Please do keep in mind that there isn't one best explanation per subject, just a "local maximum" explanation that is best to a class of people sharing a similar way of thinking. Personally, the normal explanation of "representing (approximating) a complex cyclic function as a linear combination of complex trigonometric functions" made the most sense, while your explanation reads like a convoluted mess of analogies. Therefore, try to have a few completely different explanations per topic, rather than just the one which makes most intuitive sense to you.