Eulers Spiral and the Zylinder - page 2

Continued from Page 1

I have extended Euler's ideas to fit on and within my zylinder or complex cylinder.
This allows for two complex waves to form a REAL wave! It may also work in reverse fashion to resolve a real wave into its imaginary component wave parts.
We start by looking at 4 boxes that give pwer series that were manipulated by Euler.

In the images Euler Spiral and Zylinder 1 and 2 I associate the powers of x with wavelength positions (that can be projected onto a zylinder).
The value of x becomes the imaginary unit i and its power represents an angle of rotation.

Continued on Page 3