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Other magic figures

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Magic Squares

Abstract

By ‘other magic figures’ we mean those which either are squares but do not display the usual magic features or take another form (and thus obey other principles), such as magic triangles, rectangles, circles, crosses, cubes. Starting with the case of square figures, we shall first examine ‘literal squares’, that is, ones where we are to place different letters, in number equal to the order, in such a way that each line, column and diagonal includes them all. Such an arrangement may lend itself to the construction of magic squares. The second kind examined here will be that of squares with an empty cell, where the magic sum is nevertheless displayed. Finally, we shall consider the squares with ‘divided cells’, which are in fact two magic squares combined in a single figure.

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Sesiano, J. (2019). Other magic figures. In: Magic Squares. Sources and Studies in the History of Mathematics and Physical Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-17993-9_7

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