A 10-minute walk from Republic square will get you to Kopitareva Gradina, a rectangular shaped small park and square bounded by one or two-storey houses and buildings, leftovers of an old Belgrade which disappears.
This is what it looked like a hunderd years ago, literally. You can sit on a bench and feel the atmosphere of an untouched old town, with moderate houses built predominantly in the style of strict classical academism.
Here lived Jovan Cvijić, famous Serbian scientist, founder of modern geography in Serbia, in a house that is now converted into a museum, so you can visit it by the way and see the precious collection of his maps, books, handwritings and other personal belongings, but also you can witness one richly ornamented and decorated home interior.
Jovan Cvijić Museum House
Many of the renowed Serbian persons, like scientists, artists, or writers, lived there, and not by chance. For example, one of Serbia's greatest sculptors, Petar Palavičini, built his house there. His studio was a true cultural centerpoint of the city between two world wars. There is something impressive about this surroundings. And it is on your way, passing Politika square, down Hilandarska street, to give it a rest for a little bit before you continue further towards bothanical garden of "Jevremovac" via George Washington street for a stop by a true architectural jewel of the First Town Hospital, built in 1868 in a gothic style.
Still, in Belgrade exist a couple of more places like this one, that guards the spirit of an old town. The nicest one being probably Kosančićev Venac, which is, in addition, positioned in a wonderful surroundings of Belgrade Fortress, the building of the Patriarchate, Princess Ljubica Residence, Cathedral Church of St. Michael and King Peter's street.