mercator projection vs real

It was inspired by a similar animation that I saw on reddit and decided I wanted to try to build the same thing. I’m assuming it’s accurate based purely on area (sqkm) based around a centroid; however, when I visually compare the northern border of the US with the southern border of Canada in the “real” view, it’s clear they don’t fit together. mercatorprojektion vs real. The maps are all the work of climate data scientist @neilrkaye. It is in fact impossible to show the poles on a Mercator map — they are infinitely far away. As it shows, Greenland is the country that has the largest percent difference between its apparent size in a Mercator projection and it’s real size (it’s only about 1/4 of the apparent size). The further you go away from the equator, the worse the error. function resizemercatormap(){ This map's grid is rectangular and lines of latitude and longitude are parallel throughout. Required fields are marked *. "; Making Sense Of The World, One Map At A Time. Dabei werden innerhalb des Zylinders liegende Urbilder in Umfangsrichtung umso stärker vergrößert, je näher sie an der Achse liegen, außerhalb liegende werden verkleinert. Klassische Mercator-Projektion: Die Regionen in Polnähe sind viel grösser als jene in Äquatornähe. Most maps are very distorted to the Northern Hemisphere. Start with a sphere or ellipsoid because that is the true form of the Earth. Required fields are marked *. Or: → Selection by thumbnail → Select from list. Of course Mercator doesn’t “work for navigation” in the general sense. I recalculated the latitude and longitude coordinates so that the mercator projection would show the correct sizes. I try to plot some cities on my map of France, all points are here but not exactly where they should be see picture . d. Inverse Transformation (N,E to Φ,λ). El primero de ellos es asimilar la tierra a una esfera, sí sabemos que la tierra es redonda, pero no es una esfera perfecta ni mucho menos. And while it is very big, it’s nowhere near the size of the continent of Africa. w=window.innerWidth; Ellipsoid Constants. Schneidende Projektionen (in normaler Lage) Berührung vs. Schnitt. This is why we tend to think of places like Greenland as much larger than they actually are. Fifty-nine variations on this projection are used to minimize distortion in the other 59 UTM zones. In the previous version of this animation, I calculated the latitude and longitude coordinates for the outline of the “real” size by modifying the original latitude and longitude by the ratio of these two areas to draw the new smaller, “real” country size. mm = document.getElementById('mercatormap2'); Let’s first address the elephant in the room. I remember as a child thinking that Alaska was as large as 1/2 of the continental US. All headings are correct on Mercator projection. Your email address will not be published. Um die Lage in Achsrichtung zu bestimmen, muss die Vergrößerung über die Strecke von der Berührungslinie bis zum zu projizierenden Punkt rechnerisch integriert werden. a. Projection-Specific Notation. The Mercator projection (/ m ər ˈ k eɪ t ər /) is a cylindrical map projection presented by Flemish geographer and cartographer Gerardus Mercator in 1569. Are there set points for each location like in traditional latitude and longitude or do they change? As long as you give credit back should be fine. Is it fair to call it “real”? Countries close to the equator barely change, whereas countries further north shrink dramatically. World Population Distribution by Latitude and Longitude, Scaling the physical size of States in the US to reflect population size (animation), Sizing the States Based On Electoral Votes. The transverse Mercator projection, also known as the Gauss-Krüger projection, is similar to Mercator except that the cylinder touches the sphere or ellipsoid along a meridian instead of the equator. The Transverse Mercator projection illustrated above (Figure 2.22.2) minimizes distortion within UTM zone 30. How this “globe to flat” surface conversion was d… David, If you look at the Map, Germany is dead centre, (map created by a German Cartographer, so the equator is in the bottom third of the map. } These geojson polygons are plotted here using the Mercator projection using the leaflet javascript library. David, that is because when two thirds of the map is allocated to the northern hemisphere (see where the equator is, two thirds of the way down) and only one third to the southern hemisphere, then northern hemisphere countries are over-sized (hugely towards the top of the map) – hence this accurate representation of “shrinkage” when you represent them accurate to surface area. With any map projection style, the big challenge lies in depicting a spherical object as a 2D graphic. function reloadiframes(){ Projection Selection. Mercator’s Rise to the Top. Most countries lie north of the equator (which is south of the wide part of Africa and south of India). Mercator vs. Miller. c. Direct Transformation (Φ,λ to N,E). The Mercator map was designed as an aid to navigators with straight lines, loxodromes or rhumb lines—representing lines of constant compass bearing—that are perfect for "true" direction. This is the original graph that keeps the shape of the countries exactly the same and just scales the size. In this calculation, we create a new set of coordinates by calculating the distance between the center of the polygon and each set of coordinates and change the coordinates to reflect the shrinking of distance between longitude lines as you head towards the poles. The … Don’t understand why nearly all of the shrinkage is north of the equator. } Peel it like an orange evenly