305 lines
3.6 KiB
Plaintext
305 lines
3.6 KiB
Plaintext
#Life 1.05
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#D Orthogonal sawtooth with expansion factor 11
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#D Population is unbounded but does not tend to infinity. Its graph is a
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#D sawtooth function with ever-increasing teeth. More specifically, the
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#D population in generation t = 36*11^n - 37 (n>=1), is 7(t+1)/30 + 746, but the
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#D population in generation 12*11^n - 51 (n>=1) is only 635 if n is even, 633 if
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#D n is odd. This uses a spark from a period 9, speed c/3 orthogonal spaceship,
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#D found by David Bell, to turn a LWSS into a loaf, which is then pulled back by
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#D pairs of LWSSs. When the loaf is pulled all the way back, it gets deleted and
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#D the cycle begins again. (The deletion is caused by interaction with a LWSS
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#D and with 3 gliders which would otherwise form a LWSS.)
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#D
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#D Try putting something in the path of the c/3, far away from the guns. When
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#D the beam of LWSSs hits the resulting garbage, it is likely that a loaf will
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#D eventually be formed and pulled back. No matter where the loaf starts, when
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#D it reaches the guns it will be deleted by one of 3 different reactions. (The
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#D block behind the c/3 is used for one of these; it's not needed for the
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#D sawtooth pattern itself.) The beam of LWSSs will again be released and may
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#D eventually form another loaf. The process may be repeated many times until
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#D either the LWSS beam burns through the garbage or the reaction moves upstream
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#D and consumes the guns.
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#D
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#D Dean Hickerson, dean@ucdmath.ucdavis.edu 5/15/92
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#N
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#P 20 5
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**
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.*
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.*.*
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..**
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#P 21 -11
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...............*...**
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..............*....***
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................***...*
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.*.........*...*.**.*.**
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.**........***......*.*
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..*.**.*.**..*....*..***
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..*...***...*........*.**.*
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..*.....**..*....******....**
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*.*....**..................**
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..*.....**..*....******....**
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..*...***...*........*.**.*
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..*.**.*.**..*....*..***
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.**........***......*.*
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.*.........*...*.**.*.**
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................***...*
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..............*....***
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...............*...**
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#P 29 7
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*.*
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#P 39 9
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#P 54 12
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#P 31 16
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#P 26 19
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#P 51 25
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#P 40 23
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#P 27 25
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#P 17 27
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#P 41 -24
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#P 31 -27
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#P 15 -29
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#P 23 -25
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#P -1 -26
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#P -5 -22
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#P -11 -24
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#P -21 -19
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#P 2 -17
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#P 18 -10
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#P 13 -2
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#P 3 -5
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#P -27 -5
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#P -25 -18
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#P 4 -30
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#P -7 -33
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#P -20 -35
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#P -30 -32
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#P -48 -32
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#P -51 -27
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#P -53 -8
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#P -48 0
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#P -47 -14
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#P -57 -2
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#P -55 6
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#P -53 22
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#P -50 32
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#P -44 -5
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#P -43 7
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#P -23 -13
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.**.........**
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*..*.......*..*
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***.........***
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...*********
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..*..*****..*
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..**..***..**
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#P -31 9
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#P -23 6
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#P -12 4
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#P 1 2
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#P -3 14
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#P -28 22
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#P -23 20
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#P -5 22
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#P 6 24
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.*
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