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Morphing by Joseph Choma

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Translating

A coffee mug is lifted off a table. The mug still appears to be the same shape. Physically, the material of the mug has not transformed; however, its location is different. According to mathematics, the location of a shape is part of the shape’s inherent DNA. Throughout this guide, parametric equations include: coordinates (x, y, z), parameters (u, v, w) and functions (sine, cosine). Parameters and functions define the value of the coordinates, and the coordinates define the locations of the shape’s points in space. If an integer is added to a particular coordinate, the shape moves in that direction. Remember, the parametric equation is the DNA of any given shape. Forget about words and definitions! If the equation changes, so does ...

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