Exactly! I hate the Taylor Series explanation of Euler&#x27;s formula. &quot;Oh, just take the most analytic definitions of e^x, sin(x), cos(x), mix-n-match, and it works!&quot; All symbols, no intuition.<p>If we see each concept individually (continuous growth + rotation) we can deduce that we get something like &quot;continuous rotation&quot; or a circular orbit.<p>And if we use a complex number (a + bi, not purely imaginary i) we get a spiral pattern. Euler&#x27;s Formula becomes &quot;obvious&quot; dare I say (&quot;obvious after the greatest mathematician figured it out for us&quot;.)