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In cartography, a map projection is any of a broad set of transformations employed to represent the curved two-dimensional surface of a globe on a plane. [1][2][3] In a map projection, coordinates, often expressed as latitude and longitude, of locations from the surface of the globe are transformed to coordinates on a plane. [4][5] Projection ...
A family of map projections that includes as special cases Mollweide projection, Collignon projection, and the various cylindrical equal-area projections. Depending on configuration, the projection also may map the sphere to a single diamond or a pair of squares. Hybrid of Collignon + Lambert cylindrical equal-area.
Gall–Peters projection. The Gall–Peters projection is a rectangular, equal-area map projection. Like all equal-area projections, it distorts most shapes. It is a cylindrical equal-area projection with latitudes 45° north and south as the regions on the map that have no distortion. The projection is named after James Gall and Arno Peters.
The projection is a diffeomorphism (a bijection that is infinitely differentiable in both directions) between the sphere (minus (0, 0, 1)) and the open disk of radius 2. It is an area-preserving (equal-area) map, which can be seen by computing the area element of the sphere when parametrized by the inverse of the projection. In Cartesian ...
Robinson projection of the world The Robinson projection with Tissot's indicatrix of deformation Map of the world created by the Central Intelligence Agency, with standard parallels 38°N and 38°S. The Robinson projection is a map projection of a world map that shows the entire world at once. It was specifically created in an attempt to find a ...
Interruption (map projection) An azimuthal projection showing the minimal interruption possible: one point, which, in this case, is the south pole that has turned into a ring around the entire map. In map projections, an interruption is any place where the globe has been split. All map projections are interrupted at at least one point.
A conformal projection can be defined as one that is locally conformal at every point on the map, albeit possibly with singular points where conformality fails. Thus, every small figure is nearly similar to its image on the map. The projection preserves the ratio of two lengths in the small domain. All of the projection's Tissot's indicatrices ...
Political map of Earth. A map is a symbolic depiction of relationships, commonly spatial, between things within a space. A map may be annotated with text and graphics. Like any graphic, a map may be fixed to paper or another durable medium, or may be displayed on a programmable medium such as a computer screen. Some maps change interactively.