  It is a well known phenomenon that many classical minimal surfaces in
Euclidean space also exist with higher dihedral symmetry. More precisely, these
surfaces are solutions to free boundary problems in a wedge bounded by two
vertical planes with varying angle. We will study the limit of such surfaces
when the angle converges to 0. In many cases, these limits are simpler than the
original surface, and can be used in conjunction with the implicit function
theorem to give new existence proofs of the original surfaces with small
dihedral angle. This approach has led to the discovery of new minimal surfaces
as well.
