Did the 3 wise men see a star in the east or were they in the east and saw a star?

The three wise men were from the east as they said we have seen a star in the east and have come to follow it to look for a king.

Sounds kind of confusing but the Star of Bethlehem moved. The star rose in the east and set in the west. The 3 wise men are probably from Persia and saw the star rise while they were still in Persia. The followed the star for a long time until finally it appeared to have stop moving; that is when they arrived in the land of Judea. This moving star could have been a Supernova, Comet or something completely supernatural, but this explains why the men from the East saw a Star rise in the Wast and traveled West.

Matt 2:8-10

"After they had heard the king, they went on their way, and the star they had seen when it rose went ahead of them until it stopped over the place where the child was. When they saw the star, they were overjoyed."