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life entropy value and golden ratiio
2014-08-29
++ life entropy value and golden ratiio So what types of distributions would have the most useable information content or be the best for life? I was thinking maybe something where there are the greatest number of groups with different values belonging to them. For 10 items some possible ways of splitting up the groups could be 10 (like the lowest entropy distribution where all 10 items have the same value) 5 5 2 3 3 2 7 2 1 2 3 5 6 4 6 2 2 So here the distributions that have the most groups with different values are 7 2 1 example: 3,3,3,3,3,3,3,8,8,5 and 2 3 5 example: 3,3,8,8,8,5,5,5,5,5 I wonder if there is any significance between the ratio of the entropy of this type of distribution compared to the maximum entropy for this given number of items. I actually did compare this ratio from the 7 2 1 example and got something near 1/(golden ratio) (around 0.62). Cool! hahaha This might be stretching it a bit. Maybe I should look more at this later.
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