Dayr al Hayek means "the monastery of the weaver" and is a cave south of Deir Mar Musa. The archaeological evidence found in the cave suggests that it was inhabited by a hermit in the early phase of the monastery when it was a lava. This means that the monks lived in cells/caves around the central monastic buildings and came together only for communal prayer at specific times. The cave was named due to the fact that a loom was discovered there. A new building now envelops the cave as an annexe to the main monastery of Deir Mar Musa.
Davit Gareja is the name given to a complex of monasteries in the semi-desert on the Georgian-Azeri border. It refers specifically to the largest and most important of the monasteries, the Lavra, which has been re-established since the fall of communism. The Lavra dates from the C6th onwards and is associated with Davit Garejeli who is considered the most important (and possibly the leader of) the Thirteen (As)Syrian Fathers.