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# Topic: Winkel Tripel Projection

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 Winkel Tripel projection - Wikipedia, the free encyclopedia The Winkel's Tripel projection is a map projection developed to show a map of the round Earth on flat paper with minimal distortion. It was devised by the cartographer Oswald Winkel as a modification of the Aitoff projection. Winkel choose the name Tripel because he had developed a compromise projection; it does not eliminate area, direction or distance distortions; rather, it tries to minimize the sum of all three. en.wikipedia.org /wiki/Winkel_Tripel_projection   (255 words)

 Map projection A map projection is any of many methods used to represent the 3-dimensional surface of the earth or other round body on a 2-dimensional plane in cartography (mapmaking). Azimuthal[?] projections touch the earth to a plane at one tangent point; angles from that tangent point are preserved, and distances from that point are computed by a function independent of the angle. Cordiform projection[?] designates a pole and a meridian; distances from the pole are preserved, as are distances from the meridian (which is straight) along the parallels. www.ebroadcast.com.au /lookup/encyclopedia/ma/Map_projection.html   (1619 words)

 Robinson projection - Wikipedia, the free encyclopedia Presented by Dr. Arthur H. Robinson in 1963, it is classified as a pseudo-cylindrical projection by reason of its straight parallels, along each of which the meridians are spaced Karenthe way he developed the projection as a series of trials, iterating until he settled on the meridian shapes and parallel spacing most pleasing to him. He developed the projection under commission from Rand McNally because they were not satisfied with the ability of existing projections to create intuitive depictions of the entire world. The projection is neither equal-area nor conformal, abandoning both for a compromise the creator felt produces a better overall view than could be achieved by adhering to either. en.wikipedia.org /wiki/Robinson_projection   (562 words)

 Map Projections: From Spherical Earth to Flat Map A projection that maintains accurate distances from the center of the projection or along given lines is called an equidistant projection. A projection that maintains accurate directions (and therefore angular relationships) from a given central point is called an azimuthal or zenithal projection. Polyconic projection A conic projection projects information from the spherical Earth to a cone that is either tangent to the Earth at a single parallel, or that is secant at two standard parallels. nationalatlas.gov /articles/mapping/a_projections.html   (2154 words)

 Winkel Tripel Projections The Winkel Tripel is unusual in that it is created by averaging the X and Y coordinates from two other seldom-used projections: the Aitoff and the Equirectangular. The only portions of the Winkel Tripel projection that suffer from severe shape distortion are the polar regions near the east and west edges of the map. The only portions of the Winkel Tripel projection that suffer from severe area distortion are the polar regions near the east and west edges of the map. www.warnercnr.colostate.edu /class_info/nr502/lg2/projection_descriptions/winkel_tripel.html   (772 words)

 Map Projections   (Site not responding. Last check: 2007-10-01) In general, and this is true for the projections in the three basic aspects of cylindrical, conic, and azimuthal, scale going away from the center of a map increases for a conformal projection, and decreases for an equal-area projection. There is the transverse (or, in the case of an azimuthal projection, equatorial) case, in which the globe has been shifted by 90 degrees before the map is drawn, and there is the oblique case where the globe is shifted by a lesser amount. Thus, the transverse case of the Mercator projection is also known as the Gauss Conformal Projection; the transverse case of the Plate Carré projection is known as Cassini's projection. www.quadibloc.com /maps/mapint.htm   (953 words)

 Winkel Tripel   (Site not responding. Last check: 2007-10-01) This is a low precision projection as normally used since it is calculated for a sphere and not an ellipsoid. The Winkel Tripel is obtained by averaging coordinates of Cylindrical Equidistant and the Aitoff projections. Winkel coined the name "tripel" (meaning "triple" in English) to reflect the three step process: project into Cylindrical Equidistant, project into Aitoff and then average the two projections. exchange.manifold.net /manifold/manuals/6_userman/mfd50Winkel_Tripel.htm   (130 words)

 Fritz Kessler, Department of Geography, Frostburg State University   (Site not responding. Last check: 2007-10-01) Winkel I was produced in 1914 by averaging the Sinusoidal and cylindrical equidistant projections. Winkel, in 1918, took a similar approach in creating his second projection, Winkel II, by averaging the cylindrical equidistant and Mollweide projection. Winkel applied the German term Tripel, meaning "a combination of three elements", to suggest that his projection compromises areal, angular, and distance properties resulting in a projection having lower overall distortion than a projection seeking to preserve only one of these properties. faculty.frostburg.edu /geog/kessler/fkmain.html   (933 words)

 Arthur H. Robinson - Wikipedia, the free encyclopedia In 1961, the Rand McNally Company asked Robinson to choose a projection for use as a world map that, among other criteria, was uninterrupted, had limited distortion, and was pleasing to the eye of general viewers. Robinson proceeded through an iterative process to create a pseudo-cylindrical projection that intends to strike a compromise between distortions in areas and in distances, in order to attain a more natural visualization. In 1988, National Geographic adopted it for their world maps but replaced it in 1998 with the Winkel Tripel projection. en.wikipedia.org /wiki/Arthur_H._Robinson   (611 words)

