Archive for GeoGebra

Parametric Spiral Ball Animation with GeoGebra 5

This is that neat thing I said I was working on in GeoGebra 5.  I wanted to come up with a mathematical model that described this metal mixing ball. After playing around with some formulas and testing out properties, I chose some constants for a, n, and d for the base image.  For each frame p, GeoGebra took a “screen capture” of the curve after all t units in the domain [-π, π] were mapped.  This is the formula I came up with:

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I’m so excited to check out GeoGebra5. I just find it very ironic that the day it is released is the same day I’m admitted to the hospital.

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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.

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Creativity Meets Math

Screen capture using Circular Design Maker

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.

GeoGebra: The Math App of a Lifetime


One of the greatest mathematics programs I’ve ever used is GeoGebra.  If you have not tried out this app or at least seen examples of the awesome, interactive worksheets students, teachers, or anyone interested have made, you are missing out.

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