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The mathematician described an 8x8 square with each square containing one of the numbers from 1 through 64. This square was simultaneously a semimagic square (all the rows and columns, but not the diagonals, add up to the same sum) and a solution to the Knight's tour problem according to which all 64 of the squares of the chess board must be ...
A pandiagonal magic square or panmagic square (also diabolic square, diabolical square or diabolical magic square) is a magic square with the additional property that the broken diagonals, i.e. the diagonals that wrap round at the edges of the square, also add up to the magic constant.
Let (i, j) be the square in column i and row j on the n × n chessboard, k an integer. One approach [3] is If the remainder from dividing n by 6 is not 2 or 3 then the list is simply all even numbers followed by all odd numbers not greater than n. Otherwise, write separate lists of even and odd numbers (2, 4, 6, 8 – 1, 3, 5, 7).
A Latin square is said to be reduced (also, normalized or in standard form) if both its first row and its first column are in their natural order. [4] For example, the Latin square above is not reduced because its first column is A, C, B rather than A, B, C. Any Latin square can be reduced by permuting (that is, reordering) the rows and columns ...
View of a frame-maker's workshop, oil on canvas, circa 1900 The elaborate decoration on this frame may be made by adhering molded plaster pieces to the wood base.. A picture frame is a container that borders the perimeter of a picture, and is used for the protection, display, and visual appreciation of objects and imagery such as photographs, canvas paintings, drawings and prints, posters ...