There are towers associated with Rigena in various parts of Cyprus. One of these towers, according to local traditions, appears to be at the top of Akamas, west of the well-known site of the Baths of Venus. However, after archaeological research, it was discovered that the tower was ultimately the remains of a Byzantine monastery. The monastery that still bears the name of "Rigena's Tower" is in a magnificent valley, unseen by the sea, probably not an easy target for pirates. It is a rectangular stone building with wings on all sides. The temple, located in the center of the inner courtyard, was a single-aisled church, which appears to have been frescoed. The monastery dates back to the 11th to 12th centuries, when many monasteries were founded on the island, while various alterations and additions appear to have taken place during the Frankish period.