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- Gilbert_tessellation abstract "In applied mathematics, a Gilbert tessellation or random crack network is a mathematical model for the formation of mudcracks, needle-like crystals, and similar structures. It is named after Edgar Gilbert, who studied this model in 1967.In Gilbert's model, cracks begin to form at a set of points randomly spread throughout the plane according to a Poisson distribution. Then, each crack spreads in two opposite directions along a line through the initiation point, with the slope of the line chosen uniformly at random. The cracks continue spreading at uniform speed until they reach another crack, at which point they stop, forming a T-junction. The result is a tessellation of the plane by irregular convex polygons.A variant of the model that has also been studied restricts the orientations of the cracks to be axis-parallel, resulting in a random tessellation of the plane by rectangles.Gray et al. (1976) write that, in comparison to alternative models in which cracks may cross each other or in which cracks are formed one at a time rather than simultaneously, "most mudcrack patterns in nature topologically resemble" the Gilbert model.".
- Gilbert_tessellation thumbnail Gilbert_tessellation.svg?width=300.
- Gilbert_tessellation wikiPageID "36142343".
- Gilbert_tessellation wikiPageLength "2901".
- Gilbert_tessellation wikiPageOutDegree "11".
- Gilbert_tessellation wikiPageRevisionID "630357639".
- Gilbert_tessellation wikiPageWikiLink Applied_mathematics.
- Gilbert_tessellation wikiPageWikiLink Category:Tessellation.
- Gilbert_tessellation wikiPageWikiLink Convex_polygon.
- Gilbert_tessellation wikiPageWikiLink Crystal.
- Gilbert_tessellation wikiPageWikiLink Edgar_Gilbert.
- Gilbert_tessellation wikiPageWikiLink Mudcrack.
- Gilbert_tessellation wikiPageWikiLink Poisson_distribution.
- Gilbert_tessellation wikiPageWikiLink Rectangle.
- Gilbert_tessellation wikiPageWikiLink Tessellation.
- Gilbert_tessellation wikiPageWikiLink File:Gilbert_tessellation.svg.
- Gilbert_tessellation wikiPageWikiLink File:Gilbert_tessellation_axis.svg.
- Gilbert_tessellation wikiPageWikiLinkText "Gilbert tessellation".
- Gilbert_tessellation hasPhotoCollection Gilbert_tessellation.
- Gilbert_tessellation wikiPageUsesTemplate Template:Harvtxt.
- Gilbert_tessellation wikiPageUsesTemplate Template:Reflist.
- Gilbert_tessellation wikiPageUsesTemplate Template:Tessellation.
- Gilbert_tessellation subject Category:Tessellation.
- Gilbert_tessellation hypernym Model.
- Gilbert_tessellation type Person.
- Gilbert_tessellation type Pattern.
- Gilbert_tessellation type Polytope.
- Gilbert_tessellation comment "In applied mathematics, a Gilbert tessellation or random crack network is a mathematical model for the formation of mudcracks, needle-like crystals, and similar structures. It is named after Edgar Gilbert, who studied this model in 1967.In Gilbert's model, cracks begin to form at a set of points randomly spread throughout the plane according to a Poisson distribution.".
- Gilbert_tessellation label "Gilbert tessellation".
- Gilbert_tessellation sameAs m.0k0qm75.
- Gilbert_tessellation sameAs Q5561321.
- Gilbert_tessellation sameAs Q5561321.
- Gilbert_tessellation wasDerivedFrom Gilbert_tessellation?oldid=630357639.
- Gilbert_tessellation depiction Gilbert_tessellation.svg.
- Gilbert_tessellation isPrimaryTopicOf Gilbert_tessellation.