The projection seems closely related to some examples which use a Tetrahedron as projection surface. But according to the description of the process they used s

The projection seems closely related to some examples which use a Tetrahedron as projection surface. But according to the description of the process they used some sort of sub-tiled Triakis tetrahedron[1] as intermediate projection surface. This "inflation" process then rounds off the original tetraeders edges and mitigates maximum angle distortion to the four corners of the tetraeder, which can be conveniently placed in places where they are far way from land masses to distort. To get the rectangular final shape one of the 4 triangular-surfaces is split into two and rotated to the neighboring sides. (Much like that one triangle south of Australia on a Dymaxion map) Tetrahedric class projections: conformal: - Lee Tetrahedric projection -- http://www.csiss.org/map-projections/Miscellaneous/Lee_Conformal_Tetrahedric.pdf http://www.csiss.org/map-projections/Miscellaneous/Lee_Confo... - Snyder's Tetrahedron (Conformal) -- http://www.csiss.org/map-projections/Polyhedral_Globes/Tetrahedron_Conformal.pdf http://www.csiss.org/map-projections/Polyhedral_Globes/Tetra... equal-area: - Snyder's Tetrahedron (Equal-Area) -- https://www.mapthematics.com/ProjectionsList.php?Projection=217 https://www.mapthematics.com/ProjectionsList.php?Projection=... -- http://www.csiss.org/map-projections/Polyhedral_Globes/Tetrahedron_Equal_area.pdf http://www.csiss.org/map-projections/Polyhedral_Globes/Tetra... gnomonic: - including a primer on Tetrahedral Pseudoglobes by Carlos A. Furuti -- on prognos.com (currently unreachable) http://www.progonos.com/furuti/MapProj/Normal/ProjPoly/Foldout/Tetrahedron/tetrahedron.html http://www.progonos.com/furuti/MapProj/Normal/ProjPoly/Foldo... -- cached: https://web.archive.org/web/20150322140625/http://www.progonos.com/furuti/MapProj/Normal/ProjPoly/Foldout/Tetrahedron/tetrahedron.html https://web.archive.org/web/20150322140625/http://www.progon... [1] https://en.wikipedia.org/wiki/Triakis_tetrahedron https://en.wikipedia.org/wiki/Triakis_tetrahedron