, 5 tweets, 2 min read
Trigonometric waves as shadows of meta-phenomena in Plato's cave. A rotating spiral when projected in orthogonal dimensions yields distinct phenomena in different dimensions.
More of these plots can be found in The Analytic Impulse by Andrew Duncan: andrewduncan.net/air/
Phase, frequency, and amplitude co-exist as cross dimensional epiphenomena:
These insights could have saved me years of toil mugging up equations in high school and college where I thought algebra and trigonometry to be abstract bullshit. If only I knew signs held insight. What I missed was Maths was modelling life itself. It is a mirror of our universe.
One more video elucidating a helix as a concurrent composition of sine wave and cosine wave:
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