MathDB
quotient perimeter area

Source: Miklos Schweitzer 1998 q6

September 14, 2021
geometryperimetercalculus

Problem Statement

Let U be the union of a finite number (not necessarily connected and not necessarily disjoint) of closed unit squares lying in the plane. Can the quotient of the perimeter and area of U be arbitrarily large?
@below: i think "single" means "connected".