Dreamless discussion

Can anyone summarize the ending of the book where all the houses become intertwined? I'm confused about who (Helen,Luke,Orion) belongs to which house, especially Helen because we don't know who her father is. if anyone could clear that up for me, it would be greatly appreciated.

Well we know Lucas' house and then there's the one that Helen belongs to because of her mother. Orion belongs to the other two houses. Sorry I can't tell you the exact names of the houses, if I did I'd probably confuse them.

Lucas is from Thebes. Helen and her mother are from Atreus. But because they thought that Ajax was Helen's father they thought she was also from the house of Thebes (making her and Lucas cousins). Orion is from two houses because his father is from the house of Athens and his mother is from the house of Rome. They were only able to fall in love because they saved each others lives (they beat the fates) just like Daphne and Ajax and Helen and Lucas.
I hope this helps, if you have other questions just ask!