Sqrtgun 10.1
Population in generation t is asymptotic to sqrt(5t/8).
A 3 glider salvo pushes a block 10 units southeast and sends back
2 gliders, which cause another salvo to be fired and a glider to
be sent southwest. The round trip time, and hence the gap between
southwestward gliders, increases by an average of 80 generations each
time. More specifically, let a[0]=a[2]=199 and a[1]=-1. Then, for
n>=0, a glider is sent southwest (by reflection from a buckaroo) in
generation 40 n^2 + 1120 n + a[n mod 3] (at which time the population
is 5n + 1115) and escapes about 270 generations later.
Dean Hickerson, dean@ucdmath.ucdavis.edu 2/14/91
Xref:
round
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