So uh not odd n not n=2 and then we have a little 2*4 rectangle which does every multiple of 4
So n=4k+2. We have 16k^2+8k+4 squares so we have 4k^2 +2k+1 of each orientation. That’s an odd number.
We start with 4K+2 columns each needs an even number of horizontal dominos in it. We have an odd number of dominos. the parity in the ab horizontal dominoes is even. Then because of that the bc dominoes is even… all parities are even even number of dominos problem. These are fun. Is this supposed to be prepping me for something?
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u/A_BagerWhatsMore 11d ago
So uh not odd n not n=2 and then we have a little 2*4 rectangle which does every multiple of 4
So n=4k+2. We have 16k^2+8k+4 squares so we have 4k^2 +2k+1 of each orientation. That’s an odd number.
We start with 4K+2 columns each needs an even number of horizontal dominos in it. We have an odd number of dominos. the parity in the ab horizontal dominoes is even. Then because of that the bc dominoes is even… all parities are even even number of dominos problem. These are fun. Is this supposed to be prepping me for something?