What began as a competition to appease a member of royalty's birthday wishes, continued on to not only introduce an entirely new area of mathematical studies but also to leave one particular question to remain without a complete and substantiated...
In this paper Euclidean and hyperbolic discontinuous isometries* are discussed and compared. The graphic artist M.C. Escher (1898-1972) produced works which have for the structure points, lines, and angles, which repeat in the plane (Euclidean and...