its on live rock yes, from a specialized tropical fish shop, not sure of origin. i dont think it breaks apart easy, havent touched it. one of my hermit crabs walked on it and it just kinda squished indented where its leg was on it. i cant give you a picture i dont have a scanner or a digital camera unfortuneately, sorry.
it resembles a pillow in many ways, but it does have visable veins/branch like things in it. and its bright white.