Over the past two years Gaurav Bhatnagar and I have written five columns for the Math education journal At Right Angles on the topics of mathematics and visual wordplay, specifically Ambigrams. In this five articles we have explored everything from symmetry to self-similarity, fractals to paradoxes. I have posted these articles on this website as they have been published (see here for the latest), but I finally decided to put them all together in one document for easier access. You can access the PDF here or read them all on this site as an embeddable document (see below).
Visualizing mathematics
I love visual proofs of mathematical theorems. One visual proof I use quite often in my design courses (CEP817 or CEP917) is a visual proof of the fact that the sum of consecutive odd numbers is a square number. In other words: 1 + 3 = 4 = 22 1 + 3 + 5 = 9 = 32 1 + 3...
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