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There is a page named "Regular star 4-polytope" on Wikipedia

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  • Thumbnail for Regular 4-polytope
    mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra...
    27 KB (1,648 words) - 03:37, 24 July 2024
  • Thumbnail for Regular polytope
    In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In...
    41 KB (5,265 words) - 03:43, 24 July 2024
  • Thumbnail for 4-polytope
    In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. It is a connected and closed figure...
    16 KB (1,774 words) - 22:15, 5 April 2024
  • Thumbnail for List of regular polytopes
    counting polytopes of full rank. There are more regular polytopes of each rank > 1 in higher dimensions. There are no Euclidean regular star tessellations...
    98 KB (5,294 words) - 08:09, 25 July 2024
  • In 4-dimensions, there are a large number of regular compounds of regular polytopes. Coxeter lists a few of these in his book Regular Polytopes. McMullen...
    25 KB (1,425 words) - 16:50, 28 November 2023
  • Thumbnail for Uniform 4-polytope
    that there are exactly 6 regular polytopes in 4 dimensions and only 3 in 5 or more dimensions. Regular star 4-polytopes (star polyhedron cells and/or vertex...
    134 KB (4,310 words) - 03:16, 24 July 2024
  • Thumbnail for Star polygon
    Moravian star Pentagramma mirificum Regular star 4-polytope Rub el Hizb Star (glyph) Star polyhedron, Kepler–Poinsot polyhedron, and uniform star polyhedron...
    17 KB (1,624 words) - 01:11, 16 April 2024
  • There are ten star Schläfli-Hess 4-polytopes, all with fivefold symmetry, giving in all sixteen regular 4-polytopes. A non-convex polytope may be self-intersecting;...
    26 KB (3,117 words) - 20:14, 25 May 2024
  • Thumbnail for Cross-polytope
    2-dimensional cross-polytope is a square, a 3-dimensional cross-polytope is a regular octahedron, and a 4-dimensional cross-polytope is a 16-cell. Its facets...
    21 KB (1,016 words) - 03:45, 24 July 2024
  • the 5-polytope Edge the (n−4)-face of the 5-polytope Face the peak or (n−3)-face of the 5-polytope Cell the ridge or (n−2)-face of the 5-polytope Hypercell...
    30 KB (2,685 words) - 07:39, 28 July 2024
  • Cross-polytope 24-cell 120-cell 600-cell Ditope Hosotope 3-sphere Star or (Schläfli–Hess) regular 4-polytope Icosahedral 120-cell Small stellated 120-cell Great 120-cell...
    47 KB (3,580 words) - 17:01, 29 June 2024
  • Thumbnail for Grand 600-cell
    Grand 600-cell (category Regular 4-polytopes)
    polytetrahedron is a regular star 4-polytope with Schläfli symbol {3, 3, 5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is the only one with...
    5 KB (381 words) - 03:37, 24 July 2024
  • Polyhedra? Branko Grünbaum (2003), Fig. 3 Regular polytopes, p.95 Coxeter, The Densities of the Regular Polytopes II, 1932, p.53 Lee, Hwa Young; "Origami-Constructible...
    30 KB (3,196 words) - 03:47, 24 July 2024
  • In geometry, a pentagonal polytope is a regular polytope in n dimensions constructed from the Hn Coxeter group. The family was named by H. S. M. Coxeter...
    8 KB (494 words) - 03:45, 24 July 2024
  • Thumbnail for Icosahedral 120-cell
    Icosahedral 120-cell (category Regular 4-polytopes)
    600-cell or icosaplex is a regular star 4-polytope with Schläfli symbol {3,5,5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is constructed by 5...
    4 KB (284 words) - 03:37, 24 July 2024
  • Thumbnail for Small stellated 120-cell
    Small stellated 120-cell (category Regular 4-polytopes)
    polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,5,3}. It is one of 10 regular Schläfli-Hess polytopes. It has the same edge arrangement...
    4 KB (286 words) - 03:37, 24 July 2024
  • Thumbnail for Great grand stellated 120-cell
    Great grand stellated 120-cell (category Regular 4-polytopes)
    stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,3}, one of 10 regular Schläfli-Hess 4-polytopes. It is unique among the 10...
    5 KB (373 words) - 03:37, 24 July 2024
  • Thumbnail for Grand stellated 120-cell
    Grand stellated 120-cell (category Regular 4-polytopes)
    a regular star 4-polytope with Schläfli symbol {5/2,5,5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is also one of two such polytopes that...
    3 KB (217 words) - 03:37, 24 July 2024
  • Thumbnail for Great 120-cell
    Great 120-cell (category Regular 4-polytopes)
    is a regular star 4-polytope with Schläfli symbol {5,5/2,5}. It is one of 10 regular Schläfli-Hess polytopes. It is one of the two such polytopes that...
    4 KB (213 words) - 03:37, 24 July 2024
  • Thumbnail for Grand 120-cell
    Grand 120-cell (category Regular 4-polytopes)
    regular star 4-polytope with Schläfli symbol {5,3,5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is one of four regular star 4-polytopes discovered...
    4 KB (225 words) - 03:37, 24 July 2024
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