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  2. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    The cube can be represented as the cell, and examples of a honeycomb are cubic honeycomb, order-5 cubic honeycomb, order-6 cubic honeycomb, and order-7 cubic honeycomb. [64] The cube can be constructed with six square pyramids, tiling space by attaching their apices. [65] Polycube is a polyhedron in which the faces of many cubes are attached.

  3. Cubical complex - Wikipedia

    en.wikipedia.org/wiki/Cubical_complex

    The dimension of the face is the number of indices such that = [,]; a face of dimension , or -face, is itself naturally a unit elementary cube of dimension , and is sometimes called a subcube of . One can also regard ∅ {\textstyle \emptyset } as a face of dimension − 1 {\textstyle -1} .

  4. Cubic inch - Wikipedia

    en.wikipedia.org/wiki/Cubic_inch

    The cubic inch (symbol in 3) is a unit of volume in the Imperial units and United States customary units systems. It is the volume of a cube with each of its three dimensions (length, width, and height) being one inch long which is equivalent to 1 ⁄ 231 of a US gallon.

  5. Menger sponge - Wikipedia

    en.wikipedia.org/wiki/Menger_sponge

    Divide every face of the cube into nine squares in a similar manner to a Rubik's Cube. This sub-divides the cube into 27 smaller cubes. Remove the smaller cube in the middle of each face, and remove the smaller cube in the center of the larger cube, leaving 20 smaller cubes. This is a level-1 Menger sponge (resembling a void cube).

  6. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    The Rubik's Cube is a 3D combination puzzle invented in 1974 [2] [3] by Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic Cube, [4] the puzzle was licensed by Rubik to be sold by Pentangle Puzzles in the UK in 1978, [5] and then by Ideal Toy Corp in 1980 [6] via businessman Tibor Laczi and Seven Towns ...

  7. 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.

  8. 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.

  9. Volume - Wikipedia

    en.wikipedia.org/wiki/Volume

    Because the volume occupies three dimensions, if the metre (m) is chosen as a unit of length, the corresponding unit of volume is the cubic metre (m 3). The cubic metre is also a SI derived unit. [16] Therefore, volume has a unit dimension of L 3. [17] The metric units of volume uses metric prefixes, strictly in powers of ten. When applying ...