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

The problem involves a subfield called geometric measure theory ... itself when applied to a two-dimensional shape, turning a line segment into a straw. The size of those tubes can then be ...

In a special question in geometry called a Kakeya set ... unto itself when applied to a two-dimensional shape, turning a line segment into a straw. The size of those tubes can then be tuned ...