The Macedonian kings claimed descent from Temenus, a name associated in previous posts with Taharqa/Peisistratos, not to be confused with Tanuatamon/Peisistratos II (also called the son of Hippocrates, "Master of the Horse"). To add to the confusion Peisistratos II had two sons by the Argive princess Timonassa, Hegeistratos ruler of the Hellespont being the more prominent, as well as a naturalized citizen of Athens.
Temenus is said to have had five sons, Ceisus, Cerynes, Phalces, Agraeus, and Hyrnetho. (Agraeus, "wild, centaur", was also the name of a son of Odysseus and Circe.) Taharqa also had prominent sons, however most if not all died before him. The first Macedonian king, Alexander, a contemporary of Xerxes in Persia, would more likely have been a grandson of Taharqa. The name Alexander was of course the same as the former crown prince of Troy, a.k.a., Paris.
The so-called Temenids having been driven out of Argos grafted themselves onto a pre-existing dynasty in Macedonia, that of Perdiccas, who had themselves grafted onto a previous line descending from Deucalian through Macedon/Makedon and Argeus. The Temeneid rulers continued to use the dynastic name Perdiccas. As we now realize, kingship was a continual process of graft and grafting!
The sister of Alexander I of Macedon was married to a high-ranking Persian. After the defeat of Xerxes, the Persian branch of the royal family maintained the bonds with their Macedonian relatives as part of the continued attempt to reconsolidate all of Greece within the larger empire. Alexander III (the Great), the firstborn son of Olympias, brought Persian policy to its logical conclusion.
Olympias claimed descent from Neoptolemus/Pyhrrus son of Achilles through her mother and Helenus son of Priam through her father. Although adopted by Phillip II, the young Alexander was sired by a Persian Great King ("Zeus") or crown prince ("Heracles son of Zeus"). In this way, the Persian kings intended to graft themselves onto the Macedonian throne. The age-old practice in fact worked, but all too well as Alexander III used Greek forces to overthrow Persia and become Greak King himself!
Theory of Eugene Borza that Macedonian Kings were not Greek:
© Charles N. Pope, US Library of Congress. All rights reserved.