How do last names work in Iceland????? I've heard they do something weird with them

How do last names work in Iceland????? I've heard they do something weird with them?

Baby Names - 3 Answers
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1 :
Surnames, which exist from generation to generation in other European cultures, are rare in Iceland. In Iceland, the father's first name is used as the base to the child's last name. For example, Baldur Þórsson and Freyja Óðinsdóttir have two children, Kristín and Björn. The children's last names would be Kristín Baldursdóttir and Björn Baldursson. It is also possible to make a last name using the name of the mother, but it is uncommon.
2 :
Your last name would be your father's name followed by either son or dottir (daughter in Icelandic). For example: If your father's last name is Stefan, your last name would be either Stefansson or Stefansdottir, depending on your gender. Obviously, if you're a girl you're Stefansdottir (aka Stefan's daughter), a boy, Stefansson (Stefan's son). It's very rare to have a family name - most family members will have different names. Oh, and women don't take their husband's last name when they get married. Everyone just keeps their surname.
3 :
In Iceland surnames are usually formed by taking the first name of one's father, putting it in the genitive and adding "son" (which means "son") or "dóttir" (which means "daughter") behind it. So if a woman has a father named Gunnar, her surname will be Gunnarsdóttir. If a man has a father named Gunnar, his surname will be "Gunnarsson". So siblings don't always have the same surname and their parents have surnames that are made out of THEIR fathers' names, so in a family of four you might have four different surnames. It is allowed to use the first name of one's mother instead of the father, but it's not very common. There do exist a few family names in Iceland that are passed on from generation to generation, but they are not very common, there are only a few families in Iceland that still use them. People in those families can choose whether they use their family name or whether they form their surname from the name of a parent like most people do. People don't get the surname of their spouse when they get married. We generally keep the same surname all our life.