Guy at the LFS said it is "Sort of like a Brain Coral". I should have pushed him to be specific, but didn't. I really love this guy, but want to know exactly what I am dealing with.
may need to see the skeleton part for better identification. However, these guys are temperamental, so don't just go picking it up and flipping it around. :)
I'm going with acanthophyllia (meat coral). I am not inclined to touch him - he looks quite happy right where he is. Here is pic after 24 hours. Looks great!