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Apart from the trivial case of the first order square, most-perfect magic squares are all of order 4n. In their book, Kathleen Ollerenshaw and David S. Brée give a method of construction and enumeration of all most-perfect magic squares. They also show that there is a one-to-one correspondence between reversible squares and most-perfect magic ...
There is a standardised notation for recording games. All 32 reachable board squares are numbered in sequence. The numbering starts in Black's double-corner (where Black has two adjacent squares). Black's squares on the first rank are numbered 1 to 4; the next rank 5 to 8, and so on. Moves are recorded as "from-to", so a move from 9 to 14 would ...
Cribbage Squares, occasionally Cribbage Square, is a patience or card solitaire based on Cribbage which can be played using a deck of playing cards. This game works the same way as Poker Squares , but with cribbage scoring.
All 4 × 4 pandiagonal magic squares using numbers 1-16 without duplicates are obtained by letting a equal 1; letting b, c, d, and e equal 1, 2, 4, and 8 in some order; and applying some translation. For example, with b = 1 , c = 2 , d = 4 , and e = 8 , we have the magic square
The goal is to arrange the squares into a 4 by 6 grid so that when two squares share an edge, the common edge is the same color in both squares. In 1964, a supercomputer was used to produce 12,261 solutions to the basic version of the MacMahon Squares puzzle, with a runtime of about 40 hours.
A peculiarity of the construction method given above for the odd magic squares is that the middle number (n 2 + 1)/2 will always appear at the center cell of the magic square. Since there are (n - 1)! ways to arrange the skew diagonal terms, we can obtain (n - 1)! Greek squares this way; same with the Latin squares.
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Square number 16 as sum of gnomons. In mathematics, a square number or perfect square is an integer that is the square of an integer; [1] in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3 2 and can be written as 3 × 3.