A sine wave is one dimension of a circle, unwrapped in the temporal dimension. Sine and co-sine are the actuator signals for a 2D plotter that is meant to draw a circle.
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The representation of periodic sound involves multiple dimensions of periodic generators that can be visualized as stable geometric surfaces. If there exist rotational operators between dimensions, we perceive them as space. Independent dimensions: we perceive them as color.
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my undergrad physics prof tried to hammer this into my skull in 10 different ways and I just couldn't see the forest for the trees at the time! I think more and more these days about doing some continuing education math courses now that I might be able to properly understand it
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So depressing that we need to get THAT old before we begin to understand math.
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