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  2. 9-cube - Wikipedia

    en.wikipedia.org/wiki/9-cube

    convex, Hanner polytope. In geometry, a 9-cube is a nine- dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces. It can be named by its Schläfli symbol {4,3 7}, being composed of three 8-cubes around ...

  3. 9-orthoplex - Wikipedia

    en.wikipedia.org/wiki/9-orthoplex

    In geometry, a 9-orthoplex or 9- cross polytope, is a regular 9-polytope with 18 vertices, 144 edges, 672 triangle faces, 2016 tetrahedron cells, 4032 5-cells 4-faces, 5376 5-simplex 5-faces, 4608 6-simplex 6-faces, 2304 7-simplex 7-faces, and 512 8-simplex 8-faces . It has two constructed forms, the first being regular with Schläfli symbol {3 ...

  4. Square watermelon - Wikipedia

    en.wikipedia.org/wiki/Square_watermelon

    To retain the proper shape, cube melons must be harvested before they are ripe, rendering them inedible. [7] Since the advent of the cube watermelon, other watermelon shapes have been introduced, such as hearts and pyramids. [8] [9] They are also available in other countries now, such as in Germany. Cubic watermelon in market, Munich, Germany

  5. Impossible cube - Wikipedia

    en.wikipedia.org/wiki/Impossible_cube

    Impossible cube. Viewed from a certain angle, this cube appears to defy the laws of geometry. The impossible cube or irrational cube is an impossible object invented by M.C. Escher for his print Belvedere. It is a two-dimensional figure that superficially resembles a perspective drawing of a three-dimensional cube, with its features drawn ...

  6. List of polygons, polyhedra and polytopes - Wikipedia

    en.wikipedia.org/wiki/List_of_polygons...

    Print/export Download as PDF; Printable version; In other projects Appearance. move to sidebar hide ... 9-orthoplex • 9-cube: 9-demicube: Uniform 10-polytope: 10 ...

  7. Rectified 9-cubes - Wikipedia

    en.wikipedia.org/wiki/Rectified_9-cubes

    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.

  8. Net (polyhedron) - Wikipedia

    en.wikipedia.org/wiki/Net_(polyhedron)

    Net (polyhedron) A net of a regular dodecahedron. The eleven nets of a cube. In geometry, a net of a polyhedron is an arrangement of non-overlapping edge -joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron. Polyhedral nets are a useful aid to the study of polyhedra and solid geometry in general ...

  9. Rhombic dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombic_dodecahedron

    The non-regularity of these images are due to projective distortion; the facets of the 24-cell are regular octahedra in 4-space. This decomposition gives an interesting method for constructing the rhombic dodecahedron: cut a cube into six congruent square pyramids, and attach them to the faces of a second cube. The triangular faces of each pair ...

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