#Life 1.05 #D Sqrtgun 10.1 #D Population in generation t is asymptotic to sqrt(5t/8). #D A 3 glider salvo pushes a block 10 units southeast and sends back #D 2 gliders, which cause another salvo to be fired and a glider to #D be sent southwest. The round trip time, and hence the gap between #D southwestward gliders, increases by an average of 80 generations each #D time. More specifically, let a[0]=a[2]=199 and a[1]=-1. Then, for #D n>=0, a glider is sent southwest (by reflection from a buckaroo) in #D generation 40 n^2 + 1120 n + a[n mod 3] (at which time the population #D is 5n + 1115) and escapes about 270 generations later. #D Dean Hickerson, dean@ucdmath.ucdavis.edu 2/14/91 #N #P 50 56 ** * #P 75 56 ** * .*** ...* #P 70 42 ...* ..*.* .*...* .***** **...** .***** ..*** ...* #P 72 34 **...** . *.....* . .**.** ...* #P 69 20 ..*** .*...* *.....* *.....* #P 67 5 *.....* **...** . ..*** ..*** ...* #P 69 -4 ** * #P 68 36 ** * #P 54 35 .....*..* **..**...* *........* .....**** #P 59 24 *.* ** .* #P 45 29 ..** ...* *** * #P 47 16 ...* ..*.* .*...* ..*** **...** #P 49 6 **...** **...** .***** ..*.* . ..*** #P 51 -3 ** * #P 45 8 .* ** *.* #P 44 -21 ** * #P 34 -23 ...* ..**** .**.* ***.*.* .**.* ..**** ...* #P 16 -25 ...*.* .*...* .* * .* .*...* ...*.* #P 10 -22 ** * #P 22 -16 ** * #P 38 -35 ** * #P 28 -37 *.* *...* ....* .....* ....* *...* *.* #P 12 -35 ...** .*..* * * * .*..* ...** #P 2 -30 ....** ...*.* ...* .*** * ** #P -3 -19 ..*** .*...* . *.....* **...** #P 2 -9 ** * .*** ...* #P 9 -5 ..* ** .** #P 20 -35 ** *.* * #P 0 -40 ....** **..**..** *...*..*.* ......*** ......** #P 28 -55 ** * #P 16 -58 ...** .*..* * * * .*..* ...** #P -1 -60 ...* .**** ..*.** *.*.*** ..*.** .**** ...* #P -6 -57 ** * #P 7 -73 ** * #P -3 -76 ...* ..**** .**.* ***.*.* .**.* ..**** ...* #P -21 -78 ...*.* .*...* .* * .* .*...* ...*.* #P -26 -76 ** * #P -33 -81 ...** ..*.* .*** *** .*** ..*.* ...** #P -45 -79 * **** .**** .*..* .**** **** * #P -55 -76 ** * #P -32 -72 ** * #P -34 -66 ..* .** . .* *.* *..* .*..* . .* .** #P -41 -66 ..** ..* *.* ** #P -53 -64 ...*.* .*...* .* * .* .*...* ...*.* #P -63 -62 ...* ..**** .**.*.* ***.*..* .**.*.* ..**** ...* #P -73 -59 ** * #P -68 -54 ** * #P -56 -55 ** * #P -51 -55 ..* *.* .** #P -41 -59 .** .** .** ..* .*.* **.* #P -40 -51 ** * #P -35 -50 *.* ** .* #P -26 -51 ** .* .*.* ..** #P -16 -49 ** *** ..**.* ..*..* ..**.* *** ** #P -5 -47 ** * #P -26 -33 ** * #P -70 -45 **...** .***** ..*** ...* #P -74 -41 ** * #P -77 -29 .***** *.***.* .*...* ..*** ...* #P -79 -21 ...* ...* ..*.* .**.** *.....* ...* **...** #P -77 -7 ** * #P -71 -19 ..* *.* .** #P -66 -33 *** #P -68 -31 ..*.* .***** **...** **...** #P -63 -22 ** * .*** ...* #P -54 -40 * *** ...* ..** #P -52 -30 ..*** .*...* *.....* **.*.** #P -50 -19 ** * #P -51 -12 .** *.* ..* #P -45 -11 .** .* . . **.* .*.* ..* .** .** .** #P -39 -16 * *** ...* ..** #P -37 -10 ..*** ..*** .*...* *.....* .*...* ..*** #P -39 3 ..** ...* *** * #P -46 2 ** * #P -60 0 ....*.* ...*..* ..** **...* ..** ...*..* ....*.* #P -68 -2 .* *.* **.* **.** **.* *.* .* #P -80 0 ** * #P -74 9 ** * #P -76 18 **...** *.*.*.* .***** ..*** ...* #P -78 28 ..** ...* *** * #P -67 12 ** .* .*.* ..** #P -58 14 ...** .*..* * * * .*..* ...** #P -48 12 ..** ..* *.* ** #P -33 30 ..** ..* *.* ** #P -45 32 ...*.* .*...* .* * .* .*...* ...*.* #P -52 37 ..** .*.* .* ** #P -64 54 ** * #P -53 51 * *.* ...** ...** ...** *.* * #P -45 56 ** *.* ..* ..** #P -52 47 *** * .* #P -21 25 ..* ** .** #P 23 29 ** .** * #P 29 54 *.* ** .* #P -7 40 ** * #P -9 51 ..*** .*...* *.....* .*...* ..*** ..*** #P -11 59 ..** ...* *** * #P -2 60 ** *.* * #P -7 75 ** * #P 4 72 * *.* ...** ...** ...** *.* * #P 12 77 ** *.* ..* ..**