Maurit Escher Research Paper

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Maurits Cornelis Escher is one of the world's most famous artist. Escher created unique and enchanting works of art that "explore and exhibit a wide range of mathematical ideas" (Smith). Escher was born in 1898 in Leeuwarden, the Netherlands. Escher was born as the youngest and fourth son of a civil engineer. According to Smith, Escher's family planned for him to "follow his father's career of architecture". After failing his high school exams, Escher eventually was enrolled in the School of Architecture and Decorative Art in Haarlem (Bibliography). Escher's poor grades and craftsmanship for drawing and design eventually led him to a career in the "graphic arts, specializing in woodcuts, mezzotints, and lithographs"(Smith).

Until the 1950s, his work went almost unnoticed. By 1956, Escher had given his first important exposition, and was written up in Time magazine (Smith). Escher received world-wide recognition and reputation. Among his greatest admires were mathematical who recognized in his work principles (Smith). The remarkable part was that Escher received no formal mathematics education beyond secondary school. Escher work included two broad areas: the geometry od space, and the logic of space. Escher used various, of what one may call techniques within these broad areas. For instance, tessellations, polyhedra, the shape of space, logic of space, and self-reference.
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Tessellations are arrangements of closed shapes without overlapping and without gaps that completely cover the regular division of a plane. Escher took a special interest in what he called "metamorphoses," in which the shapes change and interact with each other, and at times even broke free of the plane itself. According to Smith, Escher's interest in tessellations began in 1936. Escher had traveled to Spain and viewed the tile patterns in the

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