The three wise men saw the light and followed it.
They are rightly called wise!
The Wise Men did not appeared after Jesus' birth. They were sent to find Jesus by King Herod. Herod feared Jesus would take his power and he wanted him dead. Thankfully, the Wise Men were warned about Herod's plot in a dream and took another way home to their countries, avoiding Herod.
According to one tradition, Melchior, Gaspar and Balthazar, were the three kings of the East. Melchior means "King of Light", Gaspar means "the white one", and Balthazar means "the lord of treasures. The first offered gold to baby Jesus, which is the emblem of royalty. The second, frankinsense, in token of divinity. The third, myrrh, was a prohetic symbol that Jesus would suffer and die.