'Re-create this dynamic animation to discover the mathematics behind it'
This is one of three activities, similar in nature, for exploring transformations. Mathematics has always been deeply dynamic and technology now allows us to explore mathematics through different dynamic scenarios. This activity is a great example of one such scenario. Without giving too much away, the aim of this activity is to watch the animation, figure out what mathematics is behind it and then re-create it! The structure is a beautifully simple bit of geometry made by combining and repeating some simple procedures. Once the animation is understood then it serves as an excellent tool for investigating and understanding how the mathematics behaves as certain parameters are changing.
Watch carefully what happens in the video! What changes? How does it change? What could be causing the change? How is the situation set up?
Here is the kaleidoscope animation! (no sound)
The following is a brief outline of the activity