Wait this is just regular Turkish ice cream. Normally for tourists (and outside Turkey) they serve it in a cone. I've never actually had it on a plate.
Turkish here. It's hard to believe, but there are different kinds of ice cream in Turkey.
The average ice-cream ("dondurma" in Turkish) you'd get in Turkey is the one you expect: sorbet or gelato, usually in a cone. It's what you'd get when you ask for an ice-cream at a random place.
The one described in this post is a specific kind of ice-cream we call "ice-cream from Maraş" ("Maraş dondurması" in Turkish). Which is great - but the post makes it sound like it is "the Turkish ice-cream" which is a bit misleading. You don't find it everywhere.