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	M.C. Escher - Wikipedia, the free encyclopedia
		Escher, who had been very fond of and inspired by the landscape in Italy, was decidedly unhappy in Switzerland, so in 1937, the family moved again, to Ukkel, a small town near Brussels, Belgium.
		Escher's artwork is especially well-liked by mathematicians and scientists who enjoy his use of polyhedra and geometric distortions.
		Escher is considered a research mathematician of his time because of his documentation with this notebook.
	en.wikipedia.org /wiki/M._C._Escher (1975 words)

	Escher (Site not responding. Last check: 2007-10-22)
		Escher was regularly heard to complain about his lack of natural drawing ability and as a result most of his pieces took a long time to complete, and required numerous attempts before he was completely happy.
		Escher felt that he could improve upon the work of the Moorish artists and used his sketches as a geometric grid from which to design his own characters to fill the plane.
		Escher came across an article written by Coxeter, and again whilst unable to understand the text, he was able to determine the rules regarding hyperbolic tessellations using only the diagrams in the paper.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Escher.html (3138 words)

	MC Escher :: Biography
		Aspiring to be an architect, Escher enrolled in the School for Architecture and Decorative Arts in Haarlem.
		In 1924 Escher married Jetta Umiker, and the couple settled in Rome to raise a family.
		After Escher left Italy in 1935, his interest shifted from landscape to something he described as "mental imagery," often based on theoretical premises.
	www.eyetricks.com /artists/mc_escher/biography.htm (408 words)

	M.C. Escher -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		Escher travelled to (A republic in southern Europe on the Italian Peninsula; was the core of the Roman Republic and the Roman Empire between the 4th century BC and the 5th century AD) Italy regularly in the following years.
		Escher's artwork is well-liked by (A person with advanced knowledge of one of more sciences) scientists, especially (A person skilled in mathematics) mathematicians who enjoy his use of (Click link for more info and facts about polyhedra) polyhedra and (Click link for more info and facts about geometric) geometric distortions.
		The Escher (Extensive landed property (especially in the country) retained by the owner for his own use) estate was given acknowledgement in the credits for the film.
	www.absoluteastronomy.com /encyclopedia/m/m/m.c._escher1.htm (1986 words)

	The Art and Illusions of M. C. Escher [encyclopedia]
		Escher, M(aurits) C(ornelis) (1898-1972) was a Dutch graphic artist, who is most recognized for spatial illusions, impossible buildings, repeating geometric patterns (tessellations), and his incredible techniques in woodcutting and lithography.
		Escher's early work consists mainly of landscapes and townscapes, but beginning about 1936 his work became increasingly concerned with scenes of his own creation, especially with the repeating patterns and spatial illusions for which he is best known.
		Although Escher had no formal training in mathematics or sciences, he has had an especially strong appeal to mathematicians, crystallographers, and to psychologists interested in visual perception.
	eluzions.com /Illusions/Art/Escher (532 words)

	Kimmie's website
		Escher, however, was fascinated by every kind of tessellation — regular and irregular — and took special delight in what he called “metamorphoses,” in which the shapes changed and interacted with each other, and sometimes even broke free of the plane itself.
		In the woodcut “Four Regular Solids,” Escher has intersected all but one of the Platonic solids in such a way that their symmetries complement one another, and he has made them translucent so that each is discernable through the others.
		Escher understood that the geometry of space determines its logic, and likewise the logic of space often determines its geometry.
	home.planet.nl /~kimmie/escher.html (2508 words)

	Escher Centennial Conference in Rome (Site not responding. Last check: 2007-10-22)
		Escher said he felt it "necessary to understand this mechanism which I have not been able to understand." Furthermore, it was fun for him to get from one pattern to another without mathematics but with a lot of patience.
		Capri is nearby, as is Atrani, where Escher found the waterfront tower that he joined to the chessboard in his masterpiece, "Metamorphosis." Ravello is the kind of place where every view is unmatched by any photograph, but Escher captured a number of places exquisitely in his prints.
		Escher used many of the beautiful buildings and viewpoints around Ravello in his work, and we were fortunate to have an expert guide lead us on a tour of the "Escher sights" in this enchanted place.
	www.escher.info /Rome.htm (1509 words)

