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In cartography, geology, and robotics, [1] a topological map is a type of diagram that has been simplified so that only vital information remains and unnecessary detail has been removed. These maps lack scale, also distance and direction are subject to change and/or variation, but the topological relationship between points is maintained.
An atlas for a topological space is an indexed family {(,):} of charts on which covers (that is, =). If for some fixed n , the image of each chart is an open subset of n -dimensional Euclidean space , then M {\displaystyle M} is said to be an n -dimensional manifold .
In the future, a good way to follow should be to start a methodical project, based on the German Location map initiative, working continent after continent and country after country, to provide a complete set of SVG topographic maps, respecting these topographic conventions. To learn. Several tutorials are now available, on wiki-en, wiki-fr ...
Topographic maps are also commonly called contour maps or topo maps. In the United States, where the primary national series is organized by a strict 7.5-minute grid, they are often called or quads or quadrangles. Topographic maps conventionally show topography, or land contours, by means of contour lines.
The spherical Earth is navigated using flat maps or charts, collected in an atlas. Similarly, a manifold can be described using mathematical maps, called coordinate charts, collected in a mathematical atlas. It is not generally possible to describe a manifold with just one chart, because the global structure of the manifold is different from ...
Theatrum Orbis Terrarum (Latin: [tʰɛˈaːtrũː ˈɔrbɪs tɛˈrːaːrũː], "Theatre of the Lands of the World") is considered to be the first true modern atlas.Written by Abraham Ortelius, strongly encouraged by Gillis Hooftman [2] and originally printed on 20 May 1570 in Antwerp, [3] it consisted of a collection of uniform map sheets and supporting text bound to form a book for which ...
The Mercator Projection, developed by Flemish geographer Gerardus Mercator, was widely used as the standard for two-dimensional world maps until the late 20th century, when more accurate projections were more widely used. Mercator also was the first to use and popularize the concept of the atlas: a collection of maps.
A world map is a map of most or all of the surface of Earth. World maps, because of their scale, must deal with the problem of projection. Maps rendered in two dimensions by necessity distort the display of the three-dimensional surface of the Earth. While this is true of any map, these distortions reach extremes in a world map.