I need to make remarks about Tarry's Proof for the nonexistence of 6x6 Latin Squares as part of my final exam for a class I'm in. Problem is, I can't find it ANYWHERE on the internet. I can only find minor comments about it that don't explain what he did. Does anyone know where I can find it online? Or does anyone know where I can find a detailed explanation of his proof? if you have other proof for this question please share that... i need to proof of this question
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Tarry's paper is available in digitized form at the online French National Library, http://gallica.bnf.fr/ as well as many volumes of 19th and early 20th century scientific journals.
Here is a link for the first page:
It is quite a long paper (34 pages) investing potential cases sorted according to various conditions. He starts from general 6x6 latin squares and recognizes that the 9408 individual cases ("permutation carrées" = square permutations = latin squares) can be sorted into 17 types. He coins several names such as "écusson" (small shield, with an heraldic meaning) as a way to present the type of permutations (in term of cycles) of the rows and columns of latin squares. He finds 16 different possible "écussons" and he sorts the 17 types into 3 classes, depending on presence of cycles of order 2.
Hope it will get you started.
If you have trouble with the french, or with using Gallica to download the whole article do not hesitate to ask specific questions.
How about you read the paper that he wrote!
Since your after remarks, here's some.