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A Greek square and a Latin square should be paired such that their row shifts are in mutually opposite direction. The magic square is obtained by adding the Greek and Latin squares. When the order also happens to be a prime number, this method always creates pandiagonal magic square. This essentially re-creates the knight's move.
A portrait of Franklin c. 1746–1750, [Note 3] by Robert Feke widely believed to be the earliest known painting of Franklin [69] [70] Join, or Die, a 1754 political cartoon by Franklin, urged the colonies to join the Seven Years' War in the French and Indian War; the cartoon was later resurrected, serving as an iconic symbol in support of the ...
For instance, the Lo Shu Square – the unique 3 × 3 magic square – is associative, because each pair of opposite points form a line of the square together with the center point, so the sum of the two opposite points equals the sum of a line minus the value of the center point regardless of which two opposite points are chosen. [4]
This is a comprehensive list of primary and secondary works by or about Benjamin Franklin, one of the principal Founding Fathers of the United States. Works about Franklin have been consistently published during and after Franklin's life, spanning four centuries, and continue to appear in present-day publications.
During his entire adult life Franklin saved his correspondence, documents and other writings, which today include some 30,000 extant items. The Papers of Benjamin Franklin is a collaborative effort by a team of scholars at Yale University, American Philosophical Society and others who have searched, collected, edited, and published the numerous letters from and to Benjamin Franklin, and other ...
In 1779, Franklin came to disagree with the points he printed in Dissertation and burned all the copies he possessed of the pamphlet but one for historical purposes. However, since he had already come to give several copies to friends of his, four original copies still survive.
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 ...
The book was originally published in 1938 by Viking Press; it is an authoritative telling of Franklin's life that makes heavy use of his own autobiography and his later papers and essays. The book was the 1939 recipient of the Pulitzer Prize for Biography. [1] The book received critical acclaim upon release and has been re-released in numerous ...