It does say though not brilliantly well. First para "What is the smallest area that you can sweep out while rotating an infinitely thin needle in all possible

It does say though not brilliantly well. First para "What is the smallest area that you can sweep out while rotating an infinitely thin needle in all possible directions? Spin it around its center like a dial, and you get a circle. But rotate it more cleverly, and you can cover an arbitrarily small fraction of space" The animated diagram shows how a naive circular sweep covers a circle of area x, the err.. other one covers an area of x/2. You can reduce from x to x/2 to x/n for arbitrarily large n (I think, IANAM) thus tending towards arbitrarily small area. A bit more detail https://www.quantamagazine.org/new-proof-threads-the-needle-on-a-sticky-geometry-problem-20230711/ https://www.quantamagazine.org/new-proof-threads-the-needle-...