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  2. 9-cube - Wikipedia

    en.wikipedia.org/wiki/9-cube

    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 each 7-face.

  3. Polygon - Wikipedia

    en.wikipedia.org/wiki/Polygon

    Polygon. Some polygons of different kinds: open (excluding its boundary), boundary only (excluding interior), closed (including both boundary and interior), and self-intersecting. In geometry, a polygon (/ ˈpɒlɪɡɒn /) is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal ...

  4. Soma cube - Wikipedia

    en.wikipedia.org/wiki/Soma_cube

    The pieces of a Soma cube The same puzzle, assembled into a cube. The Soma cube is a solid dissection puzzle invented by Danish polymath Piet Hein in 1933 [1] during a lecture on quantum mechanics conducted by Werner Heisenberg. [2] Seven different pieces made out of unit cubes must be assembled into a 3×3×3 cube.

  5. Regular polygon - Wikipedia

    en.wikipedia.org/wiki/Regular_polygon

    For n > 2, the number of diagonals is (); i.e., 0, 2, 5, 9, ..., for a triangle, square, pentagon, hexagon, ... . The diagonals divide the polygon into 1, 4, 11, 24, ... pieces OEIS : A007678 . For a regular n -gon inscribed in a unit-radius circle, the product of the distances from a given vertex to all other vertices (including adjacent ...

  6. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.

  7. Square-1 (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Square-1_(puzzle)

    The Square-1 puzzle was sold in this shape with instructions for turning it back to a cube. This is halfway through a vertical turn. The Square-1 is a variant of the Rubik's Cube. Its distinguishing feature among the numerous Rubik's Cube variants is that it can change shape as it is twisted, due to the way it is cut, thus adding an extra level ...

  8. Rubik's family cubes of varying sizes - Wikipedia

    en.wikipedia.org/wiki/Rubik's_family_cubes_of...

    Rubik's family cubes of varying sizes. The original Rubik's cube was a mechanical 3×3×3 cube puzzle invented in 1974 by the Hungarian sculptor and professor of architecture Ernő Rubik. Extensions of the Rubik's cube have been around for a long time and come in both hardware and software forms. The major extension have been the availability ...

  9. 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. ... 9-orthoplex • 9-cube: 9-demicube: Uniform 10-polytope: 10-simplex:

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