Amiga Plus Extra 1997 #4/Amiga Plus Extra 1997 #4.iso/pd/grafik/video easel/xlife/sawtooth5.life

Text File | 1997-06-09 | 9.5 KB | 838 lines

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