Visualizing Euler's formula.

[anywallsocket]

You need to plot a function to prove your point. Here, x becomes r, and y becomes theta, so if anything you’ve just mapped (x, y) to (r, theta), which gives no intuition about Euler’s formula.

[sophsofsoup]

This is beautiful and so helpful thank you

[JoelRosenfeld]

These are neat, but way too short to give any idea of what’s going on unless you know already.

Have you considered rendering these in vertical format? A short video like this might perform ok as a YouTube short.

[AKfire]

Its awesome.. share the code plz.. Its amazing..

[approachtotruthbysciencean]

As I watched the coordinates change in this video, I felt a universe where micro and macro continued to repeat. Actually Einstein's equation has π and Schrödinger's equation has i. Is it not possible to obtain a God equation that connects micro world and macro world from Euler's formula? The equation of the fractal universe may be gotten.

[wrog]

That’s cool it and makes so much sense now

[pelasgeuspelasgeus]

Stop parotting and start thinking. Left side is exponential function which gives values from 1 to infinity. Right side is the addition of 2 trig functions and each gives values from -1 to 1. So, first how can these sides be ever equal?

[Nano-Tec_a]

WTF is j now ??
i know that i = square root of -1 but tf is j now ?