Exploring Escher: Art Meets Mathematics in Graphics


Fantasy and Symmetry: The Periodic Drawings of M. C. Escher
Fantasy and Symmetry: The Periodic Drawings of M. C. Escher



Envision a realm where water flows uphill, staircases lead to nowhere, and hands draw themselves. The artistic universe of M.C. Escher is one of perpetual wonder, a playground where the impossible becomes possible through meticulous craftsmanship and mathematical acuity. His creations are not mere illustrations; they are visual riddles that blur the line between art and science, demanding a closer inspection of our perceived reality. In this study, we unveil the metamorphosis of Escher from a graphic artist of realistic landscapes to a master of illusionistic art. We will explore how he captured infinity within bounded spaces and examine the profound influence his legacy has exerted on modern art and science. Escher’s work is a testament to the power of bridging disparate disciplines, a revolutionary act that forever altered the terrain of graphic arts.

Escher’s Evolving Style

M.C. Escher’s journey into the fantastic began with the solid grounding of the observable world. Early in his career, Escher’s works such as “Eight Heads” (1922) and “Still Life with Mirror” (1934) reflected a realistic approach, capturing moments in nature and everyday life with keen attention to detail and light. However, the seeds of his later evolution were already evident. “Still Life with Mirror” reveals Escher’s initial engagement with reflection and perspective, themes that would later define his opus. These formative pieces laid the groundwork for his eventual turn towards the abstract and the impossible, marking a stark departure from his earlier adherence to the concrete.

Analysis of Major Works

“Relativity” (1953) is a masterclass in manipulating perspective. Here, Escher constructs a world where gravity is subjective, and multiple planes of existence coalesce within a single space. The characters, each aligned to their own gravitational force, traverse staircases that rotate around a central point, allowing them to exist in their own distinct realities concurrently. This lithograph not only exemplifies the visual trickery that is Escher’s trademark but also challenges our fundamental understanding of physical laws.

In “Ascending and Descending” (1960), Escher engages in a commentary on the cyclical nature of human endeavors. The infinite staircase, a clever construction of geometric precision, creates an optical illusion of a never-ending climb or descent. This work captures the Sisyphean struggle inherent in human experience, alluding to the pursuit of goals that may ultimately lead nowhere.

“Waterfall” (1961) stands as an enchanting paradox, portraying a watercourse that loops eternally back to its origin. Escher employs the Penrose Triangle, an impossible figure, to create a visual narrative of water flowing against the laws of physics. It is this ability to materialize an impossible object within a believable and natural-looking setting that cements Escher’s standing as an ingenious creator of visual enigmas.

Impact on Modern Art and Science

Escher’s work transcended the art world to inspire fields as diverse as mathematics and popular culture. His influence permeates the realm of film, seen in the mind-bending structures of movies like “Inception” (2010), where Escheresque architecture underpins the film’s dreamscapes. Architects and designers continue to echo Escher’s tessellations and impossible figures, striving to incorporate these elements into functional yet imaginative spaces.

The educational sphere has also embraced Escher’s legacy, utilizing his work to teach principles of geometry and perspective. Students and mathematicians alike ponder over his “Metamorphosis” series, marveling at the seamless transformations within a plane—a testament to his enduring relevance in the study of tessellations and symmetry.


M.C. Escher forged a path that has not only charted new territories in graphic arts but also established a symbiotic relationship between art and mathematics. His intricate designs compel observers to query their perceptions of reality, marrying aesthetics with intellect. Escher’s legacy is one of boundless creativity and intellectual challenge; his works continue to captivate and educate, serving as an enduring reminder of the importance of cross-disciplinary exploration. In a world that increasingly seeks to compartmentalize knowledge, Escher’s oeuvre stands as a beacon to the power of interdisciplinary fusion, catalyzing innovation and expanding our understanding of the visible and the conceivable.


[1] Schattschneider, Doris. “M.C. Escher: Visions of Symmetry.” New York: W.H. Freeman and Company, 1990.

[2] Locher, J.L. “The Magic of M.C. Escher.” Harry N. Abrams, Inc., Publishers, 2000.

[3] Coxeter, H.S.M. “Introduction to Geometry.” New York: John Wiley & Sons, 1969.

[4] Escher, M.C. “Escher on Escher: Exploring the Infinite.” Abrams, 1989.

[5] Ernst, B. “The Magic Mirror of M.C. Escher.” New York: Random House, 1976.

[6] Kaplan, C.S., & Salesin, D.H. “Escherization.” Proceedings of the 27th annual conference on Computer graphics and interactive techniques, 2000.

[7] MacGillavry, Caroline H. “Fantasy & Symmetry: The Periodic Drawings of M.C. Escher.” Harry N. Abrams, Inc., 1965.