Epiphany comes from a Greek verb meaning "to reveal," and all of the various events celebrated by the Feast of the Epiphany are revelations of Christ to man.
The Feast of Epiphany calls us to contemplate our own creation and its orientation to our new creation in Christ Jesus. While we may at first be drawn to thoughts of the three gifts of gold, frankincense, and myrrh, the true gift of Epiphany is Christ’s gift of himself for our salvation. Therefore, the three gifts offered by the Magi should only be representations of our own gift of self to the Lord.