Question: Eiríksstaðir is the former homestead of Eiríkr Þorvaldsson, known as Erik the Red, in Haukadalur in the Dalasýsla region of Iceland, It was the birthplace of his son, which Norse explorer from Iceland, and the first known European discoverer of the Americas?

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Eiríksstaðir: Eiríksstaðir is the former homestead of Eiríkr Þorvaldsson, known as Erik the Red, in Haukadalur in the Dalasýsla region of Iceland.  It was the birthplace of his son Leifr Eiríksson, the first known European discoverer of the Americas.  A site thought to be that of the original farm has been investigated by archaeologists and remains of two buildings dating to the 9th–10th centuries have been identified.  An open-air museum has been established nearby.

Geysir: Geysir (] ), sometimes known as The Great Geysir, is a geyser in southwestern Iceland.  It was the first geyser described in a printed source and the first known to modern Europeans.  The English word "geyser" (a periodically spouting hot spring) derives from Geysir.  The name "Geysir" itself is derived from the Icelandic verb "geysa", "to gush", the verb from Old Norse.  Geysir lies in the Haukadalur valley on the slopes of Laugarfjall hill, which is also the home to Strokkur geyser about 50 metres south.

Leif Erikson: Leif Erikson or Leif Ericson (Old Norse: "Leifr Eiríksson" ; Icelandic: "Leifur Eiríksson"; Norwegian: "Leiv Eiriksson" 970 – c. 1020) was a Norse explorer from Iceland.  He was the first known European to have discovered continental North America (excluding Greenland), before Christopher Columbus (or possibly Saint Brendan).  According to the Sagas of Icelanders, he established a Norse settlement at Vinland, tentatively identified with the Norse L'Anse aux Meadows on the northern tip of Newfoundland in modern-day Canada.  Later archaeological evidence suggests that Vinland may have been the areas around the Gulf of St. Lawrence and that the L'Anse aux Meadows site was a ship repair station.

Thorvald Asvaldsson: Thorvald Asvaldsson (Old Norse: "Þórvaldr Ásvaldsson" ) was the father of the colonizer of Greenland, Erik the Red, and grandfather of Leif Ericson, who visited North America centuries before Christopher Columbus.  Thorvald's father was Ásvald Ulfsson, whose father was Ulf Oxen-Thorisson, whose father was Oxen-Thorir, brother of Naddodd, discoverer of Iceland.

Gudrid Thorbjarnardóttir: Gudrid Thorbjarnardóttir (Icelandic: Guðríður "víðförla" Þorbjarnardóttir) was a Norse explorer, born around the year 980 at Laugarbrekka in Snæfellsnes, Iceland.

Diogo Fernandes Pereira: Diogo Fernandes Pereira, sometimes called simply Diogo Fernandes, was a Portuguese 16th-century navigator, originally from Setúbal, Portugal.  Diogo Fernandes was the first known European captain to visit the island of Socotra in 1503 and the discoverer of the Mascarenes archipelago (Réunion, Mauritius, and Rodrigues) in 1507.  He may also have been the first European to sail east of Madagascar island ('outer route' to the East Indies).

Leifite: Leifite is a rare tectosilicate.  Tectosilicates are built on a framework of tetrahedra with silicon or aluminium at the centre and oxygen at the vertices; they include feldspars and zeolites, but leifite does not belong in either of these categories.  It is a member of the leifite group, which includes telyushenkoite (Cs,Na,K)Na(BeAlSiO) and eirikite KNaBe(SiAl)OF.  Leifite was discovered in 1915, and named after Leif Ericson who was a Norse explorer who lived around 1000 AD, and was probably the first European to land in North America, nearly 500 years before Christopher Columbus.  Eirikite was named in 2007 after Eirik Raude, or Erik the Red, (950–1003), who discovered Greenland and who was the father of Leif Ericson.  The third mineral in the group, telyushenkoite, was discovered in 2001.  It was not named after any of Leif Ericson's family members, but after a professor of geology in Turkmenistan.

Bjarni Herjólfsson: Bjarni Herjólfsson (fl.  10th century) was a Norse-Icelandic explorer who is believed to be the first known European discoverer of the mainland of the Americas, which he sighted in 986.

Haukdælir family clan: The Haukdælir were one of the family clans who controlled medieval Iceland during the period of the Icelandic Commonwealth.  Their name is derived from Haukadalur (literally, "Valley of the Hawks").  The Haukdælir traced their lineage to Ketilbjörn Ketilsson, who settled on land in Grímsnes and received a "Goðorð" in Árnesþing.  Their influence was prominent during the 10th to 13th centuries, first as progressives concerning Christianity, and later as chieftains and participants in the Age of the Sturlungs civil war.  In the 13th century, Gissur Þorvaldsson, leader of the Haukdælir, was made Jarl of Iceland by the King of Norway.

Erik the Red: Erik Thorvaldsson (Old Norse: "Eiríkr Þorvaldsson" ; 950 – c. 1003), known as Erik the Red (Old Norse: "Eiríkr hinn rauði" ) was a Norwegian Viking, remembered in medieval and Icelandic saga sources as having founded the first Norse settlement in Greenland.  The Icelandic tradition indicates that he was born in the Jæren district of Rogaland, Norway, as the son of Þorvald Ásvaldsson, he therefore also appears, patronymically, as Erik Thorvaldsson ("Eiríkr Þorvaldsson").  The appellation "the Red" most likely refers to his hair color and the color of his beard.  Leif Erikson, the famous Icelandic explorer, was Erik's son.

Supporting paragraphs: Eiríksstaðir Leif Erikson
Answer: Leif Erikson