M C Escher
M. C. Escher
M. C. Escher
M.C. Escher (1898-1972) produced work that remains among the most widely reproduced and popular graphic art of the twentieth century. His brain-teasing prints use interlocking shapes, transforming creatures, and impossible architectures to challenge the viewer's perceptions of reality. Expressing what he called a "keen interest in the geometric laws contained by nature around us," his finely crafted compositions combine precise realism with fantastic explorations of pattern, perspective, and space.
Maurits Cornelis Escher (who called himself M.C.) was the youngest son of a hydraulic engineer but showed no early aptitude for mathematical concepts. He was such a poor student, in fact, that he twice had to repeat a grade. He did show some artistic talent and so was encouraged by an art teacher to pursue his interests in woodcuts and drawing. His father then sent him to the School for Architectural and Decorative Arts in Haarlem to study architecture. Within a few days of his arrival, a graphics instructor named Samuel Jesserun de Mesquita recognized that his talent lay not in architecture but in the decorative arts. Escher soon transferred to a graphic arts curriculum and within two years had become such an accomplished printmaker that de Mesquita encouraged him to leave academia in favor of professional work. Escher considered his teacher such an important influence that he kept a photograph of him on his cupboard for the rest of his life.
Early Works Inspired by Italian Landscape
In 1921 Escher first visited Italy with his parents and discovered the Italian landscapes and architecture that he would depict in his prints for the next fifteen years. The steep slopes and clustered dwellings of the Amalfi coast and the stark Abruzzi mountains provided his first inspirations for exploring the illusions of perspective and spatial structure. On a trip to Spain the following year he visited the Alhambra Palace for the first time. Its complex Moorish ornaments and highly abstract designs had a profound effect on his later work. On his next trip to Italy in 1923, he met the woman who would become his wife, Jetta, and moved with her to Rome. For the next few years he regularly traveled to rugged areas of Italy, Corsica, and Sicily, often in the company of other artists, to sketch and record his impressions. During this time he began to show his prints and develop a reputation as a graphic artist, but he was principally supported by his family. One of his first prints to draw critical attention was Castrovalva, a lithograph of a small town in the Abruzzi region.
By the early 1930s, the rise of fascism was beginning to make life in Italy uncomfortable for the Eschers, who now had two young sons. In July of 1935, they moved to Chateau d'Oex in Switzerland. From May to June in 1936, Escher and Jetta made their last study trip by freighter along the coast of Spain. Escher received free passage in exchange for prints of the sketches he would make along the route. On this trip he made detailed sketches of the Alhambra and of the mosque La Mezquita in Cordoba. This exposure to the repeating motifs and complex abstract patterns of Islamic design, which contains no recognizable human or animal forms and is created from a center outward, inspired the pursuit which occupied the rest of his creative life-the regular division of a plane. From this point on, his work turned dramatically from landscapes to invented images and the mathematical principles which underlie nature. After 1936 he used natural elements only in the service of more abstract explorations and subjects.
As war threatened Europe, Escher decided to move closer to his homeland, so in 1937 the Eschers moved to Belgium. By this time Escher had begun a systematic study of periodic surface division and tessellation, the creation of a pattern of shapes that continuously covers a surface. He also discovered a mathematical paper on plane symmetry groups and began to incorporate its principles into his work, even though he did not fully understand many of the abstract concepts it described. One of his most famous prints, Day and Night, was produced during this same period and illustrates his interest in dualities and transformations. In it, a flat surface of farmland gradually is transformed into mirror images of two flocks of black and white geese who migrate east and west simultaneously, confusing the viewer with a two-dimensional image which appears to be three-dimensional.
In 1941 Escher moved to Baarn, Holland, where he remained for the rest of his life. During the war, he visited the deserted house of his teacher de Mesquita and salvaged the prints that had been scattered there when German troops took the family away to a concentration camp, where they died. From this time on he lived quietly and continued to explore such concepts as capturing infinity within a single plane, self-similarity, and the relativity of perspective, as in High and Low, which depicts the same scene from above and below. He also developed an interest in purely geometric figures and crystals. In the mid-1950s he began producing so-called impossible figures, visual riddles which follow the logic of pictorial representation yet could not possibly exist in reality.
International Recognition in the 1950s
By the early 1950s Escher's work had begun to draw the attention of scientists and the public, although he was largely ignored by art critics. He exchanged ideas with mathematicians, although he claimed to be "absolutely innocent of training or knowledge in the exact sciences," and in turn influenced them. Articles on his work were published in Time and Life, and his work began to be displayed in galleries. Recognition from the art world finally arrived in a 1951 article in The Studio, which referred to Escher as "a remarkable and original artist who was able to depict the poetry of the mathematical side of things in a most striking way." In 1954, his work was exhibited in a large show as part of an international mathematics conference in Amsterdam. During this time he continued exploring approaches to infinity and in 1956 produced Print Gallery, which he considered the pinnacle of his expression as an artist and thinker.
In the 1960s, Escher's visual illusions and paradoxes found a new audience among academics who were questioning conventional views of human perception and exploring alternative views of nature. Escher's work was seen as relevant to new views of geology, chemistry, and psychology as well as to more inclusive views of the physical relationships of time and space. His work was even more popular among college students and in the counterculture, which was questioning accepted views of normal experience and testing the limits of perception with hallucinogenic drugs. He became a cult figure whose images were reproduced on so many different ordinary objects and became so much a part of popular culture that the Escher Foundation, formed late in his life, spent much time and effort trying to control the unauthorized use of his work.
Although he was flattered by his following among young people, he did not encourage their mystical interpretations of his images, saying, "I have had a fine old time expressing concepts in visual terms, with no other aim than to find out ways of putting them on paper. All I am doing in my prints is to offer a report of my discoveries." To a woman who claimed to find illustrations of reincarnation in Reptiles, he replied, "Madam, if that's the way you see it, so be it." Far from symbolic, his work is the "pictorial representation of intellectual understanding," according to Bruno Ernst in The Magic Mirror of M.C. Escher, and is "strictly rational; every illusion … is the result of a totally reasoned construction" and the endpoint of a quest to discover new insights into how space can be depicted on a flat surface. Although his imagery became part of a cultural trend toward transcending the limits of rationality, Escher's goal was to "testify that we live in a beautiful and orderly world, not in a chaos without norms." Far from challenging sanity itself, he wanted merely to demonstrate "the nonsensicalness of some of what we take to be irrefutable certainties."
In the 1960s critics began to place Escher among the great thinkers of art for whom the act of seeing and reproducing visual images required careful examination of the fundamentals of perception. In Jardin des Arts, Albert Flocon wrote in 1965 that his work "teaches us that the most perfect surrealism is latent in reality, if only one will take the trouble to get at the underlying principles of it." A retrospective of Escher's work was held in the Hague in 1968, and the government of the Netherlands commissioned a film about him in 1970. Even though his work had begun to sell well, he continued to live frugally late in life and gave away much of his income. In 1969 he created his last great print, Snakes, and was forced by declining health in 1970 to move to a nursing home for artists in Laren, Holland. He died on March 27, 1972.
In the 1980s, Escher's work reached another audience with the publication of a Pulitzer Prize-winning book by Douglas Hofstadter that used many features of his work as examples of "Strange Loops," intricate structures and forms that paradoxically represent an endless process in a finite way. As in some musical compositions or computer programs, the Strange Loops of Escher's images draw the viewer into a system with many coexisting levels of structure which may be part of an infinite cycle that only leads back to the starting point. Escher's work also began to be used in the classroom for hands-on demonstration of geometric and mathematical principles. In 1995 the National Gallery of Canada held an exhibition of his work that was accompanied by a forum to investigate how Escher's work could be used to integrate teaching of the visual arts, mathematics, and music.
To celebrate the centennial of Escher's birth, the National Gallery of Art held a retrospective exhibition in 1997-98 which included many rare early works as well as his most famous images. The New York Times critic wrote of it that "the viewer is presented with little more than a reasonable facsimile of the art experience, one that is challenging without being demanding, magical without being genuinely mysterious, that tickles the mind without genuinely stirring the emotions." Other critics, however, agreed with the public that Escher's well-crafted images "tease the mind in a way that's comfortable and inviting." In the Washington Post, Henry Allen observed: "Escher is for people who savor the infinities implied by master craftsmanship and enjoy spending an hour or so in the pristine gloaming and mathematical mortalities and mischief of Planet Thought."
An international congress of scholars in Italy celebrated Escher's multifaceted contributions in 1998 with noted speakers from mathematics, science, art, education, psychology, and other disciplines. Commemorative exhibitions were also held in Greece, Great Britain, the United States, and elsewhere. Escher's prints have become prized by collectors, and many books, articles, and CD-ROMs exploring his legacy have been produced since his death. New generations of enthusiasts continue to respond to his playful, imaginative manipulations of reality whose aim, he wrote, was above all to "awaken wonder in the minds of my viewers."
Coxeter, H.S.M., ed., M.C. Escher, Art and Science: Proceedings of the International Congress on M.C. Escher, Rome, Italy, 26-28 March 1985, Elsevier, 1986.
Ernst, Bruno, The Magic Mirror of M.C. Escher, Random House, 1976.
Hofstadter, Douglas R., Gödel, Escher, Bach: An Eternal Golden Braid, Vintage, 1979.
Locher, J.L., ed., Escher: The Complete Graphic Work, Thames and Hudson, 1992.
Locher, J.L., ed., M.C. Escher: His Life and Complete Graphic Work, Abrams, 1982.
Schattschneider, Doris, Visions of Symmetry: Notebooks, Periodic Drawings, and Related Work of M.C. Escher, W.H. Freeman, 1990.
Chronicle of Higher Education, December 19, 1997.
Insight on the News, March 23, 1998.
New York Times, January 15, 1989; September 15, 1996; January 21, 1998.
School Arts, October, 1995.
Scientific American, February, 1993; November 1994.
Washington Post, October 26, 1997.
"Escher98: The Centennial Congress," Centennial Congress on M.C. Escher,http://www.mat.uniroma1.it (April 4, 1998).
"Biography of M.C. Escher," Thames and Hudson's Escher Interactive,http://www.thameshudson.co.uk (April 4, 1998).
"An Invitation from the National Gallery of Canada," http://www.umanitoba.ca/cm (April 4, 1998).
Escher, M. C.
Escher, M. C.
Dutch Artist 1898–1972
Maurits Cornelis Escher was born in Leeuwarden, Holland, in 1898. He enrolled in the School for Architecture and Decorative Arts in Haarlem because his father, a civil engineer, wanted him to become an architect. Escher, however, left school in 1922 to pursue his interest in art. He married in 1924 and moved to Rome where he lived until 1934. Growing political tension in Europe caused him to move his family first to Switzerland, then to Belgium, and finally back to the Netherlands in 1941. He remained there until his death in 1972.
Mathematics in Art
Escher's art is of particular interest to mathematicians because, although he received no mathematical training beyond his early years, he used a variety of mathematical principles in unique and fascinating ways. Escher's artwork encompasses two broad areas: the geometry of space, and the so-called "logic" of space.
On a visit to the Alhambra in Spain, Escher was inspired by the colorful geometrical patterns of tiles. He began to explore the various ways of filling two-dimensional space with symmetrically repeated arrangements of images known as tessellations. In the process, he discovered the same principles that had been developed previously, unknown to Escher, within the branch of mathematics known as group theory. When mathematicians and scientists became aware of his work, they helped popularize his art, and he soon gained an international reputation.
Subsequent interactions with mathematicians introduced Escher to other mathematical concepts that he explored in his art. Among the results are his so-called impossible constructions that appear reasonable but prove to be impossible to construct in three-dimensional space. He also employed non-Euclidean geometry , representations of infinite space, and various aspects of topology .
Although Escher completed his final graphic work in 1969, the popularity of his images continues today. Several Internet sites are dedicated to providing information about Escher and selling renditions of his art.
see also Dimensions; Euclid and his Contributions; Mathematics, Impossible; Tessellations; Topology.
J. William Moncrief
Escher, M. C. The Graphic Work of M. C. Escher. New York: Meredith Press, 1967.
MacGillavry, Caroline H. Symmetry Aspects of M. C. Escher's Periodic Drawings. Utrecht: A. Oosthoek's Uitgeversmaatschappij NV, 1965.