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