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YouTubeNth Dimension
The True Shape of a Wave: Euler's Helix Visualized in 3D
What does a complex wave actually look like? In 1D, we usually just see flat sine or cosine waves. But those are just 2D shadows of a much more beautiful mathematical reality: a 3D spiral . In this animation from nth dimension, we visualize Euler's famous formula, $e^{i\omega t} = \cos(\omega t) + i\sin(\omega t)$. Watch as the complex 3D helix ...
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