Writing & Language
The creation of today's animated films, frequentlyhailed for their lifelike artistry, relies heavily onmathematics. Animators use algorithms, orsequences of mathematical steps, to create, forinstance, the rounded shapes making up an oldman's knobby knuckles or a young girl's bouncy hair. One of the algorithms now considered an industry standard repeatedly subdivides a polygon bysplitting and averaging the midpoint of a line. Developed by Pixar Animation Studio's TonyDeRose, this algorithm eliminated the problem of discernible edges of polygons by replacingthem with the seamlessly rounded curves of the parabolas that emerge as a result of thepolygon subdivision process. Innovations such as DeRose's depend on an understanding ofapplied mathematics in areas such as geometry, linear algebra, trigonometry, and calculus.
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