M.C Escher was more than just an artist. He created art using patterns of identical shapes, that fit together with no gaps, and did not overlap, also known as tessellations. He went through many stages throughout his art, but his most lasting legacy are the tessellations he made and the mathematical impact they had. By using mathematical reasoning he was able to create the tessellations, but he had to look beyond just mathematics to dig deep into his tessellated optical illusions. M.C Escher was born in Leeuwarden in the Netherlands, but he moved to arnhem young and spent most of his youth there. He was not the greatest student so after failing his high school exams he enrolled in School for Architecture and Decorative Arts in Haarlem. After
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Escher exploited those three shapes, building on math’s premise, to create image, and yet he followed the basic three, four, or six-fold patterns of symmetry still to create more detailed and mathematically correct designs. Utilizing isometry, Escher was able to explore math in ways that mathematicians never would have, exploring the realms that they had discovered. He also used polyhedrons, the regular solids, in his work. He combined these at times, intersected them, made them appear like impossible shapes, and wholly amazed people and mathemagicians alike with his clever manipulation of regular shapes. Most important to his mathematical contributions was his ability to play with space. He created three dimensional effects from two dimensional drawings. Artist before him had created depth of course, but not like he did. He created places where, if someone were able to walk into one his pictures, would be impossible to move around in. Many times he used depth in impossible ways, so that an object would actually be infinitely long if one were to step into the art or art that used only one shape and could go in and out of depth, confusing anyone who would look at the artwork and being mathematically complex and new. Using those ideas in his tessellations he was able to create optical illusions and change how the world saw math, reality, and
Escher exploited those three shapes, building on math’s premise, to create image, and yet he followed the basic three, four, or six-fold patterns of symmetry still to create more detailed and mathematically correct designs. Utilizing isometry, Escher was able to explore math in ways that mathematicians never would have, exploring the realms that they had discovered. He also used polyhedrons, the regular solids, in his work. He combined these at times, intersected them, made them appear like impossible shapes, and wholly amazed people and mathemagicians alike with his clever manipulation of regular shapes. Most important to his mathematical contributions was his ability to play with space. He created three dimensional effects from two dimensional drawings. Artist before him had created depth of course, but not like he did. He created places where, if someone were able to walk into one his pictures, would be impossible to move around in. Many times he used depth in impossible ways, so that an object would actually be infinitely long if one were to step into the art or art that used only one shape and could go in and out of depth, confusing anyone who would look at the artwork and being mathematically complex and new. Using those ideas in his tessellations he was able to create optical illusions and change how the world saw math, reality, and