ABSTRACT

A recent postcard from a friend, Nob Yoshigahara in Tokyo, asked me

to imagine an ant crawling on the walls, floor and ceiling of a 1 x 1 x 2

rectangular room as shown in Figure 1. A n ant is positioned at A and

can travel to any other point on the surface of the room. I was asked to

find the farthest point from A and was told it is not the point B\ This

problem is the creation of Yoshiyuki Kotani , a mathematics professor in

Saitama, Japan, and he discovered that the farthest point is not at B

but at a specific place on the far face.