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Write 2 page essay on the topic The artist M.C. Escher.In some of his works, he created polytypes that cannot be constructed in real world and can be explained using mathematics knowledge.His study on
Write 2 page essay on the topic The artist M.C. Escher.
In some of his works, he created polytypes that cannot be constructed in real world and can be explained using mathematics knowledge.
His study on mathematics began with George Polya’s academic paper about plane symmetry groups. What he studied inspired him to study the concept of 17 wallpapers (Math Explorer Club, 2009). By using this mathematical concept, he manage to create a periodic tilings made up of 43 colored drawings of different types of symmetry. This was the point where he started developing mathematical approach to expressions of symmetry shapes in his drawings. He was being viewed as a research mathematician during that time when he documented his findings in a book wrote about asymmetry polygons. He researched about color based division and he came up with a system of classifying combinations of shape, color and symmetrical properties (Math Explorer Club, 2009).
He also developed several interlocking figures that appear to be mathematically incorrect. With the use of black and white color, he manages to develop different dimensions to make the impossible mathematics look possible. He normally combines 2 and 3 dimensional images to a single print. In his works entitled ‘reptiles’ he drew pictures where reptiles come out of tessellation, move around, and go back into 2 dimensional forms. To create certain linear perspectives, he picked a point on the drawings such that all the lines in the work will converge together at one point. In this way, he used mathematics to develop a certain perception from the audience, without using any special mathematic tool. Escher circle limit III contains tessellations that he drew with a free hand and they are mathematically correct (Abrams, 1995).
In 1956, he analyzed the concept of representing infinity on 2 dimensional planes. His wood carvings circle limit I-IV shows the infinity concept. In 1959, he explained further about infinity using his construction (Abrams, 1995). The
