The article explores M.C. Escher's work on regular division of the plane, focusing on tessellations of recognizable shapes like birds and fish. Escher used these patterns to depict infinity. The research shows that Escher's works are applications of regular or semi-regular tessellations on the Euclidean plane, sphere, or Poincaré disk. The study also investigates the geometric construction of these tessellations and their relationship to convex polyhedra in 3D space. It proposes methods for geometric construction and metric calculation of these shapes.