regular map noun2 •A morphism between algebraic varieties.We now find out how a regular map acts on the ring of regular functions on a closed set.[…]Moreover, regular maps can be characterised as the maps that take regular functions into regular functions. — 1994 •A symmetric tessellation of a closed surface; a decomposition of a two-dimensional manifold into topological disks such that every flag (incident vertex-edge-face triple) can be transformed into any other flag by a symmetry (i.e., an automorphism) of the decomposition.Just as there are only five regular maps on the sphere (or plane), there are only three classes of regular maps that can be created on a torus. — 1990 formsregular maps