Orthogonal sawtooth with expansion factor 21
Population is unbounded but does not tend to infinity. Its graph is
a sawtooth function with ever-increasing teeth. More specifically,
the population in generation t = 18*21^n + 222 (n>=0), is
7t/60 + 1290, but the population in generation 6*21^n + 193 (n>=1)
is only 1212.
This uses a spark from a c/3 orthogonal spaceship ("turtle") to turn
a HWSS into a loaf, which is then pulled back by pairs of LWSSs. When
the loaf is pulled all the way back, another HWSS is fired toward the
c/3, starting the cycle again. The HWSS synthesis, using 2 gliders,
a Kok's galaxy, and a figure 8, is due to David Buckingham.
This was the first sawtooth built.
Dean Hickerson, dean@ucdmath.ucdavis.edu 4/10/91
Xref:
sawtooth
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