Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Coastline_paradox> ?p ?o }
- Coastline_paradox abstract "The coastline paradox is the counterintuitive observation that the coastline of a landmass does not have a well-defined length. This results from the fractal-like properties of coastlines. The first recorded observation of this phenomenon was by Lewis Fry Richardson and it was expanded by Benoit Mandelbrot.More concretely, the length of the coastline depends on the method used to measure it. Since a landmass has features at all scales, from hundreds of kilometres in size to tiny fractions of a millimetre and below, there is no obvious size of the smallest feature that should be measured around, and hence no single well-defined perimeter to the landmass. Various approximations exist when specific assumptions are made about minimum feature size.".
- Coastline_paradox thumbnail Britain-fractal-coastline-100km.png?width=300.
- Coastline_paradox wikiPageExternalLink coastline.html.
- Coastline_paradox wikiPageExternalLink fractals.
- Coastline_paradox wikiPageExternalLink Coastlines.html.
- Coastline_paradox wikiPageExternalLink papers.cfm?abstract_id=943509.
- Coastline_paradox wikiPageExternalLink how-much-length-do-you-really-need-ahhh-shoreline-length-that-is.
- Coastline_paradox wikiPageID "5327808".
- Coastline_paradox wikiPageLength "8994".
- Coastline_paradox wikiPageOutDegree "50".
- Coastline_paradox wikiPageRevisionID "683749502".
- Coastline_paradox wikiPageWikiLink Alaska_Panhandle.
- Coastline_paradox wikiPageWikiLink Alaska_boundary_dispute.
- Coastline_paradox wikiPageWikiLink Alaskan_Panhandle.
- Coastline_paradox wikiPageWikiLink Arc_length.
- Coastline_paradox wikiPageWikiLink Arctic_archipelago.
- Coastline_paradox wikiPageWikiLink Atom.
- Coastline_paradox wikiPageWikiLink Benoit_Mandelbrot.
- Coastline_paradox wikiPageWikiLink British_Columbia_Coast.
- Coastline_paradox wikiPageWikiLink Calculus.
- Coastline_paradox wikiPageWikiLink Canadian_Arctic_Archipelago.
- Coastline_paradox wikiPageWikiLink Category:Cartography.
- Coastline_paradox wikiPageWikiLink Category:Coastal_geography.
- Coastline_paradox wikiPageWikiLink Category:Coasts.
- Coastline_paradox wikiPageWikiLink Category:Fractals.
- Coastline_paradox wikiPageWikiLink Category:Paradoxes.
- Coastline_paradox wikiPageWikiLink Category:Topography.
- Coastline_paradox wikiPageWikiLink Chile.
- Coastline_paradox wikiPageWikiLink Coast.
- Coastline_paradox wikiPageWikiLink Coastline.
- Coastline_paradox wikiPageWikiLink Counterintuitive.
- Coastline_paradox wikiPageWikiLink David_G._Post.
- Coastline_paradox wikiPageWikiLink Estuary.
- Coastline_paradox wikiPageWikiLink Euclidean_distance.
- Coastline_paradox wikiPageWikiLink Fjord.
- Coastline_paradox wikiPageWikiLink Fractal.
- Coastline_paradox wikiPageWikiLink Fractal_dimension.
- Coastline_paradox wikiPageWikiLink Geodesic.
- Coastline_paradox wikiPageWikiLink Great_Britain.
- Coastline_paradox wikiPageWikiLink Great_circle.
- Coastline_paradox wikiPageWikiLink How_Long_Is_the_Coast_of_Britain%3F_Statistical_Self-Similarity_and_Fractional_Dimension.
- Coastline_paradox wikiPageWikiLink Land.
- Coastline_paradox wikiPageWikiLink Land_mass.
- Coastline_paradox wikiPageWikiLink Landmass.
- Coastline_paradox wikiPageWikiLink Length.
- Coastline_paradox wikiPageWikiLink Lewis_Fry_Richardson.
