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...

Continue reading...