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1769 | yogev_ezra | 1 | #Life 1.05 |
2 | #D MAX, the smallest known example of a "spacefiller" |
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3 | #D |
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4 | #D This is the fastest-growing known pattern in Conway's Game of Life |
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5 | #D (possibly the fastest possible). It fills space to a density of 1/2, |
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6 | #D conjectured to be the maximum density, and does it at a speed of c/2 |
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7 | #D in each of the 4 directions, which has been proven to be the maximum |
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8 | #D possible speed. |
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9 | #D |
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10 | #D Population is [(t+19)^2+463]/4 for t divisible by 4; |
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11 | #D . [(t+19)^2+487]/4 for t even, not div. by 4; |
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12 | #D . [(t+18)^2+639]/4 for t odd. |
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13 | #D |
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14 | #D Original construction, top/bottom stretchers by Hartmut Holzwart; |
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15 | #D Size optimization, left/right stretchers by David Bell; |
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16 | #D Original idea, middle part, l/r stretcher connection by Al Hensel. |
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17 | #D This spacefiller by David Bell, September 1993. |
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18 | #N |
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19 | #P -14 -21 |
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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 | ...........*...*.....*...* |
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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 | .....................*.* |