- Coastline_paradox wikiPageWikiLink Michael_Eisen.
- Coastline_paradox wikiPageWikiLink Mudflat.
- Coastline_paradox wikiPageWikiLink Nanometer.
- Coastline_paradox wikiPageWikiLink Nanometre.
- Coastline_paradox wikiPageWikiLink North_America.
- Coastline_paradox wikiPageWikiLink Norway.
- Coastline_paradox wikiPageWikiLink Pacific_Northwest.
- Coastline_paradox wikiPageWikiLink Planck_length.
- Coastline_paradox wikiPageWikiLink Sierpiński_curve.
- Coastline_paradox wikiPageWikiLink Smooth_function.
- Coastline_paradox wikiPageWikiLink Smoothness.
- Coastline_paradox wikiPageWikiLink Sorites_paradox.
- Coastline_paradox wikiPageWikiLink Southeast_Alaska.
- Coastline_paradox wikiPageWikiLink Space-filling_curve.
- Coastline_paradox wikiPageWikiLink Tidal_flat.
- Coastline_paradox wikiPageWikiLink Vancouver_Island.
- Coastline_paradox wikiPageWikiLink Zenos_paradoxes.
- Coastline_paradox wikiPageWikiLink File:Arc_length.gif.
- Coastline_paradox wikiPageWikiLink File:Arclength.svg.
- Coastline_paradox wikiPageWikiLinkText "Coastline paradox".
- Coastline_paradox wikiPageWikiLinkText "coastline paradox".
- Coastline_paradox align "center".
- Coastline_paradox alt "S1".
- Coastline_paradox alt "S2".
- Coastline_paradox alt "S3".
- Coastline_paradox alt "S4".
- Coastline_paradox alt "S5".
- Coastline_paradox date "February 2015".
- Coastline_paradox date "March 2010".
- Coastline_paradox footer "An example of the coastline paradox. If the coastline of Great Britain is measured using units long, then the length of the coastline is approximately . With units, the total length is approximately , approximately longer.".
- Coastline_paradox footer "This Sierpiński curve , which repeats the same pattern on a smaller and smaller scale, continues to increase in length. If understood to iterate within an infinitely subdivisible geometric space, its length approaches infinity. At the same time, the area enclosed by the curve does converge to a precise figure—just as, analogously, the land mass of an island can be calculated more easily than the length of its coastline.".
- Coastline_paradox hasPhotoCollection Coastline_paradox.
- Coastline_paradox image "Sierpiński curve order 1.svg".
- Coastline_paradox image "Sierpiński curve order 2.svg".
- Coastline_paradox image "Sierpiński curve order 3.svg".
- Coastline_paradox image "Sierpiński curve order 4.svg".
- Coastline_paradox image "Sierpiński curve order 5.svg".
- Coastline_paradox image "britain-fractal-coastline-100km.png".
- Coastline_paradox image "britain-fractal-coastline-50km.png".
- Coastline_paradox reason "The article has explained how the length of a coastline depends on the measurement scale. So what scale are these figures based on?".
- Coastline_paradox text "Various approximations exist".
- Coastline_paradox text "create patterns only statistically".
- Coastline_paradox text "non-fractal assumptions".
- Coastline_paradox width "180".
- Coastline_paradox width "66".
- Coastline_paradox wikiPageUsesTemplate Template:Clarify.
- Coastline_paradox wikiPageUsesTemplate Template:Cn.
- Coastline_paradox wikiPageUsesTemplate Template:Convert.
- Coastline_paradox wikiPageUsesTemplate Template:Fractals.
- Coastline_paradox wikiPageUsesTemplate Template:Multiple_image.
- Coastline_paradox wikiPageUsesTemplate Template:Refimprove-section.
- Coastline_paradox wikiPageUsesTemplate Template:Reflist.
- Coastline_paradox subject Category:Cartography.
- Coastline_paradox subject Category:Coastal_geography.