How did M.C. Escher create his illusions?

M.C. Escher created his illusions through a masterful combination of mathematics, geometry, and artistic creativity. He meticulously studied concepts such as tessellations, perspective, and symmetry to design intricate patterns and impossible constructions that play with the viewer's perception. By manipulating visual elements and employing techniques like impossible figures and optical illusions, Escher crafted works that challenge our understanding of space and reality. His unique approach blurred the lines between art and mathematics, inviting viewers to explore the complexities of visual perception.