About: Reinhardt polygon

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In geometry, a Reinhardt polygon is an equilateral polygon inscribed in a Reuleaux polygon. As in the regular polygons, each vertex of a Reinhardt polygon participates in at least one defining pair of the diameter of the polygon. Reinhardt polygons with sides exist, often with multiple forms, whenever is not a power of two. Among all polygons with sides, the Reinhardt polygons have the largest possible perimeter for their diameter, the largest possible width for their diameter, and the largest possible width for their perimeter. They are named after Karl Reinhardt, who studied them in 1922.

Attributes	Values
rdfs:label	Polígono de Reinhardt (es) Reinhardt polygon (en)
rdfs:comment	En geometría, un polígono de Reinhardt es un polígono equilátero inscrito en un polígono de Reuleaux. Al igual que en los polígonos regulares, cada vértice de un polígono de Reinhardt participa en la definición de al menos un diámetro del polígono. Existen polígonos de Reinhardt con lados, a menudo con múltiples formas, siempre que no sea una potencia de dos. Entre todos los polígonos con lados, los polígonos de Reinhardt tienen el mayor perímetro posible para su diámetro, el mayor ancho posible para su diámetro y el mayor ancho posible para su perímetro. Llevan el nombre de Karl Reinhardt, quien los estudió en 1922. (es) In geometry, a Reinhardt polygon is an equilateral polygon inscribed in a Reuleaux polygon. As in the regular polygons, each vertex of a Reinhardt polygon participates in at least one defining pair of the diameter of the polygon. Reinhardt polygons with sides exist, often with multiple forms, whenever is not a power of two. Among all polygons with sides, the Reinhardt polygons have the largest possible perimeter for their diameter, the largest possible width for their diameter, and the largest possible width for their perimeter. They are named after Karl Reinhardt, who studied them in 1922. (en)
foaf:depiction
dcterms:subject	Types of polygons
Wikipage page ID	66207727 (xsd:integer)
Wikipage revision ID	1109943015 (xsd:integer)
Link from a Wikipage to another Wikipage	Power of two Prime power Regular polygon Curve of constant width Convex hull Equilateral polygon Perimeter Divisor Isosceles triangle Reuleaux polygon Reuleaux triangle Prime number Types of polygons Karl Reinhardt (mathematician) Big O notation Biggest little polygon Diameter Natural number Odd number Semiprime Supporting line Polite number
sameAs	Reinhardt polygon Reinhardt polygon Reinhardt polygon
dbp:wikiPageUsesTemplate	dbt:R dbt:Reflist dbt:Short_description dbt:Use_dmy_dates dbt:Use_list-defined_references dbt:Polygons
thumbnail	wiki-commons:Special:FilePath/Reinhardt_15-gons.svg?width=300
cs1-dates	ly (en)
date	October 2020 (en)
has abstract	En geometría, un polígono de Reinhardt es un polígono equilátero inscrito en un polígono de Reuleaux. Al igual que en los polígonos regulares, cada vértice de un polígono de Reinhardt participa en la definición de al menos un diámetro del polígono. Existen polígonos de Reinhardt con lados, a menudo con múltiples formas, siempre que no sea una potencia de dos. Entre todos los polígonos con lados, los polígonos de Reinhardt tienen el mayor perímetro posible para su diámetro, el mayor ancho posible para su diámetro y el mayor ancho posible para su perímetro. Llevan el nombre de Karl Reinhardt, quien los estudió en 1922. (es) In geometry, a Reinhardt polygon is an equilateral polygon inscribed in a Reuleaux polygon. As in the regular polygons, each vertex of a Reinhardt polygon participates in at least one defining pair of the diameter of the polygon. Reinhardt polygons with sides exist, often with multiple forms, whenever is not a power of two. Among all polygons with sides, the Reinhardt polygons have the largest possible perimeter for their diameter, the largest possible width for their diameter, and the largest possible width for their perimeter. They are named after Karl Reinhardt, who studied them in 1922. (en)
prov:wasDerivedFrom	wikipedia-en:Reinhardt_polygon?oldid=1109943015&ns=0
page length (characters) of wiki page	8736 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Reinhardt_polygon
is Link from a Wikipage to another Wikipage of	Equilateral polygon Reuleaux polygon Thrackle Karl Reinhardt (mathematician) Biggest little polygon Polite number
is known for of	Karl August Reinhardt
is foaf:primaryTopic of	wikipedia-en:Reinhardt_polygon

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