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About: Rectified tesseract

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In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra. It has half the vertices of a runcinated tesseract, with its construction, called a runcic tesseract. It has two uniform constructions, as a rectified 8-cell r{4,3,3} and a cantellated demitesseract, rr{3,31,1}, the second alternating with two types of tetrahedral cells. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC8.

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  • En geometrio, la rektigita 4-hiperkubo estas konveksa uniforma plurĉelo. Kiel la nomo sugestas, ĝi povas esti farita per rektigo de la regula 4-hiperkubo; alivorte per senpintigo de ĝiaj verticoj je la mezpunktoj de ĝiaj lateroj. Ĝi estas barita per 24 ĉeloj: 8 kubokedroj, kaj 16 kvaredroj. (eo)
  • In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra. It has half the vertices of a runcinated tesseract, with its construction, called a runcic tesseract. It has two uniform constructions, as a rectified 8-cell r{4,3,3} and a cantellated demitesseract, rr{3,31,1}, the second alternating with two types of tetrahedral cells. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC8. (en)
  • 截半超立方体(Rectified tesseract)，在四维几何学中，是一个由16个正四面体和8个截半立方体胞组成的。每条棱都连接到一个正四面体和两个截半立方体。每个顶点周围环绕着两个正四面体和三个截半立方体。它总共有88个面（64个三角形面和24个正方形面），96条棱和32个顶点。它的顶点图是正三角柱。 (zh)
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  • En geometrio, la rektigita 4-hiperkubo estas konveksa uniforma plurĉelo. Kiel la nomo sugestas, ĝi povas esti farita per rektigo de la regula 4-hiperkubo; alivorte per senpintigo de ĝiaj verticoj je la mezpunktoj de ĝiaj lateroj. Ĝi estas barita per 24 ĉeloj: 8 kubokedroj, kaj 16 kvaredroj. (eo)
  • In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra. It has half the vertices of a runcinated tesseract, with its construction, called a runcic tesseract. It has two uniform constructions, as a rectified 8-cell r{4,3,3} and a cantellated demitesseract, rr{3,31,1}, the second alternating with two types of tetrahedral cells. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as tC8. (en)
  • 截半超立方体(Rectified tesseract)，在四维几何学中，是一个由16个正四面体和8个截半立方体胞组成的。每条棱都连接到一个正四面体和两个截半立方体。每个顶点周围环绕着两个正四面体和三个截半立方体。它总共有88个面（64个三角形面和24个正方形面），96条棱和32个顶点。它的顶点图是正三角柱。 (zh)
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  • Rektigita 4-hiperkubo (eo)
  • Rectified tesseract (en)
  • 截半超立方體 (zh)
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