kolibrios/programs/demos/life2/lif/SAWTOOT4.lif

#Life 1.05
#D Orthogonal sawtooth with expansion factor 11
#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 generation t = 36*11^n - 37 (n>=1), is 7(t+1)/30 + 746, but the
#D population in generation 12*11^n - 51 (n>=1) is only 635 if n is even, 633 if
#D n is odd.  This uses a spark from a period 9, speed c/3 orthogonal spaceship,
#D found by David Bell, to turn a LWSS into a loaf, which is then pulled back by
#D pairs of LWSSs.  When the loaf is pulled all the way back, it gets deleted and
#D the cycle begins again.  (The deletion is caused by interaction with a LWSS
#D and with 3 gliders which would otherwise form a LWSS.)
#D 
#D Try putting something in the path of the c/3, far away from the guns.  When
#D the beam of LWSSs hits the resulting garbage, it is likely that a loaf will
#D eventually be formed and pulled back.  No matter where the loaf starts, when
#D it reaches the guns it will be deleted by one of 3 different reactions.  (The
#D block behind the c/3 is used for one of these; it's not needed for the
#D sawtooth pattern itself.) The beam of LWSSs will again be released and may
#D eventually form another loaf.  The process may be repeated many times until
#D either the LWSS beam burns through the garbage or the reaction moves upstream
#D and consumes the guns.
#D 
#D Dean Hickerson, dean@ucdmath.ucdavis.edu  5/15/92
#N
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