A googol is usually estimated to be at least 45 orders of magnitude higher than the total number of subatomic particles in the observable Universe[?]. So a physical googolhedron the size of the entire observable universe would still be subatomically smooth. Of course, making something subatomically smooth isn't neccesarily possible, so googolhedrons aren't particularly possible either.
wikipedia.org dumped 2003-03-17 with terodump