neutr

[Petr Neudek(Guest)]

   Email does not work, so I'm sending a message here-I'm sorry.
The problem of "squares" I can solve. They are the schedules with the content of all the pairs. For example, 3 x 3 = 9 numbers (12 Tips for 3), 4 x 4 = 16 (20 tips after 4), 5 x 5 = 25 (30 tips after 5) 6 x 6 cannot be a purely, 7 x 7 = 49 (56 tips after 7), and so on for each square with an odd number of. All other numbers are dealt with in the larger odd squares. Write me an email address, I'll send you the workbook .XLS. I'm sorry I don't speak English

[Ian Wakeling]

I am not certain, but I think your 4 x 4 = 16 schedule must be like one of the partitions that you can find here (for example look for the five rows that are marked Part. 0 which consist of 20 blocks of 4).   If I am right, then the schedules that you are making will not be possible for all odd numbers, in particular 15 x 15 & 21 x 21 are the first that will cause problems.  These are well known schedules to mathematicians and are related to affine geometries and affine planes, see here on MathWorld for example.