The Kakeya set—named for its discoverer Sōichi Kakeya—was complicated by a subsequent mathematician named Abram Samoilovitch ...

To do this, we use the angle and compare it with 360˚. This angle is 144°. That is \(\frac{{144^\circ }}{{360^\circ }} = \frac{2}{5}\) of a full turn (360°). So the arc is \(\frac{2}{ ...