# Matsuyama Paradox

- Author:
- John Golden

Seen at the Futility Closet: http://www.futilitycloset.com/2015/04/29/no-vacancy/
The seeming paradox is that you can rotate the corner quadrilaterals and make a new square that's the same size - without the middle piece. The illusion is only good for small center squares, of course. Where does the area 'go'?
I made this to play around with the paradox and was surprised. Each different size center square has a specific angle at which the corner pieces make a square without a gap. What determines that angle?

More GeoGebra at bit.ly/mh-ggb