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63 lines
1.7 KiB
Plaintext
63 lines
1.7 KiB
Plaintext
#Life 1.05
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#D MAX, the smallest known example of a "spacefiller"
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#D
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#D This is the fastest-growing known pattern in Conway's Game of Life
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#D (possibly the fastest possible). It fills space to a density of 1/2,
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#D conjectured to be the maximum density, and does it at a speed of c/2
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#D in each of the 4 directions, which has been proven to be the maximum
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#D possible speed.
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#D
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#D Population is [(t+19)^2+463]/4 for t divisible by 4;
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#D . [(t+19)^2+487]/4 for t even, not div. by 4;
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#D . [(t+18)^2+639]/4 for t odd.
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#D
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#D Original construction, top/bottom stretchers by Hartmut Holzwart;
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#D Size optimization, left/right stretchers by David Bell;
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#D Original idea, middle part, l/r stretcher connection by Al Hensel.
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#D This spacefiller by David Bell, September 1993.
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#N
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#P -14 -21
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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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...........*.......*
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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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.........................*..*
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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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