Cyprus has some wonderful pictorials between 1928-1934. Let's show them off!
The original Cyprus blog post is here.
"For anyone (S) to traverse the finite distance across a stadium from p0 to p1 within a limited amount of time, S must first reach the point half way between p0 and p1, namely p2.
Before S reaches p2, S must first reach the point half way between p0 and p2, namely p3. Again, before S reaches p3, S must first reach the point half way between p0 and p3, namely p4. There is a half way point again to be reached between p0 and p4. In fact, there is always another half way point that must be reached before reaching any given half way point, so that the number of half way points that must be reached between any pn and any pn-1 is unlimited. But it is impossible for S to reach an unlimited number of half way points within a limited amount of time. Therefore, it is impossible for S to traverse the stadium or, indeed, for S to move at all; in general, it is impossible to move from one place to another.*" * From Plato/standford.edu