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  2. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    5-cube, Rectified 5-cube, 5-cube, Truncated 5-cube, Cantellated 5-cube, Runcinated 5-cube, Stericated 5-cube; 5-orthoplex, Rectified 5-orthoplex, Truncated 5-orthoplex, Cantellated 5-orthoplex, Runcinated 5-orthoplex; Prismatic uniform 5-polytope For each polytope of dimension n, there is a prism of dimension n+1. [citation needed]

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

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

    A cube layer is a one-cubie-thick slice of the cube perpendicular to its axis of rotation. Outer layers (faces) contain more cubies than inner layers. For a cube of size , there will be layers along any given axis. Cube face The meaning of a cube face depends on the context in which it is used.

  4. n-dimensional sequential move puzzle - Wikipedia

    en.wikipedia.org/wiki/N-dimensional_sequential...

    Geometric shape: hexeract (6D) and hepteract (7D) 7-cube 5 7 virtual puzzle, scrambled. Andrey Astrelin's Magic Cube 7D software is capable of rendering puzzles of up to 7 dimensions in twelve sizes from 3 4 to 5 7. As of July 2024, in terms of puzzles exclusive to Magic Cube 7D, only the 3 6, 3 7, 4 6, and 5 6 puzzles have been solved. [5]

  5. Mirror blocks - Wikipedia

    en.wikipedia.org/wiki/Mirror_blocks

    The Mirror Blocks, also known as the Mirror Cube and Bump Cube, is a type of combination puzzle and shape modification of the standard 3×3×3 Rubik's Cube and was invented in 2006. The puzzle's internal mechanism is nearly identical to that of the Rubik's Cube, although it differs from normal 3×3 cubes in that all pieces are the same color ...

  6. Solid geometry - Wikipedia

    en.wikipedia.org/wiki/Solid_geometry

    Hyperboloid of one sheet. Solid geometry or stereometry is the geometry of three-dimensional Euclidean space (3D space). [1] A solid figure is the region of 3D space bounded by a two-dimensional closed surface; for example, a solid ball consists of a sphere and its interior.

  7. Tesseract - Wikipedia

    en.wikipedia.org/wiki/Tesseract

    In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. [1] Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces , the hypersurface of the tesseract consists of eight cubical cells , meeting at right ...

  8. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    The cube is non-composite polyhedron, meaning it is a convex polyhedron that cannot be separated into two or more regular polyhedrons. The cube can be applied to construct a new convex polyhedron by attaching another. [40] Attaching a square pyramid to each square face of a cube produces its Kleetope, a polyhedron known as the tetrakis ...

  9. 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.