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

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

    The number of different states that are reachable for cubes of any size can be simply related to the numbers that are applicable to the size 3 and size 4 cubes. Hofstadter in his 1981 paper [ 22 ] provided a full derivation of the number of states for the standard size 3 Rubik's cube.

  3. Identity matrix - Wikipedia

    en.wikipedia.org/wiki/Identity_matrix

    In linear algebra, the identity matrix of size is the square matrix with ones on the main diagonal and zeros elsewhere. It has unique properties, for example when the identity matrix represents a geometric transformation, the object remains unchanged by the transformation. In other contexts, it is analogous to multiplying by the number 1.

  4. Block matrix - Wikipedia

    en.wikipedia.org/wiki/Block_matrix

    In mathematics, a block matrix or a partitioned matrix is a matrix that is interpreted as having been broken into sections called blocks or submatrices. [1] [2]Intuitively, a matrix interpreted as a block matrix can be visualized as the original matrix with a collection of horizontal and vertical lines, which break it up, or partition it, into a collection of smaller matrices.

  5. Diagonalizable matrix - Wikipedia

    en.wikipedia.org/wiki/Diagonalizable_matrix

    In block matrix form, we can consider the A-matrix to be a matrix of 1x1 dimensions whilst P is a 1xn dimensional matrix. The D-matrix can be written in full form with all the diagonal elements as an nxn dimensional matrix:

  6. Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Cube

    An illustration of an unsolved 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. ...

  7. Matrix (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Matrix_(mathematics)

    The identity matrix I n of size n is the n-by-n matrix in which all the elements on the main diagonal are equal to 1 and all other elements are equal to 0, for example, = [], = [], = [] It is a square matrix of order n, and also a special kind of diagonal matrix.

  8. USB 3.0 - Wikipedia

    en.wikipedia.org/wiki/USB_3.0

    The SuperSpeed architecture and protocol (aka SuperSpeed USB) still implements the one-lane Gen 1x1 (formerly known as USB 3.1 Gen 1) operation mode. Therefore, two-lane operations, namely USB 3.2 Gen 1x2 (10 Gbit/s with raw data rate of 1 GB/s after encoding overhead) and USB 3.2 Gen 2x2 (20 Gbit/s, 2.422 GB/s), are only possible with Full ...

  9. Pocket Cube - Wikipedia

    en.wikipedia.org/wiki/Pocket_Cube

    Pocket cube with one layer partially turned. The group theory of the 3×3×3 cube can be transferred to the 2×2×2 cube. [3] The elements of the group are typically the moves of that can be executed on the cube (both individual rotations of layers and composite moves from several rotations) and the group operator is a concatenation of the moves.