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The Ottonians were known to intermarry with the Byzantines, and Otto III, who was raised by his Greek mother, was betrothed to the Byzantine princess Zoe, who reigned as Byzantine Empress OTL. Would children born from this union bring the two empires together, perhaps with one brother ruling the Byzantine Empire and the other ruling the Holy Roman Empire? What would be the implications of one dynasty ruling over both empires, as well as what I'd assume would be a resultant legitimization of the HRE in the eyes of the Byzantines? How would this affect culture down the line, and would the two emperors aid each other in wars, against rebellions or invasions, i.e. the Turks?
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