Escherized Tessellation

What can you tell about this tessellation?[br]What motions move one tile onto its neighbor?[br]What is the underlying shape before it was modified? How do you know?
Escherized Tessellation
More GeoGebra at [url]mathhombre.blogspot.com[/url].[br]Base tessellation at [url]http://www.geogebratube.org/material/show/id/28859[/url]

Information: Escherized Tessellation