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A Rubik's Cube is in the superflip pattern when each corner piece is in the correct position, but each edge piece is incorrectly oriented. [8] In 1992, a solution for the superflip with 20 face turns was found by Dik T. Winter, of which the minimality was shown in 1995 by Michael Reid, providing a new lower bound for the diameter of the cube group.
Speedcubing, also referred to as speedsolving, is a competitive sport centered around the rapid solving of various combination puzzles. The most prominent puzzle in this category is the 3x3x3 puzzle, commonly known as the Rubik's Cube. Participants in this sport are known as "speedcubers," who focus specifically on solving these puzzles at high ...
n. -dimensional sequential move puzzle. Five-dimensional 2 5 puzzle partial cutaway demonstrating that even with the minimum size in 5-D the puzzle is far from trivial. The 4-D nature of the stickers is clearly visible in this screen shot. The Rubik's Cube is the original and best known of the three-dimensional sequential move puzzles.
The Simple Solution to Rubik's Cube. The Simple Solution to Rubik's Cube by James G. Nourse is a book that was published in 1981. The book explains how to solve the Rubik's Cube. The book became the best-selling book of 1981, selling 6,680,000 copies that year. It was the fastest-selling title in the 36-year history of Bantam Books .
Gram matrix. In linear algebra, the Gram matrix (or Gramian matrix, Gramian) of a set of vectors in an inner product space is the Hermitian matrix of inner products, whose entries are given by the inner product . [ 1] If the vectors are the columns of matrix then the Gram matrix is in the general case that the vector coordinates are complex ...
The Rubik's Cube group is a group that represents the structure of the Rubik's Cube mechanical puzzle. Each element of the set corresponds to a cube move, which is the effect of any sequence of rotations of the cube's faces. With this representation, not only can any cube move be represented, but any position of the cube as well, by detailing ...
In mathematics (specifically linear algebra ), the Woodbury matrix identity, named after Max A. Woodbury, [ 1][ 2] says that the inverse of a rank- k correction of some matrix can be computed by doing a rank- k correction to the inverse of the original matrix. Alternative names for this formula are the matrix inversion lemma, Sherman–Morrison ...
Hilbert matrix. In linear algebra, a Hilbert matrix, introduced by Hilbert ( 1894 ), is a square matrix with entries being the unit fractions. For example, this is the 5 × 5 Hilbert matrix: The entries can also be defined by the integral. that is, as a Gramian matrix for powers of x. It arises in the least squares approximation of arbitrary ...