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  2. 9-cube - Wikipedia

    en.wikipedia.org/wiki/9-cube

    9-orthoplex: Properties: convex, Hanner polytope: In geometry, a 9-cube is a nine-dimensional hypercube with 512 vertices, ... Images. orthographic projections; B 9 B ...

  3. Rectified 9-cubes - Wikipedia

    en.wikipedia.org/wiki/Rectified_9-cubes

    In nine-dimensional geometry, a rectified 9-cube is a convex uniform 9-polytope, being a rectification of the regular 9-cube. There are 9 rectifications of the 9-cube. The zeroth is the 9-cube itself, and the 8th is the dual 9-orthoplex. Vertices of the rectified 9-cube are located at the edge-centers of the 9-orthoplex. Vertices of the ...

  4. Rectified 9-orthoplexes - Wikipedia

    en.wikipedia.org/wiki/Rectified_9-orthoplexes

    1.4 Images. 2 Birectified 9 ... In nine-dimensional geometry, a rectified 9-simplex is a convex uniform 9-polytope, ... 9-orthoplex • 9-cube: 9-demicube: Uniform 10 ...

  5. Hypercube - Wikipedia

    en.wikipedia.org/wiki/Hypercube

    In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3); the special case for n = 4 is known as a tesseract.It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length.

  6. List of regular polytopes - Wikipedia

    en.wikipedia.org/wiki/List_of_regular_polytopes

    Convex Star Regular (3D) polyhedra Convex ... { }, , is a point p and its mirror image point p', and the line segment ... 9-cube {4,3 7} 512: 2304: 4608: 5376: 4032 ...

  7. 9-demicube - Wikipedia

    en.wikipedia.org/wiki/9-demicube

    In geometry, a demienneract or 9-demicube is a uniform 9-polytope, constructed from the 9-cube, with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM 9 for a 9-dimensional half measure polytope.

  8. Cantellated 5-orthoplexes - Wikipedia

    en.wikipedia.org/wiki/Cantellated_5-orthoplexes

    1.3 Images. 2 Cantitruncated 5 ... In five-dimensional geometry, a cantellated 5-orthoplex is a convex uniform 5-polytope, ... 9-orthoplex • 9-cube: 9-demicube ...

  9. Uniform polytope - Wikipedia

    en.wikipedia.org/wiki/Uniform_polytope

    Regular n-polytopes have n orders of rectification.The zeroth rectification is the original form. The (n−1)-th rectification is the dual.A rectification reduces edges to vertices, a birectification reduces faces to vertices, a trirectification reduces cells to vertices, a quadirectification reduces 4-faces to vertices, a quintirectification reduced 5-faces to vertices, and so on.