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1769 | yogev_ezra | 1 | #Life 1.05 |
2 | #D Venetian blinds |
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3 | #D This is a finite version of the infinite p2 oscillator in which |
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4 | #D rows alternate full, full, empty, empty, full, full, ... Two types |
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5 | #D of edges are shown, one perpendicular to the rows and one at a 45 |
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6 | #D degree angle. (It's easy to prove that there's no p2 edge parallel |
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7 | #D to the rows.) Also shown are 3 type of corners where the edges |
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8 | #D meet. This partly answers a question of John Conway's: What's the |
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9 | #D maximum average density of an infinite p2 pattern, and can it be |
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10 | #D obtained as a limit of finite p2 patterns? This shows that 1/2 is |
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11 | #D a lower bound. Hartmut Holzwart showed that 8/13 is an upper bound. |
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12 | #D Dean Hickerson, dean@ucdmath.ucdavis.edu 9/13/92 |
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13 | #N |
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14 | #P -31 -36 |
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15 | ..................*.**.**......*......**.**.* |
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16 | ..................**.*.*...**.*.*.**...*.*.** |
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17 | .....................*...*..*.*.*.*..*...* |
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18 | .....................*..***...*.*...***..* |
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19 | ....................**.*.....*.*.*.....*.** |
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20 | .......................*..**.*...*.**..* |
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21 | ....................**..***..**.**..***..** |
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22 | ................**.*.**...**.*****.**...**.*.** |
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23 | **.**...**......**.**....*...........*....**.** |
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24 | .*.*...*.*.........*..**.*.*.......*.*.**..* |
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25 | .*..*..*........**..***..**.*******.**..***..** |
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26 | ..*.*.*..*..**.*.**...**.*************.**...**.*.** |
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27 | ...*.**.**..**.**....*...................*....**.** |
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28 | .....**........*..**.*.*...............*.*.**..* |
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29 | ....*.......**..***..**.***************.**..***..** |
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30 | ..***.*.**.*.**...**.*********************.**...**.*.** |
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31 | .*...***.*.**....*...........................*....**.** |
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32 | .***...*...*..**.*.*.......................*.*.**..* |
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33 | ....**...*..***..**.***********************.**..***..** |
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34 | ...*..*.***...**.*****************************.**...**.*.**..** |
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35 | ...*.**.*....*...................................*....**.**...*..* |
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36 | ....**.**.**.*.*...............................*.*.**..*......*.*.* |
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37 | .........**..**.*******************************.**..***..**..**.*..* |
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38 | ....**..*.**.*************************************.**...**.*....**.* |
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39 | ....*..*.*...........................................*....**.**...**.** |
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40 | ......**.*.*.......................................*.*.**..*.*.**...*.* |
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41 | ..........*.***************************************.**..***..*.*.**.* |
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42 | .........**.******************************************.**...****..*.* |
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43 | ....*.**.*.*.............................................*.......*..** |
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44 | ....**.*.*.............................................*.*.**....*.*..* |
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45 | ...........********************************************.**..*****..*.* |
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46 | .........*...*********************************************.***..***.* |
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47 | .............................................................*..*.* |
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48 | ........*.*.*..............................................*.*..*.*.* |
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49 | ....**.*...*.**********************************************.**.*...** |
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50 | ....*.**.*.*************************************************** |
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51 | ........*.* |
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52 | #P -31 1 |
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53 | ........*.* |
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54 | ....*.**.*.*************************************************** |
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55 | ....**.*...*.**********************************************.**.*...** |
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56 | ........*.*.*..............................................*.*..*.*.* |
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57 | .............................................................*..*.* |
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58 | .........*...*********************************************.***..***.* |
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59 | ...........********************************************.**..*****..*.* |
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60 | ....**.*.*.............................................*.*.**....*.*..* |
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61 | ....*.**.*.*.............................................*.......*..** |
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62 | .........**.******************************************.**...****..*.* |
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63 | ..........*.***************************************.**..***..*.*.**.* |
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64 | ......**.*.*.......................................*.*.**..*.*.**...*.* |
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65 | ....*..*.*...........................................*....**.**...**.** |
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66 | ....**..*.**.*************************************.**...**.*....**.* |
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67 | .........**..**.*******************************.**..***..**..**.*..* |
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68 | ....**.**.**.*.*...............................*.*.**..*......*.*.* |
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69 | ...*.**.*....*...................................*....**.**...*..* |
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70 | ...*..*.***...**.*****************************.**...**.*.**..** |
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71 | ....**...*..***..**.***********************.**..***..** |
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72 | .***...*...*..**.*.*.......................*.*.**..* |
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73 | .*...***.*.**....*...........................*....**.** |
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74 | ..***.*.**.*.**...**.*********************.**...**.*.** |
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75 | ....*.......**..***..**.***************.**..***..** |
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76 | .....**........*..**.*.*...............*.*.**..* |
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77 | ...*.**.**..**.**....*...................*....**.** |
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78 | ..*.*.*..*..**.*.**...**.*************.**...**.*.** |
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79 | .*..*..*........**..***..**.*******.**..***..** |
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80 | .*.*...*.*.........*..**.*.*.......*.*.**..* |
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81 | **.**...**......**.**....*...........*....**.** |
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82 | ................**.*.**...**.*****.**...**.*.** |
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83 | ....................**..***..**.**..***..** |
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84 | .......................*..**.*...*.**..* |
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85 | ....................**.*.....*.*.*.....*.** |
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86 | .....................*..***...*.*...***..* |
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87 | .....................*...*..*.*.*.*..*...* |
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88 | ..................**.*.*...**.*.*.**...*.*.** |
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89 | ..................*.**.**......*......**.**.* |