Fractals are typically not self-similar
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用越来越细的方格盖住海岸线,统计碰到它的格子数。对数坐标中的斜率估计尺度变化规律;有限数据上的拟合可能随观察范围改变。
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What this suggests is that if you were to plot the log of the scaling factor against the log of the number of boxes touching the coastline, the relationship should look like a line, and that line should have a slope equal to the dimension.this dimension, at least as I've described it so far using the box counting method, can sometimes change based on how far zoomed in you are.