The earliest known polyhedral projection is the
octant projection developed by
Leonardo da Vinci or his associate around 1514, which transforms the faces of an
octahedron to
Reuleaux triangles.
Bernard J. S. Cahill invented the "butterfly map", based on the octahedron, in 1909. This was generalized into the
Cahill–Keyes projection in 1975 and the
Waterman butterfly projection in 1996. Cahill's work was also influential on Fuller's Dymaxion maps: Fuller's first version, based on a
cuboctahedron, was published in 1943, and his second, based on an icosahedron, was published in 1954. In 1965, Wellman Chamberlin (also known for his
Chamberlin trimetric projection) and Howard E. Paine of the
National Geographic Society designed a polyhedral map based on the 12 equal pentagon faces of a
dodecahedron. 20 years later, Chamberlin and Paine used that polyhedral map in "Global Pursuit", a
board game intended to teach geography to children. The
quadrilateralized spherical cube was devised in 1975 for the
Cosmic Background Explorer project. The
Traveller (1977) and
GURPS Space (1987)
role-playing games use an icosahedral projection for planetary maps with a
hexagon grid. == Gallery ==