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As a matter mathematics teacher, of course measurement is the obvious application, and you would be surprised how poorly equipped students are to measure accurately. You COULD do unit conversion to inches and then work with fractions, but I think the accuracy would suffer! For me, symmetry is where math and art come together on this project!
This is lovely! It will be fun to make and I have just the room to try it in!
I would guess Tacky glue would work great. Most go on white but dry clear.