	M.C. Escher (Site not responding. Last check: 2007-10-22)
		Escher said that he felt irresistible joy with putting multiple copies of an image on a drawing and making them fit together in a structure.
		Through 40 year of practice, Escher found a way to mediate the need for the eyeballs to find meaning and beauty, and the need for the mathematical rules to be followed.
		Escher has a wonderful description of this thinking process in his book "Exploring the Infinite".
	www.geocities.com /williamwchow/escher/escher.htm (375 words)

	M.C. Escher [encyclopedia]
		Maurits Cornelis Escher (June 17, 1898 - March 27, 1972) was a Dutch artist most known for his woodcuts, lithographs and mezzotints, which tend to feature impossible constructions, explorations of infinity, and interlocking geometric patterns which change gradually into completely different forms.
		Most of Escher's better-known pictures date from this period of time; the cloudy, cold, wet weather of the Netherlands allowed him to focus entirely on his works, and only in 1962, when he had to undergo surgery, there was a time where no new images were created.
		Escher moved to the Rosa-Spier house in Laren in the northern Netherlands in 1970, a retirement home for artists where he could have a studio of his own, and died there on March 27, 1972.
	artzia.com /History/Biography/Escher (512 words)

	M. C. Escher
		"After Escher had said goodbye to the south [in 1936], his work took a direction that was eventually to lead to his becoming famous.
		No doubt this circumstance was in a high degree responsible for bringing my inner visions into being.' In the same introduction, Escher wrote about his prints dating from after 1936 that they were created 'with a view to communicating a specific line of thought.
		This is the definitive book on Escher, containing more than 400 reproductions of his graphic work, and including extensive essays.
	www.artchive.com /artchive/E/escher.html (770 words)

	Escher (Site not responding. Last check: 2007-10-22)
		Escher is a declarative, general-purpose programming language that integrates the best features of both functional and logic programming languages.
		Escher also has a collection of system modules, providing numerous operations on standard data types such as integers, lists, characters, strings, sets, and programs.
		Escher goes beyond Gödel in its provision of function definitions, its higher-order facilities, its improved handling of sets, and its provision of concurrency and declarative input/output.
	www.cs.bris.ac.uk /~jwl/escher.html (360 words)

	St. James Encyclopedia of Pop Culture: M. C. Escher
		Escher was best known for his tessellation, or repeating geometric patterns, and he also liked to draw scenes that incorporated several different spatial perspectives.
		Escher died in 1972, not long after the heady counterculture of the 1960s had elevated his art to iconic status.
		The art critic, noting that Escher's fan base seemed confined to "scientists and stoned kids," observed dryly that the "psychedelic young" had seized upon Escher imagery in part because of his "terrific virtuosity" and "gamut of fanciful imagery," not to mention accessibility.
	www.findarticles.com /p/articles/mi_g1epc/is_bio/ai_2419200371 (992 words)

	Pattern Lesson 7 Art Part
		Escher was a great master of tessellation (the regular division of the plane, or tiling).
		Escher was also fascinated by the concept of infinity, which led him into explorations of space beyond the two dimensional plane.
		Escher describes the following: "Placed horizontally and vertically in the plane, with the letters o and m as points of intersection the words are gradually transformed into a mosaic of fl and white squares which in turn develop into reptiles.
	www.dartmouth.edu /~matc/math5.pattern/lesson7art.html (2022 words)

	M.C. Escher -- Encyclopædia Britannica
		From 1919 to 1922, Escher studied at the School of Architecture and Decorative Arts in Haarlem, Netherlands, where he developed an interest in graphics and worked mainly in woodcut.
		Escher, M.C. Dutch graphic artist who is known for his realistic, detailed prints that achieve bizarre optical and conceptual effects.
		Escher, M.C. (1898–1971), Dutch artist known for his lithographs and woodcuts that use realistic details to create bizarre conceptual and optical effects, born in Leeuwarden; studied at Haarlem's School of Architecture and Decorative Arts; achieved technical virtuosity in prints that attracted the general public, mathematicians, and psychologists with their unusual perspective of...
	www.britannica.com /eb/article-9032985?tocId=9032985 (841 words)

