Shareware Overload Trio 2/Shareware Overload Trio Volume 2 (Chestnut CD-ROM).ISO/dir44/lifepnew.zip/SAWTOOT5.LIF

Text File | 1994-04-04 | 11KB | 835 lines

#Life 1.05
#D Orthogonal sawtooth with expansion factor 25 Population is unbounded but does
#D not tend to infinity.  Its graph is a sawtooth function with ever-increasing
#D teeth.  More specifically, the population in generations t near 30 * 25^n is
#D about 59t/225 if t is odd, about 7t/10 if t is even but not == 46 (mod 60),
#D and about 211t/900 if t == 46 (mod 60); the population in generation 6 * 25^n
#D - 1125 (n>=2) is only 1846.  (Even more specifically, the population in
#D generation 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, [e-mail]  8/26/92
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