What are some of M.C. Escher's mathematical theories?

Answer 1

M.C. Escher was renowned for his intricate and visually paradoxical artwork that often explored mathematical concepts such as symmetry, topology, and infinity. He utilized tessellations—repeating patterns that fit together without gaps—to illustrate complex geometric principles. Escher's work also delved into concepts of perspective and dimensionality, often depicting impossible constructions and transformations that challenge the viewer's perception of reality. His art serves as a bridge between visual aesthetics and mathematical theory, inspiring both artists and mathematicians alike.