	Mathematical Art of M.C. Escher -- Platonic Realms MiniText (Site not responding. Last check: 2007-10-22)
		M.C. Escher (TM) is a Trademark of Cordon Art B.V. No M.C. Escher image may be produced, reproduced, stored in a retrieval system, or transmitted in any form or by any means – electronic, mechanical, photocopying, recording, or otherwise – without the written permission of the copyright owner.
		In the woodcut Four Regular Solids, Escher has intersected all but one of the Platonic solids in such a way that their symmetries are aligned, and he has made them translucent so that each is discernable through the others.
		By introducing unusual vanishing points and forcing elements of a composition to obey them, Escher was able to render scenes in which the “up/down” and “left/right” orientations of its elements shift, depending on how the viewer’s eye takes it in.
	www.mathacademy.com /pr/minitext/escher (2995 words)

	Escher (Site not responding. Last check: 2007-10-22)
		Escher succeeded to put a symbolic bridge between the realms of art and science.
		In "Concave and Convex," Escher has created a paradoxical world where concave and convex are constantly shifting, throwing the mind into complete ambiguity and confusion.
		Escher plays with the ambiguity of volumes on the flat picture plane; they switch from solid to hollow, from inward to outward, from roof to ceiling, like the cubes in the flag.
	trese.cs.utwente.nl /taosad/escher.htm (1147 words)

	m.c. escher ‹ artists ‹ art ‹ meridian.net.au
		M.C. Escher (Maurits Cornelis Escher) is most famous for his prints depicting impossible buildings and structures, tessellations and regular divisions of the plane, contorted perspectives, and illusions.
		Escher's art, especially his later works, lures the casual viewer into an amazing, wonderful, and surprising world.
		Escher's graphic works and prints visualized the impossible, and conceived the most complex mathematical and geometrical ideas, captivating mathematicians, crystallographers, and biologists.
	meridian.net.au /Art/Artists/MCEscher (226 words)

	Escher, M. C. on Encyclopedia.com (Site not responding. Last check: 2007-10-22)
		Escher Group Unveils Next Generation Postage At 'America's Millennium' Celebration in Washington.
		Pictures and Maps for: Escher, M. shows not only the interior of a room, but also a self-portrait of its creator M.C. Escher.
		It is one of the works on included in "M.C. Escher: A Centennial Tribute," a new exhibit devoted to the arti
	www.encyclopedia.com /html/e/escher-m1.asp (378 words)

	Worth1000.com \| Photoshop Contests \| Are you Worthy \| contest
		The rules of this game are thus: You are to photoshop any MC Escher image in some way.
		Escher hadn't liked the idea of adding a waterslide to the house, but the neighbors sure came over more.
		It's actually amazing how Escher could have drawn such a perfect hand and such a perfect self portrait while holding such a large ball...
	www.worth1000.com /cache/contest/contestcache.asp?contest_id=3447&display=photoshop#entries (1298 words)

	Mars Exploration Rover Mission: Press Release Images: Opportunity
		As the red and blue lines indicate, Escher's levels of chlorine relative to Virginia's went up, and sulfur down, before the rover dug a hole into the rocks.
		This implies that the surface of Escher has been chemically altered to a greater extent than the surface of Virginia.
		Like "Escher" and other rocks dotting the bottom of Endurance, scientists believe fractures in Earhart could have been formed by one of several processes.
	marsrovers.jpl.nasa.gov /gallery/press/opportunity/20041007a.html (789 words)

	Encyclopedia: Escher (Site not responding. Last check: 2007-10-22)
		Arnold Escher von der Linth (June 8, 1807 - July 12, 1872), Swiss geologist, the son of Hans Conrad Escher (1767-1823), was born at Zürich.
		Josef Escher (September 17, 1885 - December 9, 1954) was a Swiss politician.
		Self portrait, 1943¹ Maurits Cornelis Escher (Leeuwarden, June 17, 1898 - Laren, March 27, 1972) was a Dutch artist most known for his woodcuts, lithographs and mezzotints, which tend to feature impossible constructions, explorations of infinity, and tessellations.
	www.nationmaster.com /encyclopedia/Escher (286 words)

	M.C. Escher Mindscape (Site not responding. Last check: 2007-10-22)
		You are immovably the focus of your world.” (Escher, 1989, p.
		Escher had his whole world at his fingertips, and now you will too, as you seek the answers to these questions while browsing this site.
		You are cordially invited to enter and explore the life and work of a remarkable artist.
	cybermuse.gallery.ca /cybermuse/youth/escher/home/home01_e.jsp (248 words)

