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The Waterman "Butterfly" World Map is a map projection created by Steve Waterman. Waterman first published a map in this arrangement in 1996. The arrangement is an unfolding of a polyhedral globe with the shape of a truncated octahedron, evoking the butterfly map principle first developed by Bernard J.S. Cahill (1866–1944) in 1909
Waterman butterfly projection: Polyhedral Compromise Steve Waterman: Projects the globe onto a truncated octahedron with symmetrical components and contiguous land masses that may be displayed in various arrangements. 1973 Quadrilateralized spherical cube: Polyhedral Equal-area F. Kenneth Chan, E. M. O'Neill 1943 Dymaxion map: Polyhedral Compromise
Short title: Waterman Butterfly map of the world – coastlines, graticule, and indicatrices: Image title: A map of the world, showing all landmasses with 10° graticule and Tissot's indicatrices of diameter 1,000 km and spacing 30°.
In the same work as the hemisphere-in-a-square projection, Adams created maps depicting the entire globe in a rhombus, hexagon, and hexagram. [7] [8] Bernard J. S. Cahill invented the "butterfly map", based on the octahedron, in 1909. This was generalized into the Cahill–Keyes projection in 1975 and the Waterman butterfly projection in 1996.
In cartography, a conformal map projection is one in which every angle between two curves that cross each other on Earth (a sphere or an ellipsoid) is preserved in the image of the projection; that is, the projection is a conformal map in the mathematical sense. For example, if two roads cross each other at a 39° angle, their images on a map ...
[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 is a necessary step in creating a two-dimensional map and is one of the essential elements of cartography.
Equirectangular projection of the world; the standard parallel is the equator (plate carrée projection). Equirectangular projection with Tissot's indicatrix of deformation and with the standard parallels lying on the equator True-colour satellite image of Earth in equirectangular projection Height map of planet Earth at 2km per pixel, including oceanic bathymetry information, normalized as 8 ...
Goode homolosine projection of the world. Tissot indicatrix on Goode homolosine projection, 15° graticule. The Goode homolosine projection (or interrupted Goode homolosine projection) is a pseudocylindrical, equal-area, composite map projection used for world maps. Normally it is presented with multiple interruptions, most commonly of the ...