Archive for GeoGebra
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}^+](http://s0.wp.com/latex.php?latex=z%5En%3D%28a%2Bbi%29%5En%3Dr%5En+%5Ccdot+%5Cleft%5B+%5Ccos%5Cleft%28n%5Ctheta%5Cright%29%2Bi%5Csin%28n%5Ctheta%29%5Cright%5D%5Cmid+n%5Cin+%5Cmathbb%7BZ%7D%5E%2B&bg=ffffff&fg=000000&s=0 "z^n=(a+bi)^n=r^n \cdot \left[ \cos\left(n\theta\right)+i\sin(n\theta)\right]\mid n\in \mathbb{Z}^+")
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.
