It would take you about 10 minutes by car from the city center to reach Rishon's beach, which is quite nice, if crowded on weekends. Further south is "Palmachim" beach.
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This amusement park is often visited by people from Tel Aviv seeking better thrills than the ones at Luna Park Tel Aviv. While it has fewer rides, the rides it has to offer are often bigger and built more for the thrill seeker in the family. The park has two rollercoasters.
An indoor wind tunnel, where the wind blowing upwards is so strong that you can literally fly around. Open to ages 4 to 104, so they advertise.
הרובע, The quarter
Nightlife center of eastern part of city
The original well of Rishon LeTzion, dug in 1883
in "Gan Ha'ir" garden, close to municipality building