Beer Sheva's river is dry except during occasional winter flash floods, but this park contains an artificial lake where one can rent a small boat, along with other recreation opportunities.
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Located just outside of the city on the Road to Eilat, this market takes place every Thursday morning. Bedouin merchandise can be found next to a wide array of other products.
Located outside the city to its east (next to Omer), this archeological park is a World Heritage Site and one of the top sites to explore how people have lived in Biblical times.
Mishkan HaTechelet is a Judaica company which manufactures items such as tallits and tefillin. They offer an hour-long tour of the factory where you can see these items being made. The tour is reputed to be very interesting, at least if you have some background in Jewish practice and know a little bit about the items already. Tours might only be in Hebrew. Call/email ahead of time to definitively reserve a visit.
Located between the Old Town and the central bus station is a vibrant market for any kind of merchandize.
Located at the edge of the Old Town and on the Wadi Beer Sheva, this small site contains the well where according to tradition Abraham made the oath with Abimelech.
The Old Town was planned by Turkish and German engineers at the end of the 19th century. Its streets form a grid (very uncommon in the region). Many buildings date from Turkish times and have secret gardens behind high walls. Rehabilitated Smilansky Street has the best preserved buildings. Additionally there is a wide array of cheap stores and excellent ethnic restaurants and bars.