If you have the time, a hike through Marjan Park is a nice change of pace. This lush and sizeable peninsula lies to the west of the old historic center. A good way to approach the hill is by walking west along the Riva and then heading up one of the little streets that leads to a stairway. This semi-formal set of stairs winds its way through the wooded hill, and fortunately there are periodic landings to catch your breath. Keep climbing the stairs until you get to a lookout that faces east and abuts the Jewish cemetery and a cafe. There is an angled path with benches that continues westward and upward. There is another intermediate level with a quaint little chapel that is dwarfed by gracefully tall and thin pine and cypress trees. Another meandering staircase leads up to the plateau, where you can find various things like statues, basketball courts, plazas and benches. The peak tops out at about 175 meters above sea level.
The park is a very popular place with local joggers and nature hikers, who are probably used to the stunning vistas from these lofty levels. For the lazier crowd, the edges of the hill have a few rocky local beaches. There is also a local zoo on the peninsula.
Along the lower southern edges of the peninsula, you can visit the Mestrovic Gallery and the Kastellet. The Gallery was the home to Ivan Mestrovic, the most noted Croatian artist-sculptor of the 20th Century. The Gallery and the Kastellet (Mestrovic's former workshop) house a fine collection of his creations. Located at Setaliste Ivana Mestrovica 46, the complex is reachable by bus or after a long but pleasant walk along the waterfront of Split.