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This is kind of a weird thought but if I obtained a bunch of different polarized cellophane squares as my set and considered my binary operation to be holding the squares over one another and observing the new color made, would that be considered math?? I think they could form a group. I would have the clear cellophane be my identity and each polarized color would have an inverse, namely it's oppositely polarized color which would look clear when placed on top of one another. One could solve for colors by using these methods. For example, if I had two cellophane squares on top of one another making the color purple, and I knew one of them was red, I could apply the "anti-red" to the stack and observe (solve) the previously unknown color.

Obviously the set is closed under the operation.

Would one consider that to actually be math or would that be more of an analogy to Groups? Stacking blocks and counting them is considered math, no?

Just trying to extend my thinking beyond the familiar numbers as I've started to learn a little bit about abstract algebra and find it fascinating. I'm also becoming a math teacher and thought this could potentially be an enlightening exercise for students.

thoughts?

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# Algebra experiment using cellophane

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