EuroCD 3/EuroCD 3.iso/Graphics_Utils/Video Easel/XLife/hacksaw.life

Text File | 1998-06-24 | 4.4 KB | 480 lines

#N Hacksaw (orthogonal sawtooth with expansion factor 9)
#O Dean Hickerson, [e-mail]  7/8/92
#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 = 385*9^n - 189 (n>=1), is t/4 + 1079,
#C but the population in generation 1155*9^n - 179 (n>=0)
#C is only 977.
#C
#C The pattern consists of two parts, a stationary
#C shotgun and a set of puffers moving east.  The shotgun
#C produces, and usually destroys, a salvo consisting of
#C a MWSS and 2 LWSSs.  The moving part consists of a
#C period 8 blinker puffer (found by Bob Wainwright), and
#C two p24 glider puffers, whose output gliders destroy
#C each other (with help from an accompanying MWSS).  In
#C generation 385*9^n - 189 (n>=1) (and 228 for n=0), a
#C salvo hits the back end of the row of blinkers,
#C causing it to decay at 2c/3.  When the row is
#C completely gone, a new row starts to form and a spark
#C is produced.  The spark is turned into a glider by an
#C accompanying HWSS; the glider is turned into a
#C westward LWSS, in generation 1155*9^n - 127 (n>=0), by
#C interaction with the glider puffers.  (This 3 glider
#C synthesis of a LWSS is due to David Buckingham.) When
#C the LWSS hits the shotgun, in generation 2310*9^n - 184
#C (n>=0), another salvo is released, starting the cycle
#C again.
#C
#C The idea for this sawtooth pattern was suggested by
#C Bill Gosper.
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