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The problem here is that dark matter doesn't "stick" to ordinary matter. It passes through it even more easily than neutrinos do. So it wouldn't change the weight of your squares. As far as we can tell so far, dark matter only interacts with ordinary matter through gravitational forces (which are practically non-existent on the level of individual particles).I like your spirit, though. You remind me a lot of myself when I was your age. Keep on thinking and studying. You'll find many surprises along the way!