The Cantor Middle Thirds set is generated by the IFS | ||||||||
T1(x) = x/3   T2(x) = x/3 + 2/3 | ||||||||
To compute the box-counting dimension of the Cantor set,
we cover it with smaller and smaller boxes, taking the box scaling based on the
natural size structure of the fractal. That is, we use boxes of side length | ||||||||
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The pattern is simple enough that we can find the exact value of the dimension. |
Return to Box-Counting Dimension.