Hjörleifshöfði
Hjörleifshöfði is a 220-meter tuya cliff. Tuya is a distinctive, flat-topped, steep-sided volcano formed when lava erupts through thick glaciers or ice sheets. Hjörleifshöfði is on the southwest side of Mýrdalssandur. It's believed it formed during the last cold period of the ice age when the eruption took place under the glacier. It was probably an island in the sea in the past but has become landlocked during the settlement period with a fjord called Kerlingarfjörður. Today it's surrounded by black sands that have collected after repeated glacial runs from Katla volcano.
South of Hjörleifshöfði, a spit is named after Katla and is called Kötlutangi - the Katla spit. It was formed from a large eruption in 1918 where an enormous amount of sediment came with a sizeable glacial run from Katla. Kötlutangi - the Katla spit was the southernmost point of mainland Iceland; before the eruption, it was Dyrhólaey.
Hjörleifshöfði gets its name from the settler Hjörleifur Hróðmarsson, Ingólfur Arnarson's stepbrother. They sailed in two ships on their way to Iceland but parted ways as Ingólfur spent the winter at Ingólfshöfði and his stepbrother at Hjörleifshöfði. Hjörleifur did not live long, but he was killed along with his men by Irish slaves who followed them to the country. They fled to the Westman Islands with the women, where Ingólfur found them and killed them. On Hjörleifshöfði is a mound where it's considered that Hjörleifur is buried.
Hjörleifshöfði was inhabited till 1936, there was a farm located in the southern part of it, but it was moved there after the eruption in Katla in 1721, which destroyed the old town. The old town is located by Katla UNESCO Global Geopark's destination when you reach Hjörleifshöfði on the west side.