Teragon (original) (raw)
Als Monsterkurve oder Teragon (v. griech.: teras = Drache, Monster) bezeichneten die Mathematiker des späten 19. und frühen 20. Jahrhunderts die geometrischen Kurven mit höchst seltsamen Eigenschaften, die damals entdeckt wurden.
| Property | Value |
|---|---|
| dbo:abstract | Als Monsterkurve oder Teragon (v. griech.: teras = Drache, Monster) bezeichneten die Mathematiker des späten 19. und frühen 20. Jahrhunderts die geometrischen Kurven mit höchst seltsamen Eigenschaften, die damals entdeckt wurden. (de) A teragon is a polygon with an infinite number of sides, the most famous example being the Koch snowflake ("triadic Koch teragon"). The term was coined by Benoît Mandelbrot from the words Classical Greek τέρας (teras, monster) + γωνία (gōnía, corner). Typically, a teragon will be bounded by one or more self-similar fractal curves, which are created by replacing each line segment in an initial figure with multiple connected segments, then replacing each of those segments with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure. (en) |
| dbo:thumbnail | wiki-commons:Special:FilePath/KochFlake.svg?width=300 |
| dbo:wikiPageID | 17677626 (xsd:integer) |
| dbo:wikiPageLength | 2160 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID | 1100045238 (xsd:integer) |
| dbo:wikiPageWikiLink | dbr:Benoit_Mandelbrot dbr:Benoît_Mandelbrot dbr:Rep-tile dbr:Line_segment dbr:Classical_Greek dbr:Polygon dbr:Fractal dbr:Koch_snowflake dbc:Fractals dbr:Self-similar dbr:Dissection_(geometry) dbr:File:KochFlake.svg dbr:File:Karperienflake.gif dbr:File:Horned_triangle_or_teragonic_triangle.gif |
| dbp:date | January 2022 (en) |
| dbp:reason | The Koch snowflake is not a polygon at all. It does not have any sides in its boundary. (en) |
| dbp:wikiPageUsesTemplate | dbt:Fractals dbt:Distinguish dbt:Dubious dbt:Reflist dbt:Isbn dbt:No_inline_citations dbt:Fractal-stub |
| dcterms:subject | dbc:Fractals |
| gold:hypernym | dbr:Curve |
| rdf:type | owl:Thing yago:Abstraction100002137 yago:Cognition100023271 yago:Form105930736 yago:Fractal105931152 yago:PsychologicalFeature100023100 dbo:Album yago:Structure105726345 yago:WikicatFractals |
| rdfs:comment | Als Monsterkurve oder Teragon (v. griech.: teras = Drache, Monster) bezeichneten die Mathematiker des späten 19. und frühen 20. Jahrhunderts die geometrischen Kurven mit höchst seltsamen Eigenschaften, die damals entdeckt wurden. (de) A teragon is a polygon with an infinite number of sides, the most famous example being the Koch snowflake ("triadic Koch teragon"). The term was coined by Benoît Mandelbrot from the words Classical Greek τέρας (teras, monster) + γωνία (gōnía, corner). Typically, a teragon will be bounded by one or more self-similar fractal curves, which are created by replacing each line segment in an initial figure with multiple connected segments, then replacing each of those segments with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure. (en) |
| rdfs:label | Monsterkurve (de) Teragon (en) |
| owl:differentFrom | dbr:Tarragon |
| owl:sameAs | freebase:Teragon yago-res:Teragon wikidata:Teragon dbpedia-de:Teragon https://global.dbpedia.org/id/sQr1 |
| prov:wasDerivedFrom | wikipedia-en:Teragon?oldid=1100045238&ns=0 |
| foaf:depiction | wiki-commons:Special:FilePath/Karperienflake.gif wiki-commons:Special:FilePath/Horned_triangle_or_teragonic_triangle.gif wiki-commons:Special:FilePath/KochFlake.svg |
| foaf:isPrimaryTopicOf | wikipedia-en:Teragon |
| is dbo:wikiPageWikiLink of | dbr:Rep-tile dbr:Apeirogon dbr:Self-similarity dbr:Koch_snowflake |
| is foaf:primaryTopic of | wikipedia-en:Teragon |
