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90 lines
4.9 KiB
Plaintext
90 lines
4.9 KiB
Plaintext
#Life 1.05
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#D Venetian blinds
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#D This is a finite version of the infinite p2 oscillator in which
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#D rows alternate full, full, empty, empty, full, full, ... Two types
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#D of edges are shown, one perpendicular to the rows and one at a 45
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#D degree angle. (It's easy to prove that there's no p2 edge parallel
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#D to the rows.) Also shown are 3 type of corners where the edges
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#D meet. This partly answers a question of John Conway's: What's the
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#D maximum average density of an infinite p2 pattern, and can it be
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#D obtained as a limit of finite p2 patterns? This shows that 1/2 is
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#D a lower bound. Hartmut Holzwart showed that 8/13 is an upper bound.
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#D Dean Hickerson, dean@ucdmath.ucdavis.edu 9/13/92
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#N
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#P -31 -36
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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 -31 1
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........*.*
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..................*.**.**......*......**.**.*
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