|The Cantor Set|
The Cantor set is defined as follows: Start with the interval [0, 1].
The process of getting the Cantor set can be illustrated as follows.
The Cantor set is uncountable and contains no intervals. It is, perhaps, the earliest example of fractals.
For a given number x between 0 and 1, x belongs to the Cantor set if and only if there is a ternary representation of x that does not contain the digit 1, that is,
For a rational number x, you can use the following calculator to test it.
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