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EnigmA Amiga Run 1998 July
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EnigmA AMIGA RUN 29 (1998)(G.R. Edizioni)(IT)[!][issue 1998-07 & 08].iso
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sawtooth4.life
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1996-10-03
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#N Orthogonal sawtooth with expansion factor 11
#O Dean Hickerson, drhickerson@ucdavis.edu 5/15/92
#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 generation t = 36*11^n - 37 (n>=1), is
#C 7(t+1)/30 + 746, but the population in generation
#C 12*11^n - 51 (n>=1) is only 635 if n is even, 633 if n
#C is odd. This uses a spark from a period 9, speed c/3
#C orthogonal spaceship, found by David Bell, to turn a
#C LWSS into a loaf, which is then pulled back by pairs
#C of LWSSs. When the loaf is pulled all the way back,
#C it gets deleted and the cycle begins again. (The
#C deletion is caused by interaction with a LWSS and with
#C 3 gliders which would otherwise form a LWSS.)
#C
#C Try putting something in the path of the c/3, far away
#C from the guns. When the beam of LWSSs hits the
#C resulting garbage, it is likely that a loaf will
#C eventually be formed and pulled back. No matter where
#C the loaf starts, when it reaches the guns it will be
#C deleted by one of 3 different reactions. (The block
#C behind the c/3 is used for one of these; it's not
#C needed for the sawtooth pattern itself.) The beam of
#C LWSSs will again be released and may eventually form
#C another loaf. The process may be repeated many times
#C until either the LWSS beam burns through the garbage
#C or the reaction moves upstream and consumes the guns.
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