I didn’t get this feeling from the proof in the article. I thought there was a kind of poetry to it. The diagram and colors make it reasonably easy to understan

I didn’t get this feeling from the proof in the article. I thought there was a kind of poetry to it. The diagram and colors make it reasonably easy to understand and they emphasize the geometrical nature of the proof, which uses only elementary math: the formula for the area of a triangle and Thales’ theorem (If my memory is correct, I haven’t used that name since high school!). On the other hand, a “proof with words” would likely have derived the explicit formulas for I_n and C_n in order to prove the relationship and would have been much more clanky. If I had to make a comparison, this felt like reading good functional code. Concise, a bit mysterious at first, but once you understand what it does you feel enlightened. (Vs eg. wading through for loops and index arithmetic, which also does the job but is more tedious to read)