Sinusoidal Spiral

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The Sinusoidal spiral is the locus of the equations shown below.

When n=(-2), the spiral becomes an equilateral hyperbola. When n=(-1), it becomes a line. When n=(-1/2), it becomes a parabola. When n=(-1/3), it becomes Tschirnhausen's cubic. When n=0, it becomes a logarithmic spiral. When n=1/3, it becomes Cayley's sextic. When n=1/2, it becomes a cardioid. When n=1, it becomes a circle. When n=2, it becomes the Lemniscate of Bernoulli.


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