## An Imaginary Tale: De Moivre’s Formula in a Gif

I’ve been reading the book, An Imaginary Tale: The Story of i [the square root of minus one] by Paul J. Nahin and it’s really interesting!  I’m almost to chapter 4 and so far it’s been introducing some nifty ideas about complex numbers.  Among the content, we find a very convenient way of calculating the value of a complex number when multiplied by itself an integer amount of times.  That is, $z^n=(a+bi)^n=r^n \cdot \left[ \cos\left(n\theta\right)+i\sin(n\theta)\right]\mid n\in \mathbb{Z}^+$.  This is De Moivre’s Formula.

## Creativity Meets Math

Screen capture using Circular Design Maker

Ever wonder if there’s any creativity in logic and math?  Do left-brained people struggle to be creative?  Where does creativity and logic come from?

Try out my Circular Design Maker.
* This seems to work better with the Mozilla Firefox browser

I was curious what it would look like if rotated rotating points around center points around another center point.  LOL. Try saying that 5 times fast!

Using GeoGebra, I made this worksheet for us to see.

Try making some designs and take pictures of them!

Creativity and Logic come from Curiosity.