This is for the birds…..
Symbols of the church include among other things, a 2 headed eagle and a peacock.
Double-headed eagle emblem. The head on the left (West) symbolizes Rome, the head on the right (East) symbolizes Constantinople. The cross and orb in the claws symbolize, respectively, spiritual and secular authority.
The Peacock is a symbol of Paradise, Resurrection and immortality from ancient times. It frequently appears carved on the iconostasis and in icons of Paradise.