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Morphing by Joseph Choma

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Spiralling

As stated in ascending, adding the u-parameter is much like plotting a diagonal line. The operation of adding is a means of displacing a shape, like shifting a sine curve from the x-axis to a diagonal trajectory. Multiplication is quite different. If the u-parameter is multiplied outside the trigonometric function [for example, u(sin(v))], the radius of the curve drawn from the centre origin increases incrementally. The curve is not being displaced; it is being stretched iteratively outward according to the u-parameter.

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