Amiga Plus Extra 1997 #4/Amiga Plus Extra 1997 #4.iso/pd/grafik/video easel/xlife/sawtooth4.life

Text File | 1997-06-09 | 4.1 KB | 311 lines

#N Orthogonal sawtooth with expansion factor 11
#O Dean Hickerson, [e-mail]  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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