If you check a map you’ll see that Olomouc’s parks encircle the city where the fortified walls used to be. In Bezrucovy Sady a large fragment of the old walls is still standing and you can climb up to the ramparts to walk between a couple of the towers.
This park is also decorated with statues, the oldest of which are four baroque sculptures of Hercules from 1757.
Smetana is a more formal park, with a long and elegant avenue flanked by tall and perfectly-trimmed hedges. You can track down the stately pavilion here for a cup of coffee at the cafe, or potter around the botanical greenhouses belonging to Palacky University.