Poetry in mathematics.

While I was looking for 'poetry in mathematics', all I could find was this article in the Journal of on-line Mathematics and its Applications (volume 6 October 2006) by JoAnne Growney called Mathematics in Poetry.


As I find it hard enough to describe what I mean by Poetry in mathematics, in my native language Dutch, I won't even give it a try in English. But I would like to show this snippet of math as an example of what I consider deeply poetic. Although the context is math, to me this is poetry, period.

$$\begin{aligned} 1^2 &= 1^3\\ (1+2)^2&=1^3+2^3\\ (1+2+3)^2&=1^3+2^3+3^3\\ (1+2+3+4)^2&=1^3+2^3+3^3+4^3\\ (1+2+3+4+5)^2&=1^3+2^3+3^3+4^3+5^3\\ (1+2+3+4+5+6)^2&=1^3+2^3+3^3+4^3+5^3+6^3\\ \cdots &= \cdots \end{aligned}$$

$(1,9,36,100,225,441,\cdots)$.