Athena was the daughter of Zeusbut had no mother How was she born?

Zeus had a splitting headache and got an axe and split his head. Athena came out fully dressed with weapon and all.

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Zeus had an unbearable headache, so he called upon Heremes, the god of the messengers, to take an axe and split his head open. Athena came out as an adult, fully dressed in armor.