In 1960 Peru issued
an airmail stamp with a world map on the back of a Peruvian cormorant
flying over the ocean. It was issued to mark the International Pacific
Fair in Lima, Peru.
The "projection" is
vaguely like the Lee conformal tetrahedric projection, or Adams
conformal rhombic projection, but it appears to me to be most like
Barlow's tetrahedral projection. The angles have to be modified to put
the projection on the cormorant's back, so the map is not really on
any projection. It is, nevertheless, an interesting concept.