Three Piece Hexagonal Tessellation

Topic:
Polygons
I was looking at the standard (yet beautiful) isometric rhombus tessellation in tile on some floor, and got wondering about how it would look for non-isometric parallelapipeds. Started to make it in GeoGebra and realized that of course I wanted to be able to make Escher style edge alterations. Hope you can make something pretty!
More GeoGebra at bit.ly/mh-gbb