About: Rectified 24-cell

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In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra. It can be obtained by rectification of the 24-cell, reducing its octahedral cells to cubes and cuboctahedra. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC24.

Attributes	Values
rdfs:label	Rektigita 24-ĉelo (eo) Rectified 24-cell (en) 截半正二十四胞体 (zh)
rdfs:comment	En geometrio, la rektigita 24-ĉelo estas konveksa uniforma plurĉelo. Kiel la nomo sugestas, ĝi povas esti farita per rektigo de la regula 24-ĉelo. Ĝi estas barita per 48 ĉeloj: 24 kuboj, kaj 24 kubokedroj. La rektigita 24-ĉelo povas esti konstruita per laterotranĉo de la regula 16-ĉelo. Kiel laterotranĉita 16-ĉelo ĝi povas esti konsiderata kiel havanta simetriojn de pli malgranda ordo B4 = [3,3,4], aŭ eĉ D4. Ĉi tiuj simetriaj respektivas al kolorigo de la kubokedraj ĉeloj per du koloroj 8+16, aŭ per tri koloroj 8+8+8 respektive. (eo) 截半正二十四胞体由48个三维胞组成: 24个立方体, 和24个截半立方体。每个顶点周围环绕着三个截半立方体和两个立方体。 (zh) In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra. It can be obtained by rectification of the 24-cell, reducing its octahedral cells to cubes and cuboctahedra. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC24. (en)
foaf:depiction
dct:subject	4-polytopes
Wikipage page ID	6238212 (xsd:integer)
Wikipage revision ID	994907694 (xsd:integer)
Link from a Wikipage to another Wikipage	Schläfli symbol Cube Cuboctahedron Uniform 4-polytope 4-polytopes Geometry Convex polytope Stereographic projection Emanuel Lodewijk Elte Triangular bifrustum 24-cell Norman Johnson (mathematician) Rectification (geometry) Coxeter group Vertex figure John Horton Conway Triangle Square (geometry) Octahedron Schlegel diagram Triangular prism Facet (geometry) Thorold Gosset Truncated 24-cell Square antiprism Cartesian coordinate Cell (mathematics) Coxeter diagram Edge-transitive
sameAs	Rectified 24-cell Rectified 24-cell Rectified 24-cell Rectified 24-cell Rectified 24-cell
dbp:wikiPageUsesTemplate	dbt:CDD dbt:Cite_book dbt:KlitzingPolytopes dbt:PolyCell dbt:Polytopes dbt:Radic dbt:RefList dbt:Sfn dbt:Isbn dbt:24-cell_4-cube_Coxeter_plane_graphs dbt:24-cell_family dbt:Demitesseract_family dbt:Tesseract_family
thumbnail	wiki-commons:Special:FilePath/Schlegel_half-solid_cantellated_16-cell.png?width=300
title	2 (xsd:integer) 3 (xsd:integer) 7 (xsd:integer)
urlname	section2.html (en) section3.html (en) section7.html (en)
has abstract	En geometrio, la rektigita 24-ĉelo estas konveksa uniforma plurĉelo. Kiel la nomo sugestas, ĝi povas esti farita per rektigo de la regula 24-ĉelo. Ĝi estas barita per 48 ĉeloj: 24 kuboj, kaj 24 kubokedroj. La rektigita 24-ĉelo povas esti konstruita per laterotranĉo de la regula 16-ĉelo. Kiel laterotranĉita 16-ĉelo ĝi povas esti konsiderata kiel havanta simetriojn de pli malgranda ordo B4 = [3,3,4], aŭ eĉ D4. Ĉi tiuj simetriaj respektivas al kolorigo de la kubokedraj ĉeloj per du koloroj 8+16, aŭ per tri koloroj 8+8+8 respektive. (eo) In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra. It can be obtained by rectification of the 24-cell, reducing its octahedral cells to cubes and cuboctahedra. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC24. It can also be considered a cantellated 16-cell with the lower symmetries B4 = [3,3,4]. B4 would lead to a bicoloring of the cuboctahedral cells into 8 and 16 each. It is also called a runcicantellated demitesseract in a D4 symmetry, giving 3 colors of cells, 8 for each. (en) 截半正二十四胞体由48个三维胞组成: 24个立方体, 和24个截半立方体。每个顶点周围环绕着三个截半立方体和两个立方体。 (zh)
prov:wasDerivedFrom	wikipedia-en:Rectified_24-cell?oldid=994907694&ns=0
page length (characters) of wiki page	7412 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Rectified_24-cell
is Link from a Wikipage to another Wikipage of	Bipyramid D4 polytope Uniform 4-polytope List of mathematical shapes List of polygons, polyhedra and polytopes Emanuel Lodewijk Elte Runcitruncated tesseractic honeycomb Truncated 24-cells 24-cell List of F4 polytopes Rectification (geometry) Birectified 16-cell honeycomb Uniform 5-polytope Uniform polytope Rectified 24-cell honeycomb

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