into sixty segments called “zones”. With the UTM Zone, things will be very accurate or it supposed to be accurate for that particular zone, in your case UTM Zone 15N. Have you ever wondered how many of those tiny countries could be fit into those big countries? }, false); Animating the Mercator projection to the true size of each country in relation to all the others. Projection Selection. reloadiframes(); ss = document.getElementById('sizescatter'); Mercator projection, type of map projection introduced in 1569 by Gerardus Mercator.It is often described as a cylindrical projection, but it must be derived mathematically.The meridians are equally spaced parallel vertical lines, and the parallels of latitude are parallel horizontal straight lines that are spaced farther and farther apart as their distance from the Equator increases. In the Mercator projection it looks almost the size of Africa. Finally the map gives a bar graph to show the relative size of the world’s largest countries: As a retired map reader, planner, totally amazing and wonderfully interesting, Please show real map not minimized, how they look from space, all connectted. function mobilewarn(){ You may be surprised at what you find! General Notation and Definitions. Select two projections: Projection No. mercator map vs peters projektion. For many people, the Earth as they know it is heavily informed by the Mercator projection – a tool used for nautical navigation that eventually became the world’s most widely recognized map. Map Projections & What They Say About You. Foi elaborada no século XVI com a expansão marítima europeia. It became the standard map projection for navigation because it is unique in representing north as up and south as down everywhere while preserving local directions and shapes. In every case, distortion is no greater than 1 part in 1,000. Actually Mercator was a navigator and his map works for navigation, other projections don’t do that. Data and tools: This visualization was made using the Leafletjs javascript mapping library and country shapefiles (converted to geojson). Areas far from the equator are distorted in terms of their distances and are shown much larger than they actually are. The table also shows the top 10 countries whose size is overestimated (and the difference in land area in square kilometers or as a percentage reduction from the size in the Mercator projection). Thank you very much. Um Winkeltreue zu erreichen, muss ein solches Flächenelement daher in Achsrichtung um denselben Faktor vergrößert werden. Bei der Mercator-Projektion wird um die Erde ein gedachter Zylinder gelegt, der diese entlang eines Großkreises berührt oder in zwei Kreisen beiderseits dieses Großkreises schneidet. What I think going on is that when using Web Mercator projection it gets really distorted closer to the poles (north, and south), and its also projecting the entire planet. 3. TRANSVERSE MERCATOR AND LAMBERT CONFORMAL CONIC MAP PROJECTION FUNCTIONS Alan Vonderohe (February 2020) Contents 1. Pressing on the button animates the country ‘shrinking’ to its actual size or ‘growing’ to the size shown on the mercator projection. Der Gall Peters ist möglicherweise fast so schlecht wie die Mercator-Projektion. If you're thinking of a world map, you're probably thinking about the Mercator projection, which flattens the globe into a rectangular presentation — and in the process, severely distorts the size of areas closer to the poles. } mm.height = mm.contentWindow.document.body.scrollHeight+20+"px"; mm2 = document.getElementById('mercatormap'); See the Peters Projection Map or the Hobo-Dyer, with the equator in the MIDDLE of the map in order to give an accurate representation. For those who wonder why the northern hemisphere shrinks so much, the equator runs through Borneo, which is low down on the map; at the top of the bottom third of the map. Dennoch wurden weiterhin häufig die überlieferten Karten mit der Mercator-Projektion genutzt. mercatorprojektion vs real. Background. mercator map vs peters projektion. //this function is called from the javascript from within the iframe after the contents of iframe are loaded (and after an additional 150ms delay) A great tool for educators. Following a fixed compass bearing is only the shortest route if heading due north,south, east or west. document.getElementById('mercatormap').contentWindow.location.reload(); window.addEventListener("orientationchange", function() { Projection Informations : Central Cylindrical Mercator; Creator: Unknown (1850 approx.) 2: Mode: [ Info ] Simple Expert . }, 150); It shows Africa as being smaller than it is . The new coordinates needed to draw the “real size” of the countries are derived by calculating the distance between the center of the country and each of the coordinates in the country’s shapefile. I'm facing a problem with an svg map from openstreet map, wich use the "Google Mercator projection with simplification on grid(1000)". The ‘outlines’ of all the countries is a series of points, which are specified as latitude and longitude coordinates. You already know that our world, planet earth is a globe. document.getElementById('sizescatter').contentWindow.location.reload(); ss.height = ss.contentWindow.document.body.scrollHeight+20+"px"; Canada and the USA segments fit together for me. Projection Constants. This site uses Akismet to reduce spam. mm2.height = mm2.contentWindow.document.body.scrollHeight+20+"px"; Hover or click on a country to see how much it shrinks from the Mercator projection size. Your email address will not be published. This is incorrect because as you move towards the poles the distances between longitude lines decreases. mobilewarn(); I was