Also allows fishing.
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Old Battleground Rd in North Greensboro. A beautiful park with jogging/bike trails, a small visitors center, and interesting information on the revolutionary war battle that occurred there. There is also a yearly reenactment of the battle on the weekend closest to March 14th.
Natural Science Center
A natural history museum geared towards children with many interactive exhibits and a small but excellent zoo. The museum features geology, paleontology, and astronomy exhibits among others and the zoo houses everything from reptiles and farm animals to tigers and monkeys.
The oldest continually-operating dinner theatre in the country. Buffet dinner and a live show (seat-only tickets may be available if you don't want dinner). No vegan options.
Community urban greenspace on the edge of downtown, with a large orchard and gardens