Lee conformal world in a tetrahedron

The Lee conformal world in a tetrahedron is a polyhedral, conformal map projection that projects the globe onto a tetrahedron using Dixon elliptic functions.

Because of the nature of polyhedra, this map projection can be tessellated infinitely in the plane.

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.

Conformal Projections Based on Elliptic Functions.

Lee conformal tetrahedric projection of the world centered on the south pole.
The Lee conformal world in a tetrahedron with Tissot's indicatrix of deformation .
Lee conformal tetrahedric projection tessellated several times in the plane.