The Lee conformal world in a tetrahedron is a polyhedral, conformal map projection that projects the globe onto a tetrahedron using Dixon elliptic functions. It is conformal everywhere except for the four singularities at the vertices of the polyhedron. Because of the nature of polyhedra, this map projection can be tessellated infinitely in the plane. It was developed by Laurence Patrick Lee in 1965.
Supplement No. 1 to The Canadian Cartographer 13.
Coordinates from a spherical datum can be transformed into Lee conformal projection coordinates with the following formulas, where is the longitude and the latitude:
where
and sm and cm are Dixon elliptic functions.
Since there is no elementary expression for these functions, Lee suggests using the 28th-degree MacLaurin series.
See also
List of map projections AuthaGraph projection, another tetrahedral projection, 1999 Dymaxion map, 1943 Peirce quincuncial projection, 1879 Polyhedral map projection, earliest known is by Leonardo da Vinci, 1514
References