Do you like convertibles?
Yeah, it's also called cabri olet for that body style of a car where the top can convert to open or enclosed. 
Interesting, is this restricted to luxury cars alone? because i see that it's not every car brand  that have a cabri olet
Some are semi convertibles, and they were called cabrio coach. 
Fantastic information, do you know what year the first ones were made?
No, There is also coach convertibles that were built by coachbuilders
Ok cool. Which automobile company make the most of these?
That style was abandoned in the late 70's when the federal crash regulations made it seem impossible to build convertibles,