936 lines
7.2 KiB
Plaintext
936 lines
7.2 KiB
Plaintext
#Life 1.05
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#D Orthogonal sawtooth with expansion factor 25
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#D Population is unbounded but does not tend to infinity. Its graph is a
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#D sawtooth function with ever-increasing teeth. More specifically, the
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#D population in generations t near 30 * 25^n is about 59t/225 if t is odd,
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#D about 7t/10 if t is even but not == 46 (mod 60), and about 211t/900 if
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#D t == 46 (mod 60); the population in generation 6 * 25^n - 1125 (n>=2) is
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#D only 1846. (Even more specifically, the population in generation
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#D t = 30 * 25^n - 525 (n>=1), is 59t/225 + 1951.)
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#D
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#D A shotgun produces a salvo of 4 eastward lightweight spaceships every 120
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#D generations. Some are deleted; the others eventually catch up to a pair of
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#D c/3 spaceships and reflect off the backs of them, forming westward
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#D middleweight spaceships. When a MWSS returns to the shotgun, it causes the
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#D deletion of 5 salvos. (Notice the unusual eatering of a pi heptomino, by 2
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#D blocks, that's used in this deletion.) So the region between the shotgun and
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#D the c/3s alternately becomes full and empty of spaceships.
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#D
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#D The c/3 spaceships were found by David Bell, who suggested this way of making
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#D a sawtooth.
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#D
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#D Dean Hickerson, dean@ucdmath.ucdavis.edu 8/26/92
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#N
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#P 178 -48
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