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#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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