Þykkvibær

Þykkvibær (), also known as Þykkvabær , is a village in South Iceland, part of the municipality of Rangárþing ytra. It is the oldest rural village in Iceland. As of January 2021 there are 79 inhabitants.

==History== The settlement is first mentioned in church records in , and was the first rural village in Iceland, and for more than 900 years the only one. Located in the estuary between the rivers Þjórsá and Hólsá, it was subject to encroachment and to being cut off by floodwaters and had a fluctuating, partly seasonal population. Fishing was traditionally a significant part of the village economy, drawing crew from inland to work on the boats, but stopped from 1896 to 1916 after the fleet was destroyed, and ended permanently after March 1955, when a boat with 11 men aboard capsized on emerging from the channel into the open sea; no one was killed, although six were trapped under the overturned boat and had to be rescued.