wondering where you were able to find coordinate points as used in the Mercator map projection to make those calculations. As a result the tops (northern ends) of countries will shrink more than the bottoms (southern ends) of countries in the Northern Hemisphere and vice versa in the Southern Hemisphere. The shrinkage is a function of latitude and the confusion stems from the fact that the equator isn’t shown on the map. And Russia is the country with the largest absolute difference between these two sizes. And Russia is the country with the largest absolute difference between these two sizes. Mercator projection) and the other was the actual area. Learn how your comment data is processed. Any Mercator map you've ever seen must cut off the top/bottom edges at some arbitrary point. The students applauded and all subscribed to r/mapporn[1] that day and accepted the Peirce Quincuncial projection as the coolest projection ever. It would not be the shortest route – for that you would follow a great circle but that does involve adjusting your compass bearing as you progress so you need to know where you are. Pero empecemos por el principio. Ein weiteres Unterscheidungsmerkmal "echter" Projektionen liegt darin, ob die Projektionsfläche den Erdkörper berührt (tangent case) oder schneidet (secant case).Um die Abbildungsqualität bei der Darstellung größerer Gebiete zu erhöhen, lässt man den Projektionskörper die Erdoberfläche durchdringen (schneiden). How many Americans have contracted Coronavirus? This next graph shows each country plotted with their actual land area and apparent land area as shown on a Mercator projection. My son has also remarked that Greenland is very big. e. … Or: → Selection by thumbnail → Select from list. 2. document.getElementById('mobilewarning').innerHTML="On mobile devices, visualizations are best viewed in landscape mode. Map found via reddit, click for larger version While it's well known that the mercator projection distorts the world, the maps here show very clearly by how much. Flatten each one of these zones.What’s the result?It’s the Universal Transverse Mercator (UTM) projection! In a mercator projection, the longitude lines are shown as equi-distant regardless of latitude. El gran problema con el que se enfrentan los cartógrafos al hacer mapas es como presentar en una superficie plana de dos dimensiones un elemento, la Tierra, que tiene tres dimensiones. The map is thereby conformal. Die Erdoberfläche ist in erster Näherung eine Kugeloberfläche, die nicht verzerrungsfrei auf eine ebene Karte abgebildet werden kann. } If you’re starting out from 51º N—the latitude of Flanders, where Mercator was from—a Mercator-derived course from Bruges to Edinburgh could be so far off that you’d miss the UK entirely. } else { May I use your images on Quora? Loved your maps. If you followed a constant compass bearing from Bruges to Edinburgh it would be a straight line on a Mercator map and if you could keep to that exact bearing it would get you exactly there. Your efforts counts and respect from my side. En annan fråga om "Mercator har fel". The Mercator projection is infamous for its distortion at high latitudes. if (w<600){ Modeled and animated by Grafonaut. Von der Zylinderachse aus kann jeder Punkt des Globus geometrisch auf eine Linie projiziert werden, die senkrecht zu diesem Großkreis liegt. You can fit the USA, India, Europe, and China into Africa and still have space for Liberia and Japan. Unsere heutige Weltkarte geht auf den Belgier Gerhard Mercator zurück, der 1569 die noch immer gebräuchliche zweidimensionale Projektion des Erdballs entwickelte, die als „Mercator-Projektion“ bekannt wurde. Your email address will not be published. I’m wondering how this is scaled between Mercator and Real. While it’s well known that the mercator projection distorts the world, the maps here show very clearly by how much. This is why Greenland, Russia and Canada shrink so much in height and width in the animation, they are fairly high in latitude in the Northern Hemisphere. b. Is Greenland really as big as all of Africa? Select two projections: Projection No. This means that a 1,000 meter distance measured anywhere within a UTM zone will be no worse than + or - 1 meter off. I have. Drag and drop countries around the map to compare their relative size. Later, however, I learned that while it is the largest state, it is actually only about 1/5 the size of the lower 48 states. The mercator projection is a commonly used projection on computer maps because it has perpendicular latitude and longitude lines (forming rectangles). Have you ever considered how these countries and landscapes on a globe were marked up in a two-dimensional map? Shouldn’t it be distributed equally north and south? Transverse Mercator Projections (After Stem (1989)). Countries close to the equator barely change, whereas countries further north shrink dramatically. Svar 1: Kära nån. Van Gogh As Drawn By A Traveling Salesman, Visualizing the Variation in Sunlight by Latitude and Time of Year, Post-Retirement Calculator: Will My Money Survive Early Retirement? mobilewarn(); There was a school-wide renouncement of outdated colonialist maps and south-up maps (like the ones they definitely 100% use in Australia) were hung up across the northern hemisphere. This distortion gets exponentially worse as you approach the poles. Central Cylindrical vs. Mercator. 4. The map above shows the distortion in sizes of countries due to the mercator projection. 1: Projection No. If a navigator wishes to sail from Spain to the West Indies using this map, all they have to do is draw a line between the two points.

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