.* *..* ...** .*...** ...** *..* *.* #P -85 -71 ** * #P -53 -71 .** .*..* . .*..* *..* *.* .* . .** .* #P -88 -58 ** * #P -83 -60 ...* .**** ..*.** *.*.*** ..*.** .**** ...* #P -64 -58 *.* *...* ....* .....* ....* *...* *.* #P -56 -53 ** *.* ..* ..** #P -65 -47 ** * #P -67 -35 **...** ..*** .*...* ..*.* ...* #P -69 -26 ..*** . ..*.* .***** **...** **...** #P -67 -13 ** * #P -51 -43 * *** ...* ..** #P -49 -35 ...* ..*** ..*** . **...** *.....* #P -51 -24 ..** ...* *** * #P -42 -18 .** .* . . .* **.* ...* ...* *..* .** #P -43 -5 ** * #P -54 -11 ** * #P -55 -7 ...** .*..* * * * .*..* ...** #P -67 -9 *.* *...* ....* .....* ....* *...* *.* #P -77 -7 ** * #P -37 3 ** * #P -51 1 ....* ..*.* ** ** ** ..*.* ....* #P -61 3 ..** .*...* *.....* *...*.** *.....* .*...* ..** #P -71 6 ** * #P -60 13 ** * #P -35 10 .** *..* ...* ...* **.* .* . . .** ..* #P -62 23 **...** .***** .**.** .**.** ..*** #P -60 32 ..*** ..*** .*...* *.....* .*...* ..*** #P -57 47 ** * #P -53 24 ** .** * #P -47 27 ** * #P -49 36 **...** *.....* . .*...* ..*** #P -51 46 ..** ...* *** * #P -48 60 ** * #P -43 58 ...* ..*.* .*.** **.** .*.** ..*.* ...* #P -29 63 ** *.* ..* ..** #P -29 37 ..** .*.* .* ** #P -16 32 * *.* .*.* .*..* .*.* *.* * #P -10 30 ..** ..* *.* ** #P -1 29 * *.* ** #P 16 30 .** .* . . *** ** ...** ..*** .*.* .** #P 1 46 ...* .*** * ** #P -4 52 ..*** ..*** .*...* . **...** #P 9 53 *** ..* .* #P 8 59 .* *.* .* #P -2 70 ..*** .*...* *.....* *.....* #P 1 80 ** * #P 17 80 ** * #P 26 78 *.* *..* ...** .*...** ...** *..* *.* #P 36 76 ...* ..*.* .*.** **.** .*.** ..*.* ...* #P 51 79 ** *