 > Glossary of terms - Geographical Terms - Geographical Terms - Aanderaa Instruments   (Site not responding. Last check: 2007-10-01) Mercator projection---A Mercator projection is a type of rectangular map (a cylindrical projection) in which the true compass directions are kept intact (lines of latitude and longitude intersect at right angles), but areas are distorted (for example, polar areas look much larger than they really are). A projection is a representation of one thing onto another, such as a curved 3-dimensional surface (like the Earth) onto a flat 2-dimensional map. Winkel Tripel projection---A Winkel Tripel projection is a type of pseudocylindrical projection map in which both the lines of latitude and longitude are curved. www.aanderaa.com /render.asp?ID=401&segment=54&session=   (3170 words)

 Winkel Tripel Projection As a manager, you winkel tripel projection and you alone are responsible for the timely winkel tripel projection and successful completion of each step. In addition, because each project has unique characteristics winkel tripel projection and requirements that often aren't apparent until the project is well under way, a manager must be fully prepared to provide intuitive winkel tripel projection and instant solutions--and be confident those solutions are correct. His new book is an invaluable winkel tripel projection and much-needed advance in the art winkel tripel projection and practice of project management. www.plaspecdata.com /winkeltripelprojection.html   (588 words)

 Map Projections -- 3DSoftware.com   (Site not responding. Last check: 2007-10-01) Cylindrical projections are used primarily for complete world maps, or for maps along narrow strips of a great circle arc, such as the Equator, a meridian, or an oblique great circle. The Cassini map projection is the transverse aspect of the Plate Carree projection. While cylindrical and conic projections are related to cylinders and cones wrapped around the globe, the azimuthal projections are formed onto a plane which is tangent to the globe. www.3dsoftware.com /Cartography/USGS/MapProjections   (977 words)

 DIVERSOPHY.COM - using the Peters Map Mercator's projection (created at a time when navigators were sailing on the oceans in wooden ships, powered by the wind, and navigating by the stars) was particularly useful because straight lines on his projection were lines of constant compass bearing. The Peters projection is commonly used in contrast to a Mercator projection, and is visually engaging because it is so jarringly different. The Van der Grinten projection was developed in 1904 and was the official projection of the National Geographic Society from 1922 to 1988. www.diversophy.com /petersmap.htm   (1469 words)

 robinson.html From 1922 to 1988 the projection used by the NGS for their large world maps was one by Chicgoan Van der Grinten. The Robinson projection is somewhat different from almost all others in not being based on mathematical formulas or geometry. More recently the National Geographic Society (1998) has began using the Winkel Tripel projection which is a simple average of the equirectangular and one due to Aitoff (similar to the Hammer) with a standard parallel of 50 degrees 28 minutes. people.clarkson.edu /~chengweb/faculty/taylor/maps/robinson1.html   (300 words)

 Miscellaneous Projections   (Site not responding. Last check: 2007-10-01) The projections here are neither conformal nor equal-area, and they have curved meridians and parallels. Here, the projections presented are determined mathematically, and this is done in many cases in ways analogous to those used for the equal-area projections of the preceding chapter. In general, the projections in this section are derived, like Winkel's Tripel projection, by applying mathematical transformations to existing projections. www.quadibloc.com /maps/mmis09.htm   (102 words)

 [No title]   (Site not responding. Last check: 2007-10-01) Winkel Plot Program Operation Upon successful installation, clicking starts the program on the Winkel Triple.exe file in the directory in which it was installed, or going through the Windows Start button. The Winkel Tripel projection will appear in the picture box centered at 0.0 longitude with a spacing of ten degrees for the parallels and meridians. The user also has options to change the default values and specify a new central meridian, change the spacing of the parallels and meridians, and select whether to display parallels and meridians (as opposed to a bounding frame). faculty.frostburg.edu /geog/kessler/Winkel/ReadMe.txt   (540 words)

 The Savvy Traveller - National Geographic Wall Maps: The World The Robinson projection is based on tables of coordinates, not mathematical formulas. The Winkel Tripel Projection is a modification of the Robinson projection and was developed to minimize distortion relative to shapes, distances and perspective. Recently, the Society changed the projection of their world map from the Robinson to the Winkel Tripel projection. www.thesavvytraveller.com /insights/series/natl_geo/maps/national_geographic_wall_maps_world.htm   (487 words)

 [No title] This project is noted for try to balance distortions so none of the shapes, sizes, spatial relations are quite right but only the Antarctic is excessively distorted. This project is obviously inappropriate for a projection of the whole world since it was designed for projecting The cities data was overlaid with this projection to see if it came into the map correctly. www.unm.edu /~seamus64/assign3.htm   (207 words)

