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  1. #Life 1.05
  2. #D Orthogonal sawtooth with expansion factor 21
  3. #D Population is unbounded but does not tend to infinity.  Its graph is
  4. #D a sawtooth function with ever-increasing teeth.  More specifically,
  5. #D the population in generation  t = 18*21^n + 222  (n>=0),  is
  6. #D 7t/60 + 1290,  but the population in generation  6*21^n + 193  (n>=1)
  7. #D is only  1212.
  8. #D This uses a spark from a c/3 orthogonal spaceship ("turtle") to turn
  9. #D a HWSS into a loaf, which is then pulled back by pairs of LWSSs.  When
  10. #D the loaf is pulled all the way back, another HWSS is fired toward the
  11. #D c/3, starting the cycle again.  The HWSS synthesis, using 2 gliders,
  12. #D a Kok's galaxy, and a figure 8, is due to David Buckingham.
  13. #D This was the first sawtooth built.
  14. #D Dean Hickerson, dean@ucdmath.ucdavis.edu  4/10/91
  15. #N
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