It won't ever be truly proven.
the star
According to biblical text - they were 'led' by a star.
the magi...the three wise men who visited baby Jesus I would have guessed it to be Mary, Joseph and Baby Jesus.
The star on top of a Christmas Tree represents the Star of Bethlehem which guided the shepherds and the three wise men to the stable and baby Jesus.
It is not known in the bible, which king gave which gift, or their names.
If you are referring to The Holy Bible , the 'people' are the three wise men from far east. A bright star guided them all the way to the stable where baby Jesus was conceived. Those wise men were probably good in astronomy. They claimed " a new star is born" i.e, baby Jesus.
the three wisemen
Kings (The bible talks of the three Kings of Orient who brought gifts to baby Jesus, also known as the three wise men).
three
He received three: gold, frankincense, and myrrh.
gold incense and myrrha
it led the three kings to the jesus baby