giant
Mundilfari
The father of the Sun and the Moon; Snorri says the gods took his children into the sky because he dared to name them after the heavenly lights.
Mundilfari is the father of the sun and moon, and that is nearly all the sources say. In Vafþrúðnismál, Odin asks the giant where the moon and the sun came from, and is told: "Mundilferi is he who begat the moon, / And fathered the flaming sun" Vafþrúðnismál 23.
Snorri builds a short story on this. Mundilfari, "a certain man", had two children so beautiful that he named his son Moon and his daughter Sun. "The gods were incensed at that insolence" and took both children up into the sky, where Sól drives the sun's horses and Máni steers the moon Gylfaginning 11. In this telling Mundilfari is not a god and not a creator; his offence is naming his children after the lights of heaven. Neither the poem nor Snorri explains how the sun and moon could exist before the children were named after them.
Mundilfari is filed here among the giants, but neither source says what race he is. Snorri calls him simply "a certain man", and the poem gives no hint. The skalds used his name in kennings: the sun is "Daughter of Mundilfari" Skáldskaparmál 26.
In the sources
Quoted from the hosted translations; each line is checked against the text when the site is built. Select a reference to read it in context.
Mundilferi is he who begat the moon, And fathered the flaming sun; The round of heaven each day they run, To tell the time for men.
A certain man was named Mundilfari, who had two children; they were so fair and comely that he called his son Moon, and his daughter Sun
How should one periphrase the sun? By calling her Daughter of Mundilfari