A periodic Tessellation by an Irregular Pentagon

This is the starting point: an irregular pentagon, obtained from a square by cutting off a corner.

A simple tessellation of a plane surface is the following:

A more complex, and more nice, tessellation, which alterns octagons and "hour-glasses"... is the following:

And now, let's color it!!!

Starting with a pentagon coloured like the following one

... we can obtain a nice tessellatin in the Islamic "Alhambra" style !!!