How does M.C. Escher combine math with art in his tessellations?

M.C. Escher masterfully blends mathematics with art through his intricate tessellations, which are patterns that cover a plane without any gaps or overlaps. He employs geometric transformations such as rotation, reflection, and translation to create visually stunning designs that often feature impossible shapes and optical illusions. By exploring concepts of symmetry and topology, Escher's work invites viewers to contemplate the mathematical principles underlying his art, making his pieces both aesthetically captivating and intellectually stimulating.