Snyder equal-area projection is a
polyhedral map projection used in the ''
ISEA (Icosahedral Snyder Equal Area)
discrete global grids''. It is named for John P. Snyder, who developed the projection in the 1990s.
[
Snyder, J. P. (1992), “An Equal-Area Map Projection for Polyhedral Globes”, Cartographica, 29(1), 10-21]
urn:doi:10.3138/27H7-8K88-4882-1752
It is a modified
Lambert azimuthal equal-area projection, most often applied to a
polyhedral globe consisting of an
icosahedron
In geometry, an icosahedron ( or ) is a polyhedron with 20 faces. The name comes and . The plural can be either "icosahedra" () or "icosahedrons".
There are infinitely many non- similar shapes of icosahedra, some of them being more symmetric ...
.
[
PROJ guide's "Icosahedral Snyder Equal Area"]
proj.org/operations/projections/isea.html
[
D. Carr ''et al.'' (1997),]
ISEA discrete global grids
; in "Statistical Computing and Statistical Graphics Newsletter" vol. 8.
Use in the ISEA model
As stated by Carr at al. article,
page 32:
: ''The S in ISEA refers to John P. Snyder. He came out of retirement specifically to address projection problems with the original EMAP grid (see Snyder, 1992). He developed the equal area projection that underlies the gridding system.
:
: ''ISEA grids are simple in concept. Begin with a Snyder Equal Area projection to a regular icosahedron (...) inscribed in a sphere. In each of the 20 equilateral triangle faces of the icosahedron inscribe a hexagon by dividing each triangle edge into thirds (...). Then project the hexagon back onto the sphere using the Inverse Snyder Icosahedral equal area projection. This yields a coarse-resolution equal area grid called the resolution 1 grid. It consists of 20 hexagons on the surface of the sphere and 12 pentagons centered on the 12 vertices of the icosahedron.''
References
{{cartography-stub
Equal-area projections