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  2. Perfect square - Wikipedia

    en.wikipedia.org/wiki/Perfect_square

    Toggle the table of contents. Perfect square. ... Printable version ... A perfect square is an element of algebraic structure that is equal to the square of another ...

  3. Most-perfect magic square - Wikipedia

    en.wikipedia.org/wiki/Most-perfect_magic_square

    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 squares. For n = 36, there are about 2.7 × 10 44 essentially different most-perfect magic squares.

  4. Square number - Wikipedia

    en.wikipedia.org/wiki/Square_number

    Squares of odd numbers are odd, and are congruent to 1 modulo 8, since (2n + 1) 2 = 4n(n + 1) + 1, and n(n + 1) is always even. In other words, all odd square numbers have a remainder of 1 when divided by 8. Every odd perfect square is a centered octagonal number. The difference between any two odd perfect squares is a multiple of 8.

  5. Magic square - Wikipedia

    en.wikipedia.org/wiki/Magic_square

    All the pandiagonal squares of order 4 are also most perfect. Franklin magic square when it is a doubly even magic square with three further properties (i) every bent diagonal adds to the magic constant, (ii) every half row and half column starting at an outside edge adds to half the magic constant, and (iii) the square is compact.

  6. Super Bowl Squares: How Much Are Your Numbers Worth? - AOL

    www.aol.com/news/2013-02-01-super-bowl-squares...

    The folks at Minyanville did a comprehensive calculation and came up with the following chart. The numbers are based on a $50 a square game, with a $625 payout for the 1st and 3rd quarters, a ...

  7. Squaring the square - Wikipedia

    en.wikipedia.org/wiki/Squaring_the_square

    The first perfect squared square discovered, a compound one of side 4205 and order 55. [1] Each number denotes the side length of its square. Squaring the square is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer length.)

  8. Pandiagonal magic square - Wikipedia

    en.wikipedia.org/wiki/Pandiagonal_magic_square

    Since each 2 × 2 subsquare sums to the magic constant, 4 × 4 pandiagonal magic squares are most-perfect magic squares. In addition, the two numbers at the opposite corners of any 3 × 3 square add up to half the magic constant. Consequently, all 4 × 4 pandiagonal magic squares that are associative must have duplicate cells.

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