Inspired by Ramanujan, I am playing, experimenting, with 4 x 4 magic squares. I have ( independently ) found a way to generate them, infinite many of them if necessary. What's interesting about it is that theoretically the method should work for n x n magic squares.
15 | 0 | 9 | 8 |
5 | 5 | 4 | 18 |
5 | 13 | 10 | 4 |
7 | 14 | 9 | 2 |
15 | 10 | 10 | 7 |
6 | 13 | 5 | 18 |
4 | 13 | 11 | 14 |
17 | 6 | 16 | 3 |
16 | 106 | 160 | 79 |
156 | 85 | 6 | 114 |
1 | 88 | 182 | 90 |
188 | 82 | 13 | 78 |
Two follow-up projects come to mind. 1) A reading experiment. Since I discovered part about mathematics independently ( thanks to Ramanujan's 3 x 3 formula, of course ) reading about this topic in the literature should be quite different compared to reading about a subject you know nothing about, i.e. when the reading-protocol is 'discovery'. Anyway, that is the experiment. 2) A writing experiment. I'll try to write down the method I use with as much rigor as I possibly can. Will I be able to produce something readable? - Unfortunately I have more urgent tasks to handle.
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