23-Apr-1995
Unsolved Problem 17:
Is there a set S in the plane
such that every set congruent to S contains
exactly one lattice point?
A lattice point is a point with integer
coordinates.
Reference:
- [Hammer 1978]
- J. Hammer,
Unsolved Problems Concerning Lattice Points.
Pitman. London: 1978.
Page 35.
Lattice Points Covered by a Set
Each week, for your edification, we publish a well-known
unsolved mathematics problem. These postings are intended
to inform you of some of the difficult, yet
interesting, problems that mathematicians
are investigating. We do not suggest that you tackle these problems,
since mathematicians have been unsuccessfully working on these
problems for many years.
general references
previous problem
problem archive
next problem
electronic publications