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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
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.
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°. Coastlines precise to 110 km. Width: 1600: Height: 897.998
Cahill butterfly, conformal version of the projection. 15° graticule, 157°30′E central meridian. From cover of 1919 pamphlet by Cahill, "The Butterfly Map" , 8 p. Bernard Joseph Stanislaus Cahill ( London , January 30, 1866 - Alameda County , October 4, 1944 [ 1 ] [ 2 ] ), American cartographer and architect , was the inventor of the ...
The Dymaxion map projection, also called the Fuller projection, is a kind of polyhedral map projection of the Earth's surface onto the unfolded net of an icosahedron. The resulting map is heavily interrupted in order to reduce shape and size distortion compared to other world maps , but the interruptions are chosen to lie in the ocean.
But meanwhile, Waterman's butterfly projection has been published and in print since 1996, with newer versions being issued. Meanwhile, the completed Waterman maps of 1996 and 2010 are on my wall, adjacent to my outdated 1975 Replogle globe, and outdated Dymaxion maps of 1954, 1967, and 1980 -- which were also evolving and in progress, by the way.
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 ...