# Kakeya Needle problem video

I'm intruiged by the Kakeya Needle problem, described here on Wikipedia. Wikipedia has a nice animation of a needle turning through a hypo-cycloid:

What I'm searching for is a visualisation of the same process but on a Besicovitch set like:

because I can't quite imagine it.

• That doesn't seem likely to be visualizable—I think the needle would be jumping back and forth infinitely many times. – dfeuer Jul 27 '13 at 16:44
• @dfeuer: Not infinitely many times. For any $\epsilon > 0$, we can construct such a set with area less than $\epsilon$. Any such construction is finite and well-behaved, but the smaller the value of $\epsilon$, the more spiky it gets. – TonyK Jul 29 '13 at 17:26
• A bit late, but you can find some animation in this Numberphile video, slightly before 12:00, and in this Mathologer video – Del Jun 27 '18 at 9:37
• @Del: Thank you! – Marius Kempe Jun 28 '18 at 10:28