Greece
A cobbled path uphill from the port town to the hilltop Monastery, via the Convent of the Apocalypse. Shaded in parts, it's not too taxing, although best avoided in the midday heat.
The higher you go, the better the views get - you can easily make out nearby islands, approaching cruise ships and abandoned windmills.
About a kilometre out of Skala, along the Chora road (it's signposted)
At Grigos there is a rock about 10 metres high. Around this rock there are foundations of an ancient temple. This seems to imply that during the ancient times the rock had some religion significance. The beach of Grigos is beautiful for swimming but so also are the nearby beaches of Psili Ammos and Diakofti. Kampos is around 11 km north of Patmos town.
The uncrowded beach is shaded by tamarisk trees and there is a taverna and a restaurant a short distance from the water's edge.
The monastery, which can be reached on foot by way of an ancient pilgrim's way, is a functioning spiritual centre of the Greek Orthodox church. Its collection of treasures, well worth seeing.
In the Dodecanese islands by boat from Kos, Leros or the north.
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