The Cantor Set is a standard example and counter example in set theory. It has a cousin, the Cantor Function, sometimes called the Devil's Staircase, which is a very useful thing to know if you are looking for counter examples in calculus, or just building intuition. A nice explanation of it is here.
Normal people should ignore this but for the mathematically mature here is a case in point.
Stupidity is not a social construct
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