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There are numerous tracks around Thursday Island that are accessible to the public, and don't take very long. You can walk up to the radio tower/wind turbine for great views of the surrounding islands, and a good sunset. You can walk around the island to Sadies beach, along the road or along an elevated track that starts in the main town. Along this track you can see numerous plants, ant hills, birds, and remains of old war lookouts. Going the other way out of the main township, you can walk to Quarantine Wharf (not well marked on maps so you may have to backtrack once there). There is also a patch of rain forest near Green Hill Fort, both which are nice to walk to.