Have you every poured some Maple Syrup on some fresh snow? That will pull out a tooth.
It seems that the invention of ice cream (or, maybe at first, sherbet) was somewhere in the Middle East. Then somebody added more luxurious ingredients (Bastani).
It is easy to forget that there is plenty of snow and ice in Lebanon and northern Iran. This stuff can be transported. In much more contemporary times, schooners from New England used to transport blocks of Cape Cod pond ice to India. There is still a business called Cape Pond Ice.