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  1. #Life 1.05
  2. #D Orthogonal sawtooth with expansion factor 25
  3. #D Population is unbounded but does not tend to infinity.  Its graph is a
  4. #D sawtooth function with ever-increasing teeth.  More specifically, the
  5. #D population in generations t near 30 * 25^n is about 59t/225 if t is odd,
  6. #D about 7t/10 if t is even but not == 46 (mod 60), and about 211t/900 if
  7. #D t == 46 (mod 60); the population in generation 6 * 25^n - 1125 (n>=2) is
  8. #D only 1846.  (Even more specifically, the population in generation
  9. #D t = 30 * 25^n - 525 (n>=1), is 59t/225 + 1951.)
  10. #D
  11. #D A shotgun produces a salvo of 4 eastward lightweight spaceships every 120
  12. #D generations.  Some are deleted; the others eventually catch up to a pair of
  13. #D c/3 spaceships and reflect off the backs of them, forming westward
  14. #D middleweight spaceships.  When a MWSS returns to the shotgun, it causes the
  15. #D deletion of 5 salvos.  (Notice the unusual eatering of a pi heptomino, by 2
  16. #D blocks, that's used in this deletion.) So the region between the shotgun and
  17. #D the c/3s alternately becomes full and empty of spaceships.
  18. #D
  19. #D The c/3 spaceships were found by David Bell, who suggested this way of making
  20. #D a sawtooth.
  21. #D
  22. #D Dean Hickerson, dean@ucdmath.ucdavis.edu  8/26/92
  23. #N
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