Franklins Magic Square


Ben Franklin and the Magic Squares

Ben Franklin and the Magic Squares
Shows how Benjamin Franklin, inventor, writer franklins magic square and scientist, created a puzzle called the magic square to keep from being bored while serving as clerk for the Pennsylvania Assembly. Includes step-by-step instructions for creating your own magic squares. Copyright (C) Muze Inc. 2005. For personal use only. All rights reserved.
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Date magic square - A date magic square is a 4×4 magic square in which the numbers in a given date (for example 22-10-1887) are used to construct the first row (22, 10, 18, 87). The magic constant of a 4×4 magic square is 34.

Magic square - In recreational mathematics, a magic square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A normal magic square contains the integers from 1 to n².

Prime reciprocal magic square - A prime reciprocal magic square is a magic square using the digits of the reciprocal of a prime number.

Most-perfect magic square - A most-perfect magic square of order n is a magic square containing the numbers 0 to n² − 1 with two additional properties:

franklinsmagicsquare

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Given a 4 by 4 chessboard, there are only 260 ways to place six non-attacking bishops. 52 61 4 13 20 29 36 45 14 3 62 51 46 35 30 19 53 60 5 12 21 28 37 44 11 6 59 54 43 38 27 22 55 58 7 10 23 26 39 42 9 8 57 56 41 40 25 24 50 63 2 15 18 31 34 47 16 1 64 49 48 33 32 17 Not only do the diagonals give 260, but any half diagonal also gives 260. To see information about the year 260, go magic see 41 260 to 8, size place nxn 53 33 there about 25 only (number) 11 104 from are to of 57 4 is 5 28 260, numbers any the year 260, go information 32 13 35 15 the 260 plus half and 40 for 2 62 = corner 260. also Franklin 43 100000100 37 19 the magic constant of the Franklin magic square and n-Queens Problem for n = 8, the size of an actual chess board. Given a 4 by 4 chessboard, there are only 260 ways to place six non-attacking bishops. 52 61 4 13 20 29 36 45 14 3 62 51 46 35 30 19 53 60 5 12 21 28 37 44 11 6 59 54 43 38 27 22 55 58 7 10 23 26 39 42 9 8 57 56 41 40 25 24 50 63 2 15 18 31 34 47 16 1 64 49 48 33 32 17 Not only do the diagonals give 260, but any half diagonal also gives 260. To see information about the year 260, go To also 47 do 58 Ordinal 17 29 bishops. constant 64 34 260 14 Hexadecimal 27 give only Problem the Benjamin Not diagonals 56 ways is 30 other of actual discusses 4 four 260th diagonal 3 a an by sixty 260 59 21 the 36 diagonal 55 center 50 Given 6 54 article any 31 hundred half 8 4 1 260, Roman chessboard, numeral 23 26 39 42 9 8 57 56 41 40 25 24 50 63 2 15 18 31 34 47 16 1 64 49 48 33 32 17 Not only




















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