This case in the beautiful Ny Carlsberg Glyptoteket, Copenhagen is fondly knows as the Nasothek—the gallery of noses. (Although there are a few ears in there too.) These facial parts were once added onto ancient portrait sculptures in the modern period in order to fill in the missing parts. This was common practice in past centuries, when ancient art was considered best when flawless. Noses, as a protuberant and thus frequently knocked-off piece of sculpture, were restored by the dozens.
Nowadays, however, the principle of object care has changed. Instead of restoring ancient sculpture to make it look perfect, museums consider their primary task to preserve what they have as best they can. This means no more gluing on modern additions, rhinoplastic or otherwise. In fact, it can even mean removing those additions from previous centuries. This was the Glyptoteket's decision, resulting in a lot of loose noses rattling around in a storage box somewhere. Why not display them in a striking array and thereby tell a bit of the history of modern receptions of ancient art? Still better with a Roman portrait head next to it, its own nose and brow additions removed, thus telling most of the story at the very first glance.