	World of Escher - Secure Shopping, Artwork Gallery, Tesselations Contests
		We at the World of Escher are proud to be here to tell you stories, discuss M.C. Escher's works, provide insight, and offer our high quality products promoting the intriguing work of Escher.
		M.C. Escher was a Dutch graphic artist, most recognized for spatial illusions, impossible buildings, repeating geometric patterns (tessellations), and his incredible techniques in woodcutting and lithography.
		M.C. Escher was a man studied and greatly appreciated by respected mathematicians, scientists and crystallographers yet he had no formal training in math or science.
	www.worldofescher.com (199 words)

	Amazon.co.uk: The Magic of M.C.Escher: Books (Site not responding. Last check: 2007-10-22)
		Escher has always attracted the attention of scientists, mathematicians and teenage boys everywhere.
		For the artist Escher, the skin of the visible world was a piece of cloth that could be cut, folded, shaped, and rearranged in many ways.
		The book is organized chronologically, a view of Escher's art that tells a story on its own, with the early pieces having their own primitive fascination.
	www.amazon.co.uk /exec/obidos/ASIN/0500975914 (959 words)

	Escher for Real (Site not responding. Last check: 2007-10-22)
		This specific shape is reconstructed as a C^0 continuous sweep surface with a square cross section that rotates as we move along the edges.
		The house, as well as the S shaped rods that look vertical from the original viewing direction, were modeled as generalized sweeps by the geometric modeler.
		Again, this model looks like the original Escher drawing from one direction only, whereas the (not so) vertical poles stretch from the far top to the near bottom sides and vice-versa.
	www.cs.technion.ac.il /~gershon/EscherForReal (891 words)

	AllRefer.com - M. C. Escher (European Art, 1600 To The Present, Biography) - Encyclopedia (Site not responding. Last check: 2007-10-22)
		Escher, European Art, 1600 To The Present, Biographies
		Primarily a graphic artist, Escher composed works notable for their irony, often with impossible perspectives rendered with mechanical verisimilitude.
		He created visual riddles, playing with the pictorially logical and the visually impossible.
	reference.allrefer.com /encyclopedia/E/Escher-M.html (171 words)

	Middle Level Mathematics: M.C.Escher: The Poet of the Impossible
		Present to the class a number of works by the artist M.C. Escher and make mention of the fact that he was fascinated by regularity and mathematical structure, by continuity and the infinite, and by the latent conflict in each image.
		Escher used geometrical shapes which he would transform so as to generate other interesting shapes.
		Escher had a great deal of trouble with mathematics when he was at school, and yet his works include much mathematical content.
	www.sasked.gov.sk.ca /docs/midlmath/escher.html (4595 words)

	The Polyhedra of M.C. Escher
		The amazingly original mathematical artist Maurits Cornelis Escher (1898-1972) created imaginative images which give a unique perspective on this world and others.
		He shared this interest with his brother, B.G. Escher, who was a geologist and wrote a text on crystallography.
		For example, this 1961 lithograph Waterfall features the compound of three cubes and the first stellation of the rhombic dodecahedron as ornaments atop the two towers.
	www.georgehart.com /virtual-polyhedra/escher.html (436 words)

	Maurits Cornelius Escher (Site not responding. Last check: 2007-10-22)
		He dealt with the theme of metamorphosis and change in such prints as Verbum (1942) and Metamorphosis (1939-40), which portray a gradual transformation of one shape into another.
		Escher created a visual paradox in the lithograph Relativity (1953) by combining three separate perspectives into a unified, coherent whole.
		Escher on Escher - Exploring the Infinite (by M.C.Escher)
	www.insite.com.br /rodrigo/text/escher.html (136 words)

	Gödel, Escher, Bach: an Eternal Golden Braid
		The works of M.C. Escher and J.S. Bach are discussed, in addition to other works of art and music.
		The form deals with the same mathematical concepts discussed by the characters, and reminds the reader of the musical pieces by Bach and printed works by Escher that the characters mention directly in their talks.
		In the visual arts, this is best exemplified by Escher's Mosaic lithographs, where the shapes that form the background for a group of fl "phantasmagorical beasts" define another set of figures, in white.
	www.forum2.org /tal/books/geb.html (1335 words)

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