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The following discussion is a summary based on the introduction to Every Planar Map is Four Colorable (Appel & Haken 1989). Although flawed, Kempe's original purported proof of the four color theorem provided some of the basic tools later used to prove it. The explanation here is reworded in terms of the modern graph theory formulation above.
English: World map colored in green, yellow, blue and red to illustrate the four color theorem. This map considers just only land boundaries, although insular States have been colored too. This map considers just only land boundaries, although insular States have been colored too.
This is an accepted version of this page This is the latest accepted revision, reviewed on 1 March 2025. Computer graphics images defined by points, lines and curves This article is about computer illustration. For other uses, see Vector graphics (disambiguation). Example showing comparison of vector graphics and raster graphics upon magnification Vector graphics are a form of computer ...
Paint and drawing toolset for use with digitized pen tablets & tablet computers: Autodesk: 2004: 8.4.3 (Android 4.0.6, iOS 4.1) Freeware: Proprietary: Bibble* Photo editor and organizer with camera raw file support Bibble Labs 2000: 5.2.3 2011 Proprietary: Bloom: Procedural node-based image editor Sad Cat Software 2015: 1.0.467 August 5, 2016 ...
Darktable, a raw photo post-processing application GIMP, a feature-rich general-purpose raster graphics editor. A raster graphics editor (also called bitmap graphics editor) is a computer program that allows users to create and edit images interactively on the computer screen and save them in one of many raster graphics file formats (also known as bitmap images) such as JPEG, PNG, and GIF.
There are two main types of tools used for digital illustration: bitmapped (also known as "raster") and vector applications. Bitmap applications are commonly called "painting" programs, such as Adobe Photoshop, while vector applications, such as Adobe Illustrator, are called "drawing" programs. These terms reflect the difference in look-and ...
File:{Subject name in English} map.svg (or png) For species, use the binominal name. For others, use the English wiki article title. If needed, add just after the subject name the section's name, the year, etc. Note: Colours: A maximum of four colours is required for complex multi-color area maps (see Four color theorem).
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