Subversion Repositories Kolibri OS

#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

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