A Fractal Poem

    A fractal is an object that displays self-similarity -- roughly, this means that the parts have the same shape as the whole -- as in the following diagram which shows successive stages in the development of the "box fractal" (from Wolfram MathWorld). 

   
Michigan poet Jack Ridl and I share an alma mater (Pennsylvania's Westminster College) and we recently connected when I found mathematical ideas in the poems in his collection Broken Symmetry  (Wayne State University Press, 2006); from that collection, here is "Fractals" -- offering us a poetic version of self-similar structure:

       Fractals    by Jack Ridl

       On this autumn afternoon, the light  
       falls across the last sentence in a letter,
       just before the last movement of Brahms’ 
       Fourth Symphony, a recording made more 
       than 20 years ago, the time when we were  
       looking for a house to rehabilitate, maybe  

Thirty and three

One of my poetry collections is a particular treasure because of its history.  My aunt, Ruth Margaret Simpson Robinson, graduated (as I also did) from Westminster College in New Wilmington, Pennsylvania.  At Westminster, a Chi Omega sorority sister of Aunt Ruth was Eleanor Graham Vance (1908-1985) who became a teacher and a writer; one of her biographical sketches mentions that she wrote for both children and adults, seeing many similarities between them.  Aunt Ruth passed on to me her personally-inscribed copy of  Eleanor Graham's 1939  collection, For These Moments, and in it I have found a poem with a tiny bit of arithmetic. I offer it here to you. 

Sum of moments

Here is a 3x3 square poem -- inspired by a recently-found margin-note I made in Differential and Integral Calculus (by Ross R Middlemiss) when it was my text for an introductory calculus course at Westminster College all those years ago:

          The sum of

          the moments

          is zero.

While the pages of text near the note go on with discussions and diagrams of slices and sums and limits -- they introduce the centroid, the moment of inertia, and the radius of gyration, and are importantly informative -- it is the margin-note that has today delighted me.  I wonder if the girl who wrote it saw it as I do today. I like the mystery.