The walk to Belvedere too us through the Resselpark, past Karlskirche, and the Soviet War Memorial commemorating the victory of the Soviets over the Nazis at the end of WWII. One thing we didn't have a whole lot of time for in Vienna (and had already seen a lot of in other cities) was WWII history. If we ever get back there, we will definitely take some time to explore that history.
Then we headed to Belvedere, which was somewhat disappointing. At one point, it was a summer residence for a prince, now, though, it's an art museum. Lame. But, the grounds were gorgeous!!
From there, we decided to head back to Naschmarkt and get food for a picnic lunch. There is a really big Turkish influence in Wien (because the Turks took over several times) so the market was full of Mediterranean foods as well as produce, dried stuff, spices, and restaurants. We got some fruit, hummus, falafel balls, tatziki, olives stuffed with sheep cheese, and bread and it was delicious! Naschmarkt was also awesome! I would shop there all the time!
The interesting parts of Wien are mostly located within or very near a central ring (the location one of the old city walls). After lunch, we headed to the northern part of the ring and walked southwest to see Votivekirche, Sigmund-Freud Park (with a memorial to the creation of the EU - I think), Rathauspark, and Museum Quarter.
Then, we headed back to our hotel to rest a bit before heading to dinner. We had dinner at Griechenbeisl. L had a traditional Tafelspitz (boiled beef) and I had Zwiebelrostbrate (roast beef with mushroom/onion sauce and fried onions). It was tasty!