 Mollweide map projection - HighBeam Encyclopedia   (Site not responding. Last check: 2007-10-01) Proprietary perspectives: the quirky creativity of patented map projections. Variations of the Gringorten square equal-area map projection. An inverse solution to the Winkel Tripel projection using partial derivatives. www.encyclopedia.com /doc/1E1-x-mollweid.html   (170 words)

 Winkel Tripel Map Projection   (Site not responding. Last check: 2007-10-01) National Geographic Society recently adopted a map projection, the Winkel Tripel. The millennial school map giveaway project is the largest project of its kind for National Geographic. An explanation of why NGS changed from the Robinson projection to the Winkel Tripel Projection is discussed at: www.hawaii.edu /hga/winkel.html   (281 words)

 Index Cartesian Linear Projection (-—Jx -—JX) to Cartesian Linear Projection (-—Jx -—JX) Cylindrical Projections to Miller Cylindrical Projections (-—Jj -—JJ) Orthographic Projection (-—Jg imuthal Equidistant Projection (-—Je Gnomonic Projection (-—Jf -JF) www.uni-koeln.de /rrzk/software/grafik/visualization/gmt/gmt/doc/html/gmt_docs/node171.html   (706 words)

 Projections   (Site not responding. Last check: 2007-10-01) True or False: On a Mercator projection, the scale is the same everywhere. Describe the angles formed by the intersection of parallels and meridians on a sinusoidal projection. On an azimuthal equidistant projection, describe the antipode of the central map point. www.jsu.edu /depart/geography/mhill/mapreading/projections.html   (491 words)

 Winkel's Tripel Projection   (Site not responding. Last check: 2007-10-01) The popular Hammer-Aitoff projection is based on an idea by Aitoff which he originally applied to the equatorial case of the azimuthal equidistant projection, yielding this: The Winkel Tripel projection, which is a popular projection in many European atlases, is the arithmetic mean of it and a Plate Carrée projection with 40 degrees latitude as its standard parallels. www.hypermaths.org /quadibloc/maps/mmi0901.htm   (69 words)

 [Mapserver-users] proj4 and mapserver   (Site not responding. Last check: 2007-10-01) Dear reader, I'm trying to display a layer of symbols which are lat/long coordinates (from shape files) on a map in winkel tripel projection (generated by GMT). My problem is when I DO NOT specify "projection latlong" in the map file for the layer with symbols, the symbols are displayed but, of course, in the wrong place and when I specify "projection latlong" the symbols are not displayed at all. I assume that my specifications for the winkel tripel projection are not correct/complete. lists.gis.umn.edu /pipermail/mapserver-users/2004-May/012759.html   (213 words)

 [Mapserver-users] proj4 and mapserver   (Site not responding. Last check: 2007-10-01) Agneta Schick wrote: > Dear reader, > > I'm trying to display a layer of symbols which are lat/long coordinates (from > shape files) on a map in winkel tripel projection (generated by GMT). > My problem is when I DO NOT specify "projection latlong" in the map file for > the layer with symbols, the symbols are displayed but, of course, in the > wrong place and when I specify "projection latlong" the symbols are not > displayed at all. Your basic problem would appear to be defining the map extents in degrees but declaring the coordinate system to be winkel tripel. lists.dmsolutions.ca /pipermail/mapserver-users/2004-May/018651.html   (332 words)

 Winkel   (Site not responding. Last check: 2007-10-01) computer winkel, de hifi winkel, bilthoven computer winkel by vlieger winkel by gsm winkel, pontiac winkel, its winkel is required for rotterdam trouwen winkel. hobby winkel, huur te winkel is required for pc winkel, also known as cd winkel is not vuurwerk winkel cannot be c winkel (pickle barrel) dvd winkel (groothandel sanitair) line schaalmodel web winkel and sinkel van winkel features. mr winkel and find details of speelgoed winkel etc. gmc pontiac winkel Winkel erotic winkel, inventaris winkel (dartstift) de winkel and find details of foto winkel is cd s winkel. www.180darts.nl /site/dartwinkel/winkel.htm   (201 words)

 polyconic map projection - HighBeam Encyclopedia   (Site not responding. Last check: 2007-10-01) POLYCONIC MAP PROJECTION [polyconic map projection] see map projection. Find newspaper and magazine articles plus images and maps related to "polyconic map projection" at HighBeam. A Visual Basic Algorithm for the Winkel Tripel Projection. www.encyclopedia.com /doc/1E1-x-polyconi.html   (183 words)

 [GRASSLIST:5331] Re: Core dump on Winkle Triple projection   (Site not responding. Last check: 2007-10-01) IOW, for each cell in the destination location, it transforms the coordinates of the cell's centre using the *inverse* projection, to get a coordinate in the source location. It then reads the value of the cell at that coordinate from the source raster, and stores the value in the original cell in the destination location. Ultimately, if you want to project into a location whose projection doesn't have a defined inverse, you will have to convert to sites project that (s.proj/v.proj use the forward projection), then convert back to raster. grass.itc.it /pipermail/grassuser/2003-January/008120.html   (373 words)

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