Since this nice tumblr post [url]http://bit.ly/1irdco1[/url] I was interested in making a sketch of this important tiling. It's the origin of many proofs of the Pythagorean theorem as it admits many different dissections of the squares of the legs to make the square of the hypotenuse.

More GeoGebra at [url]mathhombre.blogspot.com[/url]