It is Charlie Hilton Jr.'s house. He has no relation (as far as I know) to Hilton Hotels. He actually owns one of the largest concrete factories (hence the massive amount of concrete on the house) in the country.
The name of the house is "Bird in Flight." It is supposed to look like a bird from an ariel view. The house is made to withstand something like 220mph sustained winds...so basically indistructable. He has been building it for atleast 12 years. It is not located in Alys Beach but is a seperate community. The house right next to it, which used to look huge and now is small in comparison, is Michael Jordan's house.
My family has a house at Rosemary Beach, just a few blocks down.