Thing I wish I had understood in school: a wave is a periodic, differentiable system. A periodic system is a loop. Differentiable means the states are approximately continuous (you can fit a curve to them). A smooth wave has a differentiable derivative.
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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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Replying to @Plinz
https://en.wikipedia.org/wiki/Impossible_color … Normative color-visual space is folded, with large blind spots. RGB are not handled as "independent dimensions"; Their representation carries a major artifact load from our evolution.
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Replying to @chophshiy
Are you sure that the perceptual color space itself has blind spots, and not the color categorization? (Of course, the physical color space depends on the receptor types that sample photons at particular wavelengths, and the structure that we discover in that space.)
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The interesting space is that color forms a continuous multidimensional space, and you can move around in the model, based on the adjacency relations. But unlike in a location space, you don't observe objects moving around in color space.
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