Article 197ZF Alphamagic squares in French

Alphamagic squares in French

by
John
from John D. Cook on (#197ZF)

In earlier blog posts I give examples of alphamagic squares in English and in Spanish. This post looks at French.

FrenchFlag.png

The Wikipedia article on alphamagic squares, quoting The Universal Book of Mathematics, says

French allows just one 3 i- 3 alphamagic square involving numbers up to 200, but a further 255 squares if the size of the entries is increased to 300.

My script did not find a French alphamagic with entries no larger than 200, but it did find 254 squares with entries no larger than 300. (For each of these squares there are 7 more variations you can form by rotation and reflection.)

The French alphamagic square with the smallest maximum entry that I found is the following.

french_alphamagic_1.png

When spelled out in French we get

french_alphamagic_1w.png

And when we replace each cell with its number of letters we get the following magic square:

french_alphamagic_1f.png

A list of all the French magic squares with maximum element 300 that I found is available here.

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