 M. C. Escher

Maurits Cornelis Escher
A 1929 selfportraitBorn 17 June 1898
Leeuwarden, The NetherlandsDied 27 March 1972 (aged 73)
Laren, The NetherlandsNationality Dutch Field Drawing, Printmaking Works Relativity, Waterfall, Hand with Reflecting Sphere Influenced by Giovanni Battista Piranesi Awards Knighthood of the Order of OrangeNassau Maurits Cornelis Escher (17 June 1898 – 27 March 1972), usually referred to as M. C. Escher (English pronunciation: /ˈɛʃər/, Dutch: [ˈmʌurɪts kɔrˈneːlɪs ˈɛʃər] ( listen)),^{[1]} was a Dutch graphic artist. He is known for his often mathematically inspired woodcuts, lithographs, and mezzotints. These feature impossible constructions, explorations of infinity, architecture, and tessellations.
Contents
Early life
Maurits Cornelis, nicknamed "Mauk",^{[2]} was born in Leeuwarden, The Netherlands, in a house that forms part of the Princessehof Ceramics Museum today. He was the youngest son of civil engineer George Arnold Escher and his second wife, Sara Gleichman. In 1903, the family moved to Arnhem, where he attended primary school and secondary school until 1918.
He was a sickly child, and was placed in a special school at the age of seven and failed the second grade.^{[3]} Though he excelled at drawing, his grades were generally poor. He also took carpentry and piano lessons until he was thirteen years old. In 1919, Escher attended the Haarlem School of Architecture and Decorative Arts. He briefly studied architecture, but he failed a number of subjects (partly due to a persistent skin infection) and switched to decorative arts.^{[3]} Here he studied under Samuel Jessurun de Mesquita, with whom he would remain friends for years. In 1922 Escher left the school, having gained experience in drawing and making woodcuts.
Later life
In 1922, an important year of his life, Escher traveled through Italy (Florence, San Gimignano, Volterra, Siena, Ravello) and Spain (Madrid, Toledo, Granada). He was impressed by the Italian countryside and by the Alhambra, a fourteenthcentury Moorish castle in Granada, Spain. He came back to Italy regularly in the following years. In Italy he met Jetta Umiker, whom he married in 1924. The young couple settled down in Rome and stayed there until 1935, when the political climate under Mussolini became unbearable. Their son, Giorgio Arnaldo Escher, named after his grandfather, was born in Rome. The family next moved to Châteaud'Œx, Switzerland, where they remained for two years.
Escher, who had been very fond of and inspired by the landscapes in Italy, was decidedly unhappy in Switzerland, so in 1937, the family moved again, to Ukkel, a small town near Brussels, Belgium. World War II forced them to move in January 1941, this time to Baarn, the Netherlands, where Escher lived until 1970. Most of Escher's betterknown pictures date from this period. The sometimes cloudy, cold, wet weather of the Netherlands allowed him to focus intently on his works, and only during 1962, when he underwent surgery, was there a time when no new images were created.
Escher moved to the Rosa Spier house in Laren in 1970, a retirement home for artists where he had his own studio. He died at the home on 27 March 1972, at age 73.
Works
Escher's first print of an impossible reality was Still Life and Street, 1937. His artistic expression was created from images in his mind, rather than directly from observations and travels to other countries. Well known examples of his work also include Drawing Hands, a work in which two hands are shown, each drawing the other; Sky and Water, in which light plays on shadow to morph the water background behind fish figures into bird figures on a sky background; and Ascending and Descending, in which lines of people ascend and descend stairs in an infinite loop, on a construction which is impossible to build and possible to draw only by taking advantage of quirks of perception and perspective.
He worked primarily in the media of lithographs and woodcuts, though the few mezzotints he made are considered to be masterpieces of the technique. In his graphic art, he portrayed mathematical relationships among shapes, figures and space. Additionally, he explored interlocking figures using black and white to enhance different dimensions. Integrated into his prints were mirror images of cones, spheres, cubes, rings and spirals.
In addition to sketching landscape and nature in his early years, he also sketched insects, which frequently appeared in his later work. His first artistic work, completed in 1922, featured eight human heads divided in different planes. Later around 1924, he lost interest in "regular division" of planes, and turned to sketching landscapes in Italy with irregular perspectives that are impossible in natural form.
Although Escher did not have mathematical training—his understanding of mathematics was largely visual and intuitive—Escher's work had a strong mathematical component, and more than a few of the worlds which he drew are built around impossible objects such as the Necker cube and the Penrose triangle. Many of Escher's works employed repeated tilings called tessellations. Escher's artwork is especially well liked by mathematicians and scientists, who enjoy his use of polyhedra and geometric distortions. For example, in Gravity, multicolored turtles poke their heads out of a stellated dodecahedron.
The mathematical influence in his work emerged around 1936, when he was journeying the Mediterranean with the Adria Shipping Company. Specifically, he became interested in order and symmetry. Escher described his journey through the Mediterranean as "the richest source of inspiration I have ever tapped."
After his journey to the Alhambra, Escher tried to improve upon the art works of the Moors using geometric grids as the basis for his sketches, which he then overlaid with additional designs, mainly animals such as birds and lions.
His first study of mathematics, which would later lead to its incorporation into his art works, began with George Pólya's academic paper on plane symmetry groups sent to him by his brother Berend. This paper inspired him to learn the concept of the 17 wallpaper groups (plane symmetry groups). Utilizing this mathematical concept, Escher created periodic tilings with 43 colored drawings of different types of symmetry. From this point on he developed a mathematical approach to expressions of symmetry in his art works. Starting in 1937, he created woodcuts using the concept of the 17 plane symmetry groups.
In 1941, Escher summarized his findings in a notebook, which he labeled Regelmatige vlakverdeling in asymmetrische congruente veelhoeken ("Regular division of the plane with asymmetric congruent polygons").^{[4]} His intention in writing this was to aid himself in integrating mathematics into art. Escher is considered a research mathematician of his time because of his documentation with this paper. In it, he studied color based division, and developed a system of categorizing combinations of shape, color and symmetrical properties.
Around 1956, Escher explored the concept of representing infinity on a twodimensional plane. Discussions with Canadian mathematician H.S.M. Coxeter inspired Escher's interest in hyperbolic tessellations, which are regular tilings of the hyperbolic plane. Escher's wood engravings Circle Limit I–IV demonstrate this concept. In 1995, Coxeter published his finding that these works were extraordinarily accurate: "Escher got it absolutely right to the millimeter."
His works brought him fame: he was awarded the Knighthood of the Order of Orange Nassau in 1955. Subsequently he regularly designed art for dignitaries around the world. An asteroid, 4444 Escher, was named in his honour in 1985.
In 1958, he published a book entitled Regular Division of the Plane, with reproductions of a series of woodcuts based on tessellations of the plane, in which he described the systematic buildup of mathematical designs in his artworks. He emphasized, "Mathematicians have opened the gate leading to an extensive domain."
Overall, his early love of Roman and Italian landscapes and of nature led to his interest in the concept of regular division of a plane, which he applied in over 150 colored works. Other mathematical principles evidenced in his works include the superposition of a hyperbolic plane on a fixed 2dimensional plane, and the incorporation of threedimensional objects such as spheres, columns and cubes into his works. For example, in a print called "Reptiles", he combined two and threedimensional images. In one of his papers, Escher emphasized the importance of dimensionality and described himself as "irritated" by flat shapes: "I make them come out of the plane."
Escher also studied the mathematical concepts of topology. He learned additional concepts in mathematics from the British mathematician Roger Penrose. From this knowledge he created Waterfall and Up and Down, featuring irregular perspectives similar to the concept of the Möbius strip.
Escher printed Metamorphosis I in 1937, which was a beginning part of a series of designs that told a story through the use of pictures. These works demonstrated a culmination of Escher's skills to incorporate mathematics into art. In Metamorphosis I, he transformed convex polygons into regular patterns in a plane to form a human motif. This effect symbolizes his change of interest from landscape and nature to regular division of a plane.
One of his most notable works is the piece Metamorphosis III, which is wide enough to cover all the walls in a room, and then loop back onto itself.
After 1953, Escher became a lecturer at many organizations. A planned series of lectures in North America in 1962 was cancelled due to an illness, but the illustrations and text for the lectures, written out in full by Escher, were later published as part of the book Escher on Escher. In July 1969 he finished his last work, a woodcut called Snakes, in which snakes wind through a pattern of linked rings which fade to infinity toward both the center and the edge of a circle.
Legacy
See also: M. C. Escher's legacy and M. C. Escher in popular cultureThe special way of thinking and the rich graphic work of M.C. Escher has had a continuous influence in science and art, as well as being referenced in popular culture. Ownership of the Escher intellectual property and of his unique art works have been separated from each other.
In 1969, Escher's business advisor, Jan W. Vermeulen, author of a biography in Dutch on the artist, established the M.C. Escher Stichting (M.C. Escher Foundation), and transferred into this entity virtually all of Escher's unique work as well as hundreds of his original prints. These works were lent by the Foundation to the Hague Museum. Upon Escher's death, his three sons dissolved the Foundation, and they became partners in the ownership of the art works. In 1980, this holding was sold to an American art dealer and the Hague Museum. The Museum obtained all of the documentation and the smaller portion of the art works.
The copyrights remained the possession of the three sons – who later sold them to Cordon Art, a Dutch company. Control of the copyrights was subsequently transferred to The M.C. Escher Company B.V. of Baarn, Netherlands, which licenses use of the copyrights on all of Escher's art and on his spoken and written text, and also controls the trademarks. Filing of the trademark "M.C. Escher" in the United States was opposed, but the Dutch company prevailed in the courts on the grounds that an artist or his heirs have a right to trademark his name.
A related entity, the M.C. Escher Foundation of Baarn, promotes Escher's work by organizing exhibitions, publishing books and producing films about his life and work.
The primary institutional collections of original works by M.C. Escher are the Escher Museum, a subsidiary of the Haags Gemeentemuseum in The Hague; the National Gallery of Art (Washington, DC); the National Gallery of Canada (Ottawa); the Israel Museum (Jerusalem); Huis ten Bosch (Nagasaki, Japan); and the Boston Public Library.
Gödel, Escher, Bach by Douglas Hofstadter,^{[5]} published in 1979, discusses the ideas of selfreference and strange loops, drawing on a wide range of artistic and scientific work, including the art of M. C. Escher and the music of J. S. Bach, to illustrate ideas behind Gödel's incompleteness theorems.
Selected works
 Trees, ink (1920)
 St. Bavo's, Haarlem, ink (1920)
 Flor de Pascua (The Easter Flower), woodcut/book illustrations (1921)
 Eight Heads, woodcut (1922)
 Dolphins also known as Dolphins in Phosphorescent Sea, woodcut (1923)
 Tower of Babel, woodcut (1928)
 Street in Scanno, Abruzzi, lithograph (1930)
 Castrovalva, lithograph (1930)
 The Bridge, lithograph (1930)
 Palizzi, Calabria, woodcut (1930)
 Pentedattilo, Calabria, lithograph (1930)
 Atrani, Coast of Amalfi, lithograph (1931)
 Ravello and the Coast of Amalfi, lithograph (1931)
 Covered Alley in Atrani, Coast of Amalfi, wood engraving (1931)
 Phosphorescent Sea, lithograph (1933)
 Still Life with Spherical Mirror, lithograph (1934)
 Hand with Reflecting Sphere also known as SelfPortrait in Spherical Mirror, lithograph (1935)
 Inside St. Peter's, wood engraving (1935)
 Portrait of G.A. Escher, lithograph (1935)
 “Hell”, lithograph, (copied from a painting by Hieronymus Bosch) (1935)
 Regular Division of the Plane, series of drawings that continued until the 1960s (1936)
 Still Life and Street (his first impossible reality), woodcut (1937)
 Metamorphosis I, woodcut (1937)
 Day and Night, woodcut (1938)
 Cycle, lithograph (1938)
 Sky and Water I, woodcut (1938)
 Sky and Water II, lithograph (1938)
 Metamorphosis II, woodcut (1939–1940)
 Verbum (Earth, Sky and Water), lithograph (1942)
 Reptiles, lithograph (1943)
 Ant, lithograph (1943)
 Encounter, lithograph (1944)
 Doric Columns, wood engraving (1945)
 Three Spheres I, wood engraving (1945)
 Magic Mirror, lithograph (1946)
 Three Spheres II, lithograph (1946)
 Another World Mezzotint also known as Other World Gallery, mezzotint (1946)
 Eye, mezzotint (1946)
 Another World also known as Other World, wood engraving and woodcut (1947)
 Crystal, mezzotint (1947)
 Up and Down also known as High and Low, lithograph (1947)
 Drawing Hands, lithograph (1948)
 Dewdrop, mezzotint (1948)
 Stars, wood engraving (1948)
 Double Planetoid, wood engraving (1949)
 Order and Chaos (Contrast), lithograph (1950)
 Rippled Surface, woodcut and linoleum cut (1950)
 Curlup, lithograph (1951)
 House of Stairs, lithograph (1951)
 House of Stairs II, lithograph (1951)
 Puddle, woodcut (1952)
 Gravitation, (1952)
 Dragon, woodcut lithograph and watercolor (1952)
 Cubic Space Division, lithograph (1952)
 Relativity, lithograph (1953)
 Tetrahedral Planetoid, woodcut (1954)
 Compass Rose (Order and Chaos II), lithograph (1955)
 Convex and Concave, lithograph (1955)
 Three Worlds, lithograph (1955)
 Print Gallery, lithograph (1956)
 Mosaic II, lithograph (1957)
 Cube with Magic Ribbons, lithograph (1957)
 Belvedere, lithograph (1958)
 Sphere Spirals, woodcut (1958)
 Ascending and Descending, lithograph (1960)
 Waterfall, lithograph (1961)
 Möbius Strip II (Red Ants) woodcut (1963)
 Knot, pencil and crayon (1966)
 Metamorphosis III, woodcut (1967–1968)
 Snakes, woodcut (1969)
References
 ^ Duden Aussprachewörterbuch (6 ed.). Mannheim: Bibliographisches Institut & F.A. Brockhaus AG. 2005. ISBN 3411040661.
 ^ "We named him Maurits Cornelis after S.'s [Sara's] beloved uncle Van Hall, and called him 'Mauk' for short ....", Diary of Escher's father, quoted in M. C. Escher: His Life and Complete Graphic Work, Abradale Press, 1981, p. 9.
 ^ ^{a} ^{b} Barbara E, PhD. Bryden. Sundial: Theoretical Relationships Between Psychological Type, Talent, And Disease. Gainesville, Fla: Center for Applications of Psychological Type. ISBN 0935652469.
 ^ Barry Cipra (1998). Paul Zorn. ed. What's Happening in the Mathematical Sciences, Volume 4. American Mathematical Society. p. 103. ISBN 0821807668.
 ^ Hofstadter, Douglas R. (1999) [1979], Gödel, Escher, Bach: An Eternal Golden Braid, Basic Books, ISBN 0465026567
Further reading
 M.C. Escher, The Graphic Work of M.C. Escher, Ballantine, 1971. Includes Escher's own commentary.
 M.C. Escher, The Fantastic World of M.C. Escher, Video collection of examples of the development of his art, and interviews, Director, Michele Emmer.
 Locher, J.L. (2000). The Magic of M. C. Escher. Harry N. Abrams, Inc. ISBN 0810967200.
 Ernst, Bruno; Escher, M.C. (1995). The Magic Mirror of M.C. Escher (Taschen Series). TASCHEN America Llc. ISBN 1886155003 Escher's art with commentary by Ernst on Escher's life and art, including several pages on his use of polyhedra.
 Abrams (1995). The M.C. Escher Sticker Book. Harry N. Abrams. ISBN 0810926385 .
 "Escher, M. C." The World Book Encyclopedia. 10th ed. 2001.
 O'Connor, J. J. Escher. 01 2000. University of St Andrews, Scotland. 17 June 2005.
 Schattschneider, Doris and Walker, Wallace. M. C. Escher Kaleidocycles, Pomegranate Communications; Petaluma, California, 1987. ISBN 0906212286.
 Schattschneider, Doris. M.C. Escher : visions of symmetry, New York, N.Y. : Harry N. Abrams, 2004. ISBN 0810943085.
 M.C. Escher's legacy: a centennial celebration; collection of articles coming from the M.C. Escher Centennial Conference, Rome, 1998 / Doris Schattschneider, Michele Emmer (editors). Berlin; London: SpringerVerlag, 2003. ISBN 354042458X (alk. paper), ISBN 354042458X (hbk).
 M.C. Escher: His Life and Complete Graphic Work, edited by J. L. Locher, Amsterdam 1981.
External links
 "M.C. Escher official website". http://www.mcescher.com/.
 "Math and the Art of M.C. Escher". USA: SLU. http://mathcs.slu.edu/escher.
 Artful Mathematics: The Heritage of M. C. Escher. USA: AMS. http://www.ams.org/notices/200304/feaescher.pdf.
 Escherization problem and its solution. CA: University of Waterloo. http://www.cgl.uwaterloo.ca/~csk/projects/escherization/.
 "Escher for Real". IL: Technion. http://www.cs.technion.ac.il/~gershon/EscherForReal/. — physical replicas of some of Escher's "impossible" designs
 "M.C. Escher: Life and Work". USA: NGA. http://www.nga.gov/collection/gallery/ggescher/ggeschermain1.html.
 "US copy right proctection for UK artists". UK. http://www.artquest.org.uk/articles/view/uscopyrightprotectionforukartists1. Copyright issue regarding Escher from the Artquest Artlaw archive.
 Schattschneider, Doris (June/July 2010). "The Mathematical Side of M. C. Escher" (PDF). Notices of the American Mathematical Society (USA) 57 (6): 706–18. http://www.ams.org/notices/201006/rtx100600706p.pdf. Retrieved 20100709.
 Gallery of tessellations by M.C. Escher
M. C. Escher Works 1920s1930s1940s1950s1960sCategories: M. C. Escher
 Dutch illustrators
 Dutch printmakers
 Modern printmakers
 Impossible objects
 People from Leeuwarden
 1898 births
 1972 deaths
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