Did you know that it is possible to cut a solid ball into 5 pieces, and by re-assembling them, using...
Continue reading...measure theory
Kakeya Needle Problem
What is the smallest-area convex set in the plane inside which a needle (unit straight line segment) can be reversed...
Continue reading...Cantor Set
Start with the interval [0,1]. Remove the (open) middle third of it, i.e. get (1/3, 2/3). Now remove the middle...
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