page_title: Lee conformal world in a tetrahedron
hierarchical_section_title: Lee conformal world in a tetrahedron
caption_attribution_description: English: The world on Lee Tetrahedral projection, with central meridian of 22.5°W. 15° graticule. Imagery courtesy NASA’s Earth Observatory, with modifications by Mapthematics LLC.
context_page_description: The Lee conformal world in a tetrahedron is a polyhedral, conformal map projection that projects the globe onto a tetrahedron using Dixon's elliptic functions. It is conformal everywhere except for the four singularities at the vertices of the polyhedron. Because of the nature of polyhedrons, this map projection can be tessellated infinitely in the plane. It was developed by L. P. Lee in 1965.
  Coordinates from a spherical datum can be transformed into Lee conformal projection coordinates with the following formulas, where α is the longitude and σ the angular distance from the pole:
  where
  and "sm" and "cm" are Dixon's elliptic functions.
  Since there is no way to directly compute these functions, Lee suggested the use of the 28th degree MacLaurin series.
context_section_description: The Lee conformal world in a tetrahedron is a polyhedral, conformal map projection that projects the globe onto a tetrahedron using Dixon's elliptic functions. It is conformal everywhere except for the four singularities at the vertices of the polyhedron. Because of the nature of polyhedrons, this map projection can be tessellated infinitely in the plane. It was developed by L. P. Lee in 1965.
  Coordinates from a spherical datum can be transformed into Lee conformal projection coordinates with the following formulas, where α is the longitude and σ the angular distance from the pole:
  where 
  and "sm" and "cm" are Dixon's elliptic functions.
  Since there is no way to directly compute these functions, Lee suggested the use of the 28th degree MacLaurin series.
caption: Lee conformal tetrahedric projection of the world centered